## Begin on: Fri Oct 18 10:56:33 CEST 2019

ENUMERATION
No. of records: 1789

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 34 (30 non-degenerate)
2     [ E3b] : 170 (136 non-degenerate)
2*    [E3*b] : 170 (136 non-degenerate)
2ex   [E3*c] : 1 (1 non-degenerate)
2*ex  [ E3c] : 1 (1 non-degenerate)
2P    [  E2] : 30 (27 non-degenerate)
2Pex  [ E1a] : 12 (12 non-degenerate)
3     [ E5a] : 1068 (702 non-degenerate)
4     [  E4] : 85 (54 non-degenerate)
4*    [ E4*] : 85 (54 non-degenerate)
4P    [  E6] : 55 (28 non-degenerate)
5     [ E3a] : 34 (22 non-degenerate)
5*    [E3*a] : 34 (22 non-degenerate)
5P    [ E5b] : 10 (8 non-degenerate)

E22.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ B, A, B, A, B, A, A, B, A, B, A, B, A, A, B, A, B, A, B, B, A, B, A, B, A, B, B, A, B, A, B, A, 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^22, (Z^-1 * A * B^-1 * A^-1 * B)^22 ]
Map::
	R = (1, 24, 46, 68, 2, 26, 48, 70, 4, 28, 50, 72, 6, 30, 52, 74, 8, 32, 54, 76, 10, 34, 56, 78, 12, 36, 58, 80, 14, 38, 60, 82, 16, 40, 62, 84, 18, 42, 64, 86, 20, 44, 66, 88, 22, 43, 65, 87, 21, 41, 63, 85, 19, 39, 61, 83, 17, 37, 59, 81, 15, 35, 57, 79, 13, 33, 55, 77, 11, 31, 53, 75, 9, 29, 51, 73, 7, 27, 49, 71, 5, 25, 47, 69, 3, 23, 45, 67)
	L = (1, 45)(2, 46)(3, 47)(4, 48)(5, 49)(6, 50)(7, 51)(8, 52)(9, 53)(10, 54)(11, 55)(12, 56)(13, 57)(14, 58)(15, 59)(16, 60)(17, 61)(18, 62)(19, 63)(20, 64)(21, 65)(22, 66)(23, 67)(24, 68)(25, 69)(26, 70)(27, 71)(28, 72)(29, 73)(30, 74)(31, 75)(32, 76)(33, 77)(34, 78)(35, 79)(36, 80)(37, 81)(38, 82)(39, 83)(40, 84)(41, 85)(42, 86)(43, 87)(44, 88)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ A^2, S^2, B^2, B * A, (S * Z)^2, Z^-1 * B * Z * A, S * B * S * A, Z^-1 * A * Z * B, Z^-4 * A * Z^-7 ]
Map::
	R = (1, 24, 46, 68, 2, 27, 49, 71, 5, 31, 53, 75, 9, 35, 57, 79, 13, 39, 61, 83, 17, 43, 65, 87, 21, 41, 63, 85, 19, 37, 59, 81, 15, 33, 55, 77, 11, 29, 51, 73, 7, 25, 47, 69, 3, 28, 50, 72, 6, 32, 54, 76, 10, 36, 58, 80, 14, 40, 62, 84, 18, 44, 66, 88, 22, 42, 64, 86, 20, 38, 60, 82, 16, 34, 56, 78, 12, 30, 52, 74, 8, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 50)(3, 45)(4, 51)(5, 54)(6, 46)(7, 48)(8, 55)(9, 58)(10, 49)(11, 52)(12, 59)(13, 62)(14, 53)(15, 56)(16, 63)(17, 66)(18, 57)(19, 60)(20, 65)(21, 64)(22, 61)(23, 69)(24, 72)(25, 67)(26, 73)(27, 76)(28, 68)(29, 70)(30, 77)(31, 80)(32, 71)(33, 74)(34, 81)(35, 84)(36, 75)(37, 78)(38, 85)(39, 88)(40, 79)(41, 82)(42, 87)(43, 86)(44, 83)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, A^-1 * B^-1 * Z^-2, A^-1 * Z * B * Z^-1, (S * Z)^2, Z * A^-1 * Z^-1 * B, S * B * S * A, A^-1 * B^-1 * Z^3 * B^-1 * Z * A^-4, (B * A)^11 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 33, 55, 77, 11, 37, 59, 81, 15, 41, 63, 85, 19, 43, 65, 87, 21, 40, 62, 84, 18, 35, 57, 79, 13, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 27, 49, 71, 5, 30, 52, 74, 8, 34, 56, 78, 12, 38, 60, 82, 16, 42, 64, 86, 20, 44, 66, 88, 22, 39, 61, 83, 17, 36, 58, 80, 14, 31, 53, 75, 9, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 49)(7, 48)(8, 46)(9, 57)(10, 58)(11, 52)(12, 50)(13, 61)(14, 62)(15, 56)(16, 55)(17, 65)(18, 66)(19, 60)(20, 59)(21, 64)(22, 63)(23, 71)(24, 74)(25, 67)(26, 73)(27, 72)(28, 78)(29, 68)(30, 77)(31, 69)(32, 70)(33, 82)(34, 81)(35, 75)(36, 76)(37, 86)(38, 85)(39, 79)(40, 80)(41, 88)(42, 87)(43, 83)(44, 84)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-2 * A, (S * Z)^2, S * B * S * A, A^11 ]
Map::
	R = (1, 24, 46, 68, 2, 25, 47, 69, 3, 28, 50, 72, 6, 29, 51, 73, 7, 32, 54, 76, 10, 33, 55, 77, 11, 36, 58, 80, 14, 37, 59, 81, 15, 40, 62, 84, 18, 41, 63, 85, 19, 44, 66, 88, 22, 43, 65, 87, 21, 42, 64, 86, 20, 39, 61, 83, 17, 38, 60, 82, 16, 35, 57, 79, 13, 34, 56, 78, 12, 31, 53, 75, 9, 30, 52, 74, 8, 27, 49, 71, 5, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 50)(3, 51)(4, 46)(5, 45)(6, 54)(7, 55)(8, 48)(9, 49)(10, 58)(11, 59)(12, 52)(13, 53)(14, 62)(15, 63)(16, 56)(17, 57)(18, 66)(19, 65)(20, 60)(21, 61)(22, 64)(23, 71)(24, 70)(25, 67)(26, 74)(27, 75)(28, 68)(29, 69)(30, 78)(31, 79)(32, 72)(33, 73)(34, 82)(35, 83)(36, 76)(37, 77)(38, 86)(39, 87)(40, 80)(41, 81)(42, 88)(43, 85)(44, 84)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^2 * A, (S * Z)^2, S * A * S * B, B^11, A^11, (A^5 * Z^-1)^2 ]
Map::
	R = (1, 24, 46, 68, 2, 27, 49, 71, 5, 28, 50, 72, 6, 31, 53, 75, 9, 32, 54, 76, 10, 35, 57, 79, 13, 36, 58, 80, 14, 39, 61, 83, 17, 40, 62, 84, 18, 43, 65, 87, 21, 44, 66, 88, 22, 41, 63, 85, 19, 42, 64, 86, 20, 37, 59, 81, 15, 38, 60, 82, 16, 33, 55, 77, 11, 34, 56, 78, 12, 29, 51, 73, 7, 30, 52, 74, 8, 25, 47, 69, 3, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 48)(3, 51)(4, 52)(5, 45)(6, 46)(7, 55)(8, 56)(9, 49)(10, 50)(11, 59)(12, 60)(13, 53)(14, 54)(15, 63)(16, 64)(17, 57)(18, 58)(19, 65)(20, 66)(21, 61)(22, 62)(23, 71)(24, 72)(25, 67)(26, 68)(27, 75)(28, 76)(29, 69)(30, 70)(31, 79)(32, 80)(33, 73)(34, 74)(35, 83)(36, 84)(37, 77)(38, 78)(39, 87)(40, 88)(41, 81)(42, 82)(43, 85)(44, 86)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z^-1), (S * Z)^2, S * A * S * B, A * Z * A * Z * A, Z^-1 * A * Z^-1 * A * Z^-4, A^-1 * Z * A^-2 * Z * A^-2 * Z^2 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 36, 58, 80, 14, 42, 64, 86, 20, 39, 61, 83, 17, 31, 53, 75, 9, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 37, 59, 81, 15, 43, 65, 87, 21, 40, 62, 84, 18, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 35, 57, 79, 13, 38, 60, 82, 16, 44, 66, 88, 22, 41, 63, 85, 19, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 57)(7, 56)(8, 46)(9, 55)(10, 61)(11, 62)(12, 48)(13, 49)(14, 60)(15, 50)(16, 52)(17, 63)(18, 64)(19, 65)(20, 66)(21, 58)(22, 59)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 81)(29, 68)(30, 82)(31, 69)(32, 70)(33, 75)(34, 73)(35, 72)(36, 87)(37, 88)(38, 80)(39, 76)(40, 77)(41, 83)(42, 84)(43, 85)(44, 86)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z, B^-1), (S * Z)^2, (A, Z), S * A * S * B, A^-1 * Z * B^-1 * A^-1 * Z, Z^-2 * A^-1 * Z^-1 * A^-1 * Z^-3 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 36, 58, 80, 14, 42, 64, 86, 20, 41, 63, 85, 19, 35, 57, 79, 13, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 37, 59, 81, 15, 43, 65, 87, 21, 40, 62, 84, 18, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 31, 53, 75, 9, 38, 60, 82, 16, 44, 66, 88, 22, 39, 61, 83, 17, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 60)(8, 46)(9, 50)(10, 52)(11, 57)(12, 48)(13, 49)(14, 65)(15, 66)(16, 58)(17, 63)(18, 55)(19, 56)(20, 62)(21, 61)(22, 64)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 75)(29, 68)(30, 76)(31, 69)(32, 70)(33, 84)(34, 85)(35, 77)(36, 82)(37, 72)(38, 73)(39, 87)(40, 86)(41, 83)(42, 88)(43, 80)(44, 81)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, B * A^-1, Z * B * Z^-1 * A^-1, (A^-1, Z), S * A * S * B, (S * Z)^2, Z^2 * B^-1 * Z^2, A^2 * Z * A^3 * Z, Z^-2 * B^-5, A * Z^-1 * A^4 * Z^-1 * A ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 36, 58, 80, 14, 40, 62, 84, 18, 31, 53, 75, 9, 37, 59, 81, 15, 43, 65, 87, 21, 44, 66, 88, 22, 39, 61, 83, 17, 42, 64, 86, 20, 35, 57, 79, 13, 38, 60, 82, 16, 41, 63, 85, 19, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 58)(7, 59)(8, 46)(9, 61)(10, 62)(11, 50)(12, 48)(13, 49)(14, 65)(15, 64)(16, 52)(17, 63)(18, 66)(19, 55)(20, 56)(21, 57)(22, 60)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 77)(29, 68)(30, 82)(31, 69)(32, 70)(33, 85)(34, 86)(35, 87)(36, 72)(37, 73)(38, 88)(39, 75)(40, 76)(41, 83)(42, 81)(43, 80)(44, 84)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z^-1), (S * Z)^2, S * B * S * A, Z^2 * A * Z^2, A^-1 * B * A * Z^-1 * A^-1 * Z, A * Z^-1 * A^4 * Z^-1, Z * A^-1 * B^-1 * A^-1 * Z * B^-1 * A^-1 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 36, 58, 80, 14, 42, 64, 86, 20, 35, 57, 79, 13, 38, 60, 82, 16, 39, 61, 83, 17, 44, 66, 88, 22, 43, 65, 87, 21, 40, 62, 84, 18, 31, 53, 75, 9, 37, 59, 81, 15, 41, 63, 85, 19, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 55)(7, 59)(8, 46)(9, 61)(10, 62)(11, 63)(12, 48)(13, 49)(14, 50)(15, 66)(16, 52)(17, 58)(18, 60)(19, 65)(20, 56)(21, 57)(22, 64)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 80)(29, 68)(30, 82)(31, 69)(32, 70)(33, 72)(34, 86)(35, 87)(36, 83)(37, 73)(38, 84)(39, 75)(40, 76)(41, 77)(42, 88)(43, 85)(44, 81)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, (A^-1, Z^-1), (Z^-1, B^-1), S * B * S * A, (S * Z)^2, Z * A^-1 * Z^-1 * B, Z * B * Z^-1 * A^-1, Z^-1 * B^-4 * Z^-1, Z^2 * A^-1 * Z^2 * A^-2, B^-3 * Z^4, Z * B^-1 * Z * B^-1 * Z * B^-1 * Z ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 36, 58, 80, 14, 41, 63, 85, 19, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 38, 60, 82, 16, 42, 64, 86, 20, 31, 53, 75, 9, 39, 61, 83, 17, 35, 57, 79, 13, 40, 62, 84, 18, 43, 65, 87, 21, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 37, 59, 81, 15, 44, 66, 88, 22, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 63)(10, 64)(11, 65)(12, 48)(13, 49)(14, 66)(15, 57)(16, 50)(17, 56)(18, 52)(19, 55)(20, 58)(21, 60)(22, 62)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 82)(29, 68)(30, 84)(31, 69)(32, 70)(33, 85)(34, 83)(35, 81)(36, 86)(37, 72)(38, 87)(39, 73)(40, 88)(41, 75)(42, 76)(43, 77)(44, 80)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {22, 22})
Quotient :: toric
Aut^+ = C22 (small group id <22, 2>)
Aut   = D44 (small group id <44, 3>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (A^-1, Z), (S * Z)^2, S * B * S * A, A^-2 * B^-1 * A^-1 * Z^2, A^3 * Z^4, A^-11, A^11 ]
Map::
	R = (1, 24, 46, 68, 2, 28, 50, 72, 6, 36, 58, 80, 14, 41, 63, 85, 19, 32, 54, 76, 10, 25, 47, 69, 3, 29, 51, 73, 7, 37, 59, 81, 15, 44, 66, 88, 22, 35, 57, 79, 13, 40, 62, 84, 18, 31, 53, 75, 9, 39, 61, 83, 17, 43, 65, 87, 21, 34, 56, 78, 12, 27, 49, 71, 5, 30, 52, 74, 8, 38, 60, 82, 16, 42, 64, 86, 20, 33, 55, 77, 11, 26, 48, 70, 4, 23, 45, 67)
	L = (1, 47)(2, 51)(3, 53)(4, 54)(5, 45)(6, 59)(7, 61)(8, 46)(9, 60)(10, 62)(11, 63)(12, 48)(13, 49)(14, 66)(15, 65)(16, 50)(17, 64)(18, 52)(19, 57)(20, 58)(21, 55)(22, 56)(23, 71)(24, 74)(25, 67)(26, 78)(27, 79)(28, 82)(29, 68)(30, 84)(31, 69)(32, 70)(33, 87)(34, 88)(35, 85)(36, 86)(37, 72)(38, 75)(39, 73)(40, 76)(41, 77)(42, 83)(43, 81)(44, 80)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, A * B^-2, Z^-1 * B * Z * B, S * B * S * A, (S * Z)^2, Z^8 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 36, 60, 84, 12, 42, 66, 90, 18, 41, 65, 89, 17, 35, 59, 83, 11, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 37, 61, 85, 13, 44, 68, 92, 20, 47, 71, 95, 23, 45, 69, 93, 21, 39, 63, 87, 15, 33, 57, 81, 9, 27, 51, 75)(4, 31, 55, 79, 7, 38, 62, 86, 14, 43, 67, 91, 19, 48, 72, 96, 24, 46, 70, 94, 22, 40, 64, 88, 16, 34, 58, 82, 10, 28, 52, 76)
	L = (1, 51)(2, 55)(3, 52)(4, 49)(5, 58)(6, 61)(7, 56)(8, 50)(9, 53)(10, 57)(11, 63)(12, 67)(13, 62)(14, 54)(15, 64)(16, 59)(17, 70)(18, 71)(19, 68)(20, 60)(21, 65)(22, 69)(23, 72)(24, 66)(25, 75)(26, 79)(27, 76)(28, 73)(29, 82)(30, 85)(31, 80)(32, 74)(33, 77)(34, 81)(35, 87)(36, 91)(37, 86)(38, 78)(39, 88)(40, 83)(41, 94)(42, 95)(43, 92)(44, 84)(45, 89)(46, 93)(47, 96)(48, 90)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, B * A, Z * A^-1 * Z^-1 * B, (S * Z)^2, S * A * S * B, A * Z * A * Z^-1, A^-1 * Z^-1 * B^2 * A * Z, Z^2 * B^-1 * Z^-2 * A^-1, B^2 * A^-4, Z^2 * B * Z * B^-2 * Z, Z * A^-2 * Z^3 * B^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 43, 67, 91, 19, 48, 72, 96, 24, 37, 61, 85, 13, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 39, 63, 87, 15, 46, 70, 94, 22, 35, 59, 83, 11, 41, 65, 89, 17, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75)(4, 31, 55, 79, 7, 40, 64, 88, 16, 44, 68, 92, 20, 33, 57, 81, 9, 42, 66, 90, 18, 47, 71, 95, 23, 36, 60, 84, 12, 28, 52, 76)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 60)(6, 63)(7, 65)(8, 50)(9, 67)(10, 53)(11, 52)(12, 70)(13, 69)(14, 68)(15, 71)(16, 54)(17, 72)(18, 56)(19, 59)(20, 58)(21, 64)(22, 62)(23, 61)(24, 66)(25, 75)(26, 79)(27, 81)(28, 73)(29, 84)(30, 87)(31, 89)(32, 74)(33, 91)(34, 77)(35, 76)(36, 94)(37, 93)(38, 92)(39, 95)(40, 78)(41, 96)(42, 80)(43, 83)(44, 82)(45, 88)(46, 86)(47, 85)(48, 90)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B * A^-1, Z * B^-1 * A^-1 * Z, (S * Z)^2, S * B * S * A, A * Z * A^-1 * Z * A^-1 * Z^-1, Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-3, A^8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 46, 70, 94, 22, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 39, 63, 87, 15, 48, 72, 96, 24, 44, 68, 92, 20, 37, 61, 85, 13, 29, 53, 77, 5, 34, 58, 82, 10, 27, 51, 75)(7, 40, 64, 88, 16, 47, 71, 95, 23, 45, 69, 93, 21, 36, 60, 84, 12, 42, 66, 90, 18, 32, 56, 80, 8, 41, 65, 89, 17, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 54)(4, 56)(5, 49)(6, 63)(7, 62)(8, 50)(9, 64)(10, 65)(11, 53)(12, 52)(13, 66)(14, 71)(15, 70)(16, 72)(17, 57)(18, 58)(19, 60)(20, 59)(21, 61)(22, 68)(23, 67)(24, 69)(25, 77)(26, 80)(27, 73)(28, 84)(29, 83)(30, 75)(31, 74)(32, 76)(33, 89)(34, 90)(35, 92)(36, 91)(37, 93)(38, 79)(39, 78)(40, 81)(41, 82)(42, 85)(43, 95)(44, 94)(45, 96)(46, 87)(47, 86)(48, 88)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^-1 * A^-2 * Z^-1, S * B * S * A, A^-2 * Z^-2, (S * Z)^2, A * Z * B^-1 * Z^-1 * A * Z, Z^-3 * A^2 * Z^-3, A^8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 46, 70, 94, 22, 44, 68, 92, 20, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 29, 53, 77, 5, 37, 61, 85, 13, 39, 63, 87, 15, 48, 72, 96, 24, 43, 67, 91, 19, 35, 59, 83, 11, 27, 51, 75)(7, 40, 64, 88, 16, 32, 56, 80, 8, 42, 66, 90, 18, 47, 71, 95, 23, 45, 69, 93, 21, 36, 60, 84, 12, 41, 65, 89, 17, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 53)(7, 52)(8, 50)(9, 65)(10, 67)(11, 69)(12, 68)(13, 64)(14, 56)(15, 54)(16, 57)(17, 59)(18, 61)(19, 70)(20, 71)(21, 72)(22, 63)(23, 62)(24, 66)(25, 77)(26, 80)(27, 73)(28, 79)(29, 78)(30, 87)(31, 74)(32, 86)(33, 88)(34, 75)(35, 89)(36, 76)(37, 90)(38, 95)(39, 94)(40, 85)(41, 81)(42, 96)(43, 82)(44, 84)(45, 83)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-2 * Z^-2, S * A * S * B, Z^-1 * A^-2 * Z^-1, (S * Z)^2, A * Z^-1 * B * Z * A * Z^-1, A^8, Z^-2 * A^2 * Z^-4 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 46, 70, 94, 22, 45, 69, 93, 21, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 29, 53, 77, 5, 37, 61, 85, 13, 39, 63, 87, 15, 48, 72, 96, 24, 44, 68, 92, 20, 35, 59, 83, 11, 27, 51, 75)(7, 40, 64, 88, 16, 32, 56, 80, 8, 42, 66, 90, 18, 47, 71, 95, 23, 43, 67, 91, 19, 36, 60, 84, 12, 41, 65, 89, 17, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 58)(4, 60)(5, 49)(6, 53)(7, 52)(8, 50)(9, 66)(10, 68)(11, 64)(12, 69)(13, 67)(14, 56)(15, 54)(16, 72)(17, 61)(18, 59)(19, 57)(20, 70)(21, 71)(22, 63)(23, 62)(24, 65)(25, 77)(26, 80)(27, 73)(28, 79)(29, 78)(30, 87)(31, 74)(32, 86)(33, 91)(34, 75)(35, 90)(36, 76)(37, 89)(38, 95)(39, 94)(40, 83)(41, 96)(42, 81)(43, 85)(44, 82)(45, 84)(46, 92)(47, 93)(48, 88)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, B * A^-1, A^-1 * Z^2 * B^-1, S * B * S * A, (S * Z)^2, A^-1 * Z * B^-1 * Z^-1 * A^-1 * Z^-1, A^-2 * Z^-6 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 46, 70, 94, 22, 44, 68, 92, 20, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 33, 57, 81, 9, 39, 63, 87, 15, 48, 72, 96, 24, 45, 69, 93, 21, 37, 61, 85, 13, 29, 53, 77, 5, 34, 58, 82, 10, 27, 51, 75)(7, 40, 64, 88, 16, 47, 71, 95, 23, 43, 67, 91, 19, 36, 60, 84, 12, 42, 66, 90, 18, 32, 56, 80, 8, 41, 65, 89, 17, 31, 55, 79)
	L = (1, 51)(2, 55)(3, 54)(4, 56)(5, 49)(6, 63)(7, 62)(8, 50)(9, 66)(10, 67)(11, 53)(12, 52)(13, 64)(14, 71)(15, 70)(16, 58)(17, 61)(18, 72)(19, 57)(20, 60)(21, 59)(22, 69)(23, 68)(24, 65)(25, 77)(26, 80)(27, 73)(28, 84)(29, 83)(30, 75)(31, 74)(32, 76)(33, 91)(34, 88)(35, 93)(36, 92)(37, 89)(38, 79)(39, 78)(40, 85)(41, 96)(42, 81)(43, 82)(44, 95)(45, 94)(46, 87)(47, 86)(48, 90)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, (B * A)^2, Z * A^-1 * Z^-1 * B, B^-2 * A^-2, S * A * S * B, Z * B^-1 * Z^-1 * A, (S * Z)^2, A * Z * B * Z * B^-1, A * Z * A^-1 * B * Z, Z * A^-3 * Z, Z * B^-3 * Z, Z^8 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 47, 71, 95, 23, 38, 62, 86, 14, 48, 72, 96, 24, 44, 68, 92, 20, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 43, 67, 91, 19, 45, 69, 93, 21, 31, 55, 79, 7, 35, 59, 83, 11, 41, 65, 89, 17, 39, 63, 87, 15, 27, 51, 75)(4, 33, 57, 81, 9, 40, 64, 88, 16, 46, 70, 94, 22, 30, 54, 78, 6, 36, 60, 84, 12, 37, 61, 85, 13, 42, 66, 90, 18, 28, 52, 76)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 66)(6, 49)(7, 64)(8, 67)(9, 63)(10, 72)(11, 50)(12, 69)(13, 56)(14, 55)(15, 71)(16, 68)(17, 54)(18, 59)(19, 52)(20, 65)(21, 53)(22, 58)(23, 70)(24, 60)(25, 79)(26, 84)(27, 88)(28, 73)(29, 94)(30, 86)(31, 85)(32, 89)(33, 93)(34, 74)(35, 96)(36, 87)(37, 92)(38, 75)(39, 77)(40, 80)(41, 76)(42, 82)(43, 78)(44, 91)(45, 95)(46, 83)(47, 90)(48, 81)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ S^2, (B * A)^2, (B^-1, A^-1), Z * B^-1 * Z^-1 * A, (S * Z)^2, S * A * S * B, B * Z * A^-1 * Z^-1, B * A^2 * B, Z * B^-1 * Z * B * A^-1, A * Z^2 * B^-2, B * Z * A^2 * Z ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 47, 71, 95, 23, 38, 62, 86, 14, 48, 72, 96, 24, 44, 68, 92, 20, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 41, 65, 89, 17, 45, 69, 93, 21, 31, 55, 79, 7, 35, 59, 83, 11, 43, 67, 91, 19, 39, 63, 87, 15, 27, 51, 75)(4, 33, 57, 81, 9, 37, 61, 85, 13, 46, 70, 94, 22, 30, 54, 78, 6, 36, 60, 84, 12, 40, 64, 88, 16, 42, 66, 90, 18, 28, 52, 76)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 66)(6, 49)(7, 64)(8, 65)(9, 69)(10, 72)(11, 50)(12, 63)(13, 68)(14, 55)(15, 71)(16, 56)(17, 54)(18, 58)(19, 52)(20, 67)(21, 53)(22, 59)(23, 70)(24, 60)(25, 79)(26, 84)(27, 88)(28, 73)(29, 94)(30, 86)(31, 85)(32, 91)(33, 87)(34, 74)(35, 96)(36, 93)(37, 80)(38, 75)(39, 77)(40, 92)(41, 76)(42, 83)(43, 78)(44, 89)(45, 95)(46, 82)(47, 90)(48, 81)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A * B * A, (S * Z)^2, (A^-1, Z), S * A * S * B, Z^8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 36, 60, 84, 12, 42, 66, 90, 18, 40, 64, 88, 16, 34, 58, 82, 10, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 43, 67, 91, 19, 47, 71, 95, 23, 45, 69, 93, 21, 39, 63, 87, 15, 33, 57, 81, 9, 27, 51, 75)(5, 32, 56, 80, 8, 38, 62, 86, 14, 44, 68, 92, 20, 48, 72, 96, 24, 46, 70, 94, 22, 41, 65, 89, 17, 35, 59, 83, 11, 29, 53, 77)
	L = (1, 51)(2, 55)(3, 53)(4, 57)(5, 49)(6, 61)(7, 56)(8, 50)(9, 59)(10, 63)(11, 52)(12, 67)(13, 62)(14, 54)(15, 65)(16, 69)(17, 58)(18, 71)(19, 68)(20, 60)(21, 70)(22, 64)(23, 72)(24, 66)(25, 77)(26, 80)(27, 73)(28, 83)(29, 75)(30, 86)(31, 74)(32, 79)(33, 76)(34, 89)(35, 81)(36, 92)(37, 78)(38, 85)(39, 82)(40, 94)(41, 87)(42, 96)(43, 84)(44, 91)(45, 88)(46, 93)(47, 90)(48, 95)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (A^-1, Z^-1), Z^-1 * B * Z * A^-1, Z^-1 * A * Z * B^-1, S * B * S * A, (S * Z)^2, A^6, (A^-2 * B^-1)^2, Z^2 * B^-1 * Z * B^-2 * Z, Z^2 * A^2 * Z * B * Z ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 43, 67, 91, 19, 46, 70, 94, 22, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 48, 72, 96, 24, 37, 61, 85, 13, 42, 66, 90, 18, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75)(5, 32, 56, 80, 8, 40, 64, 88, 16, 44, 68, 92, 20, 33, 57, 81, 9, 41, 65, 89, 17, 47, 71, 95, 23, 36, 60, 84, 12, 29, 53, 77)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 65)(8, 50)(9, 67)(10, 68)(11, 69)(12, 52)(13, 53)(14, 72)(15, 71)(16, 54)(17, 70)(18, 56)(19, 61)(20, 62)(21, 64)(22, 66)(23, 59)(24, 60)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 88)(31, 74)(32, 90)(33, 75)(34, 76)(35, 95)(36, 96)(37, 91)(38, 92)(39, 78)(40, 93)(41, 79)(42, 94)(43, 81)(44, 82)(45, 83)(46, 89)(47, 87)(48, 86)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, S * B * S * A, (S * Z)^2, (Z^-1, A^-1), Z^2 * A^3, Z^8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 44, 68, 92, 20, 43, 67, 91, 19, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 40, 64, 88, 16, 46, 70, 94, 22, 48, 72, 96, 24, 42, 66, 90, 18, 34, 58, 82, 10, 27, 51, 75)(5, 32, 56, 80, 8, 39, 63, 87, 15, 45, 69, 93, 21, 47, 71, 95, 23, 41, 65, 89, 17, 33, 57, 81, 9, 36, 60, 84, 12, 29, 53, 77)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 61)(7, 60)(8, 50)(9, 59)(10, 65)(11, 66)(12, 52)(13, 53)(14, 64)(15, 54)(16, 56)(17, 67)(18, 71)(19, 72)(20, 70)(21, 62)(22, 63)(23, 68)(24, 69)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 87)(31, 74)(32, 88)(33, 75)(34, 76)(35, 81)(36, 79)(37, 78)(38, 93)(39, 94)(40, 86)(41, 82)(42, 83)(43, 89)(44, 95)(45, 96)(46, 92)(47, 90)(48, 91)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, (S * Z)^2, S * A * S * B, Z * B * Z^-1 * A^-1, Z^-1 * B * Z * A^-1, A^2 * Z^-1 * B * Z^-1, Z^8 ]
Map::
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 44, 68, 92, 20, 41, 65, 89, 17, 35, 59, 83, 11, 28, 52, 76, 4, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 45, 69, 93, 21, 48, 72, 96, 24, 43, 67, 91, 19, 37, 61, 85, 13, 34, 58, 82, 10, 27, 51, 75)(5, 32, 56, 80, 8, 33, 57, 81, 9, 40, 64, 88, 16, 46, 70, 94, 22, 47, 71, 95, 23, 42, 66, 90, 18, 36, 60, 84, 12, 29, 53, 77)
	L = (1, 51)(2, 55)(3, 57)(4, 58)(5, 49)(6, 63)(7, 64)(8, 50)(9, 54)(10, 56)(11, 61)(12, 52)(13, 53)(14, 69)(15, 70)(16, 62)(17, 67)(18, 59)(19, 60)(20, 72)(21, 71)(22, 68)(23, 65)(24, 66)(25, 77)(26, 80)(27, 73)(28, 84)(29, 85)(30, 81)(31, 74)(32, 82)(33, 75)(34, 76)(35, 90)(36, 91)(37, 83)(38, 88)(39, 78)(40, 79)(41, 95)(42, 96)(43, 89)(44, 94)(45, 86)(46, 87)(47, 93)(48, 92)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C3 x D16 (small group id <48, 25>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, A * B^-2, Z^-1 * B^-1 * Z * A^-1, (S * Z)^2, S * A * S * B, Z^-1 * A * Z * B, Z^8 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 36, 60, 84, 12, 42, 66, 90, 18, 41, 65, 89, 17, 35, 59, 83, 11, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 37, 61, 85, 13, 43, 67, 91, 19, 47, 71, 95, 23, 45, 69, 93, 21, 39, 63, 87, 15, 33, 57, 81, 9, 27, 51, 75)(4, 32, 56, 80, 8, 38, 62, 86, 14, 44, 68, 92, 20, 48, 72, 96, 24, 46, 70, 94, 22, 40, 64, 88, 16, 34, 58, 82, 10, 28, 52, 76)
	L = (1, 51)(2, 55)(3, 52)(4, 49)(5, 57)(6, 61)(7, 56)(8, 50)(9, 58)(10, 53)(11, 63)(12, 67)(13, 62)(14, 54)(15, 64)(16, 59)(17, 69)(18, 71)(19, 68)(20, 60)(21, 70)(22, 65)(23, 72)(24, 66)(25, 75)(26, 79)(27, 76)(28, 73)(29, 81)(30, 85)(31, 80)(32, 74)(33, 82)(34, 77)(35, 87)(36, 91)(37, 86)(38, 78)(39, 88)(40, 83)(41, 93)(42, 95)(43, 92)(44, 84)(45, 94)(46, 89)(47, 96)(48, 90)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C3 x D16 (small group id <48, 25>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, (Z^-1, A), (Z^-1, B), B^-2 * A^-2, (S * Z)^2, S * A * S * B, Z * A^-1 * Z^-1 * B^-1, Z^2 * B^-1 * Z^-2 * A^-1, B^2 * A^-4, Z^2 * B * A^-1 * Z * B * Z, Z^4 * B^-2 * A, Z^2 * B^-1 * Z * B^-1 * Z * A ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 43, 67, 91, 19, 48, 72, 96, 24, 37, 61, 85, 13, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 39, 63, 87, 15, 46, 70, 94, 22, 35, 59, 83, 11, 42, 66, 90, 18, 45, 69, 93, 21, 34, 58, 82, 10, 27, 51, 75)(4, 32, 56, 80, 8, 40, 64, 88, 16, 44, 68, 92, 20, 33, 57, 81, 9, 41, 65, 89, 17, 47, 71, 95, 23, 36, 60, 84, 12, 28, 52, 76)
	L = (1, 51)(2, 55)(3, 57)(4, 49)(5, 58)(6, 63)(7, 65)(8, 50)(9, 67)(10, 68)(11, 52)(12, 53)(13, 69)(14, 70)(15, 71)(16, 54)(17, 72)(18, 56)(19, 59)(20, 62)(21, 64)(22, 60)(23, 61)(24, 66)(25, 75)(26, 79)(27, 81)(28, 73)(29, 82)(30, 87)(31, 89)(32, 74)(33, 91)(34, 92)(35, 76)(36, 77)(37, 93)(38, 94)(39, 95)(40, 78)(41, 96)(42, 80)(43, 83)(44, 86)(45, 88)(46, 84)(47, 85)(48, 90)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C3 x D16 (small group id <48, 25>)
|r| :: 2
Presentation :: [ S^2, (B * A)^2, (Z^-1, A), (Z^-1, B), S * A * S * B, B^-2 * A^-2, (S * Z)^2, Z^2 * B^-3, Z^2 * A^-3, B * Z^2 * B * A^-1, A * Z * B^-1 * A * Z, Z^8 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 47, 71, 95, 23, 38, 62, 86, 14, 48, 72, 96, 24, 44, 68, 92, 20, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 43, 67, 91, 19, 46, 70, 94, 22, 31, 55, 79, 7, 36, 60, 84, 12, 41, 65, 89, 17, 39, 63, 87, 15, 27, 51, 75)(4, 34, 58, 82, 10, 40, 64, 88, 16, 45, 69, 93, 21, 30, 54, 78, 6, 35, 59, 83, 11, 37, 61, 85, 13, 42, 66, 90, 18, 28, 52, 76)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 67)(9, 66)(10, 72)(11, 50)(12, 69)(13, 56)(14, 55)(15, 59)(16, 68)(17, 54)(18, 71)(19, 52)(20, 65)(21, 53)(22, 58)(23, 70)(24, 60)(25, 79)(26, 84)(27, 88)(28, 73)(29, 94)(30, 86)(31, 85)(32, 89)(33, 93)(34, 74)(35, 96)(36, 90)(37, 92)(38, 75)(39, 82)(40, 80)(41, 76)(42, 77)(43, 78)(44, 91)(45, 95)(46, 83)(47, 87)(48, 81)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {8, 8})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C3 x D16 (small group id <48, 25>)
|r| :: 2
Presentation :: [ S^2, (B^-1 * A^-1)^2, (B^-1, Z^-1), B^-2 * A^-2, S * A * S * B, (A^-1, Z^-1), (S * Z)^2, A^3 * Z^2, B^3 * Z^2, A * Z * B^-1 * Z * B^-1, Z^8 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 47, 71, 95, 23, 38, 62, 86, 14, 48, 72, 96, 24, 44, 68, 92, 20, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 41, 65, 89, 17, 46, 70, 94, 22, 31, 55, 79, 7, 36, 60, 84, 12, 43, 67, 91, 19, 39, 63, 87, 15, 27, 51, 75)(4, 34, 58, 82, 10, 37, 61, 85, 13, 45, 69, 93, 21, 30, 54, 78, 6, 35, 59, 83, 11, 40, 64, 88, 16, 42, 66, 90, 18, 28, 52, 76)
	L = (1, 51)(2, 57)(3, 61)(4, 62)(5, 63)(6, 49)(7, 64)(8, 65)(9, 69)(10, 72)(11, 50)(12, 66)(13, 68)(14, 55)(15, 58)(16, 56)(17, 54)(18, 71)(19, 52)(20, 67)(21, 53)(22, 59)(23, 70)(24, 60)(25, 79)(26, 84)(27, 88)(28, 73)(29, 94)(30, 86)(31, 85)(32, 91)(33, 90)(34, 74)(35, 96)(36, 93)(37, 80)(38, 75)(39, 83)(40, 92)(41, 76)(42, 77)(43, 78)(44, 89)(45, 95)(46, 82)(47, 87)(48, 81)
	local type(s) :: { ( 32^32 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-1 * Z^-2 * B^-1, Z * B * A * Z, (S * Z)^2, Z^4, S * B * S * A, B^-1 * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1 * B * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 32, 60, 88, 4, 29, 57, 85)(3, 37, 65, 93, 9, 33, 61, 89, 5, 38, 66, 94, 10, 31, 59, 87)(7, 39, 67, 95, 11, 36, 64, 92, 8, 40, 68, 96, 12, 35, 63, 91)(13, 45, 73, 101, 17, 42, 70, 98, 14, 46, 74, 102, 18, 41, 69, 97)(15, 47, 75, 103, 19, 44, 72, 100, 16, 48, 76, 104, 20, 43, 71, 99)(21, 53, 81, 109, 25, 50, 78, 106, 22, 54, 82, 110, 26, 49, 77, 105)(23, 55, 83, 111, 27, 52, 80, 108, 24, 56, 84, 112, 28, 51, 79, 107)
	L = (1, 59)(2, 63)(3, 62)(4, 64)(5, 57)(6, 61)(7, 60)(8, 58)(9, 69)(10, 70)(11, 71)(12, 72)(13, 66)(14, 65)(15, 68)(16, 67)(17, 77)(18, 78)(19, 79)(20, 80)(21, 74)(22, 73)(23, 76)(24, 75)(25, 83)(26, 84)(27, 82)(28, 81)(29, 89)(30, 92)(31, 85)(32, 91)(33, 90)(34, 87)(35, 86)(36, 88)(37, 98)(38, 97)(39, 100)(40, 99)(41, 93)(42, 94)(43, 95)(44, 96)(45, 106)(46, 105)(47, 108)(48, 107)(49, 101)(50, 102)(51, 103)(52, 104)(53, 112)(54, 111)(55, 109)(56, 110)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-1 * Z^2 * B^-1, Z * B * A * Z, (S * Z)^2, Z^4, S * B * S * A, B^-1 * Z^-1 * B^-1 * Z^-1 * B^-1 * Z^-1 * B * Z * A^-1 * Z^-1 * A^-1 * Z^-1 * A^-1 * Z^-1 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 32, 60, 88, 4, 29, 57, 85)(3, 37, 65, 93, 9, 33, 61, 89, 5, 38, 66, 94, 10, 31, 59, 87)(7, 39, 67, 95, 11, 36, 64, 92, 8, 40, 68, 96, 12, 35, 63, 91)(13, 45, 73, 101, 17, 42, 70, 98, 14, 46, 74, 102, 18, 41, 69, 97)(15, 47, 75, 103, 19, 44, 72, 100, 16, 48, 76, 104, 20, 43, 71, 99)(21, 53, 81, 109, 25, 50, 78, 106, 22, 54, 82, 110, 26, 49, 77, 105)(23, 55, 83, 111, 27, 52, 80, 108, 24, 56, 84, 112, 28, 51, 79, 107)
	L = (1, 59)(2, 63)(3, 62)(4, 64)(5, 57)(6, 61)(7, 60)(8, 58)(9, 69)(10, 70)(11, 71)(12, 72)(13, 66)(14, 65)(15, 68)(16, 67)(17, 77)(18, 78)(19, 79)(20, 80)(21, 74)(22, 73)(23, 76)(24, 75)(25, 84)(26, 83)(27, 81)(28, 82)(29, 89)(30, 92)(31, 85)(32, 91)(33, 90)(34, 87)(35, 86)(36, 88)(37, 98)(38, 97)(39, 100)(40, 99)(41, 93)(42, 94)(43, 95)(44, 96)(45, 106)(46, 105)(47, 108)(48, 107)(49, 101)(50, 102)(51, 103)(52, 104)(53, 111)(54, 112)(55, 110)(56, 109)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, (S * Z)^2, Z^4, S * A * S * B, Z^-1 * B * Z * A^-1, Z^-1 * A * Z * B^-1, A^4 * B^-3 ]
Map:: non-degenerate
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 33, 61, 89, 5, 29, 57, 85)(3, 36, 64, 92, 8, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87)(4, 35, 63, 91, 7, 42, 70, 98, 14, 40, 68, 96, 12, 32, 60, 88)(9, 44, 72, 100, 16, 49, 77, 105, 21, 46, 74, 102, 18, 37, 65, 93)(11, 43, 71, 99, 15, 50, 78, 106, 22, 48, 76, 104, 20, 39, 67, 95)(17, 52, 80, 108, 24, 55, 83, 111, 27, 53, 81, 109, 25, 45, 73, 101)(19, 51, 79, 107, 23, 56, 84, 112, 28, 54, 82, 110, 26, 47, 75, 103)
	L = (1, 59)(2, 63)(3, 65)(4, 57)(5, 68)(6, 69)(7, 71)(8, 58)(9, 73)(10, 61)(11, 60)(12, 76)(13, 77)(14, 62)(15, 79)(16, 64)(17, 75)(18, 66)(19, 67)(20, 82)(21, 83)(22, 70)(23, 80)(24, 72)(25, 74)(26, 81)(27, 84)(28, 78)(29, 87)(30, 91)(31, 93)(32, 85)(33, 96)(34, 97)(35, 99)(36, 86)(37, 101)(38, 89)(39, 88)(40, 104)(41, 105)(42, 90)(43, 107)(44, 92)(45, 103)(46, 94)(47, 95)(48, 110)(49, 111)(50, 98)(51, 108)(52, 100)(53, 102)(54, 109)(55, 112)(56, 106)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C7 : C4 (small group id <28, 1>)
Aut   = (C14 x C2) : C2 (small group id <56, 7>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, B^-1 * A^-1, B * Z^-1 * B * Z, Z * A^-1 * Z^-1 * A^-1, Z^4, (S * Z)^2, S * A * S * B, Z^-1 * A^3 * Z * B^-3, B^-1 * Z * A^-2 * B * Z * B^-3, A^-1 * Z * A^3 * Z * A^-3 ]
Map:: non-degenerate
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 33, 61, 89, 5, 29, 57, 85)(3, 36, 64, 92, 8, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87)(4, 35, 63, 91, 7, 42, 70, 98, 14, 40, 68, 96, 12, 32, 60, 88)(9, 44, 72, 100, 16, 49, 77, 105, 21, 46, 74, 102, 18, 37, 65, 93)(11, 43, 71, 99, 15, 50, 78, 106, 22, 48, 76, 104, 20, 39, 67, 95)(17, 52, 80, 108, 24, 55, 83, 111, 27, 54, 82, 110, 26, 45, 73, 101)(19, 51, 79, 107, 23, 53, 81, 109, 25, 56, 84, 112, 28, 47, 75, 103)
	L = (1, 59)(2, 63)(3, 65)(4, 57)(5, 68)(6, 69)(7, 71)(8, 58)(9, 73)(10, 61)(11, 60)(12, 76)(13, 77)(14, 62)(15, 79)(16, 64)(17, 81)(18, 66)(19, 67)(20, 84)(21, 83)(22, 70)(23, 82)(24, 72)(25, 78)(26, 74)(27, 75)(28, 80)(29, 87)(30, 91)(31, 93)(32, 85)(33, 96)(34, 97)(35, 99)(36, 86)(37, 101)(38, 89)(39, 88)(40, 104)(41, 105)(42, 90)(43, 107)(44, 92)(45, 109)(46, 94)(47, 95)(48, 112)(49, 111)(50, 98)(51, 110)(52, 100)(53, 106)(54, 102)(55, 103)(56, 108)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^4, S * A * S * B, (A^-1, Z^-1), (S * Z)^2, A^7, A^2 * Z^-1 * A * B * A^3 * Z ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 32, 60, 88, 4, 29, 57, 85)(3, 35, 63, 91, 7, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87)(5, 36, 64, 92, 8, 42, 70, 98, 14, 39, 67, 95, 11, 33, 61, 89)(9, 43, 71, 99, 15, 49, 77, 105, 21, 46, 74, 102, 18, 37, 65, 93)(12, 44, 72, 100, 16, 50, 78, 106, 22, 47, 75, 103, 19, 40, 68, 96)(17, 51, 79, 107, 23, 55, 83, 111, 27, 53, 81, 109, 25, 45, 73, 101)(20, 52, 80, 108, 24, 56, 84, 112, 28, 54, 82, 110, 26, 48, 76, 104)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 69)(7, 71)(8, 58)(9, 73)(10, 74)(11, 60)(12, 61)(13, 77)(14, 62)(15, 79)(16, 64)(17, 76)(18, 81)(19, 67)(20, 68)(21, 83)(22, 70)(23, 80)(24, 72)(25, 82)(26, 75)(27, 84)(28, 78)(29, 89)(30, 92)(31, 85)(32, 95)(33, 96)(34, 98)(35, 86)(36, 100)(37, 87)(38, 88)(39, 103)(40, 104)(41, 90)(42, 106)(43, 91)(44, 108)(45, 93)(46, 94)(47, 110)(48, 101)(49, 97)(50, 112)(51, 99)(52, 107)(53, 102)(54, 109)(55, 105)(56, 111)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, B * A^-1, Z * B * Z^-1 * A^-1, Z^4, (S * Z)^2, S * A * S * B, A^7 * Z^2 ]
Map::
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 32, 60, 88, 4, 29, 57, 85)(3, 35, 63, 91, 7, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87)(5, 36, 64, 92, 8, 42, 70, 98, 14, 39, 67, 95, 11, 33, 61, 89)(9, 43, 71, 99, 15, 49, 77, 105, 21, 46, 74, 102, 18, 37, 65, 93)(12, 44, 72, 100, 16, 50, 78, 106, 22, 47, 75, 103, 19, 40, 68, 96)(17, 51, 79, 107, 23, 56, 84, 112, 28, 54, 82, 110, 26, 45, 73, 101)(20, 52, 80, 108, 24, 53, 81, 109, 25, 55, 83, 111, 27, 48, 76, 104)
	L = (1, 59)(2, 63)(3, 65)(4, 66)(5, 57)(6, 69)(7, 71)(8, 58)(9, 73)(10, 74)(11, 60)(12, 61)(13, 77)(14, 62)(15, 79)(16, 64)(17, 81)(18, 82)(19, 67)(20, 68)(21, 84)(22, 70)(23, 83)(24, 72)(25, 78)(26, 80)(27, 75)(28, 76)(29, 89)(30, 92)(31, 85)(32, 95)(33, 96)(34, 98)(35, 86)(36, 100)(37, 87)(38, 88)(39, 103)(40, 104)(41, 90)(42, 106)(43, 91)(44, 108)(45, 93)(46, 94)(47, 111)(48, 112)(49, 97)(50, 109)(51, 99)(52, 110)(53, 101)(54, 102)(55, 107)(56, 105)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = C7 x D8 (small group id <56, 9>)
|r| :: 2
Presentation :: [ S^2, A * B, (S * Z)^2, S * B * S * A, Z^4, (Z, A^-1), (Z, B^-1), A^3 * B^-4 ]
Map:: non-degenerate
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 33, 61, 89, 5, 29, 57, 85)(3, 35, 63, 91, 7, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87)(4, 36, 64, 92, 8, 42, 70, 98, 14, 40, 68, 96, 12, 32, 60, 88)(9, 43, 71, 99, 15, 49, 77, 105, 21, 46, 74, 102, 18, 37, 65, 93)(11, 44, 72, 100, 16, 50, 78, 106, 22, 48, 76, 104, 20, 39, 67, 95)(17, 51, 79, 107, 23, 55, 83, 111, 27, 53, 81, 109, 25, 45, 73, 101)(19, 52, 80, 108, 24, 56, 84, 112, 28, 54, 82, 110, 26, 47, 75, 103)
	L = (1, 59)(2, 63)(3, 65)(4, 57)(5, 66)(6, 69)(7, 71)(8, 58)(9, 73)(10, 74)(11, 60)(12, 61)(13, 77)(14, 62)(15, 79)(16, 64)(17, 75)(18, 81)(19, 67)(20, 68)(21, 83)(22, 70)(23, 80)(24, 72)(25, 82)(26, 76)(27, 84)(28, 78)(29, 87)(30, 91)(31, 93)(32, 85)(33, 94)(34, 97)(35, 99)(36, 86)(37, 101)(38, 102)(39, 88)(40, 89)(41, 105)(42, 90)(43, 107)(44, 92)(45, 103)(46, 109)(47, 95)(48, 96)(49, 111)(50, 98)(51, 108)(52, 100)(53, 110)(54, 104)(55, 112)(56, 106)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {4, 4})
Quotient :: toric
Aut^+ = C28 (small group id <28, 2>)
Aut   = C7 x D8 (small group id <56, 9>)
|r| :: 2
Presentation :: [ S^2, A * B, (S * Z)^2, (B, Z^-1), S * B * S * A, Z^4, (Z, A^-1), Z^-2 * B^3 * A^-4, A * Z * A^2 * Z * B^-4 ]
Map:: non-degenerate
	R = (1, 30, 58, 86, 2, 34, 62, 90, 6, 33, 61, 89, 5, 29, 57, 85)(3, 35, 63, 91, 7, 41, 69, 97, 13, 38, 66, 94, 10, 31, 59, 87)(4, 36, 64, 92, 8, 42, 70, 98, 14, 40, 68, 96, 12, 32, 60, 88)(9, 43, 71, 99, 15, 49, 77, 105, 21, 46, 74, 102, 18, 37, 65, 93)(11, 44, 72, 100, 16, 50, 78, 106, 22, 48, 76, 104, 20, 39, 67, 95)(17, 51, 79, 107, 23, 55, 83, 111, 27, 54, 82, 110, 26, 45, 73, 101)(19, 52, 80, 108, 24, 53, 81, 109, 25, 56, 84, 112, 28, 47, 75, 103)
	L = (1, 59)(2, 63)(3, 65)(4, 57)(5, 66)(6, 69)(7, 71)(8, 58)(9, 73)(10, 74)(11, 60)(12, 61)(13, 77)(14, 62)(15, 79)(16, 64)(17, 81)(18, 82)(19, 67)(20, 68)(21, 83)(22, 70)(23, 84)(24, 72)(25, 78)(26, 80)(27, 75)(28, 76)(29, 87)(30, 91)(31, 93)(32, 85)(33, 94)(34, 97)(35, 99)(36, 86)(37, 101)(38, 102)(39, 88)(40, 89)(41, 105)(42, 90)(43, 107)(44, 92)(45, 109)(46, 110)(47, 95)(48, 96)(49, 111)(50, 98)(51, 112)(52, 100)(53, 106)(54, 108)(55, 103)(56, 104)
	local type(s) :: { ( 16^16 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 7 e = 56 f = 7
	degree seq :: [ 16^7 ]

E22.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, A * B^-2, S * A * S * B, (S * Z)^2, B * Z * A * Z * B * Z * B^-1 * Z * B^-1 * Z * A^-1 * Z, A * Z * B * Z * A * Z * B^-1 * Z * A^-1 * Z * A^-1 * Z, A * Z * A * Z * A * Z * B^-1 * Z * B^-1 * Z * B^-1 * Z, B * Z * B * Z * A * Z * A^-1 * Z * B^-1 * Z * B^-1 * Z, B * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 50, 92, 134, 8, 46, 88, 130)(5, 51, 93, 135, 9, 47, 89, 131)(6, 52, 94, 136, 10, 48, 90, 132)(11, 61, 103, 145, 19, 53, 95, 137)(12, 62, 104, 146, 20, 54, 96, 138)(13, 63, 105, 147, 21, 55, 97, 139)(14, 64, 106, 148, 22, 56, 98, 140)(15, 65, 107, 149, 23, 57, 99, 141)(16, 66, 108, 150, 24, 58, 100, 142)(17, 67, 109, 151, 25, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(27, 84, 126, 168, 42, 69, 111, 153)(28, 79, 121, 163, 37, 70, 112, 154)(29, 78, 120, 162, 36, 71, 113, 155)(30, 82, 124, 166, 40, 72, 114, 156)(31, 81, 123, 165, 39, 73, 115, 157)(32, 80, 122, 164, 38, 74, 116, 158)(33, 83, 125, 167, 41, 75, 117, 159)(34, 77, 119, 161, 35, 76, 118, 160)
	L = (1, 87)(2, 89)(3, 88)(4, 85)(5, 90)(6, 86)(7, 95)(8, 97)(9, 99)(10, 101)(11, 96)(12, 91)(13, 98)(14, 92)(15, 100)(16, 93)(17, 102)(18, 94)(19, 111)(20, 113)(21, 115)(22, 117)(23, 119)(24, 121)(25, 123)(26, 125)(27, 112)(28, 103)(29, 114)(30, 104)(31, 116)(32, 105)(33, 118)(34, 106)(35, 120)(36, 107)(37, 122)(38, 108)(39, 124)(40, 109)(41, 126)(42, 110)(43, 129)(44, 131)(45, 130)(46, 127)(47, 132)(48, 128)(49, 137)(50, 139)(51, 141)(52, 143)(53, 138)(54, 133)(55, 140)(56, 134)(57, 142)(58, 135)(59, 144)(60, 136)(61, 153)(62, 155)(63, 157)(64, 159)(65, 161)(66, 163)(67, 165)(68, 167)(69, 154)(70, 145)(71, 156)(72, 146)(73, 158)(74, 147)(75, 160)(76, 148)(77, 162)(78, 149)(79, 164)(80, 150)(81, 166)(82, 151)(83, 168)(84, 152)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.37
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, A * B^-2, S * A * S * B, (S * Z)^2, B * Z * A * Z * B * Z * A^-1 * Z * B^-1 * Z * B^-1 * Z, A * Z * B * Z * A * Z * A^-1 * Z * A^-1 * Z * B^-1 * Z, A * Z * A * Z * A * Z * B^-1 * Z * B^-1 * Z * B^-1 * Z, A * Z * B * Z * B * Z * B^-1 * Z * B^-1 * Z * A^-1 * Z, A * Z * A * Z * B * Z * B^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 50, 92, 134, 8, 46, 88, 130)(5, 51, 93, 135, 9, 47, 89, 131)(6, 52, 94, 136, 10, 48, 90, 132)(11, 61, 103, 145, 19, 53, 95, 137)(12, 62, 104, 146, 20, 54, 96, 138)(13, 63, 105, 147, 21, 55, 97, 139)(14, 64, 106, 148, 22, 56, 98, 140)(15, 65, 107, 149, 23, 57, 99, 141)(16, 66, 108, 150, 24, 58, 100, 142)(17, 67, 109, 151, 25, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(27, 84, 126, 168, 42, 69, 111, 153)(28, 78, 120, 162, 36, 70, 112, 154)(29, 81, 123, 165, 39, 71, 113, 155)(30, 80, 122, 164, 38, 72, 114, 156)(31, 79, 121, 163, 37, 73, 115, 157)(32, 83, 125, 167, 41, 74, 116, 158)(33, 82, 124, 166, 40, 75, 117, 159)(34, 77, 119, 161, 35, 76, 118, 160)
	L = (1, 87)(2, 89)(3, 88)(4, 85)(5, 90)(6, 86)(7, 95)(8, 97)(9, 99)(10, 101)(11, 96)(12, 91)(13, 98)(14, 92)(15, 100)(16, 93)(17, 102)(18, 94)(19, 111)(20, 113)(21, 115)(22, 117)(23, 119)(24, 121)(25, 123)(26, 125)(27, 112)(28, 103)(29, 114)(30, 104)(31, 116)(32, 105)(33, 118)(34, 106)(35, 120)(36, 107)(37, 122)(38, 108)(39, 124)(40, 109)(41, 126)(42, 110)(43, 129)(44, 131)(45, 130)(46, 127)(47, 132)(48, 128)(49, 137)(50, 139)(51, 141)(52, 143)(53, 138)(54, 133)(55, 140)(56, 134)(57, 142)(58, 135)(59, 144)(60, 136)(61, 153)(62, 155)(63, 157)(64, 159)(65, 161)(66, 163)(67, 165)(68, 167)(69, 154)(70, 145)(71, 156)(72, 146)(73, 158)(74, 147)(75, 160)(76, 148)(77, 162)(78, 149)(79, 164)(80, 150)(81, 166)(82, 151)(83, 168)(84, 152)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.36
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, (S * Z)^2, S * B * S * A, A * Z * A * Z * B^-1 * Z, B^3 * A^-3, B * Z * A^2 * Z * A^-3 * Z * A^-1, B * A^-1 * Z * B^2 * Z * B^-2 * Z * A^-1, A^2 * Z * B * A^-2 * Z * A^-2 * Z, B^2 * A^-1 * Z * B * A^-1 * Z * B^-2 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 58, 100, 142, 16, 50, 92, 134)(10, 61, 103, 145, 19, 52, 94, 136)(12, 63, 105, 147, 21, 54, 96, 138)(14, 66, 108, 150, 24, 56, 98, 140)(15, 67, 109, 151, 25, 57, 99, 141)(17, 70, 112, 154, 28, 59, 101, 143)(18, 71, 113, 155, 29, 60, 102, 144)(20, 74, 116, 158, 32, 62, 104, 146)(22, 77, 119, 161, 35, 64, 106, 148)(23, 78, 120, 162, 36, 65, 107, 149)(26, 81, 123, 165, 39, 68, 110, 152)(27, 82, 124, 166, 40, 69, 111, 153)(30, 79, 121, 163, 37, 72, 114, 156)(31, 80, 122, 164, 38, 73, 115, 157)(33, 83, 125, 167, 41, 75, 117, 159)(34, 84, 126, 168, 42, 76, 118, 160)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 97)(8, 101)(9, 102)(10, 88)(11, 93)(12, 106)(13, 107)(14, 90)(15, 91)(16, 109)(17, 94)(18, 114)(19, 115)(20, 95)(21, 116)(22, 98)(23, 121)(24, 122)(25, 118)(26, 99)(27, 100)(28, 124)(29, 103)(30, 117)(31, 119)(32, 111)(33, 104)(34, 105)(35, 126)(36, 108)(37, 110)(38, 112)(39, 113)(40, 125)(41, 120)(42, 123)(43, 129)(44, 131)(45, 134)(46, 127)(47, 138)(48, 128)(49, 139)(50, 143)(51, 144)(52, 130)(53, 135)(54, 148)(55, 149)(56, 132)(57, 133)(58, 151)(59, 136)(60, 156)(61, 157)(62, 137)(63, 158)(64, 140)(65, 163)(66, 164)(67, 160)(68, 141)(69, 142)(70, 166)(71, 145)(72, 159)(73, 161)(74, 153)(75, 146)(76, 147)(77, 168)(78, 150)(79, 152)(80, 154)(81, 155)(82, 167)(83, 162)(84, 165)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.39
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C7 : C3) : C2 (small group id <42, 1>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, B * A, S * A * S * B, (S * Z)^2, A * B^-3 * A^2, B * Z * B * Z * A^-1 * Z, A^2 * Z * A^2 * Z * A^-2 * Z * B^-1, A^3 * Z * A * B^-1 * Z * A^-2 * Z, B * A^-1 * Z * B^2 * A^-1 * Z * B^-2 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 58, 100, 142, 16, 50, 92, 134)(10, 61, 103, 145, 19, 52, 94, 136)(12, 63, 105, 147, 21, 54, 96, 138)(14, 66, 108, 150, 24, 56, 98, 140)(15, 67, 109, 151, 25, 57, 99, 141)(17, 70, 112, 154, 28, 59, 101, 143)(18, 71, 113, 155, 29, 60, 102, 144)(20, 74, 116, 158, 32, 62, 104, 146)(22, 77, 119, 161, 35, 64, 106, 148)(23, 78, 120, 162, 36, 65, 107, 149)(26, 75, 117, 159, 33, 68, 110, 152)(27, 76, 118, 160, 34, 69, 111, 153)(30, 81, 123, 165, 39, 72, 114, 156)(31, 82, 124, 166, 40, 73, 115, 157)(37, 83, 125, 167, 41, 79, 121, 163)(38, 84, 126, 168, 42, 80, 122, 164)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 97)(8, 101)(9, 102)(10, 88)(11, 93)(12, 106)(13, 107)(14, 90)(15, 91)(16, 109)(17, 94)(18, 114)(19, 115)(20, 95)(21, 116)(22, 98)(23, 121)(24, 122)(25, 123)(26, 99)(27, 100)(28, 118)(29, 103)(30, 117)(31, 120)(32, 125)(33, 104)(34, 105)(35, 111)(36, 108)(37, 110)(38, 113)(39, 126)(40, 112)(41, 124)(42, 119)(43, 129)(44, 131)(45, 134)(46, 127)(47, 138)(48, 128)(49, 139)(50, 143)(51, 144)(52, 130)(53, 135)(54, 148)(55, 149)(56, 132)(57, 133)(58, 151)(59, 136)(60, 156)(61, 157)(62, 137)(63, 158)(64, 140)(65, 163)(66, 164)(67, 165)(68, 141)(69, 142)(70, 160)(71, 145)(72, 159)(73, 162)(74, 167)(75, 146)(76, 147)(77, 153)(78, 150)(79, 152)(80, 155)(81, 168)(82, 154)(83, 166)(84, 161)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.38
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.40 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * B * S * A, (S * Z)^2, A^-2 * Z * A^2 * Z, A^-5 * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 54, 96, 138, 12, 50, 92, 134)(10, 56, 98, 140, 14, 52, 94, 136)(15, 67, 109, 151, 25, 57, 99, 141)(16, 69, 111, 153, 27, 58, 100, 142)(17, 68, 110, 152, 26, 59, 101, 143)(18, 71, 113, 155, 29, 60, 102, 144)(19, 72, 114, 156, 30, 61, 103, 145)(20, 74, 116, 158, 32, 62, 104, 146)(21, 76, 118, 160, 34, 63, 105, 147)(22, 75, 117, 159, 33, 64, 106, 148)(23, 78, 120, 162, 36, 65, 107, 149)(24, 79, 121, 163, 37, 66, 108, 150)(28, 77, 119, 161, 35, 70, 112, 154)(31, 80, 122, 164, 38, 73, 115, 157)(39, 83, 125, 167, 41, 81, 123, 165)(40, 84, 126, 168, 42, 82, 124, 166)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 101)(9, 100)(10, 88)(11, 104)(12, 106)(13, 105)(14, 90)(15, 110)(16, 91)(17, 112)(18, 93)(19, 94)(20, 117)(21, 95)(22, 119)(23, 97)(24, 98)(25, 122)(26, 121)(27, 123)(28, 120)(29, 124)(30, 102)(31, 103)(32, 115)(33, 114)(34, 125)(35, 113)(36, 126)(37, 107)(38, 108)(39, 109)(40, 111)(41, 116)(42, 118)(43, 130)(44, 132)(45, 127)(46, 136)(47, 128)(48, 140)(49, 142)(50, 129)(51, 144)(52, 145)(53, 147)(54, 131)(55, 149)(56, 150)(57, 133)(58, 135)(59, 134)(60, 156)(61, 157)(62, 137)(63, 139)(64, 138)(65, 163)(66, 164)(67, 165)(68, 141)(69, 166)(70, 143)(71, 161)(72, 159)(73, 158)(74, 167)(75, 146)(76, 168)(77, 148)(78, 154)(79, 152)(80, 151)(81, 153)(82, 155)(83, 160)(84, 162)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.41 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1, A), S * B * S * A, (S * Z)^2, A * Z * B^-1 * Z, B * A^-1 * B * A^-2 * B, A^2 * B * A * B * A^2, A^-1 * B^2 * Z * B * A^-2 * Z, A^-2 * B * Z * B^2 * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 50, 92, 134, 8, 45, 87, 129)(4, 49, 91, 133, 7, 46, 88, 130)(5, 52, 94, 136, 10, 47, 89, 131)(6, 51, 93, 135, 9, 48, 90, 132)(11, 64, 106, 148, 22, 53, 95, 137)(12, 62, 104, 146, 20, 54, 96, 138)(13, 65, 107, 149, 23, 55, 97, 139)(14, 61, 103, 145, 19, 56, 98, 140)(15, 63, 105, 147, 21, 57, 99, 141)(16, 68, 110, 152, 26, 58, 100, 142)(17, 67, 109, 151, 25, 59, 101, 143)(18, 66, 108, 150, 24, 60, 102, 144)(27, 77, 119, 161, 35, 69, 111, 153)(28, 80, 122, 164, 38, 70, 112, 154)(29, 79, 121, 163, 37, 71, 113, 155)(30, 78, 120, 162, 36, 72, 114, 156)(31, 81, 123, 165, 39, 73, 115, 157)(32, 82, 124, 166, 40, 74, 116, 158)(33, 84, 126, 168, 42, 75, 117, 159)(34, 83, 125, 167, 41, 76, 118, 160)
	L = (1, 87)(2, 91)(3, 95)(4, 96)(5, 85)(6, 97)(7, 103)(8, 104)(9, 86)(10, 105)(11, 111)(12, 112)(13, 113)(14, 114)(15, 88)(16, 89)(17, 90)(18, 115)(19, 119)(20, 120)(21, 121)(22, 122)(23, 92)(24, 93)(25, 94)(26, 123)(27, 118)(28, 117)(29, 98)(30, 116)(31, 99)(32, 100)(33, 101)(34, 102)(35, 126)(36, 125)(37, 106)(38, 124)(39, 107)(40, 108)(41, 109)(42, 110)(43, 132)(44, 136)(45, 139)(46, 127)(47, 143)(48, 144)(49, 147)(50, 128)(51, 151)(52, 152)(53, 155)(54, 129)(55, 157)(56, 130)(57, 131)(58, 159)(59, 160)(60, 158)(61, 163)(62, 133)(63, 165)(64, 134)(65, 135)(66, 167)(67, 168)(68, 166)(69, 140)(70, 137)(71, 141)(72, 138)(73, 142)(74, 154)(75, 153)(76, 156)(77, 148)(78, 145)(79, 149)(80, 146)(81, 150)(82, 162)(83, 161)(84, 164)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.42 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B, (S * Z)^2, S * B * S * A, (A^-2 * B^-1)^2, A^6, A^-1 * Z * B * A * Z * A^-1, A * Z * A * Z * A * Z * A * Z * B^-1 * Z * B^-1 * Z * A * Z ]
Map::
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 54, 96, 138, 12, 50, 92, 134)(10, 56, 98, 140, 14, 52, 94, 136)(15, 65, 107, 149, 23, 57, 99, 141)(16, 67, 109, 151, 25, 58, 100, 142)(17, 66, 108, 150, 24, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(19, 69, 111, 153, 27, 61, 103, 145)(20, 71, 113, 155, 29, 62, 104, 146)(21, 70, 112, 154, 28, 63, 105, 147)(22, 72, 114, 156, 30, 64, 106, 148)(31, 79, 121, 163, 37, 73, 115, 157)(32, 80, 122, 164, 38, 74, 116, 158)(33, 81, 123, 165, 39, 75, 117, 159)(34, 82, 124, 166, 40, 76, 118, 160)(35, 83, 125, 167, 41, 77, 119, 161)(36, 84, 126, 168, 42, 78, 120, 162)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 101)(9, 100)(10, 88)(11, 103)(12, 105)(13, 104)(14, 90)(15, 108)(16, 91)(17, 94)(18, 93)(19, 112)(20, 95)(21, 98)(22, 97)(23, 115)(24, 102)(25, 116)(26, 117)(27, 118)(28, 106)(29, 119)(30, 120)(31, 110)(32, 107)(33, 109)(34, 114)(35, 111)(36, 113)(37, 125)(38, 126)(39, 124)(40, 122)(41, 123)(42, 121)(43, 130)(44, 132)(45, 127)(46, 136)(47, 128)(48, 140)(49, 142)(50, 129)(51, 144)(52, 143)(53, 146)(54, 131)(55, 148)(56, 147)(57, 133)(58, 135)(59, 134)(60, 150)(61, 137)(62, 139)(63, 138)(64, 154)(65, 158)(66, 141)(67, 159)(68, 157)(69, 161)(70, 145)(71, 162)(72, 160)(73, 149)(74, 151)(75, 152)(76, 153)(77, 155)(78, 156)(79, 168)(80, 166)(81, 167)(82, 165)(83, 163)(84, 164)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.43 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B, A), S * B * S * A, (S * Z)^2, A^-1 * Z * B * Z, A^-2 * B^-1 * A^-1 * B^-2, A^3 * B^-1 * A * B^-1 * A ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 50, 92, 134, 8, 45, 87, 129)(4, 49, 91, 133, 7, 46, 88, 130)(5, 52, 94, 136, 10, 47, 89, 131)(6, 51, 93, 135, 9, 48, 90, 132)(11, 64, 106, 148, 22, 53, 95, 137)(12, 62, 104, 146, 20, 54, 96, 138)(13, 65, 107, 149, 23, 55, 97, 139)(14, 61, 103, 145, 19, 56, 98, 140)(15, 63, 105, 147, 21, 57, 99, 141)(16, 68, 110, 152, 26, 58, 100, 142)(17, 67, 109, 151, 25, 59, 101, 143)(18, 66, 108, 150, 24, 60, 102, 144)(27, 82, 124, 166, 40, 69, 111, 153)(28, 80, 122, 164, 38, 70, 112, 154)(29, 83, 125, 167, 41, 71, 113, 155)(30, 78, 120, 162, 36, 72, 114, 156)(31, 84, 126, 168, 42, 73, 115, 157)(32, 77, 119, 161, 35, 74, 116, 158)(33, 79, 121, 163, 37, 75, 117, 159)(34, 81, 123, 165, 39, 76, 118, 160)
	L = (1, 87)(2, 91)(3, 95)(4, 96)(5, 85)(6, 97)(7, 103)(8, 104)(9, 86)(10, 105)(11, 111)(12, 112)(13, 113)(14, 114)(15, 88)(16, 89)(17, 90)(18, 115)(19, 119)(20, 120)(21, 121)(22, 122)(23, 92)(24, 93)(25, 94)(26, 123)(27, 117)(28, 102)(29, 118)(30, 101)(31, 116)(32, 100)(33, 98)(34, 99)(35, 125)(36, 110)(37, 126)(38, 109)(39, 124)(40, 108)(41, 106)(42, 107)(43, 132)(44, 136)(45, 139)(46, 127)(47, 143)(48, 144)(49, 147)(50, 128)(51, 151)(52, 152)(53, 155)(54, 129)(55, 157)(56, 130)(57, 131)(58, 156)(59, 154)(60, 153)(61, 163)(62, 133)(63, 165)(64, 134)(65, 135)(66, 164)(67, 162)(68, 161)(69, 160)(70, 137)(71, 158)(72, 138)(73, 159)(74, 140)(75, 141)(76, 142)(77, 168)(78, 145)(79, 166)(80, 146)(81, 167)(82, 148)(83, 149)(84, 150)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.44 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D42 (small group id <42, 5>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, S * B * S * A, (S * Z)^2, (B * Z * A)^2, (B * A)^3, A * Z * A * Z * A * Z * B * Z * A * Z * B * Z * A * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 56, 98, 140, 14, 50, 92, 134)(10, 54, 96, 138, 12, 52, 94, 136)(15, 65, 107, 149, 23, 57, 99, 141)(16, 67, 109, 151, 25, 58, 100, 142)(17, 66, 108, 150, 24, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(19, 69, 111, 153, 27, 61, 103, 145)(20, 71, 113, 155, 29, 62, 104, 146)(21, 70, 112, 154, 28, 63, 105, 147)(22, 72, 114, 156, 30, 64, 106, 148)(31, 79, 121, 163, 37, 73, 115, 157)(32, 80, 122, 164, 38, 74, 116, 158)(33, 81, 123, 165, 39, 75, 117, 159)(34, 82, 124, 166, 40, 76, 118, 160)(35, 83, 125, 167, 41, 77, 119, 161)(36, 84, 126, 168, 42, 78, 120, 162)
	L = (1, 87)(2, 89)(3, 85)(4, 94)(5, 86)(6, 98)(7, 99)(8, 101)(9, 100)(10, 88)(11, 103)(12, 105)(13, 104)(14, 90)(15, 91)(16, 93)(17, 92)(18, 108)(19, 95)(20, 97)(21, 96)(22, 112)(23, 115)(24, 102)(25, 116)(26, 117)(27, 118)(28, 106)(29, 119)(30, 120)(31, 107)(32, 109)(33, 110)(34, 111)(35, 113)(36, 114)(37, 126)(38, 125)(39, 124)(40, 123)(41, 122)(42, 121)(43, 130)(44, 132)(45, 134)(46, 127)(47, 138)(48, 128)(49, 142)(50, 129)(51, 144)(52, 143)(53, 146)(54, 131)(55, 148)(56, 147)(57, 150)(58, 133)(59, 136)(60, 135)(61, 154)(62, 137)(63, 140)(64, 139)(65, 158)(66, 141)(67, 159)(68, 157)(69, 161)(70, 145)(71, 162)(72, 160)(73, 152)(74, 149)(75, 151)(76, 156)(77, 153)(78, 155)(79, 167)(80, 166)(81, 168)(82, 164)(83, 163)(84, 165)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.45 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D42 (small group id <42, 5>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1, B), (S * Z)^2, S * B * S * A, (Z * B)^2, (A^-1 * Z)^2, (A^-1 * B * Z)^2, B^-1 * A^-1 * B^-2 * A^-2, A^4 * B^-1 * A * B^-1 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 51, 93, 135, 9, 45, 87, 129)(4, 52, 94, 136, 10, 46, 88, 130)(5, 49, 91, 133, 7, 47, 89, 131)(6, 50, 92, 134, 8, 48, 90, 132)(11, 66, 108, 150, 24, 53, 95, 137)(12, 67, 109, 151, 25, 54, 96, 138)(13, 65, 107, 149, 23, 55, 97, 139)(14, 68, 110, 152, 26, 56, 98, 140)(15, 63, 105, 147, 21, 57, 99, 141)(16, 61, 103, 145, 19, 58, 100, 142)(17, 62, 104, 146, 20, 59, 101, 143)(18, 64, 106, 148, 22, 60, 102, 144)(27, 82, 124, 166, 40, 69, 111, 153)(28, 80, 122, 164, 38, 70, 112, 154)(29, 84, 126, 168, 42, 71, 113, 155)(30, 78, 120, 162, 36, 72, 114, 156)(31, 83, 125, 167, 41, 73, 115, 157)(32, 77, 119, 161, 35, 74, 116, 158)(33, 81, 123, 165, 39, 75, 117, 159)(34, 79, 121, 163, 37, 76, 118, 160)
	L = (1, 87)(2, 91)(3, 95)(4, 96)(5, 85)(6, 97)(7, 103)(8, 104)(9, 86)(10, 105)(11, 111)(12, 112)(13, 113)(14, 114)(15, 88)(16, 89)(17, 90)(18, 115)(19, 119)(20, 120)(21, 121)(22, 122)(23, 92)(24, 93)(25, 94)(26, 123)(27, 117)(28, 102)(29, 118)(30, 101)(31, 116)(32, 100)(33, 98)(34, 99)(35, 125)(36, 110)(37, 126)(38, 109)(39, 124)(40, 108)(41, 106)(42, 107)(43, 132)(44, 136)(45, 139)(46, 127)(47, 143)(48, 144)(49, 147)(50, 128)(51, 151)(52, 152)(53, 155)(54, 129)(55, 157)(56, 130)(57, 131)(58, 156)(59, 154)(60, 153)(61, 163)(62, 133)(63, 165)(64, 134)(65, 135)(66, 164)(67, 162)(68, 161)(69, 160)(70, 137)(71, 158)(72, 138)(73, 159)(74, 140)(75, 141)(76, 142)(77, 168)(78, 145)(79, 166)(80, 146)(81, 167)(82, 148)(83, 149)(84, 150)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.46 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C42 (small group id <42, 6>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, S * B * S * A, (S * Z)^2, (A, B^-1), B * Z * B^-1 * Z, A^-1 * Z * A * Z, B^-1 * A^-1 * B^-2 * A^-2, A^3 * B^-1 * A * B^-1 * A ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 50, 92, 134, 8, 46, 88, 130)(5, 51, 93, 135, 9, 47, 89, 131)(6, 52, 94, 136, 10, 48, 90, 132)(11, 61, 103, 145, 19, 53, 95, 137)(12, 62, 104, 146, 20, 54, 96, 138)(13, 63, 105, 147, 21, 55, 97, 139)(14, 64, 106, 148, 22, 56, 98, 140)(15, 65, 107, 149, 23, 57, 99, 141)(16, 66, 108, 150, 24, 58, 100, 142)(17, 67, 109, 151, 25, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(27, 77, 119, 161, 35, 69, 111, 153)(28, 78, 120, 162, 36, 70, 112, 154)(29, 79, 121, 163, 37, 71, 113, 155)(30, 80, 122, 164, 38, 72, 114, 156)(31, 81, 123, 165, 39, 73, 115, 157)(32, 82, 124, 166, 40, 74, 116, 158)(33, 83, 125, 167, 41, 75, 117, 159)(34, 84, 126, 168, 42, 76, 118, 160)
	L = (1, 87)(2, 91)(3, 95)(4, 96)(5, 85)(6, 97)(7, 103)(8, 104)(9, 86)(10, 105)(11, 111)(12, 112)(13, 113)(14, 114)(15, 88)(16, 89)(17, 90)(18, 115)(19, 119)(20, 120)(21, 121)(22, 122)(23, 92)(24, 93)(25, 94)(26, 123)(27, 117)(28, 102)(29, 118)(30, 101)(31, 116)(32, 100)(33, 98)(34, 99)(35, 125)(36, 110)(37, 126)(38, 109)(39, 124)(40, 108)(41, 106)(42, 107)(43, 132)(44, 136)(45, 139)(46, 127)(47, 143)(48, 144)(49, 147)(50, 128)(51, 151)(52, 152)(53, 155)(54, 129)(55, 157)(56, 130)(57, 131)(58, 156)(59, 154)(60, 153)(61, 163)(62, 133)(63, 165)(64, 134)(65, 135)(66, 164)(67, 162)(68, 161)(69, 160)(70, 137)(71, 158)(72, 138)(73, 159)(74, 140)(75, 141)(76, 142)(77, 168)(78, 145)(79, 166)(80, 146)(81, 167)(82, 148)(83, 149)(84, 150)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.47 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, Z * A^2 * Z * A^-2, A^-2 * Z * B^-1 * A * Z, Z * B * A^-1 * Z * A^2, A^2 * Z * A^-2 * Z, B^2 * Z * B^-2 * Z, B * Z * A * B^-1 * Z * A^-1, A * B^-1 * A * Z * A * Z * B^-3 * Z, B * Z * B * A^-1 * B * Z * A^-3 * Z, A * Z * B * Z * A * Z * B^-1 * Z * A^-1 * Z * A^-1 * Z, B * Z * A * Z * B * Z * B^-1 * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 54, 96, 138, 12, 50, 92, 134)(10, 56, 98, 140, 14, 52, 94, 136)(15, 67, 109, 151, 25, 57, 99, 141)(16, 69, 111, 153, 27, 58, 100, 142)(17, 68, 110, 152, 26, 59, 101, 143)(18, 71, 113, 155, 29, 60, 102, 144)(19, 72, 114, 156, 30, 61, 103, 145)(20, 74, 116, 158, 32, 62, 104, 146)(21, 76, 118, 160, 34, 63, 105, 147)(22, 75, 117, 159, 33, 64, 106, 148)(23, 78, 120, 162, 36, 65, 107, 149)(24, 79, 121, 163, 37, 66, 108, 150)(28, 77, 119, 161, 35, 70, 112, 154)(31, 80, 122, 164, 38, 73, 115, 157)(39, 83, 125, 167, 41, 81, 123, 165)(40, 84, 126, 168, 42, 82, 124, 166)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 101)(9, 100)(10, 88)(11, 104)(12, 106)(13, 105)(14, 90)(15, 110)(16, 91)(17, 112)(18, 93)(19, 94)(20, 117)(21, 95)(22, 119)(23, 97)(24, 98)(25, 122)(26, 121)(27, 123)(28, 120)(29, 124)(30, 102)(31, 103)(32, 115)(33, 114)(34, 125)(35, 113)(36, 126)(37, 107)(38, 108)(39, 109)(40, 111)(41, 116)(42, 118)(43, 129)(44, 131)(45, 134)(46, 127)(47, 138)(48, 128)(49, 141)(50, 143)(51, 142)(52, 130)(53, 146)(54, 148)(55, 147)(56, 132)(57, 152)(58, 133)(59, 154)(60, 135)(61, 136)(62, 159)(63, 137)(64, 161)(65, 139)(66, 140)(67, 164)(68, 163)(69, 165)(70, 162)(71, 166)(72, 144)(73, 145)(74, 157)(75, 156)(76, 167)(77, 155)(78, 168)(79, 149)(80, 150)(81, 151)(82, 153)(83, 158)(84, 160)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.48 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C7 x S3 (small group id <42, 3>)
Aut   = C14 x S3 (small group id <84, 13>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, B^-2 * A^-2, (S * Z)^2, S * B * S * A, A * Z * B * Z * A^-1 * Z * B^-1 * Z, B^2 * Z * A * B^-2 * Z * A^-1, A * Z * A * Z * A^-1 * Z * A^-1 * Z, B * Z * A^2 * B^-1 * Z * A^-2, A^3 * Z * A^-3 * Z, B^3 * Z * B^-3 * Z, B * Z * B * Z * B^-1 * Z * B^-1 * Z, A^4 * Z * B^-2 * Z * B^-1, Z * B^2 * A^-2 * B * Z * A^-2 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 59, 101, 143, 17, 50, 92, 134)(10, 63, 105, 147, 21, 52, 94, 136)(12, 67, 109, 151, 25, 54, 96, 138)(14, 71, 113, 155, 29, 56, 98, 140)(15, 65, 107, 149, 23, 57, 99, 141)(16, 69, 111, 153, 27, 58, 100, 142)(18, 68, 110, 152, 26, 60, 102, 144)(19, 66, 108, 150, 24, 61, 103, 145)(20, 70, 112, 154, 28, 62, 104, 146)(22, 72, 114, 156, 30, 64, 106, 148)(31, 80, 122, 164, 38, 73, 115, 157)(32, 82, 124, 166, 40, 74, 116, 158)(33, 81, 123, 165, 39, 75, 117, 159)(34, 83, 125, 167, 41, 76, 118, 160)(35, 78, 120, 162, 36, 77, 119, 161)(37, 84, 126, 168, 42, 79, 121, 163)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 102)(9, 103)(10, 88)(11, 107)(12, 110)(13, 111)(14, 90)(15, 115)(16, 91)(17, 117)(18, 119)(19, 118)(20, 93)(21, 116)(22, 94)(23, 123)(24, 95)(25, 122)(26, 121)(27, 125)(28, 97)(29, 124)(30, 98)(31, 120)(32, 100)(33, 114)(34, 101)(35, 113)(36, 104)(37, 105)(38, 106)(39, 126)(40, 108)(41, 109)(42, 112)(43, 129)(44, 131)(45, 134)(46, 127)(47, 138)(48, 128)(49, 141)(50, 144)(51, 145)(52, 130)(53, 149)(54, 152)(55, 153)(56, 132)(57, 157)(58, 133)(59, 159)(60, 161)(61, 160)(62, 135)(63, 158)(64, 136)(65, 165)(66, 137)(67, 164)(68, 163)(69, 167)(70, 139)(71, 166)(72, 140)(73, 162)(74, 142)(75, 156)(76, 143)(77, 155)(78, 146)(79, 147)(80, 148)(81, 168)(82, 150)(83, 151)(84, 154)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.49 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C42 (small group id <42, 6>)
Aut   = C6 x D14 (small group id <84, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1, A^-1), S * B * S * A, (S * Z)^2, B * Z * B^-1 * Z, A^-1 * Z * A * Z, A^-1 * B^3 * A^-2, B^4 * A * B * A ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 50, 92, 134, 8, 46, 88, 130)(5, 51, 93, 135, 9, 47, 89, 131)(6, 52, 94, 136, 10, 48, 90, 132)(11, 61, 103, 145, 19, 53, 95, 137)(12, 62, 104, 146, 20, 54, 96, 138)(13, 63, 105, 147, 21, 55, 97, 139)(14, 64, 106, 148, 22, 56, 98, 140)(15, 65, 107, 149, 23, 57, 99, 141)(16, 66, 108, 150, 24, 58, 100, 142)(17, 67, 109, 151, 25, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(27, 77, 119, 161, 35, 69, 111, 153)(28, 78, 120, 162, 36, 70, 112, 154)(29, 79, 121, 163, 37, 71, 113, 155)(30, 80, 122, 164, 38, 72, 114, 156)(31, 81, 123, 165, 39, 73, 115, 157)(32, 82, 124, 166, 40, 74, 116, 158)(33, 83, 125, 167, 41, 75, 117, 159)(34, 84, 126, 168, 42, 76, 118, 160)
	L = (1, 87)(2, 91)(3, 95)(4, 96)(5, 85)(6, 97)(7, 103)(8, 104)(9, 86)(10, 105)(11, 111)(12, 112)(13, 113)(14, 114)(15, 88)(16, 89)(17, 90)(18, 115)(19, 119)(20, 120)(21, 121)(22, 122)(23, 92)(24, 93)(25, 94)(26, 123)(27, 118)(28, 117)(29, 98)(30, 116)(31, 99)(32, 100)(33, 101)(34, 102)(35, 126)(36, 125)(37, 106)(38, 124)(39, 107)(40, 108)(41, 109)(42, 110)(43, 132)(44, 136)(45, 139)(46, 127)(47, 143)(48, 144)(49, 147)(50, 128)(51, 151)(52, 152)(53, 155)(54, 129)(55, 157)(56, 130)(57, 131)(58, 159)(59, 160)(60, 158)(61, 163)(62, 133)(63, 165)(64, 134)(65, 135)(66, 167)(67, 168)(68, 166)(69, 140)(70, 137)(71, 141)(72, 138)(73, 142)(74, 154)(75, 153)(76, 156)(77, 148)(78, 145)(79, 149)(80, 146)(81, 150)(82, 162)(83, 161)(84, 164)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.50 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = C6 x D14 (small group id <84, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, (S * Z)^2, S * A * S * B, (B * A^-1)^3, B^3 * A^-3, B * Z * A * B^-1 * Z * A^-1, B^2 * Z * B^-2 * Z, A^2 * Z * A^-2 * Z, A * Z * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 54, 96, 138, 12, 50, 92, 134)(10, 56, 98, 140, 14, 52, 94, 136)(15, 65, 107, 149, 23, 57, 99, 141)(16, 67, 109, 151, 25, 58, 100, 142)(17, 66, 108, 150, 24, 59, 101, 143)(18, 68, 110, 152, 26, 60, 102, 144)(19, 69, 111, 153, 27, 61, 103, 145)(20, 71, 113, 155, 29, 62, 104, 146)(21, 70, 112, 154, 28, 63, 105, 147)(22, 72, 114, 156, 30, 64, 106, 148)(31, 79, 121, 163, 37, 73, 115, 157)(32, 80, 122, 164, 38, 74, 116, 158)(33, 81, 123, 165, 39, 75, 117, 159)(34, 82, 124, 166, 40, 76, 118, 160)(35, 83, 125, 167, 41, 77, 119, 161)(36, 84, 126, 168, 42, 78, 120, 162)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 101)(9, 100)(10, 88)(11, 103)(12, 105)(13, 104)(14, 90)(15, 108)(16, 91)(17, 94)(18, 93)(19, 112)(20, 95)(21, 98)(22, 97)(23, 115)(24, 102)(25, 116)(26, 117)(27, 118)(28, 106)(29, 119)(30, 120)(31, 110)(32, 107)(33, 109)(34, 114)(35, 111)(36, 113)(37, 125)(38, 126)(39, 124)(40, 122)(41, 123)(42, 121)(43, 129)(44, 131)(45, 134)(46, 127)(47, 138)(48, 128)(49, 141)(50, 143)(51, 142)(52, 130)(53, 145)(54, 147)(55, 146)(56, 132)(57, 150)(58, 133)(59, 136)(60, 135)(61, 154)(62, 137)(63, 140)(64, 139)(65, 157)(66, 144)(67, 158)(68, 159)(69, 160)(70, 148)(71, 161)(72, 162)(73, 152)(74, 149)(75, 151)(76, 156)(77, 153)(78, 155)(79, 167)(80, 168)(81, 166)(82, 164)(83, 165)(84, 163)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.51 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = C6 x D14 (small group id <84, 12>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * A * S * B, (S * Z)^2, A^3 * B^2 * A^-2 * B^-1, B * Z * B^2 * A^-1 * Z * A^-2, B^2 * Z * B * A^-2 * Z * A^-1, A * Z * B * Z * A^-1 * Z * B^-1 * Z, A^3 * Z * B^-3 * Z, B * Z * B * Z * B^-1 * Z * B^-1 * Z, A * Z * A * Z * A^-1 * Z * A^-1 * Z, Z * A^2 * B^-2 * A * Z * A^-2, Z * B^2 * A^-2 * B * Z * B^-2 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 49, 91, 133, 7, 45, 87, 129)(4, 51, 93, 135, 9, 46, 88, 130)(5, 53, 95, 137, 11, 47, 89, 131)(6, 55, 97, 139, 13, 48, 90, 132)(8, 59, 101, 143, 17, 50, 92, 134)(10, 63, 105, 147, 21, 52, 94, 136)(12, 67, 109, 151, 25, 54, 96, 138)(14, 71, 113, 155, 29, 56, 98, 140)(15, 65, 107, 149, 23, 57, 99, 141)(16, 69, 111, 153, 27, 58, 100, 142)(18, 72, 114, 156, 30, 60, 102, 144)(19, 66, 108, 150, 24, 61, 103, 145)(20, 70, 112, 154, 28, 62, 104, 146)(22, 68, 110, 152, 26, 64, 106, 148)(31, 83, 125, 167, 41, 73, 115, 157)(32, 80, 122, 164, 38, 74, 116, 158)(33, 81, 123, 165, 39, 75, 117, 159)(34, 84, 126, 168, 42, 76, 118, 160)(35, 78, 120, 162, 36, 77, 119, 161)(37, 82, 124, 166, 40, 79, 121, 163)
	L = (1, 87)(2, 89)(3, 92)(4, 85)(5, 96)(6, 86)(7, 99)(8, 102)(9, 103)(10, 88)(11, 107)(12, 110)(13, 111)(14, 90)(15, 115)(16, 91)(17, 117)(18, 119)(19, 120)(20, 93)(21, 121)(22, 94)(23, 123)(24, 95)(25, 125)(26, 118)(27, 126)(28, 97)(29, 122)(30, 98)(31, 105)(32, 100)(33, 104)(34, 101)(35, 109)(36, 116)(37, 114)(38, 106)(39, 113)(40, 108)(41, 112)(42, 124)(43, 129)(44, 131)(45, 134)(46, 127)(47, 138)(48, 128)(49, 141)(50, 144)(51, 145)(52, 130)(53, 149)(54, 152)(55, 153)(56, 132)(57, 157)(58, 133)(59, 159)(60, 161)(61, 162)(62, 135)(63, 163)(64, 136)(65, 165)(66, 137)(67, 167)(68, 160)(69, 168)(70, 139)(71, 164)(72, 140)(73, 147)(74, 142)(75, 146)(76, 143)(77, 151)(78, 158)(79, 156)(80, 148)(81, 155)(82, 150)(83, 154)(84, 166)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.52 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A^-1, S * A * S * B, (S * Z)^2, A * Z * A^-1 * Z, A^21 ]
Map::
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 47, 89, 131, 5, 45, 87, 129)(4, 48, 90, 132, 6, 46, 88, 130)(7, 51, 93, 135, 9, 49, 91, 133)(8, 52, 94, 136, 10, 50, 92, 134)(11, 55, 97, 139, 13, 53, 95, 137)(12, 56, 98, 140, 14, 54, 96, 138)(15, 59, 101, 143, 17, 57, 99, 141)(16, 60, 102, 144, 18, 58, 100, 142)(19, 63, 105, 147, 21, 61, 103, 145)(20, 64, 106, 148, 22, 62, 104, 146)(23, 67, 109, 151, 25, 65, 107, 149)(24, 68, 110, 152, 26, 66, 108, 150)(27, 71, 113, 155, 29, 69, 111, 153)(28, 72, 114, 156, 30, 70, 112, 154)(31, 75, 117, 159, 33, 73, 115, 157)(32, 76, 118, 160, 34, 74, 116, 158)(35, 79, 121, 163, 37, 77, 119, 161)(36, 80, 122, 164, 38, 78, 120, 162)(39, 83, 125, 167, 41, 81, 123, 165)(40, 84, 126, 168, 42, 82, 124, 166)
	L = (1, 87)(2, 89)(3, 91)(4, 85)(5, 93)(6, 86)(7, 95)(8, 88)(9, 97)(10, 90)(11, 99)(12, 92)(13, 101)(14, 94)(15, 103)(16, 96)(17, 105)(18, 98)(19, 107)(20, 100)(21, 109)(22, 102)(23, 111)(24, 104)(25, 113)(26, 106)(27, 115)(28, 108)(29, 117)(30, 110)(31, 119)(32, 112)(33, 121)(34, 114)(35, 123)(36, 116)(37, 125)(38, 118)(39, 124)(40, 120)(41, 126)(42, 122)(43, 130)(44, 132)(45, 127)(46, 134)(47, 128)(48, 136)(49, 129)(50, 138)(51, 131)(52, 140)(53, 133)(54, 142)(55, 135)(56, 144)(57, 137)(58, 146)(59, 139)(60, 148)(61, 141)(62, 150)(63, 143)(64, 152)(65, 145)(66, 154)(67, 147)(68, 156)(69, 149)(70, 158)(71, 151)(72, 160)(73, 153)(74, 162)(75, 155)(76, 164)(77, 157)(78, 166)(79, 159)(80, 168)(81, 161)(82, 165)(83, 163)(84, 167)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.53 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, (S * Z)^2, S * A * S * B, (A * Z)^21 ]
Map::
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 47, 89, 131, 5, 45, 87, 129)(4, 48, 90, 132, 6, 46, 88, 130)(7, 51, 93, 135, 9, 49, 91, 133)(8, 52, 94, 136, 10, 50, 92, 134)(11, 55, 97, 139, 13, 53, 95, 137)(12, 56, 98, 140, 14, 54, 96, 138)(15, 58, 100, 142, 16, 57, 99, 141)(17, 65, 107, 149, 23, 59, 101, 143)(18, 67, 109, 151, 25, 60, 102, 144)(19, 69, 111, 153, 27, 61, 103, 145)(20, 71, 113, 155, 29, 62, 104, 146)(21, 73, 115, 157, 31, 63, 105, 147)(22, 75, 117, 159, 33, 64, 106, 148)(24, 77, 119, 161, 35, 66, 108, 150)(26, 79, 121, 163, 37, 68, 110, 152)(28, 81, 123, 165, 39, 70, 112, 154)(30, 83, 125, 167, 41, 72, 114, 156)(32, 84, 126, 168, 42, 74, 116, 158)(34, 82, 124, 166, 40, 76, 118, 160)(36, 80, 122, 164, 38, 78, 120, 162)
	L = (1, 87)(2, 88)(3, 85)(4, 86)(5, 91)(6, 92)(7, 89)(8, 90)(9, 95)(10, 96)(11, 93)(12, 94)(13, 99)(14, 107)(15, 97)(16, 109)(17, 111)(18, 113)(19, 115)(20, 117)(21, 119)(22, 121)(23, 98)(24, 123)(25, 100)(26, 125)(27, 101)(28, 126)(29, 102)(30, 124)(31, 103)(32, 122)(33, 104)(34, 120)(35, 105)(36, 118)(37, 106)(38, 116)(39, 108)(40, 114)(41, 110)(42, 112)(43, 129)(44, 130)(45, 127)(46, 128)(47, 133)(48, 134)(49, 131)(50, 132)(51, 137)(52, 138)(53, 135)(54, 136)(55, 141)(56, 149)(57, 139)(58, 151)(59, 153)(60, 155)(61, 157)(62, 159)(63, 161)(64, 163)(65, 140)(66, 165)(67, 142)(68, 167)(69, 143)(70, 168)(71, 144)(72, 166)(73, 145)(74, 164)(75, 146)(76, 162)(77, 147)(78, 160)(79, 148)(80, 158)(81, 150)(82, 156)(83, 152)(84, 154)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.54 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D42 (small group id <42, 5>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, A^11 * B^-10 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 48, 90, 132, 6, 45, 87, 129)(4, 47, 89, 131, 5, 46, 88, 130)(7, 52, 94, 136, 10, 49, 91, 133)(8, 51, 93, 135, 9, 50, 92, 134)(11, 56, 98, 140, 14, 53, 95, 137)(12, 55, 97, 139, 13, 54, 96, 138)(15, 60, 102, 144, 18, 57, 99, 141)(16, 59, 101, 143, 17, 58, 100, 142)(19, 64, 106, 148, 22, 61, 103, 145)(20, 63, 105, 147, 21, 62, 104, 146)(23, 68, 110, 152, 26, 65, 107, 149)(24, 67, 109, 151, 25, 66, 108, 150)(27, 72, 114, 156, 30, 69, 111, 153)(28, 71, 113, 155, 29, 70, 112, 154)(31, 76, 118, 160, 34, 73, 115, 157)(32, 75, 117, 159, 33, 74, 116, 158)(35, 80, 122, 164, 38, 77, 119, 161)(36, 79, 121, 163, 37, 78, 120, 162)(39, 84, 126, 168, 42, 81, 123, 165)(40, 83, 125, 167, 41, 82, 124, 166)
	L = (1, 87)(2, 89)(3, 91)(4, 85)(5, 93)(6, 86)(7, 95)(8, 88)(9, 97)(10, 90)(11, 99)(12, 92)(13, 101)(14, 94)(15, 103)(16, 96)(17, 105)(18, 98)(19, 107)(20, 100)(21, 109)(22, 102)(23, 111)(24, 104)(25, 113)(26, 106)(27, 115)(28, 108)(29, 117)(30, 110)(31, 119)(32, 112)(33, 121)(34, 114)(35, 123)(36, 116)(37, 125)(38, 118)(39, 124)(40, 120)(41, 126)(42, 122)(43, 129)(44, 131)(45, 133)(46, 127)(47, 135)(48, 128)(49, 137)(50, 130)(51, 139)(52, 132)(53, 141)(54, 134)(55, 143)(56, 136)(57, 145)(58, 138)(59, 147)(60, 140)(61, 149)(62, 142)(63, 151)(64, 144)(65, 153)(66, 146)(67, 155)(68, 148)(69, 157)(70, 150)(71, 159)(72, 152)(73, 161)(74, 154)(75, 163)(76, 156)(77, 165)(78, 158)(79, 167)(80, 160)(81, 166)(82, 162)(83, 168)(84, 164)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.55 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C42 (small group id <42, 6>)
Aut   = C42 x C2 (small group id <84, 15>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, S * A * S * B, (S * Z)^2, B * Z * B^-1 * Z, A * Z * A^-1 * Z, A^11 * B^-10 ]
Map:: non-degenerate
	R = (1, 44, 86, 128, 2, 43, 85, 127)(3, 47, 89, 131, 5, 45, 87, 129)(4, 48, 90, 132, 6, 46, 88, 130)(7, 51, 93, 135, 9, 49, 91, 133)(8, 52, 94, 136, 10, 50, 92, 134)(11, 55, 97, 139, 13, 53, 95, 137)(12, 56, 98, 140, 14, 54, 96, 138)(15, 59, 101, 143, 17, 57, 99, 141)(16, 60, 102, 144, 18, 58, 100, 142)(19, 63, 105, 147, 21, 61, 103, 145)(20, 64, 106, 148, 22, 62, 104, 146)(23, 67, 109, 151, 25, 65, 107, 149)(24, 68, 110, 152, 26, 66, 108, 150)(27, 71, 113, 155, 29, 69, 111, 153)(28, 72, 114, 156, 30, 70, 112, 154)(31, 75, 117, 159, 33, 73, 115, 157)(32, 76, 118, 160, 34, 74, 116, 158)(35, 79, 121, 163, 37, 77, 119, 161)(36, 80, 122, 164, 38, 78, 120, 162)(39, 83, 125, 167, 41, 81, 123, 165)(40, 84, 126, 168, 42, 82, 124, 166)
	L = (1, 87)(2, 89)(3, 91)(4, 85)(5, 93)(6, 86)(7, 95)(8, 88)(9, 97)(10, 90)(11, 99)(12, 92)(13, 101)(14, 94)(15, 103)(16, 96)(17, 105)(18, 98)(19, 107)(20, 100)(21, 109)(22, 102)(23, 111)(24, 104)(25, 113)(26, 106)(27, 115)(28, 108)(29, 117)(30, 110)(31, 119)(32, 112)(33, 121)(34, 114)(35, 123)(36, 116)(37, 125)(38, 118)(39, 124)(40, 120)(41, 126)(42, 122)(43, 129)(44, 131)(45, 133)(46, 127)(47, 135)(48, 128)(49, 137)(50, 130)(51, 139)(52, 132)(53, 141)(54, 134)(55, 143)(56, 136)(57, 145)(58, 138)(59, 147)(60, 140)(61, 149)(62, 142)(63, 151)(64, 144)(65, 153)(66, 146)(67, 155)(68, 148)(69, 157)(70, 150)(71, 159)(72, 152)(73, 161)(74, 154)(75, 163)(76, 156)(77, 165)(78, 158)(79, 167)(80, 160)(81, 166)(82, 162)(83, 168)(84, 164)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.56 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^11, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 10, 33, 14, 37, 18, 41, 22, 45, 21, 44, 17, 40, 13, 36, 9, 32, 5, 28, 3, 26, 7, 30, 11, 34, 15, 38, 19, 42, 23, 46, 20, 43, 16, 39, 12, 35, 8, 31, 4, 27)(47, 70, 49, 72, 48, 71, 53, 76, 52, 75, 57, 80, 56, 79, 61, 84, 60, 83, 65, 88, 64, 87, 69, 92, 68, 91, 66, 89, 67, 90, 62, 85, 63, 86, 58, 81, 59, 82, 54, 77, 55, 78, 50, 73, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.57 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-11, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 10, 33, 14, 37, 18, 41, 22, 45, 20, 43, 16, 39, 12, 35, 8, 31, 3, 26, 5, 28, 7, 30, 11, 34, 15, 38, 19, 42, 23, 46, 21, 44, 17, 40, 13, 36, 9, 32, 4, 27)(47, 70, 49, 72, 50, 73, 54, 77, 55, 78, 58, 81, 59, 82, 62, 85, 63, 86, 66, 89, 67, 90, 68, 91, 69, 92, 64, 87, 65, 88, 60, 83, 61, 84, 56, 79, 57, 80, 52, 75, 53, 76, 48, 71, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.58 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1^7, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 12, 35, 18, 41, 21, 44, 15, 38, 9, 32, 3, 26, 7, 30, 13, 36, 19, 42, 23, 46, 17, 40, 11, 34, 5, 28, 8, 31, 14, 37, 20, 43, 22, 45, 16, 39, 10, 33, 4, 27)(47, 70, 49, 72, 54, 77, 48, 71, 53, 76, 60, 83, 52, 75, 59, 82, 66, 89, 58, 81, 65, 88, 68, 91, 64, 87, 69, 92, 62, 85, 67, 90, 63, 86, 56, 79, 61, 84, 57, 80, 50, 73, 55, 78, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.59 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^-1 * Y2^-3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^-7, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 12, 35, 18, 41, 21, 44, 15, 38, 9, 32, 5, 28, 8, 31, 14, 37, 20, 43, 22, 45, 16, 39, 10, 33, 3, 26, 7, 30, 13, 36, 19, 42, 23, 46, 17, 40, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 50, 73, 56, 79, 61, 84, 57, 80, 62, 85, 67, 90, 63, 86, 68, 91, 64, 87, 69, 92, 66, 89, 58, 81, 65, 88, 60, 83, 52, 75, 59, 82, 54, 77, 48, 71, 53, 76, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.60 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2 * Y1^-4, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 18, 41, 10, 33, 3, 26, 7, 30, 15, 38, 22, 45, 21, 44, 13, 36, 9, 32, 17, 40, 23, 46, 20, 43, 12, 35, 5, 28, 8, 31, 16, 39, 19, 42, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 54, 77, 48, 71, 53, 76, 63, 86, 62, 85, 52, 75, 61, 84, 69, 92, 65, 88, 60, 83, 68, 91, 66, 89, 57, 80, 64, 87, 67, 90, 58, 81, 50, 73, 56, 79, 59, 82, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.61 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2^4, (R * Y2 * Y3^-1)^2, Y1^-5 * Y2^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 21, 44, 12, 35, 5, 28, 8, 31, 16, 39, 22, 45, 18, 41, 9, 32, 13, 36, 17, 40, 23, 46, 19, 42, 10, 33, 3, 26, 7, 30, 15, 38, 20, 43, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 58, 81, 50, 73, 56, 79, 64, 87, 67, 90, 57, 80, 65, 88, 68, 91, 60, 83, 66, 89, 69, 92, 62, 85, 52, 75, 61, 84, 63, 86, 54, 77, 48, 71, 53, 76, 59, 82, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.62 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1^-2 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^4 * Y1^-1 * Y2, Y2 * Y1^4 * Y2^2, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 19, 42, 9, 32, 17, 40, 22, 45, 12, 35, 5, 28, 8, 31, 16, 39, 20, 43, 10, 33, 3, 26, 7, 30, 15, 38, 23, 46, 13, 36, 18, 41, 21, 44, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 67, 90, 62, 85, 52, 75, 61, 84, 68, 91, 57, 80, 66, 89, 60, 83, 69, 92, 58, 81, 50, 73, 56, 79, 65, 88, 59, 82, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.63 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y1^-1 * Y2^2 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-4, Y2^-1 * Y1^3 * Y2^-2 * Y1, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 14, 37, 19, 42, 13, 36, 18, 41, 21, 44, 10, 33, 3, 26, 7, 30, 15, 38, 23, 46, 12, 35, 5, 28, 8, 31, 16, 39, 20, 43, 9, 32, 17, 40, 22, 45, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 65, 88, 58, 81, 50, 73, 56, 79, 66, 89, 60, 83, 69, 92, 57, 80, 67, 90, 62, 85, 52, 75, 61, 84, 68, 91, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 59, 82, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.64 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, 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, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^6 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 13, 36, 15, 38, 20, 43, 22, 45, 16, 39, 18, 41, 10, 33, 3, 26, 7, 30, 12, 35, 5, 28, 8, 31, 14, 37, 19, 42, 21, 44, 23, 46, 17, 40, 9, 32, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 62, 85, 67, 90, 61, 84, 54, 77, 48, 71, 53, 76, 57, 80, 64, 87, 69, 92, 66, 89, 60, 83, 52, 75, 58, 81, 50, 73, 56, 79, 63, 86, 68, 91, 65, 88, 59, 82, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.65 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-6, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 24, 2, 25, 6, 29, 9, 32, 15, 38, 20, 43, 22, 45, 19, 42, 17, 40, 12, 35, 5, 28, 8, 31, 10, 33, 3, 26, 7, 30, 14, 37, 16, 39, 21, 44, 23, 46, 18, 41, 13, 36, 11, 34, 4, 27)(47, 70, 49, 72, 55, 78, 62, 85, 68, 91, 64, 87, 58, 81, 50, 73, 56, 79, 52, 75, 60, 83, 66, 89, 69, 92, 63, 86, 57, 80, 54, 77, 48, 71, 53, 76, 61, 84, 67, 90, 65, 88, 59, 82, 51, 74)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.66 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y2^2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2 * Y1^-11, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 10, 33, 14, 37, 18, 41, 22, 45, 20, 43, 16, 39, 12, 35, 8, 31, 3, 26, 4, 27, 7, 30, 11, 34, 15, 38, 19, 42, 23, 46, 21, 44, 17, 40, 13, 36, 9, 32, 5, 28)(47, 70, 49, 72, 51, 74, 54, 77, 55, 78, 58, 81, 59, 82, 62, 85, 63, 86, 66, 89, 67, 90, 68, 91, 69, 92, 64, 87, 65, 88, 60, 83, 61, 84, 56, 79, 57, 80, 52, 75, 53, 76, 48, 71, 50, 73)
	L = (1, 50)(2, 53)(3, 47)(4, 48)(5, 49)(6, 57)(7, 52)(8, 51)(9, 54)(10, 61)(11, 56)(12, 55)(13, 58)(14, 65)(15, 60)(16, 59)(17, 62)(18, 69)(19, 64)(20, 63)(21, 66)(22, 67)(23, 68)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.97
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.67 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2^-3 * Y1^-1, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^-7, (Y1^-1 * Y3^-1)^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 12, 35, 18, 41, 21, 44, 15, 38, 9, 32, 4, 27, 8, 31, 14, 37, 20, 43, 22, 45, 16, 39, 10, 33, 3, 26, 7, 30, 13, 36, 19, 42, 23, 46, 17, 40, 11, 34, 5, 28)(47, 70, 49, 72, 55, 78, 51, 74, 56, 79, 61, 84, 57, 80, 62, 85, 67, 90, 63, 86, 68, 91, 64, 87, 69, 92, 66, 89, 58, 81, 65, 88, 60, 83, 52, 75, 59, 82, 54, 77, 48, 71, 53, 76, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 53)(5, 55)(6, 60)(7, 48)(8, 59)(9, 49)(10, 51)(11, 61)(12, 66)(13, 52)(14, 65)(15, 56)(16, 57)(17, 67)(18, 68)(19, 58)(20, 69)(21, 62)(22, 63)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.153
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.68 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3 * Y1^-1 * Y2 * Y1, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, Y1^-1 * Y3^-4, Y2^-1 * Y1 * Y2^-3, Y1^5 * Y3 * Y1, Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 18, 41, 10, 33, 3, 26, 7, 30, 15, 38, 22, 45, 19, 42, 11, 34, 9, 32, 17, 40, 23, 46, 20, 43, 12, 35, 4, 27, 8, 31, 16, 39, 21, 44, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 54, 77, 48, 71, 53, 76, 63, 86, 62, 85, 52, 75, 61, 84, 69, 92, 67, 90, 60, 83, 68, 91, 66, 89, 59, 82, 64, 87, 65, 88, 58, 81, 51, 74, 56, 79, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 62)(7, 48)(8, 55)(9, 49)(10, 51)(11, 56)(12, 65)(13, 66)(14, 67)(15, 52)(16, 63)(17, 53)(18, 59)(19, 64)(20, 68)(21, 69)(22, 60)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.81
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.69 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2^-1 * Y3^-1, Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^2 * Y3^-1, Y3^3 * Y1^-1 * Y3, Y1 * Y3^-1 * Y1^5, Y1^-1 * Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y1^-1 * Y3^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 20, 43, 12, 35, 4, 27, 8, 31, 16, 39, 22, 45, 18, 41, 9, 32, 11, 34, 17, 40, 23, 46, 19, 42, 10, 33, 3, 26, 7, 30, 15, 38, 21, 44, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 58, 81, 51, 74, 56, 79, 64, 87, 66, 89, 59, 82, 65, 88, 68, 91, 60, 83, 67, 90, 69, 92, 62, 85, 52, 75, 61, 84, 63, 86, 54, 77, 48, 71, 53, 76, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 62)(7, 48)(8, 63)(9, 49)(10, 51)(11, 53)(12, 55)(13, 66)(14, 68)(15, 52)(16, 69)(17, 61)(18, 56)(19, 59)(20, 64)(21, 60)(22, 65)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.120
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.70 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y1^-1, Y3), (Y1^-1, Y3), (Y2^-1, Y1^-1), Y1 * Y2^-1 * Y1^-1 * Y3^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2 * Y1 * Y3 * Y1^-1, Y2^4 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y2 * Y1, Y1^3 * Y3 * Y1 * Y2^-1 * Y1, Y2 * 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 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^2, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 19, 42, 9, 32, 17, 40, 22, 45, 12, 35, 4, 27, 8, 31, 16, 39, 20, 43, 10, 33, 3, 26, 7, 30, 15, 38, 21, 44, 11, 34, 18, 41, 23, 46, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 69, 92, 62, 85, 52, 75, 61, 84, 68, 91, 59, 82, 66, 89, 60, 83, 67, 90, 58, 81, 51, 74, 56, 79, 65, 88, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 62)(7, 48)(8, 64)(9, 49)(10, 51)(11, 65)(12, 67)(13, 68)(14, 66)(15, 52)(16, 69)(17, 53)(18, 55)(19, 56)(20, 59)(21, 60)(22, 61)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.151
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.71 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1^-1), R * Y2 * R * Y3^-1, Y3^3 * Y1^-1 * Y3^2, Y2^-2 * Y1^-1 * Y2^-3, Y2^3 * Y1^-4, Y1 * Y2^-1 * Y1 * Y3 * Y1^2 * Y2^-1, Y1^2 * Y3^-1 * Y1^3 * Y3^-1, Y1^2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1 * Y2^2 * Y1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 19, 42, 11, 34, 18, 41, 21, 44, 10, 33, 3, 26, 7, 30, 15, 38, 22, 45, 12, 35, 4, 27, 8, 31, 16, 39, 20, 43, 9, 32, 17, 40, 23, 46, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 65, 88, 58, 81, 51, 74, 56, 79, 66, 89, 60, 83, 68, 91, 59, 82, 67, 90, 62, 85, 52, 75, 61, 84, 69, 92, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 62)(7, 48)(8, 64)(9, 49)(10, 51)(11, 63)(12, 65)(13, 68)(14, 66)(15, 52)(16, 67)(17, 53)(18, 69)(19, 55)(20, 56)(21, 59)(22, 60)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.135
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.72 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, (Y1, Y3^-1), (Y2^-1, Y1^-1), Y1^2 * Y2^-1 * Y1^2, Y2^5 * Y1^-1 * Y2, Y3^2 * Y1^-1 * Y3 * Y2^-2 * Y1^-2, (Y1^-1 * Y3^-1)^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 10, 33, 3, 26, 7, 30, 14, 37, 18, 41, 9, 32, 15, 38, 22, 45, 19, 42, 17, 40, 23, 46, 20, 43, 11, 34, 16, 39, 21, 44, 12, 35, 4, 27, 8, 31, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 63, 86, 62, 85, 54, 77, 48, 71, 53, 76, 61, 84, 69, 92, 67, 90, 59, 82, 52, 75, 60, 83, 68, 91, 66, 89, 58, 81, 51, 74, 56, 79, 64, 87, 65, 88, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 59)(7, 48)(8, 62)(9, 49)(10, 51)(11, 65)(12, 66)(13, 67)(14, 52)(15, 53)(16, 63)(17, 55)(18, 56)(19, 64)(20, 68)(21, 69)(22, 60)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.109
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.73 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y2 * Y1^-1 * Y3, R * Y2 * R * Y3^-1, (R * Y1)^2, (Y1, Y2^-1), (Y3, Y1^-1), Y1 * Y3^-1 * Y1^3, Y3^4 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-3 * Y1^-1, Y2^2 * Y1^-1 * Y2 * Y3^-2 * Y1^-2, Y2^23, 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 12, 35, 4, 27, 8, 31, 14, 37, 21, 44, 11, 34, 16, 39, 22, 45, 17, 40, 20, 43, 23, 46, 18, 41, 9, 32, 15, 38, 19, 42, 10, 33, 3, 26, 7, 30, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 63, 86, 67, 90, 58, 81, 51, 74, 56, 79, 64, 87, 68, 91, 60, 83, 52, 75, 59, 82, 65, 88, 69, 92, 62, 85, 54, 77, 48, 71, 53, 76, 61, 84, 66, 89, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 60)(7, 48)(8, 62)(9, 49)(10, 51)(11, 66)(12, 67)(13, 52)(14, 68)(15, 53)(16, 69)(17, 55)(18, 56)(19, 59)(20, 61)(21, 63)(22, 64)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.134
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.74 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1, Y1 * Y2 * Y1 * Y2 * Y1, Y2^4 * Y3^-1 * Y1^-1 * Y2^2, Y3^4 * Y1 * Y2^-3, Y2^2 * Y1^-1 * Y2^3 * Y1^-3, Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3^-4, Y2^-2 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y2^-2 * Y1 * Y3 * Y2^-2 * Y1^2 * Y3, (Y1^-1 * Y2)^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 11, 34, 15, 38, 20, 43, 22, 45, 16, 39, 18, 41, 10, 33, 3, 26, 7, 30, 12, 35, 4, 27, 8, 31, 14, 37, 19, 42, 21, 44, 23, 46, 17, 40, 9, 32, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 62, 85, 67, 90, 61, 84, 54, 77, 48, 71, 53, 76, 59, 82, 64, 87, 69, 92, 66, 89, 60, 83, 52, 75, 58, 81, 51, 74, 56, 79, 63, 86, 68, 91, 65, 88, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 60)(7, 48)(8, 61)(9, 49)(10, 51)(11, 65)(12, 52)(13, 53)(14, 66)(15, 67)(16, 55)(17, 56)(18, 59)(19, 68)(20, 69)(21, 62)(22, 63)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.127
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.75 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1 * Y3 * Y1^-1 * Y2, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y1^2 * Y3 * Y2^-2 * Y1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y3^4 * Y2^-1 * Y1^-1 * Y3^2, Y2^18 * Y1^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 15, 38, 20, 43, 22, 45, 17, 40, 19, 42, 12, 35, 4, 27, 8, 31, 10, 33, 3, 26, 7, 30, 14, 37, 16, 39, 21, 44, 23, 46, 18, 41, 11, 34, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 62, 85, 68, 91, 64, 87, 58, 81, 51, 74, 56, 79, 52, 75, 60, 83, 66, 89, 69, 92, 65, 88, 59, 82, 54, 77, 48, 71, 53, 76, 61, 84, 67, 90, 63, 86, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 56)(7, 48)(8, 59)(9, 49)(10, 51)(11, 63)(12, 64)(13, 65)(14, 52)(15, 53)(16, 55)(17, 67)(18, 68)(19, 69)(20, 60)(21, 61)(22, 62)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.116
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.76 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^-2 * Y3^-1 * Y1^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^-1 * Y1^-1 * Y3^-7, Y2 * Y1 * Y2^3 * Y1 * Y3^-3, Y2^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 3, 26, 7, 30, 12, 35, 9, 32, 13, 36, 18, 41, 15, 38, 19, 42, 22, 45, 21, 44, 23, 46, 16, 39, 20, 43, 17, 40, 10, 33, 14, 37, 11, 34, 4, 27, 8, 31, 5, 28)(47, 70, 49, 72, 55, 78, 61, 84, 67, 90, 66, 89, 60, 83, 54, 77, 48, 71, 53, 76, 59, 82, 65, 88, 69, 92, 63, 86, 57, 80, 51, 74, 52, 75, 58, 81, 64, 87, 68, 91, 62, 85, 56, 79, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 56)(5, 57)(6, 51)(7, 48)(8, 60)(9, 49)(10, 62)(11, 63)(12, 52)(13, 53)(14, 66)(15, 55)(16, 68)(17, 69)(18, 58)(19, 59)(20, 67)(21, 61)(22, 64)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.128
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.77 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y1 * Y3^-1 * Y1^2, (Y3^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, (Y1, Y2^-1), Y3 * Y1^-1 * Y3^7, Y2^2 * Y1 * Y2^2 * Y3^-4, Y2^23, (Y1^-1 * Y3^-1)^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 4, 27, 8, 31, 12, 35, 11, 34, 14, 37, 18, 41, 17, 40, 20, 43, 21, 44, 23, 46, 22, 45, 15, 38, 19, 42, 16, 39, 9, 32, 13, 36, 10, 33, 3, 26, 7, 30, 5, 28)(47, 70, 49, 72, 55, 78, 61, 84, 67, 90, 64, 87, 58, 81, 52, 75, 51, 74, 56, 79, 62, 85, 68, 91, 66, 89, 60, 83, 54, 77, 48, 71, 53, 76, 59, 82, 65, 88, 69, 92, 63, 86, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 52)(6, 58)(7, 48)(8, 60)(9, 49)(10, 51)(11, 63)(12, 64)(13, 53)(14, 66)(15, 55)(16, 56)(17, 69)(18, 67)(19, 59)(20, 68)(21, 61)(22, 62)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.141
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.78 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-4, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3^-1 * Y2^2 * Y1 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y2^-2 * Y1^2, Y2^2 * Y1 * Y2 * Y3^-2 * Y1, Y2^23, Y3^-1 * Y2^-4 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 12, 35, 4, 27, 8, 31, 16, 39, 19, 42, 23, 46, 11, 34, 18, 41, 20, 43, 9, 32, 17, 40, 22, 45, 21, 44, 10, 33, 3, 26, 7, 30, 15, 38, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 65, 88, 60, 83, 59, 82, 67, 90, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 69, 92, 58, 81, 51, 74, 56, 79, 66, 89, 62, 85, 52, 75, 61, 84, 68, 91, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 62)(7, 48)(8, 64)(9, 49)(10, 51)(11, 68)(12, 69)(13, 60)(14, 65)(15, 52)(16, 66)(17, 53)(18, 67)(19, 55)(20, 56)(21, 59)(22, 61)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.102
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.79 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (Y3^-1, Y1^-1), Y1 * Y3 * Y1^-1 * Y2, (R * Y3)^2, Y1 * Y2 * Y1^-1 * Y3, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-4, Y1^2 * Y3^-1 * Y1 * Y3^-3, Y1 * Y2^-2 * Y1 * Y2^-3, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2, Y2^23, Y1^-1 * Y2 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 10, 33, 3, 26, 7, 30, 15, 38, 21, 44, 20, 43, 9, 32, 17, 40, 22, 45, 11, 34, 18, 41, 19, 42, 23, 46, 12, 35, 4, 27, 8, 31, 16, 39, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 65, 88, 62, 85, 52, 75, 61, 84, 68, 91, 58, 81, 51, 74, 56, 79, 66, 89, 64, 87, 54, 77, 48, 71, 53, 76, 63, 86, 69, 92, 59, 82, 60, 83, 67, 90, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 62)(7, 48)(8, 64)(9, 49)(10, 51)(11, 67)(12, 68)(13, 69)(14, 59)(15, 52)(16, 65)(17, 53)(18, 66)(19, 55)(20, 56)(21, 60)(22, 61)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.154
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.80 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3 * Y2, (R * Y1)^2, (Y3^-1, Y1^-1), R * Y2 * R * Y3^-1, (Y1, Y2^-1), Y1 * Y2 * Y1 * Y2^2, Y3^-1 * Y1 * Y3^-2 * Y1, Y1^-1 * Y2 * Y1^-6, (Y1^-1 * Y3^-1)^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 20, 43, 18, 41, 10, 33, 3, 26, 7, 30, 11, 34, 16, 39, 22, 45, 23, 46, 17, 40, 9, 32, 12, 35, 4, 27, 8, 31, 15, 38, 21, 44, 19, 42, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 59, 82, 64, 87, 69, 92, 67, 90, 60, 83, 62, 85, 54, 77, 48, 71, 53, 76, 58, 81, 51, 74, 56, 79, 63, 86, 65, 88, 66, 89, 68, 91, 61, 84, 52, 75, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 61)(7, 48)(8, 62)(9, 49)(10, 51)(11, 52)(12, 53)(13, 55)(14, 67)(15, 68)(16, 60)(17, 56)(18, 59)(19, 63)(20, 65)(21, 69)(22, 66)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.139
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.81 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y1, Y2^-1), (Y1, Y3^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, Y1 * Y3 * Y1 * Y3^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1^-6, Y1^-1 * Y3^10, Y2^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 14, 37, 20, 43, 18, 41, 12, 35, 4, 27, 8, 31, 9, 32, 16, 39, 22, 45, 23, 46, 17, 40, 11, 34, 10, 33, 3, 26, 7, 30, 15, 38, 21, 44, 19, 42, 13, 36, 5, 28)(47, 70, 49, 72, 55, 78, 52, 75, 61, 84, 68, 91, 66, 89, 65, 88, 63, 86, 58, 81, 51, 74, 56, 79, 54, 77, 48, 71, 53, 76, 62, 85, 60, 83, 67, 90, 69, 92, 64, 87, 59, 82, 57, 80, 50, 73)
	L = (1, 50)(2, 54)(3, 47)(4, 57)(5, 58)(6, 55)(7, 48)(8, 56)(9, 49)(10, 51)(11, 59)(12, 63)(13, 64)(14, 62)(15, 52)(16, 53)(17, 65)(18, 69)(19, 66)(20, 68)(21, 60)(22, 61)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.68
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.82 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y2 * Y1^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-11, (Y3^-1 * Y1^-1)^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 4, 27, 6, 29, 9, 32, 10, 33, 13, 36, 14, 37, 17, 40, 18, 41, 21, 44, 22, 45, 23, 46, 19, 42, 20, 43, 15, 38, 16, 39, 11, 34, 12, 35, 7, 30, 8, 31, 3, 26, 5, 28)(47, 70, 49, 72, 53, 76, 57, 80, 61, 84, 65, 88, 68, 91, 64, 87, 60, 83, 56, 79, 52, 75, 48, 71, 51, 74, 54, 77, 58, 81, 62, 85, 66, 89, 69, 92, 67, 90, 63, 86, 59, 82, 55, 78, 50, 73)
	L = (1, 50)(2, 52)(3, 47)(4, 55)(5, 48)(6, 56)(7, 49)(8, 51)(9, 59)(10, 60)(11, 53)(12, 54)(13, 63)(14, 64)(15, 57)(16, 58)(17, 67)(18, 68)(19, 61)(20, 62)(21, 69)(22, 65)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.155
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.83 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^2 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3^-1, Y1 * Y3^-11, Y3^-6 * Y2^17, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 6, 29, 7, 30, 10, 33, 11, 34, 14, 37, 15, 38, 18, 41, 19, 42, 22, 45, 23, 46, 20, 43, 21, 44, 16, 39, 17, 40, 12, 35, 13, 36, 8, 31, 9, 32, 4, 27, 5, 28)(47, 70, 49, 72, 53, 76, 57, 80, 61, 84, 65, 88, 69, 92, 67, 90, 63, 86, 59, 82, 55, 78, 51, 74, 48, 71, 52, 75, 56, 79, 60, 83, 64, 87, 68, 91, 66, 89, 62, 85, 58, 81, 54, 77, 50, 73)
	L = (1, 50)(2, 51)(3, 47)(4, 54)(5, 55)(6, 48)(7, 49)(8, 58)(9, 59)(10, 52)(11, 53)(12, 62)(13, 63)(14, 56)(15, 57)(16, 66)(17, 67)(18, 60)(19, 61)(20, 68)(21, 69)(22, 64)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.86
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.84 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y1^-1 * Y2 * Y3, Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4 * Y3 * Y1^3, Y1 * Y3^10, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 14, 37, 20, 43, 19, 42, 13, 36, 7, 30, 3, 26, 9, 32, 15, 38, 21, 44, 23, 46, 18, 41, 12, 35, 6, 29, 4, 27, 10, 33, 16, 39, 22, 45, 17, 40, 11, 34, 5, 28)(47, 70, 49, 72, 50, 73, 48, 71, 55, 78, 56, 79, 54, 77, 61, 84, 62, 85, 60, 83, 67, 90, 68, 91, 66, 89, 69, 92, 63, 86, 65, 88, 64, 87, 57, 80, 59, 82, 58, 81, 51, 74, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 48)(4, 55)(5, 52)(6, 49)(7, 47)(8, 62)(9, 54)(10, 61)(11, 58)(12, 53)(13, 51)(14, 68)(15, 60)(16, 67)(17, 64)(18, 59)(19, 57)(20, 63)(21, 66)(22, 69)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.88
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.85 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2^-2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2 * Y1^-1, Y1^6 * Y2^-1, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 16, 39, 20, 43, 12, 35, 3, 26, 9, 32, 17, 40, 23, 46, 15, 38, 7, 30, 4, 27, 10, 33, 18, 41, 22, 45, 14, 37, 6, 29, 11, 34, 19, 42, 21, 44, 13, 36, 5, 28)(47, 70, 49, 72, 50, 73, 57, 80, 48, 71, 55, 78, 56, 79, 65, 88, 54, 77, 63, 86, 64, 87, 67, 90, 62, 85, 69, 92, 68, 91, 59, 82, 66, 89, 61, 84, 60, 83, 51, 74, 58, 81, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 57)(4, 48)(5, 53)(6, 49)(7, 47)(8, 64)(9, 65)(10, 54)(11, 55)(12, 52)(13, 61)(14, 58)(15, 51)(16, 68)(17, 67)(18, 62)(19, 63)(20, 60)(21, 69)(22, 66)(23, 59)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.90
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.86 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, Y2^-2 * Y3, Y1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-6 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 16, 39, 20, 43, 12, 35, 6, 29, 10, 33, 18, 41, 22, 45, 14, 37, 4, 27, 7, 30, 11, 34, 19, 42, 21, 44, 13, 36, 3, 26, 9, 32, 17, 40, 23, 46, 15, 38, 5, 28)(47, 70, 49, 72, 50, 73, 58, 81, 51, 74, 59, 82, 60, 83, 66, 89, 61, 84, 67, 90, 68, 91, 62, 85, 69, 92, 65, 88, 64, 87, 54, 77, 63, 86, 57, 80, 56, 79, 48, 71, 55, 78, 53, 76, 52, 75)
	L = (1, 50)(2, 53)(3, 58)(4, 51)(5, 60)(6, 49)(7, 47)(8, 57)(9, 52)(10, 55)(11, 48)(12, 59)(13, 66)(14, 61)(15, 68)(16, 65)(17, 56)(18, 63)(19, 54)(20, 67)(21, 62)(22, 69)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.83
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.87 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^-1 * Y2^-1 * Y1 * Y3^-1, (Y3^-1, Y1), Y1^-1 * Y3 * Y2 * Y3, Y3^2 * Y2 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, Y3^-1 * Y1^-2 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y3^-1, Y1^-1 * Y2^2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 14, 37, 4, 27, 10, 33, 20, 43, 16, 39, 6, 29, 11, 34, 21, 44, 23, 46, 13, 36, 3, 26, 9, 32, 19, 42, 17, 40, 7, 30, 12, 35, 22, 45, 15, 38, 5, 28)(47, 70, 49, 72, 50, 73, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 68, 91, 67, 90, 54, 77, 65, 88, 66, 89, 61, 84, 69, 92, 64, 87, 63, 86, 62, 85, 51, 74, 59, 82, 60, 83, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 58)(4, 57)(5, 60)(6, 49)(7, 47)(8, 66)(9, 68)(10, 67)(11, 55)(12, 48)(13, 53)(14, 52)(15, 64)(16, 59)(17, 51)(18, 62)(19, 61)(20, 69)(21, 65)(22, 54)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.92
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.88 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-2, (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-3, Y2^-1 * Y1^-1 * Y3^7 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 13, 36, 7, 30, 12, 35, 22, 45, 14, 37, 3, 26, 9, 32, 19, 42, 23, 46, 15, 38, 6, 29, 11, 34, 21, 44, 16, 39, 4, 27, 10, 33, 20, 43, 17, 40, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 51, 74, 60, 83, 62, 85, 64, 87, 69, 92, 63, 86, 68, 91, 67, 90, 54, 77, 65, 88, 66, 89, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 66)(9, 53)(10, 52)(11, 55)(12, 48)(13, 51)(14, 64)(15, 60)(16, 69)(17, 67)(18, 63)(19, 58)(20, 57)(21, 65)(22, 54)(23, 68)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.84
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.89 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y3^-2 * Y1 * Y3^-1, (Y3, Y1), (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1^-3, Y1 * Y2 * Y1 * Y3^2 * Y1, Y3^-2 * Y1^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 14, 37, 3, 26, 9, 32, 20, 43, 15, 38, 4, 27, 10, 33, 21, 44, 19, 42, 13, 36, 23, 46, 18, 41, 7, 30, 12, 35, 22, 45, 17, 40, 6, 29, 11, 34, 16, 39, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 69, 92, 68, 91, 62, 85, 54, 77, 66, 89, 67, 90, 64, 87, 63, 86, 51, 74, 60, 83, 61, 84, 65, 88, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 58)(5, 61)(6, 49)(7, 47)(8, 67)(9, 69)(10, 68)(11, 55)(12, 48)(13, 57)(14, 65)(15, 53)(16, 66)(17, 60)(18, 51)(19, 52)(20, 64)(21, 63)(22, 54)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.94
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.90 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1 * Y3^3, Y3^3 * Y1, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y3^2 * Y2 * Y1, Y2^-1 * Y1^-4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 6, 29, 11, 34, 21, 44, 15, 38, 7, 30, 12, 35, 22, 45, 13, 36, 19, 42, 23, 46, 16, 39, 4, 27, 10, 33, 20, 43, 14, 37, 3, 26, 9, 32, 17, 40, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 64, 87, 51, 74, 60, 83, 62, 85, 68, 91, 67, 90, 54, 77, 63, 86, 66, 89, 69, 92, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 65, 88, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 66)(9, 65)(10, 53)(11, 55)(12, 48)(13, 64)(14, 68)(15, 51)(16, 67)(17, 69)(18, 60)(19, 52)(20, 58)(21, 63)(22, 54)(23, 57)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.85
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.91 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y3^-1, Y2^-1), Y1^-3 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^-3, Y2 * Y1 * Y2 * Y1^2, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 7, 30, 12, 35, 21, 44, 19, 42, 13, 36, 22, 45, 14, 37, 3, 26, 9, 32, 17, 40, 6, 29, 11, 34, 20, 43, 18, 41, 15, 38, 23, 46, 16, 39, 4, 27, 10, 33, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 68, 91, 69, 92, 67, 90, 66, 89, 54, 77, 63, 86, 51, 74, 60, 83, 62, 85, 65, 88, 64, 87, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 51)(9, 68)(10, 69)(11, 55)(12, 48)(13, 58)(14, 65)(15, 57)(16, 64)(17, 60)(18, 52)(19, 53)(20, 63)(21, 54)(22, 67)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.96
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.92 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y3^-1, Y2^-1), Y3^-1 * Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), Y2 * Y3^3 * Y1, Y1^-1 * Y2 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 4, 27, 10, 33, 21, 44, 15, 38, 18, 41, 22, 45, 16, 39, 6, 29, 11, 34, 14, 37, 3, 26, 9, 32, 20, 43, 13, 36, 19, 42, 23, 46, 17, 40, 7, 30, 12, 35, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 63, 86, 62, 85, 51, 74, 60, 83, 54, 77, 66, 89, 67, 90, 69, 92, 68, 91, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 65, 88, 64, 87, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 54)(6, 49)(7, 47)(8, 67)(9, 65)(10, 64)(11, 55)(12, 48)(13, 63)(14, 66)(15, 62)(16, 60)(17, 51)(18, 52)(19, 53)(20, 69)(21, 68)(22, 57)(23, 58)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.87
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.93 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^-1 * Y2 * Y1^-2, (Y1, Y2), (R * Y2)^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y3^4 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 3, 26, 9, 32, 15, 38, 4, 27, 10, 33, 20, 43, 13, 36, 21, 44, 19, 42, 14, 37, 22, 45, 18, 41, 23, 46, 17, 40, 7, 30, 12, 35, 16, 39, 6, 29, 11, 34, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 60, 83, 69, 92, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 67, 90, 68, 91, 63, 86, 62, 85, 51, 74, 54, 77, 61, 84, 66, 89, 65, 88, 64, 87, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 60)(5, 61)(6, 49)(7, 47)(8, 66)(9, 67)(10, 68)(11, 55)(12, 48)(13, 69)(14, 58)(15, 65)(16, 54)(17, 51)(18, 52)(19, 53)(20, 64)(21, 63)(22, 62)(23, 57)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.98
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y1^3 * Y2, Y1^-3 * Y2^-1, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3^-4, Y3^2 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 6, 29, 11, 34, 17, 40, 7, 30, 12, 35, 20, 43, 18, 41, 22, 45, 15, 38, 19, 42, 23, 46, 13, 36, 21, 44, 16, 39, 4, 27, 10, 33, 14, 37, 3, 26, 9, 32, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 66, 89, 63, 86, 54, 77, 51, 74, 60, 83, 62, 85, 69, 92, 68, 91, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 67, 90, 65, 88, 64, 87, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 60)(9, 67)(10, 65)(11, 55)(12, 48)(13, 66)(14, 69)(15, 63)(16, 68)(17, 51)(18, 52)(19, 53)(20, 54)(21, 64)(22, 57)(23, 58)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.89
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (Y1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), Y3^-2 * Y2^-1 * Y1^-2, Y3^2 * Y1^-3, Y3^11 * Y2, Y3^11 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 15, 38, 18, 41, 6, 29, 11, 34, 22, 45, 13, 36, 19, 42, 7, 30, 12, 35, 16, 39, 4, 27, 10, 33, 20, 43, 23, 46, 14, 37, 3, 26, 9, 32, 21, 44, 17, 40, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 63, 86, 69, 92, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 65, 88, 64, 87, 51, 74, 60, 83, 62, 85, 68, 91, 54, 77, 67, 90, 66, 89, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 66)(9, 65)(10, 64)(11, 55)(12, 48)(13, 63)(14, 68)(15, 69)(16, 54)(17, 58)(18, 60)(19, 51)(20, 52)(21, 53)(22, 67)(23, 57)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.99
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^2 * Y1^-2 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y1^5 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 21, 44, 14, 37, 3, 26, 9, 32, 22, 45, 20, 43, 16, 39, 4, 27, 10, 33, 19, 42, 7, 30, 12, 35, 13, 36, 23, 46, 18, 41, 6, 29, 11, 34, 15, 38, 17, 40, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 54, 77, 68, 91, 65, 88, 64, 87, 51, 74, 60, 83, 62, 85, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 69, 92, 63, 86, 67, 90, 66, 89, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 65)(9, 69)(10, 63)(11, 55)(12, 48)(13, 54)(14, 58)(15, 68)(16, 57)(17, 66)(18, 60)(19, 51)(20, 52)(21, 53)(22, 64)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.91
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3^-1 * Y2^-1 * Y1^-2, (Y1^-1, Y2), (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 23, 46, 15, 38, 14, 37, 3, 26, 9, 32, 7, 30, 12, 35, 19, 42, 21, 44, 16, 39, 4, 27, 10, 33, 6, 29, 11, 34, 17, 40, 20, 43, 22, 45, 13, 36, 5, 28)(47, 70, 49, 72, 50, 73, 59, 82, 61, 84, 67, 90, 66, 89, 64, 87, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 51, 74, 60, 83, 62, 85, 68, 91, 69, 92, 65, 88, 63, 86, 54, 77, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 61)(5, 62)(6, 49)(7, 47)(8, 52)(9, 51)(10, 60)(11, 55)(12, 48)(13, 67)(14, 68)(15, 66)(16, 69)(17, 53)(18, 57)(19, 54)(20, 58)(21, 64)(22, 65)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.66
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (Y1^-1, Y3^-1), Y3^-1 * Y1^2 * Y2^-1, Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-5, Y3^2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 21, 44, 17, 40, 15, 38, 6, 29, 11, 34, 4, 27, 10, 33, 19, 42, 23, 46, 16, 39, 7, 30, 12, 35, 3, 26, 9, 32, 13, 36, 20, 43, 22, 45, 14, 37, 5, 28)(47, 70, 49, 72, 50, 73, 54, 77, 59, 82, 65, 88, 67, 90, 68, 91, 62, 85, 61, 84, 51, 74, 58, 81, 57, 80, 48, 71, 55, 78, 56, 79, 64, 87, 66, 89, 69, 92, 63, 86, 60, 83, 53, 76, 52, 75)
	L = (1, 50)(2, 56)(3, 54)(4, 59)(5, 57)(6, 49)(7, 47)(8, 65)(9, 64)(10, 66)(11, 55)(12, 48)(13, 67)(14, 52)(15, 58)(16, 51)(17, 53)(18, 69)(19, 68)(20, 63)(21, 62)(22, 61)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.93
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1, Y2^-2 * Y3, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1 * Y3^4 * Y2, (Y1^-1 * Y3^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 4, 27, 9, 32, 11, 34, 16, 39, 12, 35, 17, 40, 19, 42, 23, 46, 20, 43, 22, 45, 21, 44, 15, 38, 18, 41, 14, 37, 13, 36, 7, 30, 10, 33, 6, 29, 5, 28)(47, 70, 49, 72, 50, 73, 57, 80, 58, 81, 65, 88, 66, 89, 67, 90, 64, 87, 59, 82, 56, 79, 51, 74, 48, 71, 54, 77, 55, 78, 62, 85, 63, 86, 69, 92, 68, 91, 61, 84, 60, 83, 53, 76, 52, 75)
	L = (1, 50)(2, 55)(3, 57)(4, 58)(5, 54)(6, 49)(7, 47)(8, 62)(9, 63)(10, 48)(11, 65)(12, 66)(13, 51)(14, 52)(15, 53)(16, 69)(17, 68)(18, 56)(19, 67)(20, 64)(21, 59)(22, 60)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.95
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y3 * Y2^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-6 * Y2^-1, Y1^3 * Y3 * Y1^2 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 16, 39, 21, 44, 13, 36, 6, 29, 11, 34, 19, 42, 23, 46, 15, 38, 7, 30, 4, 27, 10, 33, 18, 41, 20, 43, 12, 35, 3, 26, 9, 32, 17, 40, 22, 45, 14, 37, 5, 28)(47, 70, 49, 72, 53, 76, 59, 82, 51, 74, 58, 81, 61, 84, 67, 90, 60, 83, 66, 89, 69, 92, 62, 85, 68, 91, 64, 87, 65, 88, 54, 77, 63, 86, 56, 79, 57, 80, 48, 71, 55, 78, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 48)(5, 53)(6, 55)(7, 47)(8, 64)(9, 57)(10, 54)(11, 63)(12, 59)(13, 49)(14, 61)(15, 51)(16, 66)(17, 65)(18, 62)(19, 68)(20, 67)(21, 58)(22, 69)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.148
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, (Y2^-1, Y1), Y2 * Y3^-1 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^2 * Y2^-1 * Y3 * Y1^2, Y1^-1 * Y2 * Y3^-6 * Y1^-1, 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^-2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 14, 37, 4, 27, 10, 33, 20, 43, 13, 36, 3, 26, 9, 32, 19, 42, 23, 46, 16, 39, 6, 29, 11, 34, 21, 44, 17, 40, 7, 30, 12, 35, 22, 45, 15, 38, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 62, 85, 51, 74, 59, 82, 63, 86, 64, 87, 69, 92, 61, 84, 66, 89, 67, 90, 54, 77, 65, 88, 68, 91, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 55)(5, 60)(6, 58)(7, 47)(8, 66)(9, 57)(10, 65)(11, 68)(12, 48)(13, 62)(14, 49)(15, 64)(16, 53)(17, 51)(18, 59)(19, 67)(20, 69)(21, 61)(22, 54)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.126
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y1 * Y3^3, Y1^-1 * Y3^-3, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y2^-2 * Y1, Y1^-1 * Y2 * Y1^-3, Y3 * Y1^-2 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 13, 36, 3, 26, 9, 32, 20, 43, 15, 38, 7, 30, 12, 35, 22, 45, 17, 40, 14, 37, 23, 46, 16, 39, 4, 27, 10, 33, 21, 44, 19, 42, 6, 29, 11, 34, 18, 41, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 69, 92, 67, 90, 64, 87, 54, 77, 66, 89, 68, 91, 62, 85, 65, 88, 51, 74, 59, 82, 61, 84, 63, 86, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 62)(6, 63)(7, 47)(8, 67)(9, 57)(10, 53)(11, 60)(12, 48)(13, 65)(14, 49)(15, 51)(16, 66)(17, 59)(18, 69)(19, 68)(20, 64)(21, 58)(22, 54)(23, 55)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.78
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y1^-1 * Y3^3, (Y3, Y1), (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-4, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3^-2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 6, 29, 11, 34, 21, 44, 15, 38, 4, 27, 10, 33, 20, 43, 14, 37, 16, 39, 23, 46, 19, 42, 7, 30, 12, 35, 22, 45, 13, 36, 3, 26, 9, 32, 17, 40, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 61, 84, 64, 87, 51, 74, 59, 82, 65, 88, 66, 89, 67, 90, 54, 77, 63, 86, 68, 91, 69, 92, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 62, 85, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 58)(5, 61)(6, 62)(7, 47)(8, 66)(9, 57)(10, 68)(11, 69)(12, 48)(13, 64)(14, 49)(15, 53)(16, 55)(17, 67)(18, 60)(19, 51)(20, 59)(21, 65)(22, 54)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.114
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, (Y1^-1, Y3^-1), Y3 * Y1^-3, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y3^-1 * Y1^-1 * Y2^-2 * Y1, Y2^-1 * Y3^3 * Y1, Y2 * Y1^2 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 4, 27, 10, 33, 20, 43, 15, 38, 14, 37, 22, 45, 13, 36, 3, 26, 9, 32, 17, 40, 6, 29, 11, 34, 21, 44, 16, 39, 19, 42, 23, 46, 18, 41, 7, 30, 12, 35, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 65, 88, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 68, 91, 69, 92, 66, 89, 67, 90, 54, 77, 63, 86, 51, 74, 59, 82, 64, 87, 61, 84, 62, 85, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 54)(6, 62)(7, 47)(8, 66)(9, 57)(10, 60)(11, 65)(12, 48)(13, 63)(14, 49)(15, 59)(16, 64)(17, 67)(18, 51)(19, 53)(20, 68)(21, 69)(22, 55)(23, 58)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.150
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, (Y2^-1, Y3), Y1^-1 * Y3^-1 * Y1^-2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3 * Y1^3, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y3^-3, Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2, Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 7, 30, 12, 35, 21, 44, 19, 42, 17, 40, 23, 46, 18, 41, 6, 29, 11, 34, 13, 36, 3, 26, 9, 32, 20, 43, 14, 37, 15, 38, 22, 45, 16, 39, 4, 27, 10, 33, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 65, 88, 62, 85, 64, 87, 51, 74, 59, 82, 54, 77, 66, 89, 67, 90, 68, 91, 69, 92, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 61, 84, 63, 86, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 62)(6, 63)(7, 47)(8, 51)(9, 57)(10, 68)(11, 69)(12, 48)(13, 64)(14, 49)(15, 55)(16, 60)(17, 58)(18, 65)(19, 53)(20, 59)(21, 54)(22, 66)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.140
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, (Y2, Y1), Y1^-3 * Y2, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-4 * Y1^-1, Y3 * Y1^2 * Y2 * Y1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 3, 26, 9, 32, 18, 41, 7, 30, 12, 35, 20, 43, 13, 36, 21, 44, 14, 37, 19, 42, 23, 46, 16, 39, 22, 45, 15, 38, 4, 27, 10, 33, 17, 40, 6, 29, 11, 34, 5, 28)(47, 70, 49, 72, 53, 76, 59, 82, 65, 88, 68, 91, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 67, 90, 69, 92, 61, 84, 63, 86, 51, 74, 54, 77, 64, 87, 66, 89, 60, 83, 62, 85, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 60)(5, 61)(6, 62)(7, 47)(8, 63)(9, 57)(10, 65)(11, 68)(12, 48)(13, 49)(14, 64)(15, 67)(16, 66)(17, 69)(18, 51)(19, 53)(20, 54)(21, 55)(22, 59)(23, 58)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.131
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-2, Y1^-1 * Y2^-1 * Y1^-2, (Y1, Y3^-1), (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^4, Y3^-1 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, Y1 * Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-2, Y3^2 * 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, 24, 2, 25, 8, 31, 6, 29, 11, 34, 16, 39, 4, 27, 10, 33, 20, 43, 17, 40, 23, 46, 19, 42, 15, 38, 22, 45, 14, 37, 21, 44, 18, 41, 7, 30, 12, 35, 13, 36, 3, 26, 9, 32, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 65, 88, 66, 89, 62, 85, 54, 77, 51, 74, 59, 82, 64, 87, 68, 91, 69, 92, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 67, 90, 61, 84, 63, 86, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 62)(6, 63)(7, 47)(8, 66)(9, 57)(10, 68)(11, 69)(12, 48)(13, 54)(14, 49)(15, 58)(16, 65)(17, 67)(18, 51)(19, 53)(20, 60)(21, 55)(22, 59)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.144
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y3^-1 * Y2^-2, (R * Y2)^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), Y3^2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-11 * Y2, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 21, 44, 19, 42, 6, 29, 11, 34, 22, 45, 14, 37, 16, 39, 4, 27, 10, 33, 20, 43, 7, 30, 12, 35, 17, 40, 23, 46, 13, 36, 3, 26, 9, 32, 15, 38, 18, 41, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 67, 90, 64, 87, 69, 92, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 62, 85, 65, 88, 51, 74, 59, 82, 66, 89, 68, 91, 54, 77, 61, 84, 63, 86, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 62)(6, 63)(7, 47)(8, 66)(9, 57)(10, 64)(11, 69)(12, 48)(13, 65)(14, 49)(15, 68)(16, 55)(17, 54)(18, 60)(19, 58)(20, 51)(21, 53)(22, 59)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.110
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y3^-1, Y1), (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1^-3, Y1 * Y2^-1 * Y1 * Y3^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3^11 * Y2^-1, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 15, 38, 13, 36, 3, 26, 9, 32, 22, 45, 17, 40, 20, 43, 7, 30, 12, 35, 16, 39, 4, 27, 10, 33, 14, 37, 23, 46, 19, 42, 6, 29, 11, 34, 21, 44, 18, 41, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 67, 90, 54, 77, 68, 91, 62, 85, 65, 88, 51, 74, 59, 82, 66, 89, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 69, 92, 64, 87, 61, 84, 63, 86, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 62)(6, 63)(7, 47)(8, 60)(9, 57)(10, 59)(11, 66)(12, 48)(13, 65)(14, 49)(15, 69)(16, 54)(17, 64)(18, 58)(19, 68)(20, 51)(21, 53)(22, 67)(23, 55)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.72
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y1^2 * Y3^-1 * Y2, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y1, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y1^2 * Y3^-1 * Y2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1^-1 * Y3^-5, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, 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 * Y3^2, Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 23, 46, 17, 40, 13, 36, 3, 26, 9, 32, 4, 27, 10, 33, 19, 42, 22, 45, 16, 39, 7, 30, 12, 35, 6, 29, 11, 34, 15, 38, 20, 43, 21, 44, 14, 37, 5, 28)(47, 70, 49, 72, 53, 76, 60, 83, 63, 86, 68, 91, 66, 89, 64, 87, 56, 79, 57, 80, 48, 71, 55, 78, 58, 81, 51, 74, 59, 82, 62, 85, 67, 90, 69, 92, 65, 88, 61, 84, 54, 77, 50, 73, 52, 75)
	L = (1, 50)(2, 56)(3, 52)(4, 61)(5, 55)(6, 54)(7, 47)(8, 65)(9, 57)(10, 66)(11, 64)(12, 48)(13, 58)(14, 49)(15, 69)(16, 51)(17, 53)(18, 68)(19, 67)(20, 63)(21, 59)(22, 60)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.108
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y3 * Y2^2, Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^6 * Y1^-1, Y1 * Y3^2 * Y2^-1 * Y3^3, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 4, 27, 8, 31, 13, 36, 17, 40, 12, 35, 16, 39, 21, 44, 23, 46, 20, 43, 19, 42, 22, 45, 15, 38, 18, 41, 11, 34, 14, 37, 7, 30, 10, 33, 3, 26, 5, 28)(47, 70, 49, 72, 53, 76, 57, 80, 61, 84, 65, 88, 69, 92, 62, 85, 63, 86, 54, 77, 55, 78, 48, 71, 51, 74, 56, 79, 60, 83, 64, 87, 68, 91, 66, 89, 67, 90, 58, 81, 59, 82, 50, 73, 52, 75)
	L = (1, 50)(2, 54)(3, 52)(4, 58)(5, 55)(6, 59)(7, 47)(8, 62)(9, 63)(10, 48)(11, 49)(12, 66)(13, 67)(14, 51)(15, 53)(16, 65)(17, 69)(18, 56)(19, 57)(20, 64)(21, 68)(22, 60)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.145
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^-2 * Y2, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3^-4 * 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 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 7, 30, 10, 33, 11, 34, 16, 39, 15, 38, 18, 41, 19, 42, 20, 43, 23, 46, 22, 45, 21, 44, 12, 35, 17, 40, 14, 37, 13, 36, 4, 27, 9, 32, 6, 29, 5, 28)(47, 70, 49, 72, 53, 76, 57, 80, 61, 84, 65, 88, 69, 92, 67, 90, 63, 86, 59, 82, 55, 78, 51, 74, 48, 71, 54, 77, 56, 79, 62, 85, 64, 87, 66, 89, 68, 91, 58, 81, 60, 83, 50, 73, 52, 75)
	L = (1, 50)(2, 55)(3, 52)(4, 58)(5, 59)(6, 60)(7, 47)(8, 51)(9, 63)(10, 48)(11, 49)(12, 66)(13, 67)(14, 68)(15, 53)(16, 54)(17, 69)(18, 56)(19, 57)(20, 62)(21, 65)(22, 64)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.130
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y2, (R * Y2)^2, Y2^-2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y1^-1 * Y2^-1, Y1^2 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 16, 39, 7, 30, 3, 26, 9, 32, 19, 42, 23, 46, 17, 40, 12, 35, 11, 34, 13, 36, 21, 44, 22, 45, 15, 38, 6, 29, 4, 27, 10, 33, 20, 43, 14, 37, 5, 28)(47, 70, 49, 72, 57, 80, 50, 73, 48, 71, 55, 78, 59, 82, 56, 79, 54, 77, 65, 88, 67, 90, 66, 89, 64, 87, 69, 92, 68, 91, 60, 83, 62, 85, 63, 86, 61, 84, 51, 74, 53, 76, 58, 81, 52, 75)
	L = (1, 50)(2, 56)(3, 48)(4, 59)(5, 52)(6, 57)(7, 47)(8, 66)(9, 54)(10, 67)(11, 55)(12, 49)(13, 65)(14, 61)(15, 58)(16, 51)(17, 53)(18, 60)(19, 64)(20, 68)(21, 69)(22, 63)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.118
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2 * Y2, Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y1^-1, Y1^-1 * Y3^2 * Y2^-1, Y2^-2 * Y3 * Y2^-1, (Y2, Y1^-1), Y2^2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1, Y1^-1), (R * Y3)^2, Y1 * Y3 * Y1^3, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 17, 40, 7, 30, 12, 35, 20, 43, 23, 46, 16, 39, 6, 29, 11, 34, 19, 42, 21, 44, 13, 36, 3, 26, 9, 32, 18, 41, 22, 45, 14, 37, 4, 27, 10, 33, 15, 38, 5, 28)(47, 70, 49, 72, 58, 81, 50, 73, 57, 80, 48, 71, 55, 78, 66, 89, 56, 79, 65, 88, 54, 77, 64, 87, 69, 92, 61, 84, 67, 90, 63, 86, 68, 91, 62, 85, 51, 74, 59, 82, 53, 76, 60, 83, 52, 75)
	L = (1, 50)(2, 56)(3, 57)(4, 55)(5, 60)(6, 58)(7, 47)(8, 61)(9, 65)(10, 64)(11, 66)(12, 48)(13, 52)(14, 49)(15, 68)(16, 53)(17, 51)(18, 67)(19, 69)(20, 54)(21, 62)(22, 59)(23, 63)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.103
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2^-2 * Y3 * Y2^-1, Y3 * Y2^-3, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y1 * Y2^-1 * Y1^3, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 14, 37, 3, 26, 9, 32, 20, 43, 19, 42, 12, 35, 22, 45, 18, 41, 7, 30, 4, 27, 10, 33, 21, 44, 15, 38, 13, 36, 23, 46, 17, 40, 6, 29, 11, 34, 16, 39, 5, 28)(47, 70, 49, 72, 58, 81, 50, 73, 59, 82, 57, 80, 48, 71, 55, 78, 68, 91, 56, 79, 69, 92, 62, 85, 54, 77, 66, 89, 64, 87, 67, 90, 63, 86, 51, 74, 60, 83, 65, 88, 53, 76, 61, 84, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 48)(5, 53)(6, 58)(7, 47)(8, 67)(9, 69)(10, 54)(11, 68)(12, 57)(13, 55)(14, 61)(15, 49)(16, 64)(17, 65)(18, 51)(19, 52)(20, 63)(21, 60)(22, 62)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.133
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, (Y2, Y1), Y3 * Y2^-3, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^2 * Y1, Y2^-1 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 6, 29, 10, 33, 20, 43, 13, 36, 15, 38, 22, 45, 16, 39, 4, 27, 7, 30, 11, 34, 21, 44, 12, 35, 19, 42, 23, 46, 14, 37, 3, 26, 9, 32, 17, 40, 5, 28)(47, 70, 49, 72, 58, 81, 50, 73, 59, 82, 64, 87, 51, 74, 60, 83, 67, 90, 62, 85, 66, 89, 54, 77, 63, 86, 69, 92, 57, 80, 68, 91, 56, 79, 48, 71, 55, 78, 65, 88, 53, 76, 61, 84, 52, 75)
	L = (1, 50)(2, 53)(3, 59)(4, 51)(5, 62)(6, 58)(7, 47)(8, 57)(9, 61)(10, 65)(11, 48)(12, 64)(13, 60)(14, 66)(15, 49)(16, 63)(17, 68)(18, 67)(19, 52)(20, 69)(21, 54)(22, 55)(23, 56)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.75
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3^2, (Y1^-1, Y3), (Y2^-1, Y1), Y2^-2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y3^3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 13, 36, 21, 44, 23, 46, 14, 37, 7, 30, 12, 35, 17, 40, 6, 29, 11, 34, 15, 38, 3, 26, 9, 32, 18, 41, 4, 27, 10, 33, 20, 43, 22, 45, 16, 39, 19, 42, 5, 28)(47, 70, 49, 72, 59, 82, 50, 73, 60, 83, 68, 91, 63, 86, 51, 74, 61, 84, 54, 77, 64, 87, 69, 92, 66, 89, 58, 81, 65, 88, 57, 80, 48, 71, 55, 78, 67, 90, 56, 79, 53, 76, 62, 85, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 64)(6, 59)(7, 47)(8, 66)(9, 53)(10, 52)(11, 67)(12, 48)(13, 68)(14, 51)(15, 69)(16, 49)(17, 54)(18, 58)(19, 55)(20, 57)(21, 62)(22, 61)(23, 65)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.149
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1 * Y1, Y3^-1 * Y2^3, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2), Y3 * Y2^-1 * Y1^-1 * Y3^2, Y2 * Y1 * Y3^2 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 3, 26, 9, 32, 21, 44, 13, 36, 23, 46, 17, 40, 4, 27, 10, 33, 20, 43, 14, 37, 19, 42, 7, 30, 12, 35, 22, 45, 15, 38, 16, 39, 18, 41, 6, 29, 11, 34, 5, 28)(47, 70, 49, 72, 59, 82, 50, 73, 60, 83, 58, 81, 62, 85, 57, 80, 48, 71, 55, 78, 69, 92, 56, 79, 65, 88, 68, 91, 64, 87, 51, 74, 54, 77, 67, 90, 63, 86, 66, 89, 53, 76, 61, 84, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 62)(5, 63)(6, 59)(7, 47)(8, 66)(9, 65)(10, 64)(11, 69)(12, 48)(13, 58)(14, 57)(15, 49)(16, 55)(17, 61)(18, 67)(19, 51)(20, 52)(21, 53)(22, 54)(23, 68)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.113
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), Y2^-3 * Y3, Y2 * Y1^3, (R * Y2)^2, (Y1^-1, Y2), (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2, Y3 * Y1 * Y3^2 * Y2^-1, Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 6, 29, 11, 34, 17, 40, 16, 39, 23, 46, 19, 42, 7, 30, 12, 35, 14, 37, 20, 43, 18, 41, 4, 27, 10, 33, 22, 45, 13, 36, 21, 44, 15, 38, 3, 26, 9, 32, 5, 28)(47, 70, 49, 72, 59, 82, 50, 73, 60, 83, 65, 88, 63, 86, 54, 77, 51, 74, 61, 84, 68, 91, 64, 87, 58, 81, 69, 92, 57, 80, 48, 71, 55, 78, 67, 90, 56, 79, 66, 89, 53, 76, 62, 85, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 64)(6, 59)(7, 47)(8, 68)(9, 66)(10, 62)(11, 67)(12, 48)(13, 65)(14, 54)(15, 58)(16, 49)(17, 61)(18, 57)(19, 51)(20, 52)(21, 53)(22, 69)(23, 55)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.129
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3^2, Y3 * Y2^-3, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y1^2 * Y3^-1, Y2^2 * Y1 * Y3 * Y1, Y3 * Y1^2 * Y3 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 14, 37, 19, 42, 6, 29, 11, 34, 17, 40, 4, 27, 10, 33, 16, 39, 22, 45, 23, 46, 13, 36, 20, 43, 7, 30, 12, 35, 15, 38, 3, 26, 9, 32, 21, 44, 18, 41, 5, 28)(47, 70, 49, 72, 59, 82, 50, 73, 60, 83, 64, 87, 58, 81, 68, 91, 57, 80, 48, 71, 55, 78, 66, 89, 56, 79, 65, 88, 51, 74, 61, 84, 69, 92, 63, 86, 54, 77, 67, 90, 53, 76, 62, 85, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 58)(5, 63)(6, 59)(7, 47)(8, 62)(9, 65)(10, 61)(11, 66)(12, 48)(13, 64)(14, 68)(15, 54)(16, 49)(17, 53)(18, 57)(19, 69)(20, 51)(21, 52)(22, 55)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.69
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1 * Y2, Y3^-3 * Y1^-1, (Y2, Y3), (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y1^2 * Y2, Y2^-1 * Y3 * Y1^-2 * Y3, Y1^2 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 21, 44, 15, 38, 3, 26, 9, 32, 17, 40, 7, 30, 12, 35, 13, 36, 22, 45, 23, 46, 16, 39, 18, 41, 4, 27, 10, 33, 20, 43, 6, 29, 11, 34, 14, 37, 19, 42, 5, 28)(47, 70, 49, 72, 59, 82, 50, 73, 60, 83, 54, 77, 63, 86, 69, 92, 66, 89, 51, 74, 61, 84, 58, 81, 64, 87, 57, 80, 48, 71, 55, 78, 68, 91, 56, 79, 65, 88, 67, 90, 53, 76, 62, 85, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 64)(6, 59)(7, 47)(8, 66)(9, 65)(10, 53)(11, 68)(12, 48)(13, 54)(14, 69)(15, 57)(16, 49)(17, 51)(18, 55)(19, 62)(20, 58)(21, 52)(22, 67)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.146
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, (Y3, Y2), (Y3, Y1^-1), Y3 * Y2^-3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^3, Y2 * Y3 * Y2 * Y1^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 14, 37, 17, 40, 7, 30, 10, 33, 18, 41, 20, 43, 23, 46, 15, 38, 19, 42, 21, 44, 22, 45, 12, 35, 16, 39, 4, 27, 8, 31, 11, 34, 13, 36, 3, 26, 5, 28)(47, 70, 49, 72, 57, 80, 50, 73, 58, 81, 67, 90, 61, 84, 66, 89, 56, 79, 63, 86, 55, 78, 48, 71, 51, 74, 59, 82, 54, 77, 62, 85, 68, 91, 65, 88, 69, 92, 64, 87, 53, 76, 60, 83, 52, 75)
	L = (1, 50)(2, 54)(3, 58)(4, 61)(5, 62)(6, 57)(7, 47)(8, 65)(9, 59)(10, 48)(11, 67)(12, 66)(13, 68)(14, 49)(15, 63)(16, 69)(17, 51)(18, 52)(19, 53)(20, 55)(21, 56)(22, 64)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.142
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y1^-1, Y3^-1), Y3^-1 * Y2^3, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1 * Y3^-2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3, 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 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 11, 34, 15, 38, 4, 27, 9, 32, 12, 35, 20, 43, 22, 45, 19, 42, 14, 37, 21, 44, 23, 46, 18, 41, 17, 40, 7, 30, 10, 33, 13, 36, 16, 39, 6, 29, 5, 28)(47, 70, 49, 72, 57, 80, 50, 73, 58, 81, 68, 91, 60, 83, 69, 92, 63, 86, 56, 79, 62, 85, 51, 74, 48, 71, 54, 77, 61, 84, 55, 78, 66, 89, 65, 88, 67, 90, 64, 87, 53, 76, 59, 82, 52, 75)
	L = (1, 50)(2, 55)(3, 58)(4, 60)(5, 61)(6, 57)(7, 47)(8, 66)(9, 67)(10, 48)(11, 68)(12, 69)(13, 49)(14, 56)(15, 65)(16, 54)(17, 51)(18, 52)(19, 53)(20, 64)(21, 59)(22, 63)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.132
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), Y3^2 * Y2 * Y1^-1, Y2^-2 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-2, (Y1, Y2^-1), Y2 * Y3^2 * Y1^-1, Y3 * Y2^-2 * Y1^-1, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y1^3 * Y3 * Y1, Y2 * Y1^-1 * Y3^-4 * Y1^-1, Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 17, 40, 7, 30, 12, 35, 20, 43, 22, 45, 14, 37, 3, 26, 9, 32, 18, 41, 23, 46, 15, 38, 6, 29, 11, 34, 19, 42, 21, 44, 13, 36, 4, 27, 10, 33, 16, 39, 5, 28)(47, 70, 49, 72, 59, 82, 53, 76, 61, 84, 51, 74, 60, 83, 67, 90, 63, 86, 69, 92, 62, 85, 68, 91, 65, 88, 54, 77, 64, 87, 56, 79, 66, 89, 57, 80, 48, 71, 55, 78, 50, 73, 58, 81, 52, 75)
	L = (1, 50)(2, 56)(3, 58)(4, 57)(5, 59)(6, 55)(7, 47)(8, 62)(9, 66)(10, 65)(11, 64)(12, 48)(13, 52)(14, 53)(15, 49)(16, 67)(17, 51)(18, 68)(19, 69)(20, 54)(21, 61)(22, 63)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.136
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y2^-1, Y1), Y2^3 * Y3, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2 * Y1, Y1^-1 * Y2^-1 * Y1^-3, Y1^-2 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 6, 29, 11, 34, 21, 44, 15, 38, 13, 36, 22, 45, 19, 42, 7, 30, 4, 27, 10, 33, 20, 43, 12, 35, 16, 39, 23, 46, 14, 37, 3, 26, 9, 32, 17, 40, 5, 28)(47, 70, 49, 72, 58, 81, 53, 76, 61, 84, 64, 87, 51, 74, 60, 83, 66, 89, 65, 88, 67, 90, 54, 77, 63, 86, 69, 92, 56, 79, 68, 91, 57, 80, 48, 71, 55, 78, 62, 85, 50, 73, 59, 82, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 48)(5, 53)(6, 62)(7, 47)(8, 66)(9, 68)(10, 54)(11, 69)(12, 52)(13, 55)(14, 61)(15, 49)(16, 57)(17, 65)(18, 58)(19, 51)(20, 64)(21, 60)(22, 63)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.138
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1 * Y2^-1, Y1^-1 * Y3 * Y2^-1 * Y3, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, Y1^2 * Y2^-1 * Y1 * Y2^-1, Y3^-3 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 13, 36, 21, 44, 23, 46, 16, 39, 4, 27, 10, 33, 18, 41, 6, 29, 11, 34, 15, 38, 3, 26, 9, 32, 19, 42, 7, 30, 12, 35, 20, 43, 22, 45, 14, 37, 17, 40, 5, 28)(47, 70, 49, 72, 59, 82, 53, 76, 62, 85, 68, 91, 64, 87, 51, 74, 61, 84, 54, 77, 65, 88, 69, 92, 66, 89, 56, 79, 63, 86, 57, 80, 48, 71, 55, 78, 67, 90, 58, 81, 50, 73, 60, 83, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 55)(5, 62)(6, 58)(7, 47)(8, 64)(9, 63)(10, 65)(11, 66)(12, 48)(13, 52)(14, 67)(15, 68)(16, 49)(17, 69)(18, 53)(19, 51)(20, 54)(21, 57)(22, 59)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.101
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y2^3 * Y3, (R * Y2)^2, (Y1, Y3), Y2 * Y1^-3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-2 * Y3^2, Y2^-2 * Y1 * Y3^2, Y1 * Y2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 3, 26, 9, 32, 16, 39, 13, 36, 23, 46, 20, 43, 7, 30, 12, 35, 18, 41, 15, 38, 17, 40, 4, 27, 10, 33, 22, 45, 14, 37, 21, 44, 19, 42, 6, 29, 11, 34, 5, 28)(47, 70, 49, 72, 59, 82, 53, 76, 61, 84, 56, 79, 67, 90, 57, 80, 48, 71, 55, 78, 69, 92, 58, 81, 63, 86, 68, 91, 65, 88, 51, 74, 54, 77, 62, 85, 66, 89, 64, 87, 50, 73, 60, 83, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 62)(5, 63)(6, 64)(7, 47)(8, 68)(9, 67)(10, 59)(11, 61)(12, 48)(13, 52)(14, 66)(15, 49)(16, 65)(17, 55)(18, 54)(19, 58)(20, 51)(21, 53)(22, 69)(23, 57)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.74
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), Y2 * Y1^3, Y3 * Y2^3, (Y3^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3^-3 * Y1 * Y2^-1, Y3^-1 * Y2^2 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 6, 29, 11, 34, 21, 44, 14, 37, 23, 46, 18, 41, 4, 27, 10, 33, 16, 39, 19, 42, 20, 43, 7, 30, 12, 35, 22, 45, 13, 36, 17, 40, 15, 38, 3, 26, 9, 32, 5, 28)(47, 70, 49, 72, 59, 82, 53, 76, 62, 85, 64, 87, 67, 90, 54, 77, 51, 74, 61, 84, 68, 91, 66, 89, 56, 79, 69, 92, 57, 80, 48, 71, 55, 78, 63, 86, 58, 81, 65, 88, 50, 73, 60, 83, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 64)(6, 65)(7, 47)(8, 62)(9, 69)(10, 61)(11, 66)(12, 48)(13, 52)(14, 58)(15, 67)(16, 49)(17, 57)(18, 59)(19, 55)(20, 51)(21, 53)(22, 54)(23, 68)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.76
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2^2, Y3 * Y1^-1 * Y3^2, (Y1^-1, Y3^-1), (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^-2 * Y3^-1, Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 15, 38, 3, 26, 9, 32, 17, 40, 4, 27, 10, 33, 13, 36, 22, 45, 23, 46, 14, 37, 21, 44, 7, 30, 12, 35, 20, 43, 6, 29, 11, 34, 16, 39, 19, 42, 5, 28)(47, 70, 49, 72, 59, 82, 53, 76, 62, 85, 54, 77, 63, 86, 69, 92, 66, 89, 51, 74, 61, 84, 56, 79, 67, 90, 57, 80, 48, 71, 55, 78, 68, 91, 58, 81, 65, 88, 64, 87, 50, 73, 60, 83, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 58)(5, 63)(6, 64)(7, 47)(8, 59)(9, 67)(10, 66)(11, 61)(12, 48)(13, 52)(14, 65)(15, 69)(16, 49)(17, 53)(18, 68)(19, 55)(20, 54)(21, 51)(22, 57)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.119
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, Y2^-3 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y1^2 * Y3^-1 * Y2, Y3^-2 * Y1 * Y3^-2, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3^-1, Y3^3 * 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^-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, Y3^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 12, 35, 16, 39, 4, 27, 8, 31, 17, 40, 21, 44, 22, 45, 19, 42, 15, 38, 20, 43, 23, 46, 14, 37, 18, 41, 7, 30, 10, 33, 11, 34, 13, 36, 3, 26, 5, 28)(47, 70, 49, 72, 57, 80, 53, 76, 60, 83, 66, 89, 65, 88, 67, 90, 54, 77, 62, 85, 55, 78, 48, 71, 51, 74, 59, 82, 56, 79, 64, 87, 69, 92, 61, 84, 68, 91, 63, 86, 50, 73, 58, 81, 52, 75)
	L = (1, 50)(2, 54)(3, 58)(4, 61)(5, 62)(6, 63)(7, 47)(8, 66)(9, 67)(10, 48)(11, 52)(12, 68)(13, 55)(14, 49)(15, 56)(16, 65)(17, 69)(18, 51)(19, 53)(20, 57)(21, 60)(22, 64)(23, 59)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.112
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, (Y3, Y1), (Y3^-1, Y2^-1), Y2 * Y3 * Y2^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y3)^2, Y3^3 * Y1 * Y3, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-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^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 11, 34, 18, 41, 7, 30, 10, 33, 13, 36, 20, 43, 22, 45, 14, 37, 19, 42, 21, 44, 23, 46, 16, 39, 15, 38, 4, 27, 9, 32, 12, 35, 17, 40, 6, 29, 5, 28)(47, 70, 49, 72, 57, 80, 53, 76, 59, 82, 68, 91, 65, 88, 69, 92, 61, 84, 55, 78, 63, 86, 51, 74, 48, 71, 54, 77, 64, 87, 56, 79, 66, 89, 60, 83, 67, 90, 62, 85, 50, 73, 58, 81, 52, 75)
	L = (1, 50)(2, 55)(3, 58)(4, 60)(5, 61)(6, 62)(7, 47)(8, 63)(9, 65)(10, 48)(11, 52)(12, 67)(13, 49)(14, 64)(15, 68)(16, 66)(17, 69)(18, 51)(19, 53)(20, 54)(21, 56)(22, 57)(23, 59)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.106
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3^-1 * Y2^-2, (Y3, Y1^-1), (R * Y3)^2, Y3^-1 * Y1 * Y2^-2, (R * Y2)^2, (R * Y1)^2, Y2^2 * Y3^-1 * Y2^2, Y2^-1 * Y3^-1 * Y1^-3, Y2 * Y1^-1 * Y3^-3 * Y1^-1, 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 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 13, 36, 3, 26, 9, 32, 20, 43, 7, 30, 12, 35, 15, 38, 22, 45, 14, 37, 17, 40, 23, 46, 21, 44, 16, 39, 4, 27, 10, 33, 19, 42, 6, 29, 11, 34, 18, 41, 5, 28)(47, 70, 49, 72, 58, 81, 63, 86, 50, 73, 57, 80, 48, 71, 55, 78, 61, 84, 69, 92, 56, 79, 64, 87, 54, 77, 66, 89, 68, 91, 67, 90, 65, 88, 51, 74, 59, 82, 53, 76, 60, 83, 62, 85, 52, 75)
	L = (1, 50)(2, 56)(3, 57)(4, 61)(5, 62)(6, 63)(7, 47)(8, 65)(9, 64)(10, 68)(11, 69)(12, 48)(13, 52)(14, 49)(15, 54)(16, 58)(17, 55)(18, 67)(19, 60)(20, 51)(21, 53)(22, 59)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.123
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3 * Y2^-1, Y3^2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1^-1 * Y3, (Y1^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4 * Y1, Y2^2 * Y3^-1 * Y2^2, Y1 * Y2^-1 * Y3^-1 * Y2^-2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 20, 43, 14, 37, 19, 42, 7, 30, 12, 35, 23, 46, 15, 38, 3, 26, 9, 32, 18, 41, 6, 29, 11, 34, 22, 45, 16, 39, 4, 27, 10, 33, 21, 44, 13, 36, 17, 40, 5, 28)(47, 70, 49, 72, 59, 82, 58, 81, 50, 73, 60, 83, 57, 80, 48, 71, 55, 78, 63, 86, 69, 92, 56, 79, 65, 88, 68, 91, 54, 77, 64, 87, 51, 74, 61, 84, 67, 90, 53, 76, 62, 85, 66, 89, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 55)(5, 62)(6, 58)(7, 47)(8, 67)(9, 65)(10, 64)(11, 69)(12, 48)(13, 57)(14, 63)(15, 66)(16, 49)(17, 68)(18, 53)(19, 51)(20, 59)(21, 52)(22, 61)(23, 54)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.115
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, Y1^3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y2^4 * Y3^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3, Y3^-1 * Y2^4, Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 3, 26, 9, 32, 20, 43, 12, 35, 21, 44, 19, 42, 15, 38, 17, 40, 7, 30, 4, 27, 10, 33, 14, 37, 13, 36, 22, 45, 18, 41, 23, 46, 16, 39, 6, 29, 11, 34, 5, 28)(47, 70, 49, 72, 58, 81, 61, 84, 50, 73, 59, 82, 69, 92, 57, 80, 48, 71, 55, 78, 67, 90, 63, 86, 56, 79, 68, 91, 62, 85, 51, 74, 54, 77, 66, 89, 65, 88, 53, 76, 60, 83, 64, 87, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 48)(5, 53)(6, 61)(7, 47)(8, 60)(9, 68)(10, 54)(11, 63)(12, 69)(13, 55)(14, 49)(15, 57)(16, 65)(17, 51)(18, 58)(19, 52)(20, 64)(21, 62)(22, 66)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.73
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1, Y2 * Y1^3, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 6, 29, 10, 33, 20, 43, 18, 41, 22, 45, 13, 36, 15, 38, 16, 39, 4, 27, 7, 30, 11, 34, 17, 40, 19, 42, 23, 46, 12, 35, 21, 44, 14, 37, 3, 26, 9, 32, 5, 28)(47, 70, 49, 72, 58, 81, 63, 86, 50, 73, 59, 82, 66, 89, 54, 77, 51, 74, 60, 83, 69, 92, 57, 80, 62, 85, 68, 91, 56, 79, 48, 71, 55, 78, 67, 90, 65, 88, 53, 76, 61, 84, 64, 87, 52, 75)
	L = (1, 50)(2, 53)(3, 59)(4, 51)(5, 62)(6, 63)(7, 47)(8, 57)(9, 61)(10, 65)(11, 48)(12, 66)(13, 60)(14, 68)(15, 49)(16, 55)(17, 54)(18, 58)(19, 52)(20, 69)(21, 64)(22, 67)(23, 56)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.71
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, Y3^-3 * Y1^-1, Y3^-3 * Y1^-1, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^3 * Y3^-1 * Y2, Y2^2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 18, 41, 21, 44, 14, 37, 15, 38, 7, 30, 10, 33, 19, 42, 22, 45, 23, 46, 12, 35, 16, 39, 4, 27, 8, 31, 17, 40, 20, 43, 11, 34, 13, 36, 3, 26, 5, 28)(47, 70, 49, 72, 57, 80, 63, 86, 50, 73, 58, 81, 68, 91, 56, 79, 61, 84, 67, 90, 55, 78, 48, 71, 51, 74, 59, 82, 66, 89, 54, 77, 62, 85, 69, 92, 65, 88, 53, 76, 60, 83, 64, 87, 52, 75)
	L = (1, 50)(2, 54)(3, 58)(4, 61)(5, 62)(6, 63)(7, 47)(8, 53)(9, 66)(10, 48)(11, 68)(12, 67)(13, 69)(14, 49)(15, 51)(16, 60)(17, 56)(18, 57)(19, 52)(20, 65)(21, 59)(22, 55)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.124
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1, Y3^3 * Y1^-1, (Y3, Y1), (R * Y3)^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, Y3 * Y2^-4, Y2^-1 * Y3 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 11, 34, 20, 43, 15, 38, 14, 37, 4, 27, 9, 32, 12, 35, 21, 44, 23, 46, 19, 42, 17, 40, 7, 30, 10, 33, 13, 36, 22, 45, 18, 41, 16, 39, 6, 29, 5, 28)(47, 70, 49, 72, 57, 80, 61, 84, 50, 73, 58, 81, 69, 92, 63, 86, 56, 79, 68, 91, 62, 85, 51, 74, 48, 71, 54, 77, 66, 89, 60, 83, 55, 78, 67, 90, 65, 88, 53, 76, 59, 82, 64, 87, 52, 75)
	L = (1, 50)(2, 55)(3, 58)(4, 56)(5, 60)(6, 61)(7, 47)(8, 67)(9, 59)(10, 48)(11, 69)(12, 68)(13, 49)(14, 53)(15, 63)(16, 66)(17, 51)(18, 57)(19, 52)(20, 65)(21, 64)(22, 54)(23, 62)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.147
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y2 * Y1 * Y2^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y3^-5, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^2 * Y1^4, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 22, 45, 17, 40, 12, 35, 11, 34, 6, 29, 4, 27, 10, 33, 19, 42, 23, 46, 16, 39, 7, 30, 3, 26, 9, 32, 14, 37, 13, 36, 20, 43, 21, 44, 15, 38, 5, 28)(47, 70, 49, 72, 57, 80, 51, 74, 53, 76, 58, 81, 61, 84, 62, 85, 63, 86, 67, 90, 69, 92, 68, 91, 66, 89, 65, 88, 64, 87, 59, 82, 56, 79, 54, 77, 60, 83, 50, 73, 48, 71, 55, 78, 52, 75)
	L = (1, 50)(2, 56)(3, 48)(4, 59)(5, 52)(6, 60)(7, 47)(8, 65)(9, 54)(10, 66)(11, 55)(12, 49)(13, 68)(14, 64)(15, 57)(16, 51)(17, 53)(18, 69)(19, 67)(20, 63)(21, 58)(22, 62)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.125
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y1 * Y3^-2 * Y2^-1, (Y1^-1, Y2), Y2 * Y1^-1 * Y3^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y2)^2, Y1^2 * Y3^2 * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 13, 36, 17, 40, 20, 43, 7, 30, 12, 35, 23, 46, 19, 42, 6, 29, 11, 34, 14, 37, 3, 26, 9, 32, 22, 45, 16, 39, 4, 27, 10, 33, 15, 38, 21, 44, 18, 41, 5, 28)(47, 70, 49, 72, 59, 82, 62, 85, 53, 76, 61, 84, 65, 88, 51, 74, 60, 83, 54, 77, 68, 91, 66, 89, 56, 79, 69, 92, 64, 87, 57, 80, 48, 71, 55, 78, 63, 86, 50, 73, 58, 81, 67, 90, 52, 75)
	L = (1, 50)(2, 56)(3, 58)(4, 57)(5, 62)(6, 63)(7, 47)(8, 61)(9, 69)(10, 60)(11, 66)(12, 48)(13, 67)(14, 53)(15, 49)(16, 52)(17, 64)(18, 68)(19, 59)(20, 51)(21, 55)(22, 65)(23, 54)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.80
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, (Y1^-1, Y3^-1), (Y2^-1, Y3), Y2^-1 * Y1^-3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3, Y2^-3 * Y3^-1 * Y2^-1, Y2 * Y3^-1 * Y1^-1 * Y2^2 * Y1^-1, 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 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 6, 29, 11, 34, 20, 43, 18, 41, 23, 46, 15, 38, 13, 36, 17, 40, 7, 30, 4, 27, 10, 33, 19, 42, 16, 39, 22, 45, 12, 35, 21, 44, 14, 37, 3, 26, 9, 32, 5, 28)(47, 70, 49, 72, 58, 81, 65, 88, 53, 76, 61, 84, 66, 89, 54, 77, 51, 74, 60, 83, 68, 91, 56, 79, 63, 86, 69, 92, 57, 80, 48, 71, 55, 78, 67, 90, 62, 85, 50, 73, 59, 82, 64, 87, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 48)(5, 53)(6, 62)(7, 47)(8, 65)(9, 63)(10, 54)(11, 68)(12, 64)(13, 55)(14, 61)(15, 49)(16, 57)(17, 51)(18, 67)(19, 52)(20, 58)(21, 69)(22, 66)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.105
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3), Y1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y1^-1 * Y3 * Y1^-1, (Y2^-1, Y1^-1), (Y1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1^2, (R * Y1)^2, Y2 * Y1 * Y3^-3, Y2 * Y1 * Y2^2 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y1^-3 * Y3^-1, (Y1^-1 * Y3^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 22, 45, 19, 42, 7, 30, 12, 35, 3, 26, 9, 32, 20, 43, 21, 44, 16, 39, 14, 37, 15, 38, 13, 36, 18, 41, 6, 29, 11, 34, 4, 27, 10, 33, 23, 46, 17, 40, 5, 28)(47, 70, 49, 72, 59, 82, 63, 86, 53, 76, 60, 83, 56, 79, 68, 91, 67, 90, 57, 80, 48, 71, 55, 78, 64, 87, 51, 74, 58, 81, 61, 84, 69, 92, 65, 88, 62, 85, 50, 73, 54, 77, 66, 89, 52, 75)
	L = (1, 50)(2, 56)(3, 54)(4, 61)(5, 57)(6, 62)(7, 47)(8, 69)(9, 68)(10, 59)(11, 60)(12, 48)(13, 66)(14, 49)(15, 55)(16, 58)(17, 52)(18, 67)(19, 51)(20, 65)(21, 53)(22, 63)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.77
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2), Y1^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y1, Y3), Y2^-1 * Y1^-2 * Y3^-1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^2 * Y2^-1, Y1^-2 * Y2^3, Y1^-1 * Y3^-2 * Y2 * Y3^-1, Y2 * Y3 * Y1^-3 * Y3 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 22, 45, 18, 41, 4, 27, 10, 33, 6, 29, 11, 34, 13, 36, 17, 40, 16, 39, 19, 42, 21, 44, 20, 43, 15, 38, 3, 26, 9, 32, 7, 30, 12, 35, 23, 46, 14, 37, 5, 28)(47, 70, 49, 72, 59, 82, 54, 77, 53, 76, 62, 85, 64, 87, 69, 92, 67, 90, 56, 79, 51, 74, 61, 84, 57, 80, 48, 71, 55, 78, 63, 86, 68, 91, 58, 81, 65, 88, 50, 73, 60, 83, 66, 89, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 64)(6, 65)(7, 47)(8, 52)(9, 51)(10, 62)(11, 67)(12, 48)(13, 66)(14, 68)(15, 69)(16, 49)(17, 61)(18, 59)(19, 55)(20, 58)(21, 53)(22, 57)(23, 54)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.122
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y1^-1, Y3^3 * Y1^-1, (Y3^-1, Y2), Y3^3 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (Y3, Y2^-1), (Y3, Y1), (R * Y3)^2, Y2 * Y3 * Y2^3, Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y1^-1, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 18, 41, 21, 44, 12, 35, 15, 38, 4, 27, 8, 31, 16, 39, 20, 43, 23, 46, 14, 37, 17, 40, 7, 30, 10, 33, 19, 42, 22, 45, 11, 34, 13, 36, 3, 26, 5, 28)(47, 70, 49, 72, 57, 80, 65, 88, 53, 76, 60, 83, 66, 89, 54, 77, 61, 84, 67, 90, 55, 78, 48, 71, 51, 74, 59, 82, 68, 91, 56, 79, 63, 86, 69, 92, 62, 85, 50, 73, 58, 81, 64, 87, 52, 75)
	L = (1, 50)(2, 54)(3, 58)(4, 56)(5, 61)(6, 62)(7, 47)(8, 65)(9, 66)(10, 48)(11, 64)(12, 63)(13, 67)(14, 49)(15, 53)(16, 68)(17, 51)(18, 69)(19, 52)(20, 57)(21, 60)(22, 55)(23, 59)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.152
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y3, Y2), Y3^-1 * Y1^-1 * Y3^-2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-4, Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 11, 34, 20, 43, 19, 42, 14, 37, 7, 30, 10, 33, 13, 36, 22, 45, 23, 46, 16, 39, 15, 38, 4, 27, 9, 32, 12, 35, 21, 44, 18, 41, 17, 40, 6, 29, 5, 28)(47, 70, 49, 72, 57, 80, 65, 88, 53, 76, 59, 82, 69, 92, 61, 84, 55, 78, 67, 90, 63, 86, 51, 74, 48, 71, 54, 77, 66, 89, 60, 83, 56, 79, 68, 91, 62, 85, 50, 73, 58, 81, 64, 87, 52, 75)
	L = (1, 50)(2, 55)(3, 58)(4, 60)(5, 61)(6, 62)(7, 47)(8, 67)(9, 53)(10, 48)(11, 64)(12, 56)(13, 49)(14, 51)(15, 65)(16, 66)(17, 69)(18, 68)(19, 52)(20, 63)(21, 59)(22, 54)(23, 57)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.107
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), Y2 * Y3 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y2)^2, Y3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y1 * Y3^4 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 23, 46, 16, 39, 7, 30, 12, 35, 3, 26, 9, 32, 19, 42, 14, 37, 17, 40, 21, 44, 13, 36, 6, 29, 11, 34, 4, 27, 10, 33, 20, 43, 22, 45, 15, 38, 5, 28)(47, 70, 49, 72, 57, 80, 48, 71, 55, 78, 50, 73, 54, 77, 65, 88, 56, 79, 64, 87, 60, 83, 66, 89, 69, 92, 63, 86, 68, 91, 62, 85, 67, 90, 61, 84, 53, 76, 59, 82, 51, 74, 58, 81, 52, 75)
	L = (1, 50)(2, 56)(3, 54)(4, 60)(5, 57)(6, 55)(7, 47)(8, 66)(9, 64)(10, 63)(11, 65)(12, 48)(13, 49)(14, 62)(15, 52)(16, 51)(17, 53)(18, 68)(19, 69)(20, 67)(21, 58)(22, 59)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.111
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y1 * Y3^3, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y2^-1, (Y2^-1, Y3^-1), (R * Y1)^2, Y1^-2 * Y3^-1 * Y2^-2, Y2 * Y1^2 * Y3 * Y2, Y1 * Y3^-1 * Y2^2 * Y3^-1, Y1 * Y2 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 3, 26, 9, 32, 21, 44, 13, 36, 16, 39, 7, 30, 12, 35, 22, 45, 15, 38, 18, 41, 23, 46, 17, 40, 4, 27, 10, 33, 20, 43, 14, 37, 19, 42, 6, 29, 11, 34, 5, 28)(47, 70, 49, 72, 59, 82, 58, 81, 64, 87, 50, 73, 60, 83, 57, 80, 48, 71, 55, 78, 62, 85, 68, 91, 69, 92, 56, 79, 65, 88, 51, 74, 54, 77, 67, 90, 53, 76, 61, 84, 63, 86, 66, 89, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 62)(5, 63)(6, 64)(7, 47)(8, 66)(9, 65)(10, 53)(11, 69)(12, 48)(13, 57)(14, 68)(15, 49)(16, 51)(17, 59)(18, 55)(19, 61)(20, 58)(21, 52)(22, 54)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.121
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-1, (Y2, Y3), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y1^-2, Y2 * Y1 * Y2^2 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y2 * Y1^2 * Y3 * 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, Y2 * Y3 * Y2 * Y1^20 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 22, 45, 21, 44, 16, 39, 14, 37, 3, 26, 9, 32, 20, 43, 19, 42, 7, 30, 4, 27, 10, 33, 12, 35, 18, 41, 6, 29, 11, 34, 15, 38, 13, 36, 23, 46, 17, 40, 5, 28)(47, 70, 49, 72, 58, 81, 63, 86, 62, 85, 50, 73, 59, 82, 68, 91, 65, 88, 57, 80, 48, 71, 55, 78, 64, 87, 51, 74, 60, 83, 56, 79, 69, 92, 67, 90, 53, 76, 61, 84, 54, 77, 66, 89, 52, 75)
	L = (1, 50)(2, 56)(3, 59)(4, 48)(5, 53)(6, 62)(7, 47)(8, 58)(9, 69)(10, 54)(11, 60)(12, 68)(13, 55)(14, 61)(15, 49)(16, 57)(17, 65)(18, 67)(19, 51)(20, 63)(21, 52)(22, 64)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.137
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1, (Y1^-1, Y3^-1), (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2^2, Y2^-5 * Y3, Y3^5 * Y1 * Y2^-1 * Y1, Y2^2 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 9, 32, 17, 40, 19, 42, 22, 45, 23, 46, 13, 36, 16, 39, 7, 30, 10, 33, 14, 37, 4, 27, 8, 31, 15, 38, 18, 41, 20, 43, 21, 44, 11, 34, 12, 35, 3, 26, 5, 28)(47, 70, 49, 72, 57, 80, 66, 89, 61, 84, 50, 73, 56, 79, 62, 85, 69, 92, 65, 88, 55, 78, 48, 71, 51, 74, 58, 81, 67, 90, 64, 87, 54, 77, 60, 83, 53, 76, 59, 82, 68, 91, 63, 86, 52, 75)
	L = (1, 50)(2, 54)(3, 56)(4, 55)(5, 60)(6, 61)(7, 47)(8, 63)(9, 64)(10, 48)(11, 62)(12, 53)(13, 49)(14, 52)(15, 65)(16, 51)(17, 66)(18, 68)(19, 67)(20, 69)(21, 59)(22, 57)(23, 58)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.100
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, Y3^2 * Y2 * Y1, (Y3^-1, Y1^-1), Y1 * Y3 * Y2 * Y3, Y3^-2 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^5, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 11, 34, 18, 41, 20, 43, 22, 45, 16, 39, 15, 38, 4, 27, 9, 32, 12, 35, 7, 30, 10, 33, 13, 36, 19, 42, 21, 44, 23, 46, 17, 40, 14, 37, 6, 29, 5, 28)(47, 70, 49, 72, 57, 80, 66, 89, 62, 85, 50, 73, 58, 81, 56, 79, 65, 88, 69, 92, 60, 83, 51, 74, 48, 71, 54, 77, 64, 87, 68, 91, 61, 84, 55, 78, 53, 76, 59, 82, 67, 90, 63, 86, 52, 75)
	L = (1, 50)(2, 55)(3, 58)(4, 60)(5, 61)(6, 62)(7, 47)(8, 53)(9, 52)(10, 48)(11, 56)(12, 51)(13, 49)(14, 68)(15, 63)(16, 69)(17, 66)(18, 59)(19, 54)(20, 65)(21, 57)(22, 67)(23, 64)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.117
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-3 * Y1^-1 * Y2^-1, Y3^-2 * Y1^-2 * Y3^-1, Y1^-4 * Y2^-1 * Y1^-2, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^23 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 20, 43, 22, 45, 16, 39, 6, 29, 4, 27, 10, 33, 19, 42, 12, 35, 11, 34, 18, 41, 14, 37, 13, 36, 17, 40, 7, 30, 3, 26, 9, 32, 21, 44, 23, 46, 15, 38, 5, 28)(47, 70, 49, 72, 57, 80, 62, 85, 51, 74, 53, 76, 58, 81, 68, 91, 61, 84, 63, 86, 65, 88, 66, 89, 69, 92, 59, 82, 56, 79, 54, 77, 67, 90, 60, 83, 50, 73, 48, 71, 55, 78, 64, 87, 52, 75)
	L = (1, 50)(2, 56)(3, 48)(4, 59)(5, 52)(6, 60)(7, 47)(8, 65)(9, 54)(10, 63)(11, 55)(12, 49)(13, 61)(14, 69)(15, 62)(16, 64)(17, 51)(18, 67)(19, 53)(20, 58)(21, 66)(22, 57)(23, 68)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.104
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, (Y3^-1, Y1), Y3^-2 * Y2 * Y1, Y3 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^3 * Y3 * Y2^2, Y3 * Y1 * Y3^4 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 3, 26, 8, 31, 11, 34, 18, 41, 20, 43, 23, 46, 17, 40, 15, 38, 7, 30, 10, 33, 13, 36, 4, 27, 9, 32, 12, 35, 19, 42, 21, 44, 22, 45, 16, 39, 14, 37, 6, 29, 5, 28)(47, 70, 49, 72, 57, 80, 66, 89, 63, 86, 53, 76, 59, 82, 55, 78, 65, 88, 68, 91, 60, 83, 51, 74, 48, 71, 54, 77, 64, 87, 69, 92, 61, 84, 56, 79, 50, 73, 58, 81, 67, 90, 62, 85, 52, 75)
	L = (1, 50)(2, 55)(3, 58)(4, 54)(5, 59)(6, 56)(7, 47)(8, 65)(9, 57)(10, 48)(11, 67)(12, 64)(13, 49)(14, 53)(15, 51)(16, 61)(17, 52)(18, 68)(19, 66)(20, 62)(21, 69)(22, 63)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.70
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y2^-2 * Y1^-1, (Y3, Y1), (Y1^-1, Y2), Y1 * Y3^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^3 * Y3^-2, Y1 * Y2^-4, Y3 * Y2^-1 * Y3^3, Y2 * Y3 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 17, 40, 20, 43, 15, 38, 3, 26, 9, 32, 22, 45, 19, 42, 7, 30, 12, 35, 13, 36, 4, 27, 10, 33, 23, 46, 16, 39, 6, 29, 11, 34, 14, 37, 21, 44, 18, 41, 5, 28)(47, 70, 49, 72, 59, 82, 57, 80, 48, 71, 55, 78, 50, 73, 60, 83, 54, 77, 68, 91, 56, 79, 67, 90, 63, 86, 65, 88, 69, 92, 64, 87, 66, 89, 53, 76, 62, 85, 51, 74, 61, 84, 58, 81, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 59)(6, 55)(7, 47)(8, 69)(9, 67)(10, 66)(11, 68)(12, 48)(13, 54)(14, 65)(15, 57)(16, 49)(17, 62)(18, 58)(19, 51)(20, 52)(21, 53)(22, 64)(23, 61)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.143
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, Y2 * Y1^2, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^6 * Y3^-1, Y1 * Y2^-2 * Y3^-1 * Y2^-3, 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^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 6, 29, 8, 31, 14, 37, 16, 39, 22, 45, 19, 42, 21, 44, 11, 34, 13, 36, 4, 27, 7, 30, 9, 32, 15, 38, 17, 40, 23, 46, 18, 41, 20, 43, 10, 33, 12, 35, 3, 26, 5, 28)(47, 70, 49, 72, 56, 79, 64, 87, 63, 86, 55, 78, 50, 73, 57, 80, 65, 88, 62, 85, 54, 77, 48, 71, 51, 74, 58, 81, 66, 89, 69, 92, 61, 84, 53, 76, 59, 82, 67, 90, 68, 91, 60, 83, 52, 75)
	L = (1, 50)(2, 53)(3, 57)(4, 51)(5, 59)(6, 55)(7, 47)(8, 61)(9, 48)(10, 65)(11, 58)(12, 67)(13, 49)(14, 63)(15, 52)(16, 69)(17, 54)(18, 62)(19, 66)(20, 68)(21, 56)(22, 64)(23, 60)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.67
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y3^-2 * Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y3 * Y1, Y1^-1 * Y2^-5, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 18, 41, 21, 44, 17, 40, 14, 37, 13, 36, 7, 30, 3, 26, 9, 32, 19, 42, 23, 46, 16, 39, 6, 29, 4, 27, 10, 33, 12, 35, 11, 34, 20, 43, 22, 45, 15, 38, 5, 28)(47, 70, 49, 72, 57, 80, 67, 90, 62, 85, 51, 74, 53, 76, 58, 81, 64, 87, 69, 92, 61, 84, 59, 82, 56, 79, 54, 77, 65, 88, 68, 91, 60, 83, 50, 73, 48, 71, 55, 78, 66, 89, 63, 86, 52, 75)
	L = (1, 50)(2, 56)(3, 48)(4, 59)(5, 52)(6, 60)(7, 47)(8, 58)(9, 54)(10, 53)(11, 55)(12, 49)(13, 51)(14, 61)(15, 62)(16, 63)(17, 68)(18, 57)(19, 64)(20, 65)(21, 66)(22, 69)(23, 67)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.79
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 23, 23, 23})
Quotient :: dipole
Aut^+ = C23 (small group id <23, 1>)
Aut   = D46 (small group id <46, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y3), (Y2, Y3^-1), Y1 * Y3 * Y1 * Y2, Y1^2 * Y2 * Y3, Y1^-2 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^2, Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y3^-1 * Y2^-1 * Y3^-3, Y1^-1 * Y3^-2 * Y2^2, Y2 * Y3 * Y1^-3 * Y2 ]
Map:: non-degenerate
	R = (1, 24, 2, 25, 8, 31, 22, 45, 15, 38, 3, 26, 9, 32, 7, 30, 12, 35, 17, 40, 13, 36, 19, 42, 16, 39, 20, 43, 21, 44, 18, 41, 4, 27, 10, 33, 6, 29, 11, 34, 23, 46, 14, 37, 5, 28)(47, 70, 49, 72, 59, 82, 64, 87, 69, 92, 54, 77, 53, 76, 62, 85, 56, 79, 51, 74, 61, 84, 63, 86, 67, 90, 57, 80, 48, 71, 55, 78, 65, 88, 50, 73, 60, 83, 68, 91, 58, 81, 66, 89, 52, 75)
	L = (1, 50)(2, 56)(3, 60)(4, 63)(5, 64)(6, 65)(7, 47)(8, 52)(9, 51)(10, 59)(11, 62)(12, 48)(13, 68)(14, 67)(15, 69)(16, 49)(17, 54)(18, 58)(19, 61)(20, 55)(21, 53)(22, 57)(23, 66)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.82
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 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 * Y1^2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, Y1^-3 * Y3^-2, Y2^3 * Y3^2, Y3 * Y1 * Y3 * Y2^-2, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-8, Y3^8, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 22, 46, 15, 39, 3, 27, 9, 33, 6, 30, 11, 35, 17, 41, 13, 37, 5, 29)(4, 28, 10, 34, 20, 44, 7, 31, 12, 36, 14, 38, 23, 47, 19, 43, 16, 40, 24, 48, 21, 45, 18, 42)(49, 73, 51, 75, 61, 85, 70, 94, 59, 83, 50, 74, 57, 81, 53, 77, 63, 87, 65, 89, 56, 80, 54, 78)(52, 76, 62, 86, 69, 93, 55, 79, 64, 88, 58, 82, 71, 95, 66, 90, 60, 84, 72, 96, 68, 92, 67, 91)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 68)(9, 71)(10, 61)(11, 64)(12, 50)(13, 69)(14, 56)(15, 60)(16, 51)(17, 72)(18, 59)(19, 63)(20, 53)(21, 54)(22, 55)(23, 70)(24, 57)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.169
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 24^4 ]

E22.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^-1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^12, (Y3^-1 * Y1^-1)^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 20, 44, 16, 40, 12, 36, 8, 32, 4, 28)(3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 21, 45, 17, 41, 13, 37, 9, 33, 5, 29)(49, 73, 51, 75, 50, 74, 55, 79, 54, 78, 59, 83, 58, 82, 63, 87, 62, 86, 67, 91, 66, 90, 71, 95, 70, 94, 72, 96, 68, 92, 69, 93, 64, 88, 65, 89, 60, 84, 61, 85, 56, 80, 57, 81, 52, 76, 53, 77)
	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, 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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^12, (Y3^-1 * Y1^-1)^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 10, 34, 14, 38, 18, 42, 22, 46, 21, 45, 17, 41, 13, 37, 9, 33, 4, 28)(3, 27, 5, 29, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 24, 48, 20, 44, 16, 40, 12, 36, 8, 32)(49, 73, 51, 75, 52, 76, 56, 80, 57, 81, 60, 84, 61, 85, 64, 88, 65, 89, 68, 92, 69, 93, 72, 96, 70, 94, 71, 95, 66, 90, 67, 91, 62, 86, 63, 87, 58, 82, 59, 83, 54, 78, 55, 79, 50, 74, 53, 77)
	L = (1, 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, 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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^4, (Y3^-1 * Y1^-1)^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 20, 44, 9, 33, 17, 41, 13, 37, 18, 42, 22, 46, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 23, 47, 24, 48, 19, 43, 12, 36, 5, 29, 8, 32, 16, 40, 21, 45, 10, 34)(49, 73, 51, 75, 57, 81, 67, 91, 59, 83, 69, 93, 62, 86, 71, 95, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 60, 84, 52, 76, 58, 82, 68, 92, 72, 96, 70, 94, 64, 88, 54, 78, 63, 87, 61, 85, 53, 77)
	L = (1, 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, 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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1, (Y1 * Y2^-2)^2, Y1^3 * Y2 * Y1 * Y2 * Y1, (Y2^-1 * Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^12, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 14, 38, 22, 46, 13, 37, 18, 42, 9, 33, 17, 41, 20, 44, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 12, 36, 5, 29, 8, 32, 16, 40, 23, 47, 24, 48, 19, 43, 10, 34)(49, 73, 51, 75, 57, 81, 64, 88, 54, 78, 63, 87, 68, 92, 72, 96, 70, 94, 60, 84, 52, 76, 58, 82, 66, 90, 56, 80, 50, 74, 55, 79, 65, 89, 71, 95, 62, 86, 69, 93, 59, 83, 67, 91, 61, 85, 53, 77)
	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, 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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^-6 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 19, 43, 11, 35, 4, 28, 9, 33, 17, 41, 21, 45, 13, 37, 5, 29)(3, 27, 8, 32, 16, 40, 23, 47, 20, 44, 12, 36, 10, 34, 18, 42, 24, 48, 22, 46, 14, 38, 6, 30)(49, 73, 51, 75, 50, 74, 56, 80, 55, 79, 64, 88, 63, 87, 71, 95, 67, 91, 68, 92, 59, 83, 60, 84, 52, 76, 58, 82, 57, 81, 66, 90, 65, 89, 72, 96, 69, 93, 70, 94, 61, 85, 62, 86, 53, 77, 54, 78)
	L = (1, 52)(2, 57)(3, 58)(4, 49)(5, 59)(6, 60)(7, 65)(8, 66)(9, 50)(10, 51)(11, 53)(12, 54)(13, 67)(14, 68)(15, 69)(16, 72)(17, 55)(18, 56)(19, 61)(20, 62)(21, 63)(22, 71)(23, 70)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 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 E22.164
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y3, Y1^-6 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 21, 45, 12, 36, 4, 28, 8, 32, 16, 40, 22, 46, 14, 38, 5, 29)(3, 27, 6, 30, 9, 33, 17, 41, 23, 47, 19, 43, 10, 34, 13, 37, 18, 42, 24, 48, 20, 44, 11, 35)(49, 73, 51, 75, 53, 77, 59, 83, 62, 86, 68, 92, 70, 94, 72, 96, 64, 88, 66, 90, 56, 80, 61, 85, 52, 76, 58, 82, 60, 84, 67, 91, 69, 93, 71, 95, 63, 87, 65, 89, 55, 79, 57, 81, 50, 74, 54, 78)
	L = (1, 52)(2, 56)(3, 58)(4, 49)(5, 60)(6, 61)(7, 64)(8, 50)(9, 66)(10, 51)(11, 67)(12, 53)(13, 54)(14, 69)(15, 70)(16, 55)(17, 72)(18, 57)(19, 59)(20, 71)(21, 62)(22, 63)(23, 68)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 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 E22.163
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.163 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1, Y1^-1), Y1 * Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y1, Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 20, 44, 11, 35, 4, 28, 9, 33, 17, 41, 22, 46, 14, 38, 5, 29)(3, 27, 8, 32, 16, 40, 23, 47, 24, 48, 19, 43, 12, 36, 6, 30, 10, 34, 18, 42, 21, 45, 13, 37)(49, 73, 51, 75, 59, 83, 67, 91, 62, 86, 69, 93, 63, 87, 71, 95, 65, 89, 58, 82, 50, 74, 56, 80, 52, 76, 60, 84, 53, 77, 61, 85, 68, 92, 72, 96, 70, 94, 66, 90, 55, 79, 64, 88, 57, 81, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 59)(6, 56)(7, 65)(8, 54)(9, 50)(10, 64)(11, 53)(12, 51)(13, 67)(14, 68)(15, 70)(16, 58)(17, 55)(18, 71)(19, 61)(20, 62)(21, 72)(22, 63)(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) :: { ( 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, 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 E22.162
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-1 * Y3, Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 20, 44, 12, 36, 4, 28, 9, 33, 17, 41, 21, 45, 13, 37, 5, 29)(3, 27, 8, 32, 16, 40, 22, 46, 14, 38, 6, 30, 10, 34, 18, 42, 23, 47, 24, 48, 19, 43, 11, 35)(49, 73, 51, 75, 57, 81, 66, 90, 55, 79, 64, 88, 69, 93, 72, 96, 68, 92, 62, 86, 53, 77, 59, 83, 52, 76, 58, 82, 50, 74, 56, 80, 65, 89, 71, 95, 63, 87, 70, 94, 61, 85, 67, 91, 60, 84, 54, 78)
	L = (1, 52)(2, 57)(3, 58)(4, 49)(5, 60)(6, 59)(7, 65)(8, 66)(9, 50)(10, 51)(11, 54)(12, 53)(13, 68)(14, 67)(15, 69)(16, 71)(17, 55)(18, 56)(19, 62)(20, 61)(21, 63)(22, 72)(23, 64)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 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 E22.161
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-3, Y3^3, Y2^2 * Y1^-1, (Y3, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y3 * Y1^-4, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 4, 28, 10, 34, 21, 45, 18, 42, 7, 31, 11, 35, 16, 40, 5, 29)(3, 27, 9, 33, 20, 44, 15, 39, 12, 36, 22, 46, 24, 48, 19, 43, 13, 37, 23, 47, 17, 41, 6, 30)(49, 73, 51, 75, 50, 74, 57, 81, 56, 80, 68, 92, 62, 86, 63, 87, 52, 76, 60, 84, 58, 82, 70, 94, 69, 93, 72, 96, 66, 90, 67, 91, 55, 79, 61, 85, 59, 83, 71, 95, 64, 88, 65, 89, 53, 77, 54, 78)
	L = (1, 52)(2, 58)(3, 60)(4, 55)(5, 62)(6, 63)(7, 49)(8, 69)(9, 70)(10, 59)(11, 50)(12, 61)(13, 51)(14, 66)(15, 67)(16, 56)(17, 68)(18, 53)(19, 54)(20, 72)(21, 64)(22, 71)(23, 57)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y1 * Y2 * Y3, (Y3^-1, Y2^-1), Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2 * Y1, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^2 * Y3^-1 * Y1^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-2, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 17, 41, 4, 28, 10, 34, 21, 45, 13, 37, 7, 31, 12, 36, 19, 43, 5, 29)(3, 27, 9, 33, 20, 44, 24, 48, 14, 38, 6, 30, 11, 35, 22, 46, 16, 40, 18, 42, 23, 47, 15, 39)(49, 73, 51, 75, 61, 85, 70, 94, 56, 80, 68, 92, 60, 84, 66, 90, 52, 76, 62, 86, 53, 77, 63, 87, 69, 93, 59, 83, 50, 74, 57, 81, 55, 79, 64, 88, 65, 89, 72, 96, 67, 91, 71, 95, 58, 82, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 65)(6, 66)(7, 49)(8, 69)(9, 54)(10, 60)(11, 71)(12, 50)(13, 53)(14, 64)(15, 72)(16, 51)(17, 61)(18, 57)(19, 56)(20, 59)(21, 67)(22, 63)(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) :: { ( 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, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y1^-1 * Y2^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^6, 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 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 9, 33, 15, 39, 17, 41, 20, 44, 21, 45, 12, 36, 13, 37, 4, 28, 5, 29)(3, 27, 8, 32, 11, 35, 16, 40, 19, 43, 23, 47, 24, 48, 22, 46, 18, 42, 14, 38, 10, 34, 6, 30)(49, 73, 51, 75, 50, 74, 56, 80, 55, 79, 59, 83, 57, 81, 64, 88, 63, 87, 67, 91, 65, 89, 71, 95, 68, 92, 72, 96, 69, 93, 70, 94, 60, 84, 66, 90, 61, 85, 62, 86, 52, 76, 58, 82, 53, 77, 54, 78)
	L = (1, 52)(2, 53)(3, 58)(4, 60)(5, 61)(6, 62)(7, 49)(8, 54)(9, 50)(10, 66)(11, 51)(12, 68)(13, 69)(14, 70)(15, 55)(16, 56)(17, 57)(18, 72)(19, 59)(20, 63)(21, 65)(22, 71)(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) :: { ( 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, 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 E22.168
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (Y1^-1, Y2^-1), Y2^4 * Y3, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^6, Y3 * Y2 * Y3^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 21, 45, 19, 43, 22, 46, 11, 35, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 17, 41, 18, 42, 6, 30, 9, 33, 20, 44, 23, 47, 24, 48, 12, 36, 13, 37)(49, 73, 51, 75, 59, 83, 68, 92, 55, 79, 62, 86, 64, 88, 72, 96, 69, 93, 66, 90, 53, 77, 61, 85, 70, 94, 57, 81, 50, 74, 56, 80, 63, 87, 71, 95, 58, 82, 65, 89, 52, 76, 60, 84, 67, 91, 54, 78)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 61)(9, 66)(10, 50)(11, 67)(12, 71)(13, 72)(14, 51)(15, 70)(16, 59)(17, 56)(18, 62)(19, 58)(20, 54)(21, 55)(22, 69)(23, 57)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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, 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 E22.167
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y2^2 * Y1^-1 * Y3^-1, Y1^-3 * Y3^-1, Y1^-2 * Y2^-2, (Y2^-1, Y1^-1), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y3^3 * Y2^3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y2^6 * Y3^-2, Y3^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 7, 31, 12, 36, 20, 44, 18, 42, 24, 48, 13, 37, 21, 45, 14, 38, 3, 27, 9, 33, 6, 30, 11, 35, 19, 43, 17, 41, 23, 47, 15, 39, 22, 46, 16, 40, 4, 28, 10, 34, 5, 29)(49, 73, 51, 75, 58, 82, 69, 93, 64, 88, 72, 96, 63, 87, 68, 92, 65, 89, 55, 79, 59, 83, 50, 74, 57, 81, 53, 77, 62, 86, 52, 76, 61, 85, 70, 94, 66, 90, 71, 95, 60, 84, 67, 91, 56, 80, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 64)(6, 62)(7, 49)(8, 53)(9, 69)(10, 70)(11, 51)(12, 50)(13, 68)(14, 72)(15, 67)(16, 71)(17, 54)(18, 55)(19, 57)(20, 56)(21, 66)(22, 65)(23, 59)(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) :: { ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E22.156
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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, Y2 * Y1 * Y3, Y2 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y1^-1 * Y2 * Y1^-4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 22, 46, 19, 43, 14, 38, 5, 29)(3, 27, 7, 31, 10, 34, 15, 39, 18, 42, 24, 48, 21, 45, 12, 36)(4, 28, 6, 30, 9, 33, 17, 41, 23, 47, 20, 44, 11, 35, 13, 37)(49, 73, 51, 75, 59, 83, 67, 91, 72, 96, 65, 89, 56, 80, 58, 82, 52, 76, 53, 77, 60, 84, 68, 92, 70, 94, 66, 90, 57, 81, 50, 74, 55, 79, 61, 85, 62, 86, 69, 93, 71, 95, 64, 88, 63, 87, 54, 78)
	L = (1, 52)(2, 54)(3, 53)(4, 55)(5, 61)(6, 58)(7, 49)(8, 57)(9, 63)(10, 50)(11, 60)(12, 62)(13, 51)(14, 59)(15, 56)(16, 65)(17, 66)(18, 64)(19, 68)(20, 69)(21, 67)(22, 71)(23, 72)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.177
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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, Y2^2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), (Y2^-1, Y3), Y2^2 * Y3^-1 * Y1^2, Y1 * Y3^-1 * Y2^2 * Y1, Y1^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 13, 37, 23, 47, 21, 45, 18, 42, 5, 29)(3, 27, 9, 33, 17, 41, 24, 48, 20, 44, 7, 31, 12, 36, 14, 38)(4, 28, 10, 34, 22, 46, 15, 39, 19, 43, 6, 30, 11, 35, 16, 40)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 64, 88, 56, 80, 65, 89, 52, 76, 61, 85, 72, 96, 58, 82, 71, 95, 68, 92, 70, 94, 69, 93, 55, 79, 63, 87, 66, 90, 60, 84, 67, 91, 53, 77, 62, 86, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 64)(6, 65)(7, 49)(8, 70)(9, 71)(10, 60)(11, 72)(12, 50)(13, 63)(14, 56)(15, 51)(16, 68)(17, 69)(18, 59)(19, 57)(20, 53)(21, 54)(22, 62)(23, 67)(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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.176
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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, Y2^-3 * Y1^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1), (Y2^-1, Y3^-1), (R * Y1)^2, Y2 * Y1^2 * Y3 * Y1, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y1^8, (Y1 * Y3^-1 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 24, 48, 14, 38, 19, 43, 5, 29)(3, 27, 9, 33, 20, 44, 7, 31, 12, 36, 22, 46, 18, 42, 15, 39)(4, 28, 10, 34, 13, 37, 6, 30, 11, 35, 16, 40, 23, 47, 17, 41)(49, 73, 51, 75, 61, 85, 53, 77, 63, 87, 58, 82, 67, 91, 66, 90, 52, 76, 62, 86, 70, 94, 65, 89, 72, 96, 60, 84, 71, 95, 69, 93, 55, 79, 64, 88, 56, 80, 68, 92, 59, 83, 50, 74, 57, 81, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 65)(6, 66)(7, 49)(8, 61)(9, 67)(10, 60)(11, 63)(12, 50)(13, 70)(14, 64)(15, 72)(16, 51)(17, 68)(18, 69)(19, 71)(20, 53)(21, 54)(22, 56)(23, 57)(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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.178
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1 * Y3^2, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2^2 * Y3 * Y2^2, Y3^6, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 24, 48, 21, 45, 17, 41, 5, 29)(3, 27, 9, 33, 22, 46, 20, 44, 19, 43, 7, 31, 12, 36, 15, 39)(4, 28, 10, 34, 13, 37, 23, 47, 18, 42, 6, 30, 11, 35, 16, 40)(49, 73, 51, 75, 61, 85, 69, 93, 55, 79, 64, 88, 56, 80, 70, 94, 66, 90, 53, 77, 63, 87, 58, 82, 72, 96, 67, 91, 59, 83, 50, 74, 57, 81, 71, 95, 65, 89, 60, 84, 52, 76, 62, 86, 68, 92, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 57)(5, 64)(6, 60)(7, 49)(8, 61)(9, 72)(10, 70)(11, 63)(12, 50)(13, 68)(14, 71)(15, 56)(16, 51)(17, 59)(18, 55)(19, 53)(20, 65)(21, 54)(22, 69)(23, 67)(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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.180
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2^-3, Y1^2 * Y2^-1 * Y3 * Y2^-1, Y3^6, (Y3 * Y1^-2)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 21, 45, 23, 47, 16, 40, 5, 29)(3, 27, 7, 31, 10, 34, 19, 43, 22, 46, 13, 37, 15, 39, 11, 35)(4, 28, 6, 30, 9, 33, 12, 36, 17, 41, 20, 44, 24, 48, 14, 38)(49, 73, 51, 75, 57, 81, 50, 74, 55, 79, 60, 84, 56, 80, 58, 82, 65, 89, 66, 90, 67, 91, 68, 92, 69, 93, 70, 94, 72, 96, 71, 95, 61, 85, 62, 86, 64, 88, 63, 87, 52, 76, 53, 77, 59, 83, 54, 78)
	L = (1, 52)(2, 54)(3, 53)(4, 61)(5, 62)(6, 63)(7, 49)(8, 57)(9, 59)(10, 50)(11, 64)(12, 51)(13, 69)(14, 70)(15, 71)(16, 72)(17, 55)(18, 60)(19, 56)(20, 58)(21, 65)(22, 66)(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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.179
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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^-1, (Y3^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y3^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-2, (Y1 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 13, 37, 23, 47, 20, 44, 17, 41, 5, 29)(3, 27, 9, 33, 22, 46, 15, 39, 19, 43, 7, 31, 12, 36, 14, 38)(4, 28, 10, 34, 21, 45, 24, 48, 18, 42, 6, 30, 11, 35, 16, 40)(49, 73, 51, 75, 52, 76, 61, 85, 63, 87, 72, 96, 65, 89, 60, 84, 59, 83, 50, 74, 57, 81, 58, 82, 71, 95, 67, 91, 66, 90, 53, 77, 62, 86, 64, 88, 56, 80, 70, 94, 69, 93, 68, 92, 55, 79, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 64)(6, 51)(7, 49)(8, 69)(9, 71)(10, 67)(11, 57)(12, 50)(13, 72)(14, 56)(15, 65)(16, 70)(17, 59)(18, 62)(19, 53)(20, 54)(21, 55)(22, 68)(23, 66)(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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.181
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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, (Y2^-1, Y3), (Y2^-1, Y1), (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^3 * Y3^-1, Y1 * Y2^-1 * Y1^2 * Y3^-1, Y2^2 * Y1 * Y3 * Y1, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3, (Y2 * Y3 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 20, 44, 6, 30, 11, 35, 17, 41, 4, 28, 10, 34, 22, 46, 16, 40, 24, 48, 18, 42, 13, 37, 21, 45, 7, 31, 12, 36, 15, 39, 3, 27, 9, 33, 23, 47, 19, 43, 5, 29)(49, 73, 51, 75, 61, 85, 58, 82, 68, 92, 53, 77, 63, 87, 66, 90, 52, 76, 62, 86, 67, 91, 60, 84, 72, 96, 65, 89, 56, 80, 71, 95, 55, 79, 64, 88, 59, 83, 50, 74, 57, 81, 69, 93, 70, 94, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 65)(6, 66)(7, 49)(8, 70)(9, 68)(10, 60)(11, 61)(12, 50)(13, 67)(14, 64)(15, 56)(16, 51)(17, 69)(18, 71)(19, 59)(20, 72)(21, 53)(22, 63)(23, 54)(24, 57)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 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, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.171
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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, Y2^-1 * Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y3, Y2 * Y3 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^2 * Y1^-2)^2, (Y1^-1 * Y2)^4, Y1^24, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 22, 46, 21, 45, 13, 37, 3, 27, 4, 28, 9, 33, 15, 39, 18, 42, 24, 48, 20, 44, 11, 35, 12, 36, 7, 31, 6, 30, 10, 34, 17, 41, 23, 47, 19, 43, 14, 38, 5, 29)(49, 73, 51, 75, 59, 83, 67, 91, 70, 94, 66, 90, 58, 82, 50, 74, 52, 76, 60, 84, 62, 86, 69, 93, 72, 96, 65, 89, 56, 80, 57, 81, 55, 79, 53, 77, 61, 85, 68, 92, 71, 95, 64, 88, 63, 87, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 55)(5, 51)(6, 50)(7, 49)(8, 63)(9, 54)(10, 56)(11, 62)(12, 53)(13, 59)(14, 61)(15, 58)(16, 66)(17, 64)(18, 65)(19, 69)(20, 67)(21, 68)(22, 72)(23, 70)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.170
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 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, (Y2^-1, Y1^-1), Y1^-2 * Y2^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y3^-1, Y1), (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 24, 48, 14, 38, 22, 46, 15, 39, 4, 28, 10, 34, 18, 42, 6, 30, 11, 35, 3, 27, 9, 33, 19, 43, 7, 31, 12, 36, 21, 45, 16, 40, 23, 47, 13, 37, 17, 41, 5, 29)(49, 73, 51, 75, 56, 80, 67, 91, 72, 96, 60, 84, 70, 94, 64, 88, 52, 76, 61, 85, 66, 90, 53, 77, 59, 83, 50, 74, 57, 81, 68, 92, 55, 79, 62, 86, 69, 93, 63, 87, 71, 95, 58, 82, 65, 89, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 63)(6, 64)(7, 49)(8, 66)(9, 65)(10, 60)(11, 71)(12, 50)(13, 62)(14, 51)(15, 67)(16, 68)(17, 70)(18, 69)(19, 53)(20, 54)(21, 56)(22, 57)(23, 72)(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) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.172
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-3, Y2^-1 * Y3^-1 * Y2^-3, (Y1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 16, 40, 7, 31, 6, 30, 10, 34, 20, 44, 19, 43, 18, 42, 17, 41, 22, 46, 24, 48, 23, 47, 11, 35, 12, 36, 14, 38, 21, 45, 13, 37, 3, 27, 4, 28, 9, 33, 15, 39, 5, 29)(49, 73, 51, 75, 59, 83, 66, 90, 55, 79, 53, 77, 61, 85, 71, 95, 67, 91, 64, 88, 63, 87, 69, 93, 72, 96, 68, 92, 56, 80, 57, 81, 62, 86, 70, 94, 58, 82, 50, 74, 52, 76, 60, 84, 65, 89, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 51)(6, 50)(7, 49)(8, 63)(9, 69)(10, 56)(11, 65)(12, 70)(13, 59)(14, 72)(15, 61)(16, 53)(17, 58)(18, 54)(19, 55)(20, 64)(21, 71)(22, 68)(23, 66)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.174
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y1 * Y3, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-2, (R * Y2)^2, Y3^-1 * Y1^3 * Y2^-1, Y2 * Y1^-1 * Y3^-1 * Y2^2, Y1 * Y2^-1 * Y3 * Y2^-2, (Y1 * Y2)^3, 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 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 14, 38, 7, 31, 12, 36, 15, 39, 3, 27, 9, 33, 22, 46, 21, 45, 16, 40, 24, 48, 19, 43, 13, 37, 23, 47, 17, 41, 6, 30, 11, 35, 18, 42, 4, 28, 10, 34, 20, 44, 5, 29)(49, 73, 51, 75, 61, 85, 58, 82, 55, 79, 64, 88, 59, 83, 50, 74, 57, 81, 71, 95, 68, 92, 60, 84, 72, 96, 66, 90, 56, 80, 70, 94, 65, 89, 53, 77, 63, 87, 67, 91, 52, 76, 62, 86, 69, 93, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 68)(9, 55)(10, 54)(11, 61)(12, 50)(13, 69)(14, 53)(15, 56)(16, 51)(17, 72)(18, 71)(19, 70)(20, 59)(21, 63)(22, 60)(23, 64)(24, 57)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 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, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.173
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 24, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y2^-2 * Y3, (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3^2 * Y1^-1 * Y3^-2, Y2 * Y3^5 * Y1, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 12, 36, 18, 42, 20, 44, 23, 47, 21, 45, 15, 39, 13, 37, 6, 30, 10, 34, 3, 27, 8, 32, 11, 35, 17, 41, 19, 43, 24, 48, 22, 46, 16, 40, 14, 38, 7, 31, 5, 29)(49, 73, 51, 75, 52, 76, 59, 83, 60, 84, 67, 91, 68, 92, 70, 94, 69, 93, 62, 86, 61, 85, 53, 77, 58, 82, 50, 74, 56, 80, 57, 81, 65, 89, 66, 90, 72, 96, 71, 95, 64, 88, 63, 87, 55, 79, 54, 78)
	L = (1, 52)(2, 57)(3, 59)(4, 60)(5, 50)(6, 51)(7, 49)(8, 65)(9, 66)(10, 56)(11, 67)(12, 68)(13, 58)(14, 53)(15, 54)(16, 55)(17, 72)(18, 71)(19, 70)(20, 69)(21, 61)(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) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.175
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), R * Y2 * R * Y3^-1, (R * Y1)^2, Y1^-5, Y2^2 * Y3^-2 * Y1^-1 * Y2, Y3 * Y1 * Y2^-4, Y3^15 * Y1^-2, Y1^-1 * Y2 * 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 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 13, 38, 5, 30)(3, 28, 7, 32, 14, 39, 19, 44, 10, 35)(4, 29, 8, 33, 15, 40, 21, 46, 12, 37)(9, 34, 16, 41, 22, 47, 24, 49, 18, 43)(11, 36, 17, 42, 23, 48, 25, 50, 20, 45)(51, 76, 53, 78, 59, 84, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 73, 98, 65, 90, 56, 81, 64, 89, 72, 97, 75, 100, 71, 96, 63, 88, 69, 94, 74, 99, 70, 95, 62, 87, 55, 80, 60, 85, 68, 93, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 65)(7, 52)(8, 67)(9, 53)(10, 55)(11, 68)(12, 70)(13, 71)(14, 56)(15, 73)(16, 57)(17, 59)(18, 60)(19, 63)(20, 74)(21, 75)(22, 64)(23, 66)(24, 69)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.231
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (Y3^-1, Y1), (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^5, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y3^2 * Y2^-2 * Y3, Y3^-25, Y2^25, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 13, 38, 5, 30)(3, 28, 7, 32, 14, 39, 20, 45, 10, 35)(4, 29, 8, 33, 15, 40, 21, 46, 12, 37)(9, 34, 16, 41, 22, 47, 25, 50, 19, 44)(11, 36, 17, 42, 23, 48, 24, 49, 18, 43)(51, 76, 53, 78, 59, 84, 68, 93, 62, 87, 55, 80, 60, 85, 69, 94, 74, 99, 71, 96, 63, 88, 70, 95, 75, 100, 73, 98, 65, 90, 56, 81, 64, 89, 72, 97, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 65)(7, 52)(8, 67)(9, 53)(10, 55)(11, 66)(12, 68)(13, 71)(14, 56)(15, 73)(16, 57)(17, 72)(18, 59)(19, 60)(20, 63)(21, 74)(22, 64)(23, 75)(24, 69)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.224
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.184 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, (Y1, Y3^-1), Y1^5, Y1 * Y2 * Y1 * Y2 * Y3^-3, Y2^3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1^-1 * Y2^2 * Y3^-2 * Y1^-2, Y3^-25, Y2^25, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 13, 38, 5, 30)(3, 28, 7, 32, 14, 39, 20, 45, 10, 35)(4, 29, 8, 33, 15, 40, 23, 48, 12, 37)(9, 34, 16, 41, 21, 46, 25, 50, 19, 44)(11, 36, 17, 42, 24, 49, 18, 43, 22, 47)(51, 76, 53, 78, 59, 84, 68, 93, 73, 98, 63, 88, 70, 95, 75, 100, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 72, 97, 62, 87, 55, 80, 60, 85, 69, 94, 74, 99, 65, 90, 56, 81, 64, 89, 71, 96, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 65)(7, 52)(8, 67)(9, 53)(10, 55)(11, 71)(12, 72)(13, 73)(14, 56)(15, 74)(16, 57)(17, 75)(18, 59)(19, 60)(20, 63)(21, 64)(22, 66)(23, 68)(24, 69)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.237
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.185 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), (R * Y1)^2, R * Y2 * R * Y3^-1, Y1^5, Y1^5, Y2^-5 * Y1^2, Y1 * Y2^-1 * Y1 * Y3^4, Y2^-2 * Y1^-1 * Y3 * Y2^-2 * Y1^-2, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 13, 38, 5, 30)(3, 28, 7, 32, 14, 39, 20, 45, 10, 35)(4, 29, 8, 33, 15, 40, 23, 48, 12, 37)(9, 34, 16, 41, 24, 49, 21, 46, 19, 44)(11, 36, 17, 42, 18, 43, 25, 50, 22, 47)(51, 76, 53, 78, 59, 84, 68, 93, 65, 90, 56, 81, 64, 89, 74, 99, 72, 97, 62, 87, 55, 80, 60, 85, 69, 94, 67, 92, 58, 83, 52, 77, 57, 82, 66, 91, 75, 100, 73, 98, 63, 88, 70, 95, 71, 96, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 65)(7, 52)(8, 67)(9, 53)(10, 55)(11, 71)(12, 72)(13, 73)(14, 56)(15, 68)(16, 57)(17, 69)(18, 59)(19, 60)(20, 63)(21, 70)(22, 74)(23, 75)(24, 64)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.236
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^-1 * Y2^-1 * Y1 * Y3^-1, (Y2, Y1^-1), (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y1^5, Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y3, Y2^-1 * Y1 * Y3^8 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 5, 30)(3, 28, 9, 34, 18, 43, 22, 47, 13, 38)(4, 29, 10, 35, 19, 44, 23, 48, 14, 39)(6, 31, 11, 36, 20, 45, 24, 49, 16, 41)(7, 32, 12, 37, 21, 46, 25, 50, 17, 42)(51, 76, 53, 78, 54, 79, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 71, 96, 70, 95, 58, 83, 68, 93, 69, 94, 75, 100, 74, 99, 65, 90, 72, 97, 73, 98, 67, 92, 66, 91, 55, 80, 63, 88, 64, 89, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 61)(5, 64)(6, 53)(7, 51)(8, 69)(9, 71)(10, 70)(11, 59)(12, 52)(13, 57)(14, 56)(15, 73)(16, 63)(17, 55)(18, 75)(19, 74)(20, 68)(21, 58)(22, 67)(23, 66)(24, 72)(25, 65)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.215
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-2, (Y1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y1^5, Y2^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1, Y1 * Y3^-10 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 5, 30)(3, 28, 9, 34, 18, 43, 23, 48, 14, 39)(4, 29, 10, 35, 19, 44, 25, 50, 16, 41)(6, 31, 11, 36, 20, 45, 24, 49, 15, 40)(7, 32, 12, 37, 21, 46, 22, 47, 13, 38)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 55, 80, 64, 89, 66, 91, 72, 97, 74, 99, 67, 92, 73, 98, 75, 100, 71, 96, 70, 95, 58, 83, 68, 93, 69, 94, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 69)(9, 57)(10, 56)(11, 59)(12, 52)(13, 55)(14, 72)(15, 64)(16, 74)(17, 75)(18, 62)(19, 61)(20, 68)(21, 58)(22, 67)(23, 71)(24, 73)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.214
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, (R * Y3)^2, (Y2^-1, Y1), (Y1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y1^-2 * Y2^-1 * Y3^-2, Y1^5, Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 5, 30)(3, 28, 9, 34, 21, 46, 25, 50, 14, 39)(4, 29, 10, 35, 20, 45, 24, 49, 16, 41)(6, 31, 11, 36, 22, 47, 15, 40, 18, 43)(7, 32, 12, 37, 23, 48, 13, 38, 19, 44)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 67, 92, 75, 100, 74, 99, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 69, 94, 68, 93, 55, 80, 64, 89, 66, 91, 73, 98, 72, 97, 58, 83, 71, 96, 70, 95, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 70)(9, 69)(10, 68)(11, 59)(12, 52)(13, 67)(14, 73)(15, 75)(16, 72)(17, 74)(18, 64)(19, 55)(20, 56)(21, 57)(22, 71)(23, 58)(24, 61)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.217
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y2^-1), (Y3, Y1), Y3^2 * Y1^-1 * Y2 * Y1^-1, Y1^5, Y3^10 * Y1^2, Y3^-18 * Y2 * Y1^-1, (Y1^-1 * Y3^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 5, 30)(3, 28, 9, 34, 22, 47, 21, 46, 14, 39)(4, 29, 10, 35, 23, 48, 20, 45, 16, 41)(6, 31, 11, 36, 15, 40, 25, 50, 18, 43)(7, 32, 12, 37, 13, 38, 24, 49, 19, 44)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 58, 83, 72, 97, 73, 98, 69, 94, 68, 93, 55, 80, 64, 89, 66, 91, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 74, 99, 75, 100, 67, 92, 71, 96, 70, 95, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 73)(9, 74)(10, 75)(11, 59)(12, 52)(13, 58)(14, 62)(15, 72)(16, 61)(17, 70)(18, 64)(19, 55)(20, 56)(21, 57)(22, 69)(23, 68)(24, 67)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.216
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y1^-1 * Y3^2 * Y2^-1, (Y3^-1, Y1^-1), Y1 * Y3^-2 * Y2, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^5, Y1 * Y3 * Y1 * Y3 * Y1^2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^2 * Y2^2, Y1 * Y3 * 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 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 5, 30)(3, 28, 9, 34, 18, 43, 22, 47, 13, 38)(4, 29, 10, 35, 19, 44, 23, 48, 14, 39)(6, 31, 11, 36, 20, 45, 24, 49, 16, 41)(7, 32, 12, 37, 21, 46, 25, 50, 17, 42)(51, 76, 53, 78, 57, 82, 64, 89, 66, 91, 55, 80, 63, 88, 67, 92, 73, 98, 74, 99, 65, 90, 72, 97, 75, 100, 69, 94, 70, 95, 58, 83, 68, 93, 71, 96, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 59)(5, 64)(6, 62)(7, 51)(8, 69)(9, 61)(10, 68)(11, 71)(12, 52)(13, 66)(14, 53)(15, 73)(16, 57)(17, 55)(18, 70)(19, 72)(20, 75)(21, 58)(22, 74)(23, 63)(24, 67)(25, 65)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.228
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1), (Y3^-1, Y1), (R * Y1)^2, Y3^2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^5, Y3^-6 * Y1 * Y3^-1 * Y2, 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 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 5, 30)(3, 28, 9, 34, 15, 40, 24, 49, 13, 38)(4, 29, 10, 35, 22, 47, 14, 39, 16, 41)(6, 31, 11, 36, 23, 48, 21, 46, 19, 44)(7, 32, 12, 37, 17, 42, 25, 50, 20, 45)(51, 76, 53, 78, 57, 82, 64, 89, 71, 96, 68, 93, 74, 99, 75, 100, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 66, 91, 69, 94, 55, 80, 63, 88, 70, 95, 72, 97, 73, 98, 58, 83, 65, 90, 67, 92, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 66)(6, 67)(7, 51)(8, 72)(9, 61)(10, 74)(11, 75)(12, 52)(13, 69)(14, 53)(15, 73)(16, 59)(17, 58)(18, 64)(19, 62)(20, 55)(21, 57)(22, 63)(23, 70)(24, 71)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.227
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1, Y1), (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^5, Y3^-1 * Y2 * Y1^-2 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-2 * Y3, Y1^-1 * Y3^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 5, 30)(3, 28, 9, 34, 22, 47, 15, 40, 13, 38)(4, 29, 10, 35, 14, 39, 24, 49, 16, 41)(6, 31, 11, 36, 21, 46, 25, 50, 19, 44)(7, 32, 12, 37, 23, 48, 17, 42, 20, 45)(51, 76, 53, 78, 57, 82, 64, 89, 71, 96, 58, 83, 72, 97, 73, 98, 66, 91, 69, 94, 55, 80, 63, 88, 70, 95, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 74, 99, 75, 100, 68, 93, 65, 90, 67, 92, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 66)(6, 67)(7, 51)(8, 64)(9, 61)(10, 63)(11, 70)(12, 52)(13, 69)(14, 53)(15, 75)(16, 72)(17, 68)(18, 74)(19, 73)(20, 55)(21, 57)(22, 71)(23, 58)(24, 59)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.211
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1, Y3^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2, Y3 * Y2^2 * Y1^-1, (R * Y1)^2, Y2 * Y3 * Y2 * Y1^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y1, Y2^-1), Y1^5, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1, Y3^8 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 5, 30)(3, 28, 9, 34, 18, 43, 22, 47, 13, 38)(4, 29, 10, 35, 19, 44, 23, 48, 14, 39)(6, 31, 11, 36, 20, 45, 24, 49, 16, 41)(7, 32, 12, 37, 21, 46, 25, 50, 17, 42)(51, 76, 53, 78, 62, 87, 54, 79, 61, 86, 52, 77, 59, 84, 71, 96, 60, 85, 70, 95, 58, 83, 68, 93, 75, 100, 69, 94, 74, 99, 65, 90, 72, 97, 67, 92, 73, 98, 66, 91, 55, 80, 63, 88, 57, 82, 64, 89, 56, 81)
	L = (1, 54)(2, 60)(3, 61)(4, 59)(5, 64)(6, 62)(7, 51)(8, 69)(9, 70)(10, 68)(11, 71)(12, 52)(13, 56)(14, 53)(15, 73)(16, 57)(17, 55)(18, 74)(19, 72)(20, 75)(21, 58)(22, 66)(23, 63)(24, 67)(25, 65)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.226
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (R * Y1)^2, (Y2^-1, Y3^-1), (Y1^-1, Y2^-1), (Y1^-1, Y3), (R * Y3)^2, (R * Y2)^2, Y1 * Y3^2 * Y2^-1 * Y1, Y2 * Y1 * Y3 * Y2 * Y1, Y1 * Y2^-1 * Y3^-3, Y1^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 19, 44, 5, 30)(3, 28, 9, 34, 22, 47, 17, 42, 15, 40)(4, 29, 10, 35, 16, 41, 25, 50, 18, 43)(6, 31, 11, 36, 23, 48, 14, 39, 20, 45)(7, 32, 12, 37, 24, 49, 13, 38, 21, 46)(51, 76, 53, 78, 63, 88, 54, 79, 64, 89, 69, 94, 67, 92, 62, 87, 75, 100, 61, 86, 52, 77, 59, 84, 71, 96, 60, 85, 70, 95, 55, 80, 65, 90, 74, 99, 68, 93, 73, 98, 58, 83, 72, 97, 57, 82, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 63)(7, 51)(8, 66)(9, 70)(10, 65)(11, 71)(12, 52)(13, 69)(14, 62)(15, 73)(16, 53)(17, 61)(18, 72)(19, 75)(20, 74)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.210
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (Y1^-1, Y2), (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y3), (R * Y2)^2, Y3 * Y2 * Y3^2 * Y1, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y1^5, Y3^-2 * Y1 * Y2 * Y1, Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 19, 44, 5, 30)(3, 28, 9, 34, 17, 42, 22, 47, 15, 40)(4, 29, 10, 35, 24, 49, 16, 41, 18, 43)(6, 31, 11, 36, 14, 39, 23, 48, 20, 45)(7, 32, 12, 37, 13, 38, 25, 50, 21, 46)(51, 76, 53, 78, 63, 88, 54, 79, 64, 89, 58, 83, 67, 92, 71, 96, 74, 99, 70, 95, 55, 80, 65, 90, 62, 87, 68, 93, 61, 86, 52, 77, 59, 84, 75, 100, 60, 85, 73, 98, 69, 94, 72, 97, 57, 82, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 63)(7, 51)(8, 74)(9, 73)(10, 72)(11, 75)(12, 52)(13, 58)(14, 71)(15, 61)(16, 53)(17, 70)(18, 59)(19, 66)(20, 62)(21, 55)(22, 56)(23, 57)(24, 65)(25, 69)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.229
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1^-1), Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y3^-2 * Y1 * Y2^-1, (Y3, Y1^-1), Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2^-3, Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3^-2, Y1^5, Y3 * Y1 * Y3^-3 * Y2^-1, Y1^-2 * Y3^-5, Y3^8 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 16, 41, 5, 30)(3, 28, 9, 34, 18, 43, 23, 48, 14, 39)(4, 29, 10, 35, 19, 44, 22, 47, 13, 38)(6, 31, 11, 36, 20, 45, 24, 49, 15, 40)(7, 32, 12, 37, 21, 46, 25, 50, 17, 42)(51, 76, 53, 78, 63, 88, 57, 82, 65, 90, 55, 80, 64, 89, 72, 97, 67, 92, 74, 99, 66, 91, 73, 98, 69, 94, 75, 100, 70, 95, 58, 83, 68, 93, 60, 85, 71, 96, 61, 86, 52, 77, 59, 84, 54, 79, 62, 87, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 61)(5, 63)(6, 59)(7, 51)(8, 69)(9, 71)(10, 70)(11, 68)(12, 52)(13, 56)(14, 57)(15, 53)(16, 72)(17, 55)(18, 75)(19, 74)(20, 73)(21, 58)(22, 65)(23, 67)(24, 64)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.220
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, (Y2^-1, Y3^-1), (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-2, Y1^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 5, 30)(3, 28, 9, 34, 19, 44, 23, 48, 15, 40)(4, 29, 10, 35, 24, 49, 13, 38, 18, 43)(6, 31, 11, 36, 17, 42, 16, 41, 21, 46)(7, 32, 12, 37, 14, 39, 25, 50, 22, 47)(51, 76, 53, 78, 63, 88, 57, 82, 66, 91, 70, 95, 73, 98, 60, 85, 75, 100, 61, 86, 52, 77, 59, 84, 68, 93, 62, 87, 71, 96, 55, 80, 65, 90, 74, 99, 72, 97, 67, 92, 58, 83, 69, 94, 54, 79, 64, 89, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 74)(9, 75)(10, 66)(11, 73)(12, 52)(13, 56)(14, 58)(15, 62)(16, 53)(17, 65)(18, 61)(19, 72)(20, 63)(21, 59)(22, 55)(23, 57)(24, 71)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.230
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2^2, (R * Y1)^2, (Y3^-1, Y1), (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3 * Y2^-1 * Y3^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1^2 * Y3 * Y2^-1, Y3 * Y1^2 * Y2^-2, Y1^5, Y1 * Y2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 5, 30)(3, 28, 9, 34, 23, 48, 19, 44, 15, 40)(4, 29, 10, 35, 13, 38, 25, 50, 18, 43)(6, 31, 11, 36, 16, 41, 17, 42, 21, 46)(7, 32, 12, 37, 24, 49, 14, 39, 22, 47)(51, 76, 53, 78, 63, 88, 57, 82, 66, 91, 58, 83, 73, 98, 68, 93, 74, 99, 71, 96, 55, 80, 65, 90, 60, 85, 72, 97, 61, 86, 52, 77, 59, 84, 75, 100, 62, 87, 67, 92, 70, 95, 69, 94, 54, 79, 64, 89, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 63)(9, 72)(10, 71)(11, 65)(12, 52)(13, 56)(14, 70)(15, 74)(16, 53)(17, 59)(18, 66)(19, 62)(20, 75)(21, 73)(22, 55)(23, 57)(24, 58)(25, 61)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.222
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-3 * Y3 * Y2^-1, Y1^5, Y3^5 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2^-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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 5, 30)(3, 28, 9, 34, 20, 45, 17, 42, 7, 32)(4, 29, 10, 35, 21, 46, 16, 41, 6, 31)(11, 36, 22, 47, 25, 50, 19, 44, 12, 37)(13, 38, 23, 48, 24, 49, 18, 43, 14, 39)(51, 76, 53, 78, 61, 86, 64, 89, 54, 79, 52, 77, 59, 84, 72, 97, 63, 88, 60, 85, 58, 83, 70, 95, 75, 100, 73, 98, 71, 96, 65, 90, 67, 92, 69, 94, 74, 99, 66, 91, 55, 80, 57, 82, 62, 87, 68, 93, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 63)(5, 56)(6, 64)(7, 51)(8, 71)(9, 58)(10, 73)(11, 59)(12, 53)(13, 75)(14, 72)(15, 66)(16, 68)(17, 55)(18, 61)(19, 57)(20, 65)(21, 74)(22, 70)(23, 69)(24, 62)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.232
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3), (Y3^-1, Y2), (R * Y3)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y2 * Y1^2 * Y3, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2 * Y3^-1 * Y2^3, Y1 * Y3 * Y2^-1 * Y3^3 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 5, 30)(3, 28, 9, 34, 7, 32, 12, 37, 15, 40)(4, 29, 10, 35, 6, 31, 11, 36, 18, 43)(13, 38, 22, 47, 16, 41, 23, 48, 21, 46)(17, 42, 24, 49, 19, 44, 25, 50, 20, 45)(51, 76, 53, 78, 63, 88, 69, 94, 54, 79, 64, 89, 62, 87, 73, 98, 67, 92, 61, 86, 52, 77, 59, 84, 72, 97, 75, 100, 60, 85, 55, 80, 65, 90, 71, 96, 74, 99, 68, 93, 58, 83, 57, 82, 66, 91, 70, 95, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 56)(9, 55)(10, 74)(11, 75)(12, 52)(13, 62)(14, 61)(15, 58)(16, 53)(17, 72)(18, 70)(19, 73)(20, 63)(21, 57)(22, 65)(23, 59)(24, 66)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.233
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y3^-1 * Y2^-1 * Y1^2, Y1^-1 * Y3 * Y2 * Y1^-1, (Y3^-1, Y1^-1), Y3 * Y1^-1 * Y2 * Y1^-1, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3 * Y1, Y2^2 * Y3^-1 * Y2^2, Y1 * Y3^2 * Y2^2, Y2 * Y3^-2 * Y2 * Y1^-1 * Y3^-1, (Y1^-1 * Y3^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 5, 30)(3, 28, 9, 34, 19, 44, 7, 32, 12, 37)(4, 29, 10, 35, 18, 43, 6, 31, 11, 36)(13, 38, 21, 46, 25, 50, 14, 39, 22, 47)(15, 40, 20, 45, 24, 49, 16, 41, 23, 48)(51, 76, 53, 78, 63, 88, 66, 91, 54, 79, 58, 83, 69, 94, 75, 100, 65, 90, 68, 93, 55, 80, 62, 87, 72, 97, 74, 99, 61, 86, 52, 77, 59, 84, 71, 96, 73, 98, 60, 85, 67, 92, 57, 82, 64, 89, 70, 95, 56, 81)
	L = (1, 54)(2, 60)(3, 58)(4, 65)(5, 61)(6, 66)(7, 51)(8, 68)(9, 67)(10, 70)(11, 73)(12, 52)(13, 69)(14, 53)(15, 72)(16, 75)(17, 56)(18, 74)(19, 55)(20, 63)(21, 57)(22, 59)(23, 64)(24, 71)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.225
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y3^-2, Y2 * Y3^-4, Y1^5, Y1 * Y2^5, 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 * Y3^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 5, 30)(3, 28, 9, 34, 20, 45, 17, 42, 7, 32)(4, 29, 10, 35, 21, 46, 16, 41, 6, 31)(11, 36, 22, 47, 25, 50, 19, 44, 12, 37)(13, 38, 23, 48, 24, 49, 18, 43, 14, 39)(51, 76, 53, 78, 61, 86, 74, 99, 66, 91, 55, 80, 57, 82, 62, 87, 73, 98, 71, 96, 65, 90, 67, 92, 69, 94, 63, 88, 60, 85, 58, 83, 70, 95, 75, 100, 64, 89, 54, 79, 52, 77, 59, 84, 72, 97, 68, 93, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 63)(5, 56)(6, 64)(7, 51)(8, 71)(9, 58)(10, 73)(11, 59)(12, 53)(13, 62)(14, 69)(15, 66)(16, 68)(17, 55)(18, 75)(19, 57)(20, 65)(21, 74)(22, 70)(23, 61)(24, 72)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.234
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3, Y2), Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-1, (Y3^-1, Y1), (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^-4 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y1^-1 * Y3^2 * Y2^2, Y2^-1 * Y3^-1 * Y1^3, Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 5, 30)(3, 28, 9, 34, 7, 32, 12, 37, 15, 40)(4, 29, 10, 35, 6, 31, 11, 36, 18, 43)(13, 38, 22, 47, 16, 41, 23, 48, 21, 46)(17, 42, 24, 49, 19, 44, 25, 50, 20, 45)(51, 76, 53, 78, 63, 88, 74, 99, 68, 93, 58, 83, 57, 82, 66, 91, 75, 100, 60, 85, 55, 80, 65, 90, 71, 96, 67, 92, 61, 86, 52, 77, 59, 84, 72, 97, 69, 94, 54, 79, 64, 89, 62, 87, 73, 98, 70, 95, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 56)(9, 55)(10, 74)(11, 75)(12, 52)(13, 62)(14, 61)(15, 58)(16, 53)(17, 66)(18, 70)(19, 71)(20, 72)(21, 57)(22, 65)(23, 59)(24, 73)(25, 63)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.235
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y1), (Y3, Y2), (Y2^-1, Y1^-1), Y1 * Y2^2 * Y3^-1, (R * Y3)^2, Y2^2 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y3^2, Y1 * Y3 * Y2 * Y3 * Y1, Y1^5, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y1^-2 * Y3 * Y2 * Y1^-1, Y1 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 5, 30)(3, 28, 9, 34, 21, 46, 25, 50, 15, 40)(4, 29, 10, 35, 20, 45, 24, 49, 13, 38)(6, 31, 11, 36, 22, 47, 17, 42, 16, 41)(7, 32, 12, 37, 23, 48, 14, 39, 19, 44)(51, 76, 53, 78, 63, 88, 73, 98, 61, 86, 52, 77, 59, 84, 54, 79, 64, 89, 72, 97, 58, 83, 71, 96, 60, 85, 69, 94, 67, 92, 68, 93, 75, 100, 70, 95, 57, 82, 66, 91, 55, 80, 65, 90, 74, 99, 62, 87, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 63)(6, 59)(7, 51)(8, 70)(9, 69)(10, 66)(11, 71)(12, 52)(13, 72)(14, 68)(15, 73)(16, 53)(17, 65)(18, 74)(19, 55)(20, 56)(21, 57)(22, 75)(23, 58)(24, 61)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.223
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y3^-2 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y1^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), (Y3^-1, Y2), Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y1^5, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-2, (Y2^-1 * Y3)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 5, 30)(3, 28, 9, 34, 22, 47, 19, 44, 15, 40)(4, 29, 10, 35, 13, 38, 24, 49, 18, 43)(6, 31, 11, 36, 16, 41, 25, 50, 17, 42)(7, 32, 12, 37, 23, 48, 21, 46, 14, 39)(51, 76, 53, 78, 63, 88, 62, 87, 75, 100, 70, 95, 69, 94, 54, 79, 64, 89, 61, 86, 52, 77, 59, 84, 74, 99, 73, 98, 67, 92, 55, 80, 65, 90, 60, 85, 57, 82, 66, 91, 58, 83, 72, 97, 68, 93, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 63)(9, 57)(10, 56)(11, 65)(12, 52)(13, 61)(14, 55)(15, 71)(16, 53)(17, 72)(18, 75)(19, 73)(20, 74)(21, 70)(22, 62)(23, 58)(24, 66)(25, 59)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.218
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y2^-2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y2, (Y3^-1, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y3^3, Y3 * Y1^2 * Y3 * Y2^-1, Y1^5, Y2^-1 * Y1^-2 * Y3^2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2^22, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y3^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 5, 30)(3, 28, 9, 34, 22, 47, 15, 40, 13, 38)(4, 29, 10, 35, 14, 39, 24, 49, 16, 41)(6, 31, 11, 36, 21, 46, 25, 50, 19, 44)(7, 32, 12, 37, 23, 48, 17, 42, 20, 45)(51, 76, 53, 78, 62, 87, 74, 99, 69, 94, 55, 80, 63, 88, 57, 82, 64, 89, 75, 100, 68, 93, 65, 90, 70, 95, 60, 85, 71, 96, 58, 83, 72, 97, 67, 92, 54, 79, 61, 86, 52, 77, 59, 84, 73, 98, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 61)(4, 65)(5, 66)(6, 67)(7, 51)(8, 64)(9, 71)(10, 63)(11, 70)(12, 52)(13, 56)(14, 53)(15, 69)(16, 72)(17, 68)(18, 74)(19, 73)(20, 55)(21, 57)(22, 75)(23, 58)(24, 59)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.212
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^3, (Y2^-1, Y3^-1), (Y2^-1, Y1), (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y3^-1 * Y2^2, Y3^-1 * Y2 * Y1 * Y2^2, Y3 * Y1^2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y3^2 * Y1, Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y1^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 5, 30)(3, 28, 9, 34, 24, 49, 17, 42, 15, 40)(4, 29, 10, 35, 16, 41, 23, 48, 18, 43)(6, 31, 11, 36, 14, 39, 25, 50, 21, 46)(7, 32, 12, 37, 13, 38, 19, 44, 22, 47)(51, 76, 53, 78, 63, 88, 68, 93, 61, 86, 52, 77, 59, 84, 69, 94, 54, 79, 64, 89, 58, 83, 74, 99, 72, 97, 60, 85, 75, 100, 70, 95, 67, 92, 57, 82, 66, 91, 71, 96, 55, 80, 65, 90, 62, 87, 73, 98, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 66)(9, 75)(10, 65)(11, 72)(12, 52)(13, 58)(14, 57)(15, 61)(16, 53)(17, 56)(18, 74)(19, 70)(20, 73)(21, 63)(22, 55)(23, 59)(24, 71)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.213
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y3, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2), (Y3, Y1), (R * Y3)^2, Y3 * Y1^-2 * Y2^-2, Y1^5, Y1^-1 * Y2 * Y3 * Y2^2, Y3 * Y1^2 * Y3 * Y2, Y2^-1 * Y1 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 19, 44, 5, 30)(3, 28, 9, 34, 18, 43, 25, 50, 15, 40)(4, 29, 10, 35, 23, 48, 13, 38, 17, 42)(6, 31, 11, 36, 24, 49, 16, 41, 20, 45)(7, 32, 12, 37, 22, 47, 14, 39, 21, 46)(51, 76, 53, 78, 63, 88, 62, 87, 70, 95, 55, 80, 65, 90, 73, 98, 57, 82, 66, 91, 69, 94, 75, 100, 60, 85, 71, 96, 74, 99, 58, 83, 68, 93, 54, 79, 64, 89, 61, 86, 52, 77, 59, 84, 67, 92, 72, 97, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 66)(5, 67)(6, 68)(7, 51)(8, 73)(9, 71)(10, 70)(11, 75)(12, 52)(13, 61)(14, 69)(15, 72)(16, 53)(17, 74)(18, 57)(19, 63)(20, 59)(21, 55)(22, 58)(23, 56)(24, 65)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.221
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2 * Y1^-2, (Y2^-1, Y3^-1), Y2 * Y3 * Y1^-2, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y1^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^4 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 17, 42, 5, 30)(3, 28, 9, 34, 19, 44, 7, 32, 12, 37)(4, 29, 10, 35, 18, 43, 6, 31, 11, 36)(13, 38, 21, 46, 25, 50, 14, 39, 22, 47)(15, 40, 20, 45, 24, 49, 16, 41, 23, 48)(51, 76, 53, 78, 63, 88, 74, 99, 61, 86, 52, 77, 59, 84, 71, 96, 66, 91, 54, 79, 58, 83, 69, 94, 75, 100, 73, 98, 60, 85, 67, 92, 57, 82, 64, 89, 65, 90, 68, 93, 55, 80, 62, 87, 72, 97, 70, 95, 56, 81)
	L = (1, 54)(2, 60)(3, 58)(4, 65)(5, 61)(6, 66)(7, 51)(8, 68)(9, 67)(10, 70)(11, 73)(12, 52)(13, 69)(14, 53)(15, 63)(16, 64)(17, 56)(18, 74)(19, 55)(20, 71)(21, 57)(22, 59)(23, 72)(24, 75)(25, 62)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.219
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.210 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, (R * Y3)^2, (Y3^-1, Y1^-1), (Y1, Y2^-1), (R * Y1)^2, Y3^-4 * Y1, Y1 * Y3 * Y1^5, Y1^2 * Y2 * Y3^-1 * Y1^-2 * Y2^-2, (Y1^-1 * Y3^-1)^5, Y2^25, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 14, 39, 19, 44, 10, 35, 3, 28, 7, 32, 15, 40, 22, 47, 24, 49, 18, 43, 9, 34, 11, 36, 17, 42, 23, 48, 25, 50, 20, 45, 12, 37, 4, 29, 8, 33, 16, 41, 21, 46, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 62, 87, 55, 80, 60, 85, 68, 93, 70, 95, 63, 88, 69, 94, 74, 99, 75, 100, 71, 96, 64, 89, 72, 97, 73, 98, 66, 91, 56, 81, 65, 90, 67, 92, 58, 83, 52, 77, 57, 82, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 66)(7, 52)(8, 67)(9, 53)(10, 55)(11, 57)(12, 59)(13, 70)(14, 71)(15, 56)(16, 73)(17, 65)(18, 60)(19, 63)(20, 68)(21, 75)(22, 64)(23, 72)(24, 69)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.194
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.211 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y3 * Y2, (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y1^-1 * Y3^-1 * Y1 * Y2^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y1^3, Y1 * Y2^-1 * Y3^-2 * Y1^-1 * Y3, Y3^-2 * Y1^-1 * Y3^-4, (Y1^-1 * Y2)^5, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 12, 37, 4, 29, 8, 33, 14, 39, 21, 46, 11, 36, 16, 41, 22, 47, 25, 50, 20, 45, 17, 42, 23, 48, 24, 49, 18, 43, 9, 34, 15, 40, 19, 44, 10, 35, 3, 28, 7, 32, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 67, 92, 66, 91, 58, 83, 52, 77, 57, 82, 65, 90, 73, 98, 72, 97, 64, 89, 56, 81, 63, 88, 69, 94, 74, 99, 75, 100, 71, 96, 62, 87, 55, 80, 60, 85, 68, 93, 70, 95, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 64)(7, 52)(8, 66)(9, 53)(10, 55)(11, 70)(12, 71)(13, 56)(14, 72)(15, 57)(16, 67)(17, 59)(18, 60)(19, 63)(20, 68)(21, 75)(22, 73)(23, 65)(24, 69)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.192
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^-1 * Y3^-1 * Y1 * Y2^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y3^-1, (R * Y1)^2, Y1^2 * Y2^2 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-2, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1 * Y2^-3, (Y1^-1 * Y2)^5, Y2^-1 * Y1 * Y3^15, Y1 * Y2^-1 * Y1 * Y3 * Y1^2 * Y3^2 * Y1^2 * Y3^2 * Y1^2 * Y3^2 * Y1^2 * Y3^2, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 11, 36, 15, 40, 20, 45, 25, 50, 23, 48, 16, 41, 18, 43, 10, 35, 3, 28, 7, 32, 12, 37, 4, 29, 8, 33, 14, 39, 19, 44, 21, 46, 22, 47, 24, 49, 17, 42, 9, 34, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 66, 91, 72, 97, 70, 95, 64, 89, 56, 81, 62, 87, 55, 80, 60, 85, 67, 92, 73, 98, 71, 96, 65, 90, 58, 83, 52, 77, 57, 82, 63, 88, 68, 93, 74, 99, 75, 100, 69, 94, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 64)(7, 52)(8, 65)(9, 53)(10, 55)(11, 69)(12, 56)(13, 57)(14, 70)(15, 71)(16, 59)(17, 60)(18, 63)(19, 75)(20, 72)(21, 73)(22, 66)(23, 67)(24, 68)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.206
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, Y2 * Y3, (Y3^-1, Y1^-1), (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2, Y1^5 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y1^-1 * Y3^-1)^5, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 14, 39, 20, 45, 23, 48, 17, 42, 9, 34, 12, 37, 4, 29, 8, 33, 15, 40, 21, 46, 24, 49, 18, 43, 10, 35, 3, 28, 7, 32, 11, 36, 16, 41, 22, 47, 25, 50, 19, 44, 13, 38, 5, 30)(51, 76, 53, 78, 59, 84, 63, 88, 68, 93, 73, 98, 75, 100, 71, 96, 64, 89, 66, 91, 58, 83, 52, 77, 57, 82, 62, 87, 55, 80, 60, 85, 67, 92, 69, 94, 74, 99, 70, 95, 72, 97, 65, 90, 56, 81, 61, 86, 54, 79)
	L = (1, 54)(2, 58)(3, 51)(4, 61)(5, 62)(6, 65)(7, 52)(8, 66)(9, 53)(10, 55)(11, 56)(12, 57)(13, 59)(14, 71)(15, 72)(16, 64)(17, 60)(18, 63)(19, 67)(20, 74)(21, 75)(22, 70)(23, 68)(24, 69)(25, 73)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.207
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y1^-1 * Y2 * Y3, Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4 * Y2 * Y1^4, (Y3^-1 * Y1^-1)^5, Y3^11 * Y1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 14, 39, 20, 45, 24, 49, 18, 43, 12, 37, 6, 31, 4, 29, 10, 35, 16, 41, 22, 47, 25, 50, 19, 44, 13, 38, 7, 32, 3, 28, 9, 34, 15, 40, 21, 46, 23, 48, 17, 42, 11, 36, 5, 30)(51, 76, 53, 78, 54, 79, 52, 77, 59, 84, 60, 85, 58, 83, 65, 90, 66, 91, 64, 89, 71, 96, 72, 97, 70, 95, 73, 98, 75, 100, 74, 99, 67, 92, 69, 94, 68, 93, 61, 86, 63, 88, 62, 87, 55, 80, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 59)(5, 56)(6, 53)(7, 51)(8, 66)(9, 58)(10, 65)(11, 62)(12, 57)(13, 55)(14, 72)(15, 64)(16, 71)(17, 68)(18, 63)(19, 61)(20, 75)(21, 70)(22, 73)(23, 74)(24, 69)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.187
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, (Y1, Y3^-1), (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3^-2 * Y2 * Y3, Y1^-1 * Y3^2 * Y1^-2, Y3 * Y1 * Y2 * Y3^2, Y3 * Y1 * Y3^2 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 20, 45, 25, 50, 14, 39, 3, 28, 9, 34, 22, 47, 19, 44, 7, 32, 12, 37, 16, 41, 4, 29, 10, 35, 23, 48, 18, 43, 6, 31, 11, 36, 24, 49, 13, 38, 21, 46, 17, 42, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 69, 94, 68, 93, 55, 80, 64, 89, 66, 91, 74, 99, 58, 83, 72, 97, 73, 98, 67, 92, 75, 100, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 71, 96, 70, 95, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 73)(9, 71)(10, 70)(11, 59)(12, 52)(13, 69)(14, 74)(15, 68)(16, 58)(17, 62)(18, 64)(19, 55)(20, 56)(21, 57)(22, 67)(23, 75)(24, 72)(25, 61)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.186
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^2, Y1 * Y2 * Y1^2, (Y1^-1, Y3), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y3^-4 * Y1, Y2^-1 * Y1^2 * Y3 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 6, 31, 11, 36, 17, 42, 7, 32, 12, 37, 20, 45, 18, 43, 23, 48, 25, 50, 19, 44, 15, 40, 22, 47, 24, 49, 13, 38, 21, 46, 16, 41, 4, 29, 10, 35, 14, 39, 3, 28, 9, 34, 5, 30)(51, 76, 53, 78, 54, 79, 63, 88, 65, 90, 73, 98, 62, 87, 61, 86, 52, 77, 59, 84, 60, 85, 71, 96, 72, 97, 75, 100, 70, 95, 67, 92, 58, 83, 55, 80, 64, 89, 66, 91, 74, 99, 69, 94, 68, 93, 57, 82, 56, 81)
	L = (1, 54)(2, 60)(3, 63)(4, 65)(5, 66)(6, 53)(7, 51)(8, 64)(9, 71)(10, 72)(11, 59)(12, 52)(13, 73)(14, 74)(15, 62)(16, 69)(17, 55)(18, 56)(19, 57)(20, 58)(21, 75)(22, 70)(23, 61)(24, 68)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.189
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2, Y2^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y3^6 * Y1, Y3^3 * Y2 * Y3^2 * Y1 * Y2, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 3, 28, 8, 33, 4, 29, 9, 34, 11, 36, 16, 41, 12, 37, 17, 42, 19, 44, 24, 49, 20, 45, 23, 48, 25, 50, 22, 47, 21, 46, 15, 40, 18, 43, 14, 39, 13, 38, 7, 32, 10, 35, 6, 31, 5, 30)(51, 76, 53, 78, 54, 79, 61, 86, 62, 87, 69, 94, 70, 95, 75, 100, 71, 96, 68, 93, 63, 88, 60, 85, 55, 80, 52, 77, 58, 83, 59, 84, 66, 91, 67, 92, 74, 99, 73, 98, 72, 97, 65, 90, 64, 89, 57, 82, 56, 81)
	L = (1, 54)(2, 59)(3, 61)(4, 62)(5, 58)(6, 53)(7, 51)(8, 66)(9, 67)(10, 52)(11, 69)(12, 70)(13, 55)(14, 56)(15, 57)(16, 74)(17, 73)(18, 60)(19, 75)(20, 71)(21, 63)(22, 64)(23, 65)(24, 72)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.188
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1, (Y1^-1, Y3^-1), (Y2, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y3^2, Y1^-1 * Y3 * Y1^-2 * Y3, Y3^3 * Y1 * Y2^-1, Y1^2 * Y2^-1 * Y1^2 * Y3, Y1^18 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 14, 39, 25, 50, 19, 44, 6, 31, 11, 36, 24, 49, 20, 45, 7, 32, 12, 37, 16, 41, 4, 29, 10, 35, 23, 48, 13, 38, 3, 28, 9, 34, 22, 47, 17, 42, 21, 46, 18, 43, 5, 30)(51, 76, 53, 78, 57, 82, 64, 89, 71, 96, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 75, 100, 68, 93, 73, 98, 74, 99, 58, 83, 72, 97, 66, 91, 69, 94, 55, 80, 63, 88, 70, 95, 65, 90, 67, 92, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 65)(5, 66)(6, 67)(7, 51)(8, 73)(9, 61)(10, 64)(11, 71)(12, 52)(13, 69)(14, 53)(15, 63)(16, 58)(17, 70)(18, 62)(19, 72)(20, 55)(21, 57)(22, 74)(23, 75)(24, 68)(25, 59)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.205
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y2 * Y1^-3, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-4 * Y1, Y3 * Y1^2 * Y2 * Y1, Y1 * Y2 * Y3^-2 * Y2 * Y3^-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 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 3, 28, 9, 34, 18, 43, 7, 32, 12, 37, 20, 45, 13, 38, 21, 46, 25, 50, 19, 44, 14, 39, 22, 47, 24, 49, 16, 41, 23, 48, 15, 40, 4, 29, 10, 35, 17, 42, 6, 31, 11, 36, 5, 30)(51, 76, 53, 78, 57, 82, 63, 88, 69, 94, 74, 99, 65, 90, 67, 92, 55, 80, 58, 83, 68, 93, 70, 95, 75, 100, 72, 97, 73, 98, 60, 85, 61, 86, 52, 77, 59, 84, 62, 87, 71, 96, 64, 89, 66, 91, 54, 79, 56, 81)
	L = (1, 54)(2, 60)(3, 56)(4, 64)(5, 65)(6, 66)(7, 51)(8, 67)(9, 61)(10, 72)(11, 73)(12, 52)(13, 53)(14, 62)(15, 69)(16, 71)(17, 74)(18, 55)(19, 57)(20, 58)(21, 59)(22, 70)(23, 75)(24, 63)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.209
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^2, Y3 * Y2^2, (Y3, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^6 * Y1, Y2 * Y3^-3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 4, 29, 8, 33, 13, 38, 17, 42, 12, 37, 16, 41, 21, 46, 24, 49, 20, 45, 23, 48, 25, 50, 19, 44, 22, 47, 15, 40, 18, 43, 11, 36, 14, 39, 7, 32, 10, 35, 3, 28, 5, 30)(51, 76, 53, 78, 57, 82, 61, 86, 65, 90, 69, 94, 73, 98, 74, 99, 66, 91, 67, 92, 58, 83, 59, 84, 52, 77, 55, 80, 60, 85, 64, 89, 68, 93, 72, 97, 75, 100, 70, 95, 71, 96, 62, 87, 63, 88, 54, 79, 56, 81)
	L = (1, 54)(2, 58)(3, 56)(4, 62)(5, 59)(6, 63)(7, 51)(8, 66)(9, 67)(10, 52)(11, 53)(12, 70)(13, 71)(14, 55)(15, 57)(16, 73)(17, 74)(18, 60)(19, 61)(20, 72)(21, 75)(22, 64)(23, 65)(24, 69)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.196
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y3^2 * Y2 * Y1^-1, Y2 * Y3^2 * Y1^-1, (R * Y1)^2, Y3 * Y2 * Y3 * Y1^-1, (R * Y2)^2, Y2^-3 * Y3, (Y2^-1, Y3^-1), (R * Y3)^2, Y1^2 * Y2 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 16, 41, 4, 29, 10, 35, 18, 43, 6, 31, 11, 36, 20, 45, 23, 48, 13, 38, 21, 46, 25, 50, 15, 40, 22, 47, 24, 49, 14, 39, 3, 28, 9, 34, 19, 44, 7, 32, 12, 37, 17, 42, 5, 30)(51, 76, 53, 78, 63, 88, 54, 79, 62, 87, 72, 97, 61, 86, 52, 77, 59, 84, 71, 96, 60, 85, 67, 92, 74, 99, 70, 95, 58, 83, 69, 94, 75, 100, 68, 93, 55, 80, 64, 89, 73, 98, 66, 91, 57, 82, 65, 90, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 61)(5, 66)(6, 63)(7, 51)(8, 68)(9, 67)(10, 70)(11, 71)(12, 52)(13, 72)(14, 57)(15, 53)(16, 56)(17, 58)(18, 73)(19, 55)(20, 75)(21, 74)(22, 59)(23, 65)(24, 69)(25, 64)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.208
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-2, (Y1^-1, Y2^-1), (Y3, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^2 * Y3^-2, Y3^2 * Y1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 3, 28, 9, 34, 22, 47, 13, 38, 21, 46, 17, 42, 4, 29, 10, 35, 23, 48, 14, 39, 20, 45, 25, 50, 19, 44, 7, 32, 12, 37, 16, 41, 15, 40, 24, 49, 18, 43, 6, 31, 11, 36, 5, 30)(51, 76, 53, 78, 63, 88, 54, 79, 64, 89, 69, 94, 66, 91, 68, 93, 55, 80, 58, 83, 72, 97, 67, 92, 73, 98, 75, 100, 62, 87, 74, 99, 61, 86, 52, 77, 59, 84, 71, 96, 60, 85, 70, 95, 57, 82, 65, 90, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 66)(5, 67)(6, 63)(7, 51)(8, 73)(9, 70)(10, 65)(11, 71)(12, 52)(13, 69)(14, 68)(15, 53)(16, 58)(17, 62)(18, 72)(19, 55)(20, 56)(21, 57)(22, 75)(23, 74)(24, 59)(25, 61)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.198
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, Y2^-1 * Y3 * Y2^-2, (Y3, Y1^-1), (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3^-2 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 14, 39, 17, 42, 7, 32, 10, 35, 18, 43, 21, 46, 25, 50, 23, 48, 19, 44, 15, 40, 20, 45, 22, 47, 24, 49, 12, 37, 16, 41, 4, 29, 8, 33, 11, 36, 13, 38, 3, 28, 5, 30)(51, 76, 53, 78, 61, 86, 54, 79, 62, 87, 72, 97, 65, 90, 73, 98, 71, 96, 60, 85, 67, 92, 59, 84, 52, 77, 55, 80, 63, 88, 58, 83, 66, 91, 74, 99, 70, 95, 69, 94, 75, 100, 68, 93, 57, 82, 64, 89, 56, 81)
	L = (1, 54)(2, 58)(3, 62)(4, 65)(5, 66)(6, 61)(7, 51)(8, 70)(9, 63)(10, 52)(11, 72)(12, 73)(13, 74)(14, 53)(15, 60)(16, 69)(17, 55)(18, 56)(19, 57)(20, 68)(21, 59)(22, 71)(23, 67)(24, 75)(25, 64)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.204
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.224 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), (Y2^-1, Y3), Y2^-3 * Y3^-1, Y1^3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, Y1^-1 * Y2^-1 * Y3^-3, Y3 * Y1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 6, 31, 11, 36, 23, 48, 14, 39, 21, 46, 18, 43, 4, 29, 10, 35, 22, 47, 19, 44, 16, 41, 25, 50, 20, 45, 7, 32, 12, 37, 17, 42, 13, 38, 24, 49, 15, 40, 3, 28, 9, 34, 5, 30)(51, 76, 53, 78, 63, 88, 57, 82, 66, 91, 60, 85, 71, 96, 61, 86, 52, 77, 59, 84, 74, 99, 62, 87, 75, 100, 72, 97, 68, 93, 73, 98, 58, 83, 55, 80, 65, 90, 67, 92, 70, 95, 69, 94, 54, 79, 64, 89, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 72)(9, 71)(10, 63)(11, 66)(12, 52)(13, 56)(14, 70)(15, 73)(16, 53)(17, 58)(18, 62)(19, 65)(20, 55)(21, 57)(22, 74)(23, 75)(24, 61)(25, 59)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.183
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.225 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y1^-1, (Y3, Y1^-1), Y3 * Y2^3, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, (R * Y2)^2, Y3^-3 * Y1 * Y3^-1, 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^-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, 26, 2, 27, 3, 28, 8, 33, 11, 36, 18, 43, 7, 32, 10, 35, 13, 38, 20, 45, 22, 47, 24, 49, 19, 44, 14, 39, 21, 46, 23, 48, 25, 50, 16, 41, 15, 40, 4, 29, 9, 34, 12, 37, 17, 42, 6, 31, 5, 30)(51, 76, 53, 78, 61, 86, 57, 82, 63, 88, 72, 97, 69, 94, 71, 96, 75, 100, 65, 90, 59, 84, 67, 92, 55, 80, 52, 77, 58, 83, 68, 93, 60, 85, 70, 95, 74, 99, 64, 89, 73, 98, 66, 91, 54, 79, 62, 87, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 64)(5, 65)(6, 66)(7, 51)(8, 67)(9, 71)(10, 52)(11, 56)(12, 73)(13, 53)(14, 60)(15, 69)(16, 74)(17, 75)(18, 55)(19, 57)(20, 58)(21, 63)(22, 61)(23, 70)(24, 68)(25, 72)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.201
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), (Y3^-1, Y1), Y2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y1)^2, Y2^2 * Y3 * Y1^-1, (R * Y3)^2, (Y1, Y2^-1), (R * Y2)^2, Y1 * Y2^2 * Y3^-2, Y1^2 * Y2 * Y1^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * 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 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 19, 44, 6, 31, 11, 36, 23, 48, 21, 46, 16, 41, 4, 29, 10, 35, 22, 47, 14, 39, 17, 42, 25, 50, 20, 45, 7, 32, 12, 37, 15, 40, 24, 49, 13, 38, 3, 28, 9, 34, 18, 43, 5, 30)(51, 76, 53, 78, 62, 87, 67, 92, 54, 79, 61, 86, 52, 77, 59, 84, 65, 90, 75, 100, 60, 85, 73, 98, 58, 83, 68, 93, 74, 99, 70, 95, 72, 97, 71, 96, 69, 94, 55, 80, 63, 88, 57, 82, 64, 89, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 61)(4, 65)(5, 66)(6, 67)(7, 51)(8, 72)(9, 73)(10, 74)(11, 75)(12, 52)(13, 56)(14, 53)(15, 58)(16, 62)(17, 59)(18, 71)(19, 64)(20, 55)(21, 57)(22, 63)(23, 70)(24, 69)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.193
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^2, Y2^4 * Y3^-1, Y2 * Y1^-2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 21, 46, 25, 50, 14, 39, 7, 32, 12, 37, 19, 44, 24, 49, 15, 40, 3, 28, 9, 34, 17, 42, 6, 31, 11, 36, 23, 48, 16, 41, 18, 43, 4, 29, 10, 35, 22, 47, 13, 38, 20, 45, 5, 30)(51, 76, 53, 78, 63, 88, 69, 94, 54, 79, 64, 89, 73, 98, 58, 83, 67, 92, 55, 80, 65, 90, 72, 97, 62, 87, 68, 93, 75, 100, 61, 86, 52, 77, 59, 84, 70, 95, 74, 99, 60, 85, 57, 82, 66, 91, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 72)(9, 57)(10, 56)(11, 74)(12, 52)(13, 73)(14, 55)(15, 75)(16, 53)(17, 62)(18, 59)(19, 58)(20, 66)(21, 63)(22, 61)(23, 65)(24, 71)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.191
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y2 * Y1^-1 * Y2 * Y3, Y2^-2 * Y1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y3), Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^2 * Y2^-1 * Y3^2, Y2 * Y1^2 * Y2 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y2^-2 * Y1^-1 * Y3^2, Y1 * Y3^-1 * Y2^23 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 24, 49, 13, 38, 3, 28, 9, 34, 17, 42, 25, 50, 20, 45, 7, 32, 12, 37, 16, 41, 4, 29, 10, 35, 22, 47, 14, 39, 19, 44, 6, 31, 11, 36, 23, 48, 21, 46, 18, 43, 5, 30)(51, 76, 53, 78, 62, 87, 69, 94, 55, 80, 63, 88, 57, 82, 64, 89, 68, 93, 74, 99, 70, 95, 72, 97, 71, 96, 65, 90, 75, 100, 60, 85, 73, 98, 58, 83, 67, 92, 54, 79, 61, 86, 52, 77, 59, 84, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 61)(4, 65)(5, 66)(6, 67)(7, 51)(8, 72)(9, 73)(10, 74)(11, 75)(12, 52)(13, 56)(14, 53)(15, 64)(16, 58)(17, 71)(18, 62)(19, 59)(20, 55)(21, 57)(22, 63)(23, 70)(24, 69)(25, 68)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.190
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1^-1), Y3^-2 * Y2^-1 * Y1^-1, Y1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y3, Y1), Y3 * Y2 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, Y2^-3 * Y1^-2, Y3^-1 * Y1^4, Y2 * Y1^-2 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 4, 29, 10, 35, 22, 47, 13, 38, 17, 42, 6, 31, 11, 36, 23, 48, 16, 41, 19, 44, 24, 49, 15, 40, 3, 28, 9, 34, 21, 46, 25, 50, 14, 39, 7, 32, 12, 37, 20, 45, 5, 30)(51, 76, 53, 78, 63, 88, 70, 95, 74, 99, 60, 85, 57, 82, 66, 91, 68, 93, 75, 100, 61, 86, 52, 77, 59, 84, 67, 92, 55, 80, 65, 90, 72, 97, 62, 87, 69, 94, 54, 79, 64, 89, 73, 98, 58, 83, 71, 96, 56, 81)
	L = (1, 54)(2, 60)(3, 64)(4, 67)(5, 68)(6, 69)(7, 51)(8, 72)(9, 57)(10, 56)(11, 74)(12, 52)(13, 73)(14, 55)(15, 75)(16, 53)(17, 66)(18, 63)(19, 59)(20, 58)(21, 62)(22, 61)(23, 65)(24, 71)(25, 70)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.195
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y1^3 * Y2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2 * Y3^-3, Y1 * Y3^6, Y2^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 6, 31, 4, 29, 10, 35, 16, 41, 14, 39, 13, 38, 18, 43, 24, 49, 23, 48, 22, 47, 25, 50, 21, 46, 20, 45, 19, 44, 17, 42, 12, 37, 11, 36, 15, 40, 7, 32, 3, 28, 9, 34, 5, 30)(51, 76, 53, 78, 61, 86, 69, 94, 75, 100, 74, 99, 64, 89, 54, 79, 52, 77, 59, 84, 65, 90, 67, 92, 71, 96, 73, 98, 63, 88, 60, 85, 58, 83, 55, 80, 57, 82, 62, 87, 70, 95, 72, 97, 68, 93, 66, 91, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 63)(5, 56)(6, 64)(7, 51)(8, 66)(9, 58)(10, 68)(11, 59)(12, 53)(13, 72)(14, 73)(15, 55)(16, 74)(17, 57)(18, 75)(19, 65)(20, 61)(21, 62)(22, 69)(23, 70)(24, 71)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.197
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1, Y2 * Y1 * Y3^-2, (Y3^-1, Y1^-1), Y3^-2 * Y1 * Y2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^5 * Y3, (Y1^-1 * Y3^-1)^5 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 3, 28, 8, 33, 11, 36, 18, 43, 20, 45, 25, 50, 23, 48, 17, 42, 15, 40, 7, 32, 10, 35, 13, 38, 4, 29, 9, 34, 12, 37, 19, 44, 21, 46, 24, 49, 22, 47, 16, 41, 14, 39, 6, 31, 5, 30)(51, 76, 53, 78, 61, 86, 70, 95, 73, 98, 65, 90, 60, 85, 54, 79, 62, 87, 71, 96, 72, 97, 64, 89, 55, 80, 52, 77, 58, 83, 68, 93, 75, 100, 67, 92, 57, 82, 63, 88, 59, 84, 69, 94, 74, 99, 66, 91, 56, 81)
	L = (1, 54)(2, 59)(3, 62)(4, 58)(5, 63)(6, 60)(7, 51)(8, 69)(9, 61)(10, 52)(11, 71)(12, 68)(13, 53)(14, 57)(15, 55)(16, 65)(17, 56)(18, 74)(19, 70)(20, 72)(21, 75)(22, 67)(23, 64)(24, 73)(25, 66)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.182
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, (Y1, Y2), Y2^-3 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1, Y1 * Y2^-1 * Y1 * Y3^-1, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, Y3 * Y2^-1 * Y3^2 * Y1, Y3^-1 * Y1 * Y3^-3, Y3 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2, Y1 * 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 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 20, 45, 25, 50, 18, 43, 7, 32, 12, 37, 3, 28, 9, 34, 21, 46, 16, 41, 19, 44, 15, 40, 14, 39, 23, 48, 13, 38, 6, 31, 11, 36, 4, 29, 10, 35, 22, 47, 24, 49, 17, 42, 5, 30)(51, 76, 53, 78, 63, 88, 55, 80, 62, 87, 73, 98, 67, 92, 57, 82, 64, 89, 74, 99, 68, 93, 65, 90, 72, 97, 75, 100, 69, 94, 60, 85, 70, 95, 66, 91, 54, 79, 58, 83, 71, 96, 61, 86, 52, 77, 59, 84, 56, 81)
	L = (1, 54)(2, 60)(3, 58)(4, 65)(5, 61)(6, 66)(7, 51)(8, 72)(9, 70)(10, 64)(11, 69)(12, 52)(13, 71)(14, 53)(15, 62)(16, 68)(17, 56)(18, 55)(19, 57)(20, 74)(21, 75)(22, 73)(23, 59)(24, 63)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.199
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y3^2 * Y2 * Y1^-1, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, Y2^3 * Y3^-3 * Y2, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, (Y2^-1 * Y3)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 17, 42, 19, 44, 25, 50, 22, 47, 23, 48, 13, 38, 16, 41, 7, 32, 10, 35, 14, 39, 4, 29, 8, 33, 15, 40, 18, 43, 24, 49, 20, 45, 21, 46, 11, 36, 12, 37, 3, 28, 5, 30)(51, 76, 53, 78, 61, 86, 70, 95, 68, 93, 58, 83, 64, 89, 57, 82, 63, 88, 72, 97, 69, 94, 59, 84, 52, 77, 55, 80, 62, 87, 71, 96, 74, 99, 65, 90, 54, 79, 60, 85, 66, 91, 73, 98, 75, 100, 67, 92, 56, 81)
	L = (1, 54)(2, 58)(3, 60)(4, 59)(5, 64)(6, 65)(7, 51)(8, 67)(9, 68)(10, 52)(11, 66)(12, 57)(13, 53)(14, 56)(15, 69)(16, 55)(17, 74)(18, 75)(19, 70)(20, 73)(21, 63)(22, 61)(23, 62)(24, 72)(25, 71)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.200
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y3^-2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-3, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 4, 29, 10, 35, 21, 46, 24, 49, 14, 39, 13, 38, 23, 48, 18, 43, 6, 31, 3, 28, 9, 34, 20, 45, 16, 41, 12, 37, 22, 47, 25, 50, 19, 44, 7, 32, 11, 36, 17, 42, 5, 30)(51, 76, 53, 78, 52, 77, 59, 84, 58, 83, 70, 95, 65, 90, 66, 91, 54, 79, 62, 87, 60, 85, 72, 97, 71, 96, 75, 100, 74, 99, 69, 94, 64, 89, 57, 82, 63, 88, 61, 86, 73, 98, 67, 92, 68, 93, 55, 80, 56, 81)
	L = (1, 54)(2, 60)(3, 62)(4, 64)(5, 65)(6, 66)(7, 51)(8, 71)(9, 72)(10, 63)(11, 52)(12, 57)(13, 53)(14, 56)(15, 74)(16, 69)(17, 58)(18, 70)(19, 55)(20, 75)(21, 73)(22, 61)(23, 59)(24, 68)(25, 67)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.202
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, (Y3^-1, Y1^-1), Y3^2 * Y2 * Y3, (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2^4 * Y1^-1, Y3^-2 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y1^-1 * 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^-1, Y3 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 6, 31, 9, 34, 19, 44, 22, 47, 24, 49, 12, 37, 16, 41, 4, 29, 8, 33, 17, 42, 21, 46, 25, 50, 14, 39, 18, 43, 7, 32, 10, 35, 15, 40, 20, 45, 23, 48, 11, 36, 13, 38, 3, 28, 5, 30)(51, 76, 53, 78, 61, 86, 70, 95, 60, 85, 68, 93, 75, 100, 67, 92, 54, 79, 62, 87, 72, 97, 59, 84, 52, 77, 55, 80, 63, 88, 73, 98, 65, 90, 57, 82, 64, 89, 71, 96, 58, 83, 66, 91, 74, 99, 69, 94, 56, 81)
	L = (1, 54)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 51)(8, 70)(9, 71)(10, 52)(11, 72)(12, 57)(13, 74)(14, 53)(15, 56)(16, 60)(17, 73)(18, 55)(19, 75)(20, 59)(21, 61)(22, 64)(23, 69)(24, 68)(25, 63)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.203
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y2^-1 * Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4 * Y3 * Y1^2, Y1^2 * Y2 * Y1 * Y2 * Y1 * Y2, Y2^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 18, 43, 24, 49, 16, 41, 7, 32, 3, 28, 9, 34, 19, 44, 25, 50, 17, 42, 13, 38, 12, 37, 11, 36, 21, 46, 23, 48, 15, 40, 6, 31, 4, 29, 10, 35, 20, 45, 22, 47, 14, 39, 5, 30)(51, 76, 53, 78, 61, 86, 70, 95, 68, 93, 75, 100, 65, 90, 55, 80, 57, 82, 62, 87, 60, 85, 58, 83, 69, 94, 73, 98, 64, 89, 66, 91, 63, 88, 54, 79, 52, 77, 59, 84, 71, 96, 72, 97, 74, 99, 67, 92, 56, 81)
	L = (1, 54)(2, 60)(3, 52)(4, 62)(5, 56)(6, 63)(7, 51)(8, 70)(9, 58)(10, 61)(11, 59)(12, 53)(13, 57)(14, 65)(15, 67)(16, 55)(17, 66)(18, 72)(19, 68)(20, 71)(21, 69)(22, 73)(23, 75)(24, 64)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.185
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 25, 25, 25})
Quotient :: dipole
Aut^+ = C25 (small group id <25, 1>)
Aut   = D50 (small group id <50, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (Y3^-1, Y1), Y2^-1 * Y1 * Y2^-2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-3, Y2^-2 * Y1^-2 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^25 ]
Map:: non-degenerate
	R = (1, 26, 2, 27, 8, 33, 15, 40, 4, 29, 10, 35, 21, 46, 18, 43, 6, 31, 11, 36, 22, 47, 25, 50, 16, 41, 14, 39, 23, 48, 24, 49, 13, 38, 3, 28, 9, 34, 20, 45, 19, 44, 7, 32, 12, 37, 17, 42, 5, 30)(51, 76, 53, 78, 61, 86, 52, 77, 59, 84, 72, 97, 58, 83, 70, 95, 75, 100, 65, 90, 69, 94, 66, 91, 54, 79, 57, 82, 64, 89, 60, 85, 62, 87, 73, 98, 71, 96, 67, 92, 74, 99, 68, 93, 55, 80, 63, 88, 56, 81)
	L = (1, 54)(2, 60)(3, 57)(4, 56)(5, 65)(6, 66)(7, 51)(8, 71)(9, 62)(10, 61)(11, 64)(12, 52)(13, 69)(14, 53)(15, 68)(16, 63)(17, 58)(18, 75)(19, 55)(20, 67)(21, 72)(22, 73)(23, 59)(24, 70)(25, 74)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.184
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3^-1 * Y1^3, Y3 * Y2^-3, (Y3^-1, Y1), (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 4, 31, 10, 37, 18, 45, 7, 34, 12, 39, 5, 32)(3, 30, 9, 36, 20, 47, 14, 41, 23, 50, 26, 53, 16, 43, 24, 51, 15, 42)(6, 33, 11, 38, 21, 48, 13, 40, 22, 49, 27, 54, 19, 46, 25, 52, 17, 44)(55, 82, 57, 84, 67, 94, 58, 85, 68, 95, 73, 100, 61, 88, 70, 97, 60, 87)(56, 83, 63, 90, 76, 103, 64, 91, 77, 104, 79, 106, 66, 93, 78, 105, 65, 92)(59, 86, 69, 96, 75, 102, 62, 89, 74, 101, 81, 108, 72, 99, 80, 107, 71, 98)
	L = (1, 58)(2, 64)(3, 68)(4, 61)(5, 62)(6, 67)(7, 55)(8, 72)(9, 77)(10, 66)(11, 76)(12, 56)(13, 73)(14, 70)(15, 74)(16, 57)(17, 75)(18, 59)(19, 60)(20, 80)(21, 81)(22, 79)(23, 78)(24, 63)(25, 65)(26, 69)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1 * Y2^-2, Y3^3, (R * Y2)^2, (Y3, Y1^-1), (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y2 * Y1^4, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 17, 44, 6, 33, 3, 30, 9, 36, 16, 43, 5, 32)(4, 31, 10, 37, 20, 47, 25, 52, 15, 42, 12, 39, 22, 49, 24, 51, 14, 41)(7, 34, 11, 38, 21, 48, 27, 54, 19, 46, 13, 40, 23, 50, 26, 53, 18, 45)(55, 82, 57, 84, 56, 83, 63, 90, 62, 89, 70, 97, 71, 98, 59, 86, 60, 87)(58, 85, 66, 93, 64, 91, 76, 103, 74, 101, 78, 105, 79, 106, 68, 95, 69, 96)(61, 88, 67, 94, 65, 92, 77, 104, 75, 102, 80, 107, 81, 108, 72, 99, 73, 100)
	L = (1, 58)(2, 64)(3, 66)(4, 61)(5, 68)(6, 69)(7, 55)(8, 74)(9, 76)(10, 65)(11, 56)(12, 67)(13, 57)(14, 72)(15, 73)(16, 78)(17, 79)(18, 59)(19, 60)(20, 75)(21, 62)(22, 77)(23, 63)(24, 80)(25, 81)(26, 70)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3 * Y1, Y2 * Y1 * Y3, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, Y1^9, Y2^9, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 16, 43, 22, 49, 26, 53, 19, 46, 14, 41, 5, 32)(3, 30, 7, 34, 10, 37, 15, 42, 18, 45, 24, 51, 25, 52, 21, 48, 12, 39)(4, 31, 6, 33, 9, 36, 17, 44, 23, 50, 27, 54, 20, 47, 11, 38, 13, 40)(55, 82, 57, 84, 65, 92, 73, 100, 79, 106, 77, 104, 70, 97, 69, 96, 60, 87)(56, 83, 61, 88, 67, 94, 68, 95, 75, 102, 81, 108, 76, 103, 72, 99, 63, 90)(58, 85, 59, 86, 66, 93, 74, 101, 80, 107, 78, 105, 71, 98, 62, 89, 64, 91)
	L = (1, 58)(2, 60)(3, 59)(4, 61)(5, 67)(6, 64)(7, 55)(8, 63)(9, 69)(10, 56)(11, 66)(12, 68)(13, 57)(14, 65)(15, 62)(16, 71)(17, 72)(18, 70)(19, 74)(20, 75)(21, 73)(22, 77)(23, 78)(24, 76)(25, 80)(26, 81)(27, 79)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3 * Y2^-2, Y2 * Y1^-1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3^-1), Y1^-2 * Y2^-3 * Y1^-1, Y1 * Y3 * Y1^-2 * Y3 * Y2^2, Y1^2 * Y3^-1 * Y2^-2 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * 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 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 19, 46, 13, 40, 25, 52, 16, 43, 5, 32)(3, 30, 9, 36, 21, 48, 18, 45, 7, 34, 12, 39, 24, 51, 26, 53, 14, 41)(4, 31, 10, 37, 22, 49, 17, 44, 6, 33, 11, 38, 23, 50, 27, 54, 15, 42)(55, 82, 57, 84, 64, 91, 79, 106, 78, 105, 81, 108, 74, 101, 72, 99, 60, 87)(56, 83, 63, 90, 76, 103, 70, 97, 80, 107, 69, 96, 73, 100, 61, 88, 65, 92)(58, 85, 67, 94, 66, 93, 77, 104, 62, 89, 75, 102, 71, 98, 59, 86, 68, 95)
	L = (1, 58)(2, 64)(3, 67)(4, 61)(5, 69)(6, 68)(7, 55)(8, 76)(9, 79)(10, 66)(11, 57)(12, 56)(13, 65)(14, 73)(15, 72)(16, 81)(17, 80)(18, 59)(19, 60)(20, 71)(21, 70)(22, 78)(23, 63)(24, 62)(25, 77)(26, 74)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.242
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 x C3 (small group id <27, 2>)
Aut   = (C9 x C3) : C2 (small group id <54, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^-1 * Y1^2 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^-2 * Y2^-3 * Y1^-1, Y2^-9 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 20, 47, 26, 53, 27, 54, 25, 52, 16, 43, 5, 32)(3, 30, 9, 36, 21, 48, 19, 46, 24, 51, 15, 42, 18, 45, 7, 34, 12, 39)(4, 31, 10, 37, 14, 41, 23, 50, 13, 40, 22, 49, 17, 44, 6, 33, 11, 38)(55, 82, 57, 84, 67, 94, 79, 106, 72, 99, 64, 91, 74, 101, 73, 100, 60, 87)(56, 83, 63, 90, 76, 103, 70, 97, 61, 88, 68, 95, 80, 107, 78, 105, 65, 92)(58, 85, 62, 89, 75, 102, 71, 98, 59, 86, 66, 93, 77, 104, 81, 108, 69, 96)
	L = (1, 58)(2, 64)(3, 62)(4, 61)(5, 65)(6, 69)(7, 55)(8, 68)(9, 74)(10, 66)(11, 72)(12, 56)(13, 75)(14, 57)(15, 70)(16, 60)(17, 78)(18, 59)(19, 81)(20, 77)(21, 80)(22, 73)(23, 63)(24, 79)(25, 71)(26, 67)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.241
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.243 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, Y1^2 * Y2^-1 * Y3, Y3 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y2 * Y1, Y1 * Y3^-1 * Y2^7 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 16, 43, 27, 54, 23, 50, 22, 49, 20, 47, 12, 39, 7, 34)(2, 29, 9, 36, 6, 33, 19, 46, 18, 45, 26, 53, 24, 51, 14, 41, 11, 38)(3, 30, 13, 40, 25, 52, 17, 44, 15, 42, 8, 35, 21, 48, 10, 37, 5, 32)(55, 56, 62, 74, 78, 79, 81, 73, 59)(57, 66, 72, 75, 77, 63, 71, 58, 68)(60, 67, 76, 65, 64, 70, 80, 69, 61)(82, 84, 92, 101, 102, 107, 108, 98, 87)(83, 85, 96, 105, 93, 94, 100, 104, 91)(86, 99, 88, 89, 90, 103, 106, 95, 97)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.246
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.244 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-2, Y3^-2 * Y1^2 * Y2^-1, Y1^-1 * Y2 * Y1^2 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^4 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 18, 45, 27, 54, 13, 40, 22, 49, 26, 53, 9, 36, 7, 34)(2, 29, 10, 37, 14, 41, 20, 47, 16, 43, 6, 33, 24, 51, 17, 44, 12, 39)(3, 30, 15, 42, 5, 32, 21, 48, 11, 38, 25, 52, 19, 46, 23, 50, 8, 35)(55, 56, 62, 80, 78, 79, 81, 74, 59)(57, 67, 64, 73, 58, 71, 75, 63, 70)(60, 77, 61, 68, 65, 76, 66, 69, 72)(82, 84, 95, 107, 100, 93, 108, 102, 87)(83, 90, 96, 105, 94, 104, 101, 85, 92)(86, 91, 99, 89, 98, 88, 106, 97, 103)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.248
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.245 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 9, 9, 9})
Quotient :: edge^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2 * Y3 * Y1, Y2 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-4 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 4, 31, 16, 43, 27, 54, 9, 36, 20, 47, 24, 51, 23, 50, 7, 34)(2, 29, 10, 37, 22, 49, 19, 46, 25, 52, 12, 39, 17, 44, 14, 41, 6, 33)(3, 30, 11, 38, 8, 35, 21, 48, 15, 42, 5, 32, 18, 45, 26, 53, 13, 40)(55, 56, 62, 78, 71, 67, 81, 73, 59)(57, 58, 68, 72, 77, 79, 75, 63, 64)(60, 69, 70, 66, 65, 61, 76, 80, 74)(82, 84, 93, 105, 99, 103, 108, 102, 87)(83, 90, 107, 98, 85, 96, 100, 104, 92)(86, 95, 101, 89, 106, 97, 94, 91, 88)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.247
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.246 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3, Y1^2 * Y2^-1 * Y3, Y3 * Y2 * Y1 * Y3, Y1 * Y3^-1 * Y2^-2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1^-3 * Y2 * Y1, Y1 * Y3^-1 * Y2^7 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 16, 43, 70, 97, 27, 54, 81, 108, 23, 50, 77, 104, 22, 49, 76, 103, 20, 47, 74, 101, 12, 39, 66, 93, 7, 34, 61, 88)(2, 29, 56, 83, 9, 36, 63, 90, 6, 33, 60, 87, 19, 46, 73, 100, 18, 45, 72, 99, 26, 53, 80, 107, 24, 51, 78, 105, 14, 41, 68, 95, 11, 38, 65, 92)(3, 30, 57, 84, 13, 40, 67, 94, 25, 52, 79, 106, 17, 44, 71, 98, 15, 42, 69, 96, 8, 35, 62, 89, 21, 48, 75, 102, 10, 37, 64, 91, 5, 32, 59, 86)
	L = (1, 29)(2, 35)(3, 39)(4, 41)(5, 28)(6, 40)(7, 33)(8, 47)(9, 44)(10, 43)(11, 37)(12, 45)(13, 49)(14, 30)(15, 34)(16, 53)(17, 31)(18, 48)(19, 32)(20, 51)(21, 50)(22, 38)(23, 36)(24, 52)(25, 54)(26, 42)(27, 46)(55, 84)(56, 85)(57, 92)(58, 96)(59, 99)(60, 82)(61, 89)(62, 90)(63, 103)(64, 83)(65, 101)(66, 94)(67, 100)(68, 97)(69, 105)(70, 86)(71, 87)(72, 88)(73, 104)(74, 102)(75, 107)(76, 106)(77, 91)(78, 93)(79, 95)(80, 108)(81, 98)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.243
Transitivity :: VT+
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.247 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-1 * Y1^-2, Y2^-1 * Y1^-1 * Y3^-2, Y3^-2 * Y1^2 * Y2^-1, Y1^-1 * Y2 * Y1^2 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^4 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 18, 45, 72, 99, 27, 54, 81, 108, 13, 40, 67, 94, 22, 49, 76, 103, 26, 53, 80, 107, 9, 36, 63, 90, 7, 34, 61, 88)(2, 29, 56, 83, 10, 37, 64, 91, 14, 41, 68, 95, 20, 47, 74, 101, 16, 43, 70, 97, 6, 33, 60, 87, 24, 51, 78, 105, 17, 44, 71, 98, 12, 39, 66, 93)(3, 30, 57, 84, 15, 42, 69, 96, 5, 32, 59, 86, 21, 48, 75, 102, 11, 38, 65, 92, 25, 52, 79, 106, 19, 46, 73, 100, 23, 50, 77, 104, 8, 35, 62, 89)
	L = (1, 29)(2, 35)(3, 40)(4, 44)(5, 28)(6, 50)(7, 41)(8, 53)(9, 43)(10, 46)(11, 49)(12, 42)(13, 37)(14, 38)(15, 45)(16, 30)(17, 48)(18, 33)(19, 31)(20, 32)(21, 36)(22, 39)(23, 34)(24, 52)(25, 54)(26, 51)(27, 47)(55, 84)(56, 90)(57, 95)(58, 92)(59, 91)(60, 82)(61, 106)(62, 98)(63, 96)(64, 99)(65, 83)(66, 108)(67, 104)(68, 107)(69, 105)(70, 103)(71, 88)(72, 89)(73, 93)(74, 85)(75, 87)(76, 86)(77, 101)(78, 94)(79, 97)(80, 100)(81, 102)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.245
Transitivity :: VT+
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.248 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 9, 9, 9})
Quotient :: loop^2
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2 * Y3 * Y1, Y2 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-4 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 55, 82, 4, 31, 58, 85, 16, 43, 70, 97, 27, 54, 81, 108, 9, 36, 63, 90, 20, 47, 74, 101, 24, 51, 78, 105, 23, 50, 77, 104, 7, 34, 61, 88)(2, 29, 56, 83, 10, 37, 64, 91, 22, 49, 76, 103, 19, 46, 73, 100, 25, 52, 79, 106, 12, 39, 66, 93, 17, 44, 71, 98, 14, 41, 68, 95, 6, 33, 60, 87)(3, 30, 57, 84, 11, 38, 65, 92, 8, 35, 62, 89, 21, 48, 75, 102, 15, 42, 69, 96, 5, 32, 59, 86, 18, 45, 72, 99, 26, 53, 80, 107, 13, 40, 67, 94)
	L = (1, 29)(2, 35)(3, 31)(4, 41)(5, 28)(6, 42)(7, 49)(8, 51)(9, 37)(10, 30)(11, 34)(12, 38)(13, 54)(14, 45)(15, 43)(16, 39)(17, 40)(18, 50)(19, 32)(20, 33)(21, 36)(22, 53)(23, 52)(24, 44)(25, 48)(26, 47)(27, 46)(55, 84)(56, 90)(57, 93)(58, 96)(59, 95)(60, 82)(61, 86)(62, 106)(63, 107)(64, 88)(65, 83)(66, 105)(67, 91)(68, 101)(69, 100)(70, 94)(71, 85)(72, 103)(73, 104)(74, 89)(75, 87)(76, 108)(77, 92)(78, 99)(79, 97)(80, 98)(81, 102)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.244
Transitivity :: VT+
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.249 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = (C9 : C3) : C2 (small group id <54, 6>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2 * Y3^-1, Y2 * R^-1 * Y1 * R, Y1 * Y2 * Y1^2 * Y2^-1, Y2 * Y1^-1 * Y2^2 * Y1, Y1^9, Y2^9, (Y3^-1 * Y1^-1)^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 28, 2, 29, 6, 33, 18, 45, 22, 49, 24, 51, 26, 53, 13, 40, 4, 31)(3, 30, 9, 36, 12, 39, 25, 52, 21, 48, 19, 46, 17, 44, 7, 34, 11, 38)(5, 32, 15, 42, 23, 50, 10, 37, 8, 35, 14, 41, 27, 54, 20, 47, 16, 43)(55, 82, 57, 84, 64, 91, 72, 99, 79, 106, 81, 108, 80, 107, 71, 98, 59, 86)(56, 83, 61, 88, 74, 101, 76, 103, 63, 90, 69, 96, 67, 94, 75, 102, 62, 89)(58, 85, 66, 93, 70, 97, 60, 87, 73, 100, 77, 104, 78, 105, 65, 92, 68, 95)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.250 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {9, 9, 9, 9})
Quotient :: dipole
Aut^+ = C9 : C3 (small group id <27, 4>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 6
Presentation :: [ Y3^3, Y1 * Y2^-2, R^2 * Y3^-1, Y3^-1 * Y2 * Y3 * Y1, Y2 * Y3 * Y1 * Y3^-1, R * Y2^-1 * R^-1 * Y1^-1, Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^2, Y3^-1 * Y1^2 * Y3 * Y2^-1, Y2 * Y1^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 19, 46, 6, 33, 3, 30, 9, 36, 18, 45, 5, 32)(4, 31, 14, 41, 17, 44, 26, 53, 16, 43, 15, 42, 24, 51, 10, 37, 12, 39)(7, 34, 22, 49, 13, 40, 27, 54, 11, 38, 20, 47, 25, 52, 21, 48, 23, 50)(55, 82, 57, 84, 56, 83, 63, 90, 62, 89, 72, 99, 73, 100, 59, 86, 60, 87)(58, 85, 69, 96, 68, 95, 78, 105, 71, 98, 64, 91, 80, 107, 66, 93, 70, 97)(61, 88, 74, 101, 76, 103, 79, 106, 67, 94, 75, 102, 81, 108, 77, 104, 65, 92)
	L = (1, 58)(2, 64)(3, 66)(4, 61)(5, 71)(6, 68)(7, 55)(8, 69)(9, 78)(10, 65)(11, 56)(12, 67)(13, 57)(14, 75)(15, 77)(16, 76)(17, 74)(18, 70)(19, 80)(20, 59)(21, 60)(22, 72)(23, 62)(24, 79)(25, 63)(26, 81)(27, 73)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^3, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y1^-1), Y2^4 * Y3^-3 * Y1^-1 * Y3^-2, Y3^-27, Y2^27, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 6, 33, 9, 36)(4, 31, 7, 34, 11, 38)(8, 35, 12, 39, 15, 42)(10, 37, 13, 40, 17, 44)(14, 41, 18, 45, 21, 48)(16, 43, 19, 46, 23, 50)(20, 47, 24, 51, 26, 53)(22, 49, 25, 52, 27, 54)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 81, 108, 77, 104, 71, 98, 65, 92, 59, 86, 63, 90, 69, 96, 75, 102, 80, 107, 76, 103, 70, 97, 64, 91, 58, 85)
	L = (1, 58)(2, 61)(3, 55)(4, 64)(5, 65)(6, 56)(7, 67)(8, 57)(9, 59)(10, 70)(11, 71)(12, 60)(13, 73)(14, 62)(15, 63)(16, 76)(17, 77)(18, 66)(19, 79)(20, 68)(21, 69)(22, 80)(23, 81)(24, 72)(25, 74)(26, 75)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.266
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y1^3, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y2^-1, Y1^-1), Y3^3 * Y1^-1 * Y3 * Y2^-5, Y1^-1 * Y2^18, Y3^-27, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 6, 33, 9, 36)(4, 31, 7, 34, 11, 38)(8, 35, 12, 39, 15, 42)(10, 37, 13, 40, 17, 44)(14, 41, 18, 45, 21, 48)(16, 43, 19, 46, 23, 50)(20, 47, 24, 51, 27, 54)(22, 49, 25, 52, 26, 53)(55, 82, 57, 84, 62, 89, 68, 95, 74, 101, 80, 107, 77, 104, 71, 98, 65, 92, 59, 86, 63, 90, 69, 96, 75, 102, 81, 108, 79, 106, 73, 100, 67, 94, 61, 88, 56, 83, 60, 87, 66, 93, 72, 99, 78, 105, 76, 103, 70, 97, 64, 91, 58, 85)
	L = (1, 58)(2, 61)(3, 55)(4, 64)(5, 65)(6, 56)(7, 67)(8, 57)(9, 59)(10, 70)(11, 71)(12, 60)(13, 73)(14, 62)(15, 63)(16, 76)(17, 77)(18, 66)(19, 79)(20, 68)(21, 69)(22, 78)(23, 80)(24, 72)(25, 81)(26, 74)(27, 75)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.265
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^3, (Y2^-1, Y1^-1), (Y1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2 * Y3 * Y1^-1 * Y3, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3, Y3^-27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 13, 40)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 16, 43)(7, 34, 11, 38, 17, 44)(12, 39, 20, 47, 24, 51)(14, 41, 21, 48, 25, 52)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 58, 85, 66, 93, 68, 95, 77, 104, 76, 103, 65, 92, 64, 91, 56, 83, 62, 89, 63, 90, 74, 101, 75, 102, 81, 108, 80, 107, 71, 98, 70, 97, 59, 86, 67, 94, 69, 96, 78, 105, 79, 106, 73, 100, 72, 99, 61, 88, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 57)(7, 55)(8, 74)(9, 75)(10, 62)(11, 56)(12, 77)(13, 78)(14, 76)(15, 79)(16, 67)(17, 59)(18, 60)(19, 61)(20, 81)(21, 80)(22, 64)(23, 65)(24, 73)(25, 72)(26, 70)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.262
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^3, (Y1^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y3), Y2^-1 * Y3^-3 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y3^2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 13, 40)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 16, 43)(7, 34, 11, 38, 17, 44)(12, 39, 20, 47, 25, 52)(14, 41, 21, 48, 27, 54)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 24, 51)(55, 82, 57, 84, 58, 85, 66, 93, 68, 95, 78, 105, 80, 107, 71, 98, 70, 97, 59, 86, 67, 94, 69, 96, 79, 106, 81, 108, 77, 104, 76, 103, 65, 92, 64, 91, 56, 83, 62, 89, 63, 90, 74, 101, 75, 102, 73, 100, 72, 99, 61, 88, 60, 87)
	L = (1, 58)(2, 63)(3, 66)(4, 68)(5, 69)(6, 57)(7, 55)(8, 74)(9, 75)(10, 62)(11, 56)(12, 78)(13, 79)(14, 80)(15, 81)(16, 67)(17, 59)(18, 60)(19, 61)(20, 73)(21, 72)(22, 64)(23, 65)(24, 71)(25, 77)(26, 70)(27, 76)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.261
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1), (Y3, Y2^-1), Y1^-1 * Y3^2 * Y2^-1, Y2^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y1, (R * Y2)^2, (R * Y1)^2, Y3 * Y2^4, Y1^-1 * Y2^-1 * Y3^-5 * Y2^-1, (Y3^-1 * Y1^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 16, 43)(7, 34, 11, 38, 17, 44)(12, 39, 20, 47, 24, 51)(13, 40, 21, 48, 25, 52)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 66, 93, 73, 100, 61, 88, 69, 96, 79, 106, 80, 107, 70, 97, 59, 86, 68, 95, 78, 105, 81, 108, 71, 98, 63, 90, 75, 102, 76, 103, 64, 91, 56, 83, 62, 89, 74, 101, 77, 104, 65, 92, 58, 85, 67, 94, 72, 99, 60, 87)
	L = (1, 58)(2, 63)(3, 67)(4, 62)(5, 69)(6, 65)(7, 55)(8, 75)(9, 68)(10, 71)(11, 56)(12, 72)(13, 74)(14, 79)(15, 57)(16, 61)(17, 59)(18, 77)(19, 60)(20, 76)(21, 78)(22, 81)(23, 64)(24, 80)(25, 66)(26, 73)(27, 70)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.260
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2^-1, Y1), Y2^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3, (Y3, Y2), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^2 * Y3 * Y2 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^-2 * Y3^-3, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y3^-27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 15, 42)(6, 33, 10, 37, 16, 43)(7, 34, 11, 38, 17, 44)(12, 39, 20, 47, 24, 51)(13, 40, 21, 48, 25, 52)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 66, 93, 77, 104, 65, 92, 58, 85, 67, 94, 76, 103, 64, 91, 56, 83, 62, 89, 74, 101, 81, 108, 71, 98, 63, 90, 75, 102, 80, 107, 70, 97, 59, 86, 68, 95, 78, 105, 73, 100, 61, 88, 69, 96, 79, 106, 72, 99, 60, 87)
	L = (1, 58)(2, 63)(3, 67)(4, 62)(5, 69)(6, 65)(7, 55)(8, 75)(9, 68)(10, 71)(11, 56)(12, 76)(13, 74)(14, 79)(15, 57)(16, 61)(17, 59)(18, 77)(19, 60)(20, 80)(21, 78)(22, 81)(23, 64)(24, 72)(25, 66)(26, 73)(27, 70)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.259
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), (Y2, Y3^-1), Y2 * Y1 * Y3^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^3, Y1^-1 * Y3 * Y2^25, Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 14, 41)(4, 31, 9, 36, 12, 39)(6, 33, 10, 37, 15, 42)(7, 34, 11, 38, 17, 44)(13, 40, 20, 47, 24, 51)(16, 43, 21, 48, 25, 52)(18, 45, 22, 49, 26, 53)(19, 46, 23, 50, 27, 54)(55, 82, 57, 84, 66, 93, 78, 105, 75, 102, 77, 104, 72, 99, 61, 88, 69, 96, 59, 86, 68, 95, 63, 90, 74, 101, 70, 97, 73, 100, 80, 107, 71, 98, 64, 91, 56, 83, 62, 89, 58, 85, 67, 94, 79, 106, 81, 108, 76, 103, 65, 92, 60, 87)
	L = (1, 58)(2, 63)(3, 67)(4, 70)(5, 66)(6, 62)(7, 55)(8, 74)(9, 75)(10, 68)(11, 56)(12, 79)(13, 73)(14, 78)(15, 57)(16, 72)(17, 59)(18, 60)(19, 61)(20, 77)(21, 76)(22, 64)(23, 65)(24, 81)(25, 80)(26, 69)(27, 71)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.263
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y1^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^7 * Y2^-2, Y2^5 * Y3^-4, 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 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 5, 32)(3, 30, 8, 35, 7, 34)(4, 31, 9, 36, 6, 33)(10, 37, 15, 42, 11, 38)(12, 39, 14, 41, 13, 40)(16, 43, 18, 45, 17, 44)(19, 46, 21, 48, 20, 47)(22, 49, 24, 51, 23, 50)(25, 52, 27, 54, 26, 53)(55, 82, 57, 84, 64, 91, 70, 97, 76, 103, 79, 106, 75, 102, 67, 94, 58, 85, 56, 83, 62, 89, 69, 96, 72, 99, 78, 105, 81, 108, 74, 101, 66, 93, 63, 90, 59, 86, 61, 88, 65, 92, 71, 98, 77, 104, 80, 107, 73, 100, 68, 95, 60, 87)
	L = (1, 58)(2, 63)(3, 56)(4, 66)(5, 60)(6, 67)(7, 55)(8, 59)(9, 68)(10, 62)(11, 57)(12, 73)(13, 74)(14, 75)(15, 61)(16, 69)(17, 64)(18, 65)(19, 79)(20, 80)(21, 81)(22, 72)(23, 70)(24, 71)(25, 78)(26, 76)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.264
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3 * Y2, (Y2^-1, Y1^-1), (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^2 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1)^3, Y2^2 * Y3^-1 * Y2 * Y1 * Y3^-4, Y2^2 * Y3^-1 * Y1^24, Y2^27, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 27, 54, 20, 47, 11, 38, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 25, 52, 21, 48, 12, 39, 4, 31, 8, 35, 16, 43, 9, 36, 17, 44, 24, 51, 26, 53, 19, 46, 13, 40, 5, 32)(55, 82, 57, 84, 63, 90, 68, 95, 77, 104, 80, 107, 74, 101, 66, 93, 59, 86, 64, 91, 70, 97, 60, 87, 69, 96, 78, 105, 81, 108, 75, 102, 67, 94, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 76, 103, 79, 106, 73, 100, 65, 92, 58, 85)
	L = (1, 58)(2, 62)(3, 55)(4, 65)(5, 66)(6, 70)(7, 56)(8, 72)(9, 57)(10, 59)(11, 73)(12, 74)(13, 75)(14, 63)(15, 60)(16, 64)(17, 61)(18, 67)(19, 79)(20, 80)(21, 81)(22, 71)(23, 68)(24, 69)(25, 76)(26, 77)(27, 78)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.256
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-2 * Y3^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y1^-1 * Y3^-1)^3, Y2 * Y1^-1 * Y2^2 * Y1^-2, Y1^4 * Y2 * Y3^-3 * Y1, Y1^2 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1 * Y3^3 * Y2^-1, Y2^27, (Y3 * Y2^-1)^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 14, 41, 22, 49, 25, 52, 21, 48, 12, 39, 4, 31, 8, 35, 16, 43, 9, 36, 17, 44, 24, 51, 27, 54, 20, 47, 11, 38, 18, 45, 10, 37, 3, 30, 7, 34, 15, 42, 23, 50, 26, 53, 19, 46, 13, 40, 5, 32)(55, 82, 57, 84, 63, 90, 68, 95, 77, 104, 81, 108, 75, 102, 67, 94, 72, 99, 62, 89, 56, 83, 61, 88, 71, 98, 76, 103, 80, 107, 74, 101, 66, 93, 59, 86, 64, 91, 70, 97, 60, 87, 69, 96, 78, 105, 79, 106, 73, 100, 65, 92, 58, 85)
	L = (1, 58)(2, 62)(3, 55)(4, 65)(5, 66)(6, 70)(7, 56)(8, 72)(9, 57)(10, 59)(11, 73)(12, 74)(13, 75)(14, 63)(15, 60)(16, 64)(17, 61)(18, 67)(19, 79)(20, 80)(21, 81)(22, 71)(23, 68)(24, 69)(25, 78)(26, 76)(27, 77)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.255
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3 * Y2^-2, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y1, Y3^-1), Y1^-1 * Y2 * Y1^-3, Y1^-1 * Y2 * Y3^3, Y3 * Y1^-1 * Y3^2 * Y2, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 14, 41, 3, 30, 9, 36, 22, 49, 16, 43, 4, 31, 10, 37, 23, 50, 21, 48, 13, 40, 25, 52, 27, 54, 20, 47, 15, 42, 26, 53, 19, 46, 7, 34, 12, 39, 24, 51, 18, 45, 6, 33, 11, 38, 17, 44, 5, 32)(55, 82, 57, 84, 58, 85, 67, 94, 69, 96, 66, 93, 65, 92, 56, 83, 63, 90, 64, 91, 79, 106, 80, 107, 78, 105, 71, 98, 62, 89, 76, 103, 77, 104, 81, 108, 73, 100, 72, 99, 59, 86, 68, 95, 70, 97, 75, 102, 74, 101, 61, 88, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 57)(7, 55)(8, 77)(9, 79)(10, 80)(11, 63)(12, 56)(13, 66)(14, 75)(15, 65)(16, 74)(17, 76)(18, 68)(19, 59)(20, 60)(21, 61)(22, 81)(23, 73)(24, 62)(25, 78)(26, 71)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.254
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, (R * Y1)^2, (Y1, Y2^-1), (R * Y2)^2, (Y1, Y3^-1), (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y1^3 * Y2 * Y1^2, (Y1^-1 * Y3^-1)^3, Y3^6 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 22, 49, 18, 45, 6, 33, 11, 38, 15, 42, 26, 53, 19, 46, 7, 34, 12, 39, 13, 40, 25, 52, 27, 54, 20, 47, 16, 43, 4, 31, 10, 37, 24, 51, 21, 48, 14, 41, 3, 30, 9, 36, 23, 50, 17, 44, 5, 32)(55, 82, 57, 84, 58, 85, 67, 94, 69, 96, 62, 89, 77, 104, 78, 105, 81, 108, 73, 100, 72, 99, 59, 86, 68, 95, 70, 97, 66, 93, 65, 92, 56, 83, 63, 90, 64, 91, 79, 106, 80, 107, 76, 103, 71, 98, 75, 102, 74, 101, 61, 88, 60, 87)
	L = (1, 58)(2, 64)(3, 67)(4, 69)(5, 70)(6, 57)(7, 55)(8, 78)(9, 79)(10, 80)(11, 63)(12, 56)(13, 62)(14, 66)(15, 77)(16, 65)(17, 74)(18, 68)(19, 59)(20, 60)(21, 61)(22, 75)(23, 81)(24, 73)(25, 76)(26, 71)(27, 72)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.253
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-2, (Y3, Y1^-1), (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y3 * Y2^4, Y2^-1 * Y3^3 * Y1, 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^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 9, 36, 19, 46, 22, 49, 12, 39, 16, 43, 4, 31, 8, 35, 17, 44, 21, 48, 24, 51, 27, 54, 26, 53, 25, 52, 15, 42, 14, 41, 18, 45, 7, 34, 10, 37, 20, 47, 23, 50, 11, 38, 13, 40, 3, 30, 5, 32)(55, 82, 57, 84, 65, 92, 74, 101, 61, 88, 68, 95, 79, 106, 81, 108, 75, 102, 62, 89, 70, 97, 76, 103, 63, 90, 56, 83, 59, 86, 67, 94, 77, 104, 64, 91, 72, 99, 69, 96, 80, 107, 78, 105, 71, 98, 58, 85, 66, 93, 73, 100, 60, 87)
	L = (1, 58)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 68)(9, 75)(10, 56)(11, 73)(12, 80)(13, 76)(14, 57)(15, 67)(16, 79)(17, 72)(18, 59)(19, 78)(20, 60)(21, 61)(22, 81)(23, 63)(24, 64)(25, 65)(26, 77)(27, 74)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.257
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-1, (R * Y2)^2, (Y3, Y2^-1), (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, Y3 * Y2^-1 * Y3^2 * Y1, Y3 * Y2 * Y3 * Y2^2 * Y1^-1, Y2^-2 * Y3 * Y2^-3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 6, 33, 9, 36, 19, 46, 22, 49, 26, 53, 15, 42, 14, 41, 18, 45, 7, 34, 10, 37, 20, 47, 23, 50, 27, 54, 12, 39, 16, 43, 4, 31, 8, 35, 17, 44, 21, 48, 24, 51, 25, 52, 11, 38, 13, 40, 3, 30, 5, 32)(55, 82, 57, 84, 65, 92, 78, 105, 71, 98, 58, 85, 66, 93, 77, 104, 64, 91, 72, 99, 69, 96, 76, 103, 63, 90, 56, 83, 59, 86, 67, 94, 79, 106, 75, 102, 62, 89, 70, 97, 81, 108, 74, 101, 61, 88, 68, 95, 80, 107, 73, 100, 60, 87)
	L = (1, 58)(2, 62)(3, 66)(4, 69)(5, 70)(6, 71)(7, 55)(8, 68)(9, 75)(10, 56)(11, 77)(12, 76)(13, 81)(14, 57)(15, 67)(16, 80)(17, 72)(18, 59)(19, 78)(20, 60)(21, 61)(22, 79)(23, 63)(24, 64)(25, 74)(26, 65)(27, 73)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.258
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), (Y2^-1, Y3), (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1^2 * Y2^2, Y2^-1 * Y1 * Y3^-1 * Y1^2, Y2^-1 * Y1^3 * Y3^-1, Y2 * Y3^4, Y2^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 14, 41, 21, 48, 6, 33, 11, 38, 18, 45, 4, 31, 10, 37, 23, 50, 25, 52, 27, 54, 19, 46, 16, 43, 26, 53, 17, 44, 13, 40, 22, 49, 7, 34, 12, 39, 15, 42, 3, 30, 9, 36, 24, 51, 20, 47, 5, 32)(55, 82, 57, 84, 67, 94, 81, 108, 72, 99, 62, 89, 78, 105, 61, 88, 70, 97, 64, 91, 75, 102, 59, 86, 69, 96, 71, 98, 79, 106, 65, 92, 56, 83, 63, 90, 76, 103, 73, 100, 58, 85, 68, 95, 74, 101, 66, 93, 80, 107, 77, 104, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 73)(7, 55)(8, 77)(9, 75)(10, 67)(11, 70)(12, 56)(13, 74)(14, 79)(15, 62)(16, 57)(17, 78)(18, 80)(19, 69)(20, 65)(21, 81)(22, 59)(23, 76)(24, 60)(25, 61)(26, 63)(27, 66)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.252
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 27, 27, 27})
Quotient :: dipole
Aut^+ = C27 (small group id <27, 1>)
Aut   = D54 (small group id <54, 1>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y3^-1, Y1), (Y3^-1, Y2^-1), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y1^-4 * Y2, Y3^2 * Y1 * Y2^-2, Y1^-1 * Y3^3 * Y2, Y2 * Y1 * Y3 * Y2 * Y1, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y1^2 * Y2^2, Y2^27 ]
Map:: non-degenerate
	R = (1, 28, 2, 29, 8, 35, 15, 42, 3, 30, 9, 36, 24, 51, 17, 44, 13, 40, 22, 49, 7, 34, 12, 39, 26, 53, 19, 46, 16, 43, 27, 54, 18, 45, 4, 31, 10, 37, 23, 50, 25, 52, 14, 41, 21, 48, 6, 33, 11, 38, 20, 47, 5, 32)(55, 82, 57, 84, 67, 94, 80, 107, 72, 99, 79, 106, 65, 92, 56, 83, 63, 90, 76, 103, 73, 100, 58, 85, 68, 95, 74, 101, 62, 89, 78, 105, 61, 88, 70, 97, 64, 91, 75, 102, 59, 86, 69, 96, 71, 98, 66, 93, 81, 108, 77, 104, 60, 87)
	L = (1, 58)(2, 64)(3, 68)(4, 71)(5, 72)(6, 73)(7, 55)(8, 77)(9, 75)(10, 67)(11, 70)(12, 56)(13, 74)(14, 66)(15, 79)(16, 57)(17, 65)(18, 78)(19, 69)(20, 81)(21, 80)(22, 59)(23, 76)(24, 60)(25, 61)(26, 62)(27, 63)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.251
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3, Y1^-1), (Y2, Y1), Y3^-2 * Y2^-3, Y2^-1 * Y3^4, Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y2^2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 19, 47, 15, 43)(4, 32, 10, 38, 13, 41, 18, 46)(6, 34, 11, 39, 16, 44, 20, 48)(7, 35, 12, 40, 22, 50, 21, 49)(14, 42, 25, 53, 24, 52, 28, 56)(17, 45, 26, 54, 23, 51, 27, 55)(57, 85, 59, 87, 69, 97, 80, 108, 73, 101, 78, 106, 62, 90)(58, 86, 65, 93, 74, 102, 84, 112, 82, 110, 77, 105, 67, 95)(60, 88, 70, 98, 79, 107, 63, 91, 72, 100, 64, 92, 75, 103)(61, 89, 71, 99, 66, 94, 81, 109, 83, 111, 68, 96, 76, 104)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 69)(9, 81)(10, 82)(11, 71)(12, 58)(13, 79)(14, 78)(15, 84)(16, 59)(17, 72)(18, 83)(19, 80)(20, 65)(21, 61)(22, 64)(23, 62)(24, 63)(25, 77)(26, 76)(27, 67)(28, 68)(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, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.285
Graph:: bipartite
	v = 11 e = 56 f = 3
	degree seq :: [ 8^7, 14^4 ]

E22.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y3), Y1^4, (Y3, Y1^-1), Y3^-2 * Y2^-1 * Y3^-2, Y1^-1 * Y3 * Y2^2 * Y1^-1, Y2 * Y3^-2 * Y2^2, Y3 * Y1 * Y2^2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 23, 51, 15, 43)(4, 32, 10, 38, 22, 50, 18, 46)(6, 34, 11, 39, 14, 42, 20, 48)(7, 35, 12, 40, 13, 41, 21, 49)(16, 44, 25, 53, 17, 45, 26, 54)(19, 47, 27, 55, 24, 52, 28, 56)(57, 85, 59, 87, 69, 97, 73, 101, 80, 108, 78, 106, 62, 90)(58, 86, 65, 93, 77, 105, 82, 110, 84, 112, 74, 102, 67, 95)(60, 88, 70, 98, 64, 92, 79, 107, 63, 91, 72, 100, 75, 103)(61, 89, 71, 99, 68, 96, 81, 109, 83, 111, 66, 94, 76, 104)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 78)(9, 76)(10, 82)(11, 83)(12, 58)(13, 64)(14, 80)(15, 67)(16, 59)(17, 79)(18, 81)(19, 69)(20, 84)(21, 61)(22, 72)(23, 62)(24, 63)(25, 65)(26, 71)(27, 77)(28, 68)(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, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.282
Graph:: bipartite
	v = 11 e = 56 f = 3
	degree seq :: [ 8^7, 14^4 ]

E22.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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 * Y3^2, (Y3, Y1^-1), Y1^4, Y3 * Y2 * Y1^2, Y3^-1 * Y2^-2 * Y3^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-3, Y2^4 * Y3^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 7, 35, 12, 40)(4, 32, 10, 38, 6, 34, 11, 39)(13, 41, 17, 45, 14, 42, 18, 46)(15, 43, 19, 47, 16, 44, 20, 48)(21, 49, 25, 53, 22, 50, 26, 54)(23, 51, 27, 55, 24, 52, 28, 56)(57, 85, 59, 87, 69, 97, 77, 105, 80, 108, 71, 99, 62, 90)(58, 86, 65, 93, 73, 101, 81, 109, 84, 112, 75, 103, 67, 95)(60, 88, 64, 92, 63, 91, 70, 98, 78, 106, 79, 107, 72, 100)(61, 89, 68, 96, 74, 102, 82, 110, 83, 111, 76, 104, 66, 94)
	L = (1, 60)(2, 66)(3, 64)(4, 71)(5, 67)(6, 72)(7, 57)(8, 62)(9, 61)(10, 75)(11, 76)(12, 58)(13, 63)(14, 59)(15, 79)(16, 80)(17, 68)(18, 65)(19, 83)(20, 84)(21, 70)(22, 69)(23, 77)(24, 78)(25, 74)(26, 73)(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) :: { ( 28, 56, 28, 56, 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.283
Graph:: bipartite
	v = 11 e = 56 f = 3
	degree seq :: [ 8^7, 14^4 ]

E22.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1, Y1), Y1^4, (R * Y3)^2, Y2^3 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3 * Y1^2 * Y3 * Y1 * Y2, (Y3 * Y2^-1)^14, Y1^-1 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 21, 49, 14, 42)(4, 32, 10, 38, 22, 50, 16, 44)(6, 34, 11, 39, 23, 51, 18, 46)(7, 35, 12, 40, 24, 52, 19, 47)(13, 41, 25, 53, 17, 45, 27, 55)(15, 43, 26, 54, 20, 48, 28, 56)(57, 85, 59, 87, 69, 97, 78, 106, 80, 108, 76, 104, 62, 90)(58, 86, 65, 93, 81, 109, 72, 100, 75, 103, 84, 112, 67, 95)(60, 88, 63, 91, 71, 99, 79, 107, 64, 92, 77, 105, 73, 101)(61, 89, 70, 98, 83, 111, 66, 94, 68, 96, 82, 110, 74, 102)
	L = (1, 60)(2, 66)(3, 63)(4, 62)(5, 72)(6, 73)(7, 57)(8, 78)(9, 68)(10, 67)(11, 83)(12, 58)(13, 71)(14, 75)(15, 59)(16, 74)(17, 76)(18, 81)(19, 61)(20, 77)(21, 80)(22, 79)(23, 69)(24, 64)(25, 82)(26, 65)(27, 84)(28, 70)(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, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.286
Graph:: bipartite
	v = 11 e = 56 f = 3
	degree seq :: [ 8^7, 14^4 ]

E22.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, (R * Y2)^2, (Y2^-1, Y1), (Y1, Y3), Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^-1 * Y2^-3, Y1 * Y2 * Y3 * Y2^2 * Y1, Y1^-1 * Y3 * Y2^3 * 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 * 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^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 21, 49, 15, 43)(4, 32, 10, 38, 22, 50, 16, 44)(6, 34, 11, 39, 23, 51, 17, 45)(7, 35, 12, 40, 24, 52, 18, 46)(13, 41, 25, 53, 20, 48, 28, 56)(14, 42, 26, 54, 19, 47, 27, 55)(57, 85, 59, 87, 69, 97, 80, 108, 78, 106, 75, 103, 62, 90)(58, 86, 65, 93, 81, 109, 74, 102, 72, 100, 83, 111, 67, 95)(60, 88, 70, 98, 79, 107, 64, 92, 77, 105, 76, 104, 63, 91)(61, 89, 71, 99, 84, 112, 68, 96, 66, 94, 82, 110, 73, 101)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 72)(6, 63)(7, 57)(8, 78)(9, 82)(10, 65)(11, 68)(12, 58)(13, 79)(14, 69)(15, 83)(16, 71)(17, 74)(18, 61)(19, 76)(20, 62)(21, 75)(22, 77)(23, 80)(24, 64)(25, 73)(26, 81)(27, 84)(28, 67)(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, 28, 56, 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.284
Graph:: bipartite
	v = 11 e = 56 f = 3
	degree seq :: [ 8^7, 14^4 ]

E22.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, Y3 * Y2^-1 * Y3, (Y2^-1, Y1^-1), (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-3, Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 20, 48, 17, 45, 5, 33)(3, 31, 9, 37, 22, 50, 18, 46, 6, 34, 11, 39, 15, 43)(4, 32, 10, 38, 23, 51, 27, 55, 21, 49, 26, 54, 16, 44)(7, 35, 12, 40, 24, 52, 14, 42, 25, 53, 28, 56, 19, 47)(57, 85, 59, 87, 69, 97, 74, 102, 61, 89, 71, 99, 64, 92, 78, 106, 73, 101, 67, 95, 58, 86, 65, 93, 76, 104, 62, 90)(60, 88, 70, 98, 83, 111, 75, 103, 72, 100, 80, 108, 79, 107, 84, 112, 82, 110, 68, 96, 66, 94, 81, 109, 77, 105, 63, 91)
	L = (1, 60)(2, 66)(3, 70)(4, 59)(5, 72)(6, 63)(7, 57)(8, 79)(9, 81)(10, 65)(11, 68)(12, 58)(13, 83)(14, 69)(15, 80)(16, 71)(17, 82)(18, 75)(19, 61)(20, 77)(21, 62)(22, 84)(23, 78)(24, 64)(25, 76)(26, 67)(27, 74)(28, 73)(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, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.277
Graph:: bipartite
	v = 6 e = 56 f = 8
	degree seq :: [ 14^4, 28^2 ]

E22.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y2)^2, Y2^2 * Y1^3, Y1 * Y2^-4, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 13, 41, 18, 46, 5, 33)(3, 31, 9, 37, 19, 47, 6, 34, 11, 39, 23, 51, 14, 42)(4, 32, 10, 38, 22, 50, 27, 55, 15, 43, 25, 53, 16, 44)(7, 35, 12, 40, 24, 52, 17, 45, 26, 54, 28, 56, 20, 48)(57, 85, 59, 87, 69, 97, 67, 95, 58, 86, 65, 93, 74, 102, 79, 107, 64, 92, 75, 103, 61, 89, 70, 98, 77, 105, 62, 90)(60, 88, 63, 91, 71, 99, 82, 110, 66, 94, 68, 96, 81, 109, 84, 112, 78, 106, 80, 108, 72, 100, 76, 104, 83, 111, 73, 101)
	L = (1, 60)(2, 66)(3, 63)(4, 62)(5, 72)(6, 73)(7, 57)(8, 78)(9, 68)(10, 67)(11, 82)(12, 58)(13, 71)(14, 76)(15, 59)(16, 75)(17, 77)(18, 81)(19, 80)(20, 61)(21, 83)(22, 79)(23, 84)(24, 64)(25, 65)(26, 69)(27, 70)(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, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.278
Graph:: bipartite
	v = 6 e = 56 f = 8
	degree seq :: [ 14^4, 28^2 ]

E22.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3^-2 * Y1 * Y2, Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y2, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^7, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 22, 50, 14, 42, 5, 33)(3, 31, 9, 37, 19, 47, 26, 54, 23, 51, 15, 43, 6, 34)(4, 32, 10, 38, 20, 48, 27, 55, 25, 53, 17, 45, 13, 41)(7, 35, 11, 39, 12, 40, 21, 49, 28, 56, 24, 52, 16, 44)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 75, 103, 74, 102, 82, 110, 78, 106, 79, 107, 70, 98, 71, 99, 61, 89, 62, 90)(60, 88, 68, 96, 66, 94, 77, 105, 76, 104, 84, 112, 83, 111, 80, 108, 81, 109, 72, 100, 73, 101, 63, 91, 69, 97, 67, 95)
	L = (1, 60)(2, 66)(3, 68)(4, 65)(5, 69)(6, 67)(7, 57)(8, 76)(9, 77)(10, 75)(11, 58)(12, 64)(13, 59)(14, 73)(15, 63)(16, 61)(17, 62)(18, 83)(19, 84)(20, 82)(21, 74)(22, 81)(23, 72)(24, 70)(25, 71)(26, 80)(27, 79)(28, 78)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ), ( 8, 56, 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 E22.280
Graph:: bipartite
	v = 6 e = 56 f = 8
	degree seq :: [ 14^4, 28^2 ]

E22.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2, Y3^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1, Y1^-1), (R * Y1)^2, Y3^-2 * Y2 * Y1^2, Y1^7, Y1 * Y3^8, Y2^-1 * Y1 * Y3^2 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 * Y2^-1 * Y1^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 24, 52, 16, 44, 5, 33)(3, 31, 6, 34, 10, 38, 20, 48, 27, 55, 22, 50, 12, 40)(4, 32, 9, 37, 19, 47, 26, 54, 23, 51, 13, 41, 14, 42)(7, 35, 11, 39, 15, 43, 21, 49, 28, 56, 25, 53, 17, 45)(57, 85, 59, 87, 61, 89, 68, 96, 72, 100, 78, 106, 80, 108, 83, 111, 74, 102, 76, 104, 64, 92, 66, 94, 58, 86, 62, 90)(60, 88, 67, 95, 70, 98, 63, 91, 69, 97, 73, 101, 79, 107, 81, 109, 82, 110, 84, 112, 75, 103, 77, 105, 65, 93, 71, 99)
	L = (1, 60)(2, 65)(3, 67)(4, 66)(5, 70)(6, 71)(7, 57)(8, 75)(9, 76)(10, 77)(11, 58)(12, 63)(13, 59)(14, 62)(15, 64)(16, 69)(17, 61)(18, 82)(19, 83)(20, 84)(21, 74)(22, 73)(23, 68)(24, 79)(25, 72)(26, 78)(27, 81)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.281
Graph:: bipartite
	v = 6 e = 56 f = 8
	degree seq :: [ 14^4, 28^2 ]

E22.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-1 * Y1^-1, (Y1 * Y2^-1)^2, Y3 * Y2 * Y3 * Y1, Y1^-1 * Y2^-1 * Y3^-2, (Y3^-1, Y2^-1), Y2^2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-6 * Y1^-1, Y2^2 * Y1^5, Y2^2 * Y1 * Y3^-4, Y2^3 * Y3^-1 * Y1^2 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 27, 55, 18, 46, 5, 33)(3, 31, 9, 37, 20, 48, 26, 54, 15, 43, 6, 34, 11, 39)(4, 32, 10, 38, 21, 49, 14, 42, 23, 51, 28, 56, 16, 44)(7, 35, 12, 40, 22, 50, 25, 53, 17, 45, 24, 52, 13, 41)(57, 85, 59, 87, 64, 92, 76, 104, 83, 111, 71, 99, 61, 89, 67, 95, 58, 86, 65, 93, 75, 103, 82, 110, 74, 102, 62, 90)(60, 88, 69, 97, 77, 105, 68, 96, 79, 107, 81, 109, 72, 100, 80, 108, 66, 94, 63, 91, 70, 98, 78, 106, 84, 112, 73, 101)
	L = (1, 60)(2, 66)(3, 69)(4, 71)(5, 72)(6, 73)(7, 57)(8, 77)(9, 63)(10, 62)(11, 80)(12, 58)(13, 61)(14, 59)(15, 81)(16, 82)(17, 83)(18, 84)(19, 70)(20, 68)(21, 67)(22, 64)(23, 65)(24, 74)(25, 75)(26, 78)(27, 79)(28, 76)(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, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.279
Graph:: bipartite
	v = 6 e = 56 f = 8
	degree seq :: [ 14^4, 28^2 ]

E22.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3^-1 * Y1, Y1^-1 * Y3, Y2^-1 * Y3^-1 * Y2 * Y1, (Y1, Y2^-1), (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^7 * Y2, (Y3^-1 * Y1^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 13, 41, 21, 49, 20, 48, 12, 40, 5, 33, 8, 36, 15, 43, 23, 51, 27, 55, 25, 53, 17, 45, 9, 37, 16, 44, 24, 52, 28, 56, 26, 54, 18, 46, 10, 38, 3, 31, 7, 35, 14, 42, 22, 50, 19, 47, 11, 39, 4, 32)(57, 85, 59, 87, 65, 93, 61, 89)(58, 86, 63, 91, 72, 100, 64, 92)(60, 88, 66, 94, 73, 101, 68, 96)(62, 90, 70, 98, 80, 108, 71, 99)(67, 95, 74, 102, 81, 109, 76, 104)(69, 97, 78, 106, 84, 112, 79, 107)(75, 103, 82, 110, 83, 111, 77, 105)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 69)(7, 70)(8, 71)(9, 72)(10, 59)(11, 60)(12, 61)(13, 77)(14, 78)(15, 79)(16, 80)(17, 65)(18, 66)(19, 67)(20, 68)(21, 76)(22, 75)(23, 83)(24, 84)(25, 73)(26, 74)(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) :: { ( 14, 28, 14, 28, 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.272
Graph:: bipartite
	v = 8 e = 56 f = 6
	degree seq :: [ 8^7, 56 ]

E22.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), Y1^-2 * Y3 * Y2, (Y2, Y1^-1), (R * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y2^-1 * Y1^2 * Y3^-1, Y1^-1 * Y3^-3, Y2^4, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y1^26 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 27, 55, 25, 53, 18, 46, 6, 34, 11, 39, 4, 32, 10, 38, 21, 49, 14, 42, 23, 51, 13, 41, 22, 50, 16, 44, 24, 52, 15, 43, 7, 35, 12, 40, 3, 31, 9, 37, 20, 48, 28, 56, 26, 54, 17, 45, 5, 33)(57, 85, 59, 87, 69, 97, 62, 90)(58, 86, 65, 93, 78, 106, 67, 95)(60, 88, 64, 92, 76, 104, 72, 100)(61, 89, 68, 96, 79, 107, 74, 102)(63, 91, 70, 98, 81, 109, 73, 101)(66, 94, 75, 103, 84, 112, 80, 108)(71, 99, 77, 105, 83, 111, 82, 110)
	L = (1, 60)(2, 66)(3, 64)(4, 71)(5, 67)(6, 72)(7, 57)(8, 77)(9, 75)(10, 63)(11, 80)(12, 58)(13, 76)(14, 59)(15, 61)(16, 82)(17, 62)(18, 78)(19, 70)(20, 83)(21, 68)(22, 84)(23, 65)(24, 73)(25, 69)(26, 74)(27, 79)(28, 81)(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, 28, 14, 28, 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.273
Graph:: bipartite
	v = 8 e = 56 f = 6
	degree seq :: [ 8^7, 56 ]

E22.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y3), (Y2^-1, Y1^-1), Y2^-1 * Y3^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-2, (Y3, Y1), Y2^4, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1 * Y3^-2 * Y1 * Y3^-1 * Y2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 16, 44, 27, 55, 17, 45, 6, 34, 11, 39, 24, 52, 14, 42, 7, 35, 12, 40, 25, 53, 13, 41, 26, 54, 18, 46, 4, 32, 10, 38, 23, 51, 15, 43, 3, 31, 9, 37, 22, 50, 19, 47, 28, 56, 20, 48, 5, 33)(57, 85, 59, 87, 69, 97, 62, 90)(58, 86, 65, 93, 82, 110, 67, 95)(60, 88, 70, 98, 77, 105, 75, 103)(61, 89, 71, 99, 81, 109, 73, 101)(63, 91, 72, 100, 84, 112, 66, 94)(64, 92, 78, 106, 74, 102, 80, 108)(68, 96, 83, 111, 76, 104, 79, 107)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 79)(9, 63)(10, 62)(11, 84)(12, 58)(13, 77)(14, 61)(15, 80)(16, 59)(17, 78)(18, 83)(19, 81)(20, 82)(21, 71)(22, 68)(23, 67)(24, 76)(25, 64)(26, 72)(27, 65)(28, 69)(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, 28, 14, 28, 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.276
Graph:: bipartite
	v = 8 e = 56 f = 6
	degree seq :: [ 8^7, 56 ]

E22.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), (R * Y3)^2, (Y3, Y2^-1), Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2)^2, Y3^-2 * Y2 * Y1, (R * Y1)^2, (Y3, Y1^-1), Y2^4, Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 7, 35, 12, 40, 21, 49, 17, 45, 6, 34, 11, 39, 20, 48, 18, 46, 24, 52, 28, 56, 25, 53, 13, 41, 22, 50, 27, 55, 26, 54, 14, 42, 23, 51, 15, 43, 3, 31, 9, 37, 19, 47, 16, 44, 4, 32, 10, 38, 5, 33)(57, 85, 59, 87, 69, 97, 62, 90)(58, 86, 65, 93, 78, 106, 67, 95)(60, 88, 70, 98, 80, 108, 68, 96)(61, 89, 71, 99, 81, 109, 73, 101)(63, 91, 72, 100, 82, 110, 74, 102)(64, 92, 75, 103, 83, 111, 76, 104)(66, 94, 79, 107, 84, 112, 77, 105)
	L = (1, 60)(2, 66)(3, 70)(4, 65)(5, 72)(6, 68)(7, 57)(8, 61)(9, 79)(10, 75)(11, 77)(12, 58)(13, 80)(14, 78)(15, 82)(16, 59)(17, 63)(18, 62)(19, 71)(20, 73)(21, 64)(22, 84)(23, 83)(24, 67)(25, 74)(26, 69)(27, 81)(28, 76)(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, 28, 14, 28, 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.274
Graph:: bipartite
	v = 8 e = 56 f = 6
	degree seq :: [ 8^7, 56 ]

E22.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y1, Y2^-1), Y3 * Y2 * Y1^2, (R * Y2)^2, Y2^4, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^-2, (Y3^-1, Y2^-1), (R * Y3)^2, Y3^-4 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2, Y2 * Y3^2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1^21 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 21, 49, 18, 46, 4, 32, 10, 38, 6, 34, 11, 39, 22, 50, 17, 45, 26, 54, 19, 47, 27, 55, 13, 41, 24, 52, 16, 44, 25, 53, 20, 48, 28, 56, 15, 43, 3, 31, 9, 37, 7, 35, 12, 40, 23, 51, 14, 42, 5, 33)(57, 85, 59, 87, 69, 97, 62, 90)(58, 86, 65, 93, 80, 108, 67, 95)(60, 88, 70, 98, 84, 112, 75, 103)(61, 89, 71, 99, 83, 111, 66, 94)(63, 91, 72, 100, 78, 106, 64, 92)(68, 96, 81, 109, 73, 101, 77, 105)(74, 102, 79, 107, 76, 104, 82, 110)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 62)(9, 61)(10, 82)(11, 83)(12, 58)(13, 84)(14, 77)(15, 79)(16, 59)(17, 80)(18, 78)(19, 81)(20, 63)(21, 67)(22, 69)(23, 64)(24, 71)(25, 65)(26, 72)(27, 76)(28, 68)(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, 28, 14, 28, 14, 28, 14, 28 ), ( 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28, 14, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.275
Graph:: bipartite
	v = 8 e = 56 f = 6
	degree seq :: [ 8^7, 56 ]

E22.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1 * Y3 * Y1^2, Y3 * Y1^3, (R * Y3)^2, (Y3, Y2), (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-4, (Y3^2 * Y1^-1)^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 7, 35, 11, 39, 20, 48, 19, 47, 23, 51, 14, 42, 22, 50, 15, 43, 4, 32, 10, 38, 5, 33)(3, 31, 9, 37, 18, 46, 13, 41, 21, 49, 28, 56, 25, 53, 26, 54, 24, 52, 27, 55, 16, 44, 12, 40, 17, 45, 6, 34)(57, 85, 59, 87, 58, 86, 65, 93, 64, 92, 74, 102, 63, 91, 69, 97, 67, 95, 77, 105, 76, 104, 84, 112, 75, 103, 81, 109, 79, 107, 82, 110, 70, 98, 80, 108, 78, 106, 83, 111, 71, 99, 72, 100, 60, 88, 68, 96, 66, 94, 73, 101, 61, 89, 62, 90)
	L = (1, 60)(2, 66)(3, 68)(4, 70)(5, 71)(6, 72)(7, 57)(8, 61)(9, 73)(10, 78)(11, 58)(12, 80)(13, 59)(14, 76)(15, 79)(16, 82)(17, 83)(18, 62)(19, 63)(20, 64)(21, 65)(22, 75)(23, 67)(24, 84)(25, 69)(26, 77)(27, 81)(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, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.268
Graph:: bipartite
	v = 3 e = 56 f = 11
	degree seq :: [ 28^2, 56 ]

E22.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3 * Y1^-3, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-4, (Y2^-1 * Y3)^4, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 4, 32, 9, 37, 20, 48, 15, 43, 21, 49, 19, 47, 23, 51, 17, 45, 7, 35, 11, 39, 5, 33)(3, 31, 6, 34, 10, 38, 12, 40, 16, 44, 22, 50, 24, 52, 27, 55, 26, 54, 28, 56, 25, 53, 14, 42, 18, 46, 13, 41)(57, 85, 59, 87, 61, 89, 69, 97, 67, 95, 74, 102, 63, 91, 70, 98, 73, 101, 81, 109, 79, 107, 84, 112, 75, 103, 82, 110, 77, 105, 83, 111, 71, 99, 80, 108, 76, 104, 78, 106, 65, 93, 72, 100, 60, 88, 68, 96, 64, 92, 66, 94, 58, 86, 62, 90)
	L = (1, 60)(2, 65)(3, 68)(4, 71)(5, 64)(6, 72)(7, 57)(8, 76)(9, 77)(10, 78)(11, 58)(12, 80)(13, 66)(14, 59)(15, 79)(16, 83)(17, 61)(18, 62)(19, 63)(20, 75)(21, 73)(22, 82)(23, 67)(24, 84)(25, 69)(26, 70)(27, 81)(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, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.269
Graph:: bipartite
	v = 3 e = 56 f = 11
	degree seq :: [ 28^2, 56 ]

E22.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, (Y1, Y2^-1), Y2^-1 * Y3^-1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^5, Y1^2 * Y2 * Y3 * Y2 * Y1^2, Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y2^-1 * Y1)^4, (Y3^-1 * Y1^-1)^7 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 24, 52, 13, 41, 18, 46, 27, 55, 20, 48, 9, 37, 17, 45, 22, 50, 11, 39, 4, 32)(3, 31, 7, 35, 15, 43, 23, 51, 12, 40, 5, 33, 8, 36, 16, 44, 26, 54, 19, 47, 25, 53, 28, 56, 21, 49, 10, 38)(57, 85, 59, 87, 65, 93, 75, 103, 80, 108, 68, 96, 60, 88, 66, 94, 76, 104, 82, 110, 70, 98, 79, 107, 67, 95, 77, 105, 83, 111, 72, 100, 62, 90, 71, 99, 78, 106, 84, 112, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 81, 109, 69, 97, 61, 89)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 70)(7, 71)(8, 72)(9, 73)(10, 59)(11, 60)(12, 61)(13, 74)(14, 80)(15, 79)(16, 82)(17, 78)(18, 83)(19, 81)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 84)(26, 75)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.271
Graph:: bipartite
	v = 3 e = 56 f = 11
	degree seq :: [ 28^2, 56 ]

E22.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-3 * Y1, (Y1^-1, Y2), (Y3^-1, Y2^-1), (Y1^-1, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^3 * Y2^-2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y2 * Y1 * Y3 * Y2, (Y1^2 * Y3)^2, Y2^-8 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 13, 41, 17, 45, 4, 32, 10, 38, 24, 52, 21, 49, 7, 35, 12, 40, 22, 50, 19, 47, 5, 33)(3, 31, 9, 37, 18, 46, 25, 53, 27, 55, 14, 42, 23, 51, 26, 54, 28, 56, 16, 44, 20, 48, 6, 34, 11, 39, 15, 43)(57, 85, 59, 87, 69, 97, 81, 109, 66, 94, 79, 107, 63, 91, 72, 100, 75, 103, 67, 95, 58, 86, 65, 93, 73, 101, 83, 111, 80, 108, 82, 110, 68, 96, 76, 104, 61, 89, 71, 99, 64, 92, 74, 102, 60, 88, 70, 98, 77, 105, 84, 112, 78, 106, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 68)(5, 73)(6, 74)(7, 57)(8, 80)(9, 79)(10, 78)(11, 81)(12, 58)(13, 77)(14, 76)(15, 83)(16, 59)(17, 63)(18, 82)(19, 69)(20, 65)(21, 61)(22, 64)(23, 62)(24, 75)(25, 84)(26, 67)(27, 72)(28, 71)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.267
Graph:: bipartite
	v = 3 e = 56 f = 11
	degree seq :: [ 28^2, 56 ]

E22.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-1 * Y3^-1, (Y1, Y2^-1), (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y1^3 * Y2^2, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y2^-1 * Y1^2 * Y3 * Y2^-1, (Y1^-2 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 22, 50, 17, 45, 7, 35, 12, 40, 24, 52, 18, 46, 4, 32, 10, 38, 13, 41, 20, 48, 5, 33)(3, 31, 9, 37, 21, 49, 6, 34, 11, 39, 16, 44, 26, 54, 28, 56, 23, 51, 14, 42, 25, 53, 27, 55, 19, 47, 15, 43)(57, 85, 59, 87, 69, 97, 83, 111, 74, 102, 79, 107, 63, 91, 72, 100, 64, 92, 77, 105, 61, 89, 71, 99, 66, 94, 81, 109, 80, 108, 84, 112, 73, 101, 67, 95, 58, 86, 65, 93, 76, 104, 75, 103, 60, 88, 70, 98, 68, 96, 82, 110, 78, 106, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 69)(9, 81)(10, 63)(11, 71)(12, 58)(13, 68)(14, 67)(15, 79)(16, 59)(17, 61)(18, 78)(19, 84)(20, 80)(21, 83)(22, 76)(23, 62)(24, 64)(25, 72)(26, 65)(27, 82)(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) :: { ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ), ( 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14, 8, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.270
Graph:: bipartite
	v = 3 e = 56 f = 11
	degree seq :: [ 28^2, 56 ]

E22.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^4, (R * Y1)^2, (Y1, Y2^-1), R * Y2 * R * Y3^-1, (Y1, Y3^-1), Y2 * Y1 * Y2^3 * Y1 * Y3^-3, Y1^-2 * Y2^3 * Y3^-4, Y3 * Y1 * Y3^2 * Y1 * Y2^-4, Y2^14, (Y3 * Y2^-1)^7, Y3^-28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 5, 33)(3, 31, 7, 35, 13, 41, 10, 38)(4, 32, 8, 36, 14, 42, 12, 40)(9, 37, 15, 43, 21, 49, 18, 46)(11, 39, 16, 44, 22, 50, 20, 48)(17, 45, 23, 51, 27, 55, 26, 54)(19, 47, 24, 52, 25, 53, 28, 56)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 83, 111, 75, 103, 67, 95, 60, 88)(58, 86, 63, 91, 71, 99, 79, 107, 84, 112, 76, 104, 68, 96, 61, 89, 66, 94, 74, 102, 82, 110, 80, 108, 72, 100, 64, 92)
	L = (1, 60)(2, 64)(3, 57)(4, 67)(5, 68)(6, 70)(7, 58)(8, 72)(9, 59)(10, 61)(11, 75)(12, 76)(13, 62)(14, 78)(15, 63)(16, 80)(17, 65)(18, 66)(19, 83)(20, 84)(21, 69)(22, 81)(23, 71)(24, 82)(25, 73)(26, 74)(27, 77)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.294
Graph:: bipartite
	v = 9 e = 56 f = 5
	degree seq :: [ 8^7, 28^2 ]

E22.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-3, (R * Y2)^2, (Y3^-1, Y1^-1), (Y1^-1, Y2^-1), (R * Y1)^2, Y1^4, (R * Y3)^2, Y3^2 * Y2 * Y1^-2, Y1 * Y2 * Y3^2 * Y1, Y3^-28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 22, 50, 15, 43)(4, 32, 10, 38, 21, 49, 18, 46)(6, 34, 11, 39, 17, 45, 19, 47)(7, 35, 12, 40, 14, 42, 20, 48)(13, 41, 23, 51, 28, 56, 26, 54)(16, 44, 24, 52, 25, 53, 27, 55)(57, 85, 59, 87, 69, 97, 60, 88, 70, 98, 81, 109, 73, 101, 64, 92, 78, 106, 84, 112, 77, 105, 63, 91, 72, 100, 62, 90)(58, 86, 65, 93, 79, 107, 66, 94, 76, 104, 83, 111, 75, 103, 61, 89, 71, 99, 82, 110, 74, 102, 68, 96, 80, 108, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 69)(7, 57)(8, 77)(9, 76)(10, 75)(11, 79)(12, 58)(13, 81)(14, 64)(15, 68)(16, 59)(17, 84)(18, 67)(19, 82)(20, 61)(21, 62)(22, 63)(23, 83)(24, 65)(25, 78)(26, 80)(27, 71)(28, 72)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.293
Graph:: bipartite
	v = 9 e = 56 f = 5
	degree seq :: [ 8^7, 28^2 ]

E22.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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 * Y2^-3, (R * Y2)^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), Y1^4, (Y1^-1, Y2^-1), Y3^-1 * Y2 * Y3^-1 * Y1^2, Y1 * Y3^2 * Y2^-1 * Y1, Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 17, 45, 15, 43)(4, 32, 10, 38, 16, 44, 18, 46)(6, 34, 11, 39, 22, 50, 20, 48)(7, 35, 12, 40, 19, 47, 21, 49)(13, 41, 23, 51, 27, 55, 25, 53)(14, 42, 24, 52, 26, 54, 28, 56)(57, 85, 59, 87, 69, 97, 63, 91, 72, 100, 82, 110, 78, 106, 64, 92, 73, 101, 83, 111, 75, 103, 60, 88, 70, 98, 62, 90)(58, 86, 65, 93, 79, 107, 68, 96, 74, 102, 84, 112, 76, 104, 61, 89, 71, 99, 81, 109, 77, 105, 66, 94, 80, 108, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 72)(9, 80)(10, 71)(11, 77)(12, 58)(13, 62)(14, 83)(15, 84)(16, 59)(17, 82)(18, 65)(19, 64)(20, 68)(21, 61)(22, 63)(23, 67)(24, 81)(25, 76)(26, 69)(27, 78)(28, 79)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.292
Graph:: bipartite
	v = 9 e = 56 f = 5
	degree seq :: [ 8^7, 28^2 ]

E22.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y3, (R * Y1)^2, (Y3^-1, Y2^-1), (Y1^-1, Y2), Y1^4, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1^2 * Y2^2, Y2^-1 * Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 22, 50, 15, 43)(4, 32, 10, 38, 21, 49, 17, 45)(6, 34, 11, 39, 14, 42, 19, 47)(7, 35, 12, 40, 13, 41, 20, 48)(16, 44, 23, 51, 25, 53, 27, 55)(18, 46, 24, 52, 26, 54, 28, 56)(57, 85, 59, 87, 69, 97, 81, 109, 74, 102, 60, 88, 70, 98, 64, 92, 78, 106, 63, 91, 72, 100, 82, 110, 77, 105, 62, 90)(58, 86, 65, 93, 76, 104, 83, 111, 80, 108, 66, 94, 75, 103, 61, 89, 71, 99, 68, 96, 79, 107, 84, 112, 73, 101, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 72)(5, 73)(6, 74)(7, 57)(8, 77)(9, 75)(10, 79)(11, 80)(12, 58)(13, 64)(14, 82)(15, 67)(16, 59)(17, 83)(18, 63)(19, 84)(20, 61)(21, 81)(22, 62)(23, 65)(24, 68)(25, 78)(26, 69)(27, 71)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.295
Graph:: bipartite
	v = 9 e = 56 f = 5
	degree seq :: [ 8^7, 28^2 ]

E22.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y2, Y1^4, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^-1 * Y1^2 * Y2^2, Y3 * Y1^2 * Y2^-2, Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 5, 33)(3, 31, 9, 37, 19, 47, 15, 43)(4, 32, 10, 38, 13, 41, 18, 46)(6, 34, 11, 39, 16, 44, 20, 48)(7, 35, 12, 40, 22, 50, 21, 49)(14, 42, 23, 51, 25, 53, 27, 55)(17, 45, 24, 52, 26, 54, 28, 56)(57, 85, 59, 87, 69, 97, 81, 109, 73, 101, 63, 91, 72, 100, 64, 92, 75, 103, 60, 88, 70, 98, 82, 110, 78, 106, 62, 90)(58, 86, 65, 93, 74, 102, 83, 111, 80, 108, 68, 96, 76, 104, 61, 89, 71, 99, 66, 94, 79, 107, 84, 112, 77, 105, 67, 95)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 69)(9, 79)(10, 80)(11, 71)(12, 58)(13, 82)(14, 63)(15, 83)(16, 59)(17, 62)(18, 84)(19, 81)(20, 65)(21, 61)(22, 64)(23, 68)(24, 67)(25, 78)(26, 72)(27, 77)(28, 76)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14, 56, 14, 56, 14, 56, 14, 56 ), ( 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56, 14, 56 ) }
Outer automorphisms :: reflexible
Dual of E22.296
Graph:: bipartite
	v = 9 e = 56 f = 5
	degree seq :: [ 8^7, 28^2 ]

E22.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y2^-1 * Y3^-1, Y2 * Y3, Y1 * Y3^-1 * Y1^-1 * Y2^-1, R * Y2 * R * Y3^-1, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, Y2 * Y1 * Y3^2 * Y1^-1 * Y2, Y3^-4 * Y1^3, Y1^7, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y2 * Y1^-1 * Y2^2 * Y3^-1 * Y1^-3, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 14, 42, 25, 53, 13, 41, 5, 33)(3, 31, 7, 35, 15, 43, 22, 50, 28, 56, 21, 49, 10, 38)(4, 32, 8, 36, 16, 44, 26, 54, 19, 47, 24, 52, 12, 40)(9, 37, 17, 45, 23, 51, 11, 39, 18, 46, 27, 55, 20, 48)(57, 85, 59, 87, 65, 93, 75, 103, 81, 109, 84, 112, 74, 102, 64, 92, 58, 86, 63, 91, 73, 101, 80, 108, 69, 97, 77, 105, 83, 111, 72, 100, 62, 90, 71, 99, 79, 107, 68, 96, 61, 89, 66, 94, 76, 104, 82, 110, 70, 98, 78, 106, 67, 95, 60, 88)
	L = (1, 60)(2, 64)(3, 57)(4, 67)(5, 68)(6, 72)(7, 58)(8, 74)(9, 59)(10, 61)(11, 78)(12, 79)(13, 80)(14, 82)(15, 62)(16, 83)(17, 63)(18, 84)(19, 65)(20, 66)(21, 69)(22, 70)(23, 71)(24, 73)(25, 75)(26, 76)(27, 77)(28, 81)(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, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.289
Graph:: bipartite
	v = 5 e = 56 f = 9
	degree seq :: [ 14^4, 56 ]

E22.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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^-1 * Y2^-1, Y1^-1 * Y3 * Y2, (R * Y3)^2, (R * Y2)^2, Y2^2 * Y3^-1 * Y2, (R * Y1)^2, Y1^7, (Y3^-1 * Y1^-1)^4, Y3^8 * Y1 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 18, 46, 22, 50, 14, 42, 5, 33)(3, 31, 9, 37, 19, 47, 26, 54, 24, 52, 16, 44, 7, 35)(4, 32, 10, 38, 20, 48, 27, 55, 23, 51, 15, 43, 6, 34)(11, 39, 13, 41, 21, 49, 28, 56, 25, 53, 17, 45, 12, 40)(57, 85, 59, 87, 67, 95, 60, 88, 58, 86, 65, 93, 69, 97, 66, 94, 64, 92, 75, 103, 77, 105, 76, 104, 74, 102, 82, 110, 84, 112, 83, 111, 78, 106, 80, 108, 81, 109, 79, 107, 70, 98, 72, 100, 73, 101, 71, 99, 61, 89, 63, 91, 68, 96, 62, 90)
	L = (1, 60)(2, 66)(3, 58)(4, 69)(5, 62)(6, 67)(7, 57)(8, 76)(9, 64)(10, 77)(11, 65)(12, 59)(13, 75)(14, 71)(15, 68)(16, 61)(17, 63)(18, 83)(19, 74)(20, 84)(21, 82)(22, 79)(23, 73)(24, 70)(25, 72)(26, 78)(27, 81)(28, 80)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 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, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.288
Graph:: bipartite
	v = 5 e = 56 f = 9
	degree seq :: [ 14^4, 56 ]

E22.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y1^-2, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y3^2, Y2^-1 * Y3^-1 * Y2^-4, Y3 * Y2 * Y1^5, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 22, 50, 27, 55, 17, 45, 5, 33)(3, 31, 9, 37, 23, 51, 28, 56, 19, 47, 7, 35, 12, 40)(4, 32, 10, 38, 24, 52, 26, 54, 18, 46, 6, 34, 11, 39)(13, 41, 25, 53, 20, 48, 21, 49, 16, 44, 14, 42, 15, 43)(57, 85, 59, 87, 69, 97, 82, 110, 73, 101, 63, 91, 70, 98, 66, 94, 78, 106, 84, 112, 77, 105, 67, 95, 58, 86, 65, 93, 81, 109, 74, 102, 61, 89, 68, 96, 71, 99, 80, 108, 83, 111, 75, 103, 72, 100, 60, 88, 64, 92, 79, 107, 76, 104, 62, 90)
	L = (1, 60)(2, 66)(3, 64)(4, 71)(5, 67)(6, 72)(7, 57)(8, 80)(9, 78)(10, 69)(11, 70)(12, 58)(13, 79)(14, 59)(15, 65)(16, 68)(17, 62)(18, 77)(19, 61)(20, 75)(21, 63)(22, 82)(23, 83)(24, 81)(25, 84)(26, 76)(27, 74)(28, 73)(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, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.287
Graph:: bipartite
	v = 5 e = 56 f = 9
	degree seq :: [ 14^4, 56 ]

E22.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 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 * Y2 * Y3^-2, (Y2^-1, Y3^-1), (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y2^-1 * Y1^3 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y1^2, Y3 * Y1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3^-1 * Y2^2, Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 14, 42, 23, 51, 19, 47, 5, 33)(3, 31, 9, 37, 24, 52, 21, 49, 7, 35, 12, 40, 15, 43)(4, 32, 10, 38, 25, 53, 20, 48, 6, 34, 11, 39, 17, 45)(13, 41, 18, 46, 26, 54, 28, 56, 16, 44, 22, 50, 27, 55)(57, 85, 59, 87, 69, 97, 73, 101, 64, 92, 80, 108, 82, 110, 66, 94, 79, 107, 63, 91, 72, 100, 76, 104, 61, 89, 71, 99, 83, 111, 67, 95, 58, 86, 65, 93, 74, 102, 60, 88, 70, 98, 77, 105, 84, 112, 81, 109, 75, 103, 68, 96, 78, 106, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 72)(5, 73)(6, 74)(7, 57)(8, 81)(9, 79)(10, 78)(11, 82)(12, 58)(13, 77)(14, 76)(15, 64)(16, 59)(17, 84)(18, 63)(19, 67)(20, 69)(21, 61)(22, 65)(23, 62)(24, 75)(25, 83)(26, 68)(27, 80)(28, 71)(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, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.290
Graph:: bipartite
	v = 5 e = 56 f = 9
	degree seq :: [ 14^4, 56 ]

E22.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 7, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2, Y1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y2), Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2^3, Y3 * Y1 * Y2^-1 * Y3^2, Y3 * Y1 * Y3^2 * Y2^-1, Y2 * Y1^2 * Y3 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y3^-2, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 24, 52, 14, 42, 20, 48, 5, 33)(3, 31, 9, 37, 22, 50, 7, 35, 12, 40, 27, 55, 15, 43)(4, 32, 10, 38, 21, 49, 6, 34, 11, 39, 26, 54, 18, 46)(13, 41, 23, 51, 17, 45, 16, 44, 28, 56, 19, 47, 25, 53)(57, 85, 59, 87, 69, 97, 77, 105, 61, 89, 71, 99, 81, 109, 66, 94, 76, 104, 83, 111, 75, 103, 60, 88, 70, 98, 68, 96, 84, 112, 74, 102, 80, 108, 63, 91, 72, 100, 82, 110, 64, 92, 78, 106, 73, 101, 67, 95, 58, 86, 65, 93, 79, 107, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 73)(5, 74)(6, 75)(7, 57)(8, 77)(9, 76)(10, 72)(11, 81)(12, 58)(13, 68)(14, 67)(15, 80)(16, 59)(17, 71)(18, 79)(19, 78)(20, 82)(21, 84)(22, 61)(23, 83)(24, 62)(25, 63)(26, 69)(27, 64)(28, 65)(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, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E22.291
Graph:: bipartite
	v = 5 e = 56 f = 9
	degree seq :: [ 14^4, 56 ]

E22.297 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 6, 6, 15})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (Y3 * Y1^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^3, Y2^6, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3^3 * Y1 * Y3^-2, (Y1^-1 * Y3^-1 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 25, 55, 18, 48, 6, 36, 17, 47, 29, 59, 30, 60, 19, 49, 12, 42, 21, 51, 28, 58, 15, 45, 5, 35)(2, 32, 7, 37, 20, 50, 23, 53, 9, 39, 16, 46, 14, 44, 27, 57, 24, 54, 13, 43, 4, 34, 11, 41, 26, 56, 22, 52, 8, 38)(61, 62, 66, 76, 72, 64)(63, 69, 77, 73, 81, 68)(65, 71, 78, 67, 79, 74)(70, 84, 89, 82, 88, 83)(75, 87, 85, 86, 90, 80)(91, 92, 96, 106, 102, 94)(93, 99, 107, 103, 111, 98)(95, 101, 108, 97, 109, 104)(100, 114, 119, 112, 118, 113)(105, 117, 115, 116, 120, 110)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^6 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E22.303
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.298 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 6, 6, 15})
Quotient :: edge^2
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 * Y1, Y2^-1 * Y1^2 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (Y2^-1 * Y3)^2, Y2^-2 * Y1^-1 * Y3 * Y2^-1, Y1^-2 * Y3^-1 * Y1 * Y2^-1, Y3^3 * Y1^-1 * Y3^-1 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 16, 46, 27, 57, 21, 51, 8, 38, 10, 40, 25, 55, 29, 59, 13, 43, 18, 48, 9, 39, 24, 54, 23, 53, 7, 37)(2, 32, 6, 36, 20, 50, 30, 60, 15, 45, 14, 44, 3, 33, 12, 42, 28, 58, 19, 49, 5, 35, 17, 47, 22, 52, 26, 56, 11, 41)(61, 62, 68, 74, 78, 65)(63, 67, 77, 81, 66, 73)(64, 75, 70, 79, 69, 71)(72, 87, 82, 89, 80, 83)(76, 88, 85, 86, 84, 90)(91, 93, 98, 107, 108, 96)(92, 99, 104, 94, 95, 100)(97, 110, 111, 102, 103, 112)(101, 115, 105, 114, 109, 106)(113, 116, 117, 120, 119, 118)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^6 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E22.304
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.299 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 6, 6, 15})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^5, Y2^6, Y1^6, (Y3 * Y1^-1 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 9, 39, 13, 43, 5, 35)(2, 32, 7, 37, 17, 47, 18, 48, 8, 38)(4, 34, 11, 41, 21, 51, 19, 49, 10, 40)(6, 36, 15, 45, 25, 55, 26, 56, 16, 46)(12, 42, 20, 50, 27, 57, 28, 58, 22, 52)(14, 44, 23, 53, 29, 59, 30, 60, 24, 54)(61, 62, 66, 74, 72, 64)(63, 68, 75, 84, 80, 70)(65, 67, 76, 83, 82, 71)(69, 78, 85, 90, 87, 79)(73, 77, 86, 89, 88, 81)(91, 92, 96, 104, 102, 94)(93, 98, 105, 114, 110, 100)(95, 97, 106, 113, 112, 101)(99, 108, 115, 120, 117, 109)(103, 107, 116, 119, 118, 111)
	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) :: { ( 60^6 ), ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E22.301
Graph:: simple bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 6^10, 10^6 ]

E22.300 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {5, 6, 6, 15})
Quotient :: edge^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y2^-1 * Y1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y2^6, Y1^6, (Y2 * Y1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 4, 34, 13, 43, 19, 49, 7, 37)(2, 32, 3, 33, 12, 42, 24, 54, 10, 40)(5, 35, 6, 36, 17, 47, 27, 57, 14, 44)(8, 38, 9, 39, 23, 53, 26, 56, 11, 41)(15, 45, 16, 46, 28, 58, 29, 59, 18, 48)(20, 50, 21, 51, 25, 55, 30, 60, 22, 52)(61, 62, 68, 80, 75, 65)(63, 71, 81, 78, 66, 67)(64, 70, 69, 82, 76, 74)(72, 86, 85, 89, 77, 79)(73, 84, 83, 90, 88, 87)(91, 93, 98, 111, 105, 96)(92, 99, 110, 106, 95, 94)(97, 102, 101, 115, 108, 107)(100, 113, 112, 118, 104, 103)(109, 114, 116, 120, 119, 117)
	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) :: { ( 60^6 ), ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E22.302
Graph:: simple bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 6^10, 10^6 ]

E22.301 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 6, 6, 15})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (Y3 * Y1^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^3, Y2^6, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3^3 * Y1 * Y3^-2, (Y1^-1 * Y3^-1 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 25, 55, 85, 115, 18, 48, 78, 108, 6, 36, 66, 96, 17, 47, 77, 107, 29, 59, 89, 119, 30, 60, 90, 120, 19, 49, 79, 109, 12, 42, 72, 102, 21, 51, 81, 111, 28, 58, 88, 118, 15, 45, 75, 105, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 20, 50, 80, 110, 23, 53, 83, 113, 9, 39, 69, 99, 16, 46, 76, 106, 14, 44, 74, 104, 27, 57, 87, 117, 24, 54, 84, 114, 13, 43, 73, 103, 4, 34, 64, 94, 11, 41, 71, 101, 26, 56, 86, 116, 22, 52, 82, 112, 8, 38, 68, 98)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 41)(6, 46)(7, 49)(8, 33)(9, 47)(10, 54)(11, 48)(12, 34)(13, 51)(14, 35)(15, 57)(16, 42)(17, 43)(18, 37)(19, 44)(20, 45)(21, 38)(22, 58)(23, 40)(24, 59)(25, 56)(26, 60)(27, 55)(28, 53)(29, 52)(30, 50)(61, 92)(62, 96)(63, 99)(64, 91)(65, 101)(66, 106)(67, 109)(68, 93)(69, 107)(70, 114)(71, 108)(72, 94)(73, 111)(74, 95)(75, 117)(76, 102)(77, 103)(78, 97)(79, 104)(80, 105)(81, 98)(82, 118)(83, 100)(84, 119)(85, 116)(86, 120)(87, 115)(88, 113)(89, 112)(90, 110)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.299
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.302 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 6, 6, 15})
Quotient :: loop^2
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 * Y1, Y2^-1 * Y1^2 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (Y2^-1 * Y3)^2, Y2^-2 * Y1^-1 * Y3 * Y2^-1, Y1^-2 * Y3^-1 * Y1 * Y2^-1, Y3^3 * Y1^-1 * Y3^-1 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 16, 46, 76, 106, 27, 57, 87, 117, 21, 51, 81, 111, 8, 38, 68, 98, 10, 40, 70, 100, 25, 55, 85, 115, 29, 59, 89, 119, 13, 43, 73, 103, 18, 48, 78, 108, 9, 39, 69, 99, 24, 54, 84, 114, 23, 53, 83, 113, 7, 37, 67, 97)(2, 32, 62, 92, 6, 36, 66, 96, 20, 50, 80, 110, 30, 60, 90, 120, 15, 45, 75, 105, 14, 44, 74, 104, 3, 33, 63, 93, 12, 42, 72, 102, 28, 58, 88, 118, 19, 49, 79, 109, 5, 35, 65, 95, 17, 47, 77, 107, 22, 52, 82, 112, 26, 56, 86, 116, 11, 41, 71, 101)
	L = (1, 32)(2, 38)(3, 37)(4, 45)(5, 31)(6, 43)(7, 47)(8, 44)(9, 41)(10, 49)(11, 34)(12, 57)(13, 33)(14, 48)(15, 40)(16, 58)(17, 51)(18, 35)(19, 39)(20, 53)(21, 36)(22, 59)(23, 42)(24, 60)(25, 56)(26, 54)(27, 52)(28, 55)(29, 50)(30, 46)(61, 93)(62, 99)(63, 98)(64, 95)(65, 100)(66, 91)(67, 110)(68, 107)(69, 104)(70, 92)(71, 115)(72, 103)(73, 112)(74, 94)(75, 114)(76, 101)(77, 108)(78, 96)(79, 106)(80, 111)(81, 102)(82, 97)(83, 116)(84, 109)(85, 105)(86, 117)(87, 120)(88, 113)(89, 118)(90, 119)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.300
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.303 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 6, 6, 15})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^5, Y2^6, Y1^6, (Y3 * Y1^-1 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 9, 39, 69, 99, 13, 43, 73, 103, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 17, 47, 77, 107, 18, 48, 78, 108, 8, 38, 68, 98)(4, 34, 64, 94, 11, 41, 71, 101, 21, 51, 81, 111, 19, 49, 79, 109, 10, 40, 70, 100)(6, 36, 66, 96, 15, 45, 75, 105, 25, 55, 85, 115, 26, 56, 86, 116, 16, 46, 76, 106)(12, 42, 72, 102, 20, 50, 80, 110, 27, 57, 87, 117, 28, 58, 88, 118, 22, 52, 82, 112)(14, 44, 74, 104, 23, 53, 83, 113, 29, 59, 89, 119, 30, 60, 90, 120, 24, 54, 84, 114)
	L = (1, 32)(2, 36)(3, 38)(4, 31)(5, 37)(6, 44)(7, 46)(8, 45)(9, 48)(10, 33)(11, 35)(12, 34)(13, 47)(14, 42)(15, 54)(16, 53)(17, 56)(18, 55)(19, 39)(20, 40)(21, 43)(22, 41)(23, 52)(24, 50)(25, 60)(26, 59)(27, 49)(28, 51)(29, 58)(30, 57)(61, 92)(62, 96)(63, 98)(64, 91)(65, 97)(66, 104)(67, 106)(68, 105)(69, 108)(70, 93)(71, 95)(72, 94)(73, 107)(74, 102)(75, 114)(76, 113)(77, 116)(78, 115)(79, 99)(80, 100)(81, 103)(82, 101)(83, 112)(84, 110)(85, 120)(86, 119)(87, 109)(88, 111)(89, 118)(90, 117)
	local type(s) :: { ( 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 E22.297
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 20^6 ]

E22.304 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {5, 6, 6, 15})
Quotient :: loop^2
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y2^-1 * Y1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3^5, Y2^6, Y1^6, (Y2 * Y1 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 4, 34, 64, 94, 13, 43, 73, 103, 19, 49, 79, 109, 7, 37, 67, 97)(2, 32, 62, 92, 3, 33, 63, 93, 12, 42, 72, 102, 24, 54, 84, 114, 10, 40, 70, 100)(5, 35, 65, 95, 6, 36, 66, 96, 17, 47, 77, 107, 27, 57, 87, 117, 14, 44, 74, 104)(8, 38, 68, 98, 9, 39, 69, 99, 23, 53, 83, 113, 26, 56, 86, 116, 11, 41, 71, 101)(15, 45, 75, 105, 16, 46, 76, 106, 28, 58, 88, 118, 29, 59, 89, 119, 18, 48, 78, 108)(20, 50, 80, 110, 21, 51, 81, 111, 25, 55, 85, 115, 30, 60, 90, 120, 22, 52, 82, 112)
	L = (1, 32)(2, 38)(3, 41)(4, 40)(5, 31)(6, 37)(7, 33)(8, 50)(9, 52)(10, 39)(11, 51)(12, 56)(13, 54)(14, 34)(15, 35)(16, 44)(17, 49)(18, 36)(19, 42)(20, 45)(21, 48)(22, 46)(23, 60)(24, 53)(25, 59)(26, 55)(27, 43)(28, 57)(29, 47)(30, 58)(61, 93)(62, 99)(63, 98)(64, 92)(65, 94)(66, 91)(67, 102)(68, 111)(69, 110)(70, 113)(71, 115)(72, 101)(73, 100)(74, 103)(75, 96)(76, 95)(77, 97)(78, 107)(79, 114)(80, 106)(81, 105)(82, 118)(83, 112)(84, 116)(85, 108)(86, 120)(87, 109)(88, 104)(89, 117)(90, 119)
	local type(s) :: { ( 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 E22.298
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 20^6 ]

E22.305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, Y3^3, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2)^2, Y1^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 5, 35)(3, 33, 13, 43, 24, 54, 19, 49, 9, 39)(4, 34, 10, 40, 20, 50, 26, 56, 15, 45)(6, 36, 17, 47, 27, 57, 21, 51, 11, 41)(7, 37, 12, 42, 22, 52, 28, 58, 18, 48)(14, 44, 25, 55, 30, 60, 29, 59, 23, 53)(61, 91, 63, 93, 64, 94, 74, 104, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 83, 113, 72, 102, 71, 101)(65, 95, 73, 103, 75, 105, 85, 115, 78, 108, 77, 107)(68, 98, 79, 109, 80, 110, 89, 119, 82, 112, 81, 111)(76, 106, 84, 114, 86, 116, 90, 120, 88, 118, 87, 117)
	L = (1, 64)(2, 70)(3, 74)(4, 67)(5, 75)(6, 63)(7, 61)(8, 80)(9, 83)(10, 72)(11, 69)(12, 62)(13, 85)(14, 66)(15, 78)(16, 86)(17, 73)(18, 65)(19, 89)(20, 82)(21, 79)(22, 68)(23, 71)(24, 90)(25, 77)(26, 88)(27, 84)(28, 76)(29, 81)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.309
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, Y1^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1^-1 * Y2^-2, (Y3^-1, Y1^-1), (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^3 * Y1^2, Y1^5, Y3 * Y1^-1 * Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 5, 35)(3, 33, 13, 43, 28, 58, 22, 52, 9, 39)(4, 34, 10, 40, 21, 51, 27, 57, 14, 44)(6, 36, 19, 49, 30, 60, 23, 53, 11, 41)(7, 37, 12, 42, 24, 54, 17, 47, 20, 50)(15, 45, 29, 59, 26, 56, 16, 46, 25, 55)(61, 91, 63, 93, 74, 104, 85, 115, 72, 102, 66, 96)(62, 92, 69, 99, 64, 94, 76, 106, 84, 114, 71, 101)(65, 95, 73, 103, 87, 117, 75, 105, 67, 97, 79, 109)(68, 98, 82, 112, 70, 100, 86, 116, 77, 107, 83, 113)(78, 108, 88, 118, 81, 111, 89, 119, 80, 110, 90, 120)
	L = (1, 64)(2, 70)(3, 75)(4, 77)(5, 74)(6, 73)(7, 61)(8, 81)(9, 85)(10, 80)(11, 63)(12, 62)(13, 89)(14, 84)(15, 90)(16, 66)(17, 78)(18, 87)(19, 88)(20, 65)(21, 67)(22, 76)(23, 69)(24, 68)(25, 79)(26, 71)(27, 72)(28, 86)(29, 83)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.312
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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^-3 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1, (Y3^-1, Y1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y3^-1, R * Y2 * R * Y1 * Y2, Y1^5, Y2^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 5, 35)(3, 33, 13, 43, 20, 50, 23, 53, 9, 39)(4, 34, 10, 40, 14, 44, 27, 57, 19, 49)(6, 36, 22, 52, 16, 46, 25, 55, 11, 41)(7, 37, 12, 42, 26, 56, 24, 54, 18, 48)(15, 45, 29, 59, 30, 60, 28, 58, 17, 47)(61, 91, 63, 93, 74, 104, 90, 120, 84, 114, 66, 96)(62, 92, 69, 99, 87, 117, 89, 119, 78, 108, 71, 101)(64, 94, 77, 107, 72, 102, 76, 106, 81, 111, 80, 110)(65, 95, 73, 103, 70, 100, 88, 118, 86, 116, 82, 112)(67, 97, 85, 115, 68, 98, 83, 113, 79, 109, 75, 105)
	L = (1, 64)(2, 70)(3, 75)(4, 78)(5, 79)(6, 83)(7, 61)(8, 74)(9, 77)(10, 67)(11, 80)(12, 62)(13, 89)(14, 72)(15, 82)(16, 63)(17, 66)(18, 65)(19, 84)(20, 90)(21, 87)(22, 69)(23, 88)(24, 81)(25, 73)(26, 68)(27, 86)(28, 71)(29, 76)(30, 85)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.311
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, Y3^3 * Y1^-1, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y1^-2 * Y2 * Y3^-1, Y1^5, R * Y2 * Y1 * R * Y2, Y2^6, (Y3^-1 * Y1^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 13, 43, 23, 53, 19, 49, 9, 39)(4, 34, 10, 40, 26, 56, 14, 44, 18, 48)(6, 36, 21, 51, 25, 55, 16, 46, 11, 41)(7, 37, 12, 42, 24, 54, 28, 58, 22, 52)(15, 45, 17, 47, 30, 60, 29, 59, 27, 57)(61, 91, 63, 93, 74, 104, 89, 119, 84, 114, 66, 96)(62, 92, 69, 99, 78, 108, 90, 120, 88, 118, 71, 101)(64, 94, 77, 107, 82, 112, 76, 106, 68, 98, 79, 109)(65, 95, 73, 103, 86, 116, 87, 117, 72, 102, 81, 111)(67, 97, 85, 115, 80, 110, 83, 113, 70, 100, 75, 105)
	L = (1, 64)(2, 70)(3, 75)(4, 72)(5, 78)(6, 83)(7, 61)(8, 86)(9, 87)(10, 84)(11, 73)(12, 62)(13, 77)(14, 82)(15, 71)(16, 63)(17, 66)(18, 67)(19, 89)(20, 74)(21, 79)(22, 65)(23, 90)(24, 68)(25, 69)(26, 88)(27, 76)(28, 80)(29, 85)(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, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.310
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, Y3^3, Y3^-1 * Y1^-2, (Y2^-1 * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3^-1 * Y2^-5, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 4, 34, 5, 35)(3, 33, 11, 41, 14, 44, 17, 47, 13, 43, 9, 39)(6, 36, 16, 46, 20, 50, 8, 38, 15, 45, 18, 48)(12, 42, 24, 54, 27, 57, 22, 52, 26, 56, 23, 53)(19, 49, 30, 60, 25, 55, 29, 59, 28, 58, 21, 51)(61, 91, 63, 93, 72, 102, 85, 115, 80, 110, 67, 97, 74, 104, 87, 117, 88, 118, 75, 105, 64, 94, 73, 103, 86, 116, 79, 109, 66, 96)(62, 92, 68, 98, 81, 111, 83, 113, 71, 101, 70, 100, 78, 108, 90, 120, 84, 114, 77, 107, 65, 95, 76, 106, 89, 119, 82, 112, 69, 99)
	L = (1, 64)(2, 65)(3, 73)(4, 67)(5, 70)(6, 75)(7, 61)(8, 76)(9, 77)(10, 62)(11, 69)(12, 86)(13, 74)(14, 63)(15, 80)(16, 78)(17, 71)(18, 68)(19, 88)(20, 66)(21, 89)(22, 84)(23, 82)(24, 83)(25, 79)(26, 87)(27, 72)(28, 85)(29, 90)(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) :: { ( 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, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.305
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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^-1 * Y1^2 * Y3^-1, (Y3, Y2), (Y3 * Y1^-1)^2, Y3^-1 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^4, Y3^-1 * Y2^4, (Y3 * Y2)^3, Y1^-1 * Y2^-1 * Y1^-2 * Y3^-1 * Y1^-1, (Y2^-2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 17, 47, 5, 35)(3, 33, 10, 40, 23, 53, 18, 48, 7, 37, 11, 41)(4, 34, 9, 39, 24, 54, 19, 49, 6, 36, 12, 42)(13, 43, 27, 57, 21, 51, 29, 59, 14, 44, 28, 58)(15, 45, 25, 55, 20, 50, 30, 60, 16, 46, 26, 56)(61, 91, 63, 93, 73, 103, 76, 106, 64, 94, 68, 98, 83, 113, 81, 111, 75, 105, 84, 114, 77, 107, 67, 97, 74, 104, 80, 110, 66, 96)(62, 92, 69, 99, 85, 115, 88, 118, 70, 100, 82, 112, 79, 109, 90, 120, 87, 117, 78, 108, 65, 95, 72, 102, 86, 116, 89, 119, 71, 101)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 84)(9, 82)(10, 87)(11, 88)(12, 62)(13, 83)(14, 63)(15, 74)(16, 81)(17, 66)(18, 89)(19, 65)(20, 73)(21, 67)(22, 78)(23, 77)(24, 80)(25, 79)(26, 69)(27, 86)(28, 90)(29, 85)(30, 72)(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, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.308
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (R * Y3)^2, (R * Y2)^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y2^2 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y1^6, (Y3^-1 * Y1^-1)^6, Y2^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 13, 43, 17, 47, 21, 51, 30, 60, 11, 41)(4, 34, 16, 46, 27, 57, 22, 52, 14, 44, 12, 42)(6, 36, 18, 48, 28, 58, 9, 39, 15, 45, 23, 53)(7, 37, 19, 49, 24, 54, 10, 40, 29, 59, 25, 55)(61, 91, 63, 93, 74, 104, 89, 119, 88, 118, 68, 98, 77, 107, 64, 94, 67, 97, 75, 105, 80, 110, 90, 120, 87, 117, 84, 114, 66, 96)(62, 92, 69, 99, 79, 109, 82, 112, 73, 103, 86, 116, 83, 113, 70, 100, 72, 102, 81, 111, 65, 95, 78, 108, 85, 115, 76, 106, 71, 101)
	L = (1, 64)(2, 70)(3, 67)(4, 66)(5, 79)(6, 77)(7, 61)(8, 87)(9, 72)(10, 71)(11, 83)(12, 62)(13, 78)(14, 75)(15, 63)(16, 86)(17, 84)(18, 82)(19, 81)(20, 74)(21, 69)(22, 65)(23, 76)(24, 68)(25, 73)(26, 85)(27, 88)(28, 90)(29, 80)(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) :: { ( 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, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.307
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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, (Y2, Y3^-1), (Y2, Y3), (Y1 * Y3^-1)^2, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y2 * Y1^-1 * Y3^2, Y1 * Y3 * Y2^-1 * Y3 * Y1, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 20, 50, 5, 35)(3, 33, 13, 43, 27, 57, 21, 51, 16, 46, 11, 41)(4, 34, 15, 45, 14, 44, 22, 52, 30, 60, 12, 42)(6, 36, 18, 48, 25, 55, 9, 39, 29, 59, 23, 53)(7, 37, 19, 49, 28, 58, 10, 40, 17, 47, 24, 54)(61, 91, 63, 93, 67, 97, 74, 104, 85, 115, 68, 98, 87, 117, 88, 118, 90, 120, 89, 119, 80, 110, 76, 106, 77, 107, 64, 94, 66, 96)(62, 92, 69, 99, 72, 102, 84, 114, 73, 103, 86, 116, 83, 113, 75, 105, 79, 109, 81, 111, 65, 95, 78, 108, 82, 112, 70, 100, 71, 101)
	L = (1, 64)(2, 70)(3, 66)(4, 76)(5, 79)(6, 77)(7, 61)(8, 74)(9, 71)(10, 78)(11, 82)(12, 62)(13, 72)(14, 63)(15, 86)(16, 89)(17, 80)(18, 81)(19, 83)(20, 90)(21, 75)(22, 65)(23, 73)(24, 69)(25, 67)(26, 84)(27, 85)(28, 68)(29, 88)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.306
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 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 * Y3, Y3^3, (Y1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y1^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 5, 35)(3, 33, 9, 39, 19, 49, 25, 55, 14, 44)(4, 34, 10, 40, 20, 50, 26, 56, 15, 45)(6, 36, 11, 41, 21, 51, 27, 57, 17, 47)(7, 37, 12, 42, 22, 52, 28, 58, 18, 48)(13, 43, 23, 53, 29, 59, 30, 60, 24, 54)(61, 91, 63, 93, 64, 94, 73, 103, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 83, 113, 72, 102, 71, 101)(65, 95, 74, 104, 75, 105, 84, 114, 78, 108, 77, 107)(68, 98, 79, 109, 80, 110, 89, 119, 82, 112, 81, 111)(76, 106, 85, 115, 86, 116, 90, 120, 88, 118, 87, 117)
	L = (1, 64)(2, 70)(3, 73)(4, 67)(5, 75)(6, 63)(7, 61)(8, 80)(9, 83)(10, 72)(11, 69)(12, 62)(13, 66)(14, 84)(15, 78)(16, 86)(17, 74)(18, 65)(19, 89)(20, 82)(21, 79)(22, 68)(23, 71)(24, 77)(25, 90)(26, 88)(27, 85)(28, 76)(29, 81)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.314
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 6, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3 * Y1, (Y1^-1, Y2), (R * Y1)^2, (Y3^-1, Y2), (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2^-5, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 20, 50, 12, 42, 13, 43)(6, 36, 9, 39, 18, 48, 22, 52, 15, 45, 16, 46)(11, 41, 19, 49, 26, 56, 30, 60, 24, 54, 25, 55)(17, 47, 21, 51, 23, 53, 29, 59, 27, 57, 28, 58)(61, 91, 63, 93, 71, 101, 83, 113, 78, 108, 67, 97, 74, 104, 86, 116, 87, 117, 75, 105, 64, 94, 72, 102, 84, 114, 77, 107, 66, 96)(62, 92, 68, 98, 79, 109, 89, 119, 82, 112, 70, 100, 80, 110, 90, 120, 88, 118, 76, 106, 65, 95, 73, 103, 85, 115, 81, 111, 69, 99)
	L = (1, 64)(2, 65)(3, 72)(4, 67)(5, 70)(6, 75)(7, 61)(8, 73)(9, 76)(10, 62)(11, 84)(12, 74)(13, 80)(14, 63)(15, 78)(16, 82)(17, 87)(18, 66)(19, 85)(20, 68)(21, 88)(22, 69)(23, 77)(24, 86)(25, 90)(26, 71)(27, 83)(28, 89)(29, 81)(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) :: { ( 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, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.313
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.315 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 10, 10, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y1^-1 * Y3)^2, Y3 * Y1 * Y2^2 * Y3 * Y1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y1^2 * Y3)^3, Y2^10, Y3^15 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 10, 40, 26, 56, 23, 53, 21, 51, 13, 43, 28, 58, 20, 50, 6, 36, 19, 49, 22, 52, 30, 60, 17, 47, 5, 35)(2, 32, 7, 37, 11, 41, 27, 57, 15, 45, 14, 44, 4, 34, 12, 42, 29, 59, 18, 48, 16, 46, 9, 39, 25, 55, 24, 54, 8, 38)(61, 62, 66, 78, 86, 87, 90, 85, 73, 64)(63, 69, 79, 74, 83, 68, 77, 89, 88, 71)(65, 75, 80, 84, 70, 72, 82, 67, 81, 76)(91, 92, 96, 108, 116, 117, 120, 115, 103, 94)(93, 99, 109, 104, 113, 98, 107, 119, 118, 101)(95, 105, 110, 114, 100, 102, 112, 97, 111, 106)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12^10 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E22.318
Graph:: bipartite
	v = 8 e = 60 f = 10
	degree seq :: [ 10^6, 30^2 ]

E22.316 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 10, 10, 15})
Quotient :: edge^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^10, Y2^10, (Y3 * Y1^-1 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 3, 33, 5, 35)(2, 32, 7, 37, 8, 38)(4, 34, 10, 40, 9, 39)(6, 36, 13, 43, 14, 44)(11, 41, 15, 45, 16, 46)(12, 42, 19, 49, 20, 50)(17, 47, 22, 52, 21, 51)(18, 48, 25, 55, 26, 56)(23, 53, 27, 57, 28, 58)(24, 54, 29, 59, 30, 60)(61, 62, 66, 72, 78, 84, 83, 77, 71, 64)(63, 68, 73, 80, 85, 90, 87, 81, 75, 69)(65, 67, 74, 79, 86, 89, 88, 82, 76, 70)(91, 92, 96, 102, 108, 114, 113, 107, 101, 94)(93, 98, 103, 110, 115, 120, 117, 111, 105, 99)(95, 97, 104, 109, 116, 119, 118, 112, 106, 100)
	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) :: { ( 60^6 ), ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E22.317
Graph:: simple bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 6^10, 10^6 ]

E22.317 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 10, 10, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^-1 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y1^-1 * Y3)^2, Y3 * Y1 * Y2^2 * Y3 * Y1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, (Y1^2 * Y3)^3, Y2^10, Y3^15 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 10, 40, 70, 100, 26, 56, 86, 116, 23, 53, 83, 113, 21, 51, 81, 111, 13, 43, 73, 103, 28, 58, 88, 118, 20, 50, 80, 110, 6, 36, 66, 96, 19, 49, 79, 109, 22, 52, 82, 112, 30, 60, 90, 120, 17, 47, 77, 107, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 11, 41, 71, 101, 27, 57, 87, 117, 15, 45, 75, 105, 14, 44, 74, 104, 4, 34, 64, 94, 12, 42, 72, 102, 29, 59, 89, 119, 18, 48, 78, 108, 16, 46, 76, 106, 9, 39, 69, 99, 25, 55, 85, 115, 24, 54, 84, 114, 8, 38, 68, 98)
	L = (1, 32)(2, 36)(3, 39)(4, 31)(5, 45)(6, 48)(7, 51)(8, 47)(9, 49)(10, 42)(11, 33)(12, 52)(13, 34)(14, 53)(15, 50)(16, 35)(17, 59)(18, 56)(19, 44)(20, 54)(21, 46)(22, 37)(23, 38)(24, 40)(25, 43)(26, 57)(27, 60)(28, 41)(29, 58)(30, 55)(61, 92)(62, 96)(63, 99)(64, 91)(65, 105)(66, 108)(67, 111)(68, 107)(69, 109)(70, 102)(71, 93)(72, 112)(73, 94)(74, 113)(75, 110)(76, 95)(77, 119)(78, 116)(79, 104)(80, 114)(81, 106)(82, 97)(83, 98)(84, 100)(85, 103)(86, 117)(87, 120)(88, 101)(89, 118)(90, 115)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.316
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.318 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 10, 10, 15})
Quotient :: loop^2
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^10, Y2^10, (Y3 * Y1^-1 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 61, 91, 3, 33, 63, 93, 5, 35, 65, 95)(2, 32, 62, 92, 7, 37, 67, 97, 8, 38, 68, 98)(4, 34, 64, 94, 10, 40, 70, 100, 9, 39, 69, 99)(6, 36, 66, 96, 13, 43, 73, 103, 14, 44, 74, 104)(11, 41, 71, 101, 15, 45, 75, 105, 16, 46, 76, 106)(12, 42, 72, 102, 19, 49, 79, 109, 20, 50, 80, 110)(17, 47, 77, 107, 22, 52, 82, 112, 21, 51, 81, 111)(18, 48, 78, 108, 25, 55, 85, 115, 26, 56, 86, 116)(23, 53, 83, 113, 27, 57, 87, 117, 28, 58, 88, 118)(24, 54, 84, 114, 29, 59, 89, 119, 30, 60, 90, 120)
	L = (1, 32)(2, 36)(3, 38)(4, 31)(5, 37)(6, 42)(7, 44)(8, 43)(9, 33)(10, 35)(11, 34)(12, 48)(13, 50)(14, 49)(15, 39)(16, 40)(17, 41)(18, 54)(19, 56)(20, 55)(21, 45)(22, 46)(23, 47)(24, 53)(25, 60)(26, 59)(27, 51)(28, 52)(29, 58)(30, 57)(61, 92)(62, 96)(63, 98)(64, 91)(65, 97)(66, 102)(67, 104)(68, 103)(69, 93)(70, 95)(71, 94)(72, 108)(73, 110)(74, 109)(75, 99)(76, 100)(77, 101)(78, 114)(79, 116)(80, 115)(81, 105)(82, 106)(83, 107)(84, 113)(85, 120)(86, 119)(87, 111)(88, 112)(89, 118)(90, 117)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.315
Transitivity :: VT+
Graph:: bipartite
	v = 10 e = 60 f = 8
	degree seq :: [ 12^10 ]

E22.319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2^-2, (Y3^-1, Y2^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^-1 * Y2^4, Y3^5, (Y1^-1 * Y3^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 12, 42, 8, 38)(4, 34, 9, 39, 17, 47)(6, 36, 19, 49, 10, 40)(7, 37, 11, 41, 20, 50)(13, 43, 21, 51, 26, 56)(14, 44, 27, 57, 22, 52)(15, 45, 28, 58, 23, 53)(16, 46, 24, 54, 29, 59)(18, 48, 30, 60, 25, 55)(61, 91, 63, 93, 73, 103, 78, 108, 64, 94, 74, 104, 67, 97, 75, 105, 76, 106, 66, 96)(62, 92, 68, 98, 81, 111, 85, 115, 69, 99, 82, 112, 71, 101, 83, 113, 84, 114, 70, 100)(65, 95, 72, 102, 86, 116, 90, 120, 77, 107, 87, 117, 80, 110, 88, 118, 89, 119, 79, 109)
	L = (1, 64)(2, 69)(3, 74)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 84)(10, 85)(11, 62)(12, 87)(13, 67)(14, 66)(15, 63)(16, 73)(17, 89)(18, 75)(19, 90)(20, 65)(21, 71)(22, 70)(23, 68)(24, 81)(25, 83)(26, 80)(27, 79)(28, 72)(29, 86)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.326
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y1^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, (Y3, Y1), (R * Y2)^2, (R * Y1)^2, Y3^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 12, 42, 8, 38)(4, 34, 9, 39, 15, 45)(6, 36, 16, 46, 10, 40)(7, 37, 11, 41, 17, 47)(13, 43, 24, 54, 20, 50)(14, 44, 21, 51, 26, 56)(18, 48, 27, 57, 22, 52)(19, 49, 23, 53, 28, 58)(25, 55, 30, 60, 29, 59)(61, 91, 63, 93, 64, 94, 73, 103, 74, 104, 85, 115, 79, 109, 78, 108, 67, 97, 66, 96)(62, 92, 68, 98, 69, 99, 80, 110, 81, 111, 89, 119, 83, 113, 82, 112, 71, 101, 70, 100)(65, 95, 72, 102, 75, 105, 84, 114, 86, 116, 90, 120, 88, 118, 87, 117, 77, 107, 76, 106)
	L = (1, 64)(2, 69)(3, 73)(4, 74)(5, 75)(6, 63)(7, 61)(8, 80)(9, 81)(10, 68)(11, 62)(12, 84)(13, 85)(14, 79)(15, 86)(16, 72)(17, 65)(18, 66)(19, 67)(20, 89)(21, 83)(22, 70)(23, 71)(24, 90)(25, 78)(26, 88)(27, 76)(28, 77)(29, 82)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.327
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^3, Y2 * Y1 * Y2^-1 * Y1, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^5, (Y3^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 12, 42, 8, 38)(4, 34, 9, 39, 15, 45)(6, 36, 17, 47, 10, 40)(7, 37, 11, 41, 18, 48)(13, 43, 24, 54, 20, 50)(14, 44, 21, 51, 26, 56)(16, 46, 27, 57, 22, 52)(19, 49, 23, 53, 28, 58)(25, 55, 30, 60, 29, 59)(61, 91, 63, 93, 67, 97, 73, 103, 79, 109, 85, 115, 74, 104, 76, 106, 64, 94, 66, 96)(62, 92, 68, 98, 71, 101, 80, 110, 83, 113, 89, 119, 81, 111, 82, 112, 69, 99, 70, 100)(65, 95, 72, 102, 78, 108, 84, 114, 88, 118, 90, 120, 86, 116, 87, 117, 75, 105, 77, 107)
	L = (1, 64)(2, 69)(3, 66)(4, 74)(5, 75)(6, 76)(7, 61)(8, 70)(9, 81)(10, 82)(11, 62)(12, 77)(13, 63)(14, 79)(15, 86)(16, 85)(17, 87)(18, 65)(19, 67)(20, 68)(21, 83)(22, 89)(23, 71)(24, 72)(25, 73)(26, 88)(27, 90)(28, 78)(29, 80)(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) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.325
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^2 * Y2, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1, R * Y2 * R * Y1^-1 * Y2, Y2^2 * Y3^-3, Y2^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 12, 42, 8, 38)(4, 34, 9, 39, 18, 48)(6, 36, 20, 50, 10, 40)(7, 37, 11, 41, 21, 51)(13, 43, 25, 55, 30, 60)(14, 44, 16, 46, 26, 56)(15, 45, 29, 59, 24, 54)(17, 47, 23, 53, 28, 58)(19, 49, 27, 57, 22, 52)(61, 91, 63, 93, 73, 103, 87, 117, 78, 108, 86, 116, 71, 101, 89, 119, 83, 113, 66, 96)(62, 92, 68, 98, 85, 115, 79, 109, 64, 94, 76, 106, 81, 111, 75, 105, 88, 118, 70, 100)(65, 95, 72, 102, 90, 120, 82, 112, 69, 99, 74, 104, 67, 97, 84, 114, 77, 107, 80, 110)
	L = (1, 64)(2, 69)(3, 74)(4, 77)(5, 78)(6, 82)(7, 61)(8, 86)(9, 83)(10, 87)(11, 62)(12, 76)(13, 81)(14, 70)(15, 63)(16, 66)(17, 73)(18, 88)(19, 89)(20, 79)(21, 65)(22, 75)(23, 85)(24, 68)(25, 67)(26, 80)(27, 84)(28, 90)(29, 72)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.329
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y2^2 * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2^2, (R * Y1)^2, Y2 * Y3^-1 * Y2 * Y1^-1, Y1 * Y3 * Y1 * Y2^-2, R * Y2 * Y1 * R * Y2, (Y2^-1 * Y3^-2)^2, Y3^2 * Y1 * Y3^3, (Y3 * Y1^-1)^5, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 12, 42, 8, 38)(4, 34, 9, 39, 13, 43)(6, 36, 17, 47, 10, 40)(7, 37, 11, 41, 18, 48)(14, 44, 15, 45, 22, 52)(16, 46, 23, 53, 26, 56)(19, 49, 24, 54, 20, 50)(21, 51, 25, 55, 30, 60)(27, 57, 28, 58, 29, 59)(61, 91, 63, 93, 73, 103, 82, 112, 83, 113, 88, 118, 90, 120, 84, 114, 71, 101, 66, 96)(62, 92, 68, 98, 64, 94, 75, 105, 86, 116, 87, 117, 81, 111, 79, 109, 78, 108, 70, 100)(65, 95, 72, 102, 69, 99, 74, 104, 76, 106, 89, 119, 85, 115, 80, 110, 67, 97, 77, 107)
	L = (1, 64)(2, 69)(3, 74)(4, 76)(5, 73)(6, 72)(7, 61)(8, 82)(9, 83)(10, 63)(11, 62)(12, 75)(13, 86)(14, 87)(15, 88)(16, 90)(17, 68)(18, 65)(19, 66)(20, 70)(21, 67)(22, 89)(23, 81)(24, 77)(25, 71)(26, 85)(27, 84)(28, 80)(29, 79)(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) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.330
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y1^-1 * Y3 * Y2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1, R * Y2 * Y3 * R * Y2^-1, Y1^-1 * Y3^-5, (Y3^-2 * Y2)^2, (Y3^-1 * Y1)^5, Y3 * 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^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 12, 42, 8, 38)(4, 34, 9, 39, 16, 46)(6, 36, 13, 43, 10, 40)(7, 37, 11, 41, 18, 48)(14, 44, 24, 54, 20, 50)(15, 45, 22, 52, 28, 58)(17, 47, 23, 53, 19, 49)(21, 51, 25, 55, 27, 57)(26, 56, 30, 60, 29, 59)(61, 91, 63, 93, 71, 101, 84, 114, 87, 117, 89, 119, 82, 112, 83, 113, 76, 106, 66, 96)(62, 92, 68, 98, 78, 108, 74, 104, 81, 111, 90, 120, 88, 118, 77, 107, 64, 94, 70, 100)(65, 95, 72, 102, 67, 97, 80, 110, 85, 115, 86, 116, 75, 105, 79, 109, 69, 99, 73, 103)
	L = (1, 64)(2, 69)(3, 73)(4, 75)(5, 76)(6, 79)(7, 61)(8, 66)(9, 82)(10, 83)(11, 62)(12, 70)(13, 77)(14, 63)(15, 87)(16, 88)(17, 89)(18, 65)(19, 90)(20, 68)(21, 67)(22, 81)(23, 86)(24, 72)(25, 71)(26, 74)(27, 78)(28, 85)(29, 80)(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) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.328
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-2 * Y3, (R * Y2)^2, (Y2 * Y1^-1)^2, Y3^2 * Y2^3, Y3^5, Y1 * Y3 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 7, 37, 12, 42, 4, 34, 10, 40, 19, 49, 5, 35)(3, 33, 13, 43, 23, 53, 30, 60, 16, 46, 27, 57, 15, 45, 20, 50, 28, 58, 11, 41)(6, 36, 18, 48, 25, 55, 9, 39, 24, 54, 29, 59, 17, 47, 26, 56, 14, 44, 22, 52)(61, 91, 63, 93, 74, 104, 79, 109, 88, 118, 77, 107, 64, 94, 75, 105, 84, 114, 67, 97, 76, 106, 85, 115, 68, 98, 83, 113, 66, 96)(62, 92, 69, 99, 80, 110, 65, 95, 78, 108, 87, 117, 70, 100, 82, 112, 90, 120, 72, 102, 86, 116, 73, 103, 81, 111, 89, 119, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 68)(5, 72)(6, 77)(7, 61)(8, 79)(9, 82)(10, 81)(11, 87)(12, 62)(13, 80)(14, 84)(15, 83)(16, 63)(17, 85)(18, 86)(19, 67)(20, 90)(21, 65)(22, 89)(23, 88)(24, 66)(25, 74)(26, 69)(27, 73)(28, 76)(29, 78)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.321
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, (R * Y2)^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, Y2^-3 * Y3^-2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 16, 46, 29, 59, 25, 55, 20, 50, 7, 37, 5, 35)(3, 33, 11, 41, 13, 43, 26, 56, 23, 53, 19, 49, 30, 60, 10, 40, 15, 45, 14, 44)(6, 36, 21, 51, 17, 47, 18, 48, 28, 58, 8, 38, 12, 42, 27, 57, 24, 54, 22, 52)(61, 91, 63, 93, 72, 102, 85, 115, 90, 120, 77, 107, 64, 94, 73, 103, 84, 114, 67, 97, 75, 105, 88, 118, 76, 106, 83, 113, 66, 96)(62, 92, 68, 98, 86, 116, 80, 110, 81, 111, 74, 104, 69, 99, 87, 117, 79, 109, 65, 95, 78, 108, 71, 101, 89, 119, 82, 112, 70, 100)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 62)(6, 77)(7, 61)(8, 87)(9, 89)(10, 74)(11, 86)(12, 84)(13, 83)(14, 71)(15, 63)(16, 85)(17, 88)(18, 68)(19, 70)(20, 65)(21, 78)(22, 81)(23, 90)(24, 66)(25, 67)(26, 79)(27, 82)(28, 72)(29, 80)(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) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.319
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, (R * Y1)^2, (Y2, Y3), (R * Y2)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2^3 * Y3^2, Y3^5, Y2 * Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y2 * Y1^-1)^2, (Y3^2 * Y1^-1)^2, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 25, 55, 30, 60, 16, 46, 17, 47, 4, 34, 5, 35)(3, 33, 11, 41, 15, 45, 20, 50, 27, 57, 9, 39, 23, 53, 29, 59, 13, 43, 14, 44)(6, 36, 21, 51, 24, 54, 28, 58, 12, 42, 19, 49, 26, 56, 8, 38, 18, 48, 22, 52)(61, 91, 63, 93, 72, 102, 85, 115, 87, 117, 78, 108, 64, 94, 73, 103, 84, 114, 67, 97, 75, 105, 86, 116, 76, 106, 83, 113, 66, 96)(62, 92, 68, 98, 74, 104, 90, 120, 81, 111, 80, 110, 65, 95, 79, 109, 89, 119, 70, 100, 82, 112, 71, 101, 77, 107, 88, 118, 69, 99)
	L = (1, 64)(2, 65)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 79)(9, 80)(10, 62)(11, 74)(12, 84)(13, 83)(14, 89)(15, 63)(16, 85)(17, 90)(18, 86)(19, 88)(20, 71)(21, 82)(22, 68)(23, 87)(24, 66)(25, 67)(26, 72)(27, 75)(28, 81)(29, 69)(30, 70)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.320
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y1^-2, (Y3^-1, Y2^-1), Y2^-1 * Y3^-1 * Y1^2, (R * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^4 * Y3, Y2 * Y3^4, (Y2^-1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 28, 58, 30, 60, 27, 57, 29, 59, 17, 47, 5, 35)(3, 33, 10, 40, 20, 50, 26, 56, 16, 46, 23, 53, 15, 45, 18, 48, 7, 37, 11, 41)(4, 34, 9, 39, 21, 51, 25, 55, 14, 44, 24, 54, 13, 43, 19, 49, 6, 36, 12, 42)(61, 91, 63, 93, 73, 103, 77, 107, 67, 97, 74, 104, 87, 117, 75, 105, 81, 111, 88, 118, 76, 106, 64, 94, 68, 98, 80, 110, 66, 96)(62, 92, 69, 99, 78, 108, 65, 95, 72, 102, 83, 113, 89, 119, 79, 109, 86, 116, 90, 120, 84, 114, 70, 100, 82, 112, 85, 115, 71, 101)
	L = (1, 64)(2, 70)(3, 68)(4, 75)(5, 71)(6, 76)(7, 61)(8, 81)(9, 82)(10, 79)(11, 84)(12, 62)(13, 80)(14, 63)(15, 77)(16, 87)(17, 66)(18, 85)(19, 65)(20, 88)(21, 67)(22, 86)(23, 69)(24, 89)(25, 90)(26, 72)(27, 73)(28, 74)(29, 78)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.324
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1^-1 * Y3 * Y1, (R * Y2)^2, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^4, Y3^-1 * Y2^-4, Y3 * Y2^-2 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 14, 44, 28, 58, 24, 54, 30, 60, 20, 50, 5, 35)(3, 33, 10, 40, 17, 47, 27, 57, 23, 53, 21, 51, 7, 37, 11, 41, 19, 49, 15, 45)(4, 34, 9, 39, 13, 43, 29, 59, 25, 55, 22, 52, 6, 36, 12, 42, 16, 46, 18, 48)(61, 91, 63, 93, 73, 103, 84, 114, 67, 97, 76, 106, 68, 98, 77, 107, 85, 115, 80, 110, 79, 109, 64, 94, 74, 104, 83, 113, 66, 96)(62, 92, 69, 99, 87, 117, 90, 120, 72, 102, 75, 105, 86, 116, 89, 119, 81, 111, 65, 95, 78, 108, 70, 100, 88, 118, 82, 112, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 75)(6, 79)(7, 61)(8, 73)(9, 88)(10, 89)(11, 78)(12, 62)(13, 83)(14, 85)(15, 69)(16, 63)(17, 84)(18, 86)(19, 68)(20, 76)(21, 72)(22, 65)(23, 80)(24, 66)(25, 67)(26, 87)(27, 82)(28, 81)(29, 90)(30, 71)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.322
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C5 x S3 (small group id <30, 1>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y1^-1, (Y2, Y3^-1), Y3 * Y1^-2 * Y2^-2, Y3 * Y2 * Y3^3, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y3 * Y2^4, Y3^-1 * Y1^2 * Y2^2, Y1^10, Y3^-1 * 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 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 26, 56, 24, 54, 29, 59, 14, 44, 27, 57, 20, 50, 5, 35)(3, 33, 10, 40, 19, 49, 21, 51, 7, 37, 11, 41, 23, 53, 30, 60, 17, 47, 15, 45)(4, 34, 9, 39, 16, 46, 22, 52, 6, 36, 12, 42, 25, 55, 28, 58, 13, 43, 18, 48)(61, 91, 63, 93, 73, 103, 84, 114, 67, 97, 76, 106, 80, 110, 77, 107, 85, 115, 68, 98, 79, 109, 64, 94, 74, 104, 83, 113, 66, 96)(62, 92, 69, 99, 75, 105, 89, 119, 72, 102, 81, 111, 65, 95, 78, 108, 90, 120, 86, 116, 82, 112, 70, 100, 87, 117, 88, 118, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 75)(6, 79)(7, 61)(8, 76)(9, 87)(10, 78)(11, 82)(12, 62)(13, 83)(14, 85)(15, 88)(16, 63)(17, 84)(18, 89)(19, 80)(20, 73)(21, 69)(22, 65)(23, 68)(24, 66)(25, 67)(26, 81)(27, 90)(28, 86)(29, 71)(30, 72)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.323
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3 * Y2)^2, (R * Y3)^2, Y3^-2 * Y2^-2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^-2 * Y2^2 * Y3^-1, Y2^-10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 21, 51, 26, 56)(13, 43, 22, 52, 27, 57)(15, 45, 23, 53, 28, 58)(16, 46, 24, 54, 29, 59)(18, 48, 25, 55, 30, 60)(61, 91, 63, 93, 72, 102, 78, 108, 64, 94, 73, 103, 67, 97, 75, 105, 76, 106, 66, 96)(62, 92, 68, 98, 81, 111, 85, 115, 69, 99, 82, 112, 71, 101, 83, 113, 84, 114, 70, 100)(65, 95, 74, 104, 86, 116, 90, 120, 77, 107, 87, 117, 80, 110, 88, 118, 89, 119, 79, 109)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 84)(10, 85)(11, 62)(12, 67)(13, 66)(14, 87)(15, 63)(16, 72)(17, 89)(18, 75)(19, 90)(20, 65)(21, 71)(22, 70)(23, 68)(24, 81)(25, 83)(26, 80)(27, 79)(28, 74)(29, 86)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.337
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^3, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), Y3^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 13, 43)(4, 34, 9, 39, 15, 45)(6, 36, 10, 40, 16, 46)(7, 37, 11, 41, 17, 47)(12, 42, 20, 50, 25, 55)(14, 44, 21, 51, 26, 56)(18, 48, 22, 52, 27, 57)(19, 49, 23, 53, 28, 58)(24, 54, 29, 59, 30, 60)(61, 91, 63, 93, 64, 94, 72, 102, 74, 104, 84, 114, 79, 109, 78, 108, 67, 97, 66, 96)(62, 92, 68, 98, 69, 99, 80, 110, 81, 111, 89, 119, 83, 113, 82, 112, 71, 101, 70, 100)(65, 95, 73, 103, 75, 105, 85, 115, 86, 116, 90, 120, 88, 118, 87, 117, 77, 107, 76, 106)
	L = (1, 64)(2, 69)(3, 72)(4, 74)(5, 75)(6, 63)(7, 61)(8, 80)(9, 81)(10, 68)(11, 62)(12, 84)(13, 85)(14, 79)(15, 86)(16, 73)(17, 65)(18, 66)(19, 67)(20, 89)(21, 83)(22, 70)(23, 71)(24, 78)(25, 90)(26, 88)(27, 76)(28, 77)(29, 82)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.338
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2, Y1^3, (Y1, Y2^-1), (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y3^5, (Y3^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 12, 42)(4, 34, 9, 39, 15, 45)(6, 36, 10, 40, 17, 47)(7, 37, 11, 41, 18, 48)(13, 43, 20, 50, 24, 54)(14, 44, 21, 51, 26, 56)(16, 46, 22, 52, 27, 57)(19, 49, 23, 53, 28, 58)(25, 55, 29, 59, 30, 60)(61, 91, 63, 93, 67, 97, 73, 103, 79, 109, 85, 115, 74, 104, 76, 106, 64, 94, 66, 96)(62, 92, 68, 98, 71, 101, 80, 110, 83, 113, 89, 119, 81, 111, 82, 112, 69, 99, 70, 100)(65, 95, 72, 102, 78, 108, 84, 114, 88, 118, 90, 120, 86, 116, 87, 117, 75, 105, 77, 107)
	L = (1, 64)(2, 69)(3, 66)(4, 74)(5, 75)(6, 76)(7, 61)(8, 70)(9, 81)(10, 82)(11, 62)(12, 77)(13, 63)(14, 79)(15, 86)(16, 85)(17, 87)(18, 65)(19, 67)(20, 68)(21, 83)(22, 89)(23, 71)(24, 72)(25, 73)(26, 88)(27, 90)(28, 78)(29, 80)(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) :: { ( 20, 30, 20, 30, 20, 30 ), ( 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30, 20, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.336
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 6^10, 20^3 ]

E22.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 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, Y2^-1), Y2^-2 * Y1 * Y2^-1, Y3^3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y1^-1, (R * Y2)^2, (Y1, Y3^-1), (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 6, 36, 11, 41, 21, 51, 14, 44, 3, 33, 9, 39, 5, 35)(4, 34, 10, 40, 20, 50, 17, 47, 25, 55, 29, 59, 27, 57, 13, 43, 23, 53, 16, 46)(7, 37, 12, 42, 22, 52, 19, 49, 26, 56, 30, 60, 28, 58, 15, 45, 24, 54, 18, 48)(61, 91, 63, 93, 71, 101, 62, 92, 69, 99, 81, 111, 68, 98, 65, 95, 74, 104, 66, 96)(64, 94, 73, 103, 85, 115, 70, 100, 83, 113, 89, 119, 80, 110, 76, 106, 87, 117, 77, 107)(67, 97, 75, 105, 86, 116, 72, 102, 84, 114, 90, 120, 82, 112, 78, 108, 88, 118, 79, 109)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 77)(7, 61)(8, 80)(9, 83)(10, 84)(11, 85)(12, 62)(13, 86)(14, 87)(15, 63)(16, 88)(17, 67)(18, 65)(19, 66)(20, 78)(21, 89)(22, 68)(23, 90)(24, 69)(25, 72)(26, 71)(27, 79)(28, 74)(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) :: { ( 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 E22.335
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 20^6 ]

E22.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y3^2, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, Y2^-1 * Y1^5, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 13, 43, 3, 33, 9, 39, 21, 51, 27, 57, 17, 47, 6, 36, 11, 41, 23, 53, 16, 46, 5, 35)(4, 34, 10, 40, 22, 52, 26, 56, 14, 44, 12, 42, 24, 54, 30, 60, 29, 59, 19, 49, 15, 45, 25, 55, 28, 58, 18, 48, 7, 37)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 72, 102, 75, 105)(65, 95, 73, 103, 77, 107)(67, 97, 74, 104, 79, 109)(68, 98, 81, 111, 83, 113)(70, 100, 84, 114, 85, 115)(76, 106, 80, 110, 87, 117)(78, 108, 86, 116, 89, 119)(82, 112, 90, 120, 88, 118)
	L = (1, 64)(2, 70)(3, 72)(4, 62)(5, 67)(6, 75)(7, 61)(8, 82)(9, 84)(10, 68)(11, 85)(12, 69)(13, 74)(14, 63)(15, 71)(16, 78)(17, 79)(18, 65)(19, 66)(20, 86)(21, 90)(22, 80)(23, 88)(24, 81)(25, 83)(26, 73)(27, 89)(28, 76)(29, 77)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^6 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E22.334
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y2^-1), (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, Y2 * Y1^2 * Y2^2, Y3^3 * Y1^2, Y2 * Y3 * Y2 * Y3 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 7, 37, 12, 42, 4, 34, 10, 40, 18, 48, 5, 35)(3, 33, 9, 39, 21, 51, 27, 57, 16, 46, 25, 55, 14, 44, 24, 54, 29, 59, 15, 45)(6, 36, 11, 41, 23, 53, 30, 60, 22, 52, 28, 58, 17, 47, 26, 56, 13, 43, 19, 49)(61, 91, 63, 93, 73, 103, 78, 108, 89, 119, 77, 107, 64, 94, 74, 104, 82, 112, 67, 97, 76, 106, 83, 113, 68, 98, 81, 111, 66, 96)(62, 92, 69, 99, 79, 109, 65, 95, 75, 105, 86, 116, 70, 100, 84, 114, 88, 118, 72, 102, 85, 115, 90, 120, 80, 110, 87, 117, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 68)(5, 72)(6, 77)(7, 61)(8, 78)(9, 84)(10, 80)(11, 86)(12, 62)(13, 82)(14, 81)(15, 85)(16, 63)(17, 83)(18, 67)(19, 88)(20, 65)(21, 89)(22, 66)(23, 73)(24, 87)(25, 69)(26, 90)(27, 75)(28, 71)(29, 76)(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) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.333
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, Y2^-3 * Y3^-2, Y3^5, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 9, 39, 15, 45, 24, 54, 21, 51, 18, 48, 7, 37, 5, 35)(3, 33, 8, 38, 12, 42, 23, 53, 19, 49, 26, 56, 30, 60, 29, 59, 14, 44, 13, 43)(6, 36, 10, 40, 16, 46, 25, 55, 28, 58, 27, 57, 11, 41, 22, 52, 20, 50, 17, 47)(61, 91, 63, 93, 71, 101, 81, 111, 90, 120, 76, 106, 64, 94, 72, 102, 80, 110, 67, 97, 74, 104, 88, 118, 75, 105, 79, 109, 66, 96)(62, 92, 68, 98, 82, 112, 78, 108, 89, 119, 85, 115, 69, 99, 83, 113, 77, 107, 65, 95, 73, 103, 87, 117, 84, 114, 86, 116, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 75)(5, 62)(6, 76)(7, 61)(8, 83)(9, 84)(10, 85)(11, 80)(12, 79)(13, 68)(14, 63)(15, 81)(16, 88)(17, 70)(18, 65)(19, 90)(20, 66)(21, 67)(22, 77)(23, 86)(24, 78)(25, 87)(26, 89)(27, 82)(28, 71)(29, 73)(30, 74)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.331
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 10, 10, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, (Y2, Y3^-1), (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2^3 * Y3^2, Y3^5, Y3 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, (Y3^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 21, 51, 26, 56, 15, 45, 16, 46, 4, 34, 5, 35)(3, 33, 8, 38, 14, 44, 23, 53, 28, 58, 30, 60, 19, 49, 24, 54, 12, 42, 13, 43)(6, 36, 9, 39, 20, 50, 25, 55, 11, 41, 22, 52, 27, 57, 29, 59, 17, 47, 18, 48)(61, 91, 63, 93, 71, 101, 81, 111, 88, 118, 77, 107, 64, 94, 72, 102, 80, 110, 67, 97, 74, 104, 87, 117, 75, 105, 79, 109, 66, 96)(62, 92, 68, 98, 82, 112, 86, 116, 90, 120, 78, 108, 65, 95, 73, 103, 85, 115, 70, 100, 83, 113, 89, 119, 76, 106, 84, 114, 69, 99)
	L = (1, 64)(2, 65)(3, 72)(4, 75)(5, 76)(6, 77)(7, 61)(8, 73)(9, 78)(10, 62)(11, 80)(12, 79)(13, 84)(14, 63)(15, 81)(16, 86)(17, 87)(18, 89)(19, 88)(20, 66)(21, 67)(22, 85)(23, 68)(24, 90)(25, 69)(26, 70)(27, 71)(28, 74)(29, 82)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ), ( 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20, 6, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.332
Graph:: bipartite
	v = 5 e = 60 f = 13
	degree seq :: [ 20^3, 30^2 ]

E22.339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y1, Y1 * Y2^-2, (Y3, Y2^-1), (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-2 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3^-4 * Y2 * Y3^-2, (Y2^-1 * Y3)^6, 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 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 3, 33, 5, 35)(4, 34, 8, 38, 14, 44, 10, 40, 13, 43)(7, 37, 9, 39, 16, 46, 11, 41, 15, 45)(12, 42, 18, 48, 24, 54, 20, 50, 23, 53)(17, 47, 19, 49, 26, 56, 21, 51, 25, 55)(22, 52, 28, 58, 27, 57, 29, 59, 30, 60)(61, 91, 63, 93, 62, 92, 65, 95, 66, 96)(64, 94, 70, 100, 68, 98, 73, 103, 74, 104)(67, 97, 71, 101, 69, 99, 75, 105, 76, 106)(72, 102, 80, 110, 78, 108, 83, 113, 84, 114)(77, 107, 81, 111, 79, 109, 85, 115, 86, 116)(82, 112, 89, 119, 88, 118, 90, 120, 87, 117)
	L = (1, 64)(2, 68)(3, 70)(4, 72)(5, 73)(6, 74)(7, 61)(8, 78)(9, 62)(10, 80)(11, 63)(12, 82)(13, 83)(14, 84)(15, 65)(16, 66)(17, 67)(18, 88)(19, 69)(20, 89)(21, 71)(22, 81)(23, 90)(24, 87)(25, 75)(26, 76)(27, 77)(28, 85)(29, 79)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.346
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 10^12 ]

E22.340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3^-1 * Y1, Y1^-1 * Y3, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y2^6, (Y3^-1 * Y1^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 11, 41, 4, 34)(3, 33, 7, 37, 14, 44, 20, 50, 10, 40)(5, 35, 8, 38, 15, 45, 21, 51, 12, 42)(9, 39, 16, 46, 23, 53, 27, 57, 19, 49)(13, 43, 17, 47, 24, 54, 28, 58, 22, 52)(18, 48, 25, 55, 29, 59, 30, 60, 26, 56)(61, 91, 63, 93, 69, 99, 78, 108, 73, 103, 65, 95)(62, 92, 67, 97, 76, 106, 85, 115, 77, 107, 68, 98)(64, 94, 70, 100, 79, 109, 86, 116, 82, 112, 72, 102)(66, 96, 74, 104, 83, 113, 89, 119, 84, 114, 75, 105)(71, 101, 80, 110, 87, 117, 90, 120, 88, 118, 81, 111)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 83)(17, 84)(18, 85)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 88)(25, 89)(26, 78)(27, 79)(28, 82)(29, 90)(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, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.345
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^2, Y1 * Y3^-2, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^6, 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, 7, 37, 4, 34, 5, 35)(3, 33, 8, 38, 13, 43, 11, 41, 12, 42)(6, 36, 9, 39, 17, 47, 14, 44, 15, 45)(10, 40, 18, 48, 23, 53, 21, 51, 22, 52)(16, 46, 19, 49, 26, 56, 24, 54, 25, 55)(20, 50, 27, 57, 30, 60, 28, 58, 29, 59)(61, 91, 63, 93, 70, 100, 80, 110, 76, 106, 66, 96)(62, 92, 68, 98, 78, 108, 87, 117, 79, 109, 69, 99)(64, 94, 71, 101, 81, 111, 88, 118, 84, 114, 74, 104)(65, 95, 72, 102, 82, 112, 89, 119, 85, 115, 75, 105)(67, 97, 73, 103, 83, 113, 90, 120, 86, 116, 77, 107)
	L = (1, 64)(2, 65)(3, 71)(4, 62)(5, 67)(6, 74)(7, 61)(8, 72)(9, 75)(10, 81)(11, 68)(12, 73)(13, 63)(14, 69)(15, 77)(16, 84)(17, 66)(18, 82)(19, 85)(20, 88)(21, 78)(22, 83)(23, 70)(24, 79)(25, 86)(26, 76)(27, 89)(28, 87)(29, 90)(30, 80)(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, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.344
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3, Y1 * Y3^-1 * Y1, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 4, 34, 7, 37, 5, 35)(3, 33, 8, 38, 11, 41, 13, 43, 12, 42)(6, 36, 9, 39, 14, 44, 17, 47, 15, 45)(10, 40, 18, 48, 21, 51, 23, 53, 22, 52)(16, 46, 19, 49, 24, 54, 26, 56, 25, 55)(20, 50, 27, 57, 28, 58, 30, 60, 29, 59)(61, 91, 63, 93, 70, 100, 80, 110, 76, 106, 66, 96)(62, 92, 68, 98, 78, 108, 87, 117, 79, 109, 69, 99)(64, 94, 71, 101, 81, 111, 88, 118, 84, 114, 74, 104)(65, 95, 72, 102, 82, 112, 89, 119, 85, 115, 75, 105)(67, 97, 73, 103, 83, 113, 90, 120, 86, 116, 77, 107)
	L = (1, 64)(2, 67)(3, 71)(4, 65)(5, 62)(6, 74)(7, 61)(8, 73)(9, 77)(10, 81)(11, 72)(12, 68)(13, 63)(14, 75)(15, 69)(16, 84)(17, 66)(18, 83)(19, 86)(20, 88)(21, 82)(22, 78)(23, 70)(24, 85)(25, 79)(26, 76)(27, 90)(28, 89)(29, 87)(30, 80)(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, 60, 10, 60, 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.343
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 10^6, 12^5 ]

E22.343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y3^-1 * Y2^-1, Y2 * Y3, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y3^5, Y2^5, Y2^-1 * Y1^6, Y1^2 * Y3^-1 * Y2 * Y1^-2 * Y2^-2, (Y3 * Y2^-1)^5, (Y1^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 20, 50, 10, 40, 3, 33, 7, 37, 15, 45, 24, 54, 27, 57, 19, 49, 9, 39, 17, 47, 25, 55, 30, 60, 28, 58, 21, 51, 11, 41, 18, 48, 26, 56, 29, 59, 22, 52, 12, 42, 4, 34, 8, 38, 16, 46, 23, 53, 13, 43, 5, 35)(61, 91, 63, 93, 69, 99, 71, 101, 64, 94)(62, 92, 67, 97, 77, 107, 78, 108, 68, 98)(65, 95, 70, 100, 79, 109, 81, 111, 72, 102)(66, 96, 75, 105, 85, 115, 86, 116, 76, 106)(73, 103, 80, 110, 87, 117, 88, 118, 82, 112)(74, 104, 84, 114, 90, 120, 89, 119, 83, 113)
	L = (1, 64)(2, 68)(3, 61)(4, 71)(5, 72)(6, 76)(7, 62)(8, 78)(9, 63)(10, 65)(11, 69)(12, 81)(13, 82)(14, 83)(15, 66)(16, 86)(17, 67)(18, 77)(19, 70)(20, 73)(21, 79)(22, 88)(23, 89)(24, 74)(25, 75)(26, 85)(27, 80)(28, 87)(29, 90)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ), ( 10, 12, 10, 12, 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, 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 E22.342
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 10^6, 60 ]

E22.344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y2 * Y3^2, (Y3^-1, Y1), (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y1^-2 * Y3^2 * Y1^2, Y1^-1 * Y3^-1 * Y1^-5, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 27, 57, 17, 47, 7, 37, 12, 42, 22, 52, 30, 60, 23, 53, 13, 43, 3, 33, 9, 39, 19, 49, 28, 58, 26, 56, 16, 46, 6, 36, 11, 41, 21, 51, 29, 59, 24, 54, 14, 44, 4, 34, 10, 40, 20, 50, 25, 55, 15, 45, 5, 35)(61, 91, 63, 93, 64, 94, 67, 97, 66, 96)(62, 92, 69, 99, 70, 100, 72, 102, 71, 101)(65, 95, 73, 103, 74, 104, 77, 107, 76, 106)(68, 98, 79, 109, 80, 110, 82, 112, 81, 111)(75, 105, 83, 113, 84, 114, 87, 117, 86, 116)(78, 108, 88, 118, 85, 115, 90, 120, 89, 119)
	L = (1, 64)(2, 70)(3, 67)(4, 66)(5, 74)(6, 63)(7, 61)(8, 80)(9, 72)(10, 71)(11, 69)(12, 62)(13, 77)(14, 76)(15, 84)(16, 73)(17, 65)(18, 85)(19, 82)(20, 81)(21, 79)(22, 68)(23, 87)(24, 86)(25, 89)(26, 83)(27, 75)(28, 90)(29, 88)(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) :: { ( 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, 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, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.341
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 10^6, 60 ]

E22.345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y2 * Y3 * Y2, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, Y1^-3 * Y3^-1 * Y1^-3, Y1^-1 * Y3^-1 * Y1^-5, (Y1^-3 * Y2)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 18, 48, 27, 57, 17, 47, 7, 37, 12, 42, 22, 52, 30, 60, 26, 56, 16, 46, 6, 36, 11, 41, 21, 51, 29, 59, 23, 53, 13, 43, 3, 33, 9, 39, 19, 49, 28, 58, 24, 54, 14, 44, 4, 34, 10, 40, 20, 50, 25, 55, 15, 45, 5, 35)(61, 91, 63, 93, 67, 97, 64, 94, 66, 96)(62, 92, 69, 99, 72, 102, 70, 100, 71, 101)(65, 95, 73, 103, 77, 107, 74, 104, 76, 106)(68, 98, 79, 109, 82, 112, 80, 110, 81, 111)(75, 105, 83, 113, 87, 117, 84, 114, 86, 116)(78, 108, 88, 118, 90, 120, 85, 115, 89, 119)
	L = (1, 64)(2, 70)(3, 66)(4, 63)(5, 74)(6, 67)(7, 61)(8, 80)(9, 71)(10, 69)(11, 72)(12, 62)(13, 76)(14, 73)(15, 84)(16, 77)(17, 65)(18, 85)(19, 81)(20, 79)(21, 82)(22, 68)(23, 86)(24, 83)(25, 88)(26, 87)(27, 75)(28, 89)(29, 90)(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) :: { ( 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, 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, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.340
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 10^6, 60 ]

E22.346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 5, 6, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y1), (Y1, Y2), Y2^2 * Y3^-1 * Y1, (R * Y3)^2, Y3 * Y1^-1 * Y2^-2, (R * Y1)^2, (Y3, Y1^-1), Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y2)^2, Y2^-1 * Y3^-2 * Y1^3, Y2^3 * Y3 * Y1^-2, Y3^2 * Y1^-3 * Y2, Y1^-1 * Y2^-1 * Y3^-2 * Y1^-2, (Y1^-1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 21, 51, 30, 60, 15, 45)(4, 34, 10, 40, 24, 54, 20, 50, 29, 59, 13, 43)(6, 36, 11, 41, 25, 55, 17, 47, 28, 58, 16, 46)(7, 37, 12, 42, 26, 56, 14, 44, 27, 57, 19, 49)(61, 91, 63, 93, 73, 103, 86, 116, 71, 101, 62, 92, 69, 99, 64, 94, 74, 104, 85, 115, 68, 98, 83, 113, 70, 100, 87, 117, 77, 107, 82, 112, 81, 111, 84, 114, 79, 109, 88, 118, 78, 108, 90, 120, 80, 110, 67, 97, 76, 106, 65, 95, 75, 105, 89, 119, 72, 102, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 73)(6, 69)(7, 61)(8, 84)(9, 87)(10, 88)(11, 83)(12, 62)(13, 85)(14, 82)(15, 86)(16, 63)(17, 90)(18, 89)(19, 65)(20, 66)(21, 67)(22, 80)(23, 79)(24, 76)(25, 81)(26, 68)(27, 78)(28, 75)(29, 71)(30, 72)(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 ), ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E22.339
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 12^5, 60 ]

E22.347 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^3, (Y3^-1, Y1^-1), (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y3^-2 * Y2 * Y3^-1 * Y1^-1 * Y3^-2, (Y1 * Y3 * Y2^-1)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 6, 36, 9, 39)(4, 34, 8, 38, 14, 44)(7, 37, 10, 40, 16, 46)(11, 41, 15, 45, 20, 50)(12, 42, 17, 47, 21, 51)(13, 43, 19, 49, 26, 56)(18, 48, 22, 52, 28, 58)(23, 53, 27, 57, 30, 60)(24, 54, 29, 59, 25, 55)(61, 91, 63, 93, 65, 95, 69, 99, 62, 92, 66, 96)(64, 94, 71, 101, 74, 104, 80, 110, 68, 98, 75, 105)(67, 97, 72, 102, 76, 106, 81, 111, 70, 100, 77, 107)(73, 103, 83, 113, 86, 116, 90, 120, 79, 109, 87, 117)(78, 108, 84, 114, 88, 118, 85, 115, 82, 112, 89, 119)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 75)(7, 61)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 87)(16, 65)(17, 66)(18, 67)(19, 84)(20, 90)(21, 69)(22, 70)(23, 82)(24, 72)(25, 81)(26, 89)(27, 88)(28, 76)(29, 77)(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) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.357
Graph:: bipartite
	v = 15 e = 60 f = 3
	degree seq :: [ 6^10, 12^5 ]

E22.348 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^3, (Y2^-1, Y3^-1), (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-2, Y3^5 * Y1 * Y2, (Y1 * Y2)^6, (Y2^-1 * Y3)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 6, 36)(4, 34, 9, 39, 14, 44)(7, 37, 10, 40, 16, 46)(11, 41, 19, 49, 15, 45)(12, 42, 20, 50, 17, 47)(13, 43, 21, 51, 26, 56)(18, 48, 22, 52, 28, 58)(23, 53, 30, 60, 27, 57)(24, 54, 25, 55, 29, 59)(61, 91, 63, 93, 62, 92, 68, 98, 65, 95, 66, 96)(64, 94, 71, 101, 69, 99, 79, 109, 74, 104, 75, 105)(67, 97, 72, 102, 70, 100, 80, 110, 76, 106, 77, 107)(73, 103, 83, 113, 81, 111, 90, 120, 86, 116, 87, 117)(78, 108, 84, 114, 82, 112, 85, 115, 88, 118, 89, 119)
	L = (1, 64)(2, 69)(3, 71)(4, 73)(5, 74)(6, 75)(7, 61)(8, 79)(9, 81)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 87)(16, 65)(17, 66)(18, 67)(19, 90)(20, 68)(21, 89)(22, 70)(23, 88)(24, 72)(25, 80)(26, 84)(27, 82)(28, 76)(29, 77)(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) :: { ( 30, 60, 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.356
Graph:: bipartite
	v = 15 e = 60 f = 3
	degree seq :: [ 6^10, 12^5 ]

E22.349 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^3, (R * Y2)^2, (Y3^-1, Y1^-1), (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y3^-5 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 6, 36)(4, 34, 9, 39, 14, 44)(7, 37, 10, 40, 16, 46)(11, 41, 19, 49, 15, 45)(12, 42, 20, 50, 17, 47)(13, 43, 21, 51, 25, 55)(18, 48, 22, 52, 27, 57)(23, 53, 29, 59, 26, 56)(24, 54, 30, 60, 28, 58)(61, 91, 63, 93, 62, 92, 68, 98, 65, 95, 66, 96)(64, 94, 71, 101, 69, 99, 79, 109, 74, 104, 75, 105)(67, 97, 72, 102, 70, 100, 80, 110, 76, 106, 77, 107)(73, 103, 83, 113, 81, 111, 89, 119, 85, 115, 86, 116)(78, 108, 84, 114, 82, 112, 90, 120, 87, 117, 88, 118)
	L = (1, 64)(2, 69)(3, 71)(4, 73)(5, 74)(6, 75)(7, 61)(8, 79)(9, 81)(10, 62)(11, 83)(12, 63)(13, 84)(14, 85)(15, 86)(16, 65)(17, 66)(18, 67)(19, 89)(20, 68)(21, 90)(22, 70)(23, 82)(24, 72)(25, 88)(26, 78)(27, 76)(28, 77)(29, 87)(30, 80)(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, 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.358
Graph:: bipartite
	v = 15 e = 60 f = 3
	degree seq :: [ 6^10, 12^5 ]

E22.350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^3, (R * Y2)^2, (Y2^-1, Y1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2^2 * Y1 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 9, 39, 5, 35)(3, 33, 8, 38, 17, 47, 12, 42, 20, 50, 13, 43)(6, 36, 10, 40, 18, 48, 14, 44, 21, 51, 15, 45)(11, 41, 19, 49, 29, 59, 24, 54, 28, 58, 25, 55)(16, 46, 22, 52, 23, 53, 26, 56, 30, 60, 27, 57)(61, 91, 63, 93, 71, 101, 83, 113, 78, 108, 67, 97, 77, 107, 89, 119, 90, 120, 81, 111, 69, 99, 80, 110, 88, 118, 76, 106, 66, 96)(62, 92, 68, 98, 79, 109, 86, 116, 74, 104, 64, 94, 72, 102, 84, 114, 87, 117, 75, 105, 65, 95, 73, 103, 85, 115, 82, 112, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 67)(6, 74)(7, 65)(8, 80)(9, 62)(10, 81)(11, 84)(12, 63)(13, 77)(14, 66)(15, 78)(16, 86)(17, 73)(18, 75)(19, 88)(20, 68)(21, 70)(22, 90)(23, 87)(24, 71)(25, 89)(26, 76)(27, 83)(28, 79)(29, 85)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.353
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, (R * Y2)^2, Y2 * Y3 * Y2^-1 * Y3, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^-1 * Y2^4 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 9, 39, 5, 35)(3, 33, 8, 38, 17, 47, 12, 42, 20, 50, 13, 43)(6, 36, 10, 40, 18, 48, 14, 44, 21, 51, 15, 45)(11, 41, 19, 49, 28, 58, 24, 54, 30, 60, 25, 55)(16, 46, 22, 52, 29, 59, 26, 56, 23, 53, 27, 57)(61, 91, 63, 93, 71, 101, 83, 113, 81, 111, 69, 99, 80, 110, 90, 120, 89, 119, 78, 108, 67, 97, 77, 107, 88, 118, 76, 106, 66, 96)(62, 92, 68, 98, 79, 109, 87, 117, 75, 105, 65, 95, 73, 103, 85, 115, 86, 116, 74, 104, 64, 94, 72, 102, 84, 114, 82, 112, 70, 100)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 67)(6, 74)(7, 65)(8, 80)(9, 62)(10, 81)(11, 84)(12, 63)(13, 77)(14, 66)(15, 78)(16, 86)(17, 73)(18, 75)(19, 90)(20, 68)(21, 70)(22, 83)(23, 82)(24, 71)(25, 88)(26, 76)(27, 89)(28, 85)(29, 87)(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) :: { ( 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, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.354
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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 * Y1, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y2^2 * Y1 * Y3 * Y2^3, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 25, 55, 21, 51, 10, 40)(5, 35, 8, 38, 16, 46, 26, 56, 22, 52, 12, 42)(9, 39, 17, 47, 24, 54, 28, 58, 30, 60, 20, 50)(13, 43, 18, 48, 27, 57, 29, 59, 19, 49, 23, 53)(61, 91, 63, 93, 69, 99, 79, 109, 82, 112, 71, 101, 81, 111, 90, 120, 87, 117, 76, 106, 66, 96, 75, 105, 84, 114, 73, 103, 65, 95)(62, 92, 67, 97, 77, 107, 83, 113, 72, 102, 64, 94, 70, 100, 80, 110, 89, 119, 86, 116, 74, 104, 85, 115, 88, 118, 78, 108, 68, 98)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 71)(15, 85)(16, 86)(17, 84)(18, 87)(19, 83)(20, 69)(21, 70)(22, 72)(23, 73)(24, 88)(25, 81)(26, 82)(27, 89)(28, 90)(29, 79)(30, 80)(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, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.355
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 12^5, 30^2 ]

E22.353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, (Y2^-1, Y1^-1), Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3, Y1 * Y2 * Y1 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 26, 56, 14, 44, 22, 52, 30, 60, 24, 54, 12, 42, 3, 33, 8, 38, 18, 48, 25, 55, 13, 43, 4, 34, 9, 39, 19, 49, 28, 58, 16, 46, 6, 36, 10, 40, 20, 50, 29, 59, 23, 53, 11, 41, 21, 51, 27, 57, 15, 45, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 68, 98, 70, 100)(64, 94, 71, 101, 74, 104)(65, 95, 72, 102, 76, 106)(67, 97, 78, 108, 80, 110)(69, 99, 81, 111, 82, 112)(73, 103, 83, 113, 86, 116)(75, 105, 84, 114, 88, 118)(77, 107, 85, 115, 89, 119)(79, 109, 87, 117, 90, 120)
	L = (1, 64)(2, 69)(3, 71)(4, 61)(5, 73)(6, 74)(7, 79)(8, 81)(9, 62)(10, 82)(11, 63)(12, 83)(13, 65)(14, 66)(15, 85)(16, 86)(17, 88)(18, 87)(19, 67)(20, 90)(21, 68)(22, 70)(23, 72)(24, 89)(25, 75)(26, 76)(27, 78)(28, 77)(29, 84)(30, 80)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.350
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 6^10, 60 ]

E22.354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (Y1^-1, Y2), Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^2 * Y3 * Y1^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 23, 53, 11, 41, 21, 51, 30, 60, 28, 58, 16, 46, 6, 36, 10, 40, 20, 50, 25, 55, 13, 43, 4, 34, 9, 39, 19, 49, 24, 54, 12, 42, 3, 33, 8, 38, 18, 48, 29, 59, 26, 56, 14, 44, 22, 52, 27, 57, 15, 45, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 68, 98, 70, 100)(64, 94, 71, 101, 74, 104)(65, 95, 72, 102, 76, 106)(67, 97, 78, 108, 80, 110)(69, 99, 81, 111, 82, 112)(73, 103, 83, 113, 86, 116)(75, 105, 84, 114, 88, 118)(77, 107, 89, 119, 85, 115)(79, 109, 90, 120, 87, 117)
	L = (1, 64)(2, 69)(3, 71)(4, 61)(5, 73)(6, 74)(7, 79)(8, 81)(9, 62)(10, 82)(11, 63)(12, 83)(13, 65)(14, 66)(15, 85)(16, 86)(17, 84)(18, 90)(19, 67)(20, 87)(21, 68)(22, 70)(23, 72)(24, 77)(25, 75)(26, 76)(27, 80)(28, 89)(29, 88)(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) :: { ( 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.351
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 6^10, 60 ]

E22.355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y2^-1 * Y3, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y3)^2, Y1^2 * Y3 * Y1^-2 * Y3^-1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2, Y1 * Y3 * Y1^4, Y1^-1 * Y2^-1 * Y1^3 * 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, 31, 2, 32, 8, 38, 19, 49, 18, 48, 7, 37, 12, 42, 23, 53, 28, 58, 17, 47, 6, 36, 11, 41, 22, 52, 29, 59, 25, 55, 13, 43, 24, 54, 30, 60, 26, 56, 14, 44, 3, 33, 9, 39, 20, 50, 27, 57, 15, 45, 4, 34, 10, 40, 21, 51, 16, 46, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 67, 97)(65, 95, 74, 104, 77, 107)(68, 98, 80, 110, 82, 112)(70, 100, 84, 114, 72, 102)(75, 105, 85, 115, 78, 108)(76, 106, 86, 116, 88, 118)(79, 109, 87, 117, 89, 119)(81, 111, 90, 120, 83, 113)
	L = (1, 64)(2, 70)(3, 73)(4, 63)(5, 75)(6, 67)(7, 61)(8, 81)(9, 84)(10, 69)(11, 72)(12, 62)(13, 66)(14, 85)(15, 74)(16, 87)(17, 78)(18, 65)(19, 76)(20, 90)(21, 80)(22, 83)(23, 68)(24, 71)(25, 77)(26, 89)(27, 86)(28, 79)(29, 88)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.352
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 6^10, 60 ]

E22.356 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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), Y2^-1 * Y1^-2 * Y2^-1, (Y2^-1, Y1^-1), (Y2^-1 * Y1^-1)^2, (Y1^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y1^10 * Y3^-1 * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^24 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 27, 57, 16, 46, 26, 56, 21, 51, 14, 44, 25, 55, 19, 49, 28, 58, 22, 52, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 24, 54, 30, 60, 20, 50, 7, 37, 12, 42, 18, 48, 4, 34, 10, 40, 23, 53, 29, 59, 15, 45)(61, 91, 63, 93, 73, 103, 89, 119, 88, 118, 70, 100, 85, 115, 78, 108, 81, 111, 67, 97, 76, 106, 90, 120, 77, 107, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 82, 112, 83, 113, 79, 109, 64, 94, 74, 104, 72, 102, 86, 116, 80, 110, 87, 117, 84, 114, 68, 98, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 85)(10, 87)(11, 88)(12, 62)(13, 72)(14, 71)(15, 81)(16, 63)(17, 89)(18, 68)(19, 90)(20, 65)(21, 66)(22, 67)(23, 76)(24, 82)(25, 84)(26, 69)(27, 75)(28, 80)(29, 86)(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) :: { ( 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, 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 E22.348
Graph:: bipartite
	v = 3 e = 60 f = 15
	degree seq :: [ 30^2, 60 ]

E22.357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y1^-1), (Y2, Y3), Y1 * Y3 * Y1 * Y2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y1^-2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1 * Y3^-2, Y1 * Y2^-4, Y3 * Y2^2 * Y1 * Y2^-1 * Y1, (Y2 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 25, 55, 19, 49, 26, 56, 20, 50, 13, 43, 23, 53, 16, 46, 24, 54, 21, 51, 14, 44, 5, 35)(3, 33, 9, 39, 7, 37, 12, 42, 18, 48, 4, 34, 10, 40, 6, 36, 11, 41, 22, 52, 28, 58, 30, 60, 29, 59, 27, 57, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 83, 113, 82, 112, 68, 98, 67, 97, 76, 106, 88, 118, 77, 107, 72, 102, 84, 114, 90, 120, 85, 115, 78, 108, 81, 111, 89, 119, 79, 109, 64, 94, 74, 104, 87, 117, 86, 116, 70, 100, 65, 95, 75, 105, 80, 110, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 66)(9, 65)(10, 85)(11, 86)(12, 62)(13, 87)(14, 72)(15, 81)(16, 63)(17, 71)(18, 68)(19, 88)(20, 89)(21, 67)(22, 80)(23, 75)(24, 69)(25, 82)(26, 90)(27, 84)(28, 73)(29, 76)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 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, 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 E22.347
Graph:: bipartite
	v = 3 e = 60 f = 15
	degree seq :: [ 30^2, 60 ]

E22.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, Y1^-1), (Y3^-1, Y2^-1), (Y1^-1 * Y2^-1)^2, (Y1^-1, Y3), Y2^-2 * Y1^-2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), Y2 * Y1^-1 * Y2 * Y3 * Y2, Y3^-4 * Y1, Y1 * Y3^-1 * Y1^2 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, (Y2^-1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 14, 44, 24, 54, 19, 49, 27, 57, 22, 52, 17, 47, 26, 56, 16, 46, 25, 55, 21, 51, 13, 43, 5, 35)(3, 33, 9, 39, 6, 36, 11, 41, 18, 48, 4, 34, 10, 40, 23, 53, 29, 59, 30, 60, 28, 58, 20, 50, 7, 37, 12, 42, 15, 45)(61, 91, 63, 93, 73, 103, 72, 102, 85, 115, 80, 110, 86, 116, 90, 120, 82, 112, 83, 113, 79, 109, 64, 94, 74, 104, 71, 101, 62, 92, 69, 99, 65, 95, 75, 105, 81, 111, 67, 97, 76, 106, 88, 118, 77, 107, 89, 119, 87, 117, 70, 100, 84, 114, 78, 108, 68, 98, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 84)(10, 86)(11, 87)(12, 62)(13, 71)(14, 89)(15, 68)(16, 63)(17, 72)(18, 82)(19, 88)(20, 65)(21, 66)(22, 67)(23, 76)(24, 90)(25, 69)(26, 75)(27, 80)(28, 73)(29, 85)(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, 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, 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 E22.349
Graph:: bipartite
	v = 3 e = 60 f = 15
	degree seq :: [ 30^2, 60 ]

E22.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, (Y2^-1, Y1), (Y1^-1, Y3^-1), (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y3^-2 * Y1, Y3^2 * Y2^3, Y1 * Y3^-2 * Y2^2, Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y3^10, 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 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 16, 46, 25, 55)(13, 43, 24, 54, 29, 59)(15, 45, 18, 48, 26, 56)(21, 51, 27, 57, 23, 53)(22, 52, 28, 58, 30, 60)(61, 91, 63, 93, 72, 102, 83, 113, 79, 109, 65, 95, 74, 104, 85, 115, 87, 117, 70, 100, 62, 92, 68, 98, 76, 106, 81, 111, 66, 96)(64, 94, 73, 103, 82, 112, 67, 97, 75, 105, 77, 107, 89, 119, 90, 120, 80, 110, 86, 116, 69, 99, 84, 114, 88, 118, 71, 101, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 84)(9, 85)(10, 86)(11, 62)(12, 82)(13, 81)(14, 89)(15, 63)(16, 88)(17, 72)(18, 68)(19, 75)(20, 65)(21, 71)(22, 66)(23, 67)(24, 87)(25, 90)(26, 74)(27, 80)(28, 70)(29, 83)(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, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.362
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, (R * Y2)^2, (Y2^-1, Y3), (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (Y3, Y1^-1), Y2^3 * Y3^2, Y2 * Y1^-1 * Y2 * Y3^-2, Y3^10 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 24, 54, 16, 46)(13, 43, 25, 55, 29, 59)(15, 45, 26, 56, 18, 48)(21, 51, 23, 53, 28, 58)(22, 52, 27, 57, 30, 60)(61, 91, 63, 93, 72, 102, 83, 113, 70, 100, 62, 92, 68, 98, 84, 114, 88, 118, 79, 109, 65, 95, 74, 104, 76, 106, 81, 111, 66, 96)(64, 94, 73, 103, 82, 112, 67, 97, 75, 105, 69, 99, 85, 115, 87, 117, 71, 101, 86, 116, 77, 107, 89, 119, 90, 120, 80, 110, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 85)(9, 72)(10, 75)(11, 62)(12, 82)(13, 81)(14, 89)(15, 63)(16, 90)(17, 84)(18, 74)(19, 86)(20, 65)(21, 80)(22, 66)(23, 67)(24, 87)(25, 83)(26, 68)(27, 70)(28, 71)(29, 88)(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, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.364
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 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, (Y2^-1, Y1), (R * Y2)^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y1, Y2^2 * Y1 * Y3^-2, Y3^-1 * Y2^-1 * Y3^-3, Y2^5 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2, (Y1^-1 * Y3^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 16, 46, 25, 55)(13, 43, 24, 54, 30, 60)(15, 45, 18, 48, 26, 56)(21, 51, 27, 57, 23, 53)(22, 52, 28, 58, 29, 59)(61, 91, 63, 93, 72, 102, 87, 117, 70, 100, 62, 92, 68, 98, 76, 106, 83, 113, 79, 109, 65, 95, 74, 104, 85, 115, 81, 111, 66, 96)(64, 94, 73, 103, 89, 119, 80, 110, 86, 116, 69, 99, 84, 114, 82, 112, 67, 97, 75, 105, 77, 107, 90, 120, 88, 118, 71, 101, 78, 108)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 84)(9, 85)(10, 86)(11, 62)(12, 89)(13, 83)(14, 90)(15, 63)(16, 82)(17, 72)(18, 68)(19, 75)(20, 65)(21, 71)(22, 66)(23, 67)(24, 81)(25, 88)(26, 74)(27, 80)(28, 70)(29, 79)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.363
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y3 * Y1^-1, (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, Y2^-5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 9, 39, 5, 35)(3, 33, 8, 38, 17, 47, 12, 42, 20, 50, 13, 43)(6, 36, 10, 40, 18, 48, 14, 44, 21, 51, 15, 45)(11, 41, 19, 49, 27, 57, 24, 54, 29, 59, 25, 55)(16, 46, 22, 52, 28, 58, 26, 56, 30, 60, 23, 53)(61, 91, 63, 93, 71, 101, 83, 113, 75, 105, 65, 95, 73, 103, 85, 115, 90, 120, 81, 111, 69, 99, 80, 110, 89, 119, 86, 116, 74, 104, 64, 94, 72, 102, 84, 114, 88, 118, 78, 108, 67, 97, 77, 107, 87, 117, 82, 112, 70, 100, 62, 92, 68, 98, 79, 109, 76, 106, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 67)(6, 74)(7, 65)(8, 80)(9, 62)(10, 81)(11, 84)(12, 63)(13, 77)(14, 66)(15, 78)(16, 86)(17, 73)(18, 75)(19, 89)(20, 68)(21, 70)(22, 90)(23, 88)(24, 71)(25, 87)(26, 76)(27, 85)(28, 83)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.359
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 12^5, 60 ]

E22.363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^-3, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^-4 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 4, 34, 9, 39, 5, 35)(3, 33, 8, 38, 17, 47, 12, 42, 20, 50, 13, 43)(6, 36, 10, 40, 18, 48, 14, 44, 21, 51, 15, 45)(11, 41, 19, 49, 27, 57, 23, 53, 29, 59, 24, 54)(16, 46, 22, 52, 28, 58, 25, 55, 30, 60, 26, 56)(61, 91, 63, 93, 71, 101, 82, 112, 70, 100, 62, 92, 68, 98, 79, 109, 88, 118, 78, 108, 67, 97, 77, 107, 87, 117, 85, 115, 74, 104, 64, 94, 72, 102, 83, 113, 90, 120, 81, 111, 69, 99, 80, 110, 89, 119, 86, 116, 75, 105, 65, 95, 73, 103, 84, 114, 76, 106, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 61)(5, 67)(6, 74)(7, 65)(8, 80)(9, 62)(10, 81)(11, 83)(12, 63)(13, 77)(14, 66)(15, 78)(16, 85)(17, 73)(18, 75)(19, 89)(20, 68)(21, 70)(22, 90)(23, 71)(24, 87)(25, 76)(26, 88)(27, 84)(28, 86)(29, 79)(30, 82)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.361
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 12^5, 60 ]

E22.364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^5 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 14, 44, 11, 41, 4, 34)(3, 33, 7, 37, 15, 45, 23, 53, 20, 50, 10, 40)(5, 35, 8, 38, 16, 46, 24, 54, 21, 51, 12, 42)(9, 39, 17, 47, 25, 55, 29, 59, 27, 57, 19, 49)(13, 43, 18, 48, 26, 56, 30, 60, 28, 58, 22, 52)(61, 91, 63, 93, 69, 99, 78, 108, 68, 98, 62, 92, 67, 97, 77, 107, 86, 116, 76, 106, 66, 96, 75, 105, 85, 115, 90, 120, 84, 114, 74, 104, 83, 113, 89, 119, 88, 118, 81, 111, 71, 101, 80, 110, 87, 117, 82, 112, 72, 102, 64, 94, 70, 100, 79, 109, 73, 103, 65, 95)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 71)(15, 83)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 80)(24, 81)(25, 89)(26, 90)(27, 79)(28, 82)(29, 87)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 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, 6, 30, 6, 30, 6, 30, 6, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.360
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 12^5, 60 ]

E22.365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y1^-1), (Y2^-1, Y1^-1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y1, Y2^2 * Y3^2 * Y1, Y2^5, Y3^-4 * Y1 * Y2, Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, (Y2^-1 * Y3^-1 * Y1)^2, Y3^2 * Y2^-2 * Y1 * Y2^-1, Y3^-30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 14, 44)(4, 34, 9, 39, 17, 47)(6, 36, 10, 40, 19, 49)(7, 37, 11, 41, 20, 50)(12, 42, 23, 53, 28, 58)(13, 43, 22, 52, 27, 57)(15, 45, 24, 54, 29, 59)(16, 46, 21, 51, 26, 56)(18, 48, 25, 55, 30, 60)(61, 91, 63, 93, 72, 102, 81, 111, 66, 96)(62, 92, 68, 98, 83, 113, 86, 116, 70, 100)(64, 94, 73, 103, 80, 110, 89, 119, 78, 108)(65, 95, 74, 104, 88, 118, 76, 106, 79, 109)(67, 97, 75, 105, 85, 115, 69, 99, 82, 112)(71, 101, 84, 114, 90, 120, 77, 107, 87, 117)
	L = (1, 64)(2, 69)(3, 73)(4, 76)(5, 77)(6, 78)(7, 61)(8, 82)(9, 81)(10, 85)(11, 62)(12, 80)(13, 79)(14, 87)(15, 63)(16, 84)(17, 86)(18, 88)(19, 90)(20, 65)(21, 89)(22, 66)(23, 67)(24, 68)(25, 72)(26, 75)(27, 70)(28, 71)(29, 74)(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) :: { ( 60^6 ), ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E22.372
Graph:: simple bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 6^10, 10^6 ]

E22.366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^-2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y1^-1, Y3), Y2 * Y1^2 * Y2 * Y3^-1, Y1^2 * Y3^-3, Y1^5, (Y1^-1 * Y3^-1)^3, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 19, 49, 27, 57, 15, 45)(4, 34, 10, 40, 23, 53, 13, 43, 18, 48)(6, 36, 11, 41, 24, 54, 16, 46, 21, 51)(7, 37, 12, 42, 17, 47, 26, 56, 22, 52)(14, 44, 25, 55, 30, 60, 28, 58, 29, 59)(61, 91, 63, 93, 73, 103, 88, 118, 86, 116, 71, 101, 62, 92, 69, 99, 78, 108, 89, 119, 82, 112, 84, 114, 68, 98, 79, 109, 64, 94, 74, 104, 67, 97, 76, 106, 80, 110, 87, 117, 70, 100, 85, 115, 72, 102, 81, 111, 65, 95, 75, 105, 83, 113, 90, 120, 77, 107, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 83)(9, 85)(10, 86)(11, 87)(12, 62)(13, 67)(14, 66)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 73)(21, 69)(22, 65)(23, 82)(24, 75)(25, 71)(26, 80)(27, 88)(28, 76)(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) :: { ( 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, 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, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.371
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 10^6, 60 ]

E22.367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (Y1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-2 * Y3^3, Y1^5, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 22, 52, 28, 58, 14, 44)(4, 34, 10, 40, 23, 53, 21, 51, 16, 46)(6, 36, 11, 41, 24, 54, 29, 59, 18, 48)(7, 37, 12, 42, 15, 45, 26, 56, 19, 49)(13, 43, 25, 55, 30, 60, 20, 50, 27, 57)(61, 91, 63, 93, 64, 94, 73, 103, 75, 105, 84, 114, 68, 98, 82, 112, 83, 113, 90, 120, 79, 109, 78, 108, 65, 95, 74, 104, 76, 106, 87, 117, 72, 102, 71, 101, 62, 92, 69, 99, 70, 100, 85, 115, 86, 116, 89, 119, 77, 107, 88, 118, 81, 111, 80, 110, 67, 97, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 63)(7, 61)(8, 83)(9, 85)(10, 86)(11, 69)(12, 62)(13, 84)(14, 87)(15, 68)(16, 72)(17, 81)(18, 74)(19, 65)(20, 66)(21, 67)(22, 90)(23, 79)(24, 82)(25, 89)(26, 77)(27, 71)(28, 80)(29, 88)(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, 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, 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, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.370
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 10^6, 60 ]

E22.368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y1^-1, Y3^-1), (R * Y1)^2, (Y3^-1, Y2), Y1^-2 * Y3^3, Y3^2 * Y1 * Y2^2, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1^5, Y2^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 5, 35)(3, 33, 9, 39, 26, 56, 19, 49, 15, 45)(4, 34, 10, 40, 13, 43, 25, 55, 18, 48)(6, 36, 11, 41, 16, 46, 27, 57, 21, 51)(7, 37, 12, 42, 17, 47, 23, 53, 22, 52)(14, 44, 24, 54, 28, 58, 30, 60, 29, 59)(61, 91, 63, 93, 73, 103, 88, 118, 72, 102, 87, 117, 80, 110, 79, 109, 64, 94, 74, 104, 82, 112, 71, 101, 62, 92, 69, 99, 85, 115, 90, 120, 77, 107, 81, 111, 65, 95, 75, 105, 70, 100, 84, 114, 67, 97, 76, 106, 68, 98, 86, 116, 78, 108, 89, 119, 83, 113, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 73)(9, 84)(10, 83)(11, 75)(12, 62)(13, 82)(14, 81)(15, 89)(16, 63)(17, 68)(18, 72)(19, 90)(20, 85)(21, 86)(22, 65)(23, 80)(24, 66)(25, 67)(26, 88)(27, 69)(28, 71)(29, 87)(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) :: { ( 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, 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, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.369
Graph:: bipartite
	v = 7 e = 60 f = 11
	degree seq :: [ 10^6, 60 ]

E22.369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-2 * Y3^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y3, Y1), (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3^-1), Y2 * Y3^5, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^2 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (Y1^-1 * Y3^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 20, 50, 28, 58, 16, 46, 27, 57, 29, 59, 14, 44, 3, 33, 9, 39, 22, 52, 19, 49, 7, 37, 12, 42, 4, 34, 10, 40, 23, 53, 18, 48, 6, 36, 11, 41, 24, 54, 30, 60, 15, 45, 26, 56, 13, 43, 25, 55, 17, 47, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 73, 103, 76, 106)(65, 95, 74, 104, 78, 108)(67, 97, 75, 105, 80, 110)(68, 98, 82, 112, 84, 114)(70, 100, 85, 115, 87, 117)(72, 102, 86, 116, 88, 118)(77, 107, 89, 119, 83, 113)(79, 109, 90, 120, 81, 111)
	L = (1, 64)(2, 70)(3, 73)(4, 68)(5, 72)(6, 76)(7, 61)(8, 83)(9, 85)(10, 81)(11, 87)(12, 62)(13, 82)(14, 86)(15, 63)(16, 84)(17, 67)(18, 88)(19, 65)(20, 66)(21, 78)(22, 77)(23, 80)(24, 89)(25, 79)(26, 69)(27, 90)(28, 71)(29, 75)(30, 74)(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, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.368
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 6^10, 60 ]

E22.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1, Y2^-1 * Y3^-5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 10, 40, 19, 49, 22, 52, 23, 53, 24, 54, 11, 41, 12, 42, 3, 33, 8, 38, 13, 43, 20, 50, 25, 55, 30, 60, 28, 58, 29, 59, 16, 46, 17, 47, 6, 36, 9, 39, 18, 48, 21, 51, 26, 56, 27, 57, 14, 44, 15, 45, 4, 34, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 68, 98, 69, 99)(64, 94, 71, 101, 76, 106)(65, 95, 72, 102, 77, 107)(67, 97, 73, 103, 78, 108)(70, 100, 80, 110, 81, 111)(74, 104, 83, 113, 88, 118)(75, 105, 84, 114, 89, 119)(79, 109, 85, 115, 86, 116)(82, 112, 90, 120, 87, 117)
	L = (1, 64)(2, 65)(3, 71)(4, 74)(5, 75)(6, 76)(7, 61)(8, 72)(9, 77)(10, 62)(11, 83)(12, 84)(13, 63)(14, 86)(15, 87)(16, 88)(17, 89)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 79)(24, 82)(25, 73)(26, 78)(27, 81)(28, 85)(29, 90)(30, 80)(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, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.367
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 6^10, 60 ]

E22.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3^-1, Y2), Y1^2 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y1^-1, (Y3, Y1), (Y1^-1, Y2^-1), Y3 * Y2 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3^-2)^2, Y3^25 * Y2^-1, Y3 * Y2 * Y1^28 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 20, 50, 27, 57, 30, 60, 26, 56, 18, 48, 7, 37, 12, 42, 3, 33, 9, 39, 15, 45, 23, 53, 14, 44, 22, 52, 19, 49, 24, 54, 13, 43, 17, 47, 6, 36, 11, 41, 4, 34, 10, 40, 21, 51, 29, 59, 25, 55, 28, 58, 16, 46, 5, 35)(61, 91, 63, 93, 66, 96)(62, 92, 69, 99, 71, 101)(64, 94, 68, 98, 75, 105)(65, 95, 72, 102, 77, 107)(67, 97, 73, 103, 76, 106)(70, 100, 80, 110, 83, 113)(74, 104, 81, 111, 87, 117)(78, 108, 84, 114, 88, 118)(79, 109, 85, 115, 86, 116)(82, 112, 89, 119, 90, 120)
	L = (1, 64)(2, 70)(3, 68)(4, 74)(5, 71)(6, 75)(7, 61)(8, 81)(9, 80)(10, 82)(11, 83)(12, 62)(13, 63)(14, 86)(15, 87)(16, 66)(17, 69)(18, 65)(19, 67)(20, 89)(21, 79)(22, 78)(23, 90)(24, 72)(25, 73)(26, 76)(27, 85)(28, 77)(29, 84)(30, 88)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 60, 10, 60, 10, 60 ), ( 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60, 10, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.366
Graph:: bipartite
	v = 11 e = 60 f = 7
	degree seq :: [ 6^10, 60 ]

E22.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y3, Y1), (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, (Y3^-1, Y2^-1), Y3 * Y2^2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2^2, Y2^2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3^3 * Y2^-3, (Y3^-1 * Y1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 22, 52, 21, 51, 30, 60, 14, 44, 7, 37, 12, 42, 26, 56, 19, 49, 29, 59, 15, 45, 3, 33, 9, 39, 23, 53, 17, 47, 6, 36, 11, 41, 25, 55, 16, 46, 28, 58, 18, 48, 4, 34, 10, 40, 24, 54, 13, 43, 27, 57, 20, 50, 5, 35)(61, 91, 63, 93, 73, 103, 86, 116, 78, 108, 90, 120, 71, 101, 62, 92, 69, 99, 87, 117, 79, 109, 64, 94, 74, 104, 85, 115, 68, 98, 83, 113, 80, 110, 89, 119, 70, 100, 67, 97, 76, 106, 82, 112, 77, 107, 65, 95, 75, 105, 84, 114, 72, 102, 88, 118, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 84)(9, 67)(10, 66)(11, 89)(12, 62)(13, 85)(14, 65)(15, 90)(16, 63)(17, 86)(18, 83)(19, 82)(20, 88)(21, 87)(22, 73)(23, 72)(24, 71)(25, 75)(26, 68)(27, 76)(28, 69)(29, 81)(30, 80)(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, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.365
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 30, 30})
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 * Y2, Y2 * Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^15, Y3^15, Y2^8 * Y3^-7, (Y3 * Y2^-1)^30 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 6, 36)(4, 34, 5, 35)(7, 37, 8, 38)(9, 39, 10, 40)(11, 41, 12, 42)(13, 43, 14, 44)(15, 45, 16, 46)(17, 47, 18, 48)(19, 49, 20, 50)(21, 51, 22, 52)(23, 53, 24, 54)(25, 55, 26, 56)(27, 57, 28, 58)(29, 59, 30, 60)(61, 91, 63, 93, 67, 97, 71, 101, 75, 105, 79, 109, 83, 113, 87, 117, 89, 119, 86, 116, 81, 111, 78, 108, 73, 103, 70, 100, 64, 94, 62, 92, 66, 96, 68, 98, 72, 102, 76, 106, 80, 110, 84, 114, 88, 118, 90, 120, 85, 115, 82, 112, 77, 107, 74, 104, 69, 99, 65, 95)
	L = (1, 64)(2, 65)(3, 62)(4, 69)(5, 70)(6, 61)(7, 66)(8, 63)(9, 73)(10, 74)(11, 68)(12, 67)(13, 77)(14, 78)(15, 72)(16, 71)(17, 81)(18, 82)(19, 76)(20, 75)(21, 85)(22, 86)(23, 80)(24, 79)(25, 89)(26, 90)(27, 84)(28, 83)(29, 88)(30, 87)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 60^4 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E22.374
Graph:: bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 4^15, 60 ]

E22.374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 30, 30, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, Y3 * Y1^2 * Y3, (Y3^-1, Y1^-1), (Y3^-1 * Y1^-1)^2, (R * Y2)^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-7 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 19, 49, 27, 57, 23, 53, 14, 44, 3, 33, 9, 39, 18, 48, 22, 52, 30, 60, 25, 55, 16, 46, 4, 34, 10, 40, 7, 37, 12, 42, 21, 51, 29, 59, 24, 54, 13, 43, 17, 47, 6, 36, 11, 41, 20, 50, 28, 58, 26, 56, 15, 45, 5, 35)(61, 91, 63, 93, 64, 94, 73, 103, 75, 105, 83, 113, 85, 115, 89, 119, 88, 118, 79, 109, 82, 112, 72, 102, 71, 101, 62, 92, 69, 99, 70, 100, 77, 107, 65, 95, 74, 104, 76, 106, 84, 114, 86, 116, 87, 117, 90, 120, 81, 111, 80, 110, 68, 98, 78, 108, 67, 97, 66, 96)
	L = (1, 64)(2, 70)(3, 73)(4, 75)(5, 76)(6, 63)(7, 61)(8, 67)(9, 77)(10, 65)(11, 69)(12, 62)(13, 83)(14, 84)(15, 85)(16, 86)(17, 74)(18, 66)(19, 72)(20, 78)(21, 68)(22, 71)(23, 89)(24, 87)(25, 88)(26, 90)(27, 81)(28, 82)(29, 79)(30, 80)(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, 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 E22.373
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.375 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 16})
Quotient :: edge^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, Y2^2 * Y1^-2, Y1^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3^4 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 24, 56, 8, 40, 23, 55, 22, 54, 7, 39)(2, 34, 10, 42, 26, 58, 18, 50, 5, 37, 20, 52, 28, 60, 12, 44)(3, 35, 14, 46, 30, 62, 19, 51, 6, 38, 21, 53, 32, 64, 16, 48)(9, 41, 13, 45, 29, 61, 27, 59, 11, 43, 15, 47, 31, 63, 25, 57)(65, 66, 72, 69)(67, 77, 70, 79)(68, 76, 87, 82)(71, 74, 88, 84)(73, 85, 75, 78)(80, 93, 83, 95)(81, 92, 86, 90)(89, 96, 91, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 119, 115)(103, 110, 120, 117)(106, 121, 116, 123)(108, 109, 114, 111)(113, 128, 118, 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) :: { ( 64^4 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E22.381
Graph:: bipartite
	v = 20 e = 64 f = 2
	degree seq :: [ 4^16, 16^4 ]

E22.376 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 16})
Quotient :: edge^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-2 * Y2^2, Y1^-2 * Y2^-2, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1 * Y3 * Y2^-1, Y1 * Y3^-3 * Y1 * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 24, 56, 8, 40, 23, 55, 22, 54, 7, 39)(2, 34, 10, 42, 26, 58, 18, 50, 5, 37, 20, 52, 28, 60, 12, 44)(3, 35, 14, 46, 30, 62, 19, 51, 6, 38, 21, 53, 32, 64, 16, 48)(9, 41, 25, 57, 31, 63, 15, 47, 11, 43, 27, 59, 29, 61, 13, 45)(65, 66, 72, 69)(67, 77, 70, 79)(68, 76, 87, 82)(71, 74, 88, 84)(73, 83, 75, 80)(78, 93, 85, 95)(81, 92, 86, 90)(89, 94, 91, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 119, 115)(103, 110, 120, 117)(106, 109, 116, 111)(108, 121, 114, 123)(113, 128, 118, 126)(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) :: { ( 64^4 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E22.382
Graph:: bipartite
	v = 20 e = 64 f = 2
	degree seq :: [ 4^16, 16^4 ]

E22.377 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 16})
Quotient :: edge^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y2^4, Y2^-2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y2 * Y3^7 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 21, 53, 29, 61, 28, 60, 20, 52, 12, 44, 8, 40, 9, 41, 17, 49, 25, 57, 32, 64, 24, 56, 16, 48, 7, 39)(2, 34, 6, 38, 15, 47, 23, 55, 31, 63, 30, 62, 22, 54, 14, 46, 5, 37, 3, 35, 11, 43, 19, 51, 27, 59, 26, 58, 18, 50, 10, 42)(65, 66, 72, 69)(67, 71, 70, 76)(68, 74, 73, 78)(75, 80, 79, 84)(77, 82, 81, 86)(83, 88, 87, 92)(85, 90, 89, 94)(91, 96, 95, 93)(97, 99, 104, 102)(98, 100, 101, 105)(103, 107, 108, 111)(106, 109, 110, 113)(112, 115, 116, 119)(114, 117, 118, 121)(120, 123, 124, 127)(122, 125, 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) :: { ( 32^4 ), ( 32^32 ) }
Outer automorphisms :: reflexible
Dual of E22.379
Graph:: bipartite
	v = 18 e = 64 f = 4
	degree seq :: [ 4^16, 32^2 ]

E22.378 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 8, 16})
Quotient :: edge^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^7, Y1^-1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 21, 53, 29, 61, 27, 59, 19, 51, 11, 43, 8, 40, 9, 41, 17, 49, 25, 57, 32, 64, 24, 56, 16, 48, 7, 39)(2, 34, 3, 35, 12, 44, 20, 52, 28, 60, 30, 62, 22, 54, 14, 46, 5, 37, 6, 38, 15, 47, 23, 55, 31, 63, 26, 58, 18, 50, 10, 42)(65, 66, 72, 69)(67, 75, 70, 71)(68, 74, 73, 78)(76, 83, 79, 80)(77, 82, 81, 86)(84, 91, 87, 88)(85, 90, 89, 94)(92, 93, 95, 96)(97, 99, 104, 102)(98, 105, 101, 100)(103, 108, 107, 111)(106, 113, 110, 109)(112, 116, 115, 119)(114, 121, 118, 117)(120, 124, 123, 127)(122, 128, 126, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 32^4 ), ( 32^32 ) }
Outer automorphisms :: reflexible
Dual of E22.380
Graph:: bipartite
	v = 18 e = 64 f = 4
	degree seq :: [ 4^16, 32^2 ]

E22.379 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 16})
Quotient :: loop^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^2 * Y1, Y2^2 * Y1^-2, Y1^4, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3^4 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 24, 56, 88, 120, 8, 40, 72, 104, 23, 55, 87, 119, 22, 54, 86, 118, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 26, 58, 90, 122, 18, 50, 82, 114, 5, 37, 69, 101, 20, 52, 84, 116, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 30, 62, 94, 126, 19, 51, 83, 115, 6, 38, 70, 102, 21, 53, 85, 117, 32, 64, 96, 128, 16, 48, 80, 112)(9, 41, 73, 105, 13, 45, 77, 109, 29, 61, 93, 125, 27, 59, 91, 123, 11, 43, 75, 107, 15, 47, 79, 111, 31, 63, 95, 127, 25, 57, 89, 121)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 47)(7, 42)(8, 37)(9, 53)(10, 56)(11, 46)(12, 55)(13, 38)(14, 41)(15, 35)(16, 61)(17, 60)(18, 36)(19, 63)(20, 39)(21, 43)(22, 58)(23, 50)(24, 52)(25, 64)(26, 49)(27, 62)(28, 54)(29, 51)(30, 57)(31, 48)(32, 59)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 121)(75, 98)(76, 109)(77, 114)(78, 120)(79, 108)(80, 119)(81, 128)(82, 111)(83, 100)(84, 123)(85, 103)(86, 126)(87, 115)(88, 117)(89, 116)(90, 127)(91, 106)(92, 125)(93, 122)(94, 113)(95, 124)(96, 118)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.377
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 18
	degree seq :: [ 32^4 ]

E22.380 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 16})
Quotient :: loop^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-2 * Y2^2, Y1^-2 * Y2^-2, (R * Y3)^2, Y1^4, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1 * Y3 * Y2^-1, Y1 * Y3^-3 * Y1 * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 24, 56, 88, 120, 8, 40, 72, 104, 23, 55, 87, 119, 22, 54, 86, 118, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 26, 58, 90, 122, 18, 50, 82, 114, 5, 37, 69, 101, 20, 52, 84, 116, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 30, 62, 94, 126, 19, 51, 83, 115, 6, 38, 70, 102, 21, 53, 85, 117, 32, 64, 96, 128, 16, 48, 80, 112)(9, 41, 73, 105, 25, 57, 89, 121, 31, 63, 95, 127, 15, 47, 79, 111, 11, 43, 75, 107, 27, 59, 91, 123, 29, 61, 93, 125, 13, 45, 77, 109)
	L = (1, 34)(2, 40)(3, 45)(4, 44)(5, 33)(6, 47)(7, 42)(8, 37)(9, 51)(10, 56)(11, 48)(12, 55)(13, 38)(14, 61)(15, 35)(16, 41)(17, 60)(18, 36)(19, 43)(20, 39)(21, 63)(22, 58)(23, 50)(24, 52)(25, 62)(26, 49)(27, 64)(28, 54)(29, 53)(30, 59)(31, 46)(32, 57)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 110)(72, 102)(73, 101)(74, 109)(75, 98)(76, 121)(77, 116)(78, 120)(79, 106)(80, 119)(81, 128)(82, 123)(83, 100)(84, 111)(85, 103)(86, 126)(87, 115)(88, 117)(89, 114)(90, 125)(91, 108)(92, 127)(93, 124)(94, 113)(95, 122)(96, 118)
	local type(s) :: { ( 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32, 4, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.378
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 64 f = 18
	degree seq :: [ 32^4 ]

E22.381 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 16})
Quotient :: loop^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y1 * Y2 * Y3^-1, Y2^4, Y2^-2 * Y1^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y2 * Y3^7 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 21, 53, 85, 117, 29, 61, 93, 125, 28, 60, 92, 124, 20, 52, 84, 116, 12, 44, 76, 108, 8, 40, 72, 104, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 32, 64, 96, 128, 24, 56, 88, 120, 16, 48, 80, 112, 7, 39, 71, 103)(2, 34, 66, 98, 6, 38, 70, 102, 15, 47, 79, 111, 23, 55, 87, 119, 31, 63, 95, 127, 30, 62, 94, 126, 22, 54, 86, 118, 14, 46, 78, 110, 5, 37, 69, 101, 3, 35, 67, 99, 11, 43, 75, 107, 19, 51, 83, 115, 27, 59, 91, 123, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)
	L = (1, 34)(2, 40)(3, 39)(4, 42)(5, 33)(6, 44)(7, 38)(8, 37)(9, 46)(10, 41)(11, 48)(12, 35)(13, 50)(14, 36)(15, 52)(16, 47)(17, 54)(18, 49)(19, 56)(20, 43)(21, 58)(22, 45)(23, 60)(24, 55)(25, 62)(26, 57)(27, 64)(28, 51)(29, 59)(30, 53)(31, 61)(32, 63)(65, 99)(66, 100)(67, 104)(68, 101)(69, 105)(70, 97)(71, 107)(72, 102)(73, 98)(74, 109)(75, 108)(76, 111)(77, 110)(78, 113)(79, 103)(80, 115)(81, 106)(82, 117)(83, 116)(84, 119)(85, 118)(86, 121)(87, 112)(88, 123)(89, 114)(90, 125)(91, 124)(92, 127)(93, 126)(94, 128)(95, 120)(96, 122)
	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, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.375
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 64 f = 20
	degree seq :: [ 64^2 ]

E22.382 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 8, 16})
Quotient :: loop^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = QD64 (small group id <64, 53>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^7, Y1^-1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 21, 53, 85, 117, 29, 61, 93, 125, 27, 59, 91, 123, 19, 51, 83, 115, 11, 43, 75, 107, 8, 40, 72, 104, 9, 41, 73, 105, 17, 49, 81, 113, 25, 57, 89, 121, 32, 64, 96, 128, 24, 56, 88, 120, 16, 48, 80, 112, 7, 39, 71, 103)(2, 34, 66, 98, 3, 35, 67, 99, 12, 44, 76, 108, 20, 52, 84, 116, 28, 60, 92, 124, 30, 62, 94, 126, 22, 54, 86, 118, 14, 46, 78, 110, 5, 37, 69, 101, 6, 38, 70, 102, 15, 47, 79, 111, 23, 55, 87, 119, 31, 63, 95, 127, 26, 58, 90, 122, 18, 50, 82, 114, 10, 42, 74, 106)
	L = (1, 34)(2, 40)(3, 43)(4, 42)(5, 33)(6, 39)(7, 35)(8, 37)(9, 46)(10, 41)(11, 38)(12, 51)(13, 50)(14, 36)(15, 48)(16, 44)(17, 54)(18, 49)(19, 47)(20, 59)(21, 58)(22, 45)(23, 56)(24, 52)(25, 62)(26, 57)(27, 55)(28, 61)(29, 63)(30, 53)(31, 64)(32, 60)(65, 99)(66, 105)(67, 104)(68, 98)(69, 100)(70, 97)(71, 108)(72, 102)(73, 101)(74, 113)(75, 111)(76, 107)(77, 106)(78, 109)(79, 103)(80, 116)(81, 110)(82, 121)(83, 119)(84, 115)(85, 114)(86, 117)(87, 112)(88, 124)(89, 118)(90, 128)(91, 127)(92, 123)(93, 122)(94, 125)(95, 120)(96, 126)
	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, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.376
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 64 f = 20
	degree seq :: [ 64^2 ]

E22.383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y2)^2, Y2^2 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-2 * Y2 * Y3^-1 * Y2^2 * Y3^-1, (Y3 * Y2^-1)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 14, 46)(4, 36, 12, 44, 22, 54, 16, 48)(6, 38, 9, 41, 23, 55, 18, 50)(7, 39, 10, 42, 24, 56, 19, 51)(13, 45, 28, 60, 20, 52, 25, 57)(15, 47, 27, 59, 32, 64, 30, 62)(17, 49, 26, 58, 29, 61, 31, 63)(65, 97, 67, 99, 77, 109, 87, 119, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 89, 121, 78, 110, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 71, 103, 79, 111, 93, 125, 86, 118, 88, 120, 96, 128, 81, 113)(74, 106, 76, 108, 90, 122, 94, 126, 83, 115, 80, 112, 95, 127, 91, 123)
	L = (1, 68)(2, 74)(3, 71)(4, 70)(5, 83)(6, 81)(7, 65)(8, 86)(9, 76)(10, 75)(11, 91)(12, 66)(13, 79)(14, 94)(15, 67)(16, 69)(17, 84)(18, 80)(19, 78)(20, 96)(21, 88)(22, 87)(23, 93)(24, 72)(25, 90)(26, 73)(27, 92)(28, 95)(29, 77)(30, 89)(31, 82)(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, 32, 8, 32, 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.388
Graph:: bipartite
	v = 12 e = 64 f = 10
	degree seq :: [ 8^8, 16^4 ]

E22.384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y3 * Y1 * Y3 * Y1^-1, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y3, Y1^-2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 12, 44, 22, 54, 16, 48)(6, 38, 9, 41, 23, 55, 17, 49)(7, 39, 10, 42, 24, 56, 18, 50)(13, 45, 27, 59, 19, 51, 25, 57)(14, 46, 28, 60, 32, 64, 30, 62)(20, 52, 26, 58, 29, 61, 31, 63)(65, 97, 67, 99, 77, 109, 87, 119, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 69, 101, 81, 113, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 88, 120, 86, 118, 96, 128, 84, 116, 71, 103)(74, 106, 90, 122, 94, 126, 80, 112, 82, 114, 95, 127, 92, 124, 76, 108)
	L = (1, 68)(2, 74)(3, 78)(4, 67)(5, 82)(6, 71)(7, 65)(8, 86)(9, 90)(10, 73)(11, 76)(12, 66)(13, 93)(14, 77)(15, 80)(16, 69)(17, 95)(18, 81)(19, 84)(20, 70)(21, 96)(22, 85)(23, 88)(24, 72)(25, 94)(26, 89)(27, 92)(28, 75)(29, 87)(30, 79)(31, 91)(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, 32, 8, 32, 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.387
Graph:: bipartite
	v = 12 e = 64 f = 10
	degree seq :: [ 8^8, 16^4 ]

E22.385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2 * Y1^-1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y2)^2, Y1^4, Y1^-2 * Y2 * Y3^-2, Y2 * Y1 * Y3 * Y1 * Y3^-1, Y1^2 * Y2^-1 * Y3^2, Y2 * Y3 * Y2 * Y3 * Y2, Y1^-1 * Y2^-4 * Y1^-1, (Y2^-1 * Y3)^16 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 17, 49, 15, 47)(4, 36, 12, 44, 16, 48, 18, 50)(6, 38, 9, 41, 24, 56, 20, 52)(7, 39, 10, 42, 19, 51, 21, 53)(13, 45, 27, 59, 22, 54, 25, 57)(14, 46, 28, 60, 29, 61, 30, 62)(23, 55, 26, 58, 31, 63, 32, 64)(65, 97, 67, 99, 77, 109, 88, 120, 72, 104, 81, 113, 86, 118, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 69, 101, 84, 116, 91, 123, 75, 107)(68, 100, 78, 110, 87, 119, 71, 103, 80, 112, 93, 125, 95, 127, 83, 115)(74, 106, 90, 122, 92, 124, 76, 108, 85, 117, 96, 128, 94, 126, 82, 114)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 83)(7, 65)(8, 80)(9, 90)(10, 84)(11, 82)(12, 66)(13, 87)(14, 86)(15, 76)(16, 67)(17, 93)(18, 69)(19, 72)(20, 96)(21, 73)(22, 95)(23, 70)(24, 71)(25, 92)(26, 91)(27, 94)(28, 75)(29, 77)(30, 79)(31, 88)(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, 32, 8, 32, 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.390
Graph:: bipartite
	v = 12 e = 64 f = 10
	degree seq :: [ 8^8, 16^4 ]

E22.386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, (R * Y2^-1)^2, (Y3, Y2), (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y1^4, Y3^-2 * Y2^3, Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^4 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 24, 56, 15, 47)(4, 36, 12, 44, 23, 55, 18, 50)(6, 38, 9, 41, 17, 49, 20, 52)(7, 39, 10, 42, 14, 46, 21, 53)(13, 45, 28, 60, 22, 54, 25, 57)(16, 48, 27, 59, 29, 61, 30, 62)(19, 51, 26, 58, 31, 63, 32, 64)(65, 97, 67, 99, 77, 109, 81, 113, 72, 104, 88, 120, 86, 118, 70, 102)(66, 98, 73, 105, 89, 121, 79, 111, 69, 101, 84, 116, 92, 124, 75, 107)(68, 100, 78, 110, 93, 125, 95, 127, 87, 119, 71, 103, 80, 112, 83, 115)(74, 106, 82, 114, 96, 128, 94, 126, 85, 117, 76, 108, 90, 122, 91, 123)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 83)(7, 65)(8, 87)(9, 82)(10, 79)(11, 91)(12, 66)(13, 93)(14, 72)(15, 94)(16, 67)(17, 95)(18, 69)(19, 77)(20, 76)(21, 75)(22, 80)(23, 70)(24, 71)(25, 96)(26, 73)(27, 89)(28, 90)(29, 88)(30, 92)(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, 32, 8, 32, 8, 32, 8, 32 ), ( 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32, 8, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.389
Graph:: bipartite
	v = 12 e = 64 f = 10
	degree seq :: [ 8^8, 16^4 ]

E22.387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-3 * Y2^2 * Y1^-5, Y1^-3 * Y2^2 * Y1^3 * Y2^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 13, 45, 21, 53, 29, 61, 26, 58, 18, 50, 10, 42, 16, 48, 24, 56, 32, 64, 27, 59, 19, 51, 11, 43, 4, 36)(3, 35, 9, 41, 17, 49, 25, 57, 31, 63, 23, 55, 15, 47, 8, 40, 5, 37, 12, 44, 20, 52, 28, 60, 30, 62, 22, 54, 14, 46, 7, 39)(65, 97, 67, 99, 74, 106, 69, 101)(66, 98, 71, 103, 80, 112, 72, 104)(68, 100, 73, 105, 82, 114, 76, 108)(70, 102, 78, 110, 88, 120, 79, 111)(75, 107, 81, 113, 90, 122, 84, 116)(77, 109, 86, 118, 96, 128, 87, 119)(83, 115, 89, 121, 93, 125, 92, 124)(85, 117, 94, 126, 91, 123, 95, 127)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 76)(6, 77)(7, 67)(8, 69)(9, 81)(10, 80)(11, 68)(12, 84)(13, 85)(14, 71)(15, 72)(16, 88)(17, 89)(18, 74)(19, 75)(20, 92)(21, 93)(22, 78)(23, 79)(24, 96)(25, 95)(26, 82)(27, 83)(28, 94)(29, 90)(30, 86)(31, 87)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.384
Graph:: bipartite
	v = 10 e = 64 f = 12
	degree seq :: [ 8^8, 32^2 ]

E22.388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, (Y1^-1, Y3), Y1^-3 * Y3 * Y1^-2, Y3^-1 * Y2 * Y1 * Y2 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 23, 55, 18, 50, 4, 36, 10, 42, 25, 57, 14, 46, 28, 60, 17, 49, 7, 39, 12, 44, 27, 59, 20, 52, 5, 37)(3, 35, 13, 45, 31, 63, 19, 51, 29, 61, 15, 47, 26, 58, 11, 43, 6, 38, 21, 53, 30, 62, 16, 48, 32, 64, 22, 54, 24, 56, 9, 41)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 92, 124, 75, 107)(68, 100, 80, 112, 91, 123, 83, 115)(69, 101, 77, 109, 89, 121, 85, 117)(71, 103, 79, 111, 87, 119, 86, 118)(72, 104, 88, 120, 81, 113, 90, 122)(74, 106, 94, 126, 84, 116, 95, 127)(76, 108, 93, 125, 82, 114, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 82)(6, 86)(7, 65)(8, 89)(9, 93)(10, 71)(11, 96)(12, 66)(13, 90)(14, 91)(15, 94)(16, 67)(17, 69)(18, 92)(19, 70)(20, 87)(21, 88)(22, 95)(23, 78)(24, 83)(25, 76)(26, 80)(27, 72)(28, 84)(29, 85)(30, 73)(31, 75)(32, 77)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 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, 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 E22.383
Graph:: bipartite
	v = 10 e = 64 f = 12
	degree seq :: [ 8^8, 32^2 ]

E22.389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1), Y2^4, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1^-2 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, Y3^2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y2^2 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 7, 39, 12, 44, 25, 57, 22, 54, 32, 64, 14, 46, 26, 58, 17, 49, 29, 61, 18, 50, 4, 36, 10, 42, 5, 37)(3, 35, 13, 45, 28, 60, 16, 48, 31, 63, 21, 53, 24, 56, 11, 43, 6, 38, 20, 52, 30, 62, 19, 51, 27, 59, 15, 47, 23, 55, 9, 41)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 80, 112, 89, 121, 83, 115)(69, 101, 77, 109, 96, 128, 84, 116)(71, 103, 79, 111, 93, 125, 85, 117)(72, 104, 87, 119, 81, 113, 88, 120)(74, 106, 92, 124, 86, 118, 94, 126)(76, 108, 91, 123, 82, 114, 95, 127)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 82)(6, 85)(7, 65)(8, 69)(9, 91)(10, 93)(11, 95)(12, 66)(13, 87)(14, 89)(15, 94)(16, 67)(17, 96)(18, 90)(19, 70)(20, 88)(21, 92)(22, 71)(23, 83)(24, 80)(25, 72)(26, 86)(27, 84)(28, 73)(29, 78)(30, 75)(31, 77)(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, 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, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.386
Graph:: bipartite
	v = 10 e = 64 f = 12
	degree seq :: [ 8^8, 32^2 ]

E22.390 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 8, 16})
Quotient :: dipole
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y1 * Y3^-1 * Y2^2, (Y3, Y1^-1), Y2 * Y3^-1 * Y1 * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y1^2 * Y3^-2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2, Y3^-2 * Y1^-2 * Y3^-1 * Y1^-3, Y1^-1 * Y2 * Y1^3 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 17, 49, 25, 57, 24, 56, 16, 48, 7, 39, 12, 44, 4, 36, 10, 42, 19, 51, 27, 59, 23, 55, 15, 47, 5, 37)(3, 35, 13, 45, 21, 53, 29, 61, 32, 64, 28, 60, 20, 52, 11, 43, 6, 38, 14, 46, 22, 54, 30, 62, 31, 63, 26, 58, 18, 50, 9, 41)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 73, 105, 68, 100, 75, 107)(69, 101, 77, 109, 71, 103, 78, 110)(72, 104, 82, 114, 74, 106, 84, 116)(79, 111, 85, 117, 80, 112, 86, 118)(81, 113, 90, 122, 83, 115, 92, 124)(87, 119, 93, 125, 88, 120, 94, 126)(89, 121, 95, 127, 91, 123, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 77)(7, 65)(8, 83)(9, 70)(10, 81)(11, 67)(12, 66)(13, 86)(14, 85)(15, 71)(16, 69)(17, 91)(18, 75)(19, 89)(20, 73)(21, 94)(22, 93)(23, 80)(24, 79)(25, 87)(26, 84)(27, 88)(28, 82)(29, 95)(30, 96)(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) :: { ( 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, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.385
Graph:: bipartite
	v = 10 e = 64 f = 12
	degree seq :: [ 8^8, 32^2 ]

E22.391 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y3^4 * Y2, Y2^4 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^2 * Y3^-2 * Y1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 16, 48)(12, 44, 19, 51)(13, 45, 20, 52)(14, 46, 21, 53)(15, 47, 22, 54)(17, 49, 23, 55)(18, 50, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 31, 63)(28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 73, 105, 66, 98, 71, 103, 80, 112, 69, 101)(68, 100, 76, 108, 89, 121, 86, 118, 72, 104, 83, 115, 93, 125, 79, 111)(70, 102, 77, 109, 90, 122, 87, 119, 74, 106, 84, 116, 94, 126, 81, 113)(78, 110, 82, 114, 91, 123, 96, 128, 85, 117, 88, 120, 95, 127, 92, 124)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 89)(12, 82)(13, 67)(14, 81)(15, 92)(16, 93)(17, 69)(18, 70)(19, 88)(20, 71)(21, 87)(22, 96)(23, 73)(24, 74)(25, 91)(26, 75)(27, 77)(28, 94)(29, 95)(30, 80)(31, 84)(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) :: { ( 64^4 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E22.401
Graph:: bipartite
	v = 20 e = 64 f = 2
	degree seq :: [ 4^16, 16^4 ]

E22.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^4, Y2^4 * Y1, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 8, 40)(5, 37, 9, 41)(6, 38, 10, 42)(11, 43, 16, 48)(12, 44, 19, 51)(13, 45, 20, 52)(14, 46, 21, 53)(15, 47, 22, 54)(17, 49, 23, 55)(18, 50, 24, 56)(25, 57, 28, 60)(26, 58, 29, 61)(27, 59, 31, 63)(30, 62, 32, 64)(65, 97, 67, 99, 75, 107, 73, 105, 66, 98, 71, 103, 80, 112, 69, 101)(68, 100, 76, 108, 89, 121, 86, 118, 72, 104, 83, 115, 92, 124, 79, 111)(70, 102, 77, 109, 90, 122, 87, 119, 74, 106, 84, 116, 93, 125, 81, 113)(78, 110, 91, 123, 96, 128, 88, 120, 85, 117, 95, 127, 94, 126, 82, 114)
	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, 77)(15, 82)(16, 92)(17, 69)(18, 70)(19, 95)(20, 71)(21, 84)(22, 88)(23, 73)(24, 74)(25, 96)(26, 75)(27, 90)(28, 94)(29, 80)(30, 81)(31, 93)(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) :: { ( 64^4 ), ( 64^16 ) }
Outer automorphisms :: reflexible
Dual of E22.402
Graph:: bipartite
	v = 20 e = 64 f = 2
	degree seq :: [ 4^16, 16^4 ]

E22.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y3^-2, Y1^-1 * Y3^-2 * Y1^-1, (Y3, Y1^-1), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y3^-1, (Y3, Y2), (Y2^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y3 * Y2, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1, Y3 * Y1^-1 * Y2^-2 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 9, 41, 21, 53, 14, 46, 24, 56, 16, 48, 25, 57, 15, 47)(6, 38, 11, 43, 22, 54, 17, 49, 26, 58, 20, 52, 28, 60, 18, 50)(13, 45, 23, 55, 32, 64, 19, 51, 27, 59, 30, 62, 31, 63, 29, 61)(65, 97, 67, 99, 77, 109, 84, 116, 71, 103, 80, 112, 94, 126, 86, 118, 72, 104, 85, 117, 96, 128, 82, 114, 69, 101, 79, 111, 93, 125, 90, 122, 74, 106, 88, 120, 91, 123, 75, 107, 66, 98, 73, 105, 87, 119, 92, 124, 76, 108, 89, 121, 95, 127, 81, 113, 68, 100, 78, 110, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 83)(14, 89)(15, 85)(16, 67)(17, 92)(18, 86)(19, 95)(20, 70)(21, 80)(22, 84)(23, 91)(24, 79)(25, 73)(26, 82)(27, 93)(28, 75)(29, 96)(30, 77)(31, 87)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.400
Graph:: bipartite
	v = 5 e = 64 f = 17
	degree seq :: [ 16^4, 64 ]

E22.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y1^3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y3, Y2), Y3^-1 * Y2^4, Y3 * Y1^-1 * Y2^2 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 9, 41, 21, 53, 14, 46, 24, 56, 16, 48, 25, 57, 15, 47)(6, 38, 11, 43, 22, 54, 17, 49, 26, 58, 20, 52, 28, 60, 18, 50)(13, 45, 23, 55, 32, 64, 29, 61, 31, 63, 19, 51, 27, 59, 30, 62)(65, 97, 67, 99, 77, 109, 81, 113, 68, 100, 78, 110, 93, 125, 92, 124, 76, 108, 89, 121, 91, 123, 75, 107, 66, 98, 73, 105, 87, 119, 90, 122, 74, 106, 88, 120, 95, 127, 82, 114, 69, 101, 79, 111, 94, 126, 86, 118, 72, 104, 85, 117, 96, 128, 84, 116, 71, 103, 80, 112, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 89)(15, 85)(16, 67)(17, 92)(18, 86)(19, 77)(20, 70)(21, 80)(22, 84)(23, 95)(24, 79)(25, 73)(26, 82)(27, 87)(28, 75)(29, 91)(30, 96)(31, 94)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.399
Graph:: bipartite
	v = 5 e = 64 f = 17
	degree seq :: [ 16^4, 64 ]

E22.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y3^-1), Y3 * Y1^-1 * Y3^2, Y1^3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, (Y3^-1 * Y1^-1)^2, (Y3, Y2), Y2 * Y1 * Y2^3, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y3, Y1 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 9, 41, 21, 53, 14, 46, 23, 55, 16, 48, 24, 56, 15, 47)(6, 38, 11, 43, 22, 54, 17, 49, 25, 57, 20, 52, 27, 59, 18, 50)(13, 45, 19, 51, 26, 58, 28, 60, 31, 63, 30, 62, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 82, 114, 69, 101, 79, 111, 93, 125, 91, 123, 76, 108, 88, 120, 96, 128, 84, 116, 71, 103, 80, 112, 94, 126, 89, 121, 74, 106, 87, 119, 95, 127, 81, 113, 68, 100, 78, 110, 92, 124, 86, 118, 72, 104, 85, 117, 90, 122, 75, 107, 66, 98, 73, 105, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 87)(10, 69)(11, 89)(12, 66)(13, 92)(14, 88)(15, 85)(16, 67)(17, 91)(18, 86)(19, 95)(20, 70)(21, 80)(22, 84)(23, 79)(24, 73)(25, 82)(26, 94)(27, 75)(28, 96)(29, 90)(30, 77)(31, 93)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.398
Graph:: bipartite
	v = 5 e = 64 f = 17
	degree seq :: [ 16^4, 64 ]

E22.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y1)^2, Y1^-1 * Y3^3, Y3 * Y1^-3, (R * Y3)^2, (Y3^-1, Y1), (R * Y2)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (Y2^-1, Y1^-1), Y2^3 * Y1^-1 * Y2, (Y2^-1 * Y3)^32 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 7, 39, 12, 44, 5, 37)(3, 35, 9, 41, 21, 53, 14, 46, 24, 56, 16, 48, 25, 57, 15, 47)(6, 38, 11, 43, 22, 54, 17, 49, 26, 58, 20, 52, 27, 59, 18, 50)(13, 45, 23, 55, 30, 62, 28, 60, 32, 64, 29, 61, 31, 63, 19, 51)(65, 97, 67, 99, 77, 109, 75, 107, 66, 98, 73, 105, 87, 119, 86, 118, 72, 104, 85, 117, 94, 126, 81, 113, 68, 100, 78, 110, 92, 124, 90, 122, 74, 106, 88, 120, 96, 128, 84, 116, 71, 103, 80, 112, 93, 125, 91, 123, 76, 108, 89, 121, 95, 127, 82, 114, 69, 101, 79, 111, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 76)(5, 72)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 92)(14, 89)(15, 85)(16, 67)(17, 91)(18, 86)(19, 94)(20, 70)(21, 80)(22, 84)(23, 96)(24, 79)(25, 73)(26, 82)(27, 75)(28, 95)(29, 77)(30, 93)(31, 87)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ), ( 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64, 4, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.397
Graph:: bipartite
	v = 5 e = 64 f = 17
	degree seq :: [ 16^4, 64 ]

E22.397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y3^4 * Y2, Y1^2 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 17, 49, 6, 38, 10, 42, 20, 52, 30, 62, 18, 50, 24, 56, 32, 64, 25, 57, 11, 43, 21, 53, 26, 58, 12, 44, 3, 35, 8, 40, 19, 51, 27, 59, 13, 45, 22, 54, 31, 63, 28, 60, 14, 46, 23, 55, 29, 61, 15, 47, 4, 36, 9, 41, 16, 48, 5, 37)(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, 85, 117)(74, 106, 86, 118)(78, 110, 82, 114)(79, 111, 89, 121)(80, 112, 90, 122)(81, 113, 91, 123)(84, 116, 95, 127)(87, 119, 88, 120)(92, 124, 94, 126)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 80)(8, 85)(9, 87)(10, 66)(11, 82)(12, 89)(13, 67)(14, 77)(15, 92)(16, 93)(17, 69)(18, 70)(19, 90)(20, 71)(21, 88)(22, 72)(23, 86)(24, 74)(25, 94)(26, 96)(27, 76)(28, 91)(29, 95)(30, 81)(31, 83)(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, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.396
Graph:: bipartite
	v = 17 e = 64 f = 5
	degree seq :: [ 4^16, 64 ]

E22.398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1^4, Y3^4 * Y2, Y2 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-2, (Y1^-1 * Y3^-1)^32 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 4, 36, 9, 41, 20, 52, 28, 60, 14, 46, 23, 55, 32, 64, 27, 59, 13, 45, 22, 54, 26, 58, 12, 44, 3, 35, 8, 40, 19, 51, 25, 57, 11, 43, 21, 53, 31, 63, 30, 62, 18, 50, 24, 56, 29, 61, 17, 49, 6, 38, 10, 42, 16, 48, 5, 37)(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, 85, 117)(74, 106, 86, 118)(78, 110, 82, 114)(79, 111, 89, 121)(80, 112, 90, 122)(81, 113, 91, 123)(84, 116, 95, 127)(87, 119, 88, 120)(92, 124, 94, 126)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 84)(8, 85)(9, 87)(10, 66)(11, 82)(12, 89)(13, 67)(14, 77)(15, 92)(16, 71)(17, 69)(18, 70)(19, 95)(20, 96)(21, 88)(22, 72)(23, 86)(24, 74)(25, 94)(26, 83)(27, 76)(28, 91)(29, 80)(30, 81)(31, 93)(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, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.395
Graph:: bipartite
	v = 17 e = 64 f = 5
	degree seq :: [ 4^16, 64 ]

E22.399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1^-1), Y2 * Y1 * Y2 * Y1^-1, Y2 * Y3^-1 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-4 * Y2, Y1^3 * Y2 * Y3^-1 * Y1, Y2 * Y1^-2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 11, 43, 23, 55, 31, 63, 28, 60, 14, 46, 25, 57, 29, 61, 17, 49, 6, 38, 10, 42, 22, 54, 12, 44, 3, 35, 8, 40, 20, 52, 15, 47, 4, 36, 9, 41, 21, 53, 30, 62, 18, 50, 26, 58, 32, 64, 27, 59, 13, 45, 24, 56, 16, 48, 5, 37)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 88, 120)(78, 110, 82, 114)(79, 111, 83, 115)(80, 112, 86, 118)(81, 113, 91, 123)(85, 117, 95, 127)(89, 121, 90, 122)(92, 124, 94, 126)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 87)(9, 89)(10, 66)(11, 82)(12, 83)(13, 67)(14, 77)(15, 92)(16, 84)(17, 69)(18, 70)(19, 94)(20, 95)(21, 93)(22, 71)(23, 90)(24, 72)(25, 88)(26, 74)(27, 76)(28, 91)(29, 80)(30, 81)(31, 96)(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) :: { ( 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.394
Graph:: bipartite
	v = 17 e = 64 f = 5
	degree seq :: [ 4^16, 64 ]

E22.400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^-4 * Y2, Y1^-2 * Y2 * Y3^-1 * Y1^-2, (Y1^-1 * Y3^-1)^32 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 13, 45, 24, 56, 31, 63, 30, 62, 18, 50, 26, 58, 29, 61, 15, 47, 4, 36, 9, 41, 21, 53, 12, 44, 3, 35, 8, 40, 20, 52, 17, 49, 6, 38, 10, 42, 22, 54, 28, 60, 14, 46, 25, 57, 32, 64, 27, 59, 11, 43, 23, 55, 16, 48, 5, 37)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 84, 116)(73, 105, 87, 119)(74, 106, 88, 120)(78, 110, 82, 114)(79, 111, 91, 123)(80, 112, 85, 117)(81, 113, 83, 115)(86, 118, 95, 127)(89, 121, 90, 122)(92, 124, 94, 126)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 85)(8, 87)(9, 89)(10, 66)(11, 82)(12, 91)(13, 67)(14, 77)(15, 92)(16, 93)(17, 69)(18, 70)(19, 76)(20, 80)(21, 96)(22, 71)(23, 90)(24, 72)(25, 88)(26, 74)(27, 94)(28, 83)(29, 86)(30, 81)(31, 84)(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) :: { ( 16, 64, 16, 64 ), ( 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64, 16, 64 ) }
Outer automorphisms :: reflexible
Dual of E22.393
Graph:: bipartite
	v = 17 e = 64 f = 5
	degree seq :: [ 4^16, 64 ]

E22.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1, Y2^3 * Y1^-1, (Y1, Y3^-1), Y2 * Y3^2 * Y1^-1, (R * Y3)^2, Y1 * Y2^-1 * Y3^-2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y3^-1 * Y1^-4, (R * Y2 * Y3^-1)^2, Y1^6 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 19, 51, 18, 50, 7, 39, 12, 44, 23, 55, 31, 63, 25, 57, 13, 45, 3, 35, 9, 41, 20, 52, 29, 61, 26, 58, 14, 46, 24, 56, 32, 64, 28, 60, 17, 49, 6, 38, 11, 43, 22, 54, 30, 62, 27, 59, 15, 47, 4, 36, 10, 42, 21, 53, 16, 48, 5, 37)(65, 97, 67, 99, 75, 107, 66, 98, 73, 105, 86, 118, 72, 104, 84, 116, 94, 126, 83, 115, 93, 125, 91, 123, 82, 114, 90, 122, 79, 111, 71, 103, 78, 110, 68, 100, 76, 108, 88, 120, 74, 106, 87, 119, 96, 128, 85, 117, 95, 127, 92, 124, 80, 112, 89, 121, 81, 113, 69, 101, 77, 109, 70, 102)
	L = (1, 68)(2, 74)(3, 76)(4, 75)(5, 79)(6, 78)(7, 65)(8, 85)(9, 87)(10, 86)(11, 88)(12, 66)(13, 71)(14, 67)(15, 70)(16, 91)(17, 90)(18, 69)(19, 80)(20, 95)(21, 94)(22, 96)(23, 72)(24, 73)(25, 82)(26, 77)(27, 81)(28, 93)(29, 89)(30, 92)(31, 83)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 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, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.391
Graph:: bipartite
	v = 2 e = 64 f = 20
	degree seq :: [ 64^2 ]

E22.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 32, 32})
Quotient :: dipole
Aut^+ = C32 (small group id <32, 1>)
Aut   = D64 (small group id <64, 52>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-3, (Y3^-1 * Y2)^2, (R * Y2)^2, (R * Y3)^2, Y2^-2 * Y3^2, (Y3, Y1), (Y2, Y1^-1), (R * Y1)^2, Y2^-1 * Y1^-1 * Y3^-2 * Y2^-2, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y3, Y3 * Y1^-1 * Y3^10, (Y1^-1 * Y3^-1)^8, Y2^27 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 4, 36, 10, 42, 22, 54, 13, 45, 24, 56, 31, 63, 30, 62, 20, 52, 28, 60, 17, 49, 6, 38, 11, 43, 23, 55, 16, 48, 26, 58, 15, 47, 3, 35, 9, 41, 21, 53, 14, 46, 25, 57, 32, 64, 29, 61, 19, 51, 27, 59, 18, 50, 7, 39, 12, 44, 5, 37)(65, 97, 67, 99, 77, 109, 93, 125, 81, 113, 69, 101, 79, 111, 86, 118, 96, 128, 92, 124, 76, 108, 90, 122, 74, 106, 89, 121, 84, 116, 71, 103, 80, 112, 68, 100, 78, 110, 94, 126, 82, 114, 87, 119, 72, 104, 85, 117, 95, 127, 91, 123, 75, 107, 66, 98, 73, 105, 88, 120, 83, 115, 70, 102)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 72)(6, 80)(7, 65)(8, 86)(9, 89)(10, 88)(11, 90)(12, 66)(13, 94)(14, 93)(15, 85)(16, 67)(17, 87)(18, 69)(19, 71)(20, 70)(21, 96)(22, 95)(23, 79)(24, 84)(25, 83)(26, 73)(27, 76)(28, 75)(29, 82)(30, 81)(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, 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 E22.392
Graph:: bipartite
	v = 2 e = 64 f = 20
	degree seq :: [ 64^2 ]

E22.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^-1 * Y2^-11, (Y3 * Y2^-1)^33 ]
Map::
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 33, 66)(29, 62, 31, 64, 32, 65)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 98, 131, 94, 127, 88, 121, 82, 115, 76, 109, 70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 99, 132, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106, 68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 66 f = 12
	degree seq :: [ 6^11, 66 ]

E22.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y2^-11, (Y3 * Y2^-1)^33 ]
Map::
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 32, 65)(29, 62, 31, 64, 33, 66)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106, 68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 99, 132, 94, 127, 88, 121, 82, 115, 76, 109, 70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 98, 131, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 66 f = 12
	degree seq :: [ 6^11, 66 ]

E22.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 33, 33})
Quotient :: dipole
Aut^+ = C33 (small group id <33, 1>)
Aut   = D66 (small group id <66, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^11 * Y1^-1, (Y3 * Y2^-1)^33 ]
Map:: non-degenerate
	R = (1, 34, 2, 35, 4, 37)(3, 36, 6, 39, 9, 42)(5, 38, 7, 40, 10, 43)(8, 41, 12, 45, 15, 48)(11, 44, 13, 46, 16, 49)(14, 47, 18, 51, 21, 54)(17, 50, 19, 52, 22, 55)(20, 53, 24, 57, 27, 60)(23, 56, 25, 58, 28, 61)(26, 59, 30, 63, 32, 65)(29, 62, 31, 64, 33, 66)(67, 100, 69, 102, 74, 107, 80, 113, 86, 119, 92, 125, 97, 130, 91, 124, 85, 118, 79, 112, 73, 106, 68, 101, 72, 105, 78, 111, 84, 117, 90, 123, 96, 129, 99, 132, 94, 127, 88, 121, 82, 115, 76, 109, 70, 103, 75, 108, 81, 114, 87, 120, 93, 126, 98, 131, 95, 128, 89, 122, 83, 116, 77, 110, 71, 104)
	L = (1, 68)(2, 70)(3, 72)(4, 67)(5, 73)(6, 75)(7, 76)(8, 78)(9, 69)(10, 71)(11, 79)(12, 81)(13, 82)(14, 84)(15, 74)(16, 77)(17, 85)(18, 87)(19, 88)(20, 90)(21, 80)(22, 83)(23, 91)(24, 93)(25, 94)(26, 96)(27, 86)(28, 89)(29, 97)(30, 98)(31, 99)(32, 92)(33, 95)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 6, 66, 6, 66, 6, 66 ), ( 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 12 e = 66 f = 12
	degree seq :: [ 6^11, 66 ]

E22.406 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y1, Y2^4, Y2 * Y1^-3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3^3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 13, 49, 6, 42, 16, 52, 5, 41)(2, 38, 7, 43, 10, 46, 3, 39, 9, 45, 8, 44)(11, 47, 21, 57, 24, 60, 12, 48, 23, 59, 22, 58)(14, 50, 25, 61, 28, 64, 15, 51, 27, 63, 26, 62)(17, 53, 29, 65, 32, 68, 18, 54, 31, 67, 30, 66)(19, 55, 33, 69, 36, 72, 20, 56, 35, 71, 34, 70)(73, 74, 78, 75)(76, 83, 88, 84)(77, 86, 85, 87)(79, 89, 81, 90)(80, 91, 82, 92)(93, 101, 95, 103)(94, 105, 96, 107)(97, 102, 99, 104)(98, 106, 100, 108)(109, 111, 114, 110)(112, 120, 124, 119)(113, 123, 121, 122)(115, 126, 117, 125)(116, 128, 118, 127)(129, 139, 131, 137)(130, 143, 132, 141)(133, 140, 135, 138)(134, 144, 136, 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) :: { ( 24^4 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E22.408
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 4^18, 12^6 ]

E22.407 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y1 * Y3^-2 * Y2^-2, Y1^3 * Y3^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y2^6, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 14, 50, 5, 41)(2, 38, 7, 43, 9, 45, 8, 44)(3, 39, 10, 46, 6, 42, 11, 47)(12, 48, 25, 61, 15, 51, 26, 62)(13, 49, 27, 63, 16, 52, 28, 64)(17, 53, 29, 65, 19, 55, 30, 66)(18, 54, 31, 67, 20, 56, 32, 68)(21, 57, 33, 69, 23, 59, 34, 70)(22, 58, 35, 71, 24, 60, 36, 72)(73, 74, 78, 86, 81, 75)(76, 84, 88, 77, 87, 85)(79, 89, 92, 80, 91, 90)(82, 93, 96, 83, 95, 94)(97, 101, 106, 98, 102, 105)(99, 103, 108, 100, 104, 107)(109, 111, 117, 122, 114, 110)(112, 121, 123, 113, 124, 120)(115, 126, 127, 116, 128, 125)(118, 130, 131, 119, 132, 129)(133, 141, 138, 134, 142, 137)(135, 143, 140, 136, 144, 139)
	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) :: { ( 16^6 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E22.409
Graph:: bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.408 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2 * Y1, Y2^4, Y2 * Y1^-3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3^3 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 13, 49, 85, 121, 6, 42, 78, 114, 16, 52, 88, 124, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 10, 46, 82, 118, 3, 39, 75, 111, 9, 45, 81, 117, 8, 44, 80, 116)(11, 47, 83, 119, 21, 57, 93, 129, 24, 60, 96, 132, 12, 48, 84, 120, 23, 59, 95, 131, 22, 58, 94, 130)(14, 50, 86, 122, 25, 61, 97, 133, 28, 64, 100, 136, 15, 51, 87, 123, 27, 63, 99, 135, 26, 62, 98, 134)(17, 53, 89, 125, 29, 65, 101, 137, 32, 68, 104, 140, 18, 54, 90, 126, 31, 67, 103, 139, 30, 66, 102, 138)(19, 55, 91, 127, 33, 69, 105, 141, 36, 72, 108, 144, 20, 56, 92, 128, 35, 71, 107, 143, 34, 70, 106, 142)
	L = (1, 38)(2, 42)(3, 37)(4, 47)(5, 50)(6, 39)(7, 53)(8, 55)(9, 54)(10, 56)(11, 52)(12, 40)(13, 51)(14, 49)(15, 41)(16, 48)(17, 45)(18, 43)(19, 46)(20, 44)(21, 65)(22, 69)(23, 67)(24, 71)(25, 66)(26, 70)(27, 68)(28, 72)(29, 59)(30, 63)(31, 57)(32, 61)(33, 60)(34, 64)(35, 58)(36, 62)(73, 111)(74, 109)(75, 114)(76, 120)(77, 123)(78, 110)(79, 126)(80, 128)(81, 125)(82, 127)(83, 112)(84, 124)(85, 122)(86, 113)(87, 121)(88, 119)(89, 115)(90, 117)(91, 116)(92, 118)(93, 139)(94, 143)(95, 137)(96, 141)(97, 140)(98, 144)(99, 138)(100, 142)(101, 129)(102, 133)(103, 131)(104, 135)(105, 130)(106, 134)(107, 132)(108, 136)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.406
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.409 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y1 * Y3^-2 * Y2^-2, Y1^3 * Y3^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y2^6, Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 14, 50, 86, 122, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 9, 45, 81, 117, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 6, 42, 78, 114, 11, 47, 83, 119)(12, 48, 84, 120, 25, 61, 97, 133, 15, 51, 87, 123, 26, 62, 98, 134)(13, 49, 85, 121, 27, 63, 99, 135, 16, 52, 88, 124, 28, 64, 100, 136)(17, 53, 89, 125, 29, 65, 101, 137, 19, 55, 91, 127, 30, 66, 102, 138)(18, 54, 90, 126, 31, 67, 103, 139, 20, 56, 92, 128, 32, 68, 104, 140)(21, 57, 93, 129, 33, 69, 105, 141, 23, 59, 95, 131, 34, 70, 106, 142)(22, 58, 94, 130, 35, 71, 107, 143, 24, 60, 96, 132, 36, 72, 108, 144)
	L = (1, 38)(2, 42)(3, 37)(4, 48)(5, 51)(6, 50)(7, 53)(8, 55)(9, 39)(10, 57)(11, 59)(12, 52)(13, 40)(14, 45)(15, 49)(16, 41)(17, 56)(18, 43)(19, 54)(20, 44)(21, 60)(22, 46)(23, 58)(24, 47)(25, 65)(26, 66)(27, 67)(28, 68)(29, 70)(30, 69)(31, 72)(32, 71)(33, 61)(34, 62)(35, 63)(36, 64)(73, 111)(74, 109)(75, 117)(76, 121)(77, 124)(78, 110)(79, 126)(80, 128)(81, 122)(82, 130)(83, 132)(84, 112)(85, 123)(86, 114)(87, 113)(88, 120)(89, 115)(90, 127)(91, 116)(92, 125)(93, 118)(94, 131)(95, 119)(96, 129)(97, 141)(98, 142)(99, 143)(100, 144)(101, 133)(102, 134)(103, 135)(104, 136)(105, 138)(106, 137)(107, 140)(108, 139)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.407
Transitivity :: VT+
Graph::
	v = 9 e = 72 f = 21
	degree seq :: [ 16^9 ]

E22.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y2^-1)^2, Y1^-2 * Y2^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 12, 48, 23, 59, 17, 53)(6, 42, 11, 47, 13, 49, 20, 56)(7, 43, 10, 46, 24, 60, 19, 55)(14, 50, 26, 62, 34, 70, 31, 67)(16, 52, 25, 61, 36, 72, 32, 68)(18, 54, 28, 64, 29, 65, 33, 69)(22, 58, 27, 63, 30, 66, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 101, 137, 95, 131, 106, 142, 90, 126)(79, 115, 88, 124, 102, 138, 96, 132, 108, 144, 94, 130)(82, 118, 97, 133, 107, 143, 91, 127, 104, 140, 99, 135)(84, 120, 98, 134, 105, 141, 89, 125, 103, 139, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 91)(6, 90)(7, 73)(8, 95)(9, 97)(10, 84)(11, 99)(12, 74)(13, 101)(14, 88)(15, 104)(16, 75)(17, 77)(18, 94)(19, 89)(20, 107)(21, 106)(22, 78)(23, 96)(24, 80)(25, 98)(26, 81)(27, 100)(28, 83)(29, 102)(30, 85)(31, 87)(32, 103)(33, 92)(34, 108)(35, 105)(36, 93)(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, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.412
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 9, 45, 16, 52, 11, 47)(5, 41, 14, 50, 10, 46, 15, 51)(7, 43, 17, 53, 12, 48, 18, 54)(8, 44, 19, 55, 13, 49, 20, 56)(21, 57, 29, 65, 23, 59, 31, 67)(22, 58, 33, 69, 24, 60, 35, 71)(25, 61, 30, 66, 27, 63, 32, 68)(26, 62, 34, 70, 28, 64, 36, 72)(73, 109, 75, 111, 82, 118, 78, 114, 88, 124, 77, 113)(74, 110, 79, 115, 85, 121, 76, 112, 84, 120, 80, 116)(81, 117, 93, 129, 96, 132, 83, 119, 95, 131, 94, 130)(86, 122, 97, 133, 100, 136, 87, 123, 99, 135, 98, 134)(89, 125, 101, 137, 104, 140, 90, 126, 103, 139, 102, 138)(91, 127, 105, 141, 108, 144, 92, 128, 107, 143, 106, 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) :: { ( 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y2)^2, (R * Y1)^2, (Y3, Y2^-1), Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-2 * Y2^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 25, 61, 16, 52)(4, 40, 12, 48, 27, 63, 18, 54)(6, 42, 23, 59, 14, 50, 24, 60)(7, 43, 10, 46, 28, 64, 21, 57)(9, 45, 29, 65, 20, 56, 15, 51)(11, 47, 32, 68, 22, 58, 26, 62)(17, 53, 30, 66, 36, 72, 35, 71)(19, 55, 31, 67, 34, 70, 33, 69)(73, 109, 75, 111, 86, 122, 80, 116, 97, 133, 78, 114)(74, 110, 81, 117, 94, 130, 77, 113, 92, 128, 83, 119)(76, 112, 87, 123, 106, 142, 99, 135, 101, 137, 91, 127)(79, 115, 89, 125, 104, 140, 100, 136, 108, 144, 98, 134)(82, 118, 85, 121, 105, 141, 93, 129, 88, 124, 103, 139)(84, 120, 102, 138, 96, 132, 90, 126, 107, 143, 95, 131)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 93)(6, 91)(7, 73)(8, 99)(9, 85)(10, 84)(11, 103)(12, 74)(13, 102)(14, 106)(15, 89)(16, 107)(17, 75)(18, 77)(19, 98)(20, 88)(21, 90)(22, 105)(23, 83)(24, 94)(25, 101)(26, 78)(27, 100)(28, 80)(29, 108)(30, 81)(31, 95)(32, 86)(33, 96)(34, 104)(35, 92)(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) :: { ( 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 E22.410
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y2)^2, Y3 * Y1^-1 * Y3 * Y1, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^2, Y3^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 25, 61, 16, 52)(4, 40, 12, 48, 27, 63, 18, 54)(6, 42, 23, 59, 14, 50, 24, 60)(7, 43, 10, 46, 28, 64, 21, 57)(9, 45, 29, 65, 20, 56, 17, 53)(11, 47, 31, 67, 22, 58, 19, 55)(15, 51, 30, 66, 36, 72, 35, 71)(26, 62, 32, 68, 34, 70, 33, 69)(73, 109, 75, 111, 86, 122, 80, 116, 97, 133, 78, 114)(74, 110, 81, 117, 94, 130, 77, 113, 92, 128, 83, 119)(76, 112, 87, 123, 103, 139, 99, 135, 108, 144, 91, 127)(79, 115, 89, 125, 106, 142, 100, 136, 101, 137, 98, 134)(82, 118, 102, 138, 96, 132, 93, 129, 107, 143, 95, 131)(84, 120, 85, 121, 105, 141, 90, 126, 88, 124, 104, 140)
	L = (1, 76)(2, 82)(3, 87)(4, 79)(5, 93)(6, 91)(7, 73)(8, 99)(9, 102)(10, 84)(11, 95)(12, 74)(13, 81)(14, 103)(15, 89)(16, 92)(17, 75)(18, 77)(19, 98)(20, 107)(21, 90)(22, 96)(23, 104)(24, 105)(25, 108)(26, 78)(27, 100)(28, 80)(29, 97)(30, 85)(31, 106)(32, 83)(33, 94)(34, 86)(35, 88)(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) :: { ( 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6, 6})
Quotient :: dipole
Aut^+ = (C3 x C3) : C4 (small group id <36, 7>)
Aut   = (C6 x C6) : C2 (small group id <72, 35>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, Y1 * Y2 * Y1^-1 * Y2, (Y3^-1, Y2), (R * Y2^-1)^2, Y1^4, Y2^-2 * Y1^2 * Y2^-1, Y1^-2 * Y3 * Y1^-2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 15, 51)(4, 40, 12, 48, 23, 59, 17, 53)(6, 42, 9, 45, 13, 49, 19, 55)(7, 43, 10, 46, 24, 60, 20, 56)(14, 50, 28, 64, 34, 70, 31, 67)(16, 52, 27, 63, 36, 72, 32, 68)(18, 54, 26, 62, 29, 65, 33, 69)(22, 58, 25, 61, 30, 66, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 91, 127, 83, 119)(76, 112, 86, 122, 101, 137, 95, 131, 106, 142, 90, 126)(79, 115, 88, 124, 102, 138, 96, 132, 108, 144, 94, 130)(82, 118, 97, 133, 104, 140, 92, 128, 107, 143, 99, 135)(84, 120, 98, 134, 103, 139, 89, 125, 105, 141, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 79)(5, 92)(6, 90)(7, 73)(8, 95)(9, 97)(10, 84)(11, 99)(12, 74)(13, 101)(14, 88)(15, 104)(16, 75)(17, 77)(18, 94)(19, 107)(20, 89)(21, 106)(22, 78)(23, 96)(24, 80)(25, 98)(26, 81)(27, 100)(28, 83)(29, 102)(30, 85)(31, 87)(32, 103)(33, 91)(34, 108)(35, 105)(36, 93)(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, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.415 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y1^-1, Y2), Y3^-3 * Y1 * Y2^-1, Y2^2 * Y1^4, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 15, 51, 11, 47, 22, 58, 7, 43)(2, 38, 10, 46, 14, 50, 3, 39, 13, 49, 12, 48)(5, 41, 18, 54, 17, 53, 6, 42, 21, 57, 16, 52)(8, 44, 25, 61, 28, 64, 9, 45, 27, 63, 26, 62)(19, 55, 29, 65, 32, 68, 20, 56, 30, 66, 31, 67)(23, 59, 33, 69, 36, 72, 24, 60, 35, 71, 34, 70)(73, 74, 80, 95, 91, 77)(75, 81, 96, 92, 78, 83)(76, 84, 97, 106, 101, 88)(79, 82, 98, 105, 103, 90)(85, 100, 107, 104, 93, 87)(86, 99, 108, 102, 89, 94)(109, 111, 116, 132, 127, 114)(110, 117, 131, 128, 113, 119)(112, 122, 133, 144, 137, 125)(115, 121, 134, 143, 139, 129)(118, 136, 141, 140, 126, 123)(120, 135, 142, 138, 124, 130)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.428
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.416 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y1, Y1^2 * Y2^-2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y3^2, Y1 * Y3^2 * Y2 * Y3^-1, Y2^2 * Y1^4, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 17, 53, 11, 47, 26, 62, 7, 43)(2, 38, 10, 46, 14, 50, 3, 39, 13, 49, 12, 48)(5, 41, 18, 54, 23, 59, 6, 42, 22, 58, 21, 57)(8, 44, 29, 65, 32, 68, 9, 45, 31, 67, 30, 66)(15, 51, 27, 63, 24, 60, 16, 52, 28, 64, 25, 61)(19, 55, 35, 71, 34, 70, 20, 56, 36, 72, 33, 69)(73, 74, 80, 99, 91, 77)(75, 81, 100, 92, 78, 83)(76, 87, 101, 93, 107, 84)(79, 90, 102, 82, 105, 96)(85, 106, 97, 89, 94, 104)(86, 98, 88, 103, 95, 108)(109, 111, 116, 136, 127, 114)(110, 117, 135, 128, 113, 119)(112, 124, 137, 131, 143, 122)(115, 130, 138, 121, 141, 133)(118, 142, 132, 125, 126, 140)(120, 134, 123, 139, 129, 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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.427
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.417 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y2 * Y3^-2, Y2^6, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^6, Y3 * Y1^-1 * Y3 * Y1^3, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 11, 47, 26, 62, 7, 43)(2, 38, 10, 46, 14, 50, 3, 39, 13, 49, 12, 48)(5, 41, 20, 56, 16, 52, 6, 42, 23, 59, 15, 51)(8, 44, 29, 65, 32, 68, 9, 45, 31, 67, 30, 66)(18, 54, 27, 63, 24, 60, 19, 55, 28, 64, 25, 61)(21, 57, 35, 71, 34, 70, 22, 58, 36, 72, 33, 69)(73, 74, 80, 99, 93, 77)(75, 81, 100, 94, 78, 83)(76, 87, 101, 84, 107, 90)(79, 96, 102, 92, 105, 82)(85, 89, 97, 104, 95, 106)(86, 108, 91, 98, 88, 103)(109, 111, 116, 136, 129, 114)(110, 117, 135, 130, 113, 119)(112, 124, 137, 122, 143, 127)(115, 133, 138, 131, 141, 121)(118, 125, 132, 140, 128, 142)(120, 144, 126, 134, 123, 139)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.429
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.418 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C3 x D24 (small group id <72, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-2, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 17, 53, 9, 45, 22, 58, 7, 43)(2, 38, 10, 46, 19, 55, 6, 42, 21, 57, 12, 48)(3, 39, 14, 50, 18, 54, 5, 41, 20, 56, 16, 52)(8, 44, 24, 60, 27, 63, 11, 47, 28, 64, 26, 62)(13, 49, 29, 65, 31, 67, 15, 51, 32, 68, 30, 66)(23, 59, 33, 69, 35, 71, 25, 61, 36, 72, 34, 70)(73, 74, 80, 95, 85, 77)(75, 81, 78, 83, 97, 87)(76, 84, 96, 106, 101, 90)(79, 82, 98, 105, 102, 92)(86, 89, 93, 99, 108, 103)(88, 94, 91, 100, 107, 104)(109, 111, 121, 133, 116, 114)(110, 117, 113, 123, 131, 119)(112, 124, 137, 143, 132, 127)(115, 122, 138, 144, 134, 129)(118, 125, 128, 139, 141, 135)(120, 130, 126, 140, 142, 136)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.430
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.419 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y2^-1), (Y2^-1 * Y1)^2, Y2^-1 * Y1^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^2 * Y2^4, (Y3 * Y1^-1 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 17, 53, 15, 51)(6, 42, 20, 56, 16, 52)(8, 44, 23, 59, 24, 60)(9, 45, 25, 61, 26, 62)(11, 47, 28, 64, 27, 63)(18, 54, 29, 65, 31, 67)(19, 55, 30, 66, 32, 68)(21, 57, 33, 69, 34, 70)(22, 58, 35, 71, 36, 72)(73, 74, 80, 93, 90, 77)(75, 81, 94, 91, 78, 83)(76, 84, 95, 106, 101, 87)(79, 82, 96, 105, 103, 89)(85, 98, 107, 104, 92, 99)(86, 97, 108, 102, 88, 100)(109, 111, 116, 130, 126, 114)(110, 117, 129, 127, 113, 119)(112, 122, 131, 144, 137, 124)(115, 121, 132, 143, 139, 128)(118, 134, 141, 140, 125, 135)(120, 133, 142, 138, 123, 136)
	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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.424
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.420 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2 * Y1^-1)^2, (Y2^-1, Y1), Y1 * Y2^-2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, Y1^2 * Y2^4, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-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:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 17, 53, 20, 56)(6, 42, 21, 57, 22, 58)(8, 44, 27, 63, 28, 64)(9, 45, 29, 65, 30, 66)(11, 47, 33, 69, 34, 70)(15, 51, 25, 61, 23, 59)(16, 52, 26, 62, 24, 60)(18, 54, 35, 71, 31, 67)(19, 55, 36, 72, 32, 68)(73, 74, 80, 97, 90, 77)(75, 81, 98, 91, 78, 83)(76, 87, 99, 92, 107, 84)(79, 89, 100, 82, 103, 95)(85, 104, 96, 106, 93, 102)(86, 105, 88, 101, 94, 108)(109, 111, 116, 134, 126, 114)(110, 117, 133, 127, 113, 119)(112, 124, 135, 130, 143, 122)(115, 129, 136, 121, 139, 132)(118, 140, 131, 142, 125, 138)(120, 141, 123, 137, 128, 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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.423
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.421 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-2, (Y2, Y1^-1), (Y2^-1 * Y3^-1)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-4 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-3 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2^3, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 19, 55, 15, 51)(6, 42, 22, 58, 16, 52)(8, 44, 27, 63, 28, 64)(9, 45, 29, 65, 30, 66)(11, 47, 34, 70, 31, 67)(17, 53, 25, 61, 23, 59)(18, 54, 26, 62, 24, 60)(20, 56, 35, 71, 32, 68)(21, 57, 36, 72, 33, 69)(73, 74, 80, 97, 92, 77)(75, 81, 98, 93, 78, 83)(76, 87, 99, 84, 107, 89)(79, 95, 100, 91, 104, 82)(85, 103, 96, 102, 94, 105)(86, 108, 90, 106, 88, 101)(109, 111, 116, 134, 128, 114)(110, 117, 133, 129, 113, 119)(112, 124, 135, 122, 143, 126)(115, 132, 136, 130, 140, 121)(118, 139, 131, 138, 127, 141)(120, 144, 125, 142, 123, 137)
	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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.425
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.422 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C3 x D24 (small group id <72, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^6, Y2^6, (Y3 * Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 14, 50, 16, 52)(5, 41, 19, 55, 17, 53)(6, 42, 20, 56, 18, 54)(8, 44, 22, 58, 24, 60)(9, 45, 25, 61, 26, 62)(11, 47, 28, 64, 27, 63)(13, 49, 29, 65, 30, 66)(15, 51, 32, 68, 31, 67)(21, 57, 33, 69, 34, 70)(23, 59, 36, 72, 35, 71)(73, 74, 80, 93, 85, 77)(75, 81, 78, 83, 95, 87)(76, 84, 94, 106, 101, 89)(79, 82, 96, 105, 102, 91)(86, 98, 92, 99, 108, 103)(88, 97, 90, 100, 107, 104)(109, 111, 121, 131, 116, 114)(110, 117, 113, 123, 129, 119)(112, 124, 137, 143, 130, 126)(115, 122, 138, 144, 132, 128)(118, 134, 127, 139, 141, 135)(120, 133, 125, 140, 142, 136)
	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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.426
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.423 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^-2, (Y2 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y1^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y1^-1, Y2), Y3^-3 * Y1 * Y2^-1, Y2^2 * Y1^4, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 15, 51, 87, 123, 11, 47, 83, 119, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 14, 50, 86, 122, 3, 39, 75, 111, 13, 49, 85, 121, 12, 48, 84, 120)(5, 41, 77, 113, 18, 54, 90, 126, 17, 53, 89, 125, 6, 42, 78, 114, 21, 57, 93, 129, 16, 52, 88, 124)(8, 44, 80, 116, 25, 61, 97, 133, 28, 64, 100, 136, 9, 45, 81, 117, 27, 63, 99, 135, 26, 62, 98, 134)(19, 55, 91, 127, 29, 65, 101, 137, 32, 68, 104, 140, 20, 56, 92, 128, 30, 66, 102, 138, 31, 67, 103, 139)(23, 59, 95, 131, 33, 69, 105, 141, 36, 72, 108, 144, 24, 60, 96, 132, 35, 71, 107, 143, 34, 70, 106, 142)
	L = (1, 38)(2, 44)(3, 45)(4, 48)(5, 37)(6, 47)(7, 46)(8, 59)(9, 60)(10, 62)(11, 39)(12, 61)(13, 64)(14, 63)(15, 49)(16, 40)(17, 58)(18, 43)(19, 41)(20, 42)(21, 51)(22, 50)(23, 55)(24, 56)(25, 70)(26, 69)(27, 72)(28, 71)(29, 52)(30, 53)(31, 54)(32, 57)(33, 67)(34, 65)(35, 68)(36, 66)(73, 111)(74, 117)(75, 116)(76, 122)(77, 119)(78, 109)(79, 121)(80, 132)(81, 131)(82, 136)(83, 110)(84, 135)(85, 134)(86, 133)(87, 118)(88, 130)(89, 112)(90, 123)(91, 114)(92, 113)(93, 115)(94, 120)(95, 128)(96, 127)(97, 144)(98, 143)(99, 142)(100, 141)(101, 125)(102, 124)(103, 129)(104, 126)(105, 140)(106, 138)(107, 139)(108, 137)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.420
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.424 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y1)^2, R * Y2 * R * Y1, Y1^2 * Y2^-2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y3^2, Y1 * Y3^2 * Y2 * Y3^-1, Y2^2 * Y1^4, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 11, 47, 83, 119, 26, 62, 98, 134, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 14, 50, 86, 122, 3, 39, 75, 111, 13, 49, 85, 121, 12, 48, 84, 120)(5, 41, 77, 113, 18, 54, 90, 126, 23, 59, 95, 131, 6, 42, 78, 114, 22, 58, 94, 130, 21, 57, 93, 129)(8, 44, 80, 116, 29, 65, 101, 137, 32, 68, 104, 140, 9, 45, 81, 117, 31, 67, 103, 139, 30, 66, 102, 138)(15, 51, 87, 123, 27, 63, 99, 135, 24, 60, 96, 132, 16, 52, 88, 124, 28, 64, 100, 136, 25, 61, 97, 133)(19, 55, 91, 127, 35, 71, 107, 143, 34, 70, 106, 142, 20, 56, 92, 128, 36, 72, 108, 144, 33, 69, 105, 141)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 54)(8, 63)(9, 64)(10, 69)(11, 39)(12, 40)(13, 70)(14, 62)(15, 65)(16, 67)(17, 58)(18, 66)(19, 41)(20, 42)(21, 71)(22, 68)(23, 72)(24, 43)(25, 53)(26, 52)(27, 55)(28, 56)(29, 57)(30, 46)(31, 59)(32, 49)(33, 60)(34, 61)(35, 48)(36, 50)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 130)(80, 136)(81, 135)(82, 142)(83, 110)(84, 134)(85, 141)(86, 112)(87, 139)(88, 137)(89, 126)(90, 140)(91, 114)(92, 113)(93, 144)(94, 138)(95, 143)(96, 125)(97, 115)(98, 123)(99, 128)(100, 127)(101, 131)(102, 121)(103, 129)(104, 118)(105, 133)(106, 132)(107, 122)(108, 120)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.419
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.425 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3, Y3^-1 * Y1^-1 * Y2 * Y3^-2, Y2^6, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y1^6, Y3 * Y1^-1 * Y3 * Y1^3, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 11, 47, 83, 119, 26, 62, 98, 134, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 14, 50, 86, 122, 3, 39, 75, 111, 13, 49, 85, 121, 12, 48, 84, 120)(5, 41, 77, 113, 20, 56, 92, 128, 16, 52, 88, 124, 6, 42, 78, 114, 23, 59, 95, 131, 15, 51, 87, 123)(8, 44, 80, 116, 29, 65, 101, 137, 32, 68, 104, 140, 9, 45, 81, 117, 31, 67, 103, 139, 30, 66, 102, 138)(18, 54, 90, 126, 27, 63, 99, 135, 24, 60, 96, 132, 19, 55, 91, 127, 28, 64, 100, 136, 25, 61, 97, 133)(21, 57, 93, 129, 35, 71, 107, 143, 34, 70, 106, 142, 22, 58, 94, 130, 36, 72, 108, 144, 33, 69, 105, 141)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 60)(8, 63)(9, 64)(10, 43)(11, 39)(12, 71)(13, 53)(14, 72)(15, 65)(16, 67)(17, 61)(18, 40)(19, 62)(20, 69)(21, 41)(22, 42)(23, 70)(24, 66)(25, 68)(26, 52)(27, 57)(28, 58)(29, 48)(30, 56)(31, 50)(32, 59)(33, 46)(34, 49)(35, 54)(36, 55)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 133)(80, 136)(81, 135)(82, 125)(83, 110)(84, 144)(85, 115)(86, 143)(87, 139)(88, 137)(89, 132)(90, 134)(91, 112)(92, 142)(93, 114)(94, 113)(95, 141)(96, 140)(97, 138)(98, 123)(99, 130)(100, 129)(101, 122)(102, 131)(103, 120)(104, 128)(105, 121)(106, 118)(107, 127)(108, 126)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.421
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.426 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C3 x D24 (small group id <72, 28>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), R * Y1 * R * Y2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-2, Y2^6, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 17, 53, 89, 125, 9, 45, 81, 117, 22, 58, 94, 130, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 19, 55, 91, 127, 6, 42, 78, 114, 21, 57, 93, 129, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 18, 54, 90, 126, 5, 41, 77, 113, 20, 56, 92, 128, 16, 52, 88, 124)(8, 44, 80, 116, 24, 60, 96, 132, 27, 63, 99, 135, 11, 47, 83, 119, 28, 64, 100, 136, 26, 62, 98, 134)(13, 49, 85, 121, 29, 65, 101, 137, 31, 67, 103, 139, 15, 51, 87, 123, 32, 68, 104, 140, 30, 66, 102, 138)(23, 59, 95, 131, 33, 69, 105, 141, 35, 71, 107, 143, 25, 61, 97, 133, 36, 72, 108, 144, 34, 70, 106, 142)
	L = (1, 38)(2, 44)(3, 45)(4, 48)(5, 37)(6, 47)(7, 46)(8, 59)(9, 42)(10, 62)(11, 61)(12, 60)(13, 41)(14, 53)(15, 39)(16, 58)(17, 57)(18, 40)(19, 64)(20, 43)(21, 63)(22, 55)(23, 49)(24, 70)(25, 51)(26, 69)(27, 72)(28, 71)(29, 54)(30, 56)(31, 50)(32, 52)(33, 66)(34, 65)(35, 68)(36, 67)(73, 111)(74, 117)(75, 121)(76, 124)(77, 123)(78, 109)(79, 122)(80, 114)(81, 113)(82, 125)(83, 110)(84, 130)(85, 133)(86, 138)(87, 131)(88, 137)(89, 128)(90, 140)(91, 112)(92, 139)(93, 115)(94, 126)(95, 119)(96, 127)(97, 116)(98, 129)(99, 118)(100, 120)(101, 143)(102, 144)(103, 141)(104, 142)(105, 135)(106, 136)(107, 132)(108, 134)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.422
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.427 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y1, Y2^-1), (Y2^-1 * Y1)^2, Y2^-1 * Y1^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y1^2 * Y2^4, (Y3 * Y1^-1 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 17, 53, 89, 125, 15, 51, 87, 123)(6, 42, 78, 114, 20, 56, 92, 128, 16, 52, 88, 124)(8, 44, 80, 116, 23, 59, 95, 131, 24, 60, 96, 132)(9, 45, 81, 117, 25, 61, 97, 133, 26, 62, 98, 134)(11, 47, 83, 119, 28, 64, 100, 136, 27, 63, 99, 135)(18, 54, 90, 126, 29, 65, 101, 137, 31, 67, 103, 139)(19, 55, 91, 127, 30, 66, 102, 138, 32, 68, 104, 140)(21, 57, 93, 129, 33, 69, 105, 141, 34, 70, 106, 142)(22, 58, 94, 130, 35, 71, 107, 143, 36, 72, 108, 144)
	L = (1, 38)(2, 44)(3, 45)(4, 48)(5, 37)(6, 47)(7, 46)(8, 57)(9, 58)(10, 60)(11, 39)(12, 59)(13, 62)(14, 61)(15, 40)(16, 64)(17, 43)(18, 41)(19, 42)(20, 63)(21, 54)(22, 55)(23, 70)(24, 69)(25, 72)(26, 71)(27, 49)(28, 50)(29, 51)(30, 52)(31, 53)(32, 56)(33, 67)(34, 65)(35, 68)(36, 66)(73, 111)(74, 117)(75, 116)(76, 122)(77, 119)(78, 109)(79, 121)(80, 130)(81, 129)(82, 134)(83, 110)(84, 133)(85, 132)(86, 131)(87, 136)(88, 112)(89, 135)(90, 114)(91, 113)(92, 115)(93, 127)(94, 126)(95, 144)(96, 143)(97, 142)(98, 141)(99, 118)(100, 120)(101, 124)(102, 123)(103, 128)(104, 125)(105, 140)(106, 138)(107, 139)(108, 137)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.416
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.428 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2 * Y1^-1)^2, (Y2^-1, Y1), Y1 * Y2^-2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2 * Y3^-1)^2, Y2^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, Y1^2 * Y2^4, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-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:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 17, 53, 89, 125, 20, 56, 92, 128)(6, 42, 78, 114, 21, 57, 93, 129, 22, 58, 94, 130)(8, 44, 80, 116, 27, 63, 99, 135, 28, 64, 100, 136)(9, 45, 81, 117, 29, 65, 101, 137, 30, 66, 102, 138)(11, 47, 83, 119, 33, 69, 105, 141, 34, 70, 106, 142)(15, 51, 87, 123, 25, 61, 97, 133, 23, 59, 95, 131)(16, 52, 88, 124, 26, 62, 98, 134, 24, 60, 96, 132)(18, 54, 90, 126, 35, 71, 107, 143, 31, 67, 103, 139)(19, 55, 91, 127, 36, 72, 108, 144, 32, 68, 104, 140)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 53)(8, 61)(9, 62)(10, 67)(11, 39)(12, 40)(13, 68)(14, 69)(15, 63)(16, 65)(17, 64)(18, 41)(19, 42)(20, 71)(21, 66)(22, 72)(23, 43)(24, 70)(25, 54)(26, 55)(27, 56)(28, 46)(29, 58)(30, 49)(31, 59)(32, 60)(33, 52)(34, 57)(35, 48)(36, 50)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 129)(80, 134)(81, 133)(82, 140)(83, 110)(84, 141)(85, 139)(86, 112)(87, 137)(88, 135)(89, 138)(90, 114)(91, 113)(92, 144)(93, 136)(94, 143)(95, 142)(96, 115)(97, 127)(98, 126)(99, 130)(100, 121)(101, 128)(102, 118)(103, 132)(104, 131)(105, 123)(106, 125)(107, 122)(108, 120)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.415
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.429 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-2, (Y2, Y1^-1), (Y2^-1 * Y3^-1)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-4 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-3 * Y2^-1 * Y1^-1, Y2^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2^3, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 19, 55, 91, 127, 15, 51, 87, 123)(6, 42, 78, 114, 22, 58, 94, 130, 16, 52, 88, 124)(8, 44, 80, 116, 27, 63, 99, 135, 28, 64, 100, 136)(9, 45, 81, 117, 29, 65, 101, 137, 30, 66, 102, 138)(11, 47, 83, 119, 34, 70, 106, 142, 31, 67, 103, 139)(17, 53, 89, 125, 25, 61, 97, 133, 23, 59, 95, 131)(18, 54, 90, 126, 26, 62, 98, 134, 24, 60, 96, 132)(20, 56, 92, 128, 35, 71, 107, 143, 32, 68, 104, 140)(21, 57, 93, 129, 36, 72, 108, 144, 33, 69, 105, 141)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 59)(8, 61)(9, 62)(10, 43)(11, 39)(12, 71)(13, 67)(14, 72)(15, 63)(16, 65)(17, 40)(18, 70)(19, 68)(20, 41)(21, 42)(22, 69)(23, 64)(24, 66)(25, 56)(26, 57)(27, 48)(28, 55)(29, 50)(30, 58)(31, 60)(32, 46)(33, 49)(34, 52)(35, 53)(36, 54)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 132)(80, 134)(81, 133)(82, 139)(83, 110)(84, 144)(85, 115)(86, 143)(87, 137)(88, 135)(89, 142)(90, 112)(91, 141)(92, 114)(93, 113)(94, 140)(95, 138)(96, 136)(97, 129)(98, 128)(99, 122)(100, 130)(101, 120)(102, 127)(103, 131)(104, 121)(105, 118)(106, 123)(107, 126)(108, 125)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.417
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.430 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C3 x D24 (small group id <72, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^2, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y2 * Y3 * Y2^-1, Y1^6, Y2^6, (Y3 * Y1^-1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 14, 50, 86, 122, 16, 52, 88, 124)(5, 41, 77, 113, 19, 55, 91, 127, 17, 53, 89, 125)(6, 42, 78, 114, 20, 56, 92, 128, 18, 54, 90, 126)(8, 44, 80, 116, 22, 58, 94, 130, 24, 60, 96, 132)(9, 45, 81, 117, 25, 61, 97, 133, 26, 62, 98, 134)(11, 47, 83, 119, 28, 64, 100, 136, 27, 63, 99, 135)(13, 49, 85, 121, 29, 65, 101, 137, 30, 66, 102, 138)(15, 51, 87, 123, 32, 68, 104, 140, 31, 67, 103, 139)(21, 57, 93, 129, 33, 69, 105, 141, 34, 70, 106, 142)(23, 59, 95, 131, 36, 72, 108, 144, 35, 71, 107, 143)
	L = (1, 38)(2, 44)(3, 45)(4, 48)(5, 37)(6, 47)(7, 46)(8, 57)(9, 42)(10, 60)(11, 59)(12, 58)(13, 41)(14, 62)(15, 39)(16, 61)(17, 40)(18, 64)(19, 43)(20, 63)(21, 49)(22, 70)(23, 51)(24, 69)(25, 54)(26, 56)(27, 72)(28, 71)(29, 53)(30, 55)(31, 50)(32, 52)(33, 66)(34, 65)(35, 68)(36, 67)(73, 111)(74, 117)(75, 121)(76, 124)(77, 123)(78, 109)(79, 122)(80, 114)(81, 113)(82, 134)(83, 110)(84, 133)(85, 131)(86, 138)(87, 129)(88, 137)(89, 140)(90, 112)(91, 139)(92, 115)(93, 119)(94, 126)(95, 116)(96, 128)(97, 125)(98, 127)(99, 118)(100, 120)(101, 143)(102, 144)(103, 141)(104, 142)(105, 135)(106, 136)(107, 130)(108, 132)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.418
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^-1 * Y3 * Y2 * Y3, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2^-1)^2, (R * Y3)^2, (Y2^-1 * Y3 * Y1^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 7, 43, 12, 48)(4, 40, 13, 49, 14, 50)(6, 42, 9, 45, 17, 53)(8, 44, 21, 57, 22, 58)(10, 46, 19, 55, 27, 63)(11, 47, 28, 64, 29, 65)(15, 51, 32, 68, 20, 56)(16, 52, 33, 69, 26, 62)(18, 54, 24, 60, 31, 67)(23, 59, 35, 71, 30, 66)(25, 61, 34, 70, 36, 72)(73, 109, 75, 111, 82, 118, 97, 133, 90, 126, 78, 114)(74, 110, 79, 115, 91, 127, 106, 142, 96, 132, 81, 117)(76, 112, 83, 119, 98, 134, 107, 143, 93, 129, 87, 123)(77, 113, 84, 120, 99, 135, 108, 144, 103, 139, 89, 125)(80, 116, 92, 128, 86, 122, 101, 137, 105, 141, 95, 131)(85, 121, 100, 136, 88, 124, 102, 138, 94, 130, 104, 140)
	L = (1, 76)(2, 80)(3, 83)(4, 73)(5, 88)(6, 87)(7, 92)(8, 74)(9, 95)(10, 98)(11, 75)(12, 102)(13, 103)(14, 91)(15, 78)(16, 77)(17, 100)(18, 93)(19, 86)(20, 79)(21, 90)(22, 99)(23, 81)(24, 105)(25, 107)(26, 82)(27, 94)(28, 89)(29, 106)(30, 84)(31, 85)(32, 108)(33, 96)(34, 101)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.473
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, R * Y2 * R * Y1 * Y2^-1, (Y2^-1 * Y1^-1 * Y3)^2, (Y1 * Y2 * Y3)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 7, 43, 12, 48)(4, 40, 8, 44, 14, 50)(6, 42, 9, 45, 16, 52)(10, 46, 19, 55, 25, 61)(11, 47, 20, 56, 15, 51)(13, 49, 21, 57, 17, 53)(18, 54, 22, 58, 29, 65)(23, 59, 32, 68, 34, 70)(24, 60, 28, 64, 26, 62)(27, 63, 31, 67, 30, 66)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 82, 118, 95, 131, 90, 126, 78, 114)(74, 110, 79, 115, 91, 127, 104, 140, 94, 130, 81, 117)(76, 112, 85, 121, 99, 135, 105, 141, 100, 136, 87, 123)(77, 113, 84, 120, 97, 133, 106, 142, 101, 137, 88, 124)(80, 116, 93, 129, 103, 139, 108, 144, 98, 134, 83, 119)(86, 122, 89, 125, 102, 138, 107, 143, 96, 132, 92, 128)
	L = (1, 76)(2, 80)(3, 83)(4, 73)(5, 86)(6, 89)(7, 92)(8, 74)(9, 85)(10, 96)(11, 75)(12, 87)(13, 81)(14, 77)(15, 84)(16, 93)(17, 78)(18, 103)(19, 100)(20, 79)(21, 88)(22, 102)(23, 105)(24, 82)(25, 98)(26, 97)(27, 101)(28, 91)(29, 99)(30, 94)(31, 90)(32, 108)(33, 95)(34, 107)(35, 106)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.474
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 7, 43)(4, 40, 8, 44, 13, 49)(6, 42, 15, 51, 9, 45)(11, 47, 17, 53, 21, 57)(12, 48, 22, 58, 18, 54)(14, 50, 25, 61, 19, 55)(16, 52, 20, 56, 27, 63)(23, 59, 31, 67, 28, 64)(24, 60, 29, 65, 32, 68)(26, 62, 30, 66, 34, 70)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 83, 119, 95, 131, 88, 124, 78, 114)(74, 110, 79, 115, 89, 125, 100, 136, 92, 128, 81, 117)(76, 112, 84, 120, 96, 132, 105, 141, 98, 134, 86, 122)(77, 113, 82, 118, 93, 129, 103, 139, 99, 135, 87, 123)(80, 116, 90, 126, 101, 137, 107, 143, 102, 138, 91, 127)(85, 121, 94, 130, 104, 140, 108, 144, 106, 142, 97, 133)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 85)(6, 86)(7, 90)(8, 74)(9, 91)(10, 94)(11, 96)(12, 75)(13, 77)(14, 78)(15, 97)(16, 98)(17, 101)(18, 79)(19, 81)(20, 102)(21, 104)(22, 82)(23, 105)(24, 83)(25, 87)(26, 88)(27, 106)(28, 107)(29, 89)(30, 92)(31, 108)(32, 93)(33, 95)(34, 99)(35, 100)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.459
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y2 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 9, 45)(4, 40, 8, 44, 13, 49)(6, 42, 15, 51, 17, 53)(7, 43, 19, 55, 16, 52)(11, 47, 20, 56, 26, 62)(12, 48, 25, 61, 22, 58)(14, 50, 28, 64, 30, 66)(18, 54, 23, 59, 24, 60)(21, 57, 32, 68, 29, 65)(27, 63, 33, 69, 36, 72)(31, 67, 34, 70, 35, 71)(73, 109, 75, 111, 83, 119, 91, 127, 90, 126, 78, 114)(74, 110, 79, 115, 92, 128, 89, 125, 95, 131, 81, 117)(76, 112, 84, 120, 99, 135, 104, 140, 103, 139, 86, 122)(77, 113, 87, 123, 98, 134, 82, 118, 96, 132, 88, 124)(80, 116, 93, 129, 105, 141, 102, 138, 106, 142, 94, 130)(85, 121, 100, 136, 108, 144, 97, 133, 107, 143, 101, 137)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 85)(6, 86)(7, 93)(8, 74)(9, 94)(10, 97)(11, 99)(12, 75)(13, 77)(14, 78)(15, 100)(16, 101)(17, 102)(18, 103)(19, 104)(20, 105)(21, 79)(22, 81)(23, 106)(24, 107)(25, 82)(26, 108)(27, 83)(28, 87)(29, 88)(30, 89)(31, 90)(32, 91)(33, 92)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.464
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (R * Y2)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y1^-1 * Y3 * Y2^-1)^2, Y2^-3 * Y1^-1 * Y2 * Y1^-1, Y2^3 * Y1^-1 * Y2 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 13, 49)(4, 40, 8, 44, 14, 50)(6, 42, 17, 53, 7, 43)(9, 45, 22, 58, 16, 52)(11, 47, 19, 55, 27, 63)(12, 48, 24, 60, 28, 64)(15, 51, 30, 66, 20, 56)(18, 54, 23, 59, 25, 61)(21, 57, 33, 69, 29, 65)(26, 62, 32, 68, 36, 72)(31, 67, 34, 70, 35, 71)(73, 109, 75, 111, 83, 119, 94, 130, 90, 126, 78, 114)(74, 110, 79, 115, 91, 127, 85, 121, 95, 131, 81, 117)(76, 112, 84, 120, 98, 134, 105, 141, 103, 139, 87, 123)(77, 113, 88, 124, 99, 135, 89, 125, 97, 133, 82, 118)(80, 116, 92, 128, 104, 140, 100, 136, 106, 142, 93, 129)(86, 122, 101, 137, 108, 144, 102, 138, 107, 143, 96, 132)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 86)(6, 87)(7, 92)(8, 74)(9, 93)(10, 96)(11, 98)(12, 75)(13, 100)(14, 77)(15, 78)(16, 101)(17, 102)(18, 103)(19, 104)(20, 79)(21, 81)(22, 105)(23, 106)(24, 82)(25, 107)(26, 83)(27, 108)(28, 85)(29, 88)(30, 89)(31, 90)(32, 91)(33, 94)(34, 95)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.470
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2^-1, Y2^2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 9, 45)(4, 40, 13, 49, 14, 50)(6, 42, 16, 52, 19, 55)(7, 43, 21, 57, 18, 54)(8, 44, 24, 60, 25, 61)(11, 47, 22, 58, 30, 66)(12, 48, 23, 59, 31, 67)(15, 51, 26, 62, 33, 69)(17, 53, 35, 71, 34, 70)(20, 56, 27, 63, 28, 64)(29, 65, 36, 72, 32, 68)(73, 109, 75, 111, 83, 119, 93, 129, 92, 128, 78, 114)(74, 110, 79, 115, 94, 130, 91, 127, 99, 135, 81, 117)(76, 112, 84, 120, 96, 132, 108, 144, 106, 142, 87, 123)(77, 113, 88, 124, 102, 138, 82, 118, 100, 136, 90, 126)(80, 116, 95, 131, 107, 143, 104, 140, 86, 122, 98, 134)(85, 121, 101, 137, 97, 133, 105, 141, 89, 125, 103, 139)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 89)(6, 87)(7, 95)(8, 74)(9, 98)(10, 101)(11, 96)(12, 75)(13, 102)(14, 99)(15, 78)(16, 103)(17, 77)(18, 105)(19, 104)(20, 106)(21, 108)(22, 107)(23, 79)(24, 83)(25, 100)(26, 81)(27, 86)(28, 97)(29, 82)(30, 85)(31, 88)(32, 91)(33, 90)(34, 92)(35, 94)(36, 93)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.453
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (Y2 * R)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 13, 49)(4, 40, 14, 50, 15, 51)(6, 42, 19, 55, 7, 43)(8, 44, 23, 59, 24, 60)(9, 45, 26, 62, 17, 53)(11, 47, 21, 57, 31, 67)(12, 48, 22, 58, 32, 68)(16, 52, 25, 61, 28, 64)(18, 54, 35, 71, 30, 66)(20, 56, 27, 63, 29, 65)(33, 69, 34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 98, 134, 92, 128, 78, 114)(74, 110, 79, 115, 93, 129, 85, 121, 99, 135, 81, 117)(76, 112, 84, 120, 102, 138, 108, 144, 95, 131, 88, 124)(77, 113, 89, 125, 103, 139, 91, 127, 101, 137, 82, 118)(80, 116, 94, 130, 87, 123, 105, 141, 107, 143, 97, 133)(86, 122, 100, 136, 90, 126, 104, 140, 96, 132, 106, 142)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 90)(6, 88)(7, 94)(8, 74)(9, 97)(10, 100)(11, 102)(12, 75)(13, 105)(14, 101)(15, 93)(16, 78)(17, 104)(18, 77)(19, 106)(20, 95)(21, 87)(22, 79)(23, 92)(24, 103)(25, 81)(26, 108)(27, 107)(28, 82)(29, 86)(30, 83)(31, 96)(32, 89)(33, 85)(34, 91)(35, 99)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.454
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2 * Y1 * Y2, (R * Y1^-1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 6, 42, 8, 44)(4, 40, 7, 43, 11, 47)(9, 45, 13, 49, 15, 51)(10, 46, 12, 48, 14, 50)(16, 52, 17, 53, 20, 56)(18, 54, 19, 55, 21, 57)(22, 58, 23, 59, 27, 63)(24, 60, 25, 61, 26, 62)(28, 64, 29, 65, 30, 66)(31, 67, 32, 68, 33, 69)(34, 70, 35, 71, 36, 72)(73, 109, 75, 111, 77, 113, 80, 116, 74, 110, 78, 114)(76, 112, 82, 118, 83, 119, 86, 122, 79, 115, 84, 120)(81, 117, 88, 124, 87, 123, 92, 128, 85, 121, 89, 125)(90, 126, 96, 132, 93, 129, 98, 134, 91, 127, 97, 133)(94, 130, 100, 136, 99, 135, 102, 138, 95, 131, 101, 137)(103, 139, 106, 142, 105, 141, 108, 144, 104, 140, 107, 143)
	L = (1, 76)(2, 79)(3, 81)(4, 73)(5, 83)(6, 85)(7, 74)(8, 87)(9, 75)(10, 90)(11, 77)(12, 91)(13, 78)(14, 93)(15, 80)(16, 94)(17, 95)(18, 82)(19, 84)(20, 99)(21, 86)(22, 88)(23, 89)(24, 103)(25, 104)(26, 105)(27, 92)(28, 106)(29, 107)(30, 108)(31, 96)(32, 97)(33, 98)(34, 100)(35, 101)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.462
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y1^-1 * Y2^2, (Y2 * Y1)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 7, 43, 6, 42)(4, 40, 8, 44, 11, 47)(9, 45, 14, 50, 13, 49)(10, 46, 15, 51, 12, 48)(16, 52, 20, 56, 17, 53)(18, 54, 21, 57, 19, 55)(22, 58, 27, 63, 23, 59)(24, 60, 26, 62, 25, 61)(28, 64, 30, 66, 29, 65)(31, 67, 33, 69, 32, 68)(34, 70, 36, 72, 35, 71)(73, 109, 75, 111, 74, 110, 79, 115, 77, 113, 78, 114)(76, 112, 82, 118, 80, 116, 87, 123, 83, 119, 84, 120)(81, 117, 88, 124, 86, 122, 92, 128, 85, 121, 89, 125)(90, 126, 96, 132, 93, 129, 98, 134, 91, 127, 97, 133)(94, 130, 100, 136, 99, 135, 102, 138, 95, 131, 101, 137)(103, 139, 106, 142, 105, 141, 108, 144, 104, 140, 107, 143)
	L = (1, 76)(2, 80)(3, 81)(4, 73)(5, 83)(6, 85)(7, 86)(8, 74)(9, 75)(10, 90)(11, 77)(12, 91)(13, 78)(14, 79)(15, 93)(16, 94)(17, 95)(18, 82)(19, 84)(20, 99)(21, 87)(22, 88)(23, 89)(24, 103)(25, 104)(26, 105)(27, 92)(28, 106)(29, 107)(30, 108)(31, 96)(32, 97)(33, 98)(34, 100)(35, 101)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.463
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^3, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 9, 45)(4, 40, 13, 49, 15, 51)(6, 42, 17, 53, 21, 57)(7, 43, 23, 59, 19, 55)(8, 44, 26, 62, 27, 63)(11, 47, 24, 60, 32, 68)(12, 48, 25, 61, 33, 69)(14, 50, 20, 56, 29, 65)(16, 52, 28, 64, 35, 71)(18, 54, 34, 70, 36, 72)(22, 58, 30, 66, 31, 67)(73, 109, 75, 111, 83, 119, 95, 131, 94, 130, 78, 114)(74, 110, 79, 115, 96, 132, 93, 129, 102, 138, 81, 117)(76, 112, 86, 122, 98, 134, 105, 141, 108, 144, 88, 124)(77, 113, 89, 125, 104, 140, 82, 118, 103, 139, 91, 127)(80, 116, 92, 128, 106, 142, 84, 120, 87, 123, 100, 136)(85, 121, 97, 133, 99, 135, 107, 143, 90, 126, 101, 137)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 90)(6, 92)(7, 97)(8, 74)(9, 101)(10, 88)(11, 98)(12, 75)(13, 104)(14, 91)(15, 102)(16, 82)(17, 105)(18, 77)(19, 86)(20, 78)(21, 107)(22, 108)(23, 100)(24, 106)(25, 79)(26, 83)(27, 103)(28, 95)(29, 81)(30, 87)(31, 99)(32, 85)(33, 89)(34, 96)(35, 93)(36, 94)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.466
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * R * Y2^-1 * R, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 13, 49)(4, 40, 14, 50, 16, 52)(6, 42, 20, 56, 7, 43)(8, 44, 25, 61, 27, 63)(9, 45, 28, 64, 18, 54)(11, 47, 23, 59, 34, 70)(12, 48, 24, 60, 17, 53)(15, 51, 26, 62, 36, 72)(19, 55, 35, 71, 33, 69)(21, 57, 29, 65, 31, 67)(22, 58, 30, 66, 32, 68)(73, 109, 75, 111, 83, 119, 100, 136, 94, 130, 78, 114)(74, 110, 79, 115, 95, 131, 85, 121, 102, 138, 81, 117)(76, 112, 87, 123, 105, 141, 103, 139, 97, 133, 89, 125)(77, 113, 90, 126, 106, 142, 92, 128, 104, 140, 82, 118)(80, 116, 98, 134, 88, 124, 93, 129, 107, 143, 84, 120)(86, 122, 96, 132, 91, 127, 108, 144, 99, 135, 101, 137)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 91)(6, 93)(7, 96)(8, 74)(9, 101)(10, 103)(11, 105)(12, 75)(13, 108)(14, 104)(15, 92)(16, 95)(17, 90)(18, 89)(19, 77)(20, 87)(21, 78)(22, 97)(23, 88)(24, 79)(25, 94)(26, 100)(27, 106)(28, 98)(29, 81)(30, 107)(31, 82)(32, 86)(33, 83)(34, 99)(35, 102)(36, 85)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.467
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y3 * Y2, Y2 * Y1^-1 * R * Y2^-1 * R, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^2 * Y1 * Y2^-1 * Y1 * Y2, Y2^6, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y1^-1 * Y2^3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 10, 46, 13, 49)(4, 40, 14, 50, 16, 52)(6, 42, 20, 56, 7, 43)(8, 44, 25, 61, 27, 63)(9, 45, 29, 65, 18, 54)(11, 47, 23, 59, 33, 69)(12, 48, 24, 60, 34, 70)(15, 51, 26, 62, 21, 57)(17, 53, 28, 64, 35, 71)(19, 55, 36, 72, 32, 68)(22, 58, 30, 66, 31, 67)(73, 109, 75, 111, 83, 119, 101, 137, 94, 130, 78, 114)(74, 110, 79, 115, 95, 131, 85, 121, 102, 138, 81, 117)(76, 112, 87, 123, 104, 140, 96, 132, 97, 133, 89, 125)(77, 113, 90, 126, 105, 141, 92, 128, 103, 139, 82, 118)(80, 116, 98, 134, 88, 124, 106, 142, 108, 144, 100, 136)(84, 120, 86, 122, 107, 143, 91, 127, 93, 129, 99, 135)
	L = (1, 76)(2, 80)(3, 84)(4, 73)(5, 91)(6, 93)(7, 96)(8, 74)(9, 87)(10, 98)(11, 104)(12, 75)(13, 89)(14, 103)(15, 81)(16, 95)(17, 85)(18, 106)(19, 77)(20, 100)(21, 78)(22, 97)(23, 88)(24, 79)(25, 94)(26, 82)(27, 105)(28, 92)(29, 107)(30, 108)(31, 86)(32, 83)(33, 99)(34, 90)(35, 101)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.465
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^2, (Y2, Y3^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^-6, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 21, 57, 26, 62)(14, 50, 27, 63, 22, 58)(15, 51, 28, 64, 23, 59)(16, 52, 24, 60, 31, 67)(18, 54, 32, 68, 25, 61)(29, 65, 35, 71, 33, 69)(30, 66, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 101, 137, 88, 124, 78, 114)(74, 110, 80, 116, 93, 129, 105, 141, 96, 132, 82, 118)(76, 112, 86, 122, 79, 115, 87, 123, 102, 138, 90, 126)(77, 113, 84, 120, 98, 134, 107, 143, 103, 139, 91, 127)(81, 117, 94, 130, 83, 119, 95, 131, 106, 142, 97, 133)(89, 125, 99, 135, 92, 128, 100, 136, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 86)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 99)(13, 79)(14, 78)(15, 75)(16, 102)(17, 103)(18, 101)(19, 104)(20, 77)(21, 83)(22, 82)(23, 80)(24, 106)(25, 105)(26, 92)(27, 91)(28, 84)(29, 87)(30, 85)(31, 108)(32, 107)(33, 95)(34, 93)(35, 100)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.469
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.444 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2^-2, (R * Y3)^2, (Y1 * Y2^-1)^2, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, (Y3, Y2^-1), (Y2^-1 * Y3 * Y1^-1)^2, Y3^2 * Y2^-4, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y3^-2 * Y1^-1 * Y2^-1, Y3^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 10, 46)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 22, 58)(7, 43, 11, 47, 21, 57)(8, 44, 23, 59, 20, 56)(13, 49, 24, 60, 31, 67)(14, 50, 30, 66, 28, 64)(15, 51, 32, 68, 25, 61)(16, 52, 27, 63, 29, 65)(18, 54, 34, 70, 26, 62)(33, 69, 35, 71, 36, 72)(73, 109, 75, 111, 85, 121, 95, 131, 88, 124, 78, 114)(74, 110, 80, 116, 96, 132, 94, 130, 99, 135, 82, 118)(76, 112, 86, 122, 79, 115, 87, 123, 105, 141, 90, 126)(77, 113, 91, 127, 103, 139, 84, 120, 101, 137, 92, 128)(81, 117, 97, 133, 83, 119, 98, 134, 107, 143, 100, 136)(89, 125, 106, 142, 93, 129, 102, 138, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 86)(4, 88)(5, 89)(6, 90)(7, 73)(8, 97)(9, 99)(10, 100)(11, 74)(12, 102)(13, 79)(14, 78)(15, 75)(16, 105)(17, 101)(18, 95)(19, 106)(20, 104)(21, 77)(22, 98)(23, 87)(24, 83)(25, 82)(26, 80)(27, 107)(28, 94)(29, 108)(30, 91)(31, 93)(32, 84)(33, 85)(34, 92)(35, 96)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.458
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.445 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^3, (Y2 * Y1)^2, (Y3^-1, Y1), (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 6, 42)(4, 40, 9, 45, 14, 50)(7, 43, 10, 46, 16, 52)(11, 47, 19, 55, 17, 53)(12, 48, 20, 56, 15, 51)(13, 49, 21, 57, 26, 62)(18, 54, 22, 58, 28, 64)(23, 59, 30, 66, 29, 65)(24, 60, 31, 67, 27, 63)(25, 61, 32, 68, 34, 70)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 74, 110, 80, 116, 77, 113, 78, 114)(76, 112, 84, 120, 81, 117, 92, 128, 86, 122, 87, 123)(79, 115, 83, 119, 82, 118, 91, 127, 88, 124, 89, 125)(85, 121, 96, 132, 93, 129, 103, 139, 98, 134, 99, 135)(90, 126, 95, 131, 94, 130, 102, 138, 100, 136, 101, 137)(97, 133, 105, 141, 104, 140, 108, 144, 106, 142, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 85)(5, 86)(6, 89)(7, 73)(8, 91)(9, 93)(10, 74)(11, 95)(12, 75)(13, 97)(14, 98)(15, 78)(16, 77)(17, 101)(18, 79)(19, 102)(20, 80)(21, 104)(22, 82)(23, 105)(24, 84)(25, 90)(26, 106)(27, 87)(28, 88)(29, 107)(30, 108)(31, 92)(32, 94)(33, 96)(34, 100)(35, 99)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.468
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y1^-1, Y1 * Y2 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 8, 44)(4, 40, 7, 43, 10, 46)(6, 42, 16, 52, 9, 45)(12, 48, 19, 55, 23, 59)(13, 49, 14, 50, 20, 56)(15, 51, 21, 57, 17, 53)(18, 54, 22, 58, 28, 64)(24, 60, 33, 69, 30, 66)(25, 61, 26, 62, 31, 67)(27, 63, 29, 65, 32, 68)(34, 70, 35, 71, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 90, 126, 78, 114)(74, 110, 80, 116, 91, 127, 102, 138, 94, 130, 81, 117)(76, 112, 86, 122, 97, 133, 107, 143, 99, 135, 87, 123)(77, 113, 83, 119, 95, 131, 105, 141, 100, 136, 88, 124)(79, 115, 85, 121, 98, 134, 106, 142, 101, 137, 89, 125)(82, 118, 92, 128, 103, 139, 108, 144, 104, 140, 93, 129)
	L = (1, 76)(2, 79)(3, 85)(4, 77)(5, 82)(6, 89)(7, 73)(8, 92)(9, 93)(10, 74)(11, 86)(12, 97)(13, 80)(14, 75)(15, 78)(16, 87)(17, 81)(18, 99)(19, 98)(20, 83)(21, 88)(22, 101)(23, 103)(24, 106)(25, 95)(26, 84)(27, 100)(28, 104)(29, 90)(30, 108)(31, 91)(32, 94)(33, 107)(34, 102)(35, 96)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.461
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 18, 54)(6, 42, 22, 58, 8, 44)(7, 43, 11, 47, 21, 57)(10, 46, 29, 65, 20, 56)(13, 49, 26, 62, 17, 53)(14, 50, 32, 68, 34, 70)(16, 52, 27, 63, 23, 59)(19, 55, 30, 66, 28, 64)(24, 60, 25, 61, 31, 67)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 101, 137, 96, 132, 78, 114)(74, 110, 80, 116, 98, 134, 87, 123, 97, 133, 82, 118)(76, 112, 88, 124, 105, 141, 104, 140, 93, 129, 91, 127)(77, 113, 92, 128, 89, 125, 94, 130, 103, 139, 84, 120)(79, 115, 86, 122, 81, 117, 100, 136, 108, 144, 95, 131)(83, 119, 99, 135, 90, 126, 106, 142, 107, 143, 102, 138)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 95)(7, 73)(8, 99)(9, 85)(10, 102)(11, 74)(12, 104)(13, 105)(14, 82)(15, 106)(16, 75)(17, 107)(18, 98)(19, 78)(20, 91)(21, 77)(22, 88)(23, 87)(24, 93)(25, 79)(26, 108)(27, 84)(28, 80)(29, 100)(30, 94)(31, 83)(32, 101)(33, 103)(34, 92)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.472
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), (Y2 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R, Y3^-6, Y2^6, (Y3^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 18, 54)(6, 42, 22, 58, 8, 44)(7, 43, 11, 47, 21, 57)(10, 46, 31, 67, 20, 56)(13, 49, 26, 62, 25, 61)(14, 50, 28, 64, 19, 55)(16, 52, 32, 68, 34, 70)(17, 53, 29, 65, 24, 60)(23, 59, 30, 66, 27, 63)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 103, 139, 96, 132, 78, 114)(74, 110, 80, 116, 98, 134, 87, 123, 89, 125, 82, 118)(76, 112, 88, 124, 83, 119, 99, 135, 108, 144, 91, 127)(77, 113, 92, 128, 97, 133, 94, 130, 101, 137, 84, 120)(79, 115, 86, 122, 105, 141, 104, 140, 90, 126, 95, 131)(81, 117, 100, 136, 93, 129, 106, 142, 107, 143, 102, 138)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 95)(7, 73)(8, 99)(9, 101)(10, 88)(11, 74)(12, 100)(13, 83)(14, 94)(15, 91)(16, 75)(17, 107)(18, 96)(19, 78)(20, 106)(21, 77)(22, 102)(23, 92)(24, 108)(25, 79)(26, 93)(27, 103)(28, 80)(29, 105)(30, 82)(31, 104)(32, 84)(33, 85)(34, 87)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.456
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, Y1^3, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y3^-1), (Y2 * Y1^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 6, 42, 9, 45)(4, 40, 8, 44, 15, 51)(7, 43, 10, 46, 17, 53)(11, 47, 18, 54, 19, 55)(12, 48, 13, 49, 16, 52)(14, 50, 21, 57, 28, 64)(20, 56, 22, 58, 29, 65)(23, 59, 30, 66, 31, 67)(24, 60, 25, 61, 26, 62)(27, 63, 32, 68, 36, 72)(33, 69, 34, 70, 35, 71)(73, 109, 75, 111, 77, 113, 81, 117, 74, 110, 78, 114)(76, 112, 85, 121, 87, 123, 84, 120, 80, 116, 88, 124)(79, 115, 91, 127, 89, 125, 90, 126, 82, 118, 83, 119)(86, 122, 98, 134, 100, 136, 97, 133, 93, 129, 96, 132)(92, 128, 102, 138, 101, 137, 95, 131, 94, 130, 103, 139)(99, 135, 105, 141, 108, 144, 107, 143, 104, 140, 106, 142)
	L = (1, 76)(2, 80)(3, 83)(4, 86)(5, 87)(6, 90)(7, 73)(8, 93)(9, 91)(10, 74)(11, 95)(12, 75)(13, 78)(14, 99)(15, 100)(16, 81)(17, 77)(18, 102)(19, 103)(20, 79)(21, 104)(22, 82)(23, 105)(24, 84)(25, 85)(26, 88)(27, 92)(28, 108)(29, 89)(30, 106)(31, 107)(32, 94)(33, 96)(34, 97)(35, 98)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.457
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (Y3, Y1^-1), (R * Y1)^2, Y3^-2 * Y1^-1 * Y2^-2, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y3^2 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2^3, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^2 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 18, 54)(6, 42, 20, 56, 10, 46)(7, 43, 11, 47, 21, 57)(13, 49, 25, 61, 30, 66)(14, 50, 16, 52, 26, 62)(15, 51, 29, 65, 24, 60)(17, 53, 23, 59, 28, 64)(19, 55, 27, 63, 22, 58)(31, 67, 34, 70, 36, 72)(32, 68, 35, 71, 33, 69)(73, 109, 75, 111, 85, 121, 103, 139, 95, 131, 78, 114)(74, 110, 80, 116, 97, 133, 108, 144, 100, 136, 82, 118)(76, 112, 88, 124, 93, 129, 87, 123, 105, 141, 91, 127)(77, 113, 84, 120, 102, 138, 106, 142, 89, 125, 92, 128)(79, 115, 96, 132, 104, 140, 94, 130, 81, 117, 86, 122)(83, 119, 101, 137, 107, 143, 99, 135, 90, 126, 98, 134)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 94)(7, 73)(8, 98)(9, 95)(10, 99)(11, 74)(12, 88)(13, 93)(14, 82)(15, 75)(16, 78)(17, 107)(18, 100)(19, 103)(20, 91)(21, 77)(22, 108)(23, 105)(24, 80)(25, 79)(26, 92)(27, 106)(28, 104)(29, 84)(30, 83)(31, 96)(32, 85)(33, 102)(34, 87)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.471
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y3, Y1^-1), Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y1, R * Y2 * R * Y1 * Y2, Y3^-2 * Y2^-2 * Y1, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 18, 54)(6, 42, 20, 56, 10, 46)(7, 43, 11, 47, 21, 57)(13, 49, 26, 62, 25, 61)(14, 50, 28, 64, 16, 52)(15, 51, 24, 60, 27, 63)(17, 53, 29, 65, 23, 59)(19, 55, 22, 58, 30, 66)(31, 67, 36, 72, 34, 70)(32, 68, 33, 69, 35, 71)(73, 109, 75, 111, 85, 121, 103, 139, 95, 131, 78, 114)(74, 110, 80, 116, 98, 134, 106, 142, 89, 125, 82, 118)(76, 112, 88, 124, 83, 119, 87, 123, 105, 141, 91, 127)(77, 113, 84, 120, 97, 133, 108, 144, 101, 137, 92, 128)(79, 115, 96, 132, 104, 140, 94, 130, 90, 126, 86, 122)(81, 117, 100, 136, 93, 129, 99, 135, 107, 143, 102, 138)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 94)(7, 73)(8, 88)(9, 101)(10, 91)(11, 74)(12, 100)(13, 83)(14, 92)(15, 75)(16, 78)(17, 107)(18, 95)(19, 103)(20, 102)(21, 77)(22, 108)(23, 105)(24, 84)(25, 79)(26, 93)(27, 80)(28, 82)(29, 104)(30, 106)(31, 96)(32, 85)(33, 98)(34, 87)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.455
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2 * Y1, Y3^6, (Y3 * Y2^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 10, 46)(4, 40, 9, 45, 18, 54)(6, 42, 20, 56, 24, 60)(7, 43, 11, 47, 22, 58)(8, 44, 28, 64, 21, 57)(13, 49, 29, 65, 17, 53)(14, 50, 19, 55, 31, 67)(15, 51, 32, 68, 23, 59)(16, 52, 30, 66, 26, 62)(25, 61, 27, 63, 33, 69)(34, 70, 35, 71, 36, 72)(73, 109, 75, 111, 85, 121, 100, 136, 97, 133, 78, 114)(74, 110, 80, 116, 101, 137, 96, 132, 99, 135, 82, 118)(76, 112, 88, 124, 106, 142, 87, 123, 94, 130, 91, 127)(77, 113, 92, 128, 89, 125, 84, 120, 105, 141, 93, 129)(79, 115, 98, 134, 81, 117, 95, 131, 107, 143, 86, 122)(83, 119, 104, 140, 90, 126, 103, 139, 108, 144, 102, 138)
	L = (1, 76)(2, 81)(3, 86)(4, 89)(5, 90)(6, 95)(7, 73)(8, 102)(9, 85)(10, 103)(11, 74)(12, 91)(13, 106)(14, 80)(15, 75)(16, 78)(17, 108)(18, 101)(19, 100)(20, 87)(21, 88)(22, 77)(23, 82)(24, 104)(25, 94)(26, 96)(27, 79)(28, 98)(29, 107)(30, 92)(31, 93)(32, 84)(33, 83)(34, 105)(35, 97)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.460
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^2 * Y2^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-2 * Y2^-4, (Y3 * Y1^-1)^3, Y1 * Y2 * Y1 * Y3 * Y2 * Y1^2 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 18, 54, 16, 52, 5, 41)(3, 39, 8, 44, 19, 55, 17, 53, 6, 42, 10, 46)(4, 40, 12, 48, 20, 56, 33, 69, 28, 64, 13, 49)(9, 45, 22, 58, 31, 67, 27, 63, 15, 51, 23, 59)(11, 47, 25, 61, 32, 68, 29, 65, 14, 50, 26, 62)(21, 57, 34, 70, 30, 66, 36, 72, 24, 60, 35, 71)(73, 109, 75, 111, 79, 115, 91, 127, 88, 124, 78, 114)(74, 110, 80, 116, 90, 126, 89, 125, 77, 113, 82, 118)(76, 112, 83, 119, 92, 128, 104, 140, 100, 136, 86, 122)(81, 117, 93, 129, 103, 139, 102, 138, 87, 123, 96, 132)(84, 120, 97, 133, 105, 141, 101, 137, 85, 121, 98, 134)(94, 130, 106, 142, 99, 135, 108, 144, 95, 131, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 73)(5, 87)(6, 86)(7, 92)(8, 93)(9, 74)(10, 96)(11, 75)(12, 99)(13, 94)(14, 78)(15, 77)(16, 100)(17, 102)(18, 103)(19, 104)(20, 79)(21, 80)(22, 85)(23, 105)(24, 82)(25, 108)(26, 106)(27, 84)(28, 88)(29, 107)(30, 89)(31, 90)(32, 91)(33, 95)(34, 98)(35, 101)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.436
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2^-1)^2, Y2^6, (Y3 * Y1^-1)^3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 18, 54, 11, 47, 5, 41)(3, 39, 8, 44, 6, 42, 10, 46, 20, 56, 13, 49)(4, 40, 14, 50, 19, 55, 32, 68, 25, 61, 15, 51)(9, 45, 22, 58, 31, 67, 29, 65, 17, 53, 23, 59)(12, 48, 26, 62, 16, 52, 30, 66, 33, 69, 27, 63)(21, 57, 34, 70, 24, 60, 36, 72, 28, 64, 35, 71)(73, 109, 75, 111, 83, 119, 92, 128, 79, 115, 78, 114)(74, 110, 80, 116, 77, 113, 85, 121, 90, 126, 82, 118)(76, 112, 84, 120, 97, 133, 105, 141, 91, 127, 88, 124)(81, 117, 93, 129, 89, 125, 100, 136, 103, 139, 96, 132)(86, 122, 98, 134, 87, 123, 99, 135, 104, 140, 102, 138)(94, 130, 106, 142, 95, 131, 107, 143, 101, 137, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 89)(6, 88)(7, 91)(8, 93)(9, 74)(10, 96)(11, 97)(12, 75)(13, 100)(14, 101)(15, 94)(16, 78)(17, 77)(18, 103)(19, 79)(20, 105)(21, 80)(22, 87)(23, 104)(24, 82)(25, 83)(26, 108)(27, 106)(28, 85)(29, 86)(30, 107)(31, 90)(32, 95)(33, 92)(34, 99)(35, 102)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.437
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, (R * Y1)^2, Y2^2 * Y1^-2, (R * Y2)^2, Y3 * Y1^2 * Y3, (Y2, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^3, Y2^6, Y3 * Y2^-1 * Y1^-2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 16, 52, 5, 41)(3, 39, 9, 45, 23, 59, 20, 56, 6, 42, 11, 47)(4, 40, 15, 51, 7, 43, 21, 57, 24, 60, 17, 53)(10, 46, 27, 63, 12, 48, 30, 66, 19, 55, 28, 64)(13, 49, 31, 67, 14, 50, 33, 69, 18, 54, 32, 68)(25, 61, 34, 70, 26, 62, 36, 72, 29, 65, 35, 71)(73, 109, 75, 111, 80, 116, 95, 131, 88, 124, 78, 114)(74, 110, 81, 117, 94, 130, 92, 128, 77, 113, 83, 119)(76, 112, 85, 121, 79, 115, 86, 122, 96, 132, 90, 126)(82, 118, 97, 133, 84, 120, 98, 134, 91, 127, 101, 137)(87, 123, 103, 139, 93, 129, 105, 141, 89, 125, 104, 140)(99, 135, 106, 142, 102, 138, 108, 144, 100, 136, 107, 143)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 91)(6, 90)(7, 73)(8, 79)(9, 97)(10, 77)(11, 101)(12, 74)(13, 78)(14, 75)(15, 100)(16, 96)(17, 102)(18, 95)(19, 94)(20, 98)(21, 99)(22, 84)(23, 86)(24, 80)(25, 83)(26, 81)(27, 87)(28, 89)(29, 92)(30, 93)(31, 107)(32, 108)(33, 106)(34, 103)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.451
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^2, Y2^-2 * Y1^-2, (R * Y1)^2, Y3^2 * Y2^2, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1^-1), (Y2^-1 * Y3 * Y2^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y2^-2 * Y1^4, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 13, 49, 5, 41)(3, 39, 9, 45, 6, 42, 11, 47, 24, 60, 15, 51)(4, 40, 17, 53, 23, 59, 21, 57, 7, 43, 18, 54)(10, 46, 27, 63, 20, 56, 30, 66, 12, 48, 28, 64)(14, 50, 31, 67, 19, 55, 33, 69, 16, 52, 32, 68)(25, 61, 34, 70, 29, 65, 36, 72, 26, 62, 35, 71)(73, 109, 75, 111, 85, 121, 96, 132, 80, 116, 78, 114)(74, 110, 81, 117, 77, 113, 87, 123, 94, 130, 83, 119)(76, 112, 86, 122, 79, 115, 88, 124, 95, 131, 91, 127)(82, 118, 97, 133, 84, 120, 98, 134, 92, 128, 101, 137)(89, 125, 103, 139, 90, 126, 104, 140, 93, 129, 105, 141)(99, 135, 106, 142, 100, 136, 107, 143, 102, 138, 108, 144)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 91)(7, 73)(8, 95)(9, 97)(10, 94)(11, 101)(12, 74)(13, 79)(14, 78)(15, 98)(16, 75)(17, 99)(18, 100)(19, 96)(20, 77)(21, 102)(22, 92)(23, 85)(24, 88)(25, 83)(26, 81)(27, 93)(28, 89)(29, 87)(30, 90)(31, 106)(32, 107)(33, 108)(34, 105)(35, 103)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.448
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y1^6, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 14, 50, 12, 48, 4, 40)(3, 39, 8, 44, 15, 51, 25, 61, 21, 57, 10, 46)(5, 41, 7, 43, 16, 52, 24, 60, 23, 59, 11, 47)(9, 45, 18, 54, 26, 62, 33, 69, 30, 66, 20, 56)(13, 49, 17, 53, 27, 63, 32, 68, 31, 67, 22, 58)(19, 55, 28, 64, 34, 70, 36, 72, 35, 71, 29, 65)(73, 109, 75, 111, 81, 117, 91, 127, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 90, 126, 80, 116)(76, 112, 83, 119, 94, 130, 101, 137, 92, 128, 82, 118)(78, 114, 87, 123, 98, 134, 106, 142, 99, 135, 88, 124)(84, 120, 93, 129, 102, 138, 107, 143, 103, 139, 95, 131)(86, 122, 96, 132, 104, 140, 108, 144, 105, 141, 97, 133)
	L = (1, 74)(2, 78)(3, 80)(4, 73)(5, 79)(6, 86)(7, 88)(8, 87)(9, 90)(10, 75)(11, 77)(12, 76)(13, 89)(14, 84)(15, 97)(16, 96)(17, 99)(18, 98)(19, 100)(20, 81)(21, 82)(22, 85)(23, 83)(24, 95)(25, 93)(26, 105)(27, 104)(28, 106)(29, 91)(30, 92)(31, 94)(32, 103)(33, 102)(34, 108)(35, 101)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.449
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y2^-2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y3^2 * Y1^-2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 19, 55, 5, 41)(3, 39, 11, 47, 23, 59, 35, 71, 31, 67, 15, 51)(4, 40, 17, 53, 24, 60, 21, 57, 7, 43, 13, 49)(6, 42, 9, 45, 25, 61, 34, 70, 32, 68, 18, 54)(10, 46, 29, 65, 20, 56, 30, 66, 12, 48, 26, 62)(14, 50, 27, 63, 36, 72, 33, 69, 16, 52, 28, 64)(73, 109, 75, 111, 85, 121, 100, 136, 84, 120, 78, 114)(74, 110, 81, 117, 98, 134, 86, 122, 76, 112, 83, 119)(77, 113, 90, 126, 102, 138, 88, 124, 79, 115, 87, 123)(80, 116, 95, 131, 89, 125, 99, 135, 82, 118, 97, 133)(91, 127, 103, 139, 93, 129, 105, 141, 92, 128, 104, 140)(94, 130, 106, 142, 101, 137, 108, 144, 96, 132, 107, 143)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 83)(7, 73)(8, 96)(9, 99)(10, 94)(11, 97)(12, 74)(13, 98)(14, 95)(15, 78)(16, 75)(17, 101)(18, 100)(19, 79)(20, 77)(21, 102)(22, 92)(23, 108)(24, 91)(25, 107)(26, 89)(27, 106)(28, 81)(29, 93)(30, 85)(31, 88)(32, 87)(33, 90)(34, 105)(35, 104)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.444
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-2, (R * Y3)^2, Y3^-1 * Y2^2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-2 * Y3^4, Y3 * Y2^-2 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1)^3, (Y3 * Y1^-1)^3, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 11, 47, 23, 59, 35, 71, 31, 67, 15, 51)(4, 40, 13, 49, 7, 43, 21, 57, 25, 61, 18, 54)(6, 42, 9, 45, 24, 60, 34, 70, 33, 69, 19, 55)(10, 46, 26, 62, 12, 48, 30, 66, 20, 56, 29, 65)(14, 50, 27, 63, 16, 52, 28, 64, 36, 72, 32, 68)(73, 109, 75, 111, 85, 121, 99, 135, 82, 118, 78, 114)(74, 110, 81, 117, 98, 134, 88, 124, 79, 115, 83, 119)(76, 112, 87, 123, 77, 113, 91, 127, 101, 137, 86, 122)(80, 116, 95, 131, 93, 129, 100, 136, 84, 120, 96, 132)(89, 125, 103, 139, 90, 126, 104, 140, 92, 128, 105, 141)(94, 130, 106, 142, 102, 138, 108, 144, 97, 133, 107, 143)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 92)(6, 87)(7, 73)(8, 79)(9, 99)(10, 77)(11, 78)(12, 74)(13, 101)(14, 103)(15, 105)(16, 75)(17, 97)(18, 102)(19, 104)(20, 94)(21, 98)(22, 84)(23, 88)(24, 83)(25, 80)(26, 85)(27, 91)(28, 81)(29, 90)(30, 93)(31, 108)(32, 106)(33, 107)(34, 100)(35, 96)(36, 95)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.433
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y3 * Y2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y3^2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y2^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1^6, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 18, 54, 5, 41)(3, 39, 11, 47, 23, 59, 35, 71, 31, 67, 13, 49)(4, 40, 15, 51, 24, 60, 21, 57, 7, 43, 17, 53)(6, 42, 9, 45, 25, 61, 34, 70, 33, 69, 14, 50)(10, 46, 26, 62, 19, 55, 30, 66, 12, 48, 28, 64)(16, 52, 27, 63, 36, 72, 32, 68, 20, 56, 29, 65)(73, 109, 75, 111, 84, 120, 101, 137, 89, 125, 78, 114)(74, 110, 81, 117, 76, 112, 88, 124, 100, 136, 83, 119)(77, 113, 86, 122, 79, 115, 92, 128, 102, 138, 85, 121)(80, 116, 95, 131, 82, 118, 99, 135, 87, 123, 97, 133)(90, 126, 103, 139, 91, 127, 104, 140, 93, 129, 105, 141)(94, 130, 106, 142, 96, 132, 108, 144, 98, 134, 107, 143)
	L = (1, 76)(2, 82)(3, 81)(4, 80)(5, 84)(6, 88)(7, 73)(8, 96)(9, 95)(10, 94)(11, 99)(12, 74)(13, 101)(14, 75)(15, 98)(16, 97)(17, 100)(18, 79)(19, 77)(20, 78)(21, 102)(22, 91)(23, 106)(24, 90)(25, 108)(26, 93)(27, 107)(28, 87)(29, 83)(30, 89)(31, 86)(32, 85)(33, 92)(34, 103)(35, 104)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.452
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-2 * Y1^-1, Y2^2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4 * Y1^-2, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^6, (Y3 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 11, 47, 23, 59, 35, 71, 31, 67, 14, 50)(4, 40, 15, 51, 7, 43, 21, 57, 25, 61, 18, 54)(6, 42, 9, 45, 24, 60, 34, 70, 32, 68, 13, 49)(10, 46, 26, 62, 12, 48, 30, 66, 19, 55, 28, 64)(16, 52, 27, 63, 20, 56, 29, 65, 36, 72, 33, 69)(73, 109, 75, 111, 82, 118, 99, 135, 87, 123, 78, 114)(74, 110, 81, 117, 79, 115, 92, 128, 98, 134, 83, 119)(76, 112, 88, 124, 100, 136, 86, 122, 77, 113, 85, 121)(80, 116, 95, 131, 84, 120, 101, 137, 93, 129, 96, 132)(89, 125, 103, 139, 91, 127, 105, 141, 90, 126, 104, 140)(94, 130, 106, 142, 97, 133, 108, 144, 102, 138, 107, 143)
	L = (1, 76)(2, 82)(3, 85)(4, 89)(5, 91)(6, 88)(7, 73)(8, 79)(9, 75)(10, 77)(11, 99)(12, 74)(13, 103)(14, 105)(15, 100)(16, 104)(17, 97)(18, 102)(19, 94)(20, 78)(21, 98)(22, 84)(23, 81)(24, 92)(25, 80)(26, 87)(27, 86)(28, 90)(29, 83)(30, 93)(31, 106)(32, 108)(33, 107)(34, 95)(35, 101)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.446
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y3 * Y1^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 11, 47, 17, 53, 13, 49, 21, 57, 10, 46)(6, 42, 15, 51, 18, 54, 8, 44, 19, 55, 14, 50)(12, 48, 24, 60, 28, 64, 22, 58, 32, 68, 23, 59)(16, 52, 26, 62, 29, 65, 27, 63, 30, 66, 20, 56)(25, 61, 31, 67, 35, 71, 33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 97, 133, 88, 124, 78, 114)(74, 110, 80, 116, 92, 128, 103, 139, 94, 130, 82, 118)(76, 112, 86, 122, 98, 134, 105, 141, 95, 131, 83, 119)(77, 113, 87, 123, 99, 135, 106, 142, 96, 132, 85, 121)(79, 115, 89, 125, 100, 136, 107, 143, 101, 137, 90, 126)(81, 117, 93, 129, 104, 140, 108, 144, 102, 138, 91, 127)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 79)(6, 80)(7, 77)(8, 78)(9, 74)(10, 89)(11, 93)(12, 94)(13, 75)(14, 90)(15, 91)(16, 99)(17, 82)(18, 86)(19, 87)(20, 101)(21, 83)(22, 84)(23, 100)(24, 104)(25, 105)(26, 102)(27, 88)(28, 95)(29, 92)(30, 98)(31, 108)(32, 96)(33, 97)(34, 107)(35, 106)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.438
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, Y2^-1 * Y1 * Y2^-1 * Y3, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1 * Y3, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 11, 47, 17, 53, 10, 46, 21, 57, 13, 49)(6, 42, 14, 50, 18, 54, 15, 51, 20, 56, 8, 44)(12, 48, 24, 60, 28, 64, 23, 59, 32, 68, 22, 58)(16, 52, 27, 63, 29, 65, 19, 55, 30, 66, 26, 62)(25, 61, 31, 67, 35, 71, 34, 70, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 97, 133, 88, 124, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 94, 130, 82, 118)(76, 112, 86, 122, 98, 134, 106, 142, 96, 132, 85, 121)(77, 113, 87, 123, 99, 135, 105, 141, 95, 131, 83, 119)(79, 115, 89, 125, 100, 136, 107, 143, 101, 137, 90, 126)(81, 117, 93, 129, 104, 140, 108, 144, 102, 138, 92, 128)
	L = (1, 76)(2, 81)(3, 82)(4, 73)(5, 79)(6, 87)(7, 77)(8, 90)(9, 74)(10, 75)(11, 93)(12, 95)(13, 89)(14, 92)(15, 78)(16, 91)(17, 85)(18, 80)(19, 88)(20, 86)(21, 83)(22, 100)(23, 84)(24, 104)(25, 106)(26, 101)(27, 102)(28, 94)(29, 98)(30, 99)(31, 108)(32, 96)(33, 107)(34, 97)(35, 105)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.439
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^-1 * Y2^-2, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y2^-2 * Y1^-2, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1, Y2^3 * Y3 * Y2^-1 * Y1, Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1, Y2^-1 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3)^2, Y1^-1 * R * Y2^-1 * R * Y2 * Y1^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 19, 55, 5, 41)(3, 39, 11, 47, 22, 58, 15, 51, 30, 66, 10, 46)(4, 40, 14, 50, 23, 59, 36, 72, 31, 67, 12, 48)(6, 42, 17, 53, 24, 60, 8, 44, 25, 61, 20, 56)(9, 45, 28, 64, 34, 70, 32, 68, 18, 54, 26, 62)(13, 49, 27, 63, 35, 71, 33, 69, 16, 52, 29, 65)(73, 109, 75, 111, 84, 120, 101, 137, 81, 117, 78, 114)(74, 110, 80, 116, 98, 134, 85, 121, 95, 131, 82, 118)(76, 112, 87, 123, 77, 113, 89, 125, 104, 140, 88, 124)(79, 115, 94, 130, 86, 122, 99, 135, 106, 142, 96, 132)(83, 119, 93, 129, 92, 128, 100, 136, 107, 143, 103, 139)(90, 126, 97, 133, 91, 127, 102, 138, 108, 144, 105, 141)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 90)(6, 83)(7, 95)(8, 99)(9, 74)(10, 97)(11, 78)(12, 100)(13, 75)(14, 104)(15, 96)(16, 102)(17, 101)(18, 77)(19, 103)(20, 105)(21, 106)(22, 107)(23, 79)(24, 87)(25, 82)(26, 108)(27, 80)(28, 84)(29, 89)(30, 88)(31, 91)(32, 86)(33, 92)(34, 93)(35, 94)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.434
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y3 * Y2^2, (R * Y1)^2, (R * Y3)^2, Y2 * R * Y1 * Y2^-1 * Y3 * R, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, Y1^-2 * R * Y2 * R * Y2^-1, Y2^-1 * R * Y2 * R * Y1^-2, Y3 * Y1 * Y2^4, Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 19, 55, 5, 41)(3, 39, 11, 47, 22, 58, 10, 46, 30, 66, 14, 50)(4, 40, 12, 48, 23, 59, 35, 71, 31, 67, 15, 51)(6, 42, 20, 56, 24, 60, 17, 53, 27, 63, 8, 44)(9, 45, 25, 61, 34, 70, 32, 68, 18, 54, 28, 64)(13, 49, 26, 62, 16, 52, 29, 65, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 98, 134, 90, 126, 78, 114)(74, 110, 80, 116, 97, 133, 88, 124, 76, 112, 82, 118)(77, 113, 89, 125, 100, 136, 85, 121, 103, 139, 83, 119)(79, 115, 94, 130, 107, 143, 101, 137, 81, 117, 96, 132)(86, 122, 93, 129, 92, 128, 104, 140, 108, 144, 95, 131)(87, 123, 105, 141, 106, 142, 99, 135, 91, 127, 102, 138)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 90)(6, 86)(7, 95)(8, 98)(9, 74)(10, 99)(11, 96)(12, 104)(13, 75)(14, 78)(15, 97)(16, 94)(17, 105)(18, 77)(19, 103)(20, 101)(21, 106)(22, 88)(23, 79)(24, 83)(25, 87)(26, 80)(27, 82)(28, 107)(29, 92)(30, 108)(31, 91)(32, 84)(33, 89)(34, 93)(35, 100)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.442
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1)^2, Y2 * Y3 * Y1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y1^-2 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2, Y2 * Y1 * Y2 * Y1^-3, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1^3, Y1^6, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 18, 54, 5, 41)(3, 39, 11, 47, 22, 58, 19, 55, 26, 62, 10, 46)(4, 40, 14, 50, 23, 59, 35, 71, 32, 68, 16, 52)(6, 42, 17, 53, 24, 60, 8, 44, 25, 61, 13, 49)(9, 45, 27, 63, 34, 70, 31, 67, 12, 48, 29, 65)(15, 51, 28, 64, 36, 72, 33, 69, 20, 56, 30, 66)(73, 109, 75, 111, 84, 120, 102, 138, 86, 122, 78, 114)(74, 110, 80, 116, 76, 112, 87, 123, 99, 135, 82, 118)(77, 113, 89, 125, 104, 140, 92, 128, 101, 137, 91, 127)(79, 115, 94, 130, 81, 117, 100, 136, 107, 143, 96, 132)(83, 119, 93, 129, 85, 121, 95, 131, 108, 144, 103, 139)(88, 124, 97, 133, 90, 126, 98, 134, 106, 142, 105, 141)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 84)(6, 92)(7, 95)(8, 98)(9, 74)(10, 102)(11, 100)(12, 77)(13, 75)(14, 103)(15, 96)(16, 99)(17, 94)(18, 104)(19, 105)(20, 78)(21, 106)(22, 89)(23, 79)(24, 87)(25, 108)(26, 80)(27, 88)(28, 83)(29, 107)(30, 82)(31, 86)(32, 90)(33, 91)(34, 93)(35, 101)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.440
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1 * Y3 * Y2^-1, (Y1 * Y2)^2, (R * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^3 * Y1^-1, Y1^-1 * R * Y1 * Y2 * R * Y2^-1, Y1^6, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 19, 55, 5, 41)(3, 39, 11, 47, 22, 58, 10, 46, 25, 61, 13, 49)(4, 40, 14, 50, 23, 59, 35, 71, 32, 68, 16, 52)(6, 42, 12, 48, 24, 60, 17, 53, 26, 62, 8, 44)(9, 45, 27, 63, 34, 70, 31, 67, 18, 54, 29, 65)(15, 51, 28, 64, 20, 56, 30, 66, 36, 72, 33, 69)(73, 109, 75, 111, 81, 117, 100, 136, 88, 124, 78, 114)(74, 110, 80, 116, 95, 131, 92, 128, 101, 137, 82, 118)(76, 112, 87, 123, 103, 139, 83, 119, 77, 113, 89, 125)(79, 115, 94, 130, 106, 142, 102, 138, 86, 122, 96, 132)(84, 120, 104, 140, 108, 144, 99, 135, 85, 121, 93, 129)(90, 126, 105, 141, 107, 143, 98, 134, 91, 127, 97, 133)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 90)(6, 92)(7, 95)(8, 97)(9, 74)(10, 102)(11, 100)(12, 75)(13, 105)(14, 103)(15, 98)(16, 99)(17, 94)(18, 77)(19, 104)(20, 78)(21, 106)(22, 89)(23, 79)(24, 108)(25, 80)(26, 87)(27, 88)(28, 83)(29, 107)(30, 82)(31, 86)(32, 91)(33, 85)(34, 93)(35, 101)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.441
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y3^-1 * Y1, Y1 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^3, Y2^6, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3 * Y2 * Y1^2 * Y2^-2 * Y1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 16, 52, 13, 49, 4, 40)(3, 39, 9, 45, 17, 53, 8, 44, 21, 57, 11, 47)(5, 41, 14, 50, 18, 54, 12, 48, 20, 56, 7, 43)(10, 46, 24, 60, 28, 64, 23, 59, 32, 68, 22, 58)(15, 51, 26, 62, 29, 65, 19, 55, 30, 66, 27, 63)(25, 61, 31, 67, 35, 71, 34, 70, 36, 72, 33, 69)(73, 109, 75, 111, 82, 118, 97, 133, 87, 123, 77, 113)(74, 110, 79, 115, 91, 127, 103, 139, 94, 130, 80, 116)(76, 112, 84, 120, 98, 134, 105, 141, 95, 131, 81, 117)(78, 114, 89, 125, 100, 136, 107, 143, 101, 137, 90, 126)(83, 119, 88, 124, 86, 122, 99, 135, 106, 142, 96, 132)(85, 121, 93, 129, 104, 140, 108, 144, 102, 138, 92, 128)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 77)(8, 93)(9, 89)(10, 96)(11, 75)(12, 92)(13, 76)(14, 90)(15, 98)(16, 85)(17, 80)(18, 84)(19, 102)(20, 79)(21, 83)(22, 82)(23, 104)(24, 100)(25, 103)(26, 101)(27, 87)(28, 95)(29, 91)(30, 99)(31, 107)(32, 94)(33, 97)(34, 108)(35, 106)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.445
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y3 * Y2^2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y1 * Y2 * Y1^-3, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, (Y3^-1 * Y1)^3, (Y3 * Y1)^3, Y1^-1 * Y2^-3 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-2 * Y1^4, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 25, 61, 18, 54, 5, 41)(3, 39, 13, 49, 26, 62, 23, 59, 36, 72, 11, 47)(4, 40, 17, 53, 7, 43, 14, 50, 28, 64, 19, 55)(6, 42, 21, 57, 27, 63, 9, 45, 29, 65, 24, 60)(10, 46, 33, 69, 12, 48, 30, 66, 22, 58, 34, 70)(15, 51, 31, 67, 16, 52, 32, 68, 20, 56, 35, 71)(73, 109, 75, 111, 86, 122, 104, 140, 94, 130, 78, 114)(74, 110, 81, 117, 102, 138, 92, 128, 76, 112, 83, 119)(77, 113, 93, 129, 105, 141, 88, 124, 100, 136, 95, 131)(79, 115, 85, 121, 97, 133, 96, 132, 106, 142, 87, 123)(80, 116, 98, 134, 91, 127, 107, 143, 82, 118, 99, 135)(84, 120, 101, 137, 90, 126, 108, 144, 89, 125, 103, 139)
	L = (1, 76)(2, 82)(3, 87)(4, 90)(5, 94)(6, 95)(7, 73)(8, 79)(9, 103)(10, 77)(11, 78)(12, 74)(13, 99)(14, 105)(15, 108)(16, 75)(17, 106)(18, 100)(19, 102)(20, 98)(21, 107)(22, 97)(23, 101)(24, 104)(25, 84)(26, 88)(27, 83)(28, 80)(29, 85)(30, 86)(31, 93)(32, 81)(33, 89)(34, 91)(35, 96)(36, 92)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.443
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3 * Y2 * Y1^-1, Y2^2 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-2 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y2^4, Y3^-1 * Y2 * Y3^-3 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1^3, Y2 * Y3^2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-2, Y2 * Y1^-1 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 25, 61, 22, 58, 5, 41)(3, 39, 13, 49, 26, 62, 11, 47, 36, 72, 16, 52)(4, 40, 18, 54, 27, 63, 14, 50, 7, 43, 19, 55)(6, 42, 24, 60, 28, 64, 21, 57, 31, 67, 9, 45)(10, 46, 33, 69, 23, 59, 29, 65, 12, 48, 34, 70)(15, 51, 30, 66, 20, 56, 35, 71, 17, 53, 32, 68)(73, 109, 75, 111, 86, 122, 107, 143, 82, 118, 78, 114)(74, 110, 81, 117, 101, 137, 89, 125, 99, 135, 83, 119)(76, 112, 85, 121, 77, 113, 93, 129, 105, 141, 92, 128)(79, 115, 88, 124, 97, 133, 96, 132, 106, 142, 87, 123)(80, 116, 98, 134, 91, 127, 104, 140, 95, 131, 100, 136)(84, 120, 103, 139, 94, 130, 108, 144, 90, 126, 102, 138)
	L = (1, 76)(2, 82)(3, 87)(4, 80)(5, 84)(6, 83)(7, 73)(8, 99)(9, 102)(10, 97)(11, 100)(12, 74)(13, 78)(14, 101)(15, 98)(16, 103)(17, 75)(18, 105)(19, 106)(20, 108)(21, 104)(22, 79)(23, 77)(24, 107)(25, 95)(26, 92)(27, 94)(28, 88)(29, 91)(30, 96)(31, 85)(32, 81)(33, 86)(34, 90)(35, 93)(36, 89)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.435
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1 * Y2)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, Y2^-2 * Y1 * Y3^-1, Y1^-2 * Y3^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y1^-2 * Y3^2 * Y1^-2, (Y1 * Y3^-1)^3, Y2^-1 * Y3 * Y2^3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^2, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3^2 * Y2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 25, 61, 17, 53, 5, 41)(3, 39, 13, 49, 26, 62, 21, 57, 33, 69, 11, 47)(4, 40, 15, 51, 7, 43, 23, 59, 28, 64, 18, 54)(6, 42, 14, 50, 27, 63, 9, 45, 29, 65, 19, 55)(10, 46, 30, 66, 12, 48, 35, 71, 20, 56, 32, 68)(16, 52, 31, 67, 24, 60, 36, 72, 22, 58, 34, 70)(73, 109, 75, 111, 84, 120, 108, 144, 90, 126, 78, 114)(74, 110, 81, 117, 100, 136, 94, 130, 104, 140, 83, 119)(76, 112, 88, 124, 102, 138, 85, 121, 97, 133, 91, 127)(77, 113, 86, 122, 79, 115, 96, 132, 107, 143, 93, 129)(80, 116, 98, 134, 92, 128, 106, 142, 87, 123, 99, 135)(82, 118, 103, 139, 95, 131, 101, 137, 89, 125, 105, 141)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 92)(6, 94)(7, 73)(8, 79)(9, 75)(10, 77)(11, 106)(12, 74)(13, 103)(14, 105)(15, 104)(16, 78)(17, 100)(18, 107)(19, 98)(20, 97)(21, 108)(22, 101)(23, 102)(24, 99)(25, 84)(26, 81)(27, 88)(28, 80)(29, 96)(30, 87)(31, 83)(32, 90)(33, 91)(34, 93)(35, 95)(36, 85)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.450
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, (Y1 * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-2, (R * Y1)^2, Y3^6, Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y3^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, Y2^-1 * Y3 * Y2^3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 25, 61, 21, 57, 5, 41)(3, 39, 13, 49, 26, 62, 11, 47, 33, 69, 15, 51)(4, 40, 17, 53, 27, 63, 24, 60, 7, 43, 19, 55)(6, 42, 20, 56, 28, 64, 16, 52, 29, 65, 9, 45)(10, 46, 30, 66, 14, 50, 36, 72, 12, 48, 32, 68)(18, 54, 31, 67, 22, 58, 34, 70, 23, 59, 35, 71)(73, 109, 75, 111, 86, 122, 106, 142, 89, 125, 78, 114)(74, 110, 81, 117, 79, 115, 95, 131, 102, 138, 83, 119)(76, 112, 90, 126, 108, 144, 87, 123, 97, 133, 92, 128)(77, 113, 88, 124, 99, 135, 94, 130, 104, 140, 85, 121)(80, 116, 98, 134, 84, 120, 107, 143, 96, 132, 100, 136)(82, 118, 103, 139, 91, 127, 101, 137, 93, 129, 105, 141)
	L = (1, 76)(2, 82)(3, 81)(4, 80)(5, 84)(6, 94)(7, 73)(8, 99)(9, 98)(10, 97)(11, 106)(12, 74)(13, 103)(14, 77)(15, 107)(16, 75)(17, 102)(18, 78)(19, 104)(20, 105)(21, 79)(22, 100)(23, 101)(24, 108)(25, 86)(26, 92)(27, 93)(28, 95)(29, 90)(30, 96)(31, 83)(32, 89)(33, 88)(34, 87)(35, 85)(36, 91)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.447
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (R * Y3)^2, (R * Y1)^2, (Y2 * R)^2, Y2^-1 * Y3 * Y2 * Y3, Y3 * Y2^-2 * Y3 * Y1^-2, Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y1^6, (Y2 * Y3 * Y1)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 12, 48, 5, 41)(3, 39, 11, 47, 6, 42, 20, 56, 23, 59, 14, 50)(4, 40, 15, 51, 22, 58, 35, 71, 32, 68, 16, 52)(8, 44, 24, 60, 10, 46, 30, 66, 18, 54, 26, 62)(9, 45, 27, 63, 34, 70, 31, 67, 19, 55, 28, 64)(13, 49, 25, 61, 17, 53, 29, 65, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 95, 131, 79, 115, 78, 114)(74, 110, 80, 116, 77, 113, 90, 126, 93, 129, 82, 118)(76, 112, 85, 121, 104, 140, 108, 144, 94, 130, 89, 125)(81, 117, 97, 133, 91, 127, 105, 141, 106, 142, 101, 137)(83, 119, 99, 135, 86, 122, 100, 136, 92, 128, 103, 139)(87, 123, 102, 138, 88, 124, 96, 132, 107, 143, 98, 134)
	L = (1, 76)(2, 81)(3, 85)(4, 73)(5, 91)(6, 89)(7, 94)(8, 97)(9, 74)(10, 101)(11, 102)(12, 104)(13, 75)(14, 96)(15, 103)(16, 99)(17, 78)(18, 105)(19, 77)(20, 98)(21, 106)(22, 79)(23, 108)(24, 86)(25, 80)(26, 92)(27, 88)(28, 107)(29, 82)(30, 83)(31, 87)(32, 84)(33, 90)(34, 93)(35, 100)(36, 95)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.431
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x S3 (small group id <36, 12>)
Aut   = C2 x S3 x S3 (small group id <72, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, Y2^2 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y3, (Y1 * Y3)^3, (R * Y2 * Y3)^2, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 11, 47, 6, 42, 12, 48, 15, 51, 13, 49)(8, 44, 16, 52, 10, 46, 17, 53, 14, 50, 18, 54)(19, 55, 25, 61, 20, 56, 26, 62, 21, 57, 27, 63)(22, 58, 28, 64, 23, 59, 29, 65, 24, 60, 30, 66)(31, 67, 34, 70, 32, 68, 35, 71, 33, 69, 36, 72)(73, 109, 75, 111, 81, 117, 87, 123, 79, 115, 78, 114)(74, 110, 80, 116, 77, 113, 86, 122, 76, 112, 82, 118)(83, 119, 91, 127, 85, 121, 93, 129, 84, 120, 92, 128)(88, 124, 94, 130, 90, 126, 96, 132, 89, 125, 95, 131)(97, 133, 103, 139, 99, 135, 105, 141, 98, 134, 104, 140)(100, 136, 106, 142, 102, 138, 108, 144, 101, 137, 107, 143)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 79)(6, 85)(7, 77)(8, 89)(9, 74)(10, 90)(11, 87)(12, 75)(13, 78)(14, 88)(15, 83)(16, 86)(17, 80)(18, 82)(19, 98)(20, 99)(21, 97)(22, 101)(23, 102)(24, 100)(25, 93)(26, 91)(27, 92)(28, 96)(29, 94)(30, 95)(31, 107)(32, 108)(33, 106)(34, 105)(35, 103)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.432
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1, Y1^-1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 7, 43, 12, 48)(4, 40, 8, 44, 13, 49)(6, 42, 9, 45, 15, 51)(10, 46, 17, 53, 23, 59)(11, 47, 18, 54, 24, 60)(14, 50, 19, 55, 25, 61)(16, 52, 20, 56, 27, 63)(21, 57, 28, 64, 32, 68)(22, 58, 29, 65, 33, 69)(26, 62, 30, 66, 34, 70)(31, 67, 35, 71, 36, 72)(73, 109, 75, 111, 82, 118, 93, 129, 88, 124, 78, 114)(74, 110, 79, 115, 89, 125, 100, 136, 92, 128, 81, 117)(76, 112, 83, 119, 94, 130, 103, 139, 98, 134, 86, 122)(77, 113, 84, 120, 95, 131, 104, 140, 99, 135, 87, 123)(80, 116, 90, 126, 101, 137, 107, 143, 102, 138, 91, 127)(85, 121, 96, 132, 105, 141, 108, 144, 106, 142, 97, 133)
	L = (1, 76)(2, 80)(3, 83)(4, 73)(5, 85)(6, 86)(7, 90)(8, 74)(9, 91)(10, 94)(11, 75)(12, 96)(13, 77)(14, 78)(15, 97)(16, 98)(17, 101)(18, 79)(19, 81)(20, 102)(21, 103)(22, 82)(23, 105)(24, 84)(25, 87)(26, 88)(27, 106)(28, 107)(29, 89)(30, 92)(31, 93)(32, 108)(33, 95)(34, 99)(35, 100)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.478
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^2 * Y2^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (Y3, Y2), (Y3^-1, Y1^-1), (R * Y2)^2, Y3^-6, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 21, 57, 27, 63)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(16, 52, 24, 60, 31, 67)(18, 54, 25, 61, 32, 68)(26, 62, 33, 69, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 98, 134, 88, 124, 78, 114)(74, 110, 80, 116, 93, 129, 105, 141, 96, 132, 82, 118)(76, 112, 85, 121, 79, 115, 87, 123, 100, 136, 90, 126)(77, 113, 86, 122, 99, 135, 107, 143, 103, 139, 91, 127)(81, 117, 94, 130, 83, 119, 95, 131, 106, 142, 97, 133)(89, 125, 101, 137, 92, 128, 102, 138, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 79)(13, 78)(14, 101)(15, 75)(16, 100)(17, 103)(18, 98)(19, 104)(20, 77)(21, 83)(22, 82)(23, 80)(24, 106)(25, 105)(26, 87)(27, 92)(28, 84)(29, 91)(30, 86)(31, 108)(32, 107)(33, 95)(34, 93)(35, 102)(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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.479
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1, Y1^3, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^6, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 7, 43, 10, 46)(6, 42, 9, 45, 16, 52)(11, 47, 19, 55, 25, 61)(12, 48, 14, 50, 20, 56)(15, 51, 18, 54, 22, 58)(17, 53, 21, 57, 28, 64)(23, 59, 30, 66, 34, 70)(24, 60, 26, 62, 31, 67)(27, 63, 29, 65, 32, 68)(33, 69, 35, 71, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 89, 125, 78, 114)(74, 110, 80, 116, 91, 127, 102, 138, 93, 129, 81, 117)(76, 112, 84, 120, 96, 132, 105, 141, 99, 135, 87, 123)(77, 113, 85, 121, 97, 133, 106, 142, 100, 136, 88, 124)(79, 115, 86, 122, 98, 134, 107, 143, 101, 137, 90, 126)(82, 118, 92, 128, 103, 139, 108, 144, 104, 140, 94, 130)
	L = (1, 76)(2, 79)(3, 84)(4, 77)(5, 82)(6, 87)(7, 73)(8, 86)(9, 90)(10, 74)(11, 96)(12, 85)(13, 92)(14, 75)(15, 88)(16, 94)(17, 99)(18, 78)(19, 98)(20, 80)(21, 101)(22, 81)(23, 105)(24, 97)(25, 103)(26, 83)(27, 100)(28, 104)(29, 89)(30, 107)(31, 91)(32, 93)(33, 106)(34, 108)(35, 95)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.480
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 5, 41)(3, 39, 8, 44, 17, 53, 12, 48, 20, 56, 13, 49)(6, 42, 10, 46, 18, 54, 14, 50, 21, 57, 15, 51)(11, 47, 19, 55, 28, 64, 24, 60, 31, 67, 25, 61)(16, 52, 22, 58, 29, 65, 26, 62, 32, 68, 27, 63)(23, 59, 30, 66, 35, 71, 33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 83, 119, 95, 131, 88, 124, 78, 114)(74, 110, 80, 116, 91, 127, 102, 138, 94, 130, 82, 118)(76, 112, 84, 120, 96, 132, 105, 141, 98, 134, 86, 122)(77, 113, 85, 121, 97, 133, 106, 142, 99, 135, 87, 123)(79, 115, 89, 125, 100, 136, 107, 143, 101, 137, 90, 126)(81, 117, 92, 128, 103, 139, 108, 144, 104, 140, 93, 129)
	L = (1, 76)(2, 81)(3, 84)(4, 73)(5, 79)(6, 86)(7, 77)(8, 92)(9, 74)(10, 93)(11, 96)(12, 75)(13, 89)(14, 78)(15, 90)(16, 98)(17, 85)(18, 87)(19, 103)(20, 80)(21, 82)(22, 104)(23, 105)(24, 83)(25, 100)(26, 88)(27, 101)(28, 97)(29, 99)(30, 108)(31, 91)(32, 94)(33, 95)(34, 107)(35, 106)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.475
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, (Y3^-1, Y1), (Y1, Y2^-1), Y2^-2 * Y3^-2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-3 * Y1^3, Y3 * Y2^-2 * Y1^3, (Y3^-1 * Y2^2)^2, Y1^6, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 20, 56, 5, 41)(3, 39, 9, 45, 24, 60, 19, 55, 32, 68, 15, 51)(4, 40, 10, 46, 25, 61, 13, 49, 28, 64, 18, 54)(6, 42, 11, 47, 26, 62, 16, 52, 30, 66, 21, 57)(7, 43, 12, 48, 27, 63, 17, 53, 31, 67, 22, 58)(14, 50, 29, 65, 35, 71, 33, 69, 36, 72, 34, 70)(73, 109, 75, 111, 85, 121, 105, 141, 89, 125, 78, 114)(74, 110, 81, 117, 100, 136, 108, 144, 103, 139, 83, 119)(76, 112, 86, 122, 79, 115, 88, 124, 95, 131, 91, 127)(77, 113, 87, 123, 97, 133, 107, 143, 99, 135, 93, 129)(80, 116, 96, 132, 90, 126, 106, 142, 94, 130, 98, 134)(82, 118, 101, 137, 84, 120, 102, 138, 92, 128, 104, 140)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 97)(9, 101)(10, 103)(11, 104)(12, 74)(13, 79)(14, 78)(15, 106)(16, 75)(17, 95)(18, 99)(19, 105)(20, 100)(21, 96)(22, 77)(23, 85)(24, 107)(25, 94)(26, 87)(27, 80)(28, 84)(29, 83)(30, 81)(31, 92)(32, 108)(33, 88)(34, 93)(35, 98)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.476
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.480 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6, 6})
Quotient :: dipole
Aut^+ = C6 x C6 (small group id <36, 14>)
Aut   = C2 x C2 x ((C3 x C3) : C2) (small group id <72, 49>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y2^6, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 14, 50, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 24, 60, 21, 57, 10, 46)(5, 41, 8, 44, 16, 52, 25, 61, 22, 58, 12, 48)(9, 45, 17, 53, 26, 62, 32, 68, 30, 66, 20, 56)(13, 49, 18, 54, 27, 63, 33, 69, 31, 67, 23, 59)(19, 55, 28, 64, 34, 70, 36, 72, 35, 71, 29, 65)(73, 109, 75, 111, 81, 117, 91, 127, 85, 121, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 90, 126, 80, 116)(76, 112, 82, 118, 92, 128, 101, 137, 95, 131, 84, 120)(78, 114, 87, 123, 98, 134, 106, 142, 99, 135, 88, 124)(83, 119, 93, 129, 102, 138, 107, 143, 103, 139, 94, 130)(86, 122, 96, 132, 104, 140, 108, 144, 105, 141, 97, 133)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 86)(7, 87)(8, 88)(9, 89)(10, 75)(11, 76)(12, 77)(13, 90)(14, 83)(15, 96)(16, 97)(17, 98)(18, 99)(19, 100)(20, 81)(21, 82)(22, 84)(23, 85)(24, 93)(25, 94)(26, 104)(27, 105)(28, 106)(29, 91)(30, 92)(31, 95)(32, 102)(33, 103)(34, 108)(35, 101)(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) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.477
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.481 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 9, 9, 9})
Quotient :: edge^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1 * Y3^-1, R * Y1 * R * Y2, (Y1^-1 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y1^9, Y2^9, Y3^9 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 15, 51, 26, 62, 27, 63, 30, 66, 36, 72, 25, 61, 7, 43)(2, 38, 6, 42, 16, 52, 33, 69, 12, 48, 32, 68, 20, 56, 31, 67, 11, 47)(3, 39, 13, 49, 17, 53, 29, 65, 9, 45, 18, 54, 23, 59, 34, 70, 14, 50)(5, 41, 19, 55, 28, 64, 8, 44, 10, 46, 22, 58, 35, 71, 24, 60, 21, 57)(73, 74, 80, 98, 105, 107, 108, 92, 77)(75, 79, 96, 101, 87, 91, 95, 102, 82)(76, 85, 104, 99, 81, 83, 97, 106, 88)(78, 90, 93, 84, 86, 100, 103, 89, 94)(109, 111, 120, 134, 137, 139, 144, 131, 114)(110, 117, 132, 141, 142, 127, 128, 121, 118)(112, 113, 126, 135, 116, 122, 133, 143, 125)(115, 119, 136, 123, 124, 130, 138, 140, 129)
	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) :: { ( 8^9 ), ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E22.484
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 9^8, 18^4 ]

E22.482 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 9, 9, 9})
Quotient :: edge^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, Y2^9, Y1^9, (Y1^-1 * Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 3, 39)(2, 38, 6, 42)(4, 40, 9, 45)(5, 41, 12, 48)(7, 43, 16, 52)(8, 44, 17, 53)(10, 46, 21, 57)(11, 47, 24, 60)(13, 49, 15, 51)(14, 50, 19, 55)(18, 54, 20, 56)(22, 58, 27, 63)(23, 59, 31, 67)(25, 61, 26, 62)(28, 64, 29, 65)(30, 66, 35, 71)(32, 68, 33, 69)(34, 70, 36, 72)(73, 74, 77, 83, 95, 102, 94, 82, 76)(75, 79, 87, 96, 104, 106, 99, 90, 80)(78, 85, 98, 103, 108, 101, 93, 89, 86)(81, 91, 88, 84, 97, 105, 107, 100, 92)(109, 110, 113, 119, 131, 138, 130, 118, 112)(111, 115, 123, 132, 140, 142, 135, 126, 116)(114, 121, 134, 139, 144, 137, 129, 125, 122)(117, 127, 124, 120, 133, 141, 143, 136, 128)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E22.483
Graph:: simple bipartite
	v = 26 e = 72 f = 4
	degree seq :: [ 4^18, 9^8 ]

E22.483 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 9, 9, 9})
Quotient :: loop^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1 * Y3^-1, R * Y1 * R * Y2, (Y1^-1 * Y2)^2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y1^9, Y2^9, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 15, 51, 87, 123, 26, 62, 98, 134, 27, 63, 99, 135, 30, 66, 102, 138, 36, 72, 108, 144, 25, 61, 97, 133, 7, 43, 79, 115)(2, 38, 74, 110, 6, 42, 78, 114, 16, 52, 88, 124, 33, 69, 105, 141, 12, 48, 84, 120, 32, 68, 104, 140, 20, 56, 92, 128, 31, 67, 103, 139, 11, 47, 83, 119)(3, 39, 75, 111, 13, 49, 85, 121, 17, 53, 89, 125, 29, 65, 101, 137, 9, 45, 81, 117, 18, 54, 90, 126, 23, 59, 95, 131, 34, 70, 106, 142, 14, 50, 86, 122)(5, 41, 77, 113, 19, 55, 91, 127, 28, 64, 100, 136, 8, 44, 80, 116, 10, 46, 82, 118, 22, 58, 94, 130, 35, 71, 107, 143, 24, 60, 96, 132, 21, 57, 93, 129)
	L = (1, 38)(2, 44)(3, 43)(4, 49)(5, 37)(6, 54)(7, 60)(8, 62)(9, 47)(10, 39)(11, 61)(12, 50)(13, 68)(14, 64)(15, 55)(16, 40)(17, 58)(18, 57)(19, 59)(20, 41)(21, 48)(22, 42)(23, 66)(24, 65)(25, 70)(26, 69)(27, 45)(28, 67)(29, 51)(30, 46)(31, 53)(32, 63)(33, 71)(34, 52)(35, 72)(36, 56)(73, 111)(74, 117)(75, 120)(76, 113)(77, 126)(78, 109)(79, 119)(80, 122)(81, 132)(82, 110)(83, 136)(84, 134)(85, 118)(86, 133)(87, 124)(88, 130)(89, 112)(90, 135)(91, 128)(92, 121)(93, 115)(94, 138)(95, 114)(96, 141)(97, 143)(98, 137)(99, 116)(100, 123)(101, 139)(102, 140)(103, 144)(104, 129)(105, 142)(106, 127)(107, 125)(108, 131)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.482
Transitivity :: VT+
Graph::
	v = 4 e = 72 f = 26
	degree seq :: [ 36^4 ]

E22.484 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 9, 9, 9})
Quotient :: loop^2
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, Y2^9, Y1^9, (Y1^-1 * Y3 * Y2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 3, 39, 75, 111)(2, 38, 74, 110, 6, 42, 78, 114)(4, 40, 76, 112, 9, 45, 81, 117)(5, 41, 77, 113, 12, 48, 84, 120)(7, 43, 79, 115, 16, 52, 88, 124)(8, 44, 80, 116, 17, 53, 89, 125)(10, 46, 82, 118, 21, 57, 93, 129)(11, 47, 83, 119, 24, 60, 96, 132)(13, 49, 85, 121, 15, 51, 87, 123)(14, 50, 86, 122, 19, 55, 91, 127)(18, 54, 90, 126, 20, 56, 92, 128)(22, 58, 94, 130, 27, 63, 99, 135)(23, 59, 95, 131, 31, 67, 103, 139)(25, 61, 97, 133, 26, 62, 98, 134)(28, 64, 100, 136, 29, 65, 101, 137)(30, 66, 102, 138, 35, 71, 107, 143)(32, 68, 104, 140, 33, 69, 105, 141)(34, 70, 106, 142, 36, 72, 108, 144)
	L = (1, 38)(2, 41)(3, 43)(4, 37)(5, 47)(6, 49)(7, 51)(8, 39)(9, 55)(10, 40)(11, 59)(12, 61)(13, 62)(14, 42)(15, 60)(16, 48)(17, 50)(18, 44)(19, 52)(20, 45)(21, 53)(22, 46)(23, 66)(24, 68)(25, 69)(26, 67)(27, 54)(28, 56)(29, 57)(30, 58)(31, 72)(32, 70)(33, 71)(34, 63)(35, 64)(36, 65)(73, 110)(74, 113)(75, 115)(76, 109)(77, 119)(78, 121)(79, 123)(80, 111)(81, 127)(82, 112)(83, 131)(84, 133)(85, 134)(86, 114)(87, 132)(88, 120)(89, 122)(90, 116)(91, 124)(92, 117)(93, 125)(94, 118)(95, 138)(96, 140)(97, 141)(98, 139)(99, 126)(100, 128)(101, 129)(102, 130)(103, 144)(104, 142)(105, 143)(106, 135)(107, 136)(108, 137)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.481
Transitivity :: VT+
Graph::
	v = 18 e = 72 f = 12
	degree seq :: [ 8^18 ]

E22.485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1, Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-2, Y1 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2^9, Y3^-4 * Y1 * Y3^-3 * Y1 * Y3^-2, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 9, 45)(5, 41, 11, 47)(6, 42, 13, 49)(8, 44, 17, 53)(10, 46, 21, 57)(12, 48, 15, 51)(14, 50, 20, 56)(16, 52, 19, 55)(18, 54, 23, 59)(22, 58, 24, 60)(25, 61, 26, 62)(27, 63, 33, 69)(28, 64, 29, 65)(30, 66, 35, 71)(31, 67, 34, 70)(32, 68, 36, 72)(73, 109, 75, 111, 80, 116, 90, 126, 99, 135, 102, 138, 94, 130, 82, 118, 76, 112)(74, 110, 77, 113, 84, 120, 95, 131, 103, 139, 104, 140, 96, 132, 86, 122, 78, 114)(79, 115, 87, 123, 97, 133, 105, 141, 108, 144, 101, 137, 93, 129, 85, 121, 88, 124)(81, 117, 91, 127, 83, 119, 89, 125, 98, 134, 106, 142, 107, 143, 100, 136, 92, 128)
	L = (1, 76)(2, 78)(3, 73)(4, 82)(5, 74)(6, 86)(7, 88)(8, 75)(9, 92)(10, 94)(11, 91)(12, 77)(13, 93)(14, 96)(15, 79)(16, 85)(17, 83)(18, 80)(19, 81)(20, 100)(21, 101)(22, 102)(23, 84)(24, 104)(25, 87)(26, 89)(27, 90)(28, 107)(29, 108)(30, 99)(31, 95)(32, 103)(33, 97)(34, 98)(35, 106)(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) :: { ( 18^4 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.490
Graph:: bipartite
	v = 22 e = 72 f = 8
	degree seq :: [ 4^18, 18^4 ]

E22.486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y1, (R * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^2 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2^9, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 12, 48)(5, 41, 15, 51)(7, 43, 8, 44)(9, 45, 11, 47)(10, 46, 20, 56)(13, 49, 17, 53)(14, 50, 16, 52)(18, 54, 19, 55)(21, 57, 22, 58)(23, 59, 24, 60)(25, 61, 28, 64)(26, 62, 27, 63)(29, 65, 30, 66)(31, 67, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 81, 117, 93, 129, 101, 137, 106, 142, 97, 133, 89, 125, 77, 113)(74, 110, 79, 115, 91, 127, 94, 130, 103, 139, 105, 141, 100, 136, 86, 122, 76, 112)(78, 114, 90, 126, 96, 132, 102, 138, 108, 144, 98, 134, 85, 121, 84, 120, 82, 118)(80, 116, 83, 119, 95, 131, 104, 140, 107, 143, 99, 135, 88, 124, 87, 123, 92, 128)
	L = (1, 76)(2, 77)(3, 82)(4, 85)(5, 88)(6, 73)(7, 92)(8, 74)(9, 80)(10, 87)(11, 75)(12, 86)(13, 97)(14, 99)(15, 89)(16, 100)(17, 98)(18, 79)(19, 78)(20, 84)(21, 91)(22, 81)(23, 90)(24, 83)(25, 105)(26, 107)(27, 108)(28, 106)(29, 96)(30, 93)(31, 95)(32, 94)(33, 102)(34, 104)(35, 101)(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) :: { ( 18^4 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.489
Graph:: bipartite
	v = 22 e = 72 f = 8
	degree seq :: [ 4^18, 18^4 ]

E22.487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^3 * Y3 * Y2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 11, 47)(4, 40, 14, 50)(5, 41, 15, 51)(6, 42, 18, 54)(7, 43, 19, 55)(8, 44, 22, 58)(9, 45, 23, 59)(10, 46, 26, 62)(12, 48, 30, 66)(13, 49, 21, 57)(16, 52, 35, 71)(17, 53, 25, 61)(20, 56, 27, 63)(24, 60, 33, 69)(28, 64, 31, 67)(29, 65, 32, 68)(34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 89, 125, 78, 114, 76, 112, 85, 121, 88, 124, 77, 113)(74, 110, 79, 115, 92, 128, 97, 133, 82, 118, 80, 116, 93, 129, 96, 132, 81, 117)(83, 119, 99, 135, 108, 144, 90, 126, 94, 130, 100, 136, 107, 143, 95, 131, 101, 137)(86, 122, 103, 139, 105, 141, 87, 123, 104, 140, 91, 127, 102, 138, 106, 142, 98, 134)
	L = (1, 76)(2, 80)(3, 85)(4, 75)(5, 78)(6, 73)(7, 93)(8, 79)(9, 82)(10, 74)(11, 100)(12, 88)(13, 84)(14, 91)(15, 98)(16, 89)(17, 77)(18, 101)(19, 103)(20, 96)(21, 92)(22, 83)(23, 90)(24, 97)(25, 81)(26, 104)(27, 107)(28, 99)(29, 94)(30, 105)(31, 102)(32, 86)(33, 106)(34, 87)(35, 108)(36, 95)(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) :: { ( 18^4 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.488
Graph:: bipartite
	v = 22 e = 72 f = 8
	degree seq :: [ 4^18, 18^4 ]

E22.488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-1, (R * Y1)^2, (Y2 * Y1^-1)^2, R * Y2 * R * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y1^-2, Y1^3 * Y2^-3, Y2^3 * Y1^-3, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1^-2, Y3^2 * Y1^2 * Y3^-1 * Y1^-1, Y2^3 * Y1^6, (Y3 * Y2^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 16, 52, 28, 64, 34, 70, 24, 60, 15, 51, 5, 41)(3, 39, 9, 45, 20, 56, 29, 65, 36, 72, 25, 61, 12, 48, 22, 58, 8, 44)(4, 40, 11, 47, 23, 59, 10, 46, 17, 53, 30, 66, 33, 69, 27, 63, 13, 49)(7, 43, 19, 55, 31, 67, 35, 71, 26, 62, 14, 50, 21, 57, 32, 68, 18, 54)(73, 109, 75, 111, 82, 118, 88, 124, 101, 137, 105, 141, 96, 132, 84, 120, 76, 112)(74, 110, 79, 115, 92, 128, 100, 136, 107, 143, 97, 133, 87, 123, 93, 129, 80, 116)(77, 113, 83, 119, 90, 126, 78, 114, 89, 125, 103, 139, 106, 142, 99, 135, 86, 122)(81, 117, 91, 127, 102, 138, 108, 144, 98, 134, 85, 121, 94, 130, 104, 140, 95, 131)
	L = (1, 76)(2, 80)(3, 73)(4, 84)(5, 86)(6, 90)(7, 74)(8, 93)(9, 95)(10, 75)(11, 77)(12, 96)(13, 98)(14, 99)(15, 97)(16, 82)(17, 78)(18, 83)(19, 81)(20, 79)(21, 87)(22, 85)(23, 104)(24, 105)(25, 107)(26, 108)(27, 106)(28, 92)(29, 88)(30, 91)(31, 89)(32, 94)(33, 101)(34, 103)(35, 100)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.487
Graph:: bipartite
	v = 8 e = 72 f = 22
	degree seq :: [ 18^8 ]

E22.489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y1^2 * Y2 * Y1^-1 * Y2, Y1^2 * Y2^-1 * Y3^-1 * Y1, Y3^4 * Y2, Y1 * Y3^-2 * Y1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 14, 50, 30, 66, 36, 72, 25, 61, 21, 57, 5, 41)(3, 39, 13, 49, 11, 47, 17, 53, 32, 68, 10, 46, 7, 43, 26, 62, 15, 51)(4, 40, 16, 52, 35, 71, 27, 63, 19, 55, 24, 60, 6, 42, 23, 59, 18, 54)(9, 45, 29, 65, 20, 56, 31, 67, 34, 70, 28, 64, 12, 48, 33, 69, 22, 58)(73, 109, 75, 111, 76, 112, 86, 122, 89, 125, 99, 135, 97, 133, 79, 115, 78, 114)(74, 110, 81, 117, 82, 118, 102, 138, 103, 139, 87, 123, 93, 129, 84, 120, 83, 119)(77, 113, 91, 127, 92, 128, 80, 116, 95, 131, 100, 136, 108, 144, 88, 124, 94, 130)(85, 121, 106, 142, 96, 132, 104, 140, 105, 141, 90, 126, 98, 134, 101, 137, 107, 143)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 92)(6, 75)(7, 73)(8, 100)(9, 102)(10, 103)(11, 81)(12, 74)(13, 96)(14, 99)(15, 84)(16, 77)(17, 97)(18, 101)(19, 80)(20, 95)(21, 83)(22, 91)(23, 108)(24, 105)(25, 78)(26, 107)(27, 79)(28, 88)(29, 85)(30, 87)(31, 93)(32, 90)(33, 98)(34, 104)(35, 106)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.486
Graph:: bipartite
	v = 8 e = 72 f = 22
	degree seq :: [ 18^8 ]

E22.490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 9, 9, 9})
Quotient :: dipole
Aut^+ = (C2 x C2) : C9 (small group id <36, 3>)
Aut   = ((C2 x C2) : C9) : C2 (small group id <72, 15>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y3^-1 * Y2 * Y1^-1, R * Y2 * R * Y1^-1 * Y2^-1, Y3^2 * Y1 * Y2^-2, Y3 * Y2 * Y3 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3^-1 * Y1^-1 * Y2^2, Y1 * Y2 * Y1 * Y2 * Y3, Y1^2 * Y3^-2 * Y2^-1, Y3 * Y2^-4 * Y1^-1, Y1^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 32, 68, 21, 57, 17, 53, 34, 70, 24, 60, 5, 41)(3, 39, 13, 49, 11, 47, 23, 59, 35, 71, 33, 69, 28, 64, 12, 48, 16, 52)(4, 40, 18, 54, 36, 72, 31, 67, 15, 51, 25, 61, 9, 45, 30, 66, 20, 56)(6, 42, 26, 62, 19, 55, 14, 50, 10, 46, 7, 43, 29, 65, 22, 58, 27, 63)(73, 109, 75, 111, 86, 122, 104, 140, 95, 131, 101, 137, 106, 142, 100, 136, 78, 114)(74, 110, 81, 117, 105, 141, 93, 129, 76, 112, 88, 124, 96, 132, 103, 139, 83, 119)(77, 113, 94, 130, 92, 128, 80, 116, 98, 134, 108, 144, 89, 125, 82, 118, 97, 133)(79, 115, 85, 121, 90, 126, 99, 135, 107, 143, 87, 123, 91, 127, 84, 120, 102, 138)
	L = (1, 76)(2, 82)(3, 87)(4, 91)(5, 95)(6, 97)(7, 73)(8, 100)(9, 99)(10, 107)(11, 78)(12, 74)(13, 93)(14, 92)(15, 80)(16, 101)(17, 75)(18, 77)(19, 106)(20, 83)(21, 94)(22, 84)(23, 102)(24, 98)(25, 88)(26, 85)(27, 104)(28, 90)(29, 108)(30, 89)(31, 79)(32, 103)(33, 86)(34, 81)(35, 96)(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, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.485
Graph:: bipartite
	v = 8 e = 72 f = 22
	degree seq :: [ 18^8 ]

E22.491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^-2 * Y2, Y2^4, Y3^-2 * Y2^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-2 * Y3^-1, (Y3, Y1), Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^-12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 21, 57, 26, 62)(13, 49, 22, 58, 28, 64)(15, 51, 23, 59, 30, 66)(16, 52, 24, 60, 31, 67)(18, 54, 25, 61, 32, 68)(27, 63, 33, 69, 35, 71)(29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 88, 124, 79, 115, 90, 126)(77, 113, 86, 122, 98, 134, 91, 127)(81, 117, 96, 132, 83, 119, 97, 133)(85, 121, 99, 135, 87, 123, 101, 137)(89, 125, 103, 139, 92, 128, 104, 140)(94, 130, 105, 141, 95, 131, 106, 142)(100, 136, 107, 143, 102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 85)(4, 84)(5, 89)(6, 87)(7, 73)(8, 94)(9, 93)(10, 95)(11, 74)(12, 79)(13, 78)(14, 100)(15, 75)(16, 101)(17, 98)(18, 99)(19, 102)(20, 77)(21, 83)(22, 82)(23, 80)(24, 106)(25, 105)(26, 92)(27, 88)(28, 91)(29, 90)(30, 86)(31, 108)(32, 107)(33, 96)(34, 97)(35, 103)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.521
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2 * Y3^2 * Y2, Y2^4, Y3^2 * Y2^2, Y3^2 * Y2^-2, (R * Y3)^2, Y1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1, (Y1^-1 * R * Y2^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * 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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 14, 50)(4, 40, 16, 52, 18, 54)(6, 42, 9, 45, 23, 59)(7, 43, 24, 60, 20, 56)(8, 44, 22, 58, 27, 63)(10, 46, 21, 57, 31, 67)(12, 48, 25, 61, 32, 68)(13, 49, 26, 62, 33, 69)(15, 51, 28, 64, 34, 70)(17, 53, 29, 65, 35, 71)(19, 55, 30, 66, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 89, 125, 79, 115, 91, 127)(77, 113, 92, 128, 104, 140, 90, 126)(81, 117, 101, 137, 83, 119, 102, 138)(85, 121, 99, 135, 87, 123, 103, 139)(86, 122, 106, 142, 95, 131, 105, 141)(88, 124, 98, 134, 96, 132, 100, 136)(93, 129, 107, 143, 94, 130, 108, 144)
	L = (1, 76)(2, 81)(3, 85)(4, 84)(5, 93)(6, 87)(7, 73)(8, 98)(9, 97)(10, 100)(11, 74)(12, 79)(13, 78)(14, 107)(15, 75)(16, 102)(17, 103)(18, 106)(19, 99)(20, 105)(21, 104)(22, 77)(23, 108)(24, 101)(25, 83)(26, 82)(27, 89)(28, 80)(29, 88)(30, 96)(31, 91)(32, 94)(33, 90)(34, 92)(35, 95)(36, 86)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.522
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1, Y2 * Y1^-1 * Y3 * Y1, Y3^-1 * Y2^2 * Y3^-1, Y3^2 * Y2^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3^4, (R * Y1)^2, Y3^2 * Y2^-2, Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3^2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2)^3, Y2 * 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 10, 46, 18, 54)(6, 42, 23, 59, 21, 57)(7, 43, 8, 44, 24, 60)(9, 45, 22, 58, 29, 65)(11, 47, 20, 56, 31, 67)(13, 49, 25, 61, 32, 68)(14, 50, 26, 62, 33, 69)(16, 52, 27, 63, 36, 72)(17, 53, 28, 64, 35, 71)(19, 55, 30, 66, 34, 70)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 89, 125, 79, 115, 91, 127)(77, 113, 92, 128, 104, 140, 94, 130)(81, 117, 100, 136, 83, 119, 102, 138)(84, 120, 99, 135, 95, 131, 98, 134)(86, 122, 103, 139, 88, 124, 101, 137)(87, 123, 106, 142, 93, 129, 107, 143)(90, 126, 105, 141, 96, 132, 108, 144)
	L = (1, 76)(2, 81)(3, 86)(4, 85)(5, 93)(6, 88)(7, 73)(8, 98)(9, 97)(10, 99)(11, 74)(12, 100)(13, 79)(14, 78)(15, 77)(16, 75)(17, 101)(18, 106)(19, 103)(20, 105)(21, 104)(22, 108)(23, 102)(24, 107)(25, 83)(26, 82)(27, 80)(28, 95)(29, 91)(30, 84)(31, 89)(32, 87)(33, 94)(34, 96)(35, 90)(36, 92)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.523
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y2^4, (Y2^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 16, 52, 9, 45)(6, 42, 18, 54, 10, 46)(7, 43, 19, 55, 11, 47)(13, 49, 21, 57, 26, 62)(14, 50, 22, 58, 27, 63)(15, 51, 23, 59, 28, 64)(17, 53, 24, 60, 31, 67)(20, 56, 25, 61, 32, 68)(29, 65, 35, 71, 33, 69)(30, 66, 36, 72, 34, 70)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 86, 122, 101, 137, 89, 125)(77, 113, 84, 120, 98, 134, 90, 126)(79, 115, 87, 123, 102, 138, 92, 128)(81, 117, 94, 130, 105, 141, 96, 132)(83, 119, 95, 131, 106, 142, 97, 133)(88, 124, 99, 135, 107, 143, 103, 139)(91, 127, 100, 136, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 86)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 95)(10, 96)(11, 74)(12, 99)(13, 101)(14, 102)(15, 75)(16, 100)(17, 79)(18, 103)(19, 77)(20, 78)(21, 105)(22, 106)(23, 80)(24, 83)(25, 82)(26, 107)(27, 108)(28, 84)(29, 92)(30, 85)(31, 91)(32, 90)(33, 97)(34, 93)(35, 104)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.524
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3 * Y2^-1, Y3 * Y1 * Y2 * Y1, Y2^4, (Y2 * R)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1 * Y3^-1 * Y1 * Y2^-2 * Y3^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y3)^3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 17, 53, 18, 54)(6, 42, 22, 58, 9, 45)(7, 43, 24, 60, 8, 44)(10, 46, 29, 65, 21, 57)(11, 47, 31, 67, 20, 56)(13, 49, 25, 61, 35, 71)(14, 50, 26, 62, 36, 72)(16, 52, 27, 63, 32, 68)(19, 55, 28, 64, 34, 70)(23, 59, 30, 66, 33, 69)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 97, 133, 82, 118)(76, 112, 86, 122, 103, 139, 91, 127)(77, 113, 92, 128, 107, 143, 89, 125)(79, 115, 88, 124, 101, 137, 95, 131)(81, 117, 98, 134, 87, 123, 100, 136)(83, 119, 99, 135, 90, 126, 102, 138)(84, 120, 104, 140, 94, 130, 105, 141)(93, 129, 108, 144, 96, 132, 106, 142)
	L = (1, 76)(2, 81)(3, 86)(4, 88)(5, 93)(6, 91)(7, 73)(8, 98)(9, 99)(10, 100)(11, 74)(12, 77)(13, 103)(14, 101)(15, 102)(16, 75)(17, 106)(18, 97)(19, 79)(20, 108)(21, 104)(22, 107)(23, 78)(24, 105)(25, 87)(26, 90)(27, 80)(28, 83)(29, 85)(30, 82)(31, 95)(32, 92)(33, 89)(34, 84)(35, 96)(36, 94)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.528
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2, R * Y2 * R * Y1^-1 * Y2, Y2 * Y1^-1 * Y3^-3, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, (Y1 * Y2^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 16, 52, 9, 45)(6, 42, 20, 56, 10, 46)(7, 43, 21, 57, 11, 47)(13, 49, 27, 63, 30, 66)(14, 50, 28, 64, 17, 53)(15, 51, 18, 54, 24, 60)(19, 55, 22, 58, 26, 62)(23, 59, 29, 65, 25, 61)(31, 67, 36, 72, 33, 69)(32, 68, 34, 70, 35, 71)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 99, 135, 82, 118)(76, 112, 89, 125, 103, 139, 91, 127)(77, 113, 84, 120, 102, 138, 92, 128)(79, 115, 96, 132, 104, 140, 97, 133)(81, 117, 86, 122, 105, 141, 94, 130)(83, 119, 87, 123, 107, 143, 95, 131)(88, 124, 100, 136, 108, 144, 98, 134)(90, 126, 106, 142, 101, 137, 93, 129)
	L = (1, 76)(2, 81)(3, 86)(4, 90)(5, 88)(6, 94)(7, 73)(8, 100)(9, 96)(10, 98)(11, 74)(12, 89)(13, 103)(14, 106)(15, 75)(16, 87)(17, 107)(18, 80)(19, 83)(20, 91)(21, 77)(22, 93)(23, 78)(24, 84)(25, 92)(26, 79)(27, 105)(28, 104)(29, 82)(30, 108)(31, 101)(32, 85)(33, 97)(34, 102)(35, 99)(36, 95)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.525
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y3, R * Y2 * Y1^-1 * R * Y2, Y3 * Y1^-1 * Y3^2 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 16, 52, 9, 45)(6, 42, 20, 56, 10, 46)(7, 43, 21, 57, 11, 47)(13, 49, 27, 63, 30, 66)(14, 50, 17, 53, 28, 64)(15, 51, 24, 60, 18, 54)(19, 55, 26, 62, 22, 58)(23, 59, 25, 61, 29, 65)(31, 67, 33, 69, 36, 72)(32, 68, 35, 71, 34, 70)(73, 109, 75, 111, 85, 121, 78, 114)(74, 110, 80, 116, 99, 135, 82, 118)(76, 112, 89, 125, 103, 139, 91, 127)(77, 113, 84, 120, 102, 138, 92, 128)(79, 115, 96, 132, 104, 140, 97, 133)(81, 117, 100, 136, 108, 144, 98, 134)(83, 119, 90, 126, 106, 142, 101, 137)(86, 122, 105, 141, 94, 130, 88, 124)(87, 123, 107, 143, 95, 131, 93, 129)
	L = (1, 76)(2, 81)(3, 86)(4, 90)(5, 88)(6, 94)(7, 73)(8, 89)(9, 87)(10, 91)(11, 74)(12, 100)(13, 103)(14, 106)(15, 75)(16, 96)(17, 107)(18, 84)(19, 93)(20, 98)(21, 77)(22, 83)(23, 78)(24, 80)(25, 82)(26, 79)(27, 108)(28, 104)(29, 92)(30, 105)(31, 101)(32, 85)(33, 97)(34, 99)(35, 102)(36, 95)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.526
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^4, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3, Y1), (R * Y3)^2, Y2 * Y1 * Y2 * Y3^2, Y2^-1 * Y1 * Y3^2 * Y2^-1, Y3^-4 * Y1, Y3 * Y2^2 * Y3 * Y1, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 18, 54)(6, 42, 10, 46, 20, 56)(7, 43, 11, 47, 21, 57)(12, 48, 26, 62, 17, 53)(13, 49, 23, 59, 28, 64)(15, 51, 27, 63, 22, 58)(16, 52, 25, 61, 30, 66)(19, 55, 24, 60, 29, 65)(31, 67, 34, 70, 35, 71)(32, 68, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 98, 134, 82, 118)(76, 112, 88, 124, 93, 129, 91, 127)(77, 113, 86, 122, 89, 125, 92, 128)(79, 115, 96, 132, 81, 117, 97, 133)(83, 119, 101, 137, 90, 126, 102, 138)(85, 121, 103, 139, 94, 130, 104, 140)(87, 123, 105, 141, 95, 131, 106, 142)(99, 135, 108, 144, 100, 136, 107, 143)
	L = (1, 76)(2, 81)(3, 85)(4, 89)(5, 90)(6, 94)(7, 73)(8, 95)(9, 84)(10, 87)(11, 74)(12, 93)(13, 92)(14, 100)(15, 75)(16, 105)(17, 83)(18, 98)(19, 106)(20, 99)(21, 77)(22, 86)(23, 78)(24, 107)(25, 108)(26, 79)(27, 80)(28, 82)(29, 103)(30, 104)(31, 97)(32, 96)(33, 101)(34, 102)(35, 88)(36, 91)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.527
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y2^-1 * Y3^-1, (R * Y3^-1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3 * Y2^-1 * Y1^-1 * Y2^2, Y1^-1 * Y3^-1 * Y2 * Y3^2, Y3^3 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 7, 43)(4, 40, 15, 51, 17, 53)(6, 42, 21, 57, 23, 59)(8, 44, 27, 63, 10, 46)(9, 45, 29, 65, 31, 67)(12, 48, 18, 54, 14, 50)(13, 49, 28, 64, 34, 70)(16, 52, 30, 66, 22, 58)(19, 55, 35, 71, 20, 56)(24, 60, 32, 68, 26, 62)(25, 61, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 90, 126, 76, 112)(77, 113, 91, 127, 86, 122, 81, 117)(79, 115, 96, 132, 95, 131, 97, 133)(82, 118, 104, 140, 89, 125, 105, 141)(83, 119, 94, 130, 93, 129, 85, 121)(87, 123, 100, 136, 99, 135, 88, 124)(92, 128, 98, 134, 103, 139, 108, 144)(101, 137, 106, 142, 107, 143, 102, 138)
	L = (1, 76)(2, 81)(3, 85)(4, 88)(5, 78)(6, 94)(7, 73)(8, 100)(9, 102)(10, 74)(11, 97)(12, 80)(13, 87)(14, 75)(15, 104)(16, 107)(17, 90)(18, 91)(19, 106)(20, 77)(21, 96)(22, 99)(23, 84)(24, 82)(25, 89)(26, 79)(27, 105)(28, 101)(29, 98)(30, 83)(31, 86)(32, 92)(33, 103)(34, 93)(35, 108)(36, 95)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.529
Graph:: bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-1 * Y2^-1, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^2 * Y1^-1, Y1^-1 * Y3^2 * Y2 * Y3^-1, Y3 * Y1 * Y3^2 * 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 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 11, 47, 13, 49)(4, 40, 15, 51, 6, 42)(7, 43, 23, 59, 25, 61)(8, 44, 27, 63, 28, 64)(9, 45, 30, 66, 10, 46)(12, 48, 21, 57, 24, 60)(14, 50, 29, 65, 26, 62)(16, 52, 31, 67, 35, 71)(17, 53, 32, 68, 18, 54)(19, 55, 34, 70, 20, 56)(22, 58, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 88, 124, 83, 119, 90, 126)(77, 113, 79, 115, 96, 132, 92, 128)(81, 117, 103, 139, 99, 135, 89, 125)(85, 121, 86, 122, 87, 123, 94, 130)(91, 127, 107, 143, 95, 131, 104, 140)(97, 133, 98, 134, 106, 142, 108, 144)(100, 136, 101, 137, 102, 138, 105, 141)
	L = (1, 76)(2, 81)(3, 74)(4, 89)(5, 91)(6, 93)(7, 73)(8, 77)(9, 104)(10, 96)(11, 103)(12, 83)(13, 105)(14, 75)(15, 101)(16, 87)(17, 100)(18, 85)(19, 90)(20, 84)(21, 99)(22, 78)(23, 88)(24, 95)(25, 94)(26, 79)(27, 107)(28, 108)(29, 80)(30, 98)(31, 102)(32, 97)(33, 82)(34, 86)(35, 106)(36, 92)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.530
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, Y1^4, Y3^4, Y3^2 * Y1^-2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, Y2^3 * Y3^2, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 17, 53, 7, 43, 18, 54)(6, 42, 11, 47, 13, 49, 20, 56)(10, 46, 25, 61, 12, 48, 26, 62)(14, 50, 29, 65, 16, 52, 30, 66)(19, 55, 31, 67, 22, 58, 32, 68)(23, 59, 33, 69, 24, 60, 34, 70)(27, 63, 35, 71, 28, 64, 36, 72)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 94, 130, 79, 115, 88, 124, 91, 127)(82, 118, 95, 131, 100, 136, 84, 120, 96, 132, 99, 135)(89, 125, 101, 137, 104, 140, 90, 126, 102, 138, 103, 139)(97, 133, 105, 141, 108, 144, 98, 134, 106, 142, 107, 143)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 91)(7, 73)(8, 79)(9, 95)(10, 77)(11, 99)(12, 74)(13, 94)(14, 93)(15, 96)(16, 75)(17, 98)(18, 97)(19, 85)(20, 100)(21, 88)(22, 78)(23, 87)(24, 81)(25, 89)(26, 90)(27, 92)(28, 83)(29, 106)(30, 105)(31, 108)(32, 107)(33, 101)(34, 102)(35, 103)(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) :: { ( 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 E22.511
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2, (Y1^-1, Y2), (R * Y1)^2, (R * Y2)^2, Y1^4, (R * Y3)^2, Y1^2 * Y2^-3, (Y1^-1 * Y3^-1)^3, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 16, 52, 25, 61, 17, 53)(6, 42, 11, 47, 13, 49, 19, 55)(7, 43, 23, 59, 26, 62, 24, 60)(10, 46, 28, 64, 18, 54, 29, 65)(12, 48, 31, 67, 20, 56, 32, 68)(14, 50, 33, 69, 22, 58, 34, 70)(27, 63, 36, 72, 30, 66, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 91, 127, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 98, 134, 97, 133, 94, 130, 79, 115)(82, 118, 99, 135, 92, 128, 90, 126, 102, 138, 84, 120)(88, 124, 105, 141, 96, 132, 89, 125, 106, 142, 95, 131)(100, 136, 108, 144, 104, 140, 101, 137, 107, 143, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 75)(5, 90)(6, 79)(7, 73)(8, 97)(9, 99)(10, 81)(11, 84)(12, 74)(13, 98)(14, 85)(15, 102)(16, 103)(17, 104)(18, 87)(19, 92)(20, 77)(21, 94)(22, 78)(23, 107)(24, 108)(25, 93)(26, 80)(27, 91)(28, 96)(29, 95)(30, 83)(31, 105)(32, 106)(33, 100)(34, 101)(35, 88)(36, 89)(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) :: { ( 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 E22.516
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y1^-1), Y3^-3 * Y1, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y1^4, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y1^-2 * Y2^-3, (Y1 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 21, 57, 15, 51)(4, 40, 10, 46, 23, 59, 18, 54)(6, 42, 9, 45, 13, 49, 19, 55)(7, 43, 12, 48, 24, 60, 20, 56)(14, 50, 27, 63, 33, 69, 31, 67)(16, 52, 28, 64, 36, 72, 32, 68)(17, 53, 25, 61, 29, 65, 34, 70)(22, 58, 26, 62, 30, 66, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 91, 127, 83, 119)(76, 112, 89, 125, 105, 141, 95, 131, 101, 137, 86, 122)(79, 115, 94, 130, 108, 144, 96, 132, 102, 138, 88, 124)(82, 118, 99, 135, 106, 142, 90, 126, 103, 139, 97, 133)(84, 120, 100, 136, 107, 143, 92, 128, 104, 140, 98, 134)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 90)(6, 89)(7, 73)(8, 95)(9, 97)(10, 96)(11, 99)(12, 74)(13, 101)(14, 100)(15, 103)(16, 75)(17, 98)(18, 79)(19, 106)(20, 77)(21, 105)(22, 78)(23, 92)(24, 80)(25, 102)(26, 81)(27, 108)(28, 83)(29, 107)(30, 85)(31, 88)(32, 87)(33, 104)(34, 94)(35, 91)(36, 93)(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) :: { ( 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 E22.515
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3, Y1^-2 * Y2^3, Y2^-1 * Y1 * Y3^3, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3, (Y1^-1 * Y2 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 24, 60, 15, 51)(4, 40, 17, 53, 29, 65, 20, 56)(6, 42, 9, 45, 13, 49, 21, 57)(7, 43, 26, 62, 30, 66, 27, 63)(10, 46, 18, 54, 22, 58, 32, 68)(12, 48, 25, 61, 23, 59, 33, 69)(14, 50, 28, 64, 34, 70, 35, 71)(16, 52, 31, 67, 36, 72, 19, 55)(73, 109, 75, 111, 85, 121, 80, 116, 96, 132, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 93, 129, 83, 119)(76, 112, 90, 126, 106, 142, 101, 137, 104, 140, 86, 122)(79, 115, 97, 133, 108, 144, 102, 138, 105, 141, 88, 124)(82, 118, 92, 128, 107, 143, 94, 130, 89, 125, 100, 136)(84, 120, 99, 135, 91, 127, 95, 131, 98, 134, 103, 139)
	L = (1, 76)(2, 82)(3, 86)(4, 91)(5, 94)(6, 90)(7, 73)(8, 101)(9, 100)(10, 88)(11, 92)(12, 74)(13, 104)(14, 95)(15, 89)(16, 75)(17, 97)(18, 99)(19, 93)(20, 105)(21, 107)(22, 108)(23, 77)(24, 106)(25, 78)(26, 87)(27, 83)(28, 79)(29, 103)(30, 80)(31, 81)(32, 98)(33, 85)(34, 84)(35, 102)(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) :: { ( 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 E22.519
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2, Y1^4, Y1^-2 * Y2^3, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3, Y2^-1 * Y3^3 * Y1, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1, Y1 * Y3^2 * Y2^-1 * Y3, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 24, 60, 15, 51)(4, 40, 17, 53, 29, 65, 20, 56)(6, 42, 9, 45, 13, 49, 21, 57)(7, 43, 26, 62, 30, 66, 27, 63)(10, 46, 14, 50, 22, 58, 31, 67)(12, 48, 16, 52, 23, 59, 33, 69)(18, 54, 28, 64, 34, 70, 36, 72)(19, 55, 25, 61, 32, 68, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 96, 132, 78, 114)(74, 110, 81, 117, 87, 123, 77, 113, 93, 129, 83, 119)(76, 112, 90, 126, 103, 139, 101, 137, 106, 142, 86, 122)(79, 115, 97, 133, 105, 141, 102, 138, 107, 143, 88, 124)(82, 118, 100, 136, 89, 125, 94, 130, 108, 144, 92, 128)(84, 120, 104, 140, 98, 134, 95, 131, 91, 127, 99, 135)
	L = (1, 76)(2, 82)(3, 86)(4, 91)(5, 94)(6, 90)(7, 73)(8, 101)(9, 92)(10, 97)(11, 100)(12, 74)(13, 106)(14, 99)(15, 108)(16, 75)(17, 88)(18, 95)(19, 87)(20, 105)(21, 89)(22, 107)(23, 77)(24, 103)(25, 78)(26, 93)(27, 81)(28, 79)(29, 104)(30, 80)(31, 98)(32, 83)(33, 96)(34, 84)(35, 85)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E22.520
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y3 * Y2 * Y1 * Y2^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1^-2, Y2 * Y3 * Y2 * Y1^-1 * Y2, Y2^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 25, 61, 16, 52)(4, 40, 18, 54, 7, 43, 19, 55)(6, 42, 23, 59, 14, 50, 24, 60)(9, 45, 27, 63, 21, 57, 29, 65)(10, 46, 31, 67, 12, 48, 32, 68)(11, 47, 34, 70, 22, 58, 35, 71)(15, 51, 28, 64, 17, 53, 30, 66)(20, 56, 33, 69, 26, 62, 36, 72)(73, 109, 75, 111, 86, 122, 80, 116, 97, 133, 78, 114)(74, 110, 81, 117, 94, 130, 77, 113, 93, 129, 83, 119)(76, 112, 88, 124, 98, 134, 79, 115, 85, 121, 92, 128)(82, 118, 101, 137, 108, 144, 84, 120, 99, 135, 105, 141)(87, 123, 95, 131, 103, 139, 89, 125, 96, 132, 104, 140)(90, 126, 100, 136, 106, 142, 91, 127, 102, 138, 107, 143)
	L = (1, 76)(2, 82)(3, 87)(4, 80)(5, 84)(6, 94)(7, 73)(8, 79)(9, 100)(10, 77)(11, 78)(12, 74)(13, 101)(14, 83)(15, 97)(16, 99)(17, 75)(18, 104)(19, 103)(20, 106)(21, 102)(22, 86)(23, 105)(24, 108)(25, 89)(26, 107)(27, 85)(28, 93)(29, 88)(30, 81)(31, 90)(32, 91)(33, 96)(34, 98)(35, 92)(36, 95)(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) :: { ( 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 E22.512
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y3^-2 * Y1^2, Y3^4, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3^-2 * Y2^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 24, 60, 16, 52)(4, 40, 17, 53, 7, 43, 19, 55)(6, 42, 22, 58, 14, 50, 20, 56)(9, 45, 27, 63, 15, 51, 28, 64)(10, 46, 29, 65, 12, 48, 31, 67)(11, 47, 33, 69, 21, 57, 32, 68)(18, 54, 30, 66, 26, 62, 36, 72)(23, 59, 34, 70, 25, 61, 35, 71)(73, 109, 75, 111, 86, 122, 80, 116, 96, 132, 78, 114)(74, 110, 81, 117, 93, 129, 77, 113, 87, 123, 83, 119)(76, 112, 90, 126, 94, 130, 79, 115, 98, 134, 92, 128)(82, 118, 102, 138, 105, 141, 84, 120, 108, 144, 104, 140)(85, 121, 95, 131, 103, 139, 88, 124, 97, 133, 101, 137)(89, 125, 100, 136, 107, 143, 91, 127, 99, 135, 106, 142)
	L = (1, 76)(2, 82)(3, 87)(4, 80)(5, 84)(6, 95)(7, 73)(8, 79)(9, 75)(10, 77)(11, 106)(12, 74)(13, 102)(14, 97)(15, 96)(16, 108)(17, 103)(18, 99)(19, 101)(20, 105)(21, 107)(22, 104)(23, 86)(24, 81)(25, 78)(26, 100)(27, 98)(28, 90)(29, 89)(30, 88)(31, 91)(32, 92)(33, 94)(34, 93)(35, 83)(36, 85)(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) :: { ( 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 E22.513
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^3, Y2 * Y1^-1 * Y2 * Y3^-1, (Y1^-1, Y3^-1), Y1^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y2^2, Y1 * Y2^3 * Y1, Y2 * Y1 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 24, 60, 16, 52)(4, 40, 10, 46, 27, 63, 18, 54)(6, 42, 22, 58, 14, 50, 23, 59)(7, 43, 12, 48, 28, 64, 21, 57)(9, 45, 29, 65, 19, 55, 31, 67)(11, 47, 33, 69, 20, 56, 34, 70)(15, 51, 32, 68, 26, 62, 35, 71)(17, 53, 30, 66, 25, 61, 36, 72)(73, 109, 75, 111, 86, 122, 80, 116, 96, 132, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 91, 127, 83, 119)(76, 112, 89, 125, 85, 121, 99, 135, 97, 133, 88, 124)(79, 115, 94, 130, 87, 123, 100, 136, 95, 131, 98, 134)(82, 118, 104, 140, 101, 137, 90, 126, 107, 143, 103, 139)(84, 120, 105, 141, 102, 138, 93, 129, 106, 142, 108, 144)
	L = (1, 76)(2, 82)(3, 87)(4, 84)(5, 90)(6, 91)(7, 73)(8, 99)(9, 102)(10, 100)(11, 75)(12, 74)(13, 104)(14, 81)(15, 105)(16, 107)(17, 86)(18, 79)(19, 108)(20, 96)(21, 77)(22, 103)(23, 101)(24, 98)(25, 78)(26, 106)(27, 93)(28, 80)(29, 97)(30, 95)(31, 89)(32, 92)(33, 85)(34, 88)(35, 83)(36, 94)(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) :: { ( 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 E22.514
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1 * Y3^-1, Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1 * Y2^-2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^3 * Y1, Y2^-2 * Y1^-2 * Y2^-1, Y1 * Y3 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 12, 48, 21, 57, 14, 50)(4, 40, 13, 49, 22, 58, 6, 42)(7, 43, 24, 60, 9, 45, 25, 61)(10, 46, 20, 56, 19, 55, 11, 47)(15, 51, 27, 63, 31, 67, 26, 62)(16, 52, 35, 71, 23, 59, 34, 70)(17, 53, 29, 65, 36, 72, 18, 54)(28, 64, 33, 69, 30, 66, 32, 68)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 79, 115, 83, 119)(76, 112, 88, 124, 101, 137, 94, 130, 95, 131, 90, 126)(82, 118, 100, 136, 108, 144, 91, 127, 102, 138, 89, 125)(84, 120, 103, 139, 105, 141, 86, 122, 87, 123, 104, 140)(96, 132, 99, 135, 107, 143, 97, 133, 98, 134, 106, 142)
	L = (1, 76)(2, 82)(3, 74)(4, 89)(5, 91)(6, 86)(7, 73)(8, 94)(9, 80)(10, 101)(11, 96)(12, 100)(13, 84)(14, 102)(15, 75)(16, 85)(17, 104)(18, 106)(19, 90)(20, 97)(21, 77)(22, 108)(23, 78)(24, 88)(25, 95)(26, 79)(27, 81)(28, 92)(29, 107)(30, 83)(31, 93)(32, 99)(33, 98)(34, 87)(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) :: { ( 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 E22.517
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1 * Y2^-1, Y2^2 * Y3^-1 * Y1^-1, (R * Y3^-1)^2, Y1^-1 * Y2^2 * Y3^-1, Y2^-2 * Y1 * Y3, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y2, Y3 * Y1 * Y3^-2 * Y2^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 12, 48, 23, 59, 7, 43)(4, 40, 15, 51, 19, 55, 17, 53)(6, 42, 14, 50, 10, 46, 22, 58)(9, 45, 20, 56, 18, 54, 11, 47)(13, 49, 32, 68, 25, 61, 33, 69)(16, 52, 28, 64, 35, 71, 21, 57)(24, 60, 29, 65, 31, 67, 26, 62)(27, 63, 36, 72, 30, 66, 34, 70)(73, 109, 75, 111, 82, 118, 80, 116, 95, 131, 78, 114)(74, 110, 81, 117, 91, 127, 77, 113, 90, 126, 76, 112)(79, 115, 96, 132, 85, 121, 84, 120, 103, 139, 97, 133)(83, 119, 101, 137, 99, 135, 92, 128, 98, 134, 102, 138)(86, 122, 106, 142, 100, 136, 94, 130, 108, 144, 93, 129)(87, 123, 104, 140, 107, 143, 89, 125, 105, 141, 88, 124)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 78)(6, 93)(7, 73)(8, 91)(9, 99)(10, 100)(11, 74)(12, 80)(13, 87)(14, 75)(15, 81)(16, 106)(17, 90)(18, 102)(19, 107)(20, 77)(21, 105)(22, 95)(23, 97)(24, 83)(25, 89)(26, 79)(27, 94)(28, 104)(29, 84)(30, 86)(31, 92)(32, 103)(33, 96)(34, 101)(35, 108)(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) :: { ( 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 E22.518
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3, Y1), Y1 * Y2 * Y1^-1 * Y2, Y3 * Y1^3, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, Y3^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 7, 43, 12, 48, 23, 59, 17, 53, 27, 63, 18, 54, 4, 40, 10, 46, 5, 41)(3, 39, 11, 47, 21, 57, 15, 51, 28, 64, 33, 69, 29, 65, 36, 72, 30, 66, 13, 49, 26, 62, 14, 50)(6, 42, 9, 45, 22, 58, 20, 56, 25, 61, 34, 70, 31, 67, 35, 71, 32, 68, 16, 52, 24, 60, 19, 55)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 88, 124, 85, 121)(77, 113, 91, 127, 86, 122)(79, 115, 92, 128, 87, 123)(80, 116, 93, 129, 94, 130)(82, 118, 98, 134, 96, 132)(84, 120, 100, 136, 97, 133)(89, 125, 101, 137, 103, 139)(90, 126, 102, 138, 104, 140)(95, 131, 106, 142, 105, 141)(99, 135, 107, 143, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 89)(5, 90)(6, 88)(7, 73)(8, 77)(9, 96)(10, 99)(11, 98)(12, 74)(13, 101)(14, 102)(15, 75)(16, 103)(17, 79)(18, 95)(19, 104)(20, 78)(21, 86)(22, 91)(23, 80)(24, 107)(25, 81)(26, 108)(27, 84)(28, 83)(29, 87)(30, 105)(31, 92)(32, 106)(33, 93)(34, 94)(35, 97)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 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 E22.501
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y3 * Y1 * Y2 * Y1, Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, Y1 * Y2 * Y3 * Y1^2, (Y1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 15, 51, 28, 64, 35, 71, 18, 54, 29, 65, 32, 68, 13, 49, 22, 58, 5, 41)(3, 39, 11, 47, 23, 59, 24, 60, 12, 48, 30, 66, 31, 67, 33, 69, 21, 57, 17, 53, 10, 46, 14, 50)(4, 40, 16, 52, 20, 56, 6, 42, 9, 45, 26, 62, 7, 43, 25, 61, 27, 63, 34, 70, 36, 72, 19, 55)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 89, 125, 85, 121)(77, 113, 92, 128, 86, 122)(79, 115, 96, 132, 87, 123)(80, 116, 95, 131, 98, 134)(82, 118, 88, 124, 94, 130)(84, 120, 97, 133, 100, 136)(90, 126, 103, 139, 106, 142)(91, 127, 104, 140, 93, 129)(99, 135, 102, 138, 107, 143)(101, 137, 108, 144, 105, 141)
	L = (1, 76)(2, 82)(3, 85)(4, 90)(5, 93)(6, 89)(7, 73)(8, 92)(9, 94)(10, 101)(11, 88)(12, 74)(13, 103)(14, 91)(15, 75)(16, 105)(17, 106)(18, 79)(19, 102)(20, 104)(21, 107)(22, 108)(23, 77)(24, 78)(25, 83)(26, 86)(27, 80)(28, 81)(29, 84)(30, 98)(31, 87)(32, 99)(33, 97)(34, 96)(35, 95)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 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 E22.506
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^-1 * Y1 * Y2^-1 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (R * Y3)^2, Y3^4, Y2^-1 * Y3^-1 * Y1^-3, Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, (Y1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 29, 65, 35, 71, 18, 54, 28, 64, 32, 68, 17, 53, 22, 58, 5, 41)(3, 39, 11, 47, 26, 62, 7, 43, 25, 61, 27, 63, 31, 67, 36, 72, 19, 55, 4, 40, 16, 52, 14, 50)(6, 42, 9, 45, 23, 59, 15, 51, 12, 48, 30, 66, 34, 70, 33, 69, 21, 57, 13, 49, 10, 46, 20, 56)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 89, 125, 85, 121)(77, 113, 92, 128, 86, 122)(79, 115, 96, 132, 87, 123)(80, 116, 98, 134, 95, 131)(82, 118, 94, 130, 88, 124)(84, 120, 101, 137, 97, 133)(90, 126, 103, 139, 106, 142)(91, 127, 93, 129, 104, 140)(99, 135, 107, 143, 102, 138)(100, 136, 105, 141, 108, 144)
	L = (1, 76)(2, 82)(3, 85)(4, 90)(5, 93)(6, 89)(7, 73)(8, 86)(9, 88)(10, 100)(11, 94)(12, 74)(13, 103)(14, 104)(15, 75)(16, 105)(17, 106)(18, 79)(19, 102)(20, 91)(21, 107)(22, 108)(23, 77)(24, 78)(25, 81)(26, 92)(27, 80)(28, 84)(29, 83)(30, 98)(31, 87)(32, 99)(33, 97)(34, 96)(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) :: { ( 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 E22.507
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (R * Y2)^2, Y3 * Y1^-2 * Y3, (Y2, Y1), (R * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, Y2 * Y1^-4, Y1^-1 * Y3^-2 * Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 14, 50, 3, 39, 9, 45, 24, 60, 20, 56, 6, 42, 11, 47, 19, 55, 5, 41)(4, 40, 16, 52, 15, 51, 32, 68, 13, 49, 31, 67, 22, 58, 33, 69, 18, 54, 23, 59, 7, 43, 17, 53)(10, 46, 27, 63, 26, 62, 36, 72, 25, 61, 35, 71, 29, 65, 34, 70, 21, 57, 30, 66, 12, 48, 28, 64)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 94, 130)(80, 116, 96, 132, 91, 127)(82, 118, 97, 133, 93, 129)(84, 120, 98, 134, 101, 137)(88, 124, 103, 139, 95, 131)(89, 125, 104, 140, 105, 141)(99, 135, 107, 143, 102, 138)(100, 136, 108, 144, 106, 142)
	L = (1, 76)(2, 82)(3, 85)(4, 80)(5, 84)(6, 90)(7, 73)(8, 87)(9, 97)(10, 86)(11, 93)(12, 74)(13, 96)(14, 98)(15, 75)(16, 99)(17, 100)(18, 91)(19, 79)(20, 101)(21, 77)(22, 78)(23, 102)(24, 94)(25, 92)(26, 81)(27, 104)(28, 88)(29, 83)(30, 89)(31, 107)(32, 108)(33, 106)(34, 95)(35, 105)(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) :: { ( 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 E22.508
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^2 * Y1^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), Y1^-1 * Y3^2 * Y1^-1 * Y2^-1, Y3^-4 * Y2, (Y3^-2 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 6, 42, 11, 47, 24, 60, 14, 50, 3, 39, 9, 45, 17, 53, 5, 41)(4, 40, 16, 52, 7, 43, 23, 59, 19, 55, 34, 70, 22, 58, 32, 68, 13, 49, 31, 67, 15, 51, 18, 54)(10, 46, 26, 62, 12, 48, 30, 66, 28, 64, 33, 69, 29, 65, 35, 71, 25, 61, 36, 72, 20, 56, 27, 63)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 91, 127)(77, 113, 86, 122, 93, 129)(79, 115, 87, 123, 94, 130)(80, 116, 89, 125, 96, 132)(82, 118, 97, 133, 100, 136)(84, 120, 92, 128, 101, 137)(88, 124, 103, 139, 106, 142)(90, 126, 104, 140, 95, 131)(98, 134, 108, 144, 105, 141)(99, 135, 107, 143, 102, 138)
	L = (1, 76)(2, 82)(3, 85)(4, 89)(5, 92)(6, 91)(7, 73)(8, 79)(9, 97)(10, 77)(11, 100)(12, 74)(13, 96)(14, 101)(15, 75)(16, 105)(17, 87)(18, 102)(19, 80)(20, 81)(21, 84)(22, 78)(23, 107)(24, 94)(25, 86)(26, 104)(27, 106)(28, 93)(29, 83)(30, 103)(31, 98)(32, 99)(33, 90)(34, 108)(35, 88)(36, 95)(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, 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 E22.503
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, Y1^2 * Y3 * Y2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, (Y2 * Y1^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 16, 52, 32, 68, 30, 66, 35, 71, 25, 61, 33, 69, 23, 59, 12, 48, 4, 40)(3, 39, 9, 45, 17, 53, 13, 49, 22, 58, 8, 44, 21, 57, 31, 67, 34, 70, 29, 65, 26, 62, 10, 46)(5, 41, 14, 50, 18, 54, 27, 63, 36, 72, 24, 60, 28, 64, 11, 47, 20, 56, 7, 43, 19, 55, 15, 51)(73, 109, 75, 111, 77, 113)(74, 110, 79, 115, 80, 116)(76, 112, 83, 119, 85, 121)(78, 114, 89, 125, 90, 126)(81, 117, 95, 131, 96, 132)(82, 118, 97, 133, 99, 135)(84, 120, 98, 134, 91, 127)(86, 122, 101, 137, 102, 138)(87, 123, 103, 139, 88, 124)(92, 128, 105, 141, 106, 142)(93, 129, 100, 136, 107, 143)(94, 130, 108, 144, 104, 140)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 88)(7, 91)(8, 93)(9, 89)(10, 75)(11, 92)(12, 76)(13, 94)(14, 90)(15, 77)(16, 104)(17, 85)(18, 99)(19, 87)(20, 79)(21, 103)(22, 80)(23, 84)(24, 100)(25, 105)(26, 82)(27, 108)(28, 83)(29, 98)(30, 107)(31, 106)(32, 102)(33, 95)(34, 101)(35, 97)(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) :: { ( 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 E22.502
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-1 * Y2 * Y1 * Y2^-1, Y3 * Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1 * Y3 * Y2^-1, Y1 * Y3^3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, R * Y2^-1 * Y3^-1 * Y1 * R * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 16, 52, 32, 68, 14, 50, 30, 66, 27, 63, 36, 72, 19, 55, 21, 57, 5, 41)(3, 39, 13, 49, 28, 64, 22, 58, 34, 70, 11, 47, 23, 59, 35, 71, 12, 48, 33, 69, 10, 46, 15, 51)(4, 40, 17, 53, 20, 56, 31, 67, 9, 45, 29, 65, 25, 61, 6, 42, 24, 60, 26, 62, 7, 43, 18, 54)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 91, 127)(77, 113, 92, 128, 94, 130)(79, 115, 87, 123, 99, 135)(80, 116, 100, 136, 98, 134)(82, 118, 101, 137, 93, 129)(84, 120, 103, 139, 108, 144)(86, 122, 96, 132, 105, 141)(88, 124, 97, 133, 107, 143)(89, 125, 102, 138, 95, 131)(90, 126, 104, 140, 106, 142)
	L = (1, 76)(2, 82)(3, 86)(4, 80)(5, 84)(6, 83)(7, 73)(8, 92)(9, 102)(10, 88)(11, 98)(12, 74)(13, 101)(14, 100)(15, 103)(16, 75)(17, 87)(18, 105)(19, 95)(20, 104)(21, 79)(22, 78)(23, 77)(24, 93)(25, 108)(26, 107)(27, 106)(28, 99)(29, 94)(30, 97)(31, 85)(32, 81)(33, 89)(34, 91)(35, 90)(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) :: { ( 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 E22.509
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-2 * Y1^2, Y1^-1 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1 * Y2^-1 * Y3, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2, Y1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 26, 62, 35, 71, 17, 53, 31, 67, 25, 61, 34, 70, 23, 59, 20, 56, 5, 41)(3, 39, 13, 49, 28, 64, 21, 57, 33, 69, 11, 47, 27, 63, 7, 43, 18, 54, 4, 40, 16, 52, 14, 50)(6, 42, 19, 55, 22, 58, 36, 72, 12, 48, 32, 68, 10, 46, 15, 51, 30, 66, 9, 45, 29, 65, 24, 60)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 89, 125, 91, 127)(77, 113, 87, 123, 93, 129)(79, 115, 98, 134, 96, 132)(80, 116, 100, 136, 94, 130)(82, 118, 103, 139, 99, 135)(84, 120, 107, 143, 105, 141)(85, 121, 95, 131, 104, 140)(86, 122, 97, 133, 108, 144)(88, 124, 101, 137, 92, 128)(90, 126, 102, 138, 106, 142)
	L = (1, 76)(2, 82)(3, 81)(4, 80)(5, 84)(6, 95)(7, 73)(8, 86)(9, 100)(10, 98)(11, 92)(12, 74)(13, 103)(14, 107)(15, 75)(16, 87)(17, 101)(18, 104)(19, 99)(20, 79)(21, 106)(22, 77)(23, 94)(24, 105)(25, 78)(26, 102)(27, 108)(28, 96)(29, 97)(30, 89)(31, 93)(32, 88)(33, 91)(34, 83)(35, 85)(36, 90)(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, 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 E22.510
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^-1 * Y2 * Y3, (R * Y1)^2, Y3^-2 * Y1^-2, Y1^-2 * Y3^-2, (R * Y3)^2, Y1 * Y3^2 * Y1, (R * Y1)^2, Y2 * Y3^-2 * Y2 * Y1 * Y3, (Y3 * Y2^-1)^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 14, 50, 26, 62, 29, 65, 36, 72, 35, 71, 34, 70, 18, 54, 17, 53, 5, 41)(3, 39, 12, 48, 24, 60, 22, 58, 33, 69, 16, 52, 32, 68, 20, 56, 19, 55, 11, 47, 10, 46, 13, 49)(4, 40, 15, 51, 7, 43, 23, 59, 9, 45, 25, 61, 31, 67, 28, 64, 30, 66, 27, 63, 21, 57, 6, 42)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 88, 124, 90, 126)(77, 113, 79, 115, 92, 128)(80, 116, 96, 132, 87, 123)(82, 118, 99, 135, 89, 125)(84, 120, 101, 137, 102, 138)(85, 121, 86, 122, 103, 139)(91, 127, 100, 136, 106, 142)(93, 129, 94, 130, 107, 143)(95, 131, 98, 134, 105, 141)(97, 133, 108, 144, 104, 140)
	L = (1, 76)(2, 82)(3, 74)(4, 89)(5, 91)(6, 84)(7, 73)(8, 79)(9, 80)(10, 77)(11, 97)(12, 99)(13, 100)(14, 75)(15, 94)(16, 87)(17, 93)(18, 104)(19, 90)(20, 95)(21, 106)(22, 78)(23, 88)(24, 86)(25, 92)(26, 81)(27, 85)(28, 83)(29, 96)(30, 108)(31, 98)(32, 107)(33, 101)(34, 102)(35, 105)(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) :: { ( 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 E22.504
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y3^-1, Y2^3, (R * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3^-1, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^2 * Y3, Y1^-1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 27, 63, 29, 65, 36, 72, 33, 69, 34, 70, 21, 57, 16, 52, 5, 41)(3, 39, 12, 48, 24, 60, 32, 68, 28, 64, 35, 71, 26, 62, 19, 55, 17, 53, 4, 40, 15, 51, 7, 43)(6, 42, 20, 56, 10, 46, 18, 54, 11, 47, 9, 45, 25, 61, 23, 59, 31, 67, 13, 49, 30, 66, 14, 50)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 76, 112)(77, 113, 90, 126, 91, 127)(79, 115, 94, 130, 95, 131)(80, 116, 96, 132, 82, 118)(83, 119, 99, 135, 100, 136)(84, 120, 101, 137, 85, 121)(86, 122, 104, 140, 105, 141)(87, 123, 102, 138, 88, 124)(89, 125, 103, 139, 106, 142)(92, 128, 107, 143, 93, 129)(97, 133, 108, 144, 98, 134)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 78)(6, 93)(7, 73)(8, 79)(9, 98)(10, 77)(11, 74)(12, 80)(13, 87)(14, 75)(15, 95)(16, 91)(17, 81)(18, 100)(19, 106)(20, 96)(21, 102)(22, 83)(23, 89)(24, 86)(25, 94)(26, 90)(27, 84)(28, 92)(29, 97)(30, 105)(31, 101)(32, 99)(33, 103)(34, 107)(35, 108)(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) :: { ( 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 E22.505
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y2^-3 * Y3^-1, (R * Y2)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1^-2, Y1 * Y3 * Y1^-1 * Y3 * Y1, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 18, 54, 20, 56, 5, 41)(3, 39, 13, 49, 29, 65, 34, 70, 23, 59, 9, 45)(4, 40, 17, 53, 12, 48, 7, 43, 22, 58, 10, 46)(6, 42, 21, 57, 36, 72, 33, 69, 24, 60, 11, 47)(14, 50, 25, 61, 35, 71, 19, 55, 28, 64, 30, 66)(15, 51, 26, 62, 32, 68, 16, 52, 27, 63, 31, 67)(73, 109, 75, 111, 86, 122, 79, 115, 88, 124, 105, 141, 90, 126, 106, 142, 91, 127, 76, 112, 87, 123, 78, 114)(74, 110, 81, 117, 97, 133, 84, 120, 99, 135, 108, 144, 92, 128, 101, 137, 100, 136, 82, 118, 98, 134, 83, 119)(77, 113, 85, 121, 102, 138, 94, 130, 104, 140, 96, 132, 80, 116, 95, 131, 107, 143, 89, 125, 103, 139, 93, 129)
	L = (1, 76)(2, 82)(3, 87)(4, 90)(5, 89)(6, 91)(7, 73)(8, 94)(9, 98)(10, 92)(11, 100)(12, 74)(13, 103)(14, 78)(15, 106)(16, 75)(17, 80)(18, 79)(19, 105)(20, 84)(21, 107)(22, 77)(23, 104)(24, 102)(25, 83)(26, 101)(27, 81)(28, 108)(29, 99)(30, 93)(31, 95)(32, 85)(33, 86)(34, 88)(35, 96)(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) :: { ( 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 E22.491
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1, Y3^4, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * Y2^2 * Y3^-1, Y1 * Y3^-1 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 21, 57, 5, 41)(3, 39, 13, 49, 33, 69, 35, 71, 29, 65, 9, 45)(4, 40, 17, 53, 12, 48, 7, 43, 23, 59, 10, 46)(6, 42, 22, 58, 34, 70, 36, 72, 30, 66, 11, 47)(14, 50, 20, 56, 26, 62, 32, 68, 28, 64, 24, 60)(15, 51, 31, 67, 18, 54, 16, 52, 25, 61, 27, 63)(73, 109, 75, 111, 86, 122, 89, 125, 103, 139, 108, 144, 91, 127, 107, 143, 104, 140, 95, 131, 97, 133, 78, 114)(74, 110, 81, 117, 92, 128, 76, 112, 90, 126, 106, 142, 93, 129, 105, 141, 100, 136, 79, 115, 99, 135, 83, 119)(77, 113, 85, 121, 96, 132, 84, 120, 87, 123, 102, 138, 80, 116, 101, 137, 98, 134, 82, 118, 88, 124, 94, 130)
	L = (1, 76)(2, 82)(3, 87)(4, 91)(5, 89)(6, 96)(7, 73)(8, 95)(9, 103)(10, 93)(11, 86)(12, 74)(13, 99)(14, 106)(15, 107)(16, 75)(17, 80)(18, 85)(19, 79)(20, 94)(21, 84)(22, 100)(23, 77)(24, 108)(25, 81)(26, 78)(27, 101)(28, 102)(29, 90)(30, 92)(31, 105)(32, 83)(33, 97)(34, 104)(35, 88)(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) :: { ( 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 E22.492
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y2^3 * Y1 * Y3^-1, Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 21, 57, 5, 41)(3, 39, 13, 49, 33, 69, 35, 71, 29, 65, 9, 45)(4, 40, 17, 53, 12, 48, 7, 43, 23, 59, 10, 46)(6, 42, 22, 58, 34, 70, 36, 72, 30, 66, 11, 47)(14, 50, 24, 60, 28, 64, 32, 68, 26, 62, 20, 56)(15, 51, 27, 63, 25, 61, 16, 52, 18, 54, 31, 67)(73, 109, 75, 111, 86, 122, 82, 118, 103, 139, 108, 144, 91, 127, 107, 143, 104, 140, 84, 120, 97, 133, 78, 114)(74, 110, 81, 117, 96, 132, 95, 131, 87, 123, 106, 142, 93, 129, 105, 141, 98, 134, 89, 125, 88, 124, 83, 119)(76, 112, 90, 126, 102, 138, 80, 116, 101, 137, 100, 136, 79, 115, 99, 135, 94, 130, 77, 113, 85, 121, 92, 128)
	L = (1, 76)(2, 82)(3, 87)(4, 91)(5, 89)(6, 96)(7, 73)(8, 95)(9, 99)(10, 93)(11, 100)(12, 74)(13, 103)(14, 102)(15, 107)(16, 75)(17, 80)(18, 81)(19, 79)(20, 83)(21, 84)(22, 86)(23, 77)(24, 108)(25, 85)(26, 78)(27, 105)(28, 106)(29, 97)(30, 104)(31, 101)(32, 94)(33, 90)(34, 92)(35, 88)(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) :: { ( 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 E22.493
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^-1 * Y3^2, (R * Y3)^2, (R * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 15, 51, 5, 41)(3, 39, 9, 45, 21, 57, 28, 64, 16, 52, 6, 42)(4, 40, 10, 46, 22, 58, 29, 65, 17, 53, 7, 43)(11, 47, 23, 59, 33, 69, 30, 66, 18, 54, 12, 48)(13, 49, 24, 60, 34, 70, 31, 67, 19, 55, 14, 50)(25, 61, 35, 71, 36, 72, 32, 68, 27, 63, 26, 62)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 93, 129, 92, 128, 100, 136, 87, 123, 88, 124, 77, 113, 78, 114)(76, 112, 85, 121, 82, 118, 96, 132, 94, 130, 106, 142, 101, 137, 103, 139, 89, 125, 91, 127, 79, 115, 86, 122)(83, 119, 97, 133, 95, 131, 107, 143, 105, 141, 108, 144, 102, 138, 104, 140, 90, 126, 99, 135, 84, 120, 98, 134)
	L = (1, 76)(2, 82)(3, 83)(4, 74)(5, 79)(6, 84)(7, 73)(8, 94)(9, 95)(10, 80)(11, 81)(12, 75)(13, 97)(14, 98)(15, 89)(16, 90)(17, 77)(18, 78)(19, 99)(20, 101)(21, 105)(22, 92)(23, 93)(24, 107)(25, 96)(26, 85)(27, 86)(28, 102)(29, 87)(30, 88)(31, 104)(32, 91)(33, 100)(34, 108)(35, 106)(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) :: { ( 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 E22.494
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3 * Y2, (R * Y1^-1)^2, Y3^2 * Y2^-2, Y2^2 * Y3^-2, Y2 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y2^2 * Y3^-2, (R * Y1)^2, Y1^6, (Y1^-1 * Y2^-1)^4, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 18, 54, 5, 41)(3, 39, 10, 46, 29, 65, 32, 68, 19, 55, 7, 43)(4, 40, 15, 51, 25, 61, 30, 66, 20, 56, 16, 52)(6, 42, 11, 47, 9, 45, 26, 62, 31, 67, 21, 57)(12, 48, 27, 63, 35, 71, 34, 70, 23, 59, 14, 50)(13, 49, 28, 64, 36, 72, 33, 69, 22, 58, 17, 53)(73, 109, 75, 111, 84, 120, 87, 123, 100, 136, 98, 134, 96, 132, 104, 140, 106, 142, 92, 128, 94, 130, 78, 114)(74, 110, 81, 117, 99, 135, 101, 137, 108, 144, 102, 138, 90, 126, 93, 129, 95, 131, 79, 115, 89, 125, 76, 112)(77, 113, 88, 124, 86, 122, 83, 119, 85, 121, 82, 118, 80, 116, 97, 133, 107, 143, 103, 139, 105, 141, 91, 127)
	L = (1, 76)(2, 82)(3, 85)(4, 84)(5, 78)(6, 86)(7, 73)(8, 98)(9, 100)(10, 99)(11, 74)(12, 81)(13, 87)(14, 75)(15, 80)(16, 89)(17, 83)(18, 91)(19, 95)(20, 77)(21, 94)(22, 79)(23, 88)(24, 102)(25, 108)(26, 107)(27, 97)(28, 101)(29, 96)(30, 106)(31, 90)(32, 105)(33, 92)(34, 93)(35, 104)(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) :: { ( 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 E22.496
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y2^2 * Y3^-2, Y2 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, Y2^2 * Y3^-2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y2 * Y1^-1 * R * Y2^-1 * R, Y1^6, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-3, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 24, 60, 18, 54, 5, 41)(3, 39, 12, 48, 26, 62, 31, 67, 19, 55, 14, 50)(4, 40, 9, 45, 27, 63, 34, 70, 20, 56, 6, 42)(7, 43, 11, 47, 10, 46, 25, 61, 30, 66, 23, 59)(13, 49, 28, 64, 35, 71, 33, 69, 22, 58, 17, 53)(15, 51, 16, 52, 29, 65, 36, 72, 32, 68, 21, 57)(73, 109, 75, 111, 85, 121, 82, 118, 101, 137, 99, 135, 96, 132, 103, 139, 105, 141, 95, 131, 93, 129, 78, 114)(74, 110, 81, 117, 100, 136, 98, 134, 108, 144, 102, 138, 90, 126, 92, 128, 94, 130, 86, 122, 87, 123, 83, 119)(76, 112, 88, 124, 84, 120, 80, 116, 97, 133, 107, 143, 106, 142, 104, 140, 91, 127, 77, 113, 79, 115, 89, 125)
	L = (1, 76)(2, 82)(3, 74)(4, 85)(5, 86)(6, 87)(7, 73)(8, 98)(9, 80)(10, 100)(11, 88)(12, 101)(13, 84)(14, 89)(15, 75)(16, 81)(17, 83)(18, 95)(19, 93)(20, 77)(21, 79)(22, 78)(23, 94)(24, 106)(25, 96)(26, 107)(27, 108)(28, 99)(29, 97)(30, 104)(31, 90)(32, 92)(33, 91)(34, 105)(35, 102)(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) :: { ( 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 E22.497
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2), (Y3^-1, Y2), (Y3^-1, Y2), Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y1^-1, Y1^3 * Y3 * Y2, Y1 * Y3^-2 * Y1^-1 * Y2^-2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^2, Y3^-2 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^3, Y1 * Y3^-1 * Y1 * Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 15, 51, 22, 58, 5, 41)(3, 39, 13, 49, 11, 47, 7, 43, 26, 62, 10, 46)(4, 40, 17, 53, 25, 61, 6, 42, 24, 60, 19, 55)(9, 45, 27, 63, 21, 57, 12, 48, 32, 68, 23, 59)(14, 50, 28, 64, 35, 71, 16, 52, 29, 65, 34, 70)(18, 54, 30, 66, 36, 72, 20, 56, 31, 67, 33, 69)(73, 109, 75, 111, 86, 122, 104, 140, 92, 128, 76, 112, 87, 123, 79, 115, 88, 124, 99, 135, 90, 126, 78, 114)(74, 110, 81, 117, 100, 136, 97, 133, 103, 139, 82, 118, 94, 130, 84, 120, 101, 137, 91, 127, 102, 138, 83, 119)(77, 113, 89, 125, 106, 142, 98, 134, 108, 144, 93, 129, 80, 116, 96, 132, 107, 143, 85, 121, 105, 141, 95, 131)
	L = (1, 76)(2, 82)(3, 87)(4, 90)(5, 93)(6, 92)(7, 73)(8, 95)(9, 94)(10, 102)(11, 103)(12, 74)(13, 106)(14, 79)(15, 78)(16, 75)(17, 80)(18, 104)(19, 100)(20, 99)(21, 105)(22, 83)(23, 108)(24, 77)(25, 101)(26, 107)(27, 86)(28, 84)(29, 81)(30, 97)(31, 91)(32, 88)(33, 98)(34, 96)(35, 89)(36, 85)(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) :: { ( 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 E22.498
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y2 * Y1 * Y2, (R * Y1^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 20, 56, 16, 52, 5, 41)(3, 39, 6, 42, 10, 46, 22, 58, 27, 63, 12, 48)(4, 40, 9, 45, 21, 57, 32, 68, 17, 53, 7, 43)(11, 47, 18, 54, 24, 60, 36, 72, 28, 64, 13, 49)(14, 50, 15, 51, 23, 59, 35, 71, 33, 69, 19, 55)(25, 61, 26, 62, 34, 70, 31, 67, 30, 66, 29, 65)(73, 109, 75, 111, 77, 113, 84, 120, 88, 124, 99, 135, 92, 128, 94, 130, 80, 116, 82, 118, 74, 110, 78, 114)(76, 112, 86, 122, 79, 115, 91, 127, 89, 125, 105, 141, 104, 140, 107, 143, 93, 129, 95, 131, 81, 117, 87, 123)(83, 119, 97, 133, 85, 121, 101, 137, 100, 136, 102, 138, 108, 144, 103, 139, 96, 132, 106, 142, 90, 126, 98, 134)
	L = (1, 76)(2, 81)(3, 83)(4, 74)(5, 79)(6, 90)(7, 73)(8, 93)(9, 80)(10, 96)(11, 78)(12, 85)(13, 75)(14, 102)(15, 101)(16, 89)(17, 77)(18, 82)(19, 103)(20, 104)(21, 92)(22, 108)(23, 97)(24, 94)(25, 107)(26, 105)(27, 100)(28, 84)(29, 95)(30, 87)(31, 86)(32, 88)(33, 106)(34, 91)(35, 98)(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) :: { ( 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 E22.495
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y2, Y3^-1 * Y2^-2 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1^2, Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y3^-2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 30, 66, 21, 57, 5, 41)(3, 39, 13, 49, 11, 47, 22, 58, 12, 48, 16, 52)(4, 40, 17, 53, 23, 59, 9, 45, 24, 60, 20, 56)(6, 42, 25, 61, 7, 43, 28, 64, 10, 46, 27, 63)(14, 50, 31, 67, 34, 70, 35, 71, 18, 54, 26, 62)(15, 51, 32, 68, 36, 72, 33, 69, 19, 55, 29, 65)(73, 109, 75, 111, 86, 122, 89, 125, 104, 140, 100, 136, 102, 138, 94, 130, 107, 143, 96, 132, 91, 127, 78, 114)(74, 110, 81, 117, 103, 139, 99, 135, 108, 144, 88, 124, 93, 129, 76, 112, 90, 126, 79, 115, 101, 137, 83, 119)(77, 113, 82, 118, 98, 134, 84, 120, 87, 123, 92, 128, 80, 116, 97, 133, 106, 142, 85, 121, 105, 141, 95, 131)
	L = (1, 76)(2, 82)(3, 87)(4, 91)(5, 94)(6, 98)(7, 73)(8, 75)(9, 104)(10, 101)(11, 86)(12, 74)(13, 93)(14, 79)(15, 78)(16, 107)(17, 80)(18, 85)(19, 88)(20, 103)(21, 97)(22, 105)(23, 90)(24, 77)(25, 108)(26, 96)(27, 102)(28, 106)(29, 95)(30, 81)(31, 84)(32, 83)(33, 100)(34, 89)(35, 99)(36, 92)(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) :: { ( 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 E22.499
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-2 * Y3^-1, Y2^-2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y3^-1 * Y2^2, Y1^-2 * Y2^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1 * Y2 * R * Y2^-1 * R, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 30, 66, 24, 60, 5, 41)(3, 39, 13, 49, 11, 47, 20, 56, 4, 40, 16, 52)(6, 42, 26, 62, 23, 59, 12, 48, 22, 58, 27, 63)(7, 43, 28, 64, 10, 46, 25, 61, 9, 45, 29, 65)(14, 50, 31, 67, 34, 70, 35, 71, 15, 51, 21, 57)(17, 53, 18, 54, 32, 68, 36, 72, 33, 69, 19, 55)(73, 109, 75, 111, 86, 122, 82, 118, 104, 140, 84, 120, 102, 138, 92, 128, 107, 143, 101, 137, 91, 127, 78, 114)(74, 110, 81, 117, 103, 139, 99, 135, 108, 144, 88, 124, 96, 132, 100, 136, 87, 123, 95, 131, 89, 125, 83, 119)(76, 112, 90, 126, 79, 115, 80, 116, 98, 134, 106, 142, 85, 121, 105, 141, 97, 133, 77, 113, 94, 130, 93, 129)
	L = (1, 76)(2, 82)(3, 87)(4, 91)(5, 95)(6, 96)(7, 73)(8, 99)(9, 93)(10, 89)(11, 77)(12, 74)(13, 104)(14, 79)(15, 78)(16, 80)(17, 75)(18, 81)(19, 94)(20, 103)(21, 83)(22, 107)(23, 105)(24, 101)(25, 102)(26, 86)(27, 90)(28, 106)(29, 108)(30, 85)(31, 84)(32, 98)(33, 100)(34, 88)(35, 97)(36, 92)(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) :: { ( 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 E22.500
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y1^3, (R * Y3)^2, (Y2^-1, Y1), Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y2)^2, Y2^6, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 15, 51, 9, 45)(6, 42, 10, 46, 17, 53)(7, 43, 18, 54, 11, 47)(12, 48, 20, 56, 25, 61)(14, 50, 27, 63, 21, 57)(16, 52, 28, 64, 22, 58)(19, 55, 23, 59, 30, 66)(24, 60, 31, 67, 34, 70)(26, 62, 35, 71, 32, 68)(29, 65, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 96, 132, 91, 127, 78, 114)(74, 110, 80, 116, 92, 128, 103, 139, 95, 131, 82, 118)(76, 112, 79, 115, 86, 122, 98, 134, 101, 137, 88, 124)(77, 113, 85, 121, 97, 133, 106, 142, 102, 138, 89, 125)(81, 117, 83, 119, 93, 129, 104, 140, 105, 141, 94, 130)(87, 123, 90, 126, 99, 135, 107, 143, 108, 144, 100, 136)
	L = (1, 76)(2, 81)(3, 79)(4, 78)(5, 87)(6, 88)(7, 73)(8, 83)(9, 82)(10, 94)(11, 74)(12, 86)(13, 90)(14, 75)(15, 89)(16, 91)(17, 100)(18, 77)(19, 101)(20, 93)(21, 80)(22, 95)(23, 105)(24, 98)(25, 99)(26, 84)(27, 85)(28, 102)(29, 96)(30, 108)(31, 104)(32, 92)(33, 103)(34, 107)(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) :: { ( 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.535
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, Y2^-2 * Y1 * Y3^-1 * Y1 * Y3, Y2^6, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 15, 51, 16, 52)(6, 42, 10, 46, 19, 55)(7, 43, 22, 58, 23, 59)(9, 45, 14, 50, 26, 62)(11, 47, 28, 64, 29, 65)(12, 48, 24, 60, 31, 67)(17, 53, 20, 56, 33, 69)(18, 54, 25, 61, 34, 70)(21, 57, 27, 63, 35, 71)(30, 66, 32, 68, 36, 72)(73, 109, 75, 111, 84, 120, 102, 138, 93, 129, 78, 114)(74, 110, 80, 116, 96, 132, 104, 140, 99, 135, 82, 118)(76, 112, 79, 115, 86, 122, 100, 136, 106, 142, 89, 125)(77, 113, 85, 121, 103, 139, 108, 144, 107, 143, 91, 127)(81, 117, 83, 119, 97, 133, 105, 141, 88, 124, 95, 131)(87, 123, 94, 130, 98, 134, 101, 137, 90, 126, 92, 128)
	L = (1, 76)(2, 81)(3, 79)(4, 78)(5, 90)(6, 89)(7, 73)(8, 83)(9, 82)(10, 95)(11, 74)(12, 86)(13, 92)(14, 75)(15, 85)(16, 104)(17, 93)(18, 91)(19, 101)(20, 77)(21, 106)(22, 103)(23, 99)(24, 97)(25, 80)(26, 108)(27, 88)(28, 84)(29, 107)(30, 100)(31, 87)(32, 105)(33, 96)(34, 102)(35, 98)(36, 94)(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, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.536
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, Y3^4, (R * Y1)^2, R * Y2 * R * Y2^-1, (Y2, Y1^-1), (Y3, Y1^-1), Y2 * Y3^-1 * Y2^-2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 18, 54)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 23, 59, 30, 66)(13, 49, 24, 60, 31, 67)(15, 51, 25, 61, 32, 68)(16, 52, 26, 62, 33, 69)(17, 53, 27, 63, 34, 70)(21, 57, 28, 64, 35, 71)(22, 58, 29, 65, 36, 72)(73, 109, 75, 111, 84, 120, 89, 125, 93, 129, 78, 114)(74, 110, 80, 116, 95, 131, 99, 135, 100, 136, 82, 118)(76, 112, 88, 124, 87, 123, 79, 115, 94, 130, 85, 121)(77, 113, 86, 122, 102, 138, 106, 142, 107, 143, 91, 127)(81, 117, 98, 134, 97, 133, 83, 119, 101, 137, 96, 132)(90, 126, 105, 141, 104, 140, 92, 128, 108, 144, 103, 139)
	L = (1, 76)(2, 81)(3, 85)(4, 89)(5, 90)(6, 88)(7, 73)(8, 96)(9, 99)(10, 98)(11, 74)(12, 94)(13, 93)(14, 103)(15, 75)(16, 84)(17, 79)(18, 106)(19, 105)(20, 77)(21, 87)(22, 78)(23, 101)(24, 100)(25, 80)(26, 95)(27, 83)(28, 97)(29, 82)(30, 108)(31, 107)(32, 86)(33, 102)(34, 92)(35, 104)(36, 91)(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, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.538
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (R * Y1)^2, (Y2^-1, Y1), (R * Y3)^2, (Y3, Y1^-1), Y3 * Y1 * Y2 * Y3^-1 * Y2, R * Y2 * Y1 * R * Y2^-1, Y1^-1 * Y3^4, Y3^-1 * Y1 * Y2 * Y3 * Y2, Y2 * Y3 * Y2^-1 * Y3 * Y2, Y3 * Y2^-1 * Y1 * Y2^-2 * Y3, Y2^6, 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 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 18, 54)(6, 42, 10, 46, 20, 56)(7, 43, 11, 47, 21, 57)(12, 48, 28, 64, 35, 71)(13, 49, 19, 55, 30, 66)(15, 51, 26, 62, 34, 70)(16, 52, 22, 58, 31, 67)(17, 53, 29, 65, 27, 63)(23, 59, 32, 68, 36, 72)(24, 60, 33, 69, 25, 61)(73, 109, 75, 111, 84, 120, 101, 137, 95, 131, 78, 114)(74, 110, 80, 116, 100, 136, 99, 135, 104, 140, 82, 118)(76, 112, 88, 124, 87, 123, 93, 129, 105, 141, 91, 127)(77, 113, 86, 122, 107, 143, 89, 125, 108, 144, 92, 128)(79, 115, 97, 133, 102, 138, 81, 117, 94, 130, 98, 134)(83, 119, 96, 132, 85, 121, 90, 126, 103, 139, 106, 142)
	L = (1, 76)(2, 81)(3, 85)(4, 89)(5, 90)(6, 94)(7, 73)(8, 91)(9, 101)(10, 103)(11, 74)(12, 97)(13, 108)(14, 102)(15, 75)(16, 100)(17, 83)(18, 99)(19, 95)(20, 88)(21, 77)(22, 107)(23, 106)(24, 78)(25, 92)(26, 80)(27, 79)(28, 96)(29, 93)(30, 104)(31, 84)(32, 87)(33, 82)(34, 86)(35, 105)(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) :: { ( 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.537
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, (Y2, Y3^-1), Y1^4, Y2^-2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y1)^2, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y2, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2, (Y3 * Y1)^3, Y2^2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 25, 61, 16, 52)(4, 40, 18, 54, 7, 43, 19, 55)(6, 42, 22, 58, 26, 62, 23, 59)(9, 45, 27, 63, 20, 56, 30, 66)(10, 46, 32, 68, 12, 48, 33, 69)(11, 47, 34, 70, 21, 57, 35, 71)(14, 50, 28, 64, 24, 60, 36, 72)(15, 51, 29, 65, 17, 53, 31, 67)(73, 109, 75, 111, 86, 122, 76, 112, 87, 123, 98, 134, 80, 116, 97, 133, 96, 132, 79, 115, 89, 125, 78, 114)(74, 110, 81, 117, 100, 136, 82, 118, 101, 137, 93, 129, 77, 113, 92, 128, 108, 144, 84, 120, 103, 139, 83, 119)(85, 121, 107, 143, 90, 126, 102, 138, 95, 131, 105, 141, 88, 124, 106, 142, 91, 127, 99, 135, 94, 130, 104, 140)
	L = (1, 76)(2, 82)(3, 87)(4, 80)(5, 84)(6, 86)(7, 73)(8, 79)(9, 101)(10, 77)(11, 100)(12, 74)(13, 102)(14, 98)(15, 97)(16, 99)(17, 75)(18, 105)(19, 104)(20, 103)(21, 108)(22, 107)(23, 106)(24, 78)(25, 89)(26, 96)(27, 85)(28, 93)(29, 92)(30, 88)(31, 81)(32, 90)(33, 91)(34, 94)(35, 95)(36, 83)(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) :: { ( 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 E22.531
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 8^9, 24^3 ]

E22.536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3, Y3 * Y2, (R * Y1)^2, Y1^4, R * Y2 * R * Y3^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^3, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^6, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 5, 41)(3, 39, 9, 45, 17, 53, 11, 47)(4, 40, 12, 48, 18, 54, 14, 50)(7, 43, 19, 55, 15, 51, 21, 57)(8, 44, 22, 58, 16, 52, 24, 60)(10, 46, 20, 56, 31, 67, 27, 63)(13, 49, 23, 59, 32, 68, 30, 66)(25, 61, 36, 72, 28, 64, 34, 70)(26, 62, 35, 71, 29, 65, 33, 69)(73, 109, 75, 111, 82, 118, 98, 134, 104, 140, 90, 126, 78, 114, 89, 125, 103, 139, 101, 137, 85, 121, 76, 112)(74, 110, 79, 115, 92, 128, 106, 142, 102, 138, 88, 124, 77, 113, 87, 123, 99, 135, 108, 144, 95, 131, 80, 116)(81, 117, 96, 132, 107, 143, 93, 129, 86, 122, 100, 136, 83, 119, 94, 130, 105, 141, 91, 127, 84, 120, 97, 133)
	L = (1, 76)(2, 80)(3, 73)(4, 85)(5, 88)(6, 90)(7, 74)(8, 95)(9, 97)(10, 75)(11, 100)(12, 91)(13, 101)(14, 93)(15, 77)(16, 102)(17, 78)(18, 104)(19, 105)(20, 79)(21, 107)(22, 83)(23, 108)(24, 81)(25, 84)(26, 82)(27, 87)(28, 86)(29, 103)(30, 106)(31, 89)(32, 98)(33, 94)(34, 92)(35, 96)(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) :: { ( 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 E22.532
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 8^9, 24^3 ]

E22.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3 * Y1^-1, Y1 * Y2^2 * Y3^-1, Y3^3 * Y1^-1, (R * Y1)^2, Y3 * Y2^2 * Y3, Y1^4, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, R * Y2^-1 * Y3 * Y2 * R * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1)^3, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 23, 59, 16, 52)(4, 40, 10, 46, 24, 60, 14, 50)(6, 42, 22, 58, 25, 61, 17, 53)(7, 43, 12, 48, 26, 62, 21, 57)(9, 45, 27, 63, 19, 55, 29, 65)(11, 47, 32, 68, 20, 56, 30, 66)(15, 51, 31, 67, 35, 71, 33, 69)(18, 54, 28, 64, 36, 72, 34, 70)(73, 109, 75, 111, 86, 122, 105, 141, 93, 129, 97, 133, 80, 116, 95, 131, 82, 118, 103, 139, 84, 120, 78, 114)(74, 110, 81, 117, 76, 112, 90, 126, 79, 115, 92, 128, 77, 113, 91, 127, 96, 132, 108, 144, 98, 134, 83, 119)(85, 121, 102, 138, 87, 123, 101, 137, 89, 125, 106, 142, 88, 124, 104, 140, 107, 143, 99, 135, 94, 130, 100, 136)
	L = (1, 76)(2, 82)(3, 87)(4, 84)(5, 86)(6, 85)(7, 73)(8, 96)(9, 100)(10, 98)(11, 99)(12, 74)(13, 103)(14, 79)(15, 78)(16, 105)(17, 75)(18, 102)(19, 106)(20, 101)(21, 77)(22, 95)(23, 107)(24, 93)(25, 88)(26, 80)(27, 108)(28, 83)(29, 90)(30, 81)(31, 94)(32, 91)(33, 89)(34, 92)(35, 97)(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) :: { ( 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 E22.534
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 8^9, 24^3 ]

E22.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2 * Y3^-1, Y1^4, (R * Y3^-1)^2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2, Y3^2 * Y2^-2, R * Y3 * Y2^-1 * Y3^-1 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, R * Y2 * Y1 * Y2 * R * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^3, (Y1 * Y3^-1)^6, (Y3^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 13, 49, 23, 59, 15, 51)(4, 40, 10, 46, 24, 60, 17, 53)(6, 42, 14, 50, 25, 61, 22, 58)(7, 43, 12, 48, 26, 62, 21, 57)(9, 45, 27, 63, 19, 55, 29, 65)(11, 47, 28, 64, 20, 56, 32, 68)(16, 52, 31, 67, 35, 71, 34, 70)(18, 54, 30, 66, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 103, 139, 82, 118, 97, 133, 80, 116, 95, 131, 93, 129, 106, 142, 89, 125, 78, 114)(74, 110, 81, 117, 98, 134, 108, 144, 96, 132, 92, 128, 77, 113, 91, 127, 79, 115, 90, 126, 76, 112, 83, 119)(85, 121, 104, 140, 107, 143, 101, 137, 94, 130, 102, 138, 87, 123, 100, 136, 88, 124, 99, 135, 86, 122, 105, 141)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 88)(7, 73)(8, 96)(9, 100)(10, 98)(11, 102)(12, 74)(13, 97)(14, 103)(15, 78)(16, 75)(17, 79)(18, 101)(19, 104)(20, 105)(21, 77)(22, 106)(23, 94)(24, 93)(25, 107)(26, 80)(27, 92)(28, 108)(29, 83)(30, 81)(31, 85)(32, 90)(33, 91)(34, 87)(35, 95)(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) :: { ( 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 E22.533
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 8^9, 24^3 ]

E22.539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-2 * Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, (Y3, Y1) ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 21, 57, 27, 63)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(17, 53, 24, 60, 31, 67)(20, 56, 25, 61, 32, 68)(26, 62, 33, 69, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 78, 114)(74, 110, 80, 116, 93, 129, 82, 118)(76, 112, 85, 121, 98, 134, 89, 125)(77, 113, 86, 122, 99, 135, 90, 126)(79, 115, 87, 123, 100, 136, 92, 128)(81, 117, 94, 130, 105, 141, 96, 132)(83, 119, 95, 131, 106, 142, 97, 133)(88, 124, 101, 137, 107, 143, 103, 139)(91, 127, 102, 138, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 85)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 95)(10, 96)(11, 74)(12, 98)(13, 100)(14, 101)(15, 75)(16, 102)(17, 79)(18, 103)(19, 77)(20, 78)(21, 105)(22, 106)(23, 80)(24, 83)(25, 82)(26, 92)(27, 107)(28, 84)(29, 108)(30, 86)(31, 91)(32, 90)(33, 97)(34, 93)(35, 104)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.542
Graph:: simple bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (R * Y1)^2, (Y1^-1, Y2^-1), Y1^4, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, Y1^2 * Y2^-3, (Y1^-1 * Y3^-1)^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 10, 46, 23, 59, 17, 53)(6, 42, 11, 47, 13, 49, 19, 55)(7, 43, 12, 48, 24, 60, 20, 56)(14, 50, 25, 61, 34, 70, 31, 67)(16, 52, 26, 62, 36, 72, 32, 68)(18, 54, 27, 63, 29, 65, 33, 69)(22, 58, 28, 64, 30, 66, 35, 71)(73, 109, 75, 111, 85, 121, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 91, 127, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 101, 137, 95, 131, 106, 142, 90, 126)(79, 115, 88, 124, 102, 138, 96, 132, 108, 144, 94, 130)(82, 118, 97, 133, 105, 141, 89, 125, 103, 139, 99, 135)(84, 120, 98, 134, 107, 143, 92, 128, 104, 140, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 95)(9, 97)(10, 96)(11, 99)(12, 74)(13, 101)(14, 98)(15, 103)(16, 75)(17, 79)(18, 100)(19, 105)(20, 77)(21, 106)(22, 78)(23, 92)(24, 80)(25, 108)(26, 81)(27, 102)(28, 83)(29, 107)(30, 85)(31, 88)(32, 87)(33, 94)(34, 104)(35, 91)(36, 93)(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) :: { ( 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 E22.541
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 8^9, 12^6 ]

E22.541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (R * Y2)^2, (Y2, Y3^-1), (Y1^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1), Y2^-1 * Y3^4, Y3 * Y1 * Y2^-1 * Y1^2, Y1^-1 * Y3^2 * Y1^-2 * Y3, Y2^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1, (Y1 * Y3^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 15, 51, 27, 63, 35, 71, 31, 67, 36, 72, 33, 69, 18, 54, 19, 55, 5, 41)(3, 39, 9, 45, 24, 60, 22, 58, 29, 65, 34, 70, 23, 59, 30, 66, 17, 53, 4, 40, 10, 46, 14, 50)(6, 42, 11, 47, 21, 57, 7, 43, 12, 48, 25, 61, 16, 52, 28, 64, 32, 68, 13, 49, 26, 62, 20, 56)(73, 109, 75, 111, 78, 114)(74, 110, 81, 117, 83, 119)(76, 112, 85, 121, 90, 126)(77, 113, 86, 122, 92, 128)(79, 115, 87, 123, 94, 130)(80, 116, 96, 132, 93, 129)(82, 118, 98, 134, 91, 127)(84, 120, 99, 135, 101, 137)(88, 124, 103, 139, 95, 131)(89, 125, 104, 140, 105, 141)(97, 133, 107, 143, 106, 142)(100, 136, 108, 144, 102, 138)
	L = (1, 76)(2, 82)(3, 85)(4, 88)(5, 89)(6, 90)(7, 73)(8, 86)(9, 98)(10, 100)(11, 91)(12, 74)(13, 103)(14, 104)(15, 75)(16, 87)(17, 97)(18, 95)(19, 102)(20, 105)(21, 77)(22, 78)(23, 79)(24, 92)(25, 80)(26, 108)(27, 81)(28, 99)(29, 83)(30, 84)(31, 94)(32, 107)(33, 106)(34, 93)(35, 96)(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) :: { ( 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 E22.540
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, (Y3^-1, Y2^-1), (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-2 * Y1 * Y2^-1, Y1^6, (Y1 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 22, 58, 17, 53, 5, 41)(3, 39, 9, 45, 23, 59, 33, 69, 28, 64, 14, 50)(4, 40, 10, 46, 24, 60, 30, 66, 19, 55, 7, 43)(6, 42, 11, 47, 25, 61, 34, 70, 29, 65, 18, 54)(12, 48, 26, 62, 35, 71, 32, 68, 21, 57, 16, 52)(13, 49, 27, 63, 36, 72, 31, 67, 20, 56, 15, 51)(73, 109, 75, 111, 84, 120, 82, 118, 99, 135, 106, 142, 94, 130, 105, 141, 104, 140, 91, 127, 92, 128, 78, 114)(74, 110, 81, 117, 98, 134, 96, 132, 108, 144, 101, 137, 89, 125, 100, 136, 93, 129, 79, 115, 87, 123, 83, 119)(76, 112, 85, 121, 97, 133, 80, 116, 95, 131, 107, 143, 102, 138, 103, 139, 90, 126, 77, 113, 86, 122, 88, 124)
	L = (1, 76)(2, 82)(3, 85)(4, 74)(5, 79)(6, 88)(7, 73)(8, 96)(9, 99)(10, 80)(11, 84)(12, 97)(13, 81)(14, 87)(15, 75)(16, 83)(17, 91)(18, 93)(19, 77)(20, 86)(21, 78)(22, 102)(23, 108)(24, 94)(25, 98)(26, 106)(27, 95)(28, 92)(29, 104)(30, 89)(31, 100)(32, 90)(33, 103)(34, 107)(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) :: { ( 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 E22.539
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^2, Y1^3, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y2^6, (Y3 * Y2^-1)^4, 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 15, 51)(6, 42, 10, 46, 17, 53)(7, 43, 11, 47, 18, 54)(12, 48, 20, 56, 25, 61)(14, 50, 21, 57, 27, 63)(16, 52, 22, 58, 28, 64)(19, 55, 23, 59, 30, 66)(24, 60, 31, 67, 34, 70)(26, 62, 32, 68, 35, 71)(29, 65, 33, 69, 36, 72)(73, 109, 75, 111, 84, 120, 96, 132, 91, 127, 78, 114)(74, 110, 80, 116, 92, 128, 103, 139, 95, 131, 82, 118)(76, 112, 79, 115, 86, 122, 98, 134, 101, 137, 88, 124)(77, 113, 85, 121, 97, 133, 106, 142, 102, 138, 89, 125)(81, 117, 83, 119, 93, 129, 104, 140, 105, 141, 94, 130)(87, 123, 90, 126, 99, 135, 107, 143, 108, 144, 100, 136)
	L = (1, 76)(2, 81)(3, 79)(4, 78)(5, 87)(6, 88)(7, 73)(8, 83)(9, 82)(10, 94)(11, 74)(12, 86)(13, 90)(14, 75)(15, 89)(16, 91)(17, 100)(18, 77)(19, 101)(20, 93)(21, 80)(22, 95)(23, 105)(24, 98)(25, 99)(26, 84)(27, 85)(28, 102)(29, 96)(30, 108)(31, 104)(32, 92)(33, 103)(34, 107)(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) :: { ( 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.544
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-2, (Y3, Y1^-1), (Y2, Y1), (R * Y2)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y2, Y3^-1), Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-2, Y1^2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 9, 45, 21, 57, 15, 51)(4, 40, 10, 46, 22, 58, 17, 53)(6, 42, 11, 47, 23, 59, 13, 49)(7, 43, 12, 48, 24, 60, 19, 55)(14, 50, 25, 61, 33, 69, 31, 67)(16, 52, 26, 62, 34, 70, 32, 68)(18, 54, 27, 63, 35, 71, 29, 65)(20, 56, 28, 64, 36, 72, 30, 66)(73, 109, 75, 111, 85, 121, 77, 113, 87, 123, 95, 131, 80, 116, 93, 129, 83, 119, 74, 110, 81, 117, 78, 114)(76, 112, 86, 122, 101, 137, 89, 125, 103, 139, 107, 143, 94, 130, 105, 141, 99, 135, 82, 118, 97, 133, 90, 126)(79, 115, 88, 124, 102, 138, 91, 127, 104, 140, 108, 144, 96, 132, 106, 142, 100, 136, 84, 120, 98, 134, 92, 128)
	L = (1, 76)(2, 82)(3, 86)(4, 84)(5, 89)(6, 90)(7, 73)(8, 94)(9, 97)(10, 96)(11, 99)(12, 74)(13, 101)(14, 98)(15, 103)(16, 75)(17, 79)(18, 100)(19, 77)(20, 78)(21, 105)(22, 91)(23, 107)(24, 80)(25, 106)(26, 81)(27, 108)(28, 83)(29, 92)(30, 85)(31, 88)(32, 87)(33, 104)(34, 93)(35, 102)(36, 95)(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) :: { ( 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 E22.543
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 8^9, 24^3 ]

E22.545 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 10, 46, 16, 52, 22, 58, 28, 64, 34, 70, 29, 65, 23, 59, 17, 53, 11, 47, 5, 41)(2, 38, 6, 42, 12, 48, 18, 54, 24, 60, 30, 66, 35, 71, 31, 67, 25, 61, 19, 55, 13, 49, 7, 43)(3, 39, 8, 44, 14, 50, 20, 56, 26, 62, 32, 68, 36, 72, 33, 69, 27, 63, 21, 57, 15, 51, 9, 45)(73, 74, 75)(76, 80, 78)(77, 81, 79)(82, 84, 86)(83, 85, 87)(88, 92, 90)(89, 93, 91)(94, 96, 98)(95, 97, 99)(100, 104, 102)(101, 105, 103)(106, 107, 108)(109, 111, 110)(112, 114, 116)(113, 115, 117)(118, 122, 120)(119, 123, 121)(124, 126, 128)(125, 127, 129)(130, 134, 132)(131, 135, 133)(136, 138, 140)(137, 139, 141)(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) :: { ( 48^3 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.551
Graph:: simple bipartite
	v = 27 e = 72 f = 3
	degree seq :: [ 3^24, 24^3 ]

E22.546 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1, Y2^-1), Y3 * Y2^-1 * Y3^-1 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y3^3 * Y2^-1 * Y3, Y2 * Y1 * Y3^8 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 15, 51, 23, 59, 8, 44, 22, 58, 36, 72, 33, 69, 18, 54, 32, 68, 21, 57, 7, 43)(2, 38, 9, 45, 24, 60, 30, 66, 13, 49, 29, 65, 35, 71, 20, 56, 6, 42, 16, 52, 27, 63, 11, 47)(3, 39, 12, 48, 28, 64, 26, 62, 10, 46, 25, 61, 34, 70, 19, 55, 5, 41, 17, 53, 31, 67, 14, 50)(73, 74, 77)(75, 80, 85)(76, 84, 88)(78, 82, 90)(79, 86, 92)(81, 94, 97)(83, 95, 98)(87, 96, 103)(89, 101, 104)(91, 102, 105)(93, 99, 106)(100, 108, 107)(109, 111, 114)(110, 116, 118)(112, 117, 125)(113, 121, 126)(115, 119, 127)(120, 130, 137)(122, 131, 138)(123, 136, 135)(124, 133, 140)(128, 134, 141)(129, 139, 143)(132, 144, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 48^3 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.552
Graph:: simple bipartite
	v = 27 e = 72 f = 3
	degree seq :: [ 3^24, 24^3 ]

E22.547 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-2 * Y2^2, (Y2^-1 * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y2^-1 * Y1^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, R * Y2 * R * Y1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y2^5 * Y1, (Y3 * Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 17, 53, 15, 51)(6, 42, 20, 56, 16, 52)(8, 44, 23, 59, 24, 60)(9, 45, 25, 61, 26, 62)(11, 47, 28, 64, 27, 63)(18, 54, 29, 65, 31, 67)(19, 55, 30, 66, 32, 68)(21, 57, 33, 69, 34, 70)(22, 58, 35, 71, 36, 72)(73, 74, 80, 93, 91, 78, 83, 75, 81, 94, 90, 77)(76, 84, 95, 106, 102, 88, 100, 86, 97, 108, 101, 87)(79, 82, 96, 105, 104, 92, 99, 85, 98, 107, 103, 89)(109, 111, 116, 130, 127, 113, 119, 110, 117, 129, 126, 114)(112, 122, 131, 144, 138, 123, 136, 120, 133, 142, 137, 124)(115, 121, 132, 143, 140, 125, 135, 118, 134, 141, 139, 128)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.554
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.548 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2^-1, Y1), Y1^-2 * Y2^2, (Y2 * Y1^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3, Y3 * Y1^2 * Y3^-1 * Y2^-2, Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3 * Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 17, 53, 20, 56)(6, 42, 21, 57, 22, 58)(8, 44, 27, 63, 28, 64)(9, 45, 29, 65, 30, 66)(11, 47, 33, 69, 34, 70)(15, 51, 26, 62, 24, 60)(16, 52, 25, 61, 23, 59)(18, 54, 36, 72, 31, 67)(19, 55, 35, 71, 32, 68)(73, 74, 80, 97, 91, 78, 83, 75, 81, 98, 90, 77)(76, 87, 99, 92, 107, 84, 105, 88, 101, 94, 108, 86)(79, 93, 100, 85, 104, 96, 106, 89, 102, 82, 103, 95)(109, 111, 116, 134, 127, 113, 119, 110, 117, 133, 126, 114)(112, 124, 135, 130, 143, 122, 141, 123, 137, 128, 144, 120)(115, 125, 136, 118, 140, 131, 142, 129, 138, 121, 139, 132)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.553
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.549 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1, Y1^-1), Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y2^-1 * Y1)^2, Y1^2 * Y2^-2, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y2^-1 * Y1^-5, Y3^-1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 7, 43)(2, 38, 10, 46, 12, 48)(3, 39, 13, 49, 14, 50)(5, 41, 19, 55, 16, 52)(6, 42, 22, 58, 15, 51)(8, 44, 27, 63, 28, 64)(9, 45, 29, 65, 30, 66)(11, 47, 34, 70, 31, 67)(17, 53, 25, 61, 24, 60)(18, 54, 26, 62, 23, 59)(20, 56, 35, 71, 33, 69)(21, 57, 36, 72, 32, 68)(73, 74, 80, 97, 93, 78, 83, 75, 81, 98, 92, 77)(76, 87, 99, 86, 108, 90, 106, 88, 101, 84, 107, 89)(79, 95, 100, 91, 104, 82, 103, 96, 102, 94, 105, 85)(109, 111, 116, 134, 129, 113, 119, 110, 117, 133, 128, 114)(112, 124, 135, 120, 144, 125, 142, 123, 137, 122, 143, 126)(115, 132, 136, 130, 140, 121, 139, 131, 138, 127, 141, 118)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.555
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.550 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C12 x S3 (small group id <72, 27>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y1^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 4, 40, 5, 41)(2, 38, 7, 43, 8, 44)(3, 39, 10, 46, 11, 47)(6, 42, 13, 49, 14, 50)(9, 45, 16, 52, 17, 53)(12, 48, 19, 55, 20, 56)(15, 51, 22, 58, 23, 59)(18, 54, 25, 61, 26, 62)(21, 57, 28, 64, 29, 65)(24, 60, 31, 67, 32, 68)(27, 63, 33, 69, 34, 70)(30, 66, 35, 71, 36, 72)(73, 74, 78, 84, 90, 96, 102, 99, 93, 87, 81, 75)(76, 80, 85, 92, 97, 104, 107, 106, 100, 95, 88, 83)(77, 79, 86, 91, 98, 103, 108, 105, 101, 94, 89, 82)(109, 111, 117, 123, 129, 135, 138, 132, 126, 120, 114, 110)(112, 119, 124, 131, 136, 142, 143, 140, 133, 128, 121, 116)(113, 118, 125, 130, 137, 141, 144, 139, 134, 127, 122, 115)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.556
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.551 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 10, 46, 82, 118, 16, 52, 88, 124, 22, 58, 94, 130, 28, 64, 100, 136, 34, 70, 106, 142, 29, 65, 101, 137, 23, 59, 95, 131, 17, 53, 89, 125, 11, 47, 83, 119, 5, 41, 77, 113)(2, 38, 74, 110, 6, 42, 78, 114, 12, 48, 84, 120, 18, 54, 90, 126, 24, 60, 96, 132, 30, 66, 102, 138, 35, 71, 107, 143, 31, 67, 103, 139, 25, 61, 97, 133, 19, 55, 91, 127, 13, 49, 85, 121, 7, 43, 79, 115)(3, 39, 75, 111, 8, 44, 80, 116, 14, 50, 86, 122, 20, 56, 92, 128, 26, 62, 98, 134, 32, 68, 104, 140, 36, 72, 108, 144, 33, 69, 105, 141, 27, 63, 99, 135, 21, 57, 93, 129, 15, 51, 87, 123, 9, 45, 81, 117)
	L = (1, 38)(2, 39)(3, 37)(4, 44)(5, 45)(6, 40)(7, 41)(8, 42)(9, 43)(10, 48)(11, 49)(12, 50)(13, 51)(14, 46)(15, 47)(16, 56)(17, 57)(18, 52)(19, 53)(20, 54)(21, 55)(22, 60)(23, 61)(24, 62)(25, 63)(26, 58)(27, 59)(28, 68)(29, 69)(30, 64)(31, 65)(32, 66)(33, 67)(34, 71)(35, 72)(36, 70)(73, 111)(74, 109)(75, 110)(76, 114)(77, 115)(78, 116)(79, 117)(80, 112)(81, 113)(82, 122)(83, 123)(84, 118)(85, 119)(86, 120)(87, 121)(88, 126)(89, 127)(90, 128)(91, 129)(92, 124)(93, 125)(94, 134)(95, 135)(96, 130)(97, 131)(98, 132)(99, 133)(100, 138)(101, 139)(102, 140)(103, 141)(104, 136)(105, 137)(106, 144)(107, 142)(108, 143)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.545
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 27
	degree seq :: [ 48^3 ]

E22.552 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1, Y2^-1), Y3 * Y2^-1 * Y3^-1 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y2, Y2^-1 * Y3^3 * Y2^-1 * Y3, Y2 * Y1 * Y3^8 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 15, 51, 87, 123, 23, 59, 95, 131, 8, 44, 80, 116, 22, 58, 94, 130, 36, 72, 108, 144, 33, 69, 105, 141, 18, 54, 90, 126, 32, 68, 104, 140, 21, 57, 93, 129, 7, 43, 79, 115)(2, 38, 74, 110, 9, 45, 81, 117, 24, 60, 96, 132, 30, 66, 102, 138, 13, 49, 85, 121, 29, 65, 101, 137, 35, 71, 107, 143, 20, 56, 92, 128, 6, 42, 78, 114, 16, 52, 88, 124, 27, 63, 99, 135, 11, 47, 83, 119)(3, 39, 75, 111, 12, 48, 84, 120, 28, 64, 100, 136, 26, 62, 98, 134, 10, 46, 82, 118, 25, 61, 97, 133, 34, 70, 106, 142, 19, 55, 91, 127, 5, 41, 77, 113, 17, 53, 89, 125, 31, 67, 103, 139, 14, 50, 86, 122)
	L = (1, 38)(2, 41)(3, 44)(4, 48)(5, 37)(6, 46)(7, 50)(8, 49)(9, 58)(10, 54)(11, 59)(12, 52)(13, 39)(14, 56)(15, 60)(16, 40)(17, 65)(18, 42)(19, 66)(20, 43)(21, 63)(22, 61)(23, 62)(24, 67)(25, 45)(26, 47)(27, 70)(28, 72)(29, 68)(30, 69)(31, 51)(32, 53)(33, 55)(34, 57)(35, 64)(36, 71)(73, 111)(74, 116)(75, 114)(76, 117)(77, 121)(78, 109)(79, 119)(80, 118)(81, 125)(82, 110)(83, 127)(84, 130)(85, 126)(86, 131)(87, 136)(88, 133)(89, 112)(90, 113)(91, 115)(92, 134)(93, 139)(94, 137)(95, 138)(96, 144)(97, 140)(98, 141)(99, 123)(100, 135)(101, 120)(102, 122)(103, 143)(104, 124)(105, 128)(106, 132)(107, 129)(108, 142)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.546
Transitivity :: VT+
Graph::
	v = 3 e = 72 f = 27
	degree seq :: [ 48^3 ]

E22.553 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-2 * Y2^2, (Y2^-1 * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, Y2^-1 * Y1^2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, R * Y2 * R * Y1, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y2^5 * Y1, (Y3 * Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 17, 53, 89, 125, 15, 51, 87, 123)(6, 42, 78, 114, 20, 56, 92, 128, 16, 52, 88, 124)(8, 44, 80, 116, 23, 59, 95, 131, 24, 60, 96, 132)(9, 45, 81, 117, 25, 61, 97, 133, 26, 62, 98, 134)(11, 47, 83, 119, 28, 64, 100, 136, 27, 63, 99, 135)(18, 54, 90, 126, 29, 65, 101, 137, 31, 67, 103, 139)(19, 55, 91, 127, 30, 66, 102, 138, 32, 68, 104, 140)(21, 57, 93, 129, 33, 69, 105, 141, 34, 70, 106, 142)(22, 58, 94, 130, 35, 71, 107, 143, 36, 72, 108, 144)
	L = (1, 38)(2, 44)(3, 45)(4, 48)(5, 37)(6, 47)(7, 46)(8, 57)(9, 58)(10, 60)(11, 39)(12, 59)(13, 62)(14, 61)(15, 40)(16, 64)(17, 43)(18, 41)(19, 42)(20, 63)(21, 55)(22, 54)(23, 70)(24, 69)(25, 72)(26, 71)(27, 49)(28, 50)(29, 51)(30, 52)(31, 53)(32, 56)(33, 68)(34, 66)(35, 67)(36, 65)(73, 111)(74, 117)(75, 116)(76, 122)(77, 119)(78, 109)(79, 121)(80, 130)(81, 129)(82, 134)(83, 110)(84, 133)(85, 132)(86, 131)(87, 136)(88, 112)(89, 135)(90, 114)(91, 113)(92, 115)(93, 126)(94, 127)(95, 144)(96, 143)(97, 142)(98, 141)(99, 118)(100, 120)(101, 124)(102, 123)(103, 128)(104, 125)(105, 139)(106, 137)(107, 140)(108, 138)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.548
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.554 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y2 * Y3^-1, (Y2^-1, Y1), Y1^-2 * Y2^2, (Y2 * Y1^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3, Y3 * Y1^2 * Y3^-1 * Y2^-2, Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3 * Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 17, 53, 89, 125, 20, 56, 92, 128)(6, 42, 78, 114, 21, 57, 93, 129, 22, 58, 94, 130)(8, 44, 80, 116, 27, 63, 99, 135, 28, 64, 100, 136)(9, 45, 81, 117, 29, 65, 101, 137, 30, 66, 102, 138)(11, 47, 83, 119, 33, 69, 105, 141, 34, 70, 106, 142)(15, 51, 87, 123, 26, 62, 98, 134, 24, 60, 96, 132)(16, 52, 88, 124, 25, 61, 97, 133, 23, 59, 95, 131)(18, 54, 90, 126, 36, 72, 108, 144, 31, 67, 103, 139)(19, 55, 91, 127, 35, 71, 107, 143, 32, 68, 104, 140)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 57)(8, 61)(9, 62)(10, 67)(11, 39)(12, 69)(13, 68)(14, 40)(15, 63)(16, 65)(17, 66)(18, 41)(19, 42)(20, 71)(21, 64)(22, 72)(23, 43)(24, 70)(25, 55)(26, 54)(27, 56)(28, 49)(29, 58)(30, 46)(31, 59)(32, 60)(33, 52)(34, 53)(35, 48)(36, 50)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 125)(80, 134)(81, 133)(82, 140)(83, 110)(84, 112)(85, 139)(86, 141)(87, 137)(88, 135)(89, 136)(90, 114)(91, 113)(92, 144)(93, 138)(94, 143)(95, 142)(96, 115)(97, 126)(98, 127)(99, 130)(100, 118)(101, 128)(102, 121)(103, 132)(104, 131)(105, 123)(106, 129)(107, 122)(108, 120)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.547
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.555 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C3 x (C3 : C4)) : C2 (small group id <72, 21>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2^-1, Y1^-1), Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y2^-1 * Y1)^2, Y1^2 * Y2^-2, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, Y2^-1 * Y1^-5, Y3^-1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 7, 43, 79, 115)(2, 38, 74, 110, 10, 46, 82, 118, 12, 48, 84, 120)(3, 39, 75, 111, 13, 49, 85, 121, 14, 50, 86, 122)(5, 41, 77, 113, 19, 55, 91, 127, 16, 52, 88, 124)(6, 42, 78, 114, 22, 58, 94, 130, 15, 51, 87, 123)(8, 44, 80, 116, 27, 63, 99, 135, 28, 64, 100, 136)(9, 45, 81, 117, 29, 65, 101, 137, 30, 66, 102, 138)(11, 47, 83, 119, 34, 70, 106, 142, 31, 67, 103, 139)(17, 53, 89, 125, 25, 61, 97, 133, 24, 60, 96, 132)(18, 54, 90, 126, 26, 62, 98, 134, 23, 59, 95, 131)(20, 56, 92, 128, 35, 71, 107, 143, 33, 69, 105, 141)(21, 57, 93, 129, 36, 72, 108, 144, 32, 68, 104, 140)
	L = (1, 38)(2, 44)(3, 45)(4, 51)(5, 37)(6, 47)(7, 59)(8, 61)(9, 62)(10, 67)(11, 39)(12, 71)(13, 43)(14, 72)(15, 63)(16, 65)(17, 40)(18, 70)(19, 68)(20, 41)(21, 42)(22, 69)(23, 64)(24, 66)(25, 57)(26, 56)(27, 50)(28, 55)(29, 48)(30, 58)(31, 60)(32, 46)(33, 49)(34, 52)(35, 53)(36, 54)(73, 111)(74, 117)(75, 116)(76, 124)(77, 119)(78, 109)(79, 132)(80, 134)(81, 133)(82, 115)(83, 110)(84, 144)(85, 139)(86, 143)(87, 137)(88, 135)(89, 142)(90, 112)(91, 141)(92, 114)(93, 113)(94, 140)(95, 138)(96, 136)(97, 128)(98, 129)(99, 120)(100, 130)(101, 122)(102, 127)(103, 131)(104, 121)(105, 118)(106, 123)(107, 126)(108, 125)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.549
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.556 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = C12 x S3 (small group id <72, 27>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y3 * Y1^-1, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 8, 44, 80, 116)(3, 39, 75, 111, 10, 46, 82, 118, 11, 47, 83, 119)(6, 42, 78, 114, 13, 49, 85, 121, 14, 50, 86, 122)(9, 45, 81, 117, 16, 52, 88, 124, 17, 53, 89, 125)(12, 48, 84, 120, 19, 55, 91, 127, 20, 56, 92, 128)(15, 51, 87, 123, 22, 58, 94, 130, 23, 59, 95, 131)(18, 54, 90, 126, 25, 61, 97, 133, 26, 62, 98, 134)(21, 57, 93, 129, 28, 64, 100, 136, 29, 65, 101, 137)(24, 60, 96, 132, 31, 67, 103, 139, 32, 68, 104, 140)(27, 63, 99, 135, 33, 69, 105, 141, 34, 70, 106, 142)(30, 66, 102, 138, 35, 71, 107, 143, 36, 72, 108, 144)
	L = (1, 38)(2, 42)(3, 37)(4, 44)(5, 43)(6, 48)(7, 50)(8, 49)(9, 39)(10, 41)(11, 40)(12, 54)(13, 56)(14, 55)(15, 45)(16, 47)(17, 46)(18, 60)(19, 62)(20, 61)(21, 51)(22, 53)(23, 52)(24, 66)(25, 68)(26, 67)(27, 57)(28, 59)(29, 58)(30, 63)(31, 72)(32, 71)(33, 65)(34, 64)(35, 70)(36, 69)(73, 111)(74, 109)(75, 117)(76, 119)(77, 118)(78, 110)(79, 113)(80, 112)(81, 123)(82, 125)(83, 124)(84, 114)(85, 116)(86, 115)(87, 129)(88, 131)(89, 130)(90, 120)(91, 122)(92, 121)(93, 135)(94, 137)(95, 136)(96, 126)(97, 128)(98, 127)(99, 138)(100, 142)(101, 141)(102, 132)(103, 134)(104, 133)(105, 144)(106, 143)(107, 140)(108, 139)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.550
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2^-1, Y1^-1), (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2)^2, (Y3, Y2), Y2^-1 * Y3^-1 * Y1 * Y3 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3 * Y1, Y1^-1 * Y3^2 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 15, 51, 17, 53)(6, 42, 10, 46, 20, 56)(7, 43, 23, 59, 24, 60)(9, 45, 12, 48, 28, 64)(11, 47, 14, 50, 29, 65)(16, 52, 27, 63, 32, 68)(18, 54, 19, 55, 25, 61)(21, 57, 26, 62, 22, 58)(30, 66, 35, 71, 31, 67)(33, 69, 34, 70, 36, 72)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 84, 120, 90, 126)(77, 113, 85, 121, 92, 128)(79, 115, 86, 122, 94, 130)(81, 117, 97, 133, 89, 125)(83, 119, 98, 134, 96, 132)(87, 123, 100, 136, 91, 127)(88, 124, 102, 138, 105, 141)(93, 129, 95, 131, 101, 137)(99, 135, 107, 143, 106, 142)(103, 139, 108, 144, 104, 140)
	L = (1, 76)(2, 81)(3, 84)(4, 88)(5, 91)(6, 90)(7, 73)(8, 97)(9, 99)(10, 89)(11, 74)(12, 102)(13, 87)(14, 75)(15, 103)(16, 79)(17, 106)(18, 105)(19, 104)(20, 100)(21, 77)(22, 78)(23, 85)(24, 82)(25, 107)(26, 80)(27, 83)(28, 108)(29, 92)(30, 86)(31, 95)(32, 93)(33, 94)(34, 96)(35, 98)(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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.578
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 6, 42)(5, 41, 10, 46, 7, 43)(9, 45, 12, 48, 14, 50)(11, 47, 13, 49, 16, 52)(15, 51, 20, 56, 18, 54)(17, 53, 22, 58, 19, 55)(21, 57, 24, 60, 26, 62)(23, 59, 25, 61, 28, 64)(27, 63, 32, 68, 30, 66)(29, 65, 34, 70, 31, 67)(33, 69, 35, 71, 36, 72)(73, 109, 75, 111, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)(74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115)(76, 112, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118)
	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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1 * Y2^-2 * Y1^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 10, 46)(5, 41, 13, 49, 14, 50)(6, 42, 16, 52, 18, 54)(7, 43, 19, 55, 20, 56)(9, 45, 17, 53, 25, 61)(11, 47, 28, 64, 29, 65)(12, 48, 30, 66, 24, 60)(15, 51, 21, 57, 22, 58)(23, 59, 32, 68, 35, 71)(26, 62, 31, 67, 34, 70)(27, 63, 33, 69, 36, 72)(73, 109, 75, 111, 81, 117, 96, 132, 108, 144, 101, 137, 106, 142, 91, 127, 104, 140, 88, 124, 87, 123, 77, 113)(74, 110, 78, 114, 89, 125, 86, 122, 99, 135, 82, 118, 98, 134, 102, 138, 107, 143, 100, 136, 93, 129, 79, 115)(76, 112, 83, 119, 97, 133, 92, 128, 105, 141, 90, 126, 103, 139, 85, 121, 95, 131, 80, 116, 94, 130, 84, 120)
	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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y2^-3 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 10, 46)(5, 41, 13, 49, 14, 50)(6, 42, 16, 52, 18, 54)(7, 43, 19, 55, 20, 56)(9, 45, 17, 53, 24, 60)(11, 47, 26, 62, 27, 63)(12, 48, 28, 64, 29, 65)(15, 51, 21, 57, 30, 66)(22, 58, 32, 68, 31, 67)(23, 59, 33, 69, 35, 71)(25, 61, 34, 70, 36, 72)(73, 109, 75, 111, 81, 117, 91, 127, 105, 141, 88, 124, 104, 140, 101, 137, 108, 144, 99, 135, 87, 123, 77, 113)(74, 110, 78, 114, 89, 125, 100, 136, 107, 143, 98, 134, 103, 139, 86, 122, 97, 133, 82, 118, 93, 129, 79, 115)(76, 112, 83, 119, 96, 132, 85, 121, 95, 131, 80, 116, 94, 130, 92, 128, 106, 142, 90, 126, 102, 138, 84, 120)
	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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^12, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 6, 42)(5, 41, 10, 46, 7, 43)(9, 45, 12, 48, 14, 50)(11, 47, 13, 49, 16, 52)(15, 51, 20, 56, 18, 54)(17, 53, 22, 58, 19, 55)(21, 57, 24, 60, 26, 62)(23, 59, 25, 61, 28, 64)(27, 63, 32, 68, 30, 66)(29, 65, 34, 70, 31, 67)(33, 69, 35, 71, 36, 72)(73, 109, 75, 111, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)(74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115)(76, 112, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 82)(6, 75)(7, 77)(8, 78)(9, 84)(10, 79)(11, 85)(12, 86)(13, 88)(14, 81)(15, 92)(16, 83)(17, 94)(18, 87)(19, 89)(20, 90)(21, 96)(22, 91)(23, 97)(24, 98)(25, 100)(26, 93)(27, 104)(28, 95)(29, 106)(30, 99)(31, 101)(32, 102)(33, 107)(34, 103)(35, 108)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.562 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1, Y1), (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (Y3^-1, Y1^-1), Y2^-4 * Y1, (Y1^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 21, 57)(13, 49, 23, 59, 29, 65)(15, 51, 24, 60, 30, 66)(17, 53, 25, 61, 31, 67)(20, 56, 26, 62, 33, 69)(27, 63, 35, 71, 32, 68)(28, 64, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 82, 118, 74, 110, 80, 116, 94, 130, 90, 126, 77, 113, 86, 122, 93, 129, 78, 114)(76, 112, 87, 123, 99, 135, 97, 133, 81, 117, 96, 132, 107, 143, 103, 139, 88, 124, 102, 138, 104, 140, 89, 125)(79, 115, 85, 121, 100, 136, 98, 134, 83, 119, 95, 131, 108, 144, 105, 141, 91, 127, 101, 137, 106, 142, 92, 128)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 92)(7, 73)(8, 95)(9, 83)(10, 98)(11, 74)(12, 99)(13, 87)(14, 101)(15, 75)(16, 91)(17, 78)(18, 105)(19, 77)(20, 89)(21, 104)(22, 107)(23, 96)(24, 80)(25, 82)(26, 97)(27, 100)(28, 84)(29, 102)(30, 86)(31, 90)(32, 106)(33, 103)(34, 93)(35, 108)(36, 94)(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) :: { ( 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 E22.566
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.563 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y1, Y2^-1), (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (Y3^-1, Y1^-1), (R * Y3)^2, Y1 * Y2^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 21, 57, 26, 62)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(17, 53, 24, 60, 31, 67)(20, 56, 25, 61, 33, 69)(27, 63, 32, 68, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 90, 126, 77, 113, 86, 122, 98, 134, 82, 118, 74, 110, 80, 116, 93, 129, 78, 114)(76, 112, 87, 123, 99, 135, 103, 139, 88, 124, 102, 138, 107, 143, 96, 132, 81, 117, 95, 131, 104, 140, 89, 125)(79, 115, 85, 121, 100, 136, 105, 141, 91, 127, 101, 137, 108, 144, 97, 133, 83, 119, 94, 130, 106, 142, 92, 128)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 92)(7, 73)(8, 94)(9, 83)(10, 97)(11, 74)(12, 99)(13, 87)(14, 101)(15, 75)(16, 91)(17, 78)(18, 105)(19, 77)(20, 89)(21, 104)(22, 95)(23, 80)(24, 82)(25, 96)(26, 107)(27, 100)(28, 84)(29, 102)(30, 86)(31, 90)(32, 106)(33, 103)(34, 93)(35, 108)(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) :: { ( 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 E22.567
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1^-1), Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 24, 60)(7, 43, 11, 47, 21, 57)(8, 44, 26, 62, 14, 50)(10, 46, 29, 65, 23, 59)(13, 49, 27, 63, 33, 69)(16, 52, 28, 64, 19, 55)(18, 54, 30, 66, 20, 56)(25, 61, 31, 67, 32, 68)(34, 70, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 102, 138, 83, 119, 100, 136, 108, 144, 101, 137, 89, 125, 98, 134, 97, 133, 78, 114)(74, 110, 80, 116, 99, 135, 96, 132, 93, 129, 87, 123, 107, 143, 90, 126, 76, 112, 88, 124, 103, 139, 82, 118)(77, 113, 91, 127, 105, 141, 95, 131, 79, 115, 86, 122, 106, 142, 94, 130, 81, 117, 84, 120, 104, 140, 92, 128)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 95)(7, 73)(8, 100)(9, 83)(10, 102)(11, 74)(12, 80)(13, 103)(14, 88)(15, 98)(16, 75)(17, 93)(18, 78)(19, 87)(20, 96)(21, 77)(22, 82)(23, 90)(24, 101)(25, 107)(26, 91)(27, 104)(28, 84)(29, 92)(30, 94)(31, 106)(32, 108)(33, 97)(34, 85)(35, 105)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-3, Y2^-1 * Y3 * Y1^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 24, 60)(7, 43, 11, 47, 21, 57)(8, 44, 26, 62, 14, 50)(10, 46, 29, 65, 23, 59)(13, 49, 27, 63, 34, 70)(16, 52, 28, 64, 19, 55)(18, 54, 30, 66, 20, 56)(25, 61, 31, 67, 35, 71)(32, 68, 36, 72, 33, 69)(73, 109, 75, 111, 85, 121, 101, 137, 89, 125, 98, 134, 108, 144, 102, 138, 83, 119, 100, 136, 97, 133, 78, 114)(74, 110, 80, 116, 99, 135, 90, 126, 76, 112, 88, 124, 105, 141, 96, 132, 93, 129, 87, 123, 103, 139, 82, 118)(77, 113, 91, 127, 106, 142, 94, 130, 81, 117, 84, 120, 104, 140, 95, 131, 79, 115, 86, 122, 107, 143, 92, 128)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 95)(7, 73)(8, 100)(9, 83)(10, 102)(11, 74)(12, 80)(13, 105)(14, 88)(15, 98)(16, 75)(17, 93)(18, 78)(19, 87)(20, 96)(21, 77)(22, 82)(23, 90)(24, 101)(25, 99)(26, 91)(27, 104)(28, 84)(29, 92)(30, 94)(31, 106)(32, 97)(33, 107)(34, 108)(35, 85)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^-1 * Y3 * Y2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2 * Y1, Y1 * Y2^-1 * Y3^-1 * Y2^-3, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 24, 60)(7, 43, 11, 47, 21, 57)(8, 44, 26, 62, 16, 52)(10, 46, 30, 66, 18, 54)(13, 49, 27, 63, 34, 70)(14, 50, 28, 64, 19, 55)(20, 56, 23, 59, 29, 65)(25, 61, 31, 67, 32, 68)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 101, 137, 81, 117, 100, 136, 108, 144, 102, 138, 93, 129, 98, 134, 97, 133, 78, 114)(74, 110, 80, 116, 99, 135, 96, 132, 89, 125, 87, 123, 107, 143, 95, 131, 79, 115, 86, 122, 103, 139, 82, 118)(76, 112, 88, 124, 105, 141, 94, 130, 83, 119, 84, 120, 104, 140, 92, 128, 77, 113, 91, 127, 106, 142, 90, 126)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 95)(7, 73)(8, 84)(9, 83)(10, 94)(11, 74)(12, 100)(13, 105)(14, 88)(15, 91)(16, 75)(17, 93)(18, 78)(19, 98)(20, 102)(21, 77)(22, 101)(23, 90)(24, 92)(25, 106)(26, 87)(27, 108)(28, 80)(29, 82)(30, 96)(31, 85)(32, 99)(33, 103)(34, 107)(35, 97)(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) :: { ( 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 E22.562
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y3 * Y2^-1 * Y3 * Y2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y2^-3, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 24, 60)(7, 43, 11, 47, 21, 57)(8, 44, 26, 62, 16, 52)(10, 46, 30, 66, 18, 54)(13, 49, 27, 63, 34, 70)(14, 50, 28, 64, 19, 55)(20, 56, 23, 59, 29, 65)(25, 61, 31, 67, 33, 69)(32, 68, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 102, 138, 93, 129, 98, 134, 108, 144, 101, 137, 81, 117, 100, 136, 97, 133, 78, 114)(74, 110, 80, 116, 99, 135, 95, 131, 79, 115, 86, 122, 107, 143, 96, 132, 89, 125, 87, 123, 103, 139, 82, 118)(76, 112, 88, 124, 105, 141, 92, 128, 77, 113, 91, 127, 106, 142, 94, 130, 83, 119, 84, 120, 104, 140, 90, 126)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 95)(7, 73)(8, 84)(9, 83)(10, 94)(11, 74)(12, 100)(13, 105)(14, 88)(15, 91)(16, 75)(17, 93)(18, 78)(19, 98)(20, 102)(21, 77)(22, 101)(23, 90)(24, 92)(25, 104)(26, 87)(27, 97)(28, 80)(29, 82)(30, 96)(31, 108)(32, 99)(33, 107)(34, 103)(35, 85)(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) :: { ( 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 E22.563
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2), (R * Y3)^2, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^4, (Y1^-1 * Y3^-1)^3, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 16, 52)(6, 42, 18, 54, 10, 46)(7, 43, 11, 47, 19, 55)(13, 49, 22, 58, 28, 64)(14, 50, 29, 65, 23, 59)(15, 51, 30, 66, 24, 60)(17, 53, 32, 68, 25, 61)(20, 56, 26, 62, 33, 69)(21, 57, 34, 70, 27, 63)(31, 67, 35, 71, 36, 72)(73, 109, 75, 111, 85, 121, 93, 129, 79, 115, 87, 123, 103, 139, 89, 125, 76, 112, 86, 122, 92, 128, 78, 114)(74, 110, 80, 116, 94, 130, 99, 135, 83, 119, 96, 132, 107, 143, 97, 133, 81, 117, 95, 131, 98, 134, 82, 118)(77, 113, 84, 120, 100, 136, 106, 142, 91, 127, 102, 138, 108, 144, 104, 140, 88, 124, 101, 137, 105, 141, 90, 126)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 101)(13, 92)(14, 87)(15, 75)(16, 91)(17, 93)(18, 104)(19, 77)(20, 103)(21, 78)(22, 98)(23, 96)(24, 80)(25, 99)(26, 107)(27, 82)(28, 105)(29, 102)(30, 84)(31, 85)(32, 106)(33, 108)(34, 90)(35, 94)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E22.569
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), Y3 * Y2^4, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (Y1^-1 * Y3^-1)^3, Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 23, 59)(7, 43, 11, 47, 21, 57)(8, 44, 14, 50, 28, 64)(10, 46, 18, 54, 30, 66)(13, 49, 26, 62, 33, 69)(16, 52, 19, 55, 27, 63)(20, 56, 29, 65, 25, 61)(24, 60, 31, 67, 32, 68)(34, 70, 35, 71, 36, 72)(73, 109, 75, 111, 85, 121, 97, 133, 79, 115, 88, 124, 106, 142, 90, 126, 76, 112, 86, 122, 96, 132, 78, 114)(74, 110, 80, 116, 98, 134, 95, 131, 83, 119, 87, 123, 107, 143, 101, 137, 81, 117, 99, 135, 103, 139, 82, 118)(77, 113, 91, 127, 105, 141, 102, 138, 93, 129, 100, 136, 108, 144, 94, 130, 89, 125, 84, 120, 104, 140, 92, 128)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 99)(9, 83)(10, 101)(11, 74)(12, 100)(13, 96)(14, 88)(15, 80)(16, 75)(17, 93)(18, 97)(19, 84)(20, 94)(21, 77)(22, 102)(23, 82)(24, 106)(25, 78)(26, 103)(27, 87)(28, 91)(29, 95)(30, 92)(31, 107)(32, 108)(33, 104)(34, 85)(35, 98)(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) :: { ( 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 E22.568
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y2), (R * Y1)^2, (R * Y3)^2, (Y3, Y1), (R * Y2)^2, Y3 * Y2^4, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y1 * Y2 * Y3 * Y1 * Y2^-1, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 17, 53)(6, 42, 22, 58, 23, 59)(7, 43, 11, 47, 21, 57)(8, 44, 16, 52, 27, 63)(10, 46, 25, 61, 29, 65)(13, 49, 26, 62, 33, 69)(14, 50, 19, 55, 28, 64)(18, 54, 20, 56, 31, 67)(24, 60, 30, 66, 35, 71)(32, 68, 34, 70, 36, 72)(73, 109, 75, 111, 85, 121, 97, 133, 79, 115, 88, 124, 106, 142, 90, 126, 76, 112, 86, 122, 96, 132, 78, 114)(74, 110, 80, 116, 98, 134, 103, 139, 83, 119, 100, 136, 108, 144, 95, 131, 81, 117, 87, 123, 102, 138, 82, 118)(77, 113, 91, 127, 105, 141, 94, 130, 93, 129, 84, 120, 104, 140, 101, 137, 89, 125, 99, 135, 107, 143, 92, 128)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 90)(7, 73)(8, 87)(9, 83)(10, 95)(11, 74)(12, 91)(13, 96)(14, 88)(15, 100)(16, 75)(17, 93)(18, 97)(19, 99)(20, 101)(21, 77)(22, 92)(23, 103)(24, 106)(25, 78)(26, 102)(27, 84)(28, 80)(29, 94)(30, 108)(31, 82)(32, 105)(33, 107)(34, 85)(35, 104)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1), (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 26, 62, 32, 68)(14, 50, 16, 52, 27, 63)(15, 51, 30, 66, 24, 60)(18, 54, 28, 64, 21, 57)(22, 58, 29, 65, 34, 70)(23, 59, 31, 67, 25, 61)(33, 69, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 103, 139, 83, 119, 102, 138, 108, 144, 100, 136, 89, 125, 99, 135, 94, 130, 78, 114)(74, 110, 80, 116, 98, 134, 95, 131, 92, 128, 87, 123, 107, 143, 90, 126, 76, 112, 88, 124, 101, 137, 82, 118)(77, 113, 84, 120, 104, 140, 97, 133, 79, 115, 96, 132, 105, 141, 93, 129, 81, 117, 86, 122, 106, 142, 91, 127)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 93)(7, 73)(8, 99)(9, 83)(10, 100)(11, 74)(12, 88)(13, 101)(14, 87)(15, 75)(16, 102)(17, 92)(18, 103)(19, 90)(20, 77)(21, 95)(22, 107)(23, 78)(24, 80)(25, 82)(26, 106)(27, 96)(28, 97)(29, 105)(30, 84)(31, 91)(32, 94)(33, 85)(34, 108)(35, 104)(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) :: { ( 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 E22.575
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, (Y3, Y1), R * Y2 * Y1^-1 * R * Y2, Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2^-3 * Y3 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2^8 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 8, 44)(4, 40, 9, 45, 17, 53)(6, 42, 19, 55, 10, 46)(7, 43, 11, 47, 20, 56)(13, 49, 26, 62, 32, 68)(14, 50, 28, 64, 16, 52)(15, 51, 24, 60, 27, 63)(18, 54, 21, 57, 29, 65)(22, 58, 30, 66, 33, 69)(23, 59, 25, 61, 31, 67)(34, 70, 35, 71, 36, 72)(73, 109, 75, 111, 85, 121, 103, 139, 92, 128, 99, 135, 108, 144, 101, 137, 81, 117, 100, 136, 94, 130, 78, 114)(74, 110, 80, 116, 98, 134, 97, 133, 79, 115, 96, 132, 106, 142, 93, 129, 89, 125, 86, 122, 102, 138, 82, 118)(76, 112, 88, 124, 105, 141, 91, 127, 77, 113, 84, 120, 104, 140, 95, 131, 83, 119, 87, 123, 107, 143, 90, 126)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 89)(6, 93)(7, 73)(8, 88)(9, 83)(10, 90)(11, 74)(12, 100)(13, 105)(14, 87)(15, 75)(16, 99)(17, 92)(18, 103)(19, 101)(20, 77)(21, 95)(22, 107)(23, 78)(24, 84)(25, 91)(26, 94)(27, 80)(28, 96)(29, 97)(30, 108)(31, 82)(32, 102)(33, 106)(34, 85)(35, 98)(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) :: { ( 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 E22.573
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), (Y2^-1, Y1^-1), Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y2^-4 * Y1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 26, 62, 22, 58)(13, 49, 27, 63, 24, 60)(15, 51, 16, 52, 28, 64)(18, 54, 29, 65, 23, 59)(21, 57, 30, 66, 25, 61)(31, 67, 36, 72, 34, 70)(32, 68, 33, 69, 35, 71)(73, 109, 75, 111, 84, 120, 82, 118, 74, 110, 80, 116, 98, 134, 91, 127, 77, 113, 86, 122, 94, 130, 78, 114)(76, 112, 88, 124, 103, 139, 101, 137, 81, 117, 100, 136, 108, 144, 95, 131, 89, 125, 87, 123, 106, 142, 90, 126)(79, 115, 96, 132, 104, 140, 93, 129, 83, 119, 85, 121, 105, 141, 102, 138, 92, 128, 99, 135, 107, 143, 97, 133)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 89)(6, 93)(7, 73)(8, 99)(9, 83)(10, 102)(11, 74)(12, 103)(13, 87)(14, 96)(15, 75)(16, 80)(17, 92)(18, 82)(19, 97)(20, 77)(21, 95)(22, 106)(23, 78)(24, 100)(25, 101)(26, 108)(27, 88)(28, 86)(29, 91)(30, 90)(31, 104)(32, 84)(33, 98)(34, 107)(35, 94)(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) :: { ( 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 E22.572
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3, Y1), (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^4 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2, Y3 * Y1 * Y2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 17, 53)(6, 42, 10, 46, 19, 55)(7, 43, 11, 47, 20, 56)(12, 48, 22, 58, 27, 63)(13, 49, 24, 60, 29, 65)(15, 51, 26, 62, 16, 52)(18, 54, 23, 59, 28, 64)(21, 57, 25, 61, 30, 66)(31, 67, 34, 70, 36, 72)(32, 68, 35, 71, 33, 69)(73, 109, 75, 111, 84, 120, 91, 127, 77, 113, 86, 122, 99, 135, 82, 118, 74, 110, 80, 116, 94, 130, 78, 114)(76, 112, 88, 124, 103, 139, 100, 136, 89, 125, 98, 134, 108, 144, 95, 131, 81, 117, 87, 123, 106, 142, 90, 126)(79, 115, 96, 132, 104, 140, 93, 129, 92, 128, 85, 121, 105, 141, 102, 138, 83, 119, 101, 137, 107, 143, 97, 133)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 89)(6, 93)(7, 73)(8, 96)(9, 83)(10, 97)(11, 74)(12, 103)(13, 87)(14, 101)(15, 75)(16, 86)(17, 92)(18, 91)(19, 102)(20, 77)(21, 95)(22, 106)(23, 78)(24, 98)(25, 100)(26, 80)(27, 108)(28, 82)(29, 88)(30, 90)(31, 104)(32, 84)(33, 99)(34, 107)(35, 94)(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) :: { ( 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 E22.577
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2^-1 * Y1, (Y3^-1, Y1^-1), (R * Y1)^2, Y2^3 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y2^7 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 15, 51)(4, 40, 9, 45, 16, 52)(6, 42, 20, 56, 17, 53)(7, 43, 11, 47, 19, 55)(8, 44, 22, 58, 24, 60)(10, 46, 26, 62, 25, 61)(13, 49, 23, 59, 32, 68)(14, 50, 29, 65, 33, 69)(18, 54, 34, 70, 30, 66)(21, 57, 27, 63, 28, 64)(31, 67, 35, 71, 36, 72)(73, 109, 75, 111, 85, 121, 102, 138, 88, 124, 105, 141, 108, 144, 98, 134, 83, 119, 94, 130, 93, 129, 78, 114)(74, 110, 80, 116, 95, 131, 89, 125, 76, 112, 87, 123, 103, 139, 106, 142, 91, 127, 101, 137, 99, 135, 82, 118)(77, 113, 86, 122, 104, 140, 97, 133, 81, 117, 96, 132, 107, 143, 92, 128, 79, 115, 84, 120, 100, 136, 90, 126)
	L = (1, 76)(2, 81)(3, 86)(4, 79)(5, 88)(6, 90)(7, 73)(8, 75)(9, 83)(10, 78)(11, 74)(12, 101)(13, 103)(14, 80)(15, 105)(16, 91)(17, 102)(18, 82)(19, 77)(20, 106)(21, 95)(22, 84)(23, 107)(24, 87)(25, 89)(26, 92)(27, 104)(28, 85)(29, 94)(30, 97)(31, 100)(32, 108)(33, 96)(34, 98)(35, 93)(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) :: { ( 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 E22.571
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2, (Y2^-1 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40)(3, 39, 8, 44, 10, 46)(5, 41, 13, 49, 14, 50)(6, 42, 16, 52, 18, 54)(7, 43, 19, 55, 20, 56)(9, 45, 17, 53, 24, 60)(11, 47, 26, 62, 27, 63)(12, 48, 28, 64, 29, 65)(15, 51, 21, 57, 30, 66)(22, 58, 32, 68, 31, 67)(23, 59, 33, 69, 35, 71)(25, 61, 34, 70, 36, 72)(73, 109, 75, 111, 81, 117, 91, 127, 105, 141, 88, 124, 104, 140, 101, 137, 108, 144, 99, 135, 87, 123, 77, 113)(74, 110, 78, 114, 89, 125, 100, 136, 107, 143, 98, 134, 103, 139, 86, 122, 97, 133, 82, 118, 93, 129, 79, 115)(76, 112, 83, 119, 96, 132, 85, 121, 95, 131, 80, 116, 94, 130, 92, 128, 106, 142, 90, 126, 102, 138, 84, 120)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 85)(6, 88)(7, 91)(8, 82)(9, 89)(10, 75)(11, 98)(12, 100)(13, 86)(14, 77)(15, 93)(16, 90)(17, 96)(18, 78)(19, 92)(20, 79)(21, 102)(22, 104)(23, 105)(24, 81)(25, 106)(26, 99)(27, 83)(28, 101)(29, 84)(30, 87)(31, 94)(32, 103)(33, 107)(34, 108)(35, 95)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, Y2^-1 * Y1^-1 * Y2 * Y3, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y2^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 12, 48, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 17, 53, 20, 56)(7, 43, 11, 47, 19, 55)(8, 44, 22, 58, 24, 60)(10, 46, 25, 61, 26, 62)(13, 49, 23, 59, 30, 66)(15, 51, 29, 65, 31, 67)(18, 54, 32, 68, 33, 69)(21, 57, 27, 63, 34, 70)(28, 64, 36, 72, 35, 71)(73, 109, 75, 111, 85, 121, 97, 133, 81, 117, 94, 130, 108, 144, 105, 141, 91, 127, 103, 139, 93, 129, 78, 114)(74, 110, 80, 116, 95, 131, 104, 140, 88, 124, 101, 137, 107, 143, 92, 128, 79, 115, 86, 122, 99, 135, 82, 118)(76, 112, 84, 120, 100, 136, 98, 134, 83, 119, 96, 132, 106, 142, 90, 126, 77, 113, 87, 123, 102, 138, 89, 125)
	L = (1, 76)(2, 81)(3, 80)(4, 79)(5, 88)(6, 82)(7, 73)(8, 87)(9, 83)(10, 90)(11, 74)(12, 94)(13, 100)(14, 96)(15, 75)(16, 91)(17, 97)(18, 78)(19, 77)(20, 98)(21, 102)(22, 101)(23, 108)(24, 103)(25, 104)(26, 105)(27, 85)(28, 99)(29, 84)(30, 107)(31, 86)(32, 89)(33, 92)(34, 95)(35, 93)(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) :: { ( 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 E22.574
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^3, Y2 * Y1^2 * Y2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y3^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 20, 56, 31, 67, 18, 54, 29, 65, 16, 52, 27, 63, 14, 50, 5, 41)(3, 39, 13, 49, 6, 42, 19, 55, 4, 40, 17, 53, 24, 60, 36, 72, 33, 69, 22, 58, 7, 43, 15, 51)(9, 45, 25, 61, 11, 47, 30, 66, 10, 46, 28, 64, 35, 71, 34, 70, 21, 57, 32, 68, 12, 48, 26, 62)(73, 109, 75, 111, 86, 122, 79, 115, 88, 124, 105, 141, 90, 126, 96, 132, 92, 128, 76, 112, 80, 116, 78, 114)(74, 110, 81, 117, 77, 113, 84, 120, 99, 135, 93, 129, 101, 137, 107, 143, 103, 139, 82, 118, 95, 131, 83, 119)(85, 121, 98, 134, 87, 123, 104, 140, 94, 130, 106, 142, 108, 144, 100, 136, 89, 125, 102, 138, 91, 127, 97, 133)
	L = (1, 76)(2, 82)(3, 80)(4, 90)(5, 83)(6, 92)(7, 73)(8, 96)(9, 95)(10, 101)(11, 103)(12, 74)(13, 102)(14, 78)(15, 97)(16, 75)(17, 106)(18, 79)(19, 100)(20, 105)(21, 77)(22, 98)(23, 107)(24, 88)(25, 89)(26, 91)(27, 81)(28, 94)(29, 84)(30, 108)(31, 93)(32, 85)(33, 86)(34, 87)(35, 99)(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) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.557
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3, Y2), (Y3, Y1^-1), Y3^4 * Y2, 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 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 13, 49)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 28, 64)(14, 50, 23, 59, 29, 65)(15, 51, 24, 60, 31, 67)(17, 53, 25, 61, 32, 68)(20, 56, 26, 62, 33, 69)(21, 57, 27, 63, 34, 70)(30, 66, 35, 71, 36, 72)(73, 109, 75, 111, 78, 114)(74, 110, 80, 116, 82, 118)(76, 112, 84, 120, 89, 125)(77, 113, 85, 121, 90, 126)(79, 115, 86, 122, 92, 128)(81, 117, 94, 130, 97, 133)(83, 119, 95, 131, 98, 134)(87, 123, 93, 129, 102, 138)(88, 124, 100, 136, 104, 140)(91, 127, 101, 137, 105, 141)(96, 132, 99, 135, 107, 143)(103, 139, 106, 142, 108, 144)
	L = (1, 76)(2, 81)(3, 84)(4, 87)(5, 88)(6, 89)(7, 73)(8, 94)(9, 96)(10, 97)(11, 74)(12, 93)(13, 100)(14, 75)(15, 92)(16, 103)(17, 102)(18, 104)(19, 77)(20, 78)(21, 79)(22, 99)(23, 80)(24, 98)(25, 107)(26, 82)(27, 83)(28, 106)(29, 85)(30, 86)(31, 105)(32, 108)(33, 90)(34, 91)(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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.589
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 35, 71, 36, 72)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)(74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115)(76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118)
	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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y3^-1, Y1^-1), Y3 * Y2^4, (Y1^-1 * Y3^-1)^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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 28, 64)(13, 49, 23, 59, 30, 66)(15, 51, 24, 60, 31, 67)(17, 53, 25, 61, 32, 68)(20, 56, 26, 62, 33, 69)(21, 57, 27, 63, 34, 70)(29, 65, 35, 71, 36, 72)(73, 109, 75, 111, 84, 120, 93, 129, 79, 115, 87, 123, 101, 137, 89, 125, 76, 112, 85, 121, 92, 128, 78, 114)(74, 110, 80, 116, 94, 130, 99, 135, 83, 119, 96, 132, 107, 143, 97, 133, 81, 117, 95, 131, 98, 134, 82, 118)(77, 113, 86, 122, 100, 136, 106, 142, 91, 127, 103, 139, 108, 144, 104, 140, 88, 124, 102, 138, 105, 141, 90, 126)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 92)(13, 87)(14, 102)(15, 75)(16, 91)(17, 93)(18, 104)(19, 77)(20, 101)(21, 78)(22, 98)(23, 96)(24, 80)(25, 99)(26, 107)(27, 82)(28, 105)(29, 84)(30, 103)(31, 86)(32, 106)(33, 108)(34, 90)(35, 94)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^-3, Y3^3, (R * Y3)^2, (Y3^-1, Y2), (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, Y2^4 * Y1^-1, (Y1^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 20, 56)(13, 49, 23, 59, 29, 65)(15, 51, 24, 60, 30, 66)(17, 53, 25, 61, 31, 67)(21, 57, 26, 62, 33, 69)(27, 63, 35, 71, 32, 68)(28, 64, 36, 72, 34, 70)(73, 109, 75, 111, 84, 120, 82, 118, 74, 110, 80, 116, 94, 130, 90, 126, 77, 113, 86, 122, 92, 128, 78, 114)(76, 112, 85, 121, 99, 135, 97, 133, 81, 117, 95, 131, 107, 143, 103, 139, 88, 124, 101, 137, 104, 140, 89, 125)(79, 115, 87, 123, 100, 136, 98, 134, 83, 119, 96, 132, 108, 144, 105, 141, 91, 127, 102, 138, 106, 142, 93, 129)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 99)(13, 87)(14, 101)(15, 75)(16, 91)(17, 93)(18, 103)(19, 77)(20, 104)(21, 78)(22, 107)(23, 96)(24, 80)(25, 98)(26, 82)(27, 100)(28, 84)(29, 102)(30, 86)(31, 105)(32, 106)(33, 90)(34, 92)(35, 108)(36, 94)(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) :: { ( 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 E22.585
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y3^-1, Y2), (Y3^-1, Y1^-1), (R * Y3)^2, Y2^4 * Y1, (Y1^-1 * Y3^-1)^3, (Y2^-1 * Y3)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 20, 56, 25, 61)(13, 49, 22, 58, 29, 65)(15, 51, 23, 59, 30, 66)(17, 53, 24, 60, 31, 67)(21, 57, 26, 62, 33, 69)(27, 63, 32, 68, 35, 71)(28, 64, 34, 70, 36, 72)(73, 109, 75, 111, 84, 120, 90, 126, 77, 113, 86, 122, 97, 133, 82, 118, 74, 110, 80, 116, 92, 128, 78, 114)(76, 112, 85, 121, 99, 135, 103, 139, 88, 124, 101, 137, 107, 143, 96, 132, 81, 117, 94, 130, 104, 140, 89, 125)(79, 115, 87, 123, 100, 136, 105, 141, 91, 127, 102, 138, 108, 144, 98, 134, 83, 119, 95, 131, 106, 142, 93, 129)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 94)(9, 83)(10, 96)(11, 74)(12, 99)(13, 87)(14, 101)(15, 75)(16, 91)(17, 93)(18, 103)(19, 77)(20, 104)(21, 78)(22, 95)(23, 80)(24, 98)(25, 107)(26, 82)(27, 100)(28, 84)(29, 102)(30, 86)(31, 105)(32, 106)(33, 90)(34, 92)(35, 108)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^12, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40)(3, 39, 6, 42, 9, 45)(5, 41, 7, 43, 10, 46)(8, 44, 12, 48, 15, 51)(11, 47, 13, 49, 16, 52)(14, 50, 18, 54, 21, 57)(17, 53, 19, 55, 22, 58)(20, 56, 24, 60, 27, 63)(23, 59, 25, 61, 28, 64)(26, 62, 30, 66, 33, 69)(29, 65, 31, 67, 34, 70)(32, 68, 35, 71, 36, 72)(73, 109, 75, 111, 80, 116, 86, 122, 92, 128, 98, 134, 104, 140, 101, 137, 95, 131, 89, 125, 83, 119, 77, 113)(74, 110, 78, 114, 84, 120, 90, 126, 96, 132, 102, 138, 107, 143, 103, 139, 97, 133, 91, 127, 85, 121, 79, 115)(76, 112, 81, 117, 87, 123, 93, 129, 99, 135, 105, 141, 108, 144, 106, 142, 100, 136, 94, 130, 88, 124, 82, 118)
	L = (1, 74)(2, 76)(3, 78)(4, 73)(5, 79)(6, 81)(7, 82)(8, 84)(9, 75)(10, 77)(11, 85)(12, 87)(13, 88)(14, 90)(15, 80)(16, 83)(17, 91)(18, 93)(19, 94)(20, 96)(21, 86)(22, 89)(23, 97)(24, 99)(25, 100)(26, 102)(27, 92)(28, 95)(29, 103)(30, 105)(31, 106)(32, 107)(33, 98)(34, 101)(35, 108)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.585 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2, Y3), Y2 * Y3 * Y2^3 * Y1^-1, Y1^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1, Y2^-12, (Y3^-1 * Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 28, 64)(13, 49, 23, 59, 30, 66)(15, 51, 24, 60, 31, 67)(17, 53, 25, 61, 32, 68)(20, 56, 26, 62, 34, 70)(21, 57, 27, 63, 35, 71)(29, 65, 36, 72, 33, 69)(73, 109, 75, 111, 84, 120, 99, 135, 83, 119, 96, 132, 108, 144, 104, 140, 88, 124, 102, 138, 92, 128, 78, 114)(74, 110, 80, 116, 94, 130, 107, 143, 91, 127, 103, 139, 105, 141, 89, 125, 76, 112, 85, 121, 98, 134, 82, 118)(77, 113, 86, 122, 100, 136, 93, 129, 79, 115, 87, 123, 101, 137, 97, 133, 81, 117, 95, 131, 106, 142, 90, 126)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 98)(13, 87)(14, 102)(15, 75)(16, 91)(17, 93)(18, 104)(19, 77)(20, 105)(21, 78)(22, 106)(23, 96)(24, 80)(25, 99)(26, 101)(27, 82)(28, 92)(29, 84)(30, 103)(31, 86)(32, 107)(33, 100)(34, 108)(35, 90)(36, 94)(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) :: { ( 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 E22.582
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.586 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2, Y1), (R * Y1)^2, (R * Y2)^2, (Y3, Y1), Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2, Y2^-12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 30, 66)(13, 49, 23, 59, 32, 68)(15, 51, 24, 60, 33, 69)(17, 53, 25, 61, 34, 70)(20, 56, 26, 62, 29, 65)(21, 57, 27, 63, 28, 64)(31, 67, 35, 71, 36, 72)(73, 109, 75, 111, 84, 120, 100, 136, 91, 127, 105, 141, 108, 144, 97, 133, 81, 117, 95, 131, 92, 128, 78, 114)(74, 110, 80, 116, 94, 130, 93, 129, 79, 115, 87, 123, 103, 139, 106, 142, 88, 124, 104, 140, 98, 134, 82, 118)(76, 112, 85, 121, 101, 137, 90, 126, 77, 113, 86, 122, 102, 138, 99, 135, 83, 119, 96, 132, 107, 143, 89, 125)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 101)(13, 87)(14, 104)(15, 75)(16, 91)(17, 93)(18, 106)(19, 77)(20, 107)(21, 78)(22, 92)(23, 96)(24, 80)(25, 99)(26, 108)(27, 82)(28, 90)(29, 103)(30, 98)(31, 84)(32, 105)(33, 86)(34, 100)(35, 94)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E22.588
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.587 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1, Y1), (Y3^-1, Y1^-1), (Y3^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-2, (Y1^-1 * Y2^2 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 29, 65)(13, 49, 23, 59, 30, 66)(15, 51, 24, 60, 31, 67)(17, 53, 25, 61, 32, 68)(20, 56, 26, 62, 33, 69)(21, 57, 27, 63, 34, 70)(28, 64, 36, 72, 35, 71)(73, 109, 75, 111, 84, 120, 97, 133, 81, 117, 95, 131, 108, 144, 106, 142, 91, 127, 103, 139, 92, 128, 78, 114)(74, 110, 80, 116, 94, 130, 104, 140, 88, 124, 102, 138, 107, 143, 93, 129, 79, 115, 87, 123, 98, 134, 82, 118)(76, 112, 85, 121, 100, 136, 99, 135, 83, 119, 96, 132, 105, 141, 90, 126, 77, 113, 86, 122, 101, 137, 89, 125)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 100)(13, 87)(14, 102)(15, 75)(16, 91)(17, 93)(18, 104)(19, 77)(20, 101)(21, 78)(22, 108)(23, 96)(24, 80)(25, 99)(26, 84)(27, 82)(28, 98)(29, 107)(30, 103)(31, 86)(32, 106)(33, 94)(34, 90)(35, 92)(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) :: { ( 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.588 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3, Y1), (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^2 * Y1 * Y3^-1 * Y2^2, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 5, 41)(3, 39, 8, 44, 14, 50)(4, 40, 9, 45, 16, 52)(6, 42, 10, 46, 18, 54)(7, 43, 11, 47, 19, 55)(12, 48, 22, 58, 30, 66)(13, 49, 23, 59, 32, 68)(15, 51, 24, 60, 33, 69)(17, 53, 25, 61, 28, 64)(20, 56, 26, 62, 31, 67)(21, 57, 27, 63, 34, 70)(29, 65, 35, 71, 36, 72)(73, 109, 75, 111, 84, 120, 100, 136, 88, 124, 104, 140, 108, 144, 99, 135, 83, 119, 96, 132, 92, 128, 78, 114)(74, 110, 80, 116, 94, 130, 89, 125, 76, 112, 85, 121, 101, 137, 106, 142, 91, 127, 105, 141, 98, 134, 82, 118)(77, 113, 86, 122, 102, 138, 97, 133, 81, 117, 95, 131, 107, 143, 93, 129, 79, 115, 87, 123, 103, 139, 90, 126)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 88)(6, 89)(7, 73)(8, 95)(9, 83)(10, 97)(11, 74)(12, 101)(13, 87)(14, 104)(15, 75)(16, 91)(17, 93)(18, 100)(19, 77)(20, 94)(21, 78)(22, 107)(23, 96)(24, 80)(25, 99)(26, 102)(27, 82)(28, 106)(29, 103)(30, 108)(31, 84)(32, 105)(33, 86)(34, 90)(35, 92)(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) :: { ( 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 E22.586
Graph:: bipartite
	v = 15 e = 72 f = 15
	degree seq :: [ 6^12, 24^3 ]

E22.589 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, (Y2, Y3), (R * Y2)^2, (Y1, Y2^-1), (R * Y3)^2, (Y3^-1, Y1^-1), Y2^-2 * Y1^-1 * Y2^-1 * Y1^-2, (Y2^-1 * Y3)^3, Y3^-1 * Y2^2 * Y1^-3, (Y1^-1 * Y3^-1)^3, Y3^-1 * Y2^-1 * Y1^6, Y3^-1 * Y1^3 * Y2^8 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 35, 71, 34, 70, 14, 50, 29, 65, 36, 72, 33, 69, 20, 56, 5, 41)(3, 39, 9, 45, 24, 60, 17, 53, 31, 67, 22, 58, 7, 43, 12, 48, 27, 63, 19, 55, 32, 68, 15, 51)(4, 40, 10, 46, 25, 61, 13, 49, 28, 64, 21, 57, 6, 42, 11, 47, 26, 62, 16, 52, 30, 66, 18, 54)(73, 109, 75, 111, 85, 121, 105, 141, 91, 127, 76, 112, 86, 122, 79, 115, 88, 124, 95, 131, 89, 125, 78, 114)(74, 110, 81, 117, 100, 136, 92, 128, 104, 140, 82, 118, 101, 137, 84, 120, 102, 138, 107, 143, 103, 139, 83, 119)(77, 113, 87, 123, 97, 133, 108, 144, 99, 135, 90, 126, 106, 142, 94, 130, 98, 134, 80, 116, 96, 132, 93, 129)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 97)(9, 101)(10, 103)(11, 104)(12, 74)(13, 79)(14, 78)(15, 106)(16, 75)(17, 105)(18, 96)(19, 95)(20, 102)(21, 99)(22, 77)(23, 85)(24, 108)(25, 94)(26, 87)(27, 80)(28, 84)(29, 83)(30, 81)(31, 92)(32, 107)(33, 88)(34, 93)(35, 100)(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) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.579
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.590 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y3 * Y1^-2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2 * Y3 * Y2 * Y1, Y2^2 * Y3^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 13, 49, 20, 56, 14, 50, 8, 44)(6, 42, 16, 52, 17, 53, 21, 57, 15, 51, 10, 46)(12, 48, 19, 55, 25, 61, 32, 68, 26, 62, 23, 59)(18, 54, 22, 58, 27, 63, 33, 69, 29, 65, 28, 64)(24, 60, 35, 71, 34, 70, 30, 66, 36, 72, 31, 67)(73, 109, 75, 111, 84, 120, 96, 132, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 102, 138, 90, 126, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 101, 137, 89, 125, 79, 115, 85, 121, 98, 134, 106, 142, 94, 130, 82, 118)(76, 112, 86, 122, 97, 133, 108, 144, 100, 136, 88, 124, 77, 113, 83, 119, 95, 131, 107, 143, 99, 135, 87, 123)
	L = (1, 76)(2, 81)(3, 85)(4, 79)(5, 74)(6, 89)(7, 73)(8, 83)(9, 77)(10, 88)(11, 92)(12, 97)(13, 86)(14, 75)(15, 78)(16, 93)(17, 87)(18, 99)(19, 104)(20, 80)(21, 82)(22, 105)(23, 91)(24, 106)(25, 98)(26, 84)(27, 101)(28, 94)(29, 90)(30, 103)(31, 107)(32, 95)(33, 100)(34, 108)(35, 102)(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) :: { ( 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 E22.592
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.591 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y1 * Y2 * Y3^-1 * Y2^-3, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y2^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 11, 47, 10, 46, 26, 62, 14, 50, 13, 49)(6, 42, 15, 51, 19, 55, 27, 63, 17, 53, 20, 56)(8, 44, 23, 59, 16, 52, 22, 58, 25, 61, 18, 54)(12, 48, 24, 60, 30, 66, 35, 71, 32, 68, 31, 67)(21, 57, 28, 64, 34, 70, 36, 72, 33, 69, 29, 65)(73, 109, 75, 111, 84, 120, 97, 133, 108, 144, 99, 135, 81, 117, 98, 134, 107, 143, 95, 131, 93, 129, 78, 114)(74, 110, 80, 116, 96, 132, 92, 128, 105, 141, 85, 121, 79, 115, 94, 130, 104, 140, 91, 127, 100, 136, 82, 118)(76, 112, 87, 123, 102, 138, 83, 119, 101, 137, 90, 126, 77, 113, 89, 125, 103, 139, 86, 122, 106, 142, 88, 124)
	L = (1, 76)(2, 81)(3, 82)(4, 79)(5, 74)(6, 91)(7, 73)(8, 88)(9, 77)(10, 86)(11, 98)(12, 102)(13, 83)(14, 75)(15, 99)(16, 97)(17, 78)(18, 95)(19, 89)(20, 87)(21, 106)(22, 90)(23, 94)(24, 107)(25, 80)(26, 85)(27, 92)(28, 108)(29, 100)(30, 104)(31, 96)(32, 84)(33, 93)(34, 105)(35, 103)(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, 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 E22.593
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.592 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1^6, Y2 * Y3 * Y1^2 * Y3^-1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 25, 61, 12, 48, 3, 39, 8, 44, 18, 54, 28, 64, 16, 52, 5, 41)(4, 40, 10, 46, 19, 55, 30, 66, 33, 69, 23, 59, 11, 47, 22, 58, 31, 67, 35, 71, 26, 62, 14, 50)(6, 42, 9, 45, 20, 56, 29, 65, 34, 70, 24, 60, 13, 49, 21, 57, 32, 68, 36, 72, 27, 63, 15, 51)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 90, 126)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(89, 125, 100, 136)(91, 127, 103, 139)(92, 128, 104, 140)(98, 134, 105, 141)(99, 135, 106, 142)(101, 137, 108, 144)(102, 138, 107, 143)
	L = (1, 76)(2, 81)(3, 83)(4, 78)(5, 87)(6, 73)(7, 91)(8, 93)(9, 82)(10, 74)(11, 85)(12, 96)(13, 75)(14, 77)(15, 86)(16, 98)(17, 101)(18, 103)(19, 92)(20, 79)(21, 94)(22, 80)(23, 84)(24, 95)(25, 105)(26, 99)(27, 88)(28, 108)(29, 102)(30, 89)(31, 104)(32, 90)(33, 106)(34, 97)(35, 100)(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) :: { ( 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 E22.590
Graph:: bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 4^18, 24^3 ]

E22.593 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : C4) (small group id <36, 6>)
Aut   = (C6 x S3) : C2 (small group id <72, 23>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 21, 57, 30, 66, 12, 48, 3, 39, 8, 44, 22, 58, 33, 69, 17, 53, 5, 41)(4, 40, 14, 50, 23, 59, 18, 54, 28, 64, 10, 46, 11, 47, 29, 65, 35, 71, 31, 67, 34, 70, 15, 51)(6, 42, 19, 55, 24, 60, 25, 61, 36, 72, 32, 68, 13, 49, 16, 52, 27, 63, 9, 45, 26, 62, 20, 56)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 94, 130)(81, 117, 97, 133)(82, 118, 87, 123)(86, 122, 101, 137)(88, 124, 91, 127)(89, 125, 102, 138)(90, 126, 103, 139)(92, 128, 104, 140)(93, 129, 105, 141)(95, 131, 107, 143)(96, 132, 99, 135)(98, 134, 108, 144)(100, 136, 106, 142)
	L = (1, 76)(2, 81)(3, 83)(4, 78)(5, 88)(6, 73)(7, 95)(8, 97)(9, 82)(10, 74)(11, 85)(12, 91)(13, 75)(14, 105)(15, 80)(16, 90)(17, 106)(18, 77)(19, 103)(20, 101)(21, 92)(22, 107)(23, 96)(24, 79)(25, 87)(26, 89)(27, 94)(28, 108)(29, 93)(30, 100)(31, 84)(32, 86)(33, 104)(34, 98)(35, 99)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E22.591
Graph:: bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 4^18, 24^3 ]

E22.594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y1, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (Y2, Y3), (R * Y3)^2, (Y1 * Y3)^2, Y2^-2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2^5 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 4, 40, 9, 45, 7, 43, 5, 41)(3, 39, 8, 44, 12, 48, 20, 56, 14, 50, 13, 49)(6, 42, 10, 46, 15, 51, 21, 57, 18, 54, 16, 52)(11, 47, 19, 55, 24, 60, 32, 68, 26, 62, 25, 61)(17, 53, 22, 58, 27, 63, 33, 69, 30, 66, 28, 64)(23, 59, 31, 67, 35, 71, 29, 65, 34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 105, 141, 93, 129, 81, 117, 92, 128, 104, 140, 101, 137, 89, 125, 78, 114)(74, 110, 80, 116, 91, 127, 103, 139, 102, 138, 90, 126, 79, 115, 86, 122, 98, 134, 106, 142, 94, 130, 82, 118)(76, 112, 84, 120, 96, 132, 107, 143, 100, 136, 88, 124, 77, 113, 85, 121, 97, 133, 108, 144, 99, 135, 87, 123)
	L = (1, 76)(2, 81)(3, 84)(4, 79)(5, 74)(6, 87)(7, 73)(8, 92)(9, 77)(10, 93)(11, 96)(12, 86)(13, 80)(14, 75)(15, 90)(16, 82)(17, 99)(18, 78)(19, 104)(20, 85)(21, 88)(22, 105)(23, 107)(24, 98)(25, 91)(26, 83)(27, 102)(28, 94)(29, 108)(30, 89)(31, 101)(32, 97)(33, 100)(34, 95)(35, 106)(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) :: { ( 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 E22.595
Graph:: bipartite
	v = 9 e = 72 f = 21
	degree seq :: [ 12^6, 24^3 ]

E22.595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C3 (small group id <36, 8>)
Aut   = (C12 x C3) : C2 (small group id <72, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (Y3, Y1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 17, 53, 24, 60, 12, 48, 3, 39, 8, 44, 18, 54, 27, 63, 15, 51, 5, 41)(4, 40, 9, 45, 19, 55, 29, 65, 33, 69, 23, 59, 11, 47, 21, 57, 31, 67, 35, 71, 26, 62, 14, 50)(6, 42, 10, 46, 20, 56, 30, 66, 34, 70, 25, 61, 13, 49, 22, 58, 32, 68, 36, 72, 28, 64, 16, 52)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 90, 126)(81, 117, 93, 129)(82, 118, 94, 130)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(89, 125, 99, 135)(91, 127, 103, 139)(92, 128, 104, 140)(98, 134, 105, 141)(100, 136, 106, 142)(101, 137, 107, 143)(102, 138, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 78)(5, 86)(6, 73)(7, 91)(8, 93)(9, 82)(10, 74)(11, 85)(12, 95)(13, 75)(14, 88)(15, 98)(16, 77)(17, 101)(18, 103)(19, 92)(20, 79)(21, 94)(22, 80)(23, 97)(24, 105)(25, 84)(26, 100)(27, 107)(28, 87)(29, 102)(30, 89)(31, 104)(32, 90)(33, 106)(34, 96)(35, 108)(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) :: { ( 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 E22.594
Graph:: bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 4^18, 24^3 ]

E22.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^6, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 17, 53)(12, 48, 18, 54)(13, 49, 19, 55)(14, 50, 20, 56)(15, 51, 21, 57)(16, 52, 22, 58)(23, 59, 28, 64)(24, 60, 29, 65)(25, 61, 30, 66)(26, 62, 31, 67)(27, 63, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 87, 123, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 93, 129, 81, 117)(76, 112, 84, 120, 96, 132, 105, 141, 98, 134, 86, 122)(78, 114, 85, 121, 97, 133, 106, 142, 99, 135, 88, 124)(80, 116, 90, 126, 101, 137, 107, 143, 103, 139, 92, 128)(82, 118, 91, 127, 102, 138, 108, 144, 104, 140, 94, 130)
	L = (1, 76)(2, 80)(3, 84)(4, 85)(5, 86)(6, 73)(7, 90)(8, 91)(9, 92)(10, 74)(11, 96)(12, 97)(13, 75)(14, 78)(15, 98)(16, 77)(17, 101)(18, 102)(19, 79)(20, 82)(21, 103)(22, 81)(23, 105)(24, 106)(25, 83)(26, 88)(27, 87)(28, 107)(29, 108)(30, 89)(31, 94)(32, 93)(33, 99)(34, 95)(35, 104)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.602
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 4^18, 12^6 ]

E22.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-3, (Y2, Y3^-1), Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 17, 53)(12, 48, 18, 54)(13, 49, 19, 55)(14, 50, 20, 56)(15, 51, 21, 57)(16, 52, 22, 58)(23, 59, 28, 64)(24, 60, 29, 65)(25, 61, 30, 66)(26, 62, 31, 67)(27, 63, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 88, 124, 77, 113)(74, 110, 79, 115, 89, 125, 100, 136, 94, 130, 81, 117)(76, 112, 84, 120, 96, 132, 105, 141, 99, 135, 87, 123)(78, 114, 85, 121, 97, 133, 106, 142, 98, 134, 86, 122)(80, 116, 90, 126, 101, 137, 107, 143, 104, 140, 93, 129)(82, 118, 91, 127, 102, 138, 108, 144, 103, 139, 92, 128)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 90)(8, 92)(9, 93)(10, 74)(11, 96)(12, 78)(13, 75)(14, 77)(15, 98)(16, 99)(17, 101)(18, 82)(19, 79)(20, 81)(21, 103)(22, 104)(23, 105)(24, 85)(25, 83)(26, 88)(27, 106)(28, 107)(29, 91)(30, 89)(31, 94)(32, 108)(33, 97)(34, 95)(35, 102)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 18, 36, 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.603
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 4^18, 12^6 ]

E22.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, (Y3^-1, Y1^-1), Y3^2 * Y1^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y3^-2 * Y2^-3, Y3^6, Y3^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 17, 53, 5, 41)(3, 39, 9, 45, 24, 60, 36, 72, 21, 57, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 25, 61, 18, 54)(6, 42, 11, 47, 13, 49, 26, 62, 33, 69, 20, 56)(14, 50, 27, 63, 16, 52, 28, 64, 35, 71, 32, 68)(19, 55, 29, 65, 22, 58, 30, 66, 31, 67, 34, 70)(73, 109, 75, 111, 85, 121, 80, 116, 96, 132, 105, 141, 89, 125, 93, 129, 78, 114)(74, 110, 81, 117, 98, 134, 95, 131, 108, 144, 92, 128, 77, 113, 87, 123, 83, 119)(76, 112, 86, 122, 94, 130, 79, 115, 88, 124, 103, 139, 97, 133, 107, 143, 91, 127)(82, 118, 99, 135, 102, 138, 84, 120, 100, 136, 106, 142, 90, 126, 104, 140, 101, 137)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 99)(10, 77)(11, 101)(12, 74)(13, 94)(14, 93)(15, 104)(16, 75)(17, 97)(18, 95)(19, 105)(20, 106)(21, 107)(22, 78)(23, 84)(24, 88)(25, 80)(26, 102)(27, 87)(28, 81)(29, 92)(30, 83)(31, 85)(32, 108)(33, 103)(34, 98)(35, 96)(36, 100)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 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 E22.600
Graph:: bipartite
	v = 10 e = 72 f = 20
	degree seq :: [ 12^6, 18^4 ]

E22.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, (Y3 * Y1)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y3^-2 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y3), Y2^-3 * Y3^2, Y3^6, Y1^-2 * Y3^2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 17, 53, 5, 41)(3, 39, 9, 45, 21, 57, 29, 65, 33, 69, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 25, 61, 18, 54)(6, 42, 11, 47, 24, 60, 32, 68, 13, 49, 20, 56)(14, 50, 26, 62, 16, 52, 27, 63, 36, 72, 34, 70)(19, 55, 28, 64, 22, 58, 30, 66, 31, 67, 35, 71)(73, 109, 75, 111, 85, 121, 89, 125, 105, 141, 96, 132, 80, 116, 93, 129, 78, 114)(74, 110, 81, 117, 92, 128, 77, 113, 87, 123, 104, 140, 95, 131, 101, 137, 83, 119)(76, 112, 86, 122, 103, 139, 97, 133, 108, 144, 94, 130, 79, 115, 88, 124, 91, 127)(82, 118, 98, 134, 107, 143, 90, 126, 106, 142, 102, 138, 84, 120, 99, 135, 100, 136)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 98)(10, 77)(11, 100)(12, 74)(13, 103)(14, 105)(15, 106)(16, 75)(17, 97)(18, 95)(19, 85)(20, 107)(21, 88)(22, 78)(23, 84)(24, 94)(25, 80)(26, 87)(27, 81)(28, 92)(29, 99)(30, 83)(31, 96)(32, 102)(33, 108)(34, 101)(35, 104)(36, 93)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.601
Graph:: bipartite
	v = 10 e = 72 f = 20
	degree seq :: [ 12^6, 18^4 ]

E22.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, Y2^2, Y3 * Y1^-3, (Y3, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2, Y3^6, (Y1^-1 * Y3^-1)^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 4, 40, 9, 45, 18, 54, 14, 50, 21, 57, 29, 65, 26, 62, 32, 68, 27, 63, 16, 52, 22, 58, 15, 51, 6, 42, 10, 46, 5, 41)(3, 39, 8, 44, 17, 53, 11, 47, 19, 55, 28, 64, 23, 59, 30, 66, 35, 71, 33, 69, 36, 72, 34, 70, 25, 61, 31, 67, 24, 60, 13, 49, 20, 56, 12, 48)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 89, 125)(81, 117, 91, 127)(82, 118, 92, 128)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(90, 126, 100, 136)(93, 129, 102, 138)(94, 130, 103, 139)(98, 134, 105, 141)(99, 135, 106, 142)(101, 137, 107, 143)(104, 140, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 79)(6, 73)(7, 90)(8, 91)(9, 93)(10, 74)(11, 95)(12, 89)(13, 75)(14, 98)(15, 77)(16, 78)(17, 100)(18, 101)(19, 102)(20, 80)(21, 104)(22, 82)(23, 105)(24, 84)(25, 85)(26, 88)(27, 87)(28, 107)(29, 99)(30, 108)(31, 92)(32, 94)(33, 97)(34, 96)(35, 106)(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) :: { ( 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.598
Graph:: bipartite
	v = 20 e = 72 f = 10
	degree seq :: [ 4^18, 36^2 ]

E22.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, Y2^2, Y1^3 * Y3, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-1 * Y3^2 * Y1, Y3^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 7, 43, 6, 42, 10, 46, 18, 54, 16, 52, 22, 58, 29, 65, 26, 62, 32, 68, 27, 63, 14, 50, 21, 57, 15, 51, 4, 40, 9, 45, 5, 41)(3, 39, 8, 44, 17, 53, 13, 49, 20, 56, 28, 64, 25, 61, 31, 67, 35, 71, 33, 69, 36, 72, 34, 70, 23, 59, 30, 66, 24, 60, 11, 47, 19, 55, 12, 48)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 83, 119)(77, 113, 84, 120)(78, 114, 85, 121)(79, 115, 89, 125)(81, 117, 91, 127)(82, 118, 92, 128)(86, 122, 95, 131)(87, 123, 96, 132)(88, 124, 97, 133)(90, 126, 100, 136)(93, 129, 102, 138)(94, 130, 103, 139)(98, 134, 105, 141)(99, 135, 106, 142)(101, 137, 107, 143)(104, 140, 108, 144)
	L = (1, 76)(2, 81)(3, 83)(4, 86)(5, 87)(6, 73)(7, 77)(8, 91)(9, 93)(10, 74)(11, 95)(12, 96)(13, 75)(14, 98)(15, 99)(16, 78)(17, 84)(18, 79)(19, 102)(20, 80)(21, 104)(22, 82)(23, 105)(24, 106)(25, 85)(26, 88)(27, 101)(28, 89)(29, 90)(30, 108)(31, 92)(32, 94)(33, 97)(34, 107)(35, 100)(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) :: { ( 12, 18, 12, 18 ), ( 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18, 12, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.599
Graph:: bipartite
	v = 20 e = 72 f = 10
	degree seq :: [ 4^18, 36^2 ]

E22.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, Y1^-1 * Y2^2, Y1^-1 * Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^9, (Y3^-1 * Y1^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 17, 53, 25, 61, 29, 65, 21, 57, 13, 49, 5, 41)(3, 39, 9, 45, 18, 54, 26, 62, 33, 69, 30, 66, 22, 58, 14, 50, 6, 42)(4, 40, 10, 46, 19, 55, 27, 63, 34, 70, 31, 67, 23, 59, 15, 51, 7, 43)(11, 47, 20, 56, 28, 64, 35, 71, 36, 72, 32, 68, 24, 60, 16, 52, 12, 48)(73, 109, 75, 111, 74, 110, 81, 117, 80, 116, 90, 126, 89, 125, 98, 134, 97, 133, 105, 141, 101, 137, 102, 138, 93, 129, 94, 130, 85, 121, 86, 122, 77, 113, 78, 114)(76, 112, 83, 119, 82, 118, 92, 128, 91, 127, 100, 136, 99, 135, 107, 143, 106, 142, 108, 144, 103, 139, 104, 140, 95, 131, 96, 132, 87, 123, 88, 124, 79, 115, 84, 120)
	L = (1, 76)(2, 82)(3, 83)(4, 74)(5, 79)(6, 84)(7, 73)(8, 91)(9, 92)(10, 80)(11, 81)(12, 75)(13, 87)(14, 88)(15, 77)(16, 78)(17, 99)(18, 100)(19, 89)(20, 90)(21, 95)(22, 96)(23, 85)(24, 86)(25, 106)(26, 107)(27, 97)(28, 98)(29, 103)(30, 104)(31, 93)(32, 94)(33, 108)(34, 101)(35, 105)(36, 102)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 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 E22.596
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 18^4, 36^2 ]

E22.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, (Y3^-1 * Y2)^2, (Y2^-1, Y1^-1), Y3^2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1^-1), Y2 * Y3 * Y2 * Y1 * Y3, Y2 * Y1 * Y2^3, Y3^2 * Y1^-4, (Y1^2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 23, 59, 13, 49, 21, 57, 29, 65, 18, 54, 5, 41)(3, 39, 9, 45, 24, 60, 33, 69, 19, 55, 6, 42, 11, 47, 26, 62, 15, 51)(4, 40, 10, 46, 25, 61, 34, 70, 20, 56, 7, 43, 12, 48, 27, 63, 17, 53)(14, 50, 22, 58, 30, 66, 36, 72, 32, 68, 16, 52, 28, 64, 35, 71, 31, 67)(73, 109, 75, 111, 85, 121, 91, 127, 77, 113, 87, 123, 95, 131, 105, 141, 90, 126, 98, 134, 80, 116, 96, 132, 101, 137, 83, 119, 74, 110, 81, 117, 93, 129, 78, 114)(76, 112, 86, 122, 92, 128, 104, 140, 89, 125, 103, 139, 106, 142, 108, 144, 99, 135, 107, 143, 97, 133, 102, 138, 84, 120, 100, 136, 82, 118, 94, 130, 79, 115, 88, 124)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 89)(6, 88)(7, 73)(8, 97)(9, 94)(10, 93)(11, 100)(12, 74)(13, 92)(14, 91)(15, 103)(16, 75)(17, 95)(18, 99)(19, 104)(20, 77)(21, 79)(22, 78)(23, 106)(24, 102)(25, 101)(26, 107)(27, 80)(28, 81)(29, 84)(30, 83)(31, 105)(32, 87)(33, 108)(34, 90)(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) :: { ( 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 E22.597
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 18^4, 36^2 ]

E22.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y2^9, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 15, 51)(12, 48, 16, 52)(13, 49, 17, 53)(14, 50, 18, 54)(19, 55, 23, 59)(20, 56, 24, 60)(21, 57, 25, 61)(22, 58, 26, 62)(27, 63, 31, 67)(28, 64, 32, 68)(29, 65, 33, 69)(30, 66, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 83, 119, 91, 127, 99, 135, 102, 138, 94, 130, 86, 122, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 106, 142, 98, 134, 90, 126, 81, 117)(76, 112, 78, 114, 84, 120, 92, 128, 100, 136, 107, 143, 101, 137, 93, 129, 85, 121)(80, 116, 82, 118, 88, 124, 96, 132, 104, 140, 108, 144, 105, 141, 97, 133, 89, 125)
	L = (1, 76)(2, 80)(3, 78)(4, 77)(5, 85)(6, 73)(7, 82)(8, 81)(9, 89)(10, 74)(11, 84)(12, 75)(13, 86)(14, 93)(15, 88)(16, 79)(17, 90)(18, 97)(19, 92)(20, 83)(21, 94)(22, 101)(23, 96)(24, 87)(25, 98)(26, 105)(27, 100)(28, 91)(29, 102)(30, 107)(31, 104)(32, 95)(33, 106)(34, 108)(35, 99)(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) :: { ( 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.606
Graph:: simple bipartite
	v = 22 e = 72 f = 8
	degree seq :: [ 4^18, 18^4 ]

E22.605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 19, 55)(12, 48, 20, 56)(13, 49, 21, 57)(14, 50, 22, 58)(15, 51, 23, 59)(16, 52, 24, 60)(17, 53, 25, 61)(18, 54, 26, 62)(27, 63, 32, 68)(28, 64, 33, 69)(29, 65, 34, 70)(30, 66, 35, 71)(31, 67, 36, 72)(73, 109, 75, 111, 83, 119, 99, 135, 90, 126, 86, 122, 102, 138, 88, 124, 77, 113)(74, 110, 79, 115, 91, 127, 104, 140, 98, 134, 94, 130, 107, 143, 96, 132, 81, 117)(76, 112, 84, 120, 100, 136, 89, 125, 78, 114, 85, 121, 101, 137, 103, 139, 87, 123)(80, 116, 92, 128, 105, 141, 97, 133, 82, 118, 93, 129, 106, 142, 108, 144, 95, 131)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 100)(12, 102)(13, 75)(14, 85)(15, 90)(16, 103)(17, 77)(18, 78)(19, 105)(20, 107)(21, 79)(22, 93)(23, 98)(24, 108)(25, 81)(26, 82)(27, 89)(28, 88)(29, 83)(30, 101)(31, 99)(32, 97)(33, 96)(34, 91)(35, 106)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12, 36, 12, 36 ), ( 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.607
Graph:: simple bipartite
	v = 22 e = 72 f = 8
	degree seq :: [ 4^18, 18^4 ]

E22.606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, (Y3 * Y1)^2, Y3 * Y2^-3, (R * Y1)^2, Y3^2 * Y1^2, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (Y2, Y3), Y3^2 * Y2 * Y1^2 * Y2^-1, Y3^-2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 33, 69, 31, 67, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 24, 60, 18, 54)(6, 42, 11, 47, 23, 59, 34, 70, 29, 65, 19, 55)(13, 49, 25, 61, 20, 56, 28, 64, 36, 72, 30, 66)(14, 50, 26, 62, 16, 52, 27, 63, 35, 71, 32, 68)(73, 109, 75, 111, 85, 121, 76, 112, 86, 122, 101, 137, 89, 125, 103, 139, 108, 144, 96, 132, 107, 143, 95, 131, 80, 116, 94, 130, 92, 128, 79, 115, 88, 124, 78, 114)(74, 110, 81, 117, 97, 133, 82, 118, 98, 134, 91, 127, 77, 113, 87, 123, 102, 138, 90, 126, 104, 140, 106, 142, 93, 129, 105, 141, 100, 136, 84, 120, 99, 135, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 85)(7, 73)(8, 79)(9, 98)(10, 77)(11, 97)(12, 74)(13, 101)(14, 103)(15, 104)(16, 75)(17, 96)(18, 93)(19, 102)(20, 78)(21, 84)(22, 88)(23, 92)(24, 80)(25, 91)(26, 87)(27, 81)(28, 83)(29, 108)(30, 106)(31, 107)(32, 105)(33, 99)(34, 100)(35, 94)(36, 95)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.604
Graph:: bipartite
	v = 8 e = 72 f = 22
	degree seq :: [ 12^6, 36^2 ]

E22.607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 9, 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 :: [ R^2, Y1^-2 * Y3^-2, (Y3 * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^-3, (Y2, Y3^-1), (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^6, Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 21, 57, 17, 53, 5, 41)(3, 39, 9, 45, 22, 58, 33, 69, 29, 65, 15, 51)(4, 40, 10, 46, 7, 43, 12, 48, 24, 60, 18, 54)(6, 42, 11, 47, 23, 59, 34, 70, 31, 67, 20, 56)(13, 49, 25, 61, 35, 71, 32, 68, 19, 55, 28, 64)(14, 50, 26, 62, 16, 52, 27, 63, 36, 72, 30, 66)(73, 109, 75, 111, 85, 121, 79, 115, 88, 124, 95, 131, 80, 116, 94, 130, 107, 143, 96, 132, 108, 144, 103, 139, 89, 125, 101, 137, 91, 127, 76, 112, 86, 122, 78, 114)(74, 110, 81, 117, 97, 133, 84, 120, 99, 135, 106, 142, 93, 129, 105, 141, 104, 140, 90, 126, 102, 138, 92, 128, 77, 113, 87, 123, 100, 136, 82, 118, 98, 134, 83, 119)
	L = (1, 76)(2, 82)(3, 86)(4, 89)(5, 90)(6, 91)(7, 73)(8, 79)(9, 98)(10, 77)(11, 100)(12, 74)(13, 78)(14, 101)(15, 102)(16, 75)(17, 96)(18, 93)(19, 103)(20, 104)(21, 84)(22, 88)(23, 85)(24, 80)(25, 83)(26, 87)(27, 81)(28, 92)(29, 108)(30, 105)(31, 107)(32, 106)(33, 99)(34, 97)(35, 95)(36, 94)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.605
Graph:: bipartite
	v = 8 e = 72 f = 22
	degree seq :: [ 12^6, 36^2 ]

E22.608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y1 * Y2^-2, Y1 * Y3 * Y1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (R * Y1)^2, Y2 * Y3^-3 * Y2^-1 * Y3^3, Y3^-3 * Y2^-1 * Y3^-6, (Y2^-1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 7, 43)(6, 42, 8, 44)(9, 45, 12, 48)(10, 46, 13, 49)(11, 47, 15, 51)(14, 50, 16, 52)(17, 53, 20, 56)(18, 54, 21, 57)(19, 55, 23, 59)(22, 58, 24, 60)(25, 61, 28, 64)(26, 62, 29, 65)(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, 81, 117, 79, 115, 84, 120)(78, 114, 82, 118, 80, 116, 85, 121)(83, 119, 89, 125, 87, 123, 92, 128)(86, 122, 90, 126, 88, 124, 93, 129)(91, 127, 97, 133, 95, 131, 100, 136)(94, 130, 98, 134, 96, 132, 101, 137)(99, 135, 105, 141, 103, 139, 108, 144)(102, 138, 106, 142, 104, 140, 107, 143)
	L = (1, 76)(2, 79)(3, 81)(4, 83)(5, 84)(6, 73)(7, 87)(8, 74)(9, 89)(10, 75)(11, 91)(12, 92)(13, 77)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 100)(21, 85)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 107)(28, 108)(29, 93)(30, 94)(31, 106)(32, 96)(33, 102)(34, 98)(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) :: { ( 36, 72, 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E22.611
Graph:: bipartite
	v = 27 e = 72 f = 3
	degree seq :: [ 4^18, 8^9 ]

E22.609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y2, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^9, (Y3 * Y2^-1)^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 7, 43, 13, 49, 10, 46)(5, 41, 8, 44, 14, 50, 11, 47)(9, 45, 15, 51, 21, 57, 18, 54)(12, 48, 16, 52, 22, 58, 19, 55)(17, 53, 23, 59, 29, 65, 26, 62)(20, 56, 24, 60, 30, 66, 27, 63)(25, 61, 31, 67, 36, 72, 34, 70)(28, 64, 32, 68, 33, 69, 35, 71)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 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, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 76)(7, 85)(8, 86)(9, 87)(10, 75)(11, 77)(12, 88)(13, 82)(14, 83)(15, 93)(16, 94)(17, 95)(18, 81)(19, 84)(20, 96)(21, 90)(22, 91)(23, 101)(24, 102)(25, 103)(26, 89)(27, 92)(28, 104)(29, 98)(30, 99)(31, 108)(32, 105)(33, 107)(34, 97)(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) :: { ( 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 E22.610
Graph:: bipartite
	v = 11 e = 72 f = 19
	degree seq :: [ 8^9, 36^2 ]

E22.610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, (Y1, Y3), (R * Y2)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y1^3 * Y3 * Y1^-3 * Y3^-1, Y1^-3 * Y3 * Y1^-6, 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 * 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, 37, 2, 38, 7, 43, 15, 51, 23, 59, 31, 67, 28, 64, 20, 56, 12, 48, 4, 40, 9, 45, 17, 53, 25, 61, 33, 69, 35, 71, 27, 63, 19, 55, 11, 47, 3, 39, 8, 44, 16, 52, 24, 60, 32, 68, 36, 72, 30, 66, 22, 58, 14, 50, 6, 42, 10, 46, 18, 54, 26, 62, 34, 70, 29, 65, 21, 57, 13, 49, 5, 41)(73, 109, 75, 111)(74, 110, 80, 116)(76, 112, 78, 114)(77, 113, 83, 119)(79, 115, 88, 124)(81, 117, 82, 118)(84, 120, 86, 122)(85, 121, 91, 127)(87, 123, 96, 132)(89, 125, 90, 126)(92, 128, 94, 130)(93, 129, 99, 135)(95, 131, 104, 140)(97, 133, 98, 134)(100, 136, 102, 138)(101, 137, 107, 143)(103, 139, 108, 144)(105, 141, 106, 142)
	L = (1, 76)(2, 81)(3, 78)(4, 75)(5, 84)(6, 73)(7, 89)(8, 82)(9, 80)(10, 74)(11, 86)(12, 83)(13, 92)(14, 77)(15, 97)(16, 90)(17, 88)(18, 79)(19, 94)(20, 91)(21, 100)(22, 85)(23, 105)(24, 98)(25, 96)(26, 87)(27, 102)(28, 99)(29, 103)(30, 93)(31, 107)(32, 106)(33, 104)(34, 95)(35, 108)(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) :: { ( 8, 36, 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.609
Graph:: bipartite
	v = 19 e = 72 f = 11
	degree seq :: [ 4^18, 72 ]

E22.611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), Y2^-2 * Y3^2, (R * Y2)^2, (Y3^-1, Y1^-1), (Y3^-1, Y2), Y1^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y3^-1 * Y2^-1 * Y1^16, Y2^36 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 19, 55, 29, 65, 34, 70, 27, 63, 13, 49, 22, 58, 16, 52, 23, 59, 18, 54, 24, 60, 32, 68, 33, 69, 28, 64, 14, 50, 5, 41)(3, 39, 9, 45, 7, 43, 12, 48, 21, 57, 31, 67, 35, 71, 25, 61, 17, 53, 4, 40, 10, 46, 6, 42, 11, 47, 20, 56, 30, 66, 36, 72, 26, 62, 15, 51)(73, 109, 75, 111, 85, 121, 97, 133, 105, 141, 102, 138, 91, 127, 84, 120, 95, 131, 82, 118, 77, 113, 87, 123, 99, 135, 107, 143, 104, 140, 92, 128, 80, 116, 79, 115, 88, 124, 76, 112, 86, 122, 98, 134, 106, 142, 103, 139, 96, 132, 83, 119, 74, 110, 81, 117, 94, 130, 89, 125, 100, 136, 108, 144, 101, 137, 93, 129, 90, 126, 78, 114)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 89)(6, 88)(7, 73)(8, 78)(9, 77)(10, 94)(11, 95)(12, 74)(13, 98)(14, 97)(15, 100)(16, 75)(17, 99)(18, 79)(19, 83)(20, 90)(21, 80)(22, 87)(23, 81)(24, 84)(25, 106)(26, 105)(27, 108)(28, 107)(29, 92)(30, 96)(31, 91)(32, 93)(33, 103)(34, 102)(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, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E22.608
Graph:: bipartite
	v = 3 e = 72 f = 27
	degree seq :: [ 36^2, 72 ]

E22.612 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y1 * Y2^2 * Y3^-2, Y1 * Y2^-2 * Y3^2, Y2^4 * Y3 * Y2 * Y3 * Y2^2, (Y2^-2 * Y3^-1)^12 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 7, 43)(4, 40, 8, 44)(5, 41, 9, 45)(6, 42, 10, 46)(11, 47, 14, 50)(12, 48, 19, 55)(13, 49, 15, 51)(16, 52, 18, 54)(17, 53, 20, 56)(21, 57, 23, 59)(22, 58, 24, 60)(25, 61, 27, 63)(26, 62, 28, 64)(29, 65, 31, 67)(30, 66, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 83, 119, 93, 129, 101, 137, 107, 143, 99, 135, 90, 126, 81, 117, 74, 110, 79, 115, 86, 122, 95, 131, 103, 139, 105, 141, 97, 133, 88, 124, 77, 113)(76, 112, 84, 120, 94, 130, 102, 138, 106, 142, 98, 134, 89, 125, 78, 114, 85, 121, 80, 116, 91, 127, 96, 132, 104, 140, 108, 144, 100, 136, 92, 128, 82, 118, 87, 123)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 91)(8, 83)(9, 85)(10, 74)(11, 94)(12, 95)(13, 75)(14, 96)(15, 79)(16, 82)(17, 77)(18, 78)(19, 93)(20, 81)(21, 102)(22, 103)(23, 104)(24, 101)(25, 92)(26, 88)(27, 89)(28, 90)(29, 106)(30, 105)(31, 108)(32, 107)(33, 100)(34, 97)(35, 98)(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) :: { ( 8, 72, 8, 72 ), ( 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E22.613
Graph:: bipartite
	v = 20 e = 72 f = 10
	degree seq :: [ 4^18, 36^2 ]

E22.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 18, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2, Y1^-1), (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-9 * Y1^-1, (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 6, 42, 4, 40)(3, 39, 7, 43, 13, 49, 10, 46)(5, 41, 8, 44, 14, 50, 11, 47)(9, 45, 15, 51, 21, 57, 18, 54)(12, 48, 16, 52, 22, 58, 19, 55)(17, 53, 23, 59, 29, 65, 26, 62)(20, 56, 24, 60, 30, 66, 27, 63)(25, 61, 31, 67, 35, 71, 34, 70)(28, 64, 32, 68, 36, 72, 33, 69)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 99, 135, 91, 127, 83, 119, 76, 112, 82, 118, 90, 126, 98, 134, 106, 142, 108, 144, 102, 138, 94, 130, 86, 122, 78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 104, 140, 96, 132, 88, 124, 80, 116, 74, 110, 79, 115, 87, 123, 95, 131, 103, 139, 100, 136, 92, 128, 84, 120, 77, 113)
	L = (1, 74)(2, 78)(3, 79)(4, 73)(5, 80)(6, 76)(7, 85)(8, 86)(9, 87)(10, 75)(11, 77)(12, 88)(13, 82)(14, 83)(15, 93)(16, 94)(17, 95)(18, 81)(19, 84)(20, 96)(21, 90)(22, 91)(23, 101)(24, 102)(25, 103)(26, 89)(27, 92)(28, 104)(29, 98)(30, 99)(31, 107)(32, 108)(33, 100)(34, 97)(35, 106)(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, 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 E22.612
Graph:: bipartite
	v = 10 e = 72 f = 20
	degree seq :: [ 8^9, 72 ]

E22.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 5})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * Y2^2, Y2^-1 * Y3^-2 * Y2^-1, Y1^4, Y1^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y2^-1, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 6, 46, 9, 49)(4, 44, 15, 55, 7, 47, 16, 56)(10, 50, 19, 59, 12, 52, 20, 60)(13, 53, 21, 61, 14, 54, 22, 62)(17, 57, 25, 65, 18, 58, 26, 66)(23, 63, 31, 71, 24, 64, 32, 72)(27, 67, 35, 75, 28, 68, 36, 76)(29, 69, 37, 77, 30, 70, 38, 78)(33, 73, 39, 79, 34, 74, 40, 80)(81, 121, 83, 123, 88, 128, 86, 126)(82, 122, 89, 129, 85, 125, 91, 131)(84, 124, 94, 134, 87, 127, 93, 133)(90, 130, 98, 138, 92, 132, 97, 137)(95, 135, 101, 141, 96, 136, 102, 142)(99, 139, 105, 145, 100, 140, 106, 146)(103, 143, 110, 150, 104, 144, 109, 149)(107, 147, 114, 154, 108, 148, 113, 153)(111, 151, 117, 157, 112, 152, 118, 158)(115, 155, 119, 159, 116, 156, 120, 160)
	L = (1, 84)(2, 90)(3, 93)(4, 88)(5, 92)(6, 94)(7, 81)(8, 87)(9, 97)(10, 85)(11, 98)(12, 82)(13, 86)(14, 83)(15, 103)(16, 104)(17, 91)(18, 89)(19, 107)(20, 108)(21, 109)(22, 110)(23, 96)(24, 95)(25, 113)(26, 114)(27, 100)(28, 99)(29, 102)(30, 101)(31, 116)(32, 115)(33, 106)(34, 105)(35, 111)(36, 112)(37, 119)(38, 120)(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) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.615
Graph:: bipartite
	v = 20 e = 80 f = 18
	degree seq :: [ 8^20 ]

E22.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 5})
Quotient :: dipole
Aut^+ = C5 : Q8 (small group id <40, 4>)
Aut   = (C20 x C2) : C2 (small group id <80, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3^-1 * Y2 * Y3 * Y2, Y3^-2 * Y2^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2^-1 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3 * Y1, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2 * Y1, Y1^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 18, 58, 5, 45)(3, 43, 13, 53, 28, 68, 21, 61, 9, 49)(4, 44, 17, 57, 32, 72, 22, 62, 10, 50)(6, 46, 19, 59, 33, 73, 23, 63, 11, 51)(7, 47, 20, 60, 34, 74, 24, 64, 12, 52)(14, 54, 25, 65, 35, 75, 38, 78, 29, 69)(15, 55, 26, 66, 36, 76, 39, 79, 30, 70)(16, 56, 27, 67, 37, 77, 40, 80, 31, 71)(81, 121, 83, 123, 94, 134, 86, 126)(82, 122, 89, 129, 105, 145, 91, 131)(84, 124, 96, 136, 87, 127, 95, 135)(85, 125, 93, 133, 109, 149, 99, 139)(88, 128, 101, 141, 115, 155, 103, 143)(90, 130, 107, 147, 92, 132, 106, 146)(97, 137, 111, 151, 100, 140, 110, 150)(98, 138, 108, 148, 118, 158, 113, 153)(102, 142, 117, 157, 104, 144, 116, 156)(112, 152, 120, 160, 114, 154, 119, 159)
	L = (1, 84)(2, 90)(3, 95)(4, 94)(5, 97)(6, 96)(7, 81)(8, 102)(9, 106)(10, 105)(11, 107)(12, 82)(13, 110)(14, 87)(15, 86)(16, 83)(17, 109)(18, 112)(19, 111)(20, 85)(21, 116)(22, 115)(23, 117)(24, 88)(25, 92)(26, 91)(27, 89)(28, 119)(29, 100)(30, 99)(31, 93)(32, 118)(33, 120)(34, 98)(35, 104)(36, 103)(37, 101)(38, 114)(39, 113)(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) :: { ( 8^8 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E22.614
Graph:: simple bipartite
	v = 18 e = 80 f = 20
	degree seq :: [ 8^10, 10^8 ]

E22.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 8})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3, Y1), Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y2^3 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 17, 57, 5, 45)(3, 43, 13, 53, 31, 71, 23, 63, 9, 49)(4, 44, 10, 50, 7, 47, 12, 52, 18, 58)(6, 46, 20, 60, 35, 75, 24, 64, 11, 51)(14, 54, 25, 65, 37, 77, 39, 79, 32, 72)(15, 55, 27, 67, 16, 56, 33, 73, 26, 66)(19, 59, 36, 76, 29, 69, 21, 61, 28, 68)(22, 62, 30, 70, 38, 78, 40, 80, 34, 74)(81, 121, 83, 123, 94, 134, 108, 148, 90, 130, 107, 147, 102, 142, 86, 126)(82, 122, 89, 129, 105, 145, 101, 141, 87, 127, 95, 135, 110, 150, 91, 131)(84, 124, 96, 136, 114, 154, 100, 140, 85, 125, 93, 133, 112, 152, 99, 139)(88, 128, 103, 143, 117, 157, 109, 149, 92, 132, 106, 146, 118, 158, 104, 144)(97, 137, 111, 151, 119, 159, 116, 156, 98, 138, 113, 153, 120, 160, 115, 155)
	L = (1, 84)(2, 90)(3, 95)(4, 97)(5, 98)(6, 101)(7, 81)(8, 87)(9, 106)(10, 85)(11, 109)(12, 82)(13, 107)(14, 114)(15, 103)(16, 83)(17, 92)(18, 88)(19, 86)(20, 108)(21, 104)(22, 112)(23, 113)(24, 116)(25, 102)(26, 111)(27, 89)(28, 91)(29, 115)(30, 94)(31, 96)(32, 120)(33, 93)(34, 119)(35, 99)(36, 100)(37, 110)(38, 105)(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) :: { ( 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 E22.617
Graph:: bipartite
	v = 13 e = 80 f = 25
	degree seq :: [ 10^8, 16^5 ]

E22.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8, 8})
Quotient :: dipole
Aut^+ = C5 : C8 (small group id <40, 1>)
Aut   = (C5 x D8) : C2 (small group id <80, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y1^4 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^3 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 12, 52, 3, 43, 8, 48, 17, 57, 5, 45)(4, 44, 10, 50, 19, 59, 26, 66, 11, 51, 22, 62, 30, 70, 15, 55)(6, 46, 9, 49, 20, 60, 27, 67, 13, 53, 21, 61, 32, 72, 16, 56)(14, 54, 24, 64, 33, 73, 37, 77, 25, 65, 36, 76, 39, 79, 29, 69)(18, 58, 23, 63, 34, 74, 38, 78, 28, 68, 35, 75, 40, 80, 31, 71)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 91, 131)(85, 125, 92, 132)(86, 126, 93, 133)(87, 127, 97, 137)(89, 129, 101, 141)(90, 130, 102, 142)(94, 134, 105, 145)(95, 135, 106, 146)(96, 136, 107, 147)(98, 138, 108, 148)(99, 139, 110, 150)(100, 140, 112, 152)(103, 143, 115, 155)(104, 144, 116, 156)(109, 149, 117, 157)(111, 151, 118, 158)(113, 153, 119, 159)(114, 154, 120, 160)
	L = (1, 84)(2, 89)(3, 91)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 108)(15, 85)(16, 111)(17, 110)(18, 86)(19, 113)(20, 87)(21, 115)(22, 88)(23, 116)(24, 90)(25, 98)(26, 92)(27, 118)(28, 93)(29, 95)(30, 119)(31, 117)(32, 97)(33, 120)(34, 100)(35, 104)(36, 102)(37, 106)(38, 109)(39, 114)(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) :: { ( 10, 16, 10, 16 ), ( 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.616
Graph:: bipartite
	v = 25 e = 80 f = 13
	degree seq :: [ 4^20, 16^5 ]

E22.618 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^4, Y2^2 * Y3 * Y2^2, Y2^2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^5 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 13, 53)(5, 45, 15, 55)(6, 46, 16, 56)(7, 47, 18, 58)(8, 48, 27, 67)(10, 50, 14, 54)(11, 51, 32, 72)(12, 52, 22, 62)(17, 57, 20, 60)(19, 59, 35, 75)(21, 61, 36, 76)(23, 63, 38, 78)(24, 64, 28, 68)(25, 65, 33, 73)(26, 66, 30, 70)(29, 69, 34, 74)(31, 71, 37, 77)(39, 79, 40, 80)(81, 82, 87, 95, 84, 89, 98, 85)(83, 91, 109, 90, 93, 112, 114, 94)(86, 100, 111, 116, 96, 97, 117, 101)(88, 105, 92, 104, 107, 113, 102, 108)(99, 103, 119, 106, 115, 118, 120, 110)(121, 123, 132, 136, 124, 133, 142, 126)(122, 128, 146, 134, 129, 147, 150, 130)(125, 137, 149, 155, 135, 140, 154, 139)(127, 143, 156, 148, 138, 158, 141, 144)(131, 151, 160, 145, 152, 157, 159, 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) :: { ( 20^4 ), ( 20^8 ) }
Outer automorphisms :: reflexible
Dual of E22.621
Graph:: bipartite
	v = 30 e = 80 f = 8
	degree seq :: [ 4^20, 8^10 ]

E22.619 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 5, 8, 8})
Quotient :: edge^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^2 * Y2^-1, Y1 * Y3 * Y1^2 * Y2^-1, Y3^5, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y1^3 * Y3^-1 * Y2^-1, Y1 * Y2^2 * Y3^-1 * Y1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y3^-2 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y2^-2, Y1^2 * Y3 * Y2^2, Y2 * Y3 * Y2^-1 * Y3^-2, Y1 * Y3^-1 * Y1^-1 * Y3^-2, Y1 * Y2^-3 * Y3, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 4, 44, 20, 60, 37, 77, 7, 47)(2, 42, 10, 50, 18, 58, 33, 73, 12, 52)(3, 43, 15, 55, 34, 74, 19, 59, 17, 57)(5, 45, 24, 64, 35, 75, 21, 61, 27, 67)(6, 46, 29, 69, 22, 62, 36, 76, 32, 72)(8, 48, 31, 71, 16, 56, 40, 80, 23, 63)(9, 49, 38, 78, 30, 70, 26, 66, 13, 53)(11, 51, 39, 79, 28, 68, 25, 65, 14, 54)(81, 82, 88, 95, 118, 116, 105, 85)(83, 93, 112, 91, 107, 117, 90, 96)(84, 98, 103, 97, 110, 86, 108, 101)(87, 113, 111, 99, 89, 109, 94, 115)(92, 120, 114, 106, 102, 119, 104, 100)(121, 123, 134, 138, 158, 147, 151, 126)(122, 129, 144, 136, 156, 127, 154, 131)(124, 139, 145, 132, 150, 155, 128, 142)(125, 143, 152, 140, 135, 148, 130, 146)(133, 141, 160, 149, 157, 137, 159, 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) :: { ( 8^8 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E22.620
Graph:: simple bipartite
	v = 18 e = 80 f = 20
	degree seq :: [ 8^10, 10^8 ]

E22.620 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y1^4, Y2^2 * Y3 * Y2^2, Y2^2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^5 ]
Map:: 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, 15, 55, 95, 135)(6, 46, 86, 126, 16, 56, 96, 136)(7, 47, 87, 127, 18, 58, 98, 138)(8, 48, 88, 128, 27, 67, 107, 147)(10, 50, 90, 130, 14, 54, 94, 134)(11, 51, 91, 131, 32, 72, 112, 152)(12, 52, 92, 132, 22, 62, 102, 142)(17, 57, 97, 137, 20, 60, 100, 140)(19, 59, 99, 139, 35, 75, 115, 155)(21, 61, 101, 141, 36, 76, 116, 156)(23, 63, 103, 143, 38, 78, 118, 158)(24, 64, 104, 144, 28, 68, 108, 148)(25, 65, 105, 145, 33, 73, 113, 153)(26, 66, 106, 146, 30, 70, 110, 150)(29, 69, 109, 149, 34, 74, 114, 154)(31, 71, 111, 151, 37, 77, 117, 157)(39, 79, 119, 159, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 51)(4, 49)(5, 41)(6, 60)(7, 55)(8, 65)(9, 58)(10, 53)(11, 69)(12, 64)(13, 72)(14, 43)(15, 44)(16, 57)(17, 77)(18, 45)(19, 63)(20, 71)(21, 46)(22, 68)(23, 79)(24, 67)(25, 52)(26, 75)(27, 73)(28, 48)(29, 50)(30, 59)(31, 76)(32, 74)(33, 62)(34, 54)(35, 78)(36, 56)(37, 61)(38, 80)(39, 66)(40, 70)(81, 123)(82, 128)(83, 132)(84, 133)(85, 137)(86, 121)(87, 143)(88, 146)(89, 147)(90, 122)(91, 151)(92, 136)(93, 142)(94, 129)(95, 140)(96, 124)(97, 149)(98, 158)(99, 125)(100, 154)(101, 144)(102, 126)(103, 156)(104, 127)(105, 152)(106, 134)(107, 150)(108, 138)(109, 155)(110, 130)(111, 160)(112, 157)(113, 131)(114, 139)(115, 135)(116, 148)(117, 159)(118, 141)(119, 153)(120, 145)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.619
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 18
	degree seq :: [ 8^20 ]

E22.621 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 5, 8, 8})
Quotient :: loop^2
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^2 * Y2^-1, Y1 * Y3 * Y1^2 * Y2^-1, Y3^5, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, Y1^3 * Y3^-1 * Y2^-1, Y1 * Y2^2 * Y3^-1 * Y1, Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y1 * Y3^-2 * Y1^-1 * Y3, Y1 * Y2^-1 * Y3^-1 * Y2^-2, Y1^2 * Y3 * Y2^2, Y2 * Y3 * Y2^-1 * Y3^-2, Y1 * Y3^-1 * Y1^-1 * Y3^-2, Y1 * Y2^-3 * Y3, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 20, 60, 100, 140, 37, 77, 117, 157, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 18, 58, 98, 138, 33, 73, 113, 153, 12, 52, 92, 132)(3, 43, 83, 123, 15, 55, 95, 135, 34, 74, 114, 154, 19, 59, 99, 139, 17, 57, 97, 137)(5, 45, 85, 125, 24, 64, 104, 144, 35, 75, 115, 155, 21, 61, 101, 141, 27, 67, 107, 147)(6, 46, 86, 126, 29, 69, 109, 149, 22, 62, 102, 142, 36, 76, 116, 156, 32, 72, 112, 152)(8, 48, 88, 128, 31, 71, 111, 151, 16, 56, 96, 136, 40, 80, 120, 160, 23, 63, 103, 143)(9, 49, 89, 129, 38, 78, 118, 158, 30, 70, 110, 150, 26, 66, 106, 146, 13, 53, 93, 133)(11, 51, 91, 131, 39, 79, 119, 159, 28, 68, 108, 148, 25, 65, 105, 145, 14, 54, 94, 134)
	L = (1, 42)(2, 48)(3, 53)(4, 58)(5, 41)(6, 68)(7, 73)(8, 55)(9, 69)(10, 56)(11, 67)(12, 80)(13, 72)(14, 75)(15, 78)(16, 43)(17, 70)(18, 63)(19, 49)(20, 52)(21, 44)(22, 79)(23, 57)(24, 60)(25, 45)(26, 62)(27, 77)(28, 61)(29, 54)(30, 46)(31, 59)(32, 51)(33, 71)(34, 66)(35, 47)(36, 65)(37, 50)(38, 76)(39, 64)(40, 74)(81, 123)(82, 129)(83, 134)(84, 139)(85, 143)(86, 121)(87, 154)(88, 142)(89, 144)(90, 146)(91, 122)(92, 150)(93, 141)(94, 138)(95, 148)(96, 156)(97, 159)(98, 158)(99, 145)(100, 135)(101, 160)(102, 124)(103, 152)(104, 136)(105, 132)(106, 125)(107, 151)(108, 130)(109, 157)(110, 155)(111, 126)(112, 140)(113, 133)(114, 131)(115, 128)(116, 127)(117, 137)(118, 147)(119, 153)(120, 149)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.618
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 30
	degree seq :: [ 20^8 ]

E22.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3^-1 * Y1, Y2^-2 * Y3^-5 * Y1, Y3 * Y2^-1 * Y3 * Y2 * Y3^3 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 8, 48)(5, 45, 7, 47)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 21, 61)(13, 53, 23, 63)(14, 54, 19, 59)(15, 55, 22, 62)(16, 56, 20, 60)(17, 57, 24, 64)(25, 65, 33, 73)(26, 66, 34, 74)(27, 67, 37, 77)(28, 68, 39, 79)(29, 69, 35, 75)(30, 70, 38, 78)(31, 71, 36, 76)(32, 72, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 94, 134, 105, 145, 92, 132)(86, 126, 96, 136, 106, 146, 93, 133)(88, 128, 101, 141, 113, 153, 99, 139)(90, 130, 103, 143, 114, 154, 100, 140)(95, 135, 107, 147, 120, 160, 109, 149)(97, 137, 108, 148, 118, 158, 111, 151)(102, 142, 115, 155, 112, 152, 117, 157)(104, 144, 116, 156, 110, 150, 119, 159)
	L = (1, 84)(2, 88)(3, 92)(4, 95)(5, 94)(6, 81)(7, 99)(8, 102)(9, 101)(10, 82)(11, 105)(12, 107)(13, 83)(14, 109)(15, 110)(16, 85)(17, 86)(18, 113)(19, 115)(20, 87)(21, 117)(22, 118)(23, 89)(24, 90)(25, 120)(26, 91)(27, 116)(28, 93)(29, 119)(30, 114)(31, 96)(32, 97)(33, 112)(34, 98)(35, 108)(36, 100)(37, 111)(38, 106)(39, 103)(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) :: { ( 20^4 ), ( 20^8 ) }
Outer automorphisms :: reflexible
Dual of E22.645
Graph:: simple bipartite
	v = 30 e = 80 f = 8
	degree seq :: [ 4^20, 8^10 ]

E22.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ Y3^2, R^2, Y1^4, Y1^4, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, Y2^5 * Y1^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 8, 48, 18, 58, 13, 53)(4, 44, 14, 54, 19, 59, 9, 49)(6, 46, 10, 50, 20, 60, 16, 56)(11, 51, 21, 61, 32, 72, 27, 67)(12, 52, 28, 68, 33, 73, 22, 62)(15, 55, 29, 69, 34, 74, 23, 63)(17, 57, 24, 64, 25, 65, 31, 71)(26, 66, 38, 78, 40, 80, 35, 75)(30, 70, 39, 79, 37, 77, 36, 76)(81, 121, 83, 123, 91, 131, 105, 145, 100, 140, 87, 127, 98, 138, 112, 152, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 111, 151, 96, 136, 85, 125, 93, 133, 107, 147, 104, 144, 90, 130)(84, 124, 92, 132, 106, 146, 117, 157, 114, 154, 99, 139, 113, 153, 120, 160, 110, 150, 95, 135)(89, 129, 102, 142, 115, 155, 119, 159, 109, 149, 94, 134, 108, 148, 118, 158, 116, 156, 103, 143)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 94)(6, 95)(7, 99)(8, 102)(9, 82)(10, 103)(11, 106)(12, 83)(13, 108)(14, 85)(15, 86)(16, 109)(17, 110)(18, 113)(19, 87)(20, 114)(21, 115)(22, 88)(23, 90)(24, 116)(25, 117)(26, 91)(27, 118)(28, 93)(29, 96)(30, 97)(31, 119)(32, 120)(33, 98)(34, 100)(35, 101)(36, 104)(37, 105)(38, 107)(39, 111)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.636
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ Y3^2, R^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y2^-3 * Y1^2 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 10, 50, 18, 58, 13, 53)(4, 44, 14, 54, 19, 59, 9, 49)(6, 46, 8, 48, 20, 60, 16, 56)(11, 51, 24, 64, 32, 72, 27, 67)(12, 52, 28, 68, 33, 73, 23, 63)(15, 55, 29, 69, 34, 74, 22, 62)(17, 57, 21, 61, 25, 65, 31, 71)(26, 66, 38, 78, 40, 80, 36, 76)(30, 70, 39, 79, 37, 77, 35, 75)(81, 121, 83, 123, 91, 131, 105, 145, 100, 140, 87, 127, 98, 138, 112, 152, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 107, 147, 93, 133, 85, 125, 96, 136, 111, 151, 104, 144, 90, 130)(84, 124, 92, 132, 106, 146, 117, 157, 114, 154, 99, 139, 113, 153, 120, 160, 110, 150, 95, 135)(89, 129, 102, 142, 115, 155, 118, 158, 108, 148, 94, 134, 109, 149, 119, 159, 116, 156, 103, 143)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 94)(6, 95)(7, 99)(8, 102)(9, 82)(10, 103)(11, 106)(12, 83)(13, 108)(14, 85)(15, 86)(16, 109)(17, 110)(18, 113)(19, 87)(20, 114)(21, 115)(22, 88)(23, 90)(24, 116)(25, 117)(26, 91)(27, 118)(28, 93)(29, 96)(30, 97)(31, 119)(32, 120)(33, 98)(34, 100)(35, 101)(36, 104)(37, 105)(38, 107)(39, 111)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.638
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, (Y3^-1 * Y2^-1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y2^-2, Y1^4, Y1^-2 * Y2^-1 * Y1^-2 * Y2, Y2^5 * Y1^-2, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3^2 * Y1, Y2 * Y1^2 * Y2^2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 22, 62, 15, 55)(4, 44, 17, 57, 23, 63, 12, 52)(6, 46, 9, 49, 24, 64, 20, 60)(7, 47, 21, 61, 25, 65, 10, 50)(13, 53, 29, 69, 39, 79, 32, 72)(14, 54, 34, 74, 40, 80, 27, 67)(16, 56, 35, 75, 38, 78, 30, 70)(18, 58, 26, 66, 31, 71, 37, 77)(19, 59, 36, 76, 33, 73, 28, 68)(81, 121, 83, 123, 93, 133, 111, 151, 104, 144, 88, 128, 102, 142, 119, 159, 98, 138, 86, 126)(82, 122, 89, 129, 106, 146, 112, 152, 95, 135, 85, 125, 100, 140, 117, 157, 109, 149, 91, 131)(84, 124, 94, 134, 87, 127, 96, 136, 113, 153, 103, 143, 120, 160, 105, 145, 118, 158, 99, 139)(90, 130, 107, 147, 92, 132, 108, 148, 115, 155, 101, 141, 114, 154, 97, 137, 116, 156, 110, 150)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 101)(6, 99)(7, 81)(8, 103)(9, 107)(10, 109)(11, 110)(12, 82)(13, 87)(14, 86)(15, 115)(16, 83)(17, 85)(18, 118)(19, 119)(20, 114)(21, 112)(22, 120)(23, 111)(24, 113)(25, 88)(26, 92)(27, 91)(28, 89)(29, 116)(30, 117)(31, 96)(32, 108)(33, 93)(34, 95)(35, 106)(36, 100)(37, 97)(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, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.643
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y1 * Y2 * Y1^-1 * Y2, (Y2^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^-2 * Y3^-1 * Y2 * Y3^-1, Y1^-2 * Y3^2 * Y2^-1, Y1^-2 * Y2^-1 * Y3^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y2^-4 * Y3^-2, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 18, 58, 15, 55)(4, 44, 17, 57, 16, 56, 12, 52)(6, 46, 9, 49, 24, 64, 20, 60)(7, 47, 21, 61, 19, 59, 10, 50)(13, 53, 27, 67, 34, 74, 31, 71)(14, 54, 33, 73, 32, 72, 28, 68)(22, 62, 25, 65, 29, 69, 36, 76)(23, 63, 37, 77, 35, 75, 26, 66)(30, 70, 40, 80, 39, 79, 38, 78)(81, 121, 83, 123, 93, 133, 109, 149, 104, 144, 88, 128, 98, 138, 114, 154, 102, 142, 86, 126)(82, 122, 89, 129, 105, 145, 111, 151, 95, 135, 85, 125, 100, 140, 116, 156, 107, 147, 91, 131)(84, 124, 94, 134, 110, 150, 103, 143, 87, 127, 96, 136, 112, 152, 119, 159, 115, 155, 99, 139)(90, 130, 106, 146, 118, 158, 108, 148, 92, 132, 101, 141, 117, 157, 120, 160, 113, 153, 97, 137)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 101)(6, 99)(7, 81)(8, 96)(9, 106)(10, 100)(11, 97)(12, 82)(13, 110)(14, 114)(15, 92)(16, 83)(17, 85)(18, 112)(19, 88)(20, 117)(21, 89)(22, 115)(23, 86)(24, 87)(25, 118)(26, 116)(27, 113)(28, 91)(29, 103)(30, 102)(31, 108)(32, 93)(33, 95)(34, 119)(35, 104)(36, 120)(37, 105)(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) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.642
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, (Y3^-1, Y2), Y1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y1 * Y2 * Y3^2 * Y1, Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y3^-2 * Y2^4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 24, 64, 15, 55)(4, 44, 17, 57, 23, 63, 12, 52)(6, 46, 9, 49, 18, 58, 20, 60)(7, 47, 21, 61, 14, 54, 10, 50)(13, 53, 28, 68, 34, 74, 31, 71)(16, 56, 33, 73, 30, 70, 27, 67)(19, 59, 35, 75, 36, 76, 26, 66)(22, 62, 25, 65, 29, 69, 37, 77)(32, 72, 40, 80, 39, 79, 38, 78)(81, 121, 83, 123, 93, 133, 109, 149, 98, 138, 88, 128, 104, 144, 114, 154, 102, 142, 86, 126)(82, 122, 89, 129, 105, 145, 111, 151, 95, 135, 85, 125, 100, 140, 117, 157, 108, 148, 91, 131)(84, 124, 94, 134, 110, 150, 119, 159, 116, 156, 103, 143, 87, 127, 96, 136, 112, 152, 99, 139)(90, 130, 97, 137, 115, 155, 120, 160, 113, 153, 101, 141, 92, 132, 106, 146, 118, 158, 107, 147)
	L = (1, 84)(2, 90)(3, 94)(4, 98)(5, 101)(6, 99)(7, 81)(8, 103)(9, 97)(10, 95)(11, 107)(12, 82)(13, 110)(14, 88)(15, 113)(16, 83)(17, 85)(18, 116)(19, 109)(20, 92)(21, 91)(22, 112)(23, 86)(24, 87)(25, 115)(26, 89)(27, 111)(28, 118)(29, 119)(30, 104)(31, 120)(32, 93)(33, 108)(34, 96)(35, 100)(36, 102)(37, 106)(38, 105)(39, 114)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.644
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y3^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, Y1^4, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1 * Y3 * Y2^-5 * Y1, Y1 * Y3 * Y2^4 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 11, 51, 18, 58, 8, 48)(4, 44, 14, 54, 19, 59, 9, 49)(6, 46, 16, 56, 20, 60, 10, 50)(12, 52, 21, 61, 33, 73, 25, 65)(13, 53, 22, 62, 34, 74, 26, 66)(15, 55, 23, 63, 35, 75, 29, 69)(17, 57, 24, 64, 36, 76, 31, 71)(27, 67, 39, 79, 30, 70, 37, 77)(28, 68, 40, 80, 32, 72, 38, 78)(81, 121, 83, 123, 92, 132, 107, 147, 115, 155, 99, 139, 114, 154, 112, 152, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 117, 157, 109, 149, 94, 134, 106, 146, 120, 160, 104, 144, 90, 130)(84, 124, 93, 133, 108, 148, 116, 156, 100, 140, 87, 127, 98, 138, 113, 153, 110, 150, 95, 135)(85, 125, 91, 131, 105, 145, 119, 159, 103, 143, 89, 129, 102, 142, 118, 158, 111, 151, 96, 136)
	L = (1, 84)(2, 89)(3, 93)(4, 81)(5, 94)(6, 95)(7, 99)(8, 102)(9, 82)(10, 103)(11, 106)(12, 108)(13, 83)(14, 85)(15, 86)(16, 109)(17, 110)(18, 114)(19, 87)(20, 115)(21, 118)(22, 88)(23, 90)(24, 119)(25, 120)(26, 91)(27, 116)(28, 92)(29, 96)(30, 97)(31, 117)(32, 113)(33, 112)(34, 98)(35, 100)(36, 107)(37, 111)(38, 101)(39, 104)(40, 105)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.635
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.629 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y3^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, (Y1^-1 * Y2^-1)^2, Y3 * Y2^5 * Y1^-2, Y2^2 * Y1^-1 * Y2^-1 * Y3 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 11, 51, 18, 58, 10, 50)(4, 44, 14, 54, 19, 59, 9, 49)(6, 46, 16, 56, 20, 60, 8, 48)(12, 52, 24, 64, 33, 73, 26, 66)(13, 53, 23, 63, 34, 74, 25, 65)(15, 55, 22, 62, 35, 75, 29, 69)(17, 57, 21, 61, 36, 76, 31, 71)(27, 67, 38, 78, 30, 70, 40, 80)(28, 68, 37, 77, 32, 72, 39, 79)(81, 121, 83, 123, 92, 132, 107, 147, 115, 155, 99, 139, 114, 154, 112, 152, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 117, 157, 105, 145, 94, 134, 109, 149, 120, 160, 104, 144, 90, 130)(84, 124, 93, 133, 108, 148, 116, 156, 100, 140, 87, 127, 98, 138, 113, 153, 110, 150, 95, 135)(85, 125, 96, 136, 111, 151, 119, 159, 103, 143, 89, 129, 102, 142, 118, 158, 106, 146, 91, 131)
	L = (1, 84)(2, 89)(3, 93)(4, 81)(5, 94)(6, 95)(7, 99)(8, 102)(9, 82)(10, 103)(11, 105)(12, 108)(13, 83)(14, 85)(15, 86)(16, 109)(17, 110)(18, 114)(19, 87)(20, 115)(21, 118)(22, 88)(23, 90)(24, 119)(25, 91)(26, 117)(27, 116)(28, 92)(29, 96)(30, 97)(31, 120)(32, 113)(33, 112)(34, 98)(35, 100)(36, 107)(37, 106)(38, 101)(39, 104)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.637
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.630 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^10, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 4, 44)(3, 43, 9, 49, 13, 53, 7, 47)(5, 45, 11, 51, 14, 54, 8, 48)(10, 50, 15, 55, 21, 61, 17, 57)(12, 52, 16, 56, 22, 62, 19, 59)(18, 58, 25, 65, 29, 69, 23, 63)(20, 60, 27, 67, 30, 70, 24, 64)(26, 66, 31, 71, 36, 76, 33, 73)(28, 68, 32, 72, 37, 77, 35, 75)(34, 74, 39, 79, 40, 80, 38, 78)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 87, 127, 95, 135, 103, 143, 111, 151, 118, 158, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131)(86, 126, 93, 133, 101, 141, 109, 149, 116, 156, 120, 160, 117, 157, 110, 150, 102, 142, 94, 134)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 84)(7, 83)(8, 85)(9, 93)(10, 95)(11, 94)(12, 96)(13, 87)(14, 88)(15, 101)(16, 102)(17, 90)(18, 105)(19, 92)(20, 107)(21, 97)(22, 99)(23, 98)(24, 100)(25, 109)(26, 111)(27, 110)(28, 112)(29, 103)(30, 104)(31, 116)(32, 117)(33, 106)(34, 119)(35, 108)(36, 113)(37, 115)(38, 114)(39, 120)(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, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.634
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.631 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y1 * Y2 * Y3 * Y1, Y3^-1 * Y1^-2 * Y2^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y1^4, Y3^-1 * Y1^2 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, Y2^10, Y3^6 * Y2^-4, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 10, 50, 7, 47, 11, 51)(4, 44, 9, 49, 6, 46, 12, 52)(13, 53, 19, 59, 14, 54, 20, 60)(15, 55, 17, 57, 16, 56, 18, 58)(21, 61, 27, 67, 22, 62, 28, 68)(23, 63, 25, 65, 24, 64, 26, 66)(29, 69, 35, 75, 30, 70, 36, 76)(31, 71, 33, 73, 32, 72, 34, 74)(37, 77, 40, 80, 38, 78, 39, 79)(81, 121, 83, 123, 93, 133, 101, 141, 109, 149, 117, 157, 111, 151, 104, 144, 95, 135, 86, 126)(82, 122, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 115, 155, 108, 148, 99, 139, 91, 131)(84, 124, 88, 128, 87, 127, 94, 134, 102, 142, 110, 150, 118, 158, 112, 152, 103, 143, 96, 136)(85, 125, 92, 132, 98, 138, 106, 146, 114, 154, 120, 160, 116, 156, 107, 147, 100, 140, 90, 130)
	L = (1, 84)(2, 90)(3, 88)(4, 95)(5, 91)(6, 96)(7, 81)(8, 86)(9, 85)(10, 99)(11, 100)(12, 82)(13, 87)(14, 83)(15, 103)(16, 104)(17, 92)(18, 89)(19, 107)(20, 108)(21, 94)(22, 93)(23, 111)(24, 112)(25, 98)(26, 97)(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, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.640
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.632 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y1^4, (Y2, Y3^-1), (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1^-1)^2, (Y1^-1 * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3^-4 * Y2, Y3^2 * Y2^4, Y3^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-2 * Y1^-1, Y3^3 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 25, 65, 11, 51)(4, 44, 17, 57, 26, 66, 12, 52)(6, 46, 20, 60, 27, 67, 9, 49)(7, 47, 21, 61, 28, 68, 10, 50)(14, 54, 34, 74, 19, 59, 31, 71)(15, 55, 35, 75, 24, 64, 32, 72)(16, 56, 33, 73, 22, 62, 29, 69)(18, 58, 36, 76, 23, 63, 30, 70)(37, 77, 40, 80, 38, 78, 39, 79)(81, 121, 83, 123, 94, 134, 106, 146, 104, 144, 118, 158, 98, 138, 108, 148, 102, 142, 86, 126)(82, 122, 89, 129, 109, 149, 101, 141, 116, 156, 120, 160, 112, 152, 97, 137, 114, 154, 91, 131)(84, 124, 95, 135, 117, 157, 103, 143, 87, 127, 96, 136, 107, 147, 88, 128, 105, 145, 99, 139)(85, 125, 100, 140, 113, 153, 90, 130, 110, 150, 119, 159, 115, 155, 92, 132, 111, 151, 93, 133)
	L = (1, 84)(2, 90)(3, 95)(4, 98)(5, 101)(6, 99)(7, 81)(8, 106)(9, 110)(10, 112)(11, 113)(12, 82)(13, 109)(14, 117)(15, 108)(16, 83)(17, 85)(18, 107)(19, 118)(20, 116)(21, 115)(22, 105)(23, 86)(24, 87)(25, 104)(26, 103)(27, 94)(28, 88)(29, 119)(30, 97)(31, 89)(32, 93)(33, 120)(34, 100)(35, 91)(36, 92)(37, 102)(38, 96)(39, 114)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.639
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.633 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y1^4, (R * Y1)^2, (Y2, Y3^-1), (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y3^-3 * Y1^-2, Y2 * Y3 * Y2 * Y3^3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y3^-2 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3 * Y2^2 * Y1^-2, Y2^-1 * Y1^2 * Y2 * Y1^-2, Y2^3 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 13, 53, 25, 65, 11, 51)(4, 44, 17, 57, 26, 66, 12, 52)(6, 46, 20, 60, 27, 67, 9, 49)(7, 47, 21, 61, 28, 68, 10, 50)(14, 54, 34, 74, 23, 63, 30, 70)(15, 55, 35, 75, 22, 62, 29, 69)(16, 56, 33, 73, 18, 58, 36, 76)(19, 59, 31, 71, 24, 64, 32, 72)(37, 77, 40, 80, 38, 78, 39, 79)(81, 121, 83, 123, 94, 134, 108, 148, 98, 138, 118, 158, 104, 144, 106, 146, 102, 142, 86, 126)(82, 122, 89, 129, 109, 149, 97, 137, 112, 152, 120, 160, 116, 156, 101, 141, 114, 154, 91, 131)(84, 124, 95, 135, 107, 147, 88, 128, 105, 145, 103, 143, 87, 127, 96, 136, 117, 157, 99, 139)(85, 125, 100, 140, 115, 155, 92, 132, 111, 151, 119, 159, 113, 153, 90, 130, 110, 150, 93, 133)
	L = (1, 84)(2, 90)(3, 95)(4, 98)(5, 101)(6, 99)(7, 81)(8, 106)(9, 110)(10, 112)(11, 113)(12, 82)(13, 116)(14, 107)(15, 118)(16, 83)(17, 85)(18, 105)(19, 108)(20, 114)(21, 111)(22, 117)(23, 86)(24, 87)(25, 102)(26, 96)(27, 104)(28, 88)(29, 93)(30, 120)(31, 89)(32, 100)(33, 97)(34, 119)(35, 91)(36, 92)(37, 94)(38, 103)(39, 109)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20, 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.641
Graph:: bipartite
	v = 14 e = 80 f = 24
	degree seq :: [ 8^10, 20^4 ]

E22.634 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y2 * Y3^-2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 30, 70, 22, 62, 14, 54, 5, 45)(3, 43, 8, 48, 16, 56, 24, 64, 32, 72, 38, 78, 35, 75, 27, 67, 19, 59, 11, 51)(4, 44, 10, 50, 17, 57, 26, 66, 33, 73, 40, 80, 36, 76, 28, 68, 20, 60, 12, 52)(6, 46, 9, 49, 18, 58, 25, 65, 34, 74, 39, 79, 37, 77, 29, 69, 21, 61, 13, 53)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 86, 126)(85, 125, 91, 131)(87, 127, 96, 136)(89, 129, 90, 130)(92, 132, 93, 133)(94, 134, 99, 139)(95, 135, 104, 144)(97, 137, 98, 138)(100, 140, 101, 141)(102, 142, 107, 147)(103, 143, 112, 152)(105, 145, 106, 146)(108, 148, 109, 149)(110, 150, 115, 155)(111, 151, 118, 158)(113, 153, 114, 154)(116, 156, 117, 157)(119, 159, 120, 160)
	L = (1, 84)(2, 89)(3, 86)(4, 83)(5, 93)(6, 81)(7, 97)(8, 90)(9, 88)(10, 82)(11, 92)(12, 85)(13, 91)(14, 100)(15, 105)(16, 98)(17, 96)(18, 87)(19, 101)(20, 99)(21, 94)(22, 109)(23, 113)(24, 106)(25, 104)(26, 95)(27, 108)(28, 102)(29, 107)(30, 116)(31, 119)(32, 114)(33, 112)(34, 103)(35, 117)(36, 115)(37, 110)(38, 120)(39, 118)(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) :: { ( 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 E22.630
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.635 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ 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, (Y3 * Y2)^4, Y1 * Y2 * Y1^4 * Y3 * Y2 * Y3, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 33, 73, 40, 80, 25, 65, 13, 53, 5, 45)(3, 43, 7, 47, 15, 55, 27, 67, 37, 77, 22, 62, 32, 72, 36, 76, 21, 61, 10, 50)(4, 44, 8, 48, 16, 56, 28, 68, 34, 74, 19, 59, 31, 71, 39, 79, 24, 64, 12, 52)(9, 49, 17, 57, 29, 69, 38, 78, 23, 63, 11, 51, 18, 58, 30, 70, 35, 75, 20, 60)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 91, 131)(85, 125, 90, 130)(86, 126, 95, 135)(88, 128, 98, 138)(89, 129, 99, 139)(92, 132, 103, 143)(93, 133, 101, 141)(94, 134, 107, 147)(96, 136, 110, 150)(97, 137, 111, 151)(100, 140, 114, 154)(102, 142, 113, 153)(104, 144, 118, 158)(105, 145, 116, 156)(106, 146, 117, 157)(108, 148, 115, 155)(109, 149, 119, 159)(112, 152, 120, 160)
	L = (1, 84)(2, 88)(3, 89)(4, 81)(5, 92)(6, 96)(7, 97)(8, 82)(9, 83)(10, 100)(11, 102)(12, 85)(13, 104)(14, 108)(15, 109)(16, 86)(17, 87)(18, 112)(19, 113)(20, 90)(21, 115)(22, 91)(23, 117)(24, 93)(25, 119)(26, 114)(27, 118)(28, 94)(29, 95)(30, 116)(31, 120)(32, 98)(33, 99)(34, 106)(35, 101)(36, 110)(37, 103)(38, 107)(39, 105)(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) :: { ( 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 E22.628
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.636 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3, Y2 * Y1^-2 * Y2 * Y1^2, (Y1 * Y2 * Y1^-1 * Y2)^2, Y1^-2 * Y2 * Y1^-3 * Y2 * Y3, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 16, 56, 32, 72, 24, 64, 39, 79, 31, 71, 15, 55, 5, 45)(3, 43, 9, 49, 17, 57, 35, 75, 28, 68, 12, 52, 20, 60, 37, 77, 27, 67, 11, 51)(4, 44, 8, 48, 18, 58, 34, 74, 26, 66, 40, 80, 23, 63, 38, 78, 29, 69, 13, 53)(7, 47, 19, 59, 33, 73, 25, 65, 10, 50, 22, 62, 36, 76, 30, 70, 14, 54, 21, 61)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 92, 132)(85, 125, 94, 134)(86, 126, 97, 137)(88, 128, 102, 142)(89, 129, 103, 143)(90, 130, 104, 144)(91, 131, 106, 146)(93, 133, 105, 145)(95, 135, 107, 147)(96, 136, 113, 153)(98, 138, 117, 157)(99, 139, 118, 158)(100, 140, 119, 159)(101, 141, 120, 160)(108, 148, 112, 152)(109, 149, 115, 155)(110, 150, 114, 154)(111, 151, 116, 156)
	L = (1, 84)(2, 88)(3, 90)(4, 81)(5, 93)(6, 98)(7, 100)(8, 82)(9, 102)(10, 83)(11, 105)(12, 101)(13, 85)(14, 108)(15, 109)(16, 114)(17, 116)(18, 86)(19, 117)(20, 87)(21, 92)(22, 89)(23, 119)(24, 120)(25, 91)(26, 112)(27, 113)(28, 94)(29, 95)(30, 115)(31, 118)(32, 106)(33, 107)(34, 96)(35, 110)(36, 97)(37, 99)(38, 111)(39, 103)(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) :: { ( 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 E22.623
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.637 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^4, Y1^3 * Y3 * Y1^2 * Y2 * Y3 * Y2, Y1^2 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 36, 76, 40, 80, 25, 65, 13, 53, 5, 45)(3, 43, 9, 49, 19, 59, 33, 73, 32, 72, 23, 63, 38, 78, 27, 67, 15, 55, 7, 47)(4, 44, 8, 48, 16, 56, 28, 68, 35, 75, 21, 61, 31, 71, 39, 79, 24, 64, 12, 52)(10, 50, 20, 60, 34, 74, 30, 70, 18, 58, 11, 51, 22, 62, 37, 77, 29, 69, 17, 57)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 91, 131)(85, 125, 89, 129)(86, 126, 95, 135)(88, 128, 98, 138)(90, 130, 101, 141)(92, 132, 102, 142)(93, 133, 99, 139)(94, 134, 107, 147)(96, 136, 110, 150)(97, 137, 111, 151)(100, 140, 115, 155)(103, 143, 116, 156)(104, 144, 117, 157)(105, 145, 113, 153)(106, 146, 118, 158)(108, 148, 114, 154)(109, 149, 119, 159)(112, 152, 120, 160)
	L = (1, 84)(2, 88)(3, 90)(4, 81)(5, 92)(6, 96)(7, 97)(8, 82)(9, 100)(10, 83)(11, 103)(12, 85)(13, 104)(14, 108)(15, 109)(16, 86)(17, 87)(18, 112)(19, 114)(20, 89)(21, 116)(22, 118)(23, 91)(24, 93)(25, 119)(26, 115)(27, 117)(28, 94)(29, 95)(30, 113)(31, 120)(32, 98)(33, 110)(34, 99)(35, 106)(36, 101)(37, 107)(38, 102)(39, 105)(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) :: { ( 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 E22.629
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, (Y3 * R)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1^-2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-2, (Y2 * R * Y2 * Y1^-1)^2, (Y1^-1 * Y2)^4, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 6, 46, 16, 56, 32, 72, 26, 66, 39, 79, 31, 71, 15, 55, 5, 45)(3, 43, 9, 49, 23, 63, 37, 77, 20, 60, 12, 52, 28, 68, 36, 76, 17, 57, 11, 51)(4, 44, 8, 48, 18, 58, 34, 74, 24, 64, 38, 78, 27, 67, 40, 80, 29, 69, 13, 53)(7, 47, 19, 59, 14, 54, 30, 70, 35, 75, 22, 62, 10, 50, 25, 65, 33, 73, 21, 61)(81, 121, 83, 123)(82, 122, 87, 127)(84, 124, 92, 132)(85, 125, 94, 134)(86, 126, 97, 137)(88, 128, 102, 142)(89, 129, 104, 144)(90, 130, 106, 146)(91, 131, 107, 147)(93, 133, 105, 145)(95, 135, 103, 143)(96, 136, 113, 153)(98, 138, 117, 157)(99, 139, 118, 158)(100, 140, 119, 159)(101, 141, 120, 160)(108, 148, 112, 152)(109, 149, 116, 156)(110, 150, 114, 154)(111, 151, 115, 155)
	L = (1, 84)(2, 88)(3, 90)(4, 81)(5, 93)(6, 98)(7, 100)(8, 82)(9, 105)(10, 83)(11, 102)(12, 99)(13, 85)(14, 108)(15, 109)(16, 114)(17, 115)(18, 86)(19, 92)(20, 87)(21, 117)(22, 91)(23, 113)(24, 112)(25, 89)(26, 118)(27, 119)(28, 94)(29, 95)(30, 116)(31, 120)(32, 104)(33, 103)(34, 96)(35, 97)(36, 110)(37, 101)(38, 106)(39, 107)(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) :: { ( 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 E22.624
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y3^3 * Y2 * Y3^-1, (Y3 * Y2)^4, Y1^-10, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 18, 58, 35, 75, 39, 79, 40, 80, 31, 71, 15, 55, 5, 45)(3, 43, 11, 51, 25, 65, 30, 70, 37, 77, 29, 69, 38, 78, 34, 74, 19, 59, 8, 48)(4, 44, 9, 49, 20, 60, 27, 67, 36, 76, 28, 68, 32, 72, 16, 56, 6, 46, 10, 50)(12, 52, 26, 66, 23, 63, 14, 54, 24, 64, 17, 57, 33, 73, 22, 62, 13, 53, 21, 61)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 94, 134)(85, 125, 91, 131)(86, 126, 97, 137)(87, 127, 99, 139)(89, 129, 103, 143)(90, 130, 104, 144)(92, 132, 107, 147)(93, 133, 108, 148)(95, 135, 105, 145)(96, 136, 113, 153)(98, 138, 114, 154)(100, 140, 106, 146)(101, 141, 116, 156)(102, 142, 112, 152)(109, 149, 119, 159)(110, 150, 111, 151)(115, 155, 118, 158)(117, 157, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 87)(5, 90)(6, 81)(7, 100)(8, 101)(9, 98)(10, 82)(11, 106)(12, 105)(13, 83)(14, 109)(15, 86)(16, 85)(17, 114)(18, 107)(19, 93)(20, 115)(21, 91)(22, 88)(23, 117)(24, 118)(25, 103)(26, 110)(27, 119)(28, 111)(29, 97)(30, 94)(31, 96)(32, 95)(33, 99)(34, 102)(35, 116)(36, 120)(37, 104)(38, 113)(39, 108)(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, 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 E22.632
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, R * Y2 * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y1 * Y3^2)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, 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^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 21, 61, 15, 55, 26, 66, 20, 60, 28, 68, 17, 57, 5, 45)(3, 43, 11, 51, 29, 69, 40, 80, 31, 71, 34, 74, 32, 72, 36, 76, 22, 62, 8, 48)(4, 44, 9, 49, 23, 63, 37, 77, 35, 75, 18, 58, 6, 46, 10, 50, 24, 64, 16, 56)(12, 52, 14, 54, 33, 73, 39, 79, 27, 67, 19, 59, 13, 53, 30, 70, 38, 78, 25, 65)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 94, 134)(85, 125, 91, 131)(86, 126, 99, 139)(87, 127, 102, 142)(89, 129, 92, 132)(90, 130, 107, 147)(93, 133, 98, 138)(95, 135, 112, 152)(96, 136, 113, 153)(97, 137, 109, 149)(100, 140, 111, 151)(101, 141, 116, 156)(103, 143, 105, 145)(104, 144, 119, 159)(106, 146, 114, 154)(108, 148, 120, 160)(110, 150, 115, 155)(117, 157, 118, 158)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 96)(6, 81)(7, 103)(8, 105)(9, 106)(10, 82)(11, 94)(12, 111)(13, 83)(14, 114)(15, 115)(16, 101)(17, 104)(18, 85)(19, 88)(20, 86)(21, 117)(22, 118)(23, 100)(24, 87)(25, 120)(26, 98)(27, 102)(28, 90)(29, 113)(30, 91)(31, 107)(32, 93)(33, 112)(34, 99)(35, 97)(36, 110)(37, 108)(38, 109)(39, 116)(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, 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 E22.631
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1^-1 * Y2 * Y3^-1 * Y2 * Y3, Y1 * Y3 * Y1 * Y3 * Y1^2, Y1^-1 * Y3^3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 21, 61, 20, 60, 28, 68, 15, 55, 27, 67, 17, 57, 5, 45)(3, 43, 11, 51, 29, 69, 40, 80, 32, 72, 33, 73, 31, 71, 36, 76, 22, 62, 8, 48)(4, 44, 9, 49, 23, 63, 18, 58, 6, 46, 10, 50, 24, 64, 37, 77, 34, 74, 16, 56)(12, 52, 30, 70, 38, 78, 25, 65, 13, 53, 19, 59, 35, 75, 39, 79, 26, 66, 14, 54)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 94, 134)(85, 125, 91, 131)(86, 126, 99, 139)(87, 127, 102, 142)(89, 129, 106, 146)(90, 130, 93, 133)(92, 132, 96, 136)(95, 135, 112, 152)(97, 137, 109, 149)(98, 138, 115, 155)(100, 140, 111, 151)(101, 141, 116, 156)(103, 143, 119, 159)(104, 144, 105, 145)(107, 147, 120, 160)(108, 148, 113, 153)(110, 150, 114, 154)(117, 157, 118, 158)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 96)(6, 81)(7, 103)(8, 94)(9, 107)(10, 82)(11, 110)(12, 111)(13, 83)(14, 113)(15, 104)(16, 108)(17, 114)(18, 85)(19, 91)(20, 86)(21, 98)(22, 106)(23, 97)(24, 87)(25, 88)(26, 112)(27, 117)(28, 90)(29, 118)(30, 116)(31, 115)(32, 93)(33, 99)(34, 100)(35, 109)(36, 119)(37, 101)(38, 102)(39, 120)(40, 105)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 20, 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.633
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2 * Y1^-2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2, (Y3^-2 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-10, Y3^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 16, 56, 25, 65, 33, 73, 31, 71, 23, 63, 14, 54, 5, 45)(3, 43, 11, 51, 21, 61, 29, 69, 37, 77, 40, 80, 34, 74, 28, 68, 17, 57, 13, 53)(4, 44, 9, 49, 18, 58, 27, 67, 35, 75, 32, 72, 24, 64, 15, 55, 6, 46, 10, 50)(8, 48, 19, 59, 12, 52, 22, 62, 30, 70, 38, 78, 39, 79, 36, 76, 26, 66, 20, 60)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 93, 133)(85, 125, 92, 132)(86, 126, 91, 131)(87, 127, 97, 137)(89, 129, 100, 140)(90, 130, 99, 139)(94, 134, 101, 141)(95, 135, 102, 142)(96, 136, 106, 146)(98, 138, 108, 148)(103, 143, 110, 150)(104, 144, 109, 149)(105, 145, 114, 154)(107, 147, 116, 156)(111, 151, 117, 157)(112, 152, 118, 158)(113, 153, 119, 159)(115, 155, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 87)(5, 90)(6, 81)(7, 98)(8, 83)(9, 96)(10, 82)(11, 102)(12, 101)(13, 99)(14, 86)(15, 85)(16, 107)(17, 88)(18, 105)(19, 91)(20, 93)(21, 110)(22, 109)(23, 95)(24, 94)(25, 115)(26, 97)(27, 113)(28, 100)(29, 118)(30, 117)(31, 104)(32, 103)(33, 112)(34, 106)(35, 111)(36, 108)(37, 119)(38, 120)(39, 114)(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, 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 E22.626
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, (Y1, Y3), (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1^-2, (Y3 * Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1^-3, Y1 * Y2 * Y3^3 * Y2, R * Y2 * Y1^-1 * Y3 * R * Y2, (Y1^-2 * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y3, (Y1^-1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 23, 63, 16, 56, 32, 72, 22, 62, 34, 74, 19, 59, 5, 45)(3, 43, 11, 51, 30, 70, 15, 55, 36, 76, 40, 80, 28, 68, 21, 61, 24, 64, 13, 53)(4, 44, 9, 49, 25, 65, 38, 78, 37, 77, 20, 60, 6, 46, 10, 50, 26, 66, 17, 57)(8, 48, 27, 67, 18, 58, 31, 71, 14, 54, 35, 75, 39, 79, 33, 73, 12, 52, 29, 69)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 95, 135)(85, 125, 98, 138)(86, 126, 101, 141)(87, 127, 104, 144)(89, 129, 111, 151)(90, 130, 113, 153)(91, 131, 105, 145)(92, 132, 103, 143)(93, 133, 117, 157)(94, 134, 114, 154)(96, 136, 108, 148)(97, 137, 115, 155)(99, 139, 110, 150)(100, 140, 109, 149)(102, 142, 116, 156)(106, 146, 120, 160)(107, 147, 118, 158)(112, 152, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 97)(6, 81)(7, 105)(8, 108)(9, 112)(10, 82)(11, 109)(12, 116)(13, 113)(14, 83)(15, 107)(16, 117)(17, 103)(18, 104)(19, 106)(20, 85)(21, 115)(22, 86)(23, 118)(24, 119)(25, 102)(26, 87)(27, 101)(28, 94)(29, 120)(30, 88)(31, 93)(32, 100)(33, 95)(34, 90)(35, 91)(36, 98)(37, 99)(38, 114)(39, 110)(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) :: { ( 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 E22.625
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^3 * Y1^-1 * Y3, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 23, 63, 22, 62, 34, 74, 16, 56, 32, 72, 19, 59, 5, 45)(3, 43, 11, 51, 28, 68, 21, 61, 37, 77, 40, 80, 30, 70, 15, 55, 24, 64, 13, 53)(4, 44, 9, 49, 25, 65, 20, 60, 6, 46, 10, 50, 26, 66, 38, 78, 36, 76, 17, 57)(8, 48, 27, 67, 18, 58, 33, 73, 12, 52, 35, 75, 39, 79, 31, 71, 14, 54, 29, 69)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 95, 135)(85, 125, 98, 138)(86, 126, 101, 141)(87, 127, 104, 144)(89, 129, 111, 151)(90, 130, 113, 153)(91, 131, 106, 146)(92, 132, 112, 152)(93, 133, 116, 156)(94, 134, 103, 143)(96, 136, 117, 157)(97, 137, 109, 149)(99, 139, 108, 148)(100, 140, 115, 155)(102, 142, 110, 150)(105, 145, 120, 160)(107, 147, 118, 158)(114, 154, 119, 159)
	L = (1, 84)(2, 89)(3, 92)(4, 96)(5, 97)(6, 81)(7, 105)(8, 108)(9, 112)(10, 82)(11, 115)(12, 110)(13, 113)(14, 83)(15, 107)(16, 106)(17, 114)(18, 117)(19, 116)(20, 85)(21, 111)(22, 86)(23, 100)(24, 98)(25, 99)(26, 87)(27, 101)(28, 119)(29, 91)(30, 88)(31, 93)(32, 118)(33, 120)(34, 90)(35, 95)(36, 102)(37, 94)(38, 103)(39, 104)(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) :: { ( 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 E22.627
Graph:: simple bipartite
	v = 24 e = 80 f = 14
	degree seq :: [ 4^20, 20^4 ]

E22.645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y1^-2 * Y3^-2, Y3^2 * Y2^-2, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y2^-2 * Y1^-1, (Y1^-1, Y2), (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-2, (Y3^-1 * Y1^-1)^4, Y3^2 * Y2^8, Y2^-2 * Y1^8 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 22, 62, 36, 76, 40, 80, 39, 79, 31, 71, 13, 53, 5, 45)(3, 43, 9, 49, 6, 46, 11, 51, 23, 63, 34, 74, 38, 78, 35, 75, 29, 69, 15, 55)(4, 44, 17, 57, 7, 47, 21, 61, 24, 64, 25, 65, 37, 77, 26, 66, 30, 70, 18, 58)(10, 50, 27, 67, 12, 52, 14, 54, 32, 72, 16, 56, 33, 73, 20, 60, 19, 59, 28, 68)(81, 121, 83, 123, 93, 133, 109, 149, 119, 159, 118, 158, 116, 156, 103, 143, 88, 128, 86, 126)(82, 122, 89, 129, 85, 125, 95, 135, 111, 151, 115, 155, 120, 160, 114, 154, 102, 142, 91, 131)(84, 124, 94, 134, 110, 150, 107, 147, 117, 157, 108, 148, 104, 144, 100, 140, 87, 127, 96, 136)(90, 130, 105, 145, 99, 139, 101, 141, 113, 153, 97, 137, 112, 152, 98, 138, 92, 132, 106, 146)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 99)(6, 96)(7, 81)(8, 87)(9, 105)(10, 85)(11, 106)(12, 82)(13, 110)(14, 109)(15, 101)(16, 83)(17, 114)(18, 91)(19, 111)(20, 86)(21, 115)(22, 92)(23, 100)(24, 88)(25, 95)(26, 89)(27, 118)(28, 103)(29, 107)(30, 119)(31, 113)(32, 102)(33, 120)(34, 98)(35, 97)(36, 104)(37, 116)(38, 108)(39, 117)(40, 112)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.622
Graph:: bipartite
	v = 8 e = 80 f = 30
	degree seq :: [ 20^8 ]

E22.646 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y1^3, Y2^3, Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, Y2 * R^-1 * Y1 * R, (Y2 * Y1^-1)^3, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 10, 52, 12, 54)(4, 46, 8, 50, 13, 55)(6, 48, 17, 59, 18, 60)(7, 49, 19, 61, 21, 63)(9, 51, 23, 65, 24, 66)(11, 53, 25, 67, 27, 69)(14, 56, 31, 73, 32, 74)(15, 57, 28, 70, 33, 75)(16, 58, 26, 68, 34, 76)(20, 62, 35, 77, 36, 78)(22, 64, 37, 79, 38, 80)(29, 71, 40, 82, 41, 83)(30, 72, 39, 81, 42, 84)(85, 127, 87, 129, 90, 132)(86, 128, 91, 133, 93, 135)(88, 130, 95, 137, 98, 140)(89, 131, 99, 141, 100, 142)(92, 134, 104, 146, 106, 148)(94, 136, 105, 147, 110, 152)(96, 138, 107, 149, 112, 154)(97, 139, 113, 155, 114, 156)(101, 143, 103, 145, 117, 159)(102, 144, 118, 160, 108, 150)(109, 151, 120, 162, 123, 165)(111, 153, 121, 163, 124, 166)(115, 157, 119, 161, 125, 167)(116, 158, 126, 168, 122, 164)
	L = (1, 88)(2, 92)(3, 95)(4, 85)(5, 97)(6, 98)(7, 104)(8, 86)(9, 106)(10, 109)(11, 87)(12, 111)(13, 89)(14, 90)(15, 113)(16, 114)(17, 115)(18, 116)(19, 119)(20, 91)(21, 120)(22, 93)(23, 121)(24, 122)(25, 94)(26, 123)(27, 96)(28, 124)(29, 99)(30, 100)(31, 101)(32, 102)(33, 125)(34, 126)(35, 103)(36, 105)(37, 107)(38, 108)(39, 110)(40, 112)(41, 117)(42, 118)(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) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E22.648
Transitivity :: VT
Graph:: simple bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 6^28 ]

E22.647 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 12
Presentation :: [ Y1^3, Y2^3, R^2 * Y3^-1, Y2 * Y3 * Y1 * Y3^-1, Y2 * R^-1 * Y1 * R, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-2, Y2^-1 * Y3^-1 * Y1 * Y3 * Y1, Y2 * Y1^-1 * R * Y1^-1 * R^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1, Y3^6, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 12, 54, 14, 56)(4, 46, 16, 58, 13, 55)(6, 48, 24, 66, 25, 67)(7, 49, 27, 69, 28, 70)(8, 50, 29, 71, 30, 72)(9, 51, 17, 59, 15, 57)(10, 52, 33, 75, 34, 76)(11, 53, 35, 77, 19, 61)(18, 60, 22, 64, 37, 79)(20, 62, 36, 78, 42, 84)(21, 63, 32, 74, 31, 73)(23, 65, 39, 81, 26, 68)(38, 80, 41, 83, 40, 82)(85, 127, 87, 129, 90, 132)(86, 128, 92, 134, 94, 136)(88, 130, 101, 143, 103, 145)(89, 131, 104, 146, 106, 148)(91, 133, 107, 149, 95, 137)(93, 135, 116, 158, 110, 152)(96, 138, 114, 156, 121, 163)(97, 139, 123, 165, 124, 166)(98, 140, 117, 159, 120, 162)(99, 141, 111, 153, 122, 164)(100, 142, 112, 154, 105, 147)(102, 144, 118, 160, 109, 151)(108, 150, 113, 155, 126, 168)(115, 157, 119, 161, 125, 167)
	L = (1, 88)(2, 93)(3, 97)(4, 102)(5, 105)(6, 100)(7, 85)(8, 99)(9, 109)(10, 101)(11, 86)(12, 107)(13, 104)(14, 103)(15, 87)(16, 117)(17, 121)(18, 125)(19, 106)(20, 115)(21, 118)(22, 116)(23, 89)(24, 111)(25, 124)(26, 90)(27, 98)(28, 94)(29, 91)(30, 110)(31, 92)(32, 108)(33, 119)(34, 122)(35, 114)(36, 95)(37, 123)(38, 96)(39, 126)(40, 120)(41, 113)(42, 112)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E22.649
Transitivity :: VT
Graph:: simple bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 6^28 ]

E22.648 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 4
Presentation :: [ Y3^2, R^2 * Y3, Y1^-3 * Y3, Y2^-3 * Y3, Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y2^-1, Y2 * R^-1 * Y1 * R, (Y2 * Y1^-1)^3, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 4, 46, 9, 51, 5, 47)(3, 45, 11, 53, 27, 69, 13, 55, 29, 71, 14, 56)(6, 48, 17, 59, 31, 73, 12, 54, 30, 72, 18, 60)(8, 50, 21, 63, 39, 81, 23, 65, 40, 82, 24, 66)(10, 52, 25, 67, 42, 84, 22, 64, 41, 83, 26, 68)(15, 57, 28, 70, 36, 78, 19, 61, 35, 77, 33, 75)(16, 58, 34, 76, 38, 80, 20, 62, 37, 79, 32, 74)(85, 127, 87, 129, 96, 138, 88, 130, 97, 139, 90, 132)(86, 128, 92, 134, 106, 148, 93, 135, 107, 149, 94, 136)(89, 131, 99, 141, 104, 146, 91, 133, 103, 145, 100, 142)(95, 137, 112, 154, 124, 166, 113, 155, 119, 161, 105, 147)(98, 140, 109, 151, 122, 164, 111, 153, 125, 167, 116, 158)(101, 143, 110, 152, 120, 162, 114, 156, 126, 168, 117, 159)(102, 144, 108, 150, 121, 163, 115, 157, 123, 165, 118, 160)
	L = (1, 88)(2, 93)(3, 97)(4, 85)(5, 91)(6, 96)(7, 89)(8, 107)(9, 86)(10, 106)(11, 113)(12, 90)(13, 87)(14, 111)(15, 103)(16, 104)(17, 114)(18, 115)(19, 99)(20, 100)(21, 124)(22, 94)(23, 92)(24, 123)(25, 125)(26, 126)(27, 98)(28, 119)(29, 95)(30, 101)(31, 102)(32, 122)(33, 120)(34, 121)(35, 112)(36, 117)(37, 118)(38, 116)(39, 108)(40, 105)(41, 109)(42, 110)(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) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E22.646
Transitivity :: VT
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.649 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 12
Presentation :: [ R^2 * Y3^-1, Y2^-1 * Y1^-1 * Y2 * Y3, Y2 * R^-1 * Y1 * R, Y3 * Y1 * Y3^-1 * Y2, Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^3 * Y1^-3, Y2^-1 * Y3^2 * Y2 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y3^2 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2^3 * Y1^3, Y1^6, Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2^3 * Y1^-3, Y3^2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 43, 2, 44, 8, 50, 28, 70, 21, 63, 5, 47)(3, 45, 13, 55, 36, 78, 24, 66, 30, 72, 15, 57)(4, 46, 17, 59, 39, 81, 27, 69, 34, 76, 9, 51)(6, 48, 20, 62, 37, 79, 14, 56, 41, 83, 12, 54)(7, 49, 22, 64, 40, 82, 19, 61, 31, 73, 26, 68)(10, 52, 35, 77, 16, 58, 42, 84, 18, 60, 29, 71)(11, 53, 38, 80, 23, 65, 33, 75, 25, 67, 32, 74)(85, 127, 87, 129, 98, 140, 112, 154, 108, 150, 90, 132)(86, 128, 93, 135, 117, 159, 105, 147, 123, 165, 95, 137)(88, 130, 102, 144, 125, 167, 111, 153, 119, 161, 104, 146)(89, 131, 100, 142, 115, 157, 92, 134, 113, 155, 106, 148)(91, 133, 107, 149, 121, 163, 103, 145, 116, 158, 96, 138)(94, 136, 120, 162, 109, 151, 126, 168, 99, 141, 122, 164)(97, 139, 118, 160, 110, 152, 114, 156, 101, 143, 124, 166)
	L = (1, 88)(2, 94)(3, 93)(4, 103)(5, 97)(6, 101)(7, 85)(8, 114)(9, 113)(10, 121)(11, 119)(12, 86)(13, 116)(14, 118)(15, 125)(16, 87)(17, 122)(18, 124)(19, 112)(20, 115)(21, 126)(22, 120)(23, 89)(24, 123)(25, 90)(26, 117)(27, 91)(28, 111)(29, 108)(30, 107)(31, 99)(32, 92)(33, 102)(34, 109)(35, 110)(36, 104)(37, 105)(38, 98)(39, 100)(40, 95)(41, 106)(42, 96)(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) :: { ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E22.647
Transitivity :: VT
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.650 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^2 * Y3^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y2^6, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 6, 48, 15, 57, 11, 53, 5, 47)(2, 44, 7, 49, 14, 56, 12, 54, 4, 46, 8, 50)(9, 51, 19, 61, 13, 55, 21, 63, 10, 52, 20, 62)(16, 58, 22, 64, 18, 60, 24, 66, 17, 59, 23, 65)(25, 67, 31, 73, 27, 69, 33, 75, 26, 68, 32, 74)(28, 70, 34, 76, 30, 72, 36, 78, 29, 71, 35, 77)(37, 79, 40, 82, 39, 81, 42, 84, 38, 80, 41, 83)(85, 86, 90, 98, 95, 88)(87, 93, 99, 97, 89, 94)(91, 100, 96, 102, 92, 101)(103, 109, 105, 111, 104, 110)(106, 112, 108, 114, 107, 113)(115, 121, 117, 123, 116, 122)(118, 124, 120, 126, 119, 125)(127, 128, 132, 140, 137, 130)(129, 135, 141, 139, 131, 136)(133, 142, 138, 144, 134, 143)(145, 151, 147, 153, 146, 152)(148, 154, 150, 156, 149, 155)(157, 163, 159, 165, 158, 164)(160, 166, 162, 168, 161, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E22.653
Graph:: bipartite
	v = 21 e = 84 f = 21
	degree seq :: [ 6^14, 12^7 ]

E22.651 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y2 * Y1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^6, Y2^6, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 43, 3, 45)(2, 44, 6, 48)(4, 46, 9, 51)(5, 47, 12, 54)(7, 49, 15, 57)(8, 50, 16, 58)(10, 52, 17, 59)(11, 53, 19, 61)(13, 55, 21, 63)(14, 56, 22, 64)(18, 60, 26, 68)(20, 62, 27, 69)(23, 65, 31, 73)(24, 66, 32, 74)(25, 67, 33, 75)(28, 70, 34, 76)(29, 71, 35, 77)(30, 72, 36, 78)(37, 79, 42, 84)(38, 80, 40, 82)(39, 81, 41, 83)(85, 86, 89, 95, 94, 88)(87, 91, 96, 104, 101, 92)(90, 97, 103, 102, 93, 98)(99, 107, 111, 109, 100, 108)(105, 112, 110, 114, 106, 113)(115, 121, 117, 123, 116, 122)(118, 124, 120, 126, 119, 125)(127, 128, 131, 137, 136, 130)(129, 133, 138, 146, 143, 134)(132, 139, 145, 144, 135, 140)(141, 149, 153, 151, 142, 150)(147, 154, 152, 156, 148, 155)(157, 163, 159, 165, 158, 164)(160, 166, 162, 168, 161, 167)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.652
Graph:: simple bipartite
	v = 35 e = 84 f = 7
	degree seq :: [ 4^21, 6^14 ]

E22.652 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y1^2 * Y3^-2, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y2^6, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 3, 45, 87, 129, 6, 48, 90, 132, 15, 57, 99, 141, 11, 53, 95, 137, 5, 47, 89, 131)(2, 44, 86, 128, 7, 49, 91, 133, 14, 56, 98, 140, 12, 54, 96, 138, 4, 46, 88, 130, 8, 50, 92, 134)(9, 51, 93, 135, 19, 61, 103, 145, 13, 55, 97, 139, 21, 63, 105, 147, 10, 52, 94, 136, 20, 62, 104, 146)(16, 58, 100, 142, 22, 64, 106, 148, 18, 60, 102, 144, 24, 66, 108, 150, 17, 59, 101, 143, 23, 65, 107, 149)(25, 67, 109, 151, 31, 73, 115, 157, 27, 69, 111, 153, 33, 75, 117, 159, 26, 68, 110, 152, 32, 74, 116, 158)(28, 70, 112, 154, 34, 76, 118, 160, 30, 72, 114, 156, 36, 78, 120, 162, 29, 71, 113, 155, 35, 77, 119, 161)(37, 79, 121, 163, 40, 82, 124, 166, 39, 81, 123, 165, 42, 84, 126, 168, 38, 80, 122, 164, 41, 83, 125, 167)
	L = (1, 44)(2, 48)(3, 51)(4, 43)(5, 52)(6, 56)(7, 58)(8, 59)(9, 57)(10, 45)(11, 46)(12, 60)(13, 47)(14, 53)(15, 55)(16, 54)(17, 49)(18, 50)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 63)(26, 61)(27, 62)(28, 66)(29, 64)(30, 65)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 75)(38, 73)(39, 74)(40, 78)(41, 76)(42, 77)(85, 128)(86, 132)(87, 135)(88, 127)(89, 136)(90, 140)(91, 142)(92, 143)(93, 141)(94, 129)(95, 130)(96, 144)(97, 131)(98, 137)(99, 139)(100, 138)(101, 133)(102, 134)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 147)(110, 145)(111, 146)(112, 150)(113, 148)(114, 149)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 159)(122, 157)(123, 158)(124, 162)(125, 160)(126, 161)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.651
Transitivity :: VT+
Graph::
	v = 7 e = 84 f = 35
	degree seq :: [ 24^7 ]

E22.653 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y2 * Y1)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1^6, Y2^6, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1, (Y1^-1 * Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 3, 45, 87, 129)(2, 44, 86, 128, 6, 48, 90, 132)(4, 46, 88, 130, 9, 51, 93, 135)(5, 47, 89, 131, 12, 54, 96, 138)(7, 49, 91, 133, 15, 57, 99, 141)(8, 50, 92, 134, 16, 58, 100, 142)(10, 52, 94, 136, 17, 59, 101, 143)(11, 53, 95, 137, 19, 61, 103, 145)(13, 55, 97, 139, 21, 63, 105, 147)(14, 56, 98, 140, 22, 64, 106, 148)(18, 60, 102, 144, 26, 68, 110, 152)(20, 62, 104, 146, 27, 69, 111, 153)(23, 65, 107, 149, 31, 73, 115, 157)(24, 66, 108, 150, 32, 74, 116, 158)(25, 67, 109, 151, 33, 75, 117, 159)(28, 70, 112, 154, 34, 76, 118, 160)(29, 71, 113, 155, 35, 77, 119, 161)(30, 72, 114, 156, 36, 78, 120, 162)(37, 79, 121, 163, 42, 84, 126, 168)(38, 80, 122, 164, 40, 82, 124, 166)(39, 81, 123, 165, 41, 83, 125, 167)
	L = (1, 44)(2, 47)(3, 49)(4, 43)(5, 53)(6, 55)(7, 54)(8, 45)(9, 56)(10, 46)(11, 52)(12, 62)(13, 61)(14, 48)(15, 65)(16, 66)(17, 50)(18, 51)(19, 60)(20, 59)(21, 70)(22, 71)(23, 69)(24, 57)(25, 58)(26, 72)(27, 67)(28, 68)(29, 63)(30, 64)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 75)(38, 73)(39, 74)(40, 78)(41, 76)(42, 77)(85, 128)(86, 131)(87, 133)(88, 127)(89, 137)(90, 139)(91, 138)(92, 129)(93, 140)(94, 130)(95, 136)(96, 146)(97, 145)(98, 132)(99, 149)(100, 150)(101, 134)(102, 135)(103, 144)(104, 143)(105, 154)(106, 155)(107, 153)(108, 141)(109, 142)(110, 156)(111, 151)(112, 152)(113, 147)(114, 148)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 159)(122, 157)(123, 158)(124, 162)(125, 160)(126, 161)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.650
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, (Y2 * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 11, 53)(4, 46, 8, 50)(5, 47, 13, 55)(6, 48, 10, 52)(7, 49, 14, 56)(9, 51, 16, 58)(12, 54, 18, 60)(15, 57, 22, 64)(17, 59, 25, 67)(19, 61, 26, 68)(20, 62, 27, 69)(21, 63, 28, 70)(23, 65, 29, 71)(24, 66, 30, 72)(31, 73, 37, 79)(32, 74, 38, 80)(33, 75, 39, 81)(34, 76, 40, 82)(35, 77, 41, 83)(36, 78, 42, 84)(85, 127, 87, 129, 88, 130, 96, 138, 90, 132, 89, 131)(86, 128, 91, 133, 92, 134, 99, 141, 94, 136, 93, 135)(95, 137, 101, 143, 102, 144, 104, 146, 97, 139, 103, 145)(98, 140, 105, 147, 106, 148, 108, 150, 100, 142, 107, 149)(109, 151, 115, 157, 111, 153, 117, 159, 110, 152, 116, 158)(112, 154, 118, 160, 114, 156, 120, 162, 113, 155, 119, 161)(121, 163, 125, 167, 123, 165, 124, 166, 122, 164, 126, 168)
	L = (1, 88)(2, 92)(3, 96)(4, 90)(5, 87)(6, 85)(7, 99)(8, 94)(9, 91)(10, 86)(11, 102)(12, 89)(13, 95)(14, 106)(15, 93)(16, 98)(17, 104)(18, 97)(19, 101)(20, 103)(21, 108)(22, 100)(23, 105)(24, 107)(25, 111)(26, 109)(27, 110)(28, 114)(29, 112)(30, 113)(31, 117)(32, 115)(33, 116)(34, 120)(35, 118)(36, 119)(37, 123)(38, 121)(39, 122)(40, 126)(41, 124)(42, 125)(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) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.655
Graph:: bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 4^21, 12^7 ]

E22.655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D14 (small group id <42, 4>)
Aut   = S3 x D14 (small group id <84, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y3^-1 * Y2, Y1^2 * Y3^-1, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 4, 46, 9, 51, 7, 49, 5, 47)(3, 45, 11, 53, 12, 54, 15, 57, 6, 48, 13, 55)(8, 50, 16, 58, 14, 56, 18, 60, 10, 52, 17, 59)(19, 61, 25, 67, 21, 63, 27, 69, 20, 62, 26, 68)(22, 64, 28, 70, 24, 66, 30, 72, 23, 65, 29, 71)(31, 73, 37, 79, 33, 75, 39, 81, 32, 74, 38, 80)(34, 76, 40, 82, 36, 78, 42, 84, 35, 77, 41, 83)(85, 127, 87, 129, 88, 130, 96, 138, 91, 133, 90, 132)(86, 128, 92, 134, 93, 135, 98, 140, 89, 131, 94, 136)(95, 137, 103, 145, 99, 141, 105, 147, 97, 139, 104, 146)(100, 142, 106, 148, 102, 144, 108, 150, 101, 143, 107, 149)(109, 151, 115, 157, 111, 153, 117, 159, 110, 152, 116, 158)(112, 154, 118, 160, 114, 156, 120, 162, 113, 155, 119, 161)(121, 163, 124, 166, 123, 165, 126, 168, 122, 164, 125, 167)
	L = (1, 88)(2, 93)(3, 96)(4, 91)(5, 86)(6, 87)(7, 85)(8, 98)(9, 89)(10, 92)(11, 99)(12, 90)(13, 95)(14, 94)(15, 97)(16, 102)(17, 100)(18, 101)(19, 105)(20, 103)(21, 104)(22, 108)(23, 106)(24, 107)(25, 111)(26, 109)(27, 110)(28, 114)(29, 112)(30, 113)(31, 117)(32, 115)(33, 116)(34, 120)(35, 118)(36, 119)(37, 123)(38, 121)(39, 122)(40, 126)(41, 124)(42, 125)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.654
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^7 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 17, 59)(12, 54, 18, 60)(13, 55, 19, 61)(14, 56, 20, 62)(15, 57, 21, 63)(16, 58, 22, 64)(23, 65, 29, 71)(24, 66, 30, 72)(25, 67, 31, 73)(26, 68, 32, 74)(27, 69, 33, 75)(28, 70, 34, 76)(35, 77, 39, 81)(36, 78, 40, 82)(37, 79, 41, 83)(38, 80, 42, 84)(85, 127, 87, 129, 89, 131)(86, 128, 91, 133, 93, 135)(88, 130, 95, 137, 98, 140)(90, 132, 96, 138, 99, 141)(92, 134, 101, 143, 104, 146)(94, 136, 102, 144, 105, 147)(97, 139, 107, 149, 110, 152)(100, 142, 108, 150, 111, 153)(103, 145, 113, 155, 116, 158)(106, 148, 114, 156, 117, 159)(109, 151, 119, 161, 121, 163)(112, 154, 120, 162, 122, 164)(115, 157, 123, 165, 125, 167)(118, 160, 124, 166, 126, 168)
	L = (1, 88)(2, 92)(3, 95)(4, 97)(5, 98)(6, 85)(7, 101)(8, 103)(9, 104)(10, 86)(11, 107)(12, 87)(13, 109)(14, 110)(15, 89)(16, 90)(17, 113)(18, 91)(19, 115)(20, 116)(21, 93)(22, 94)(23, 119)(24, 96)(25, 120)(26, 121)(27, 99)(28, 100)(29, 123)(30, 102)(31, 124)(32, 125)(33, 105)(34, 106)(35, 122)(36, 108)(37, 112)(38, 111)(39, 126)(40, 114)(41, 118)(42, 117)(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) :: { ( 14, 84, 14, 84 ), ( 14, 84, 14, 84, 14, 84 ) }
Outer automorphisms :: reflexible
Dual of E22.659
Graph:: simple bipartite
	v = 35 e = 84 f = 7
	degree seq :: [ 4^21, 6^14 ]

E22.657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2, Y3), (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 13, 55)(4, 46, 9, 51, 7, 49)(6, 48, 10, 52, 16, 58)(11, 53, 19, 61, 25, 67)(12, 54, 20, 62, 14, 56)(15, 57, 21, 63, 18, 60)(17, 59, 22, 64, 28, 70)(23, 65, 31, 73, 36, 78)(24, 66, 32, 74, 26, 68)(27, 69, 33, 75, 30, 72)(29, 71, 34, 76, 39, 81)(35, 77, 41, 83, 37, 79)(38, 80, 42, 84, 40, 82)(85, 127, 87, 129, 95, 137, 107, 149, 113, 155, 101, 143, 90, 132)(86, 128, 92, 134, 103, 145, 115, 157, 118, 160, 106, 148, 94, 136)(88, 130, 96, 138, 108, 150, 119, 161, 122, 164, 111, 153, 99, 141)(89, 131, 97, 139, 109, 151, 120, 162, 123, 165, 112, 154, 100, 142)(91, 133, 98, 140, 110, 152, 121, 163, 124, 166, 114, 156, 102, 144)(93, 135, 104, 146, 116, 158, 125, 167, 126, 168, 117, 159, 105, 147)
	L = (1, 88)(2, 93)(3, 96)(4, 86)(5, 91)(6, 99)(7, 85)(8, 104)(9, 89)(10, 105)(11, 108)(12, 92)(13, 98)(14, 87)(15, 94)(16, 102)(17, 111)(18, 90)(19, 116)(20, 97)(21, 100)(22, 117)(23, 119)(24, 103)(25, 110)(26, 95)(27, 106)(28, 114)(29, 122)(30, 101)(31, 125)(32, 109)(33, 112)(34, 126)(35, 115)(36, 121)(37, 107)(38, 118)(39, 124)(40, 113)(41, 120)(42, 123)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 84, 4, 84, 4, 84 ), ( 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84, 4, 84 ) }
Outer automorphisms :: reflexible
Dual of E22.658
Graph:: simple bipartite
	v = 20 e = 84 f = 22
	degree seq :: [ 6^14, 14^6 ]

E22.658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, Y2 * Y1 * Y2 * Y1^-1, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^-1 * Y3^-1 * Y1^-6, (Y1^-1 * Y3^-1)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 7, 49, 17, 59, 29, 71, 28, 70, 16, 58, 6, 48, 10, 52, 20, 62, 32, 74, 40, 82, 35, 77, 23, 65, 11, 53, 21, 63, 33, 75, 41, 83, 36, 78, 24, 66, 12, 54, 3, 45, 8, 50, 18, 60, 30, 72, 39, 81, 37, 79, 25, 67, 13, 55, 22, 64, 34, 76, 42, 84, 38, 80, 26, 68, 14, 56, 4, 46, 9, 51, 19, 61, 31, 73, 27, 69, 15, 57, 5, 47)(85, 127, 87, 129)(86, 128, 92, 134)(88, 130, 95, 137)(89, 131, 96, 138)(90, 132, 97, 139)(91, 133, 102, 144)(93, 135, 105, 147)(94, 136, 106, 148)(98, 140, 107, 149)(99, 141, 108, 150)(100, 142, 109, 151)(101, 143, 114, 156)(103, 145, 117, 159)(104, 146, 118, 160)(110, 152, 119, 161)(111, 153, 120, 162)(112, 154, 121, 163)(113, 155, 123, 165)(115, 157, 125, 167)(116, 158, 126, 168)(122, 164, 124, 166)
	L = (1, 88)(2, 93)(3, 95)(4, 97)(5, 98)(6, 85)(7, 103)(8, 105)(9, 106)(10, 86)(11, 90)(12, 107)(13, 87)(14, 109)(15, 110)(16, 89)(17, 115)(18, 117)(19, 118)(20, 91)(21, 94)(22, 92)(23, 100)(24, 119)(25, 96)(26, 121)(27, 122)(28, 99)(29, 111)(30, 125)(31, 126)(32, 101)(33, 104)(34, 102)(35, 112)(36, 124)(37, 108)(38, 123)(39, 120)(40, 113)(41, 116)(42, 114)(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) :: { ( 6, 14, 6, 14 ), ( 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.657
Graph:: bipartite
	v = 22 e = 84 f = 20
	degree seq :: [ 4^21, 84 ]

E22.659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y3), (Y1^-1, Y3^-1), (Y2^-1, Y1^-1), Y1^-3 * Y3^-3, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y3^6, Y1^2 * Y3^-1 * Y1^2 * Y2^-2, Y2^-6 * Y1, Y1^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 8, 50, 23, 65, 34, 76, 18, 60, 5, 47)(3, 45, 9, 51, 24, 66, 22, 64, 32, 74, 37, 79, 15, 57)(4, 46, 10, 52, 25, 67, 21, 63, 31, 73, 39, 81, 17, 59)(6, 48, 11, 53, 26, 68, 36, 78, 14, 56, 29, 71, 19, 61)(7, 49, 12, 54, 27, 69, 35, 77, 13, 55, 28, 70, 20, 62)(16, 58, 30, 72, 41, 83, 40, 82, 33, 75, 42, 84, 38, 80)(85, 127, 87, 129, 97, 139, 117, 159, 115, 157, 95, 137, 86, 128, 93, 135, 112, 154, 126, 168, 123, 165, 110, 152, 92, 134, 108, 150, 104, 146, 122, 164, 101, 143, 120, 162, 107, 149, 106, 148, 91, 133, 100, 142, 88, 130, 98, 140, 118, 160, 116, 158, 96, 138, 114, 156, 94, 136, 113, 155, 102, 144, 121, 163, 111, 153, 125, 167, 109, 151, 103, 145, 89, 131, 99, 141, 119, 161, 124, 166, 105, 147, 90, 132)
	L = (1, 88)(2, 94)(3, 98)(4, 97)(5, 101)(6, 100)(7, 85)(8, 109)(9, 113)(10, 112)(11, 114)(12, 86)(13, 118)(14, 117)(15, 120)(16, 87)(17, 119)(18, 123)(19, 122)(20, 89)(21, 91)(22, 90)(23, 105)(24, 103)(25, 104)(26, 125)(27, 92)(28, 102)(29, 126)(30, 93)(31, 96)(32, 95)(33, 116)(34, 115)(35, 107)(36, 124)(37, 110)(38, 99)(39, 111)(40, 106)(41, 108)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 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, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.656
Graph:: bipartite
	v = 7 e = 84 f = 35
	degree seq :: [ 14^6, 84 ]

E22.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^3 * Y2^-3, Y3^3 * Y2^4, Y3^42 ]
Map:: non-degenerate
	R = (1, 43, 2, 44)(3, 45, 7, 49)(4, 46, 8, 50)(5, 47, 9, 51)(6, 48, 10, 52)(11, 53, 19, 61)(12, 54, 20, 62)(13, 55, 21, 63)(14, 56, 22, 64)(15, 57, 23, 65)(16, 58, 24, 66)(17, 59, 25, 67)(18, 60, 26, 68)(27, 69, 35, 77)(28, 70, 36, 78)(29, 71, 37, 79)(30, 72, 38, 80)(31, 73, 39, 81)(32, 74, 40, 82)(33, 75, 41, 83)(34, 76, 42, 84)(85, 127, 87, 129, 95, 137, 111, 153, 116, 158, 100, 142, 89, 131)(86, 128, 91, 133, 103, 145, 119, 161, 124, 166, 108, 150, 93, 135)(88, 130, 96, 138, 112, 154, 118, 160, 102, 144, 115, 157, 99, 141)(90, 132, 97, 139, 113, 155, 98, 140, 114, 156, 117, 159, 101, 143)(92, 134, 104, 146, 120, 162, 126, 168, 110, 152, 123, 165, 107, 149)(94, 136, 105, 147, 121, 163, 106, 148, 122, 164, 125, 167, 109, 151)
	L = (1, 88)(2, 92)(3, 96)(4, 98)(5, 99)(6, 85)(7, 104)(8, 106)(9, 107)(10, 86)(11, 112)(12, 114)(13, 87)(14, 111)(15, 113)(16, 115)(17, 89)(18, 90)(19, 120)(20, 122)(21, 91)(22, 119)(23, 121)(24, 123)(25, 93)(26, 94)(27, 118)(28, 117)(29, 95)(30, 116)(31, 97)(32, 102)(33, 100)(34, 101)(35, 126)(36, 125)(37, 103)(38, 124)(39, 105)(40, 110)(41, 108)(42, 109)(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) :: { ( 6, 84, 6, 84 ), ( 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84, 6, 84 ) }
Outer automorphisms :: reflexible
Dual of E22.661
Graph:: simple bipartite
	v = 27 e = 84 f = 15
	degree seq :: [ 4^21, 14^6 ]

E22.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 7, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y2, Y3), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y2^3 * Y3 * Y2^-3, Y2^-3 * Y3 * Y2^-4, (Y2^-1 * Y3)^7 ]
Map:: non-degenerate
	R = (1, 43, 2, 44, 5, 47)(3, 45, 8, 50, 13, 55)(4, 46, 9, 51, 7, 49)(6, 48, 10, 52, 16, 58)(11, 53, 19, 61, 25, 67)(12, 54, 20, 62, 14, 56)(15, 57, 21, 63, 18, 60)(17, 59, 22, 64, 28, 70)(23, 65, 31, 73, 37, 79)(24, 66, 32, 74, 26, 68)(27, 69, 33, 75, 30, 72)(29, 71, 34, 76, 39, 81)(35, 77, 41, 83, 40, 82)(36, 78, 42, 84, 38, 80)(85, 127, 87, 129, 95, 137, 107, 149, 119, 161, 111, 153, 99, 141, 88, 130, 96, 138, 108, 150, 120, 162, 118, 160, 106, 148, 94, 136, 86, 128, 92, 134, 103, 145, 115, 157, 125, 167, 117, 159, 105, 147, 93, 135, 104, 146, 116, 158, 126, 168, 123, 165, 112, 154, 100, 142, 89, 131, 97, 139, 109, 151, 121, 163, 124, 166, 114, 156, 102, 144, 91, 133, 98, 140, 110, 152, 122, 164, 113, 155, 101, 143, 90, 132)
	L = (1, 88)(2, 93)(3, 96)(4, 86)(5, 91)(6, 99)(7, 85)(8, 104)(9, 89)(10, 105)(11, 108)(12, 92)(13, 98)(14, 87)(15, 94)(16, 102)(17, 111)(18, 90)(19, 116)(20, 97)(21, 100)(22, 117)(23, 120)(24, 103)(25, 110)(26, 95)(27, 106)(28, 114)(29, 119)(30, 101)(31, 126)(32, 109)(33, 112)(34, 125)(35, 118)(36, 115)(37, 122)(38, 107)(39, 124)(40, 113)(41, 123)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 4, 14, 4, 14, 4, 14 ), ( 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14, 4, 14 ) }
Outer automorphisms :: reflexible
Dual of E22.660
Graph:: bipartite
	v = 15 e = 84 f = 27
	degree seq :: [ 6^14, 84 ]

E22.662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 22})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^11 ]
Map:: non-degenerate
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 7, 51)(6, 50, 8, 52)(9, 53, 13, 57)(10, 54, 12, 56)(11, 55, 15, 59)(14, 58, 16, 60)(17, 61, 21, 65)(18, 62, 20, 64)(19, 63, 23, 67)(22, 66, 24, 68)(25, 69, 29, 73)(26, 70, 28, 72)(27, 71, 31, 75)(30, 74, 32, 76)(33, 77, 37, 81)(34, 78, 36, 80)(35, 79, 39, 83)(38, 82, 40, 84)(41, 85, 44, 88)(42, 86, 43, 87)(89, 133, 91, 135, 90, 134, 93, 137)(92, 136, 98, 142, 95, 139, 100, 144)(94, 138, 97, 141, 96, 140, 101, 145)(99, 143, 106, 150, 103, 147, 108, 152)(102, 146, 105, 149, 104, 148, 109, 153)(107, 151, 114, 158, 111, 155, 116, 160)(110, 154, 113, 157, 112, 156, 117, 161)(115, 159, 122, 166, 119, 163, 124, 168)(118, 162, 121, 165, 120, 164, 125, 169)(123, 167, 130, 174, 127, 171, 131, 175)(126, 170, 129, 173, 128, 172, 132, 176)
	L = (1, 92)(2, 95)(3, 97)(4, 99)(5, 101)(6, 89)(7, 103)(8, 90)(9, 105)(10, 91)(11, 107)(12, 93)(13, 109)(14, 94)(15, 111)(16, 96)(17, 113)(18, 98)(19, 115)(20, 100)(21, 117)(22, 102)(23, 119)(24, 104)(25, 121)(26, 106)(27, 123)(28, 108)(29, 125)(30, 110)(31, 127)(32, 112)(33, 129)(34, 114)(35, 126)(36, 116)(37, 132)(38, 118)(39, 128)(40, 120)(41, 130)(42, 122)(43, 124)(44, 131)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8, 44, 8, 44 ), ( 8, 44, 8, 44, 8, 44, 8, 44 ) }
Outer automorphisms :: reflexible
Dual of E22.663
Graph:: bipartite
	v = 33 e = 88 f = 13
	degree seq :: [ 4^22, 8^11 ]

E22.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 22})
Quotient :: dipole
Aut^+ = C11 : C4 (small group id <44, 1>)
Aut   = (C22 x C2) : C2 (small group id <88, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, (Y3, Y2^-1), Y2^-1 * Y3 * Y1^-2, Y3 * Y1 * Y2 * Y1, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y2)^2, Y1^4, (R * Y1)^2, Y3^-1 * Y2^-10, Y3^11 ]
Map:: non-degenerate
	R = (1, 45, 2, 46, 8, 52, 5, 49)(3, 47, 11, 55, 4, 48, 12, 56)(6, 50, 9, 53, 7, 51, 10, 54)(13, 57, 19, 63, 14, 58, 20, 64)(15, 59, 17, 61, 16, 60, 18, 62)(21, 65, 27, 71, 22, 66, 28, 72)(23, 67, 25, 69, 24, 68, 26, 70)(29, 73, 35, 79, 30, 74, 36, 80)(31, 75, 33, 77, 32, 76, 34, 78)(37, 81, 43, 87, 38, 82, 44, 88)(39, 83, 41, 85, 40, 84, 42, 86)(89, 133, 91, 135, 101, 145, 109, 153, 117, 161, 125, 169, 128, 172, 120, 164, 112, 156, 104, 148, 95, 139, 96, 140, 92, 136, 102, 146, 110, 154, 118, 162, 126, 170, 127, 171, 119, 163, 111, 155, 103, 147, 94, 138)(90, 134, 97, 141, 105, 149, 113, 157, 121, 165, 129, 173, 132, 176, 124, 168, 116, 160, 108, 152, 100, 144, 93, 137, 98, 142, 106, 150, 114, 158, 122, 166, 130, 174, 131, 175, 123, 167, 115, 159, 107, 151, 99, 143)
	L = (1, 92)(2, 98)(3, 102)(4, 101)(5, 97)(6, 96)(7, 89)(8, 91)(9, 106)(10, 105)(11, 93)(12, 90)(13, 110)(14, 109)(15, 95)(16, 94)(17, 114)(18, 113)(19, 100)(20, 99)(21, 118)(22, 117)(23, 104)(24, 103)(25, 122)(26, 121)(27, 108)(28, 107)(29, 126)(30, 125)(31, 112)(32, 111)(33, 130)(34, 129)(35, 116)(36, 115)(37, 127)(38, 128)(39, 120)(40, 119)(41, 131)(42, 132)(43, 124)(44, 123)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E22.662
Graph:: bipartite
	v = 13 e = 88 f = 33
	degree seq :: [ 8^11, 44^2 ]

E22.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 44, 44})
Quotient :: dipole
Aut^+ = C44 (small group id <44, 2>)
Aut   = D88 (small group id <88, 5>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^22 * Y1, (Y3 * Y2^-1)^44 ]
Map::
	R = (1, 45, 2, 46)(3, 47, 5, 49)(4, 48, 6, 50)(7, 51, 9, 53)(8, 52, 10, 54)(11, 55, 13, 57)(12, 56, 14, 58)(15, 59, 17, 61)(16, 60, 18, 62)(19, 63, 21, 65)(20, 64, 22, 66)(23, 67, 25, 69)(24, 68, 26, 70)(27, 71, 29, 73)(28, 72, 30, 74)(31, 75, 33, 77)(32, 76, 34, 78)(35, 79, 37, 81)(36, 80, 38, 82)(39, 83, 41, 85)(40, 84, 42, 86)(43, 87, 44, 88)(89, 133, 91, 135, 95, 139, 99, 143, 103, 147, 107, 151, 111, 155, 115, 159, 119, 163, 123, 167, 127, 171, 131, 175, 130, 174, 126, 170, 122, 166, 118, 162, 114, 158, 110, 154, 106, 150, 102, 146, 98, 142, 94, 138, 90, 134, 93, 137, 97, 141, 101, 145, 105, 149, 109, 153, 113, 157, 117, 161, 121, 165, 125, 169, 129, 173, 132, 176, 128, 172, 124, 168, 120, 164, 116, 160, 112, 156, 108, 152, 104, 148, 100, 144, 96, 140, 92, 136)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 4, 88, 4, 88 ), ( 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 23 e = 88 f = 23
	degree seq :: [ 4^22, 88 ]

E22.665 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {45, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T1)^2, (F * T2)^2, T1 * T2^-22 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 42, 38, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 45, 41, 37, 33, 29, 25, 21, 17, 13, 9, 5)(46, 47, 50, 51, 54, 55, 58, 59, 62, 63, 66, 67, 70, 71, 74, 75, 78, 79, 82, 83, 86, 87, 90, 88, 89, 84, 85, 80, 81, 76, 77, 72, 73, 68, 69, 64, 65, 60, 61, 56, 57, 52, 53, 48, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E22.669
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 1
	degree seq :: [ 45^2 ]

E22.666 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {45, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-5, T1^2 * T2 * T1 * T2^5, T1^-3 * T2^-2 * T1 * T2 * T1^2 * T2, T2^-2 * T1^-3 * 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 * 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, 33, 36, 22, 26, 40, 43, 32, 18, 8, 2, 7, 17, 31, 37, 23, 11, 21, 35, 45, 42, 30, 16, 6, 15, 29, 38, 24, 12, 4, 10, 20, 34, 44, 41, 28, 14, 27, 39, 25, 13, 5)(46, 47, 51, 59, 71, 66, 55, 48, 52, 60, 72, 85, 80, 65, 54, 62, 74, 84, 88, 90, 79, 64, 76, 83, 70, 77, 87, 89, 78, 82, 69, 58, 63, 75, 86, 81, 68, 57, 50, 53, 61, 73, 67, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E22.671
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 1
	degree seq :: [ 45^2 ]

E22.667 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {45, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^3 * T1^2 * T2, T1^3 * T2 * T1^5, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 44, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 42, 26, 37, 45, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 43, 28, 14, 27, 41, 25, 13, 5)(46, 47, 51, 59, 71, 83, 68, 57, 50, 53, 61, 73, 87, 78, 84, 69, 58, 63, 75, 88, 79, 64, 76, 85, 70, 77, 89, 80, 65, 54, 62, 74, 86, 90, 81, 66, 55, 48, 52, 60, 72, 82, 67, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E22.670
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 1
	degree seq :: [ 45^2 ]

E22.668 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {45, 45, 45})
Quotient :: edge
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^-3 * T1^3, T2 * T1^14, T2^45, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 41, 45, 38, 31, 27, 20, 11, 18, 8, 2, 7, 17, 22, 29, 36, 40, 43, 39, 32, 25, 21, 12, 4, 10, 16, 6, 15, 24, 28, 35, 42, 44, 37, 33, 26, 19, 13, 5)(46, 47, 51, 59, 67, 73, 79, 85, 89, 83, 77, 71, 65, 57, 50, 53, 61, 54, 62, 69, 75, 81, 87, 90, 84, 78, 72, 66, 58, 63, 55, 48, 52, 60, 68, 74, 80, 86, 88, 82, 76, 70, 64, 56, 49)
	L = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)
	local type(s) :: { ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E22.672
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 45 f = 1
	degree seq :: [ 45^2 ]

E22.669 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {45, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-1 * T1, (F * T1)^2, (F * T2)^2, T2^45, T1^45, (T2^-1 * T1^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 2, 47, 6, 51, 14, 59, 22, 67, 30, 75, 38, 83, 35, 80, 27, 72, 19, 64, 10, 55, 3, 48, 7, 52, 15, 60, 23, 68, 31, 76, 39, 84, 44, 89, 42, 87, 34, 79, 26, 71, 18, 63, 9, 54, 13, 58, 17, 62, 25, 70, 33, 78, 41, 86, 45, 90, 43, 88, 37, 82, 29, 74, 21, 66, 12, 57, 5, 50, 8, 53, 16, 61, 24, 69, 32, 77, 40, 85, 36, 81, 28, 73, 20, 65, 11, 56, 4, 49)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 58)(10, 48)(11, 49)(12, 50)(13, 62)(14, 67)(15, 68)(16, 69)(17, 70)(18, 54)(19, 55)(20, 56)(21, 57)(22, 75)(23, 76)(24, 77)(25, 78)(26, 63)(27, 64)(28, 65)(29, 66)(30, 83)(31, 84)(32, 85)(33, 86)(34, 71)(35, 72)(36, 73)(37, 74)(38, 80)(39, 89)(40, 81)(41, 90)(42, 79)(43, 82)(44, 87)(45, 88)
	local type(s) :: { ( 45^90 ) }
Outer automorphisms :: reflexible
Dual of E22.665
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 2
	degree seq :: [ 90 ]

E22.670 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {45, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2 * T1^-5, T1^2 * T2 * T1 * T2^5, T1^-3 * T2^-2 * T1 * T2 * T1^2 * T2, T2^-2 * T1^-3 * 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 * 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, 46, 3, 48, 9, 54, 19, 64, 33, 78, 36, 81, 22, 67, 26, 71, 40, 85, 43, 88, 32, 77, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 31, 76, 37, 82, 23, 68, 11, 56, 21, 66, 35, 80, 45, 90, 42, 87, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 38, 83, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 34, 79, 44, 89, 41, 86, 28, 73, 14, 59, 27, 72, 39, 84, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 77)(26, 66)(27, 85)(28, 67)(29, 84)(30, 86)(31, 83)(32, 87)(33, 82)(34, 64)(35, 65)(36, 68)(37, 69)(38, 70)(39, 88)(40, 80)(41, 81)(42, 89)(43, 90)(44, 78)(45, 79)
	local type(s) :: { ( 45^90 ) }
Outer automorphisms :: reflexible
Dual of E22.667
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 2
	degree seq :: [ 90 ]

E22.671 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {45, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^3 * T1^2 * T2, T1^3 * T2 * T1^5, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 33, 78, 38, 83, 22, 67, 36, 81, 44, 89, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 40, 85, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 34, 79, 42, 87, 26, 71, 37, 82, 45, 90, 32, 77, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 31, 76, 39, 84, 23, 68, 11, 56, 21, 66, 35, 80, 43, 88, 28, 73, 14, 59, 27, 72, 41, 86, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 77)(26, 83)(27, 82)(28, 87)(29, 86)(30, 88)(31, 85)(32, 89)(33, 84)(34, 64)(35, 65)(36, 66)(37, 67)(38, 68)(39, 69)(40, 70)(41, 90)(42, 78)(43, 79)(44, 80)(45, 81)
	local type(s) :: { ( 45^90 ) }
Outer automorphisms :: reflexible
Dual of E22.666
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 2
	degree seq :: [ 90 ]

E22.672 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {45, 45, 45})
Quotient :: loop
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-3 * T1 * T2^-4, T1^3 * T2 * T1 * T2^2 * T1^2, T2^-1 * T1^3 * T2^2 * T1^-1 * T2^-1 * T1^-2, (T1^-1 * T2^-1)^45 ]
Map:: non-degenerate
	R = (1, 46, 3, 48, 9, 54, 19, 64, 32, 77, 18, 63, 8, 53, 2, 47, 7, 52, 17, 62, 31, 76, 42, 87, 30, 75, 16, 61, 6, 51, 15, 60, 29, 74, 36, 81, 45, 90, 41, 86, 28, 73, 14, 59, 27, 72, 37, 82, 22, 67, 35, 80, 44, 89, 40, 85, 26, 71, 38, 83, 23, 68, 11, 56, 21, 66, 34, 79, 43, 88, 39, 84, 24, 69, 12, 57, 4, 49, 10, 55, 20, 65, 33, 78, 25, 70, 13, 58, 5, 50)
	L = (1, 47)(2, 51)(3, 52)(4, 46)(5, 53)(6, 59)(7, 60)(8, 61)(9, 62)(10, 48)(11, 49)(12, 50)(13, 63)(14, 71)(15, 72)(16, 73)(17, 74)(18, 75)(19, 76)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 77)(26, 84)(27, 83)(28, 85)(29, 82)(30, 86)(31, 81)(32, 87)(33, 64)(34, 65)(35, 66)(36, 67)(37, 68)(38, 69)(39, 70)(40, 88)(41, 89)(42, 90)(43, 78)(44, 79)(45, 80)
	local type(s) :: { ( 45^90 ) }
Outer automorphisms :: reflexible
Dual of E22.668
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 45 f = 2
	degree seq :: [ 90 ]

E22.673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^22 * Y2, Y2 * Y1^-22 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 10, 55, 14, 59, 18, 63, 22, 67, 26, 71, 30, 75, 34, 79, 38, 83, 42, 87, 44, 89, 40, 85, 36, 81, 32, 77, 28, 73, 24, 69, 20, 65, 16, 61, 12, 57, 8, 53, 3, 48, 5, 50, 7, 52, 11, 56, 15, 60, 19, 64, 23, 68, 27, 72, 31, 76, 35, 80, 39, 84, 43, 88, 45, 90, 41, 86, 37, 82, 33, 78, 29, 74, 25, 70, 21, 66, 17, 62, 13, 58, 9, 54, 4, 49)(91, 136, 93, 138, 94, 139, 98, 143, 99, 144, 102, 147, 103, 148, 106, 151, 107, 152, 110, 155, 111, 156, 114, 159, 115, 160, 118, 163, 119, 164, 122, 167, 123, 168, 126, 171, 127, 172, 130, 175, 131, 176, 134, 179, 135, 180, 132, 177, 133, 178, 128, 173, 129, 174, 124, 169, 125, 170, 120, 165, 121, 166, 116, 161, 117, 162, 112, 157, 113, 158, 108, 153, 109, 154, 104, 149, 105, 150, 100, 145, 101, 146, 96, 141, 97, 142, 92, 137, 95, 140)
	L = (1, 94)(2, 91)(3, 98)(4, 99)(5, 93)(6, 92)(7, 95)(8, 102)(9, 103)(10, 96)(11, 97)(12, 106)(13, 107)(14, 100)(15, 101)(16, 110)(17, 111)(18, 104)(19, 105)(20, 114)(21, 115)(22, 108)(23, 109)(24, 118)(25, 119)(26, 112)(27, 113)(28, 122)(29, 123)(30, 116)(31, 117)(32, 126)(33, 127)(34, 120)(35, 121)(36, 130)(37, 131)(38, 124)(39, 125)(40, 134)(41, 135)(42, 128)(43, 129)(44, 132)(45, 133)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.677
Graph:: bipartite
	v = 2 e = 90 f = 46
	degree seq :: [ 90^2 ]

E22.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3^-1, (R * Y1)^2, Y1 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y2, (R * Y2)^2, Y2^6 * Y3 * Y2, Y2 * Y3^-2 * Y2^2 * Y3^-4, Y1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^-2, Y1^2 * Y2^-1 * Y3^-2 * Y1 * Y3^-1 * Y2^4, Y1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1 * Y3^-3 * Y2^-2, Y1^45, (Y2^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 39, 84, 25, 70, 32, 77, 42, 87, 45, 90, 35, 80, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 27, 72, 38, 83, 24, 69, 13, 58, 18, 63, 30, 75, 41, 86, 44, 89, 34, 79, 20, 65, 9, 54, 17, 62, 29, 74, 37, 82, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 28, 73, 40, 85, 43, 88, 33, 78, 19, 64, 31, 76, 36, 81, 22, 67, 11, 56, 4, 49)(91, 136, 93, 138, 99, 144, 109, 154, 122, 167, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 121, 166, 132, 177, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 126, 171, 135, 180, 131, 176, 118, 163, 104, 149, 117, 162, 127, 172, 112, 157, 125, 170, 134, 179, 130, 175, 116, 161, 128, 173, 113, 158, 101, 146, 111, 156, 124, 169, 133, 178, 129, 174, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 123, 168, 115, 160, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 123)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 115)(33, 133)(34, 134)(35, 135)(36, 121)(37, 119)(38, 117)(39, 116)(40, 118)(41, 120)(42, 122)(43, 130)(44, 131)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.680
Graph:: bipartite
	v = 2 e = 90 f = 46
	degree seq :: [ 90^2 ]

E22.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^2 * Y1 * Y3^-4, Y2^8 * Y1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-3, Y1^3 * Y2 * Y1 * Y2^2 * Y3^-2, Y3 * Y2 * Y3^3 * Y2^4 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2^3 * Y1^-3, Y1^45, 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 ]
Map::
	R = (1, 46, 2, 47, 6, 51, 14, 59, 26, 71, 40, 85, 25, 70, 32, 77, 44, 89, 35, 80, 20, 65, 9, 54, 17, 62, 29, 74, 38, 83, 23, 68, 12, 57, 5, 50, 8, 53, 16, 61, 28, 73, 42, 87, 33, 78, 41, 86, 45, 90, 36, 81, 21, 66, 10, 55, 3, 48, 7, 52, 15, 60, 27, 72, 39, 84, 24, 69, 13, 58, 18, 63, 30, 75, 43, 88, 34, 79, 19, 64, 31, 76, 37, 82, 22, 67, 11, 56, 4, 49)(91, 136, 93, 138, 99, 144, 109, 154, 123, 168, 130, 175, 114, 159, 102, 147, 94, 139, 100, 145, 110, 155, 124, 169, 132, 177, 116, 161, 129, 174, 113, 158, 101, 146, 111, 156, 125, 170, 133, 178, 118, 163, 104, 149, 117, 162, 128, 173, 112, 157, 126, 171, 134, 179, 120, 165, 106, 151, 96, 141, 105, 150, 119, 164, 127, 172, 135, 180, 122, 167, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 121, 166, 131, 176, 115, 160, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 110)(10, 111)(11, 112)(12, 113)(13, 114)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 124)(20, 125)(21, 126)(22, 127)(23, 128)(24, 129)(25, 130)(26, 104)(27, 105)(28, 106)(29, 107)(30, 108)(31, 109)(32, 115)(33, 132)(34, 133)(35, 134)(36, 135)(37, 121)(38, 119)(39, 117)(40, 116)(41, 123)(42, 118)(43, 120)(44, 122)(45, 131)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.679
Graph:: bipartite
	v = 2 e = 90 f = 46
	degree seq :: [ 90^2 ]

E22.676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^2 * Y3 * Y2 * Y1^-2, Y1^5 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-5, Y1^-1 * Y2^-1 * Y3 * Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-3 * Y2^-3, Y2^45, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 46, 2, 47, 6, 51, 14, 59, 22, 67, 28, 73, 34, 79, 40, 85, 45, 90, 39, 84, 33, 78, 27, 72, 21, 66, 13, 58, 18, 63, 10, 55, 3, 48, 7, 52, 15, 60, 23, 68, 29, 74, 35, 80, 41, 86, 44, 89, 38, 83, 32, 77, 26, 71, 20, 65, 12, 57, 5, 50, 8, 53, 16, 61, 9, 54, 17, 62, 24, 69, 30, 75, 36, 81, 42, 87, 43, 88, 37, 82, 31, 76, 25, 70, 19, 64, 11, 56, 4, 49)(91, 136, 93, 138, 99, 144, 104, 149, 113, 158, 120, 165, 124, 169, 131, 176, 133, 178, 129, 174, 122, 167, 115, 160, 111, 156, 102, 147, 94, 139, 100, 145, 106, 151, 96, 141, 105, 150, 114, 159, 118, 163, 125, 170, 132, 177, 135, 180, 128, 173, 121, 166, 117, 162, 110, 155, 101, 146, 108, 153, 98, 143, 92, 137, 97, 142, 107, 152, 112, 157, 119, 164, 126, 171, 130, 175, 134, 179, 127, 172, 123, 168, 116, 161, 109, 154, 103, 148, 95, 140)
	L = (1, 94)(2, 91)(3, 100)(4, 101)(5, 102)(6, 92)(7, 93)(8, 95)(9, 106)(10, 108)(11, 109)(12, 110)(13, 111)(14, 96)(15, 97)(16, 98)(17, 99)(18, 103)(19, 115)(20, 116)(21, 117)(22, 104)(23, 105)(24, 107)(25, 121)(26, 122)(27, 123)(28, 112)(29, 113)(30, 114)(31, 127)(32, 128)(33, 129)(34, 118)(35, 119)(36, 120)(37, 133)(38, 134)(39, 135)(40, 124)(41, 125)(42, 126)(43, 132)(44, 131)(45, 130)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.678
Graph:: bipartite
	v = 2 e = 90 f = 46
	degree seq :: [ 90^2 ]

E22.677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^45, (Y3 * Y2^-1)^45, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 94, 139, 96, 141, 98, 143, 100, 145, 102, 147, 104, 149, 113, 158, 122, 167, 131, 176, 135, 180, 134, 179, 133, 178, 132, 177, 130, 175, 123, 168, 129, 174, 128, 173, 127, 172, 126, 171, 125, 170, 124, 169, 121, 166, 120, 165, 119, 164, 118, 163, 117, 162, 116, 161, 115, 160, 114, 159, 112, 157, 111, 156, 110, 155, 109, 154, 108, 153, 107, 152, 106, 151, 105, 150, 103, 148, 101, 146, 99, 144, 97, 142, 95, 140, 93, 138)
	L = (1, 93)(2, 91)(3, 95)(4, 92)(5, 97)(6, 94)(7, 99)(8, 96)(9, 101)(10, 98)(11, 103)(12, 100)(13, 105)(14, 102)(15, 106)(16, 107)(17, 108)(18, 109)(19, 110)(20, 111)(21, 112)(22, 114)(23, 104)(24, 115)(25, 116)(26, 117)(27, 118)(28, 119)(29, 120)(30, 121)(31, 124)(32, 113)(33, 130)(34, 125)(35, 126)(36, 127)(37, 128)(38, 129)(39, 123)(40, 132)(41, 122)(42, 133)(43, 134)(44, 135)(45, 131)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^90 ) }
Outer automorphisms :: reflexible
Dual of E22.673
Graph:: bipartite
	v = 46 e = 90 f = 2
	degree seq :: [ 2^45, 90 ]

E22.678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y3^-1 * Y2^-7, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-4, Y3 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3, Y3^45, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 104, 149, 116, 161, 113, 158, 102, 147, 95, 140, 98, 143, 106, 151, 118, 163, 130, 175, 127, 172, 114, 159, 103, 148, 108, 153, 120, 165, 123, 168, 133, 178, 134, 179, 128, 173, 115, 160, 122, 167, 124, 169, 109, 154, 121, 166, 132, 177, 135, 180, 129, 174, 125, 170, 110, 155, 99, 144, 107, 152, 119, 164, 131, 176, 126, 171, 111, 156, 100, 145, 93, 138, 97, 142, 105, 150, 117, 162, 112, 157, 101, 146, 94, 139)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 117)(15, 119)(16, 96)(17, 121)(18, 98)(19, 123)(20, 124)(21, 125)(22, 126)(23, 101)(24, 102)(25, 103)(26, 112)(27, 131)(28, 104)(29, 132)(30, 106)(31, 133)(32, 108)(33, 118)(34, 120)(35, 122)(36, 129)(37, 113)(38, 114)(39, 115)(40, 116)(41, 135)(42, 134)(43, 130)(44, 127)(45, 128)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^90 ) }
Outer automorphisms :: reflexible
Dual of E22.676
Graph:: bipartite
	v = 46 e = 90 f = 2
	degree seq :: [ 2^45, 90 ]

E22.679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, Y3^-7 * Y2^-1, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^4 * Y3^-1, Y2^45, (Y3^-1 * Y1^-1)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 104, 149, 116, 161, 124, 169, 109, 154, 121, 166, 132, 177, 134, 179, 128, 173, 113, 158, 102, 147, 95, 140, 98, 143, 106, 151, 118, 163, 125, 170, 110, 155, 99, 144, 107, 152, 119, 164, 131, 176, 135, 180, 129, 174, 114, 159, 103, 148, 108, 153, 120, 165, 126, 171, 111, 156, 100, 145, 93, 138, 97, 142, 105, 150, 117, 162, 130, 175, 133, 178, 123, 168, 115, 160, 122, 167, 127, 172, 112, 157, 101, 146, 94, 139)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 117)(15, 119)(16, 96)(17, 121)(18, 98)(19, 123)(20, 124)(21, 125)(22, 126)(23, 101)(24, 102)(25, 103)(26, 130)(27, 131)(28, 104)(29, 132)(30, 106)(31, 115)(32, 108)(33, 114)(34, 133)(35, 116)(36, 118)(37, 120)(38, 112)(39, 113)(40, 135)(41, 134)(42, 122)(43, 129)(44, 127)(45, 128)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^90 ) }
Outer automorphisms :: reflexible
Dual of E22.675
Graph:: bipartite
	v = 46 e = 90 f = 2
	degree seq :: [ 2^45, 90 ]

E22.680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {45, 45, 45})
Quotient :: dipole
Aut^+ = C45 (small group id <45, 1>)
Aut   = D90 (small group id <90, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-2, Y3^13 * Y2^-1 * Y3, Y2^8 * Y3^-1 * Y2 * Y3^-4 * Y2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^45 ]
Map::
	R = (1, 46)(2, 47)(3, 48)(4, 49)(5, 50)(6, 51)(7, 52)(8, 53)(9, 54)(10, 55)(11, 56)(12, 57)(13, 58)(14, 59)(15, 60)(16, 61)(17, 62)(18, 63)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 69)(25, 70)(26, 71)(27, 72)(28, 73)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 89)(45, 90)(91, 136, 92, 137, 96, 141, 104, 149, 112, 157, 118, 163, 124, 169, 130, 175, 135, 180, 128, 173, 121, 166, 117, 162, 110, 155, 99, 144, 107, 152, 102, 147, 95, 140, 98, 143, 106, 151, 113, 158, 119, 164, 125, 170, 131, 176, 133, 178, 129, 174, 122, 167, 115, 160, 111, 156, 100, 145, 93, 138, 97, 142, 105, 150, 103, 148, 108, 153, 114, 159, 120, 165, 126, 171, 132, 177, 134, 179, 127, 172, 123, 168, 116, 161, 109, 154, 101, 146, 94, 139)
	L = (1, 93)(2, 97)(3, 99)(4, 100)(5, 91)(6, 105)(7, 107)(8, 92)(9, 109)(10, 110)(11, 111)(12, 94)(13, 95)(14, 103)(15, 102)(16, 96)(17, 101)(18, 98)(19, 115)(20, 116)(21, 117)(22, 108)(23, 104)(24, 106)(25, 121)(26, 122)(27, 123)(28, 114)(29, 112)(30, 113)(31, 127)(32, 128)(33, 129)(34, 120)(35, 118)(36, 119)(37, 133)(38, 134)(39, 135)(40, 126)(41, 124)(42, 125)(43, 130)(44, 131)(45, 132)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^90 ) }
Outer automorphisms :: reflexible
Dual of E22.674
Graph:: bipartite
	v = 46 e = 90 f = 2
	degree seq :: [ 2^45, 90 ]

E22.681 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^-1 * Y2, Y1^23 ]
Map::
	R = (1, 48, 2, 51, 5, 55, 9, 59, 13, 63, 17, 67, 21, 71, 25, 75, 29, 79, 33, 83, 37, 87, 41, 90, 44, 86, 40, 82, 36, 78, 32, 74, 28, 70, 24, 66, 20, 62, 16, 58, 12, 54, 8, 50, 4, 47)(3, 53, 7, 57, 11, 61, 15, 65, 19, 69, 23, 73, 27, 77, 31, 81, 35, 85, 39, 89, 43, 92, 46, 91, 45, 88, 42, 84, 38, 80, 34, 76, 30, 72, 26, 68, 22, 64, 18, 60, 14, 56, 10, 52, 6, 49)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 46)(47, 49)(48, 52)(50, 53)(51, 56)(54, 57)(55, 60)(58, 61)(59, 64)(62, 65)(63, 68)(66, 69)(67, 72)(70, 73)(71, 76)(74, 77)(75, 80)(78, 81)(79, 84)(82, 85)(83, 88)(86, 89)(87, 91)(90, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.682 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1)^2, Y3 * Y1 * Y2 * Y1^-3, Y1 * Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1 * 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 * 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^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 58, 12, 64, 18, 70, 24, 77, 31, 76, 30, 80, 34, 86, 40, 91, 45, 92, 46, 89, 43, 82, 36, 75, 29, 79, 33, 73, 27, 66, 20, 56, 10, 63, 17, 59, 13, 51, 5, 47)(3, 55, 9, 65, 19, 71, 25, 67, 21, 74, 28, 81, 35, 87, 41, 83, 37, 90, 44, 88, 42, 84, 38, 85, 39, 78, 32, 72, 26, 68, 22, 69, 23, 62, 16, 54, 8, 50, 4, 57, 11, 61, 15, 53, 7, 49)
	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, 37)(32, 40)(33, 41)(36, 44)(38, 46)(39, 45)(42, 43)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 66)(58, 68)(59, 61)(60, 69)(64, 72)(65, 73)(67, 75)(70, 78)(71, 79)(74, 82)(76, 84)(77, 85)(80, 88)(81, 89)(83, 91)(86, 90)(87, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.684
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.683 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1 * Y3 * Y1^-2 * Y2 * Y1, Y1 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1^2 * Y3 * Y2 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 56, 10, 63, 17, 70, 24, 77, 31, 73, 27, 79, 33, 86, 40, 92, 46, 89, 43, 90, 44, 83, 37, 76, 30, 80, 34, 74, 28, 67, 21, 58, 12, 64, 18, 59, 13, 51, 5, 47)(3, 55, 9, 62, 16, 54, 8, 50, 4, 57, 11, 66, 20, 72, 26, 68, 22, 75, 29, 82, 36, 88, 42, 84, 38, 91, 45, 87, 41, 81, 35, 85, 39, 78, 32, 71, 25, 65, 19, 69, 23, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 19)(11, 21)(13, 16)(14, 23)(17, 25)(20, 28)(22, 30)(24, 32)(26, 34)(27, 35)(29, 37)(31, 39)(33, 41)(36, 44)(38, 46)(40, 45)(42, 43)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 60)(58, 68)(59, 66)(61, 70)(64, 72)(65, 73)(67, 75)(69, 77)(71, 79)(74, 82)(76, 84)(78, 86)(80, 88)(81, 89)(83, 91)(85, 92)(87, 90)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.689
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.684 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2, Y1^-2 * Y3 * Y1^2 * Y2 * Y1^-4, Y1^3 * Y3 * Y1^-3 * Y2 * Y1 * Y3 * Y2, Y2 * Y1 * 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 * 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^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 72, 26, 84, 38, 82, 36, 69, 23, 58, 12, 64, 18, 76, 30, 88, 42, 91, 45, 79, 33, 66, 20, 56, 10, 63, 17, 75, 29, 87, 41, 83, 37, 71, 25, 59, 13, 51, 5, 47)(3, 55, 9, 65, 19, 78, 32, 90, 44, 89, 43, 77, 31, 70, 24, 67, 21, 80, 34, 92, 46, 86, 40, 74, 28, 62, 16, 54, 8, 50, 4, 57, 11, 68, 22, 81, 35, 85, 39, 73, 27, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 24)(20, 34)(22, 36)(25, 32)(26, 39)(28, 42)(29, 31)(33, 46)(35, 38)(37, 44)(40, 45)(41, 43)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 66)(58, 70)(59, 68)(60, 74)(61, 75)(64, 77)(65, 79)(67, 69)(71, 81)(72, 86)(73, 87)(76, 89)(78, 91)(80, 82)(83, 85)(84, 92)(88, 90)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.682
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.685 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3, Y1^-4 * Y2 * Y3 * Y1^-4, Y1^2 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-3 * Y3, Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-3 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 72, 26, 84, 38, 79, 33, 66, 20, 56, 10, 63, 17, 75, 29, 87, 41, 91, 45, 81, 35, 69, 23, 58, 12, 64, 18, 76, 30, 88, 42, 83, 37, 71, 25, 59, 13, 51, 5, 47)(3, 55, 9, 65, 19, 78, 32, 86, 40, 74, 28, 62, 16, 54, 8, 50, 4, 57, 11, 68, 22, 80, 34, 90, 44, 89, 43, 77, 31, 67, 21, 70, 24, 82, 36, 92, 46, 85, 39, 73, 27, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 24)(22, 35)(25, 32)(26, 39)(28, 42)(29, 43)(33, 36)(34, 45)(37, 40)(38, 46)(41, 44)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 66)(58, 70)(59, 68)(60, 74)(61, 75)(64, 67)(65, 79)(69, 82)(71, 80)(72, 86)(73, 87)(76, 77)(78, 84)(81, 92)(83, 90)(85, 91)(88, 89)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.686
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.686 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1 * Y2)^2, Y2 * Y3 * Y1 * Y2 * Y3, Y1^5 * Y3 * Y1^-6 * Y2, Y1^23, 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 * 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^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 68, 22, 76, 30, 84, 38, 89, 43, 81, 35, 73, 27, 65, 19, 56, 10, 58, 12, 63, 17, 71, 25, 79, 33, 87, 41, 91, 45, 83, 37, 75, 29, 67, 21, 59, 13, 51, 5, 47)(3, 55, 9, 64, 18, 72, 26, 80, 34, 88, 42, 86, 40, 78, 32, 70, 24, 62, 16, 54, 8, 50, 4, 57, 11, 66, 20, 74, 28, 82, 36, 90, 44, 92, 46, 85, 39, 77, 31, 69, 23, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 17)(10, 11)(13, 18)(14, 23)(16, 25)(19, 20)(21, 26)(22, 31)(24, 33)(27, 28)(29, 34)(30, 39)(32, 41)(35, 36)(37, 42)(38, 46)(40, 45)(43, 44)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 58)(55, 65)(59, 66)(60, 70)(61, 63)(64, 73)(67, 74)(68, 78)(69, 71)(72, 81)(75, 82)(76, 86)(77, 79)(80, 89)(83, 90)(84, 88)(85, 87)(91, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.685
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.687 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3 * Y1^-1 * Y2 * Y3 * Y2, Y1^-9 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 68, 22, 76, 30, 84, 38, 90, 44, 82, 36, 74, 28, 66, 20, 58, 12, 56, 10, 63, 17, 71, 25, 79, 33, 87, 41, 91, 45, 83, 37, 75, 29, 67, 21, 59, 13, 51, 5, 47)(3, 55, 9, 64, 18, 72, 26, 80, 34, 88, 42, 92, 46, 86, 40, 78, 32, 70, 24, 62, 16, 54, 8, 50, 4, 57, 11, 65, 19, 73, 27, 81, 35, 89, 43, 85, 39, 77, 31, 69, 23, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 10)(11, 20)(13, 18)(14, 23)(16, 17)(19, 28)(21, 26)(22, 31)(24, 25)(27, 36)(29, 34)(30, 39)(32, 33)(35, 44)(37, 42)(38, 43)(40, 41)(45, 46)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 58)(59, 65)(60, 70)(61, 71)(64, 66)(67, 73)(68, 78)(69, 79)(72, 74)(75, 81)(76, 86)(77, 87)(80, 82)(83, 89)(84, 92)(85, 91)(88, 90)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.690
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.688 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2, Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y1^4 * Y3 * Y1^-3 * Y2, (Y2 * Y1 * Y3)^23 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 72, 26, 80, 34, 66, 20, 56, 10, 63, 17, 75, 29, 86, 40, 91, 45, 92, 46, 89, 43, 82, 36, 69, 23, 58, 12, 64, 18, 76, 30, 84, 38, 71, 25, 59, 13, 51, 5, 47)(3, 55, 9, 65, 19, 79, 33, 74, 28, 62, 16, 54, 8, 50, 4, 57, 11, 68, 22, 83, 37, 90, 44, 87, 41, 78, 32, 70, 24, 77, 31, 67, 21, 81, 35, 88, 42, 85, 39, 73, 27, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 36)(24, 29)(25, 33)(26, 39)(28, 38)(32, 40)(34, 42)(37, 43)(41, 45)(44, 46)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 66)(58, 70)(59, 68)(60, 74)(61, 75)(64, 78)(65, 80)(67, 82)(69, 77)(71, 83)(72, 79)(73, 86)(76, 87)(81, 89)(84, 90)(85, 91)(88, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.691
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.689 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1)^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^2 * Y3, Y1^3 * Y2 * Y1^-4 * Y3 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 60, 14, 72, 26, 82, 36, 69, 23, 58, 12, 64, 18, 76, 30, 86, 40, 91, 45, 92, 46, 89, 43, 80, 34, 66, 20, 56, 10, 63, 17, 75, 29, 84, 38, 71, 25, 59, 13, 51, 5, 47)(3, 55, 9, 65, 19, 79, 33, 88, 42, 87, 41, 77, 31, 67, 21, 78, 32, 70, 24, 83, 37, 90, 44, 85, 39, 74, 28, 62, 16, 54, 8, 50, 4, 57, 11, 68, 22, 81, 35, 73, 27, 61, 15, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 32)(22, 36)(24, 34)(25, 33)(26, 35)(28, 40)(29, 41)(37, 43)(38, 42)(39, 45)(44, 46)(47, 50)(48, 54)(49, 56)(51, 57)(52, 62)(53, 63)(55, 66)(58, 70)(59, 68)(60, 74)(61, 75)(64, 78)(65, 80)(67, 76)(69, 83)(71, 81)(72, 85)(73, 84)(77, 86)(79, 89)(82, 90)(87, 91)(88, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.683
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.690 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^2 * Y3 * Y1^-1 * Y2, Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 48, 2, 52, 6, 56, 10, 61, 15, 66, 20, 68, 22, 73, 27, 78, 32, 80, 34, 85, 39, 90, 44, 92, 46, 88, 42, 83, 37, 81, 35, 76, 30, 71, 25, 69, 23, 64, 18, 58, 12, 59, 13, 51, 5, 47)(3, 55, 9, 54, 8, 50, 4, 57, 11, 63, 17, 65, 19, 70, 24, 75, 29, 77, 31, 82, 36, 87, 41, 89, 43, 91, 45, 86, 40, 84, 38, 79, 33, 74, 28, 72, 26, 67, 21, 62, 16, 60, 14, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 21)(17, 23)(19, 25)(20, 26)(22, 28)(24, 30)(27, 33)(29, 35)(31, 37)(32, 38)(34, 40)(36, 42)(39, 45)(41, 46)(43, 44)(47, 50)(48, 54)(49, 56)(51, 57)(52, 55)(53, 61)(58, 65)(59, 63)(60, 66)(62, 68)(64, 70)(67, 73)(69, 75)(71, 77)(72, 78)(74, 80)(76, 82)(79, 85)(81, 87)(83, 89)(84, 90)(86, 92)(88, 91)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.687
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.691 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: halfedge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y2 * Y1^-2 * Y3, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, 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 * 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, 48, 2, 52, 6, 58, 12, 61, 15, 66, 20, 71, 25, 73, 27, 78, 32, 83, 37, 85, 39, 90, 44, 92, 46, 87, 41, 82, 36, 80, 34, 75, 29, 70, 24, 68, 22, 63, 17, 56, 10, 59, 13, 51, 5, 47)(3, 55, 9, 62, 16, 64, 18, 69, 23, 74, 28, 76, 30, 81, 35, 86, 40, 88, 42, 91, 45, 89, 43, 84, 38, 79, 33, 77, 31, 72, 26, 67, 21, 65, 19, 60, 14, 54, 8, 50, 4, 57, 11, 53, 7, 49)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 11)(8, 15)(10, 18)(13, 16)(14, 20)(17, 23)(19, 25)(21, 27)(22, 28)(24, 30)(26, 32)(29, 35)(31, 37)(33, 39)(34, 40)(36, 42)(38, 44)(41, 45)(43, 46)(47, 50)(48, 54)(49, 56)(51, 57)(52, 60)(53, 59)(55, 63)(58, 65)(61, 67)(62, 68)(64, 70)(66, 72)(69, 75)(71, 77)(73, 79)(74, 80)(76, 82)(78, 84)(81, 87)(83, 89)(85, 91)(86, 92)(88, 90)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.688
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.692 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|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, Y3^23 ]
Map::
	R = (1, 47, 3, 49, 7, 53, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54, 4, 50)(2, 48, 5, 51, 9, 55, 13, 59, 17, 63, 21, 67, 25, 71, 29, 75, 33, 79, 37, 83, 41, 87, 45, 91, 46, 92, 42, 88, 38, 84, 34, 80, 30, 76, 26, 72, 22, 68, 18, 64, 14, 60, 10, 56, 6, 52)(93, 94)(95, 98)(96, 97)(99, 102)(100, 101)(103, 106)(104, 105)(107, 110)(108, 109)(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, 140)(141, 144)(142, 143)(145, 148)(146, 147)(149, 152)(150, 151)(153, 156)(154, 155)(157, 160)(158, 159)(161, 164)(162, 163)(165, 168)(166, 167)(169, 172)(170, 171)(173, 176)(174, 175)(177, 180)(178, 179)(181, 184)(182, 183)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.704
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.693 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y1 * Y3^-4 * Y2, Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 21, 67, 9, 55, 20, 66, 30, 76, 37, 83, 27, 73, 36, 82, 46, 92, 39, 85, 43, 89, 42, 88, 33, 79, 23, 69, 32, 78, 26, 72, 16, 62, 6, 52, 15, 61, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 25, 71, 14, 60, 24, 70, 34, 80, 41, 87, 31, 77, 40, 86, 45, 91, 35, 81, 44, 90, 38, 84, 29, 75, 19, 65, 28, 74, 22, 68, 11, 57, 3, 49, 10, 56, 18, 64, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 113)(103, 112)(104, 110)(105, 109)(107, 117)(108, 116)(111, 119)(114, 122)(115, 123)(118, 126)(120, 129)(121, 128)(124, 133)(125, 132)(127, 135)(130, 138)(131, 136)(134, 137)(139, 141)(140, 144)(142, 149)(143, 148)(145, 154)(146, 153)(147, 157)(150, 160)(151, 156)(152, 161)(155, 164)(158, 167)(159, 166)(162, 171)(163, 170)(165, 173)(168, 176)(169, 177)(172, 180)(174, 183)(175, 182)(178, 184)(179, 181)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.711
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.694 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y1 * Y3^4 * Y2, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^23 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 16, 62, 6, 52, 15, 61, 26, 72, 33, 79, 23, 69, 32, 78, 42, 88, 43, 89, 39, 85, 46, 92, 37, 83, 27, 73, 36, 82, 30, 76, 21, 67, 9, 55, 20, 66, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 11, 57, 3, 49, 10, 56, 22, 68, 29, 75, 19, 65, 28, 74, 38, 84, 45, 91, 35, 81, 44, 90, 41, 87, 31, 77, 40, 86, 34, 80, 25, 71, 14, 60, 24, 70, 18, 64, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 113)(103, 112)(104, 110)(105, 109)(107, 117)(108, 116)(111, 119)(114, 122)(115, 123)(118, 126)(120, 129)(121, 128)(124, 133)(125, 132)(127, 135)(130, 138)(131, 137)(134, 136)(139, 141)(140, 144)(142, 149)(143, 148)(145, 154)(146, 153)(147, 157)(150, 155)(151, 160)(152, 161)(156, 164)(158, 167)(159, 166)(162, 171)(163, 170)(165, 173)(168, 176)(169, 177)(172, 180)(174, 183)(175, 182)(178, 181)(179, 184)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.708
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.695 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, R * Y2 * R * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y3^5 * Y1 * Y3^-3 * Y2, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y3^4 * Y2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 24, 70, 36, 82, 45, 91, 33, 79, 21, 67, 9, 55, 20, 66, 32, 78, 44, 90, 40, 86, 28, 74, 16, 62, 6, 52, 15, 61, 27, 73, 39, 85, 37, 83, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 29, 75, 41, 87, 43, 89, 31, 77, 19, 65, 14, 60, 26, 72, 38, 84, 46, 92, 35, 81, 23, 69, 11, 57, 3, 49, 10, 56, 22, 68, 34, 80, 42, 88, 30, 76, 18, 64, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 113)(103, 112)(104, 110)(105, 109)(107, 111)(108, 118)(114, 125)(115, 124)(116, 122)(117, 121)(119, 123)(120, 130)(126, 137)(127, 136)(128, 134)(129, 133)(131, 135)(132, 138)(139, 141)(140, 144)(142, 149)(143, 148)(145, 154)(146, 153)(147, 157)(150, 161)(151, 160)(152, 159)(155, 166)(156, 165)(158, 169)(162, 173)(163, 172)(164, 171)(167, 178)(168, 177)(170, 181)(174, 184)(175, 180)(176, 183)(179, 182)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.710
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.696 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-5 * Y1 * Y3^3 * Y2, Y1 * Y3^-3 * Y2 * Y1 * Y3^-4 * Y2, (Y3 * Y1 * Y2)^23 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 24, 70, 36, 82, 40, 86, 28, 74, 16, 62, 6, 52, 15, 61, 27, 73, 39, 85, 45, 91, 33, 79, 21, 67, 9, 55, 20, 66, 32, 78, 44, 90, 37, 83, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 29, 75, 41, 87, 35, 81, 23, 69, 11, 57, 3, 49, 10, 56, 22, 68, 34, 80, 46, 92, 38, 84, 26, 72, 14, 60, 19, 65, 31, 77, 43, 89, 42, 88, 30, 76, 18, 64, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 113)(103, 112)(104, 110)(105, 109)(107, 118)(108, 111)(114, 125)(115, 124)(116, 122)(117, 121)(119, 130)(120, 123)(126, 137)(127, 136)(128, 134)(129, 133)(131, 138)(132, 135)(139, 141)(140, 144)(142, 149)(143, 148)(145, 154)(146, 153)(147, 157)(150, 161)(151, 160)(152, 158)(155, 166)(156, 165)(159, 169)(162, 173)(163, 172)(164, 170)(167, 178)(168, 177)(171, 181)(174, 179)(175, 184)(176, 182)(180, 183)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.706
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.697 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-9 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 20, 66, 28, 74, 36, 82, 44, 90, 38, 84, 30, 76, 22, 68, 14, 60, 6, 52, 9, 55, 17, 63, 25, 71, 33, 79, 41, 87, 45, 91, 37, 83, 29, 75, 21, 67, 13, 59, 5, 51)(2, 48, 7, 53, 15, 61, 23, 69, 31, 77, 39, 85, 43, 89, 35, 81, 27, 73, 19, 65, 11, 57, 3, 49, 10, 56, 18, 64, 26, 72, 34, 80, 42, 88, 46, 92, 40, 86, 32, 78, 24, 70, 16, 62, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 102)(103, 109)(104, 108)(105, 107)(106, 110)(111, 117)(112, 116)(113, 115)(114, 118)(119, 125)(120, 124)(121, 123)(122, 126)(127, 133)(128, 132)(129, 131)(130, 134)(135, 137)(136, 138)(139, 141)(140, 144)(142, 149)(143, 148)(145, 152)(146, 147)(150, 157)(151, 156)(153, 160)(154, 155)(158, 165)(159, 164)(161, 168)(162, 163)(166, 173)(167, 172)(169, 176)(170, 171)(174, 181)(175, 180)(177, 182)(178, 179)(183, 184)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.714
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.698 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y1 * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y1 * Y3^3)^2, Y3^5 * Y2 * Y1 * Y3^-4 * Y2 * Y1, Y3^-1 * Y2 * Y3^4 * Y1 * Y3^-6, Y3^3 * 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 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 20, 66, 28, 74, 36, 82, 44, 90, 41, 87, 33, 79, 25, 71, 17, 63, 9, 55, 6, 52, 14, 60, 22, 68, 30, 76, 38, 84, 45, 91, 37, 83, 29, 75, 21, 67, 13, 59, 5, 51)(2, 48, 7, 53, 15, 61, 23, 69, 31, 77, 39, 85, 46, 92, 43, 89, 35, 81, 27, 73, 19, 65, 11, 57, 3, 49, 10, 56, 18, 64, 26, 72, 34, 80, 42, 88, 40, 86, 32, 78, 24, 70, 16, 62, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 103)(102, 109)(104, 108)(105, 107)(106, 111)(110, 117)(112, 116)(113, 115)(114, 119)(118, 125)(120, 124)(121, 123)(122, 127)(126, 133)(128, 132)(129, 131)(130, 135)(134, 136)(137, 138)(139, 141)(140, 144)(142, 149)(143, 148)(145, 147)(146, 152)(150, 157)(151, 156)(153, 155)(154, 160)(158, 165)(159, 164)(161, 163)(162, 168)(166, 173)(167, 172)(169, 171)(170, 176)(174, 181)(175, 180)(177, 179)(178, 183)(182, 184)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.707
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.699 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^6, (Y3 * Y1 * Y2)^23 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 24, 70, 37, 83, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 41, 87, 46, 92, 45, 91, 39, 85, 26, 72, 21, 67, 9, 55, 20, 66, 34, 80, 38, 84, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 31, 77, 36, 82, 23, 69, 11, 57, 3, 49, 10, 56, 22, 68, 35, 81, 44, 90, 43, 89, 33, 79, 19, 65, 28, 74, 14, 60, 27, 73, 40, 86, 42, 88, 32, 78, 18, 64, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 113)(103, 112)(104, 110)(105, 109)(107, 120)(108, 119)(111, 121)(114, 118)(115, 126)(116, 124)(117, 123)(122, 132)(125, 133)(127, 131)(128, 130)(129, 134)(135, 138)(136, 137)(139, 141)(140, 144)(142, 149)(143, 148)(145, 154)(146, 153)(147, 157)(150, 161)(151, 160)(152, 164)(155, 168)(156, 167)(158, 171)(159, 166)(162, 174)(163, 173)(165, 177)(169, 175)(170, 179)(172, 181)(176, 182)(178, 183)(180, 184)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.705
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.700 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y1 * Y3^-6, Y3 * Y1 * 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 * 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, 47, 4, 50, 12, 58, 24, 70, 37, 83, 34, 80, 21, 67, 9, 55, 20, 66, 26, 72, 39, 85, 45, 91, 46, 92, 41, 87, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 38, 84, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 31, 77, 42, 88, 40, 86, 28, 74, 14, 60, 27, 73, 19, 65, 33, 79, 43, 89, 44, 90, 36, 82, 23, 69, 11, 57, 3, 49, 10, 56, 22, 68, 35, 81, 32, 78, 18, 64, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 113)(103, 112)(104, 110)(105, 109)(107, 120)(108, 119)(111, 122)(114, 126)(115, 118)(116, 124)(117, 123)(121, 132)(125, 133)(127, 129)(128, 131)(130, 134)(135, 138)(136, 137)(139, 141)(140, 144)(142, 149)(143, 148)(145, 154)(146, 153)(147, 157)(150, 161)(151, 160)(152, 164)(155, 168)(156, 167)(158, 165)(159, 171)(162, 174)(163, 173)(166, 177)(169, 179)(170, 176)(172, 181)(175, 182)(178, 183)(180, 184)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.713
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.701 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-3 * Y1, Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * 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 * 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, 47, 4, 50, 12, 58, 6, 52, 15, 61, 22, 68, 20, 66, 27, 73, 34, 80, 32, 78, 39, 85, 46, 92, 44, 90, 42, 88, 35, 81, 37, 83, 30, 76, 23, 69, 25, 71, 18, 64, 9, 55, 13, 59, 5, 51)(2, 48, 7, 53, 11, 57, 3, 49, 10, 56, 19, 65, 17, 63, 24, 70, 31, 77, 29, 75, 36, 82, 43, 89, 41, 87, 45, 91, 38, 84, 40, 86, 33, 79, 26, 72, 28, 74, 21, 67, 14, 60, 16, 62, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 110)(103, 105)(104, 108)(107, 113)(109, 115)(111, 117)(112, 118)(114, 120)(116, 122)(119, 125)(121, 127)(123, 129)(124, 130)(126, 132)(128, 134)(131, 137)(133, 138)(135, 136)(139, 141)(140, 144)(142, 149)(143, 148)(145, 150)(146, 153)(147, 155)(151, 157)(152, 158)(154, 160)(156, 162)(159, 165)(161, 167)(163, 169)(164, 170)(166, 172)(168, 174)(171, 177)(173, 179)(175, 181)(176, 182)(178, 184)(180, 183)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.712
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.702 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y3^3 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 47, 4, 50, 12, 58, 9, 55, 18, 64, 25, 71, 23, 69, 30, 76, 37, 83, 35, 81, 42, 88, 44, 90, 46, 92, 39, 85, 32, 78, 34, 80, 27, 73, 20, 66, 22, 68, 15, 61, 6, 52, 13, 59, 5, 51)(2, 48, 7, 53, 16, 62, 14, 60, 21, 67, 28, 74, 26, 72, 33, 79, 40, 86, 38, 84, 45, 91, 41, 87, 43, 89, 36, 82, 29, 75, 31, 77, 24, 70, 17, 63, 19, 65, 11, 57, 3, 49, 10, 56, 8, 54)(93, 94)(95, 101)(96, 100)(97, 99)(98, 106)(102, 104)(103, 110)(105, 108)(107, 113)(109, 115)(111, 117)(112, 118)(114, 120)(116, 122)(119, 125)(121, 127)(123, 129)(124, 130)(126, 132)(128, 134)(131, 137)(133, 138)(135, 136)(139, 141)(140, 144)(142, 149)(143, 148)(145, 153)(146, 151)(147, 155)(150, 157)(152, 158)(154, 160)(156, 162)(159, 165)(161, 167)(163, 169)(164, 170)(166, 172)(168, 174)(171, 177)(173, 179)(175, 181)(176, 182)(178, 184)(180, 183)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.709
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.703 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 23, 23})
Quotient :: edge^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^23, Y2^23 ]
Map:: non-degenerate
	R = (1, 47, 4, 50)(2, 48, 6, 52)(3, 49, 8, 54)(5, 51, 10, 56)(7, 53, 12, 58)(9, 55, 14, 60)(11, 57, 16, 62)(13, 59, 18, 64)(15, 61, 20, 66)(17, 63, 22, 68)(19, 65, 24, 70)(21, 67, 26, 72)(23, 69, 28, 74)(25, 71, 30, 76)(27, 73, 32, 78)(29, 75, 34, 80)(31, 77, 36, 82)(33, 79, 38, 84)(35, 81, 40, 86)(37, 83, 42, 88)(39, 85, 44, 90)(41, 87, 45, 91)(43, 89, 46, 92)(93, 94, 97, 101, 105, 109, 113, 117, 121, 125, 129, 133, 135, 131, 127, 123, 119, 115, 111, 107, 103, 99, 95)(96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 138, 137, 134, 130, 126, 122, 118, 114, 110, 106, 102, 98)(139, 141, 145, 149, 153, 157, 161, 165, 169, 173, 177, 181, 179, 175, 171, 167, 163, 159, 155, 151, 147, 143, 140)(142, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 183, 184, 182, 178, 174, 170, 166, 162, 158, 154, 150, 146)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 8^4 ), ( 8^23 ) }
Outer automorphisms :: reflexible
Dual of E22.715
Graph:: simple bipartite
	v = 27 e = 92 f = 23
	degree seq :: [ 4^23, 23^4 ]

E22.704 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|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, Y3^23 ]
Map::
	R = (1, 47, 93, 139, 3, 49, 95, 141, 7, 53, 99, 145, 11, 57, 103, 149, 15, 61, 107, 153, 19, 65, 111, 157, 23, 69, 115, 161, 27, 73, 119, 165, 31, 77, 123, 169, 35, 81, 127, 173, 39, 85, 131, 177, 43, 89, 135, 181, 44, 90, 136, 182, 40, 86, 132, 178, 36, 82, 128, 174, 32, 78, 124, 170, 28, 74, 120, 166, 24, 70, 116, 162, 20, 66, 112, 158, 16, 62, 108, 154, 12, 58, 104, 150, 8, 54, 100, 146, 4, 50, 96, 142)(2, 48, 94, 140, 5, 51, 97, 143, 9, 55, 101, 147, 13, 59, 105, 151, 17, 63, 109, 155, 21, 67, 113, 159, 25, 71, 117, 163, 29, 75, 121, 167, 33, 79, 125, 171, 37, 83, 129, 175, 41, 87, 133, 179, 45, 91, 137, 183, 46, 92, 138, 184, 42, 88, 134, 180, 38, 84, 130, 176, 34, 80, 126, 172, 30, 76, 122, 168, 26, 72, 118, 164, 22, 68, 114, 160, 18, 64, 110, 156, 14, 60, 106, 152, 10, 56, 102, 148, 6, 52, 98, 144)
	L = (1, 48)(2, 47)(3, 52)(4, 51)(5, 50)(6, 49)(7, 56)(8, 55)(9, 54)(10, 53)(11, 60)(12, 59)(13, 58)(14, 57)(15, 64)(16, 63)(17, 62)(18, 61)(19, 68)(20, 67)(21, 66)(22, 65)(23, 72)(24, 71)(25, 70)(26, 69)(27, 76)(28, 75)(29, 74)(30, 73)(31, 80)(32, 79)(33, 78)(34, 77)(35, 84)(36, 83)(37, 82)(38, 81)(39, 88)(40, 87)(41, 86)(42, 85)(43, 92)(44, 91)(45, 90)(46, 89)(93, 140)(94, 139)(95, 144)(96, 143)(97, 142)(98, 141)(99, 148)(100, 147)(101, 146)(102, 145)(103, 152)(104, 151)(105, 150)(106, 149)(107, 156)(108, 155)(109, 154)(110, 153)(111, 160)(112, 159)(113, 158)(114, 157)(115, 164)(116, 163)(117, 162)(118, 161)(119, 168)(120, 167)(121, 166)(122, 165)(123, 172)(124, 171)(125, 170)(126, 169)(127, 176)(128, 175)(129, 174)(130, 173)(131, 180)(132, 179)(133, 178)(134, 177)(135, 184)(136, 183)(137, 182)(138, 181)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.692
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.705 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, Y1 * Y3^-4 * Y2, Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y3^2 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 21, 67, 113, 159, 9, 55, 101, 147, 20, 66, 112, 158, 30, 76, 122, 168, 37, 83, 129, 175, 27, 73, 119, 165, 36, 82, 128, 174, 46, 92, 138, 184, 39, 85, 131, 177, 43, 89, 135, 181, 42, 88, 134, 180, 33, 79, 125, 171, 23, 69, 115, 161, 32, 78, 124, 170, 26, 72, 118, 164, 16, 62, 108, 154, 6, 52, 98, 144, 15, 61, 107, 153, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 17, 63, 109, 155, 25, 71, 117, 163, 14, 60, 106, 152, 24, 70, 116, 162, 34, 80, 126, 172, 41, 87, 133, 179, 31, 77, 123, 169, 40, 86, 132, 178, 45, 91, 137, 183, 35, 81, 127, 173, 44, 90, 136, 182, 38, 84, 130, 176, 29, 75, 121, 167, 19, 65, 111, 157, 28, 74, 120, 166, 22, 68, 114, 160, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 18, 64, 110, 156, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 67)(11, 66)(12, 64)(13, 63)(14, 52)(15, 71)(16, 70)(17, 59)(18, 58)(19, 73)(20, 57)(21, 56)(22, 76)(23, 77)(24, 62)(25, 61)(26, 80)(27, 65)(28, 83)(29, 82)(30, 68)(31, 69)(32, 87)(33, 86)(34, 72)(35, 89)(36, 75)(37, 74)(38, 92)(39, 90)(40, 79)(41, 78)(42, 91)(43, 81)(44, 85)(45, 88)(46, 84)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 154)(100, 153)(101, 157)(102, 143)(103, 142)(104, 160)(105, 156)(106, 161)(107, 146)(108, 145)(109, 164)(110, 151)(111, 147)(112, 167)(113, 166)(114, 150)(115, 152)(116, 171)(117, 170)(118, 155)(119, 173)(120, 159)(121, 158)(122, 176)(123, 177)(124, 163)(125, 162)(126, 180)(127, 165)(128, 183)(129, 182)(130, 168)(131, 169)(132, 184)(133, 181)(134, 172)(135, 179)(136, 175)(137, 174)(138, 178)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.699
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.706 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, Y1 * Y3^4 * Y2, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y2)^23 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 16, 62, 108, 154, 6, 52, 98, 144, 15, 61, 107, 153, 26, 72, 118, 164, 33, 79, 125, 171, 23, 69, 115, 161, 32, 78, 124, 170, 42, 88, 134, 180, 43, 89, 135, 181, 39, 85, 131, 177, 46, 92, 138, 184, 37, 83, 129, 175, 27, 73, 119, 165, 36, 82, 128, 174, 30, 76, 122, 168, 21, 67, 113, 159, 9, 55, 101, 147, 20, 66, 112, 158, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 17, 63, 109, 155, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 22, 68, 114, 160, 29, 75, 121, 167, 19, 65, 111, 157, 28, 74, 120, 166, 38, 84, 130, 176, 45, 91, 137, 183, 35, 81, 127, 173, 44, 90, 136, 182, 41, 87, 133, 179, 31, 77, 123, 169, 40, 86, 132, 178, 34, 80, 126, 172, 25, 71, 117, 163, 14, 60, 106, 152, 24, 70, 116, 162, 18, 64, 110, 156, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 67)(11, 66)(12, 64)(13, 63)(14, 52)(15, 71)(16, 70)(17, 59)(18, 58)(19, 73)(20, 57)(21, 56)(22, 76)(23, 77)(24, 62)(25, 61)(26, 80)(27, 65)(28, 83)(29, 82)(30, 68)(31, 69)(32, 87)(33, 86)(34, 72)(35, 89)(36, 75)(37, 74)(38, 92)(39, 91)(40, 79)(41, 78)(42, 90)(43, 81)(44, 88)(45, 85)(46, 84)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 154)(100, 153)(101, 157)(102, 143)(103, 142)(104, 155)(105, 160)(106, 161)(107, 146)(108, 145)(109, 150)(110, 164)(111, 147)(112, 167)(113, 166)(114, 151)(115, 152)(116, 171)(117, 170)(118, 156)(119, 173)(120, 159)(121, 158)(122, 176)(123, 177)(124, 163)(125, 162)(126, 180)(127, 165)(128, 183)(129, 182)(130, 168)(131, 169)(132, 181)(133, 184)(134, 172)(135, 178)(136, 175)(137, 174)(138, 179)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.696
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.707 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, R * Y2 * R * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1, Y3^5 * Y1 * Y3^-3 * Y2, Y1 * Y3 * Y2 * Y3^-2 * Y1 * Y3^4 * Y2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 24, 70, 116, 162, 36, 82, 128, 174, 45, 91, 137, 183, 33, 79, 125, 171, 21, 67, 113, 159, 9, 55, 101, 147, 20, 66, 112, 158, 32, 78, 124, 170, 44, 90, 136, 182, 40, 86, 132, 178, 28, 74, 120, 166, 16, 62, 108, 154, 6, 52, 98, 144, 15, 61, 107, 153, 27, 73, 119, 165, 39, 85, 131, 177, 37, 83, 129, 175, 25, 71, 117, 163, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 17, 63, 109, 155, 29, 75, 121, 167, 41, 87, 133, 179, 43, 89, 135, 181, 31, 77, 123, 169, 19, 65, 111, 157, 14, 60, 106, 152, 26, 72, 118, 164, 38, 84, 130, 176, 46, 92, 138, 184, 35, 81, 127, 173, 23, 69, 115, 161, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 22, 68, 114, 160, 34, 80, 126, 172, 42, 88, 134, 180, 30, 76, 122, 168, 18, 64, 110, 156, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 67)(11, 66)(12, 64)(13, 63)(14, 52)(15, 65)(16, 72)(17, 59)(18, 58)(19, 61)(20, 57)(21, 56)(22, 79)(23, 78)(24, 76)(25, 75)(26, 62)(27, 77)(28, 84)(29, 71)(30, 70)(31, 73)(32, 69)(33, 68)(34, 91)(35, 90)(36, 88)(37, 87)(38, 74)(39, 89)(40, 92)(41, 83)(42, 82)(43, 85)(44, 81)(45, 80)(46, 86)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 154)(100, 153)(101, 157)(102, 143)(103, 142)(104, 161)(105, 160)(106, 159)(107, 146)(108, 145)(109, 166)(110, 165)(111, 147)(112, 169)(113, 152)(114, 151)(115, 150)(116, 173)(117, 172)(118, 171)(119, 156)(120, 155)(121, 178)(122, 177)(123, 158)(124, 181)(125, 164)(126, 163)(127, 162)(128, 184)(129, 180)(130, 183)(131, 168)(132, 167)(133, 182)(134, 175)(135, 170)(136, 179)(137, 176)(138, 174)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.698
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.708 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3^-5 * Y1 * Y3^3 * Y2, Y1 * Y3^-3 * Y2 * Y1 * Y3^-4 * Y2, (Y3 * Y1 * Y2)^23 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 24, 70, 116, 162, 36, 82, 128, 174, 40, 86, 132, 178, 28, 74, 120, 166, 16, 62, 108, 154, 6, 52, 98, 144, 15, 61, 107, 153, 27, 73, 119, 165, 39, 85, 131, 177, 45, 91, 137, 183, 33, 79, 125, 171, 21, 67, 113, 159, 9, 55, 101, 147, 20, 66, 112, 158, 32, 78, 124, 170, 44, 90, 136, 182, 37, 83, 129, 175, 25, 71, 117, 163, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 17, 63, 109, 155, 29, 75, 121, 167, 41, 87, 133, 179, 35, 81, 127, 173, 23, 69, 115, 161, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 22, 68, 114, 160, 34, 80, 126, 172, 46, 92, 138, 184, 38, 84, 130, 176, 26, 72, 118, 164, 14, 60, 106, 152, 19, 65, 111, 157, 31, 77, 123, 169, 43, 89, 135, 181, 42, 88, 134, 180, 30, 76, 122, 168, 18, 64, 110, 156, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 67)(11, 66)(12, 64)(13, 63)(14, 52)(15, 72)(16, 65)(17, 59)(18, 58)(19, 62)(20, 57)(21, 56)(22, 79)(23, 78)(24, 76)(25, 75)(26, 61)(27, 84)(28, 77)(29, 71)(30, 70)(31, 74)(32, 69)(33, 68)(34, 91)(35, 90)(36, 88)(37, 87)(38, 73)(39, 92)(40, 89)(41, 83)(42, 82)(43, 86)(44, 81)(45, 80)(46, 85)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 154)(100, 153)(101, 157)(102, 143)(103, 142)(104, 161)(105, 160)(106, 158)(107, 146)(108, 145)(109, 166)(110, 165)(111, 147)(112, 152)(113, 169)(114, 151)(115, 150)(116, 173)(117, 172)(118, 170)(119, 156)(120, 155)(121, 178)(122, 177)(123, 159)(124, 164)(125, 181)(126, 163)(127, 162)(128, 179)(129, 184)(130, 182)(131, 168)(132, 167)(133, 174)(134, 183)(135, 171)(136, 176)(137, 180)(138, 175)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.694
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.709 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-9 * Y1 * Y3^2 * Y2 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 20, 66, 112, 158, 28, 74, 120, 166, 36, 82, 128, 174, 44, 90, 136, 182, 38, 84, 130, 176, 30, 76, 122, 168, 22, 68, 114, 160, 14, 60, 106, 152, 6, 52, 98, 144, 9, 55, 101, 147, 17, 63, 109, 155, 25, 71, 117, 163, 33, 79, 125, 171, 41, 87, 133, 179, 45, 91, 137, 183, 37, 83, 129, 175, 29, 75, 121, 167, 21, 67, 113, 159, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 15, 61, 107, 153, 23, 69, 115, 161, 31, 77, 123, 169, 39, 85, 131, 177, 43, 89, 135, 181, 35, 81, 127, 173, 27, 73, 119, 165, 19, 65, 111, 157, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 18, 64, 110, 156, 26, 72, 118, 164, 34, 80, 126, 172, 42, 88, 134, 180, 46, 92, 138, 184, 40, 86, 132, 178, 32, 78, 124, 170, 24, 70, 116, 162, 16, 62, 108, 154, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 56)(7, 51)(8, 50)(9, 49)(10, 52)(11, 63)(12, 62)(13, 61)(14, 64)(15, 59)(16, 58)(17, 57)(18, 60)(19, 71)(20, 70)(21, 69)(22, 72)(23, 67)(24, 66)(25, 65)(26, 68)(27, 79)(28, 78)(29, 77)(30, 80)(31, 75)(32, 74)(33, 73)(34, 76)(35, 87)(36, 86)(37, 85)(38, 88)(39, 83)(40, 82)(41, 81)(42, 84)(43, 91)(44, 92)(45, 89)(46, 90)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 152)(100, 147)(101, 146)(102, 143)(103, 142)(104, 157)(105, 156)(106, 145)(107, 160)(108, 155)(109, 154)(110, 151)(111, 150)(112, 165)(113, 164)(114, 153)(115, 168)(116, 163)(117, 162)(118, 159)(119, 158)(120, 173)(121, 172)(122, 161)(123, 176)(124, 171)(125, 170)(126, 167)(127, 166)(128, 181)(129, 180)(130, 169)(131, 182)(132, 179)(133, 178)(134, 175)(135, 174)(136, 177)(137, 184)(138, 183)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.702
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.710 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y1 * Y3)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1, (Y1 * Y3^3)^2, Y3^5 * Y2 * Y1 * Y3^-4 * Y2 * Y1, Y3^-1 * Y2 * Y3^4 * Y1 * Y3^-6, Y3^3 * 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 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 20, 66, 112, 158, 28, 74, 120, 166, 36, 82, 128, 174, 44, 90, 136, 182, 41, 87, 133, 179, 33, 79, 125, 171, 25, 71, 117, 163, 17, 63, 109, 155, 9, 55, 101, 147, 6, 52, 98, 144, 14, 60, 106, 152, 22, 68, 114, 160, 30, 76, 122, 168, 38, 84, 130, 176, 45, 91, 137, 183, 37, 83, 129, 175, 29, 75, 121, 167, 21, 67, 113, 159, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 15, 61, 107, 153, 23, 69, 115, 161, 31, 77, 123, 169, 39, 85, 131, 177, 46, 92, 138, 184, 43, 89, 135, 181, 35, 81, 127, 173, 27, 73, 119, 165, 19, 65, 111, 157, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 18, 64, 110, 156, 26, 72, 118, 164, 34, 80, 126, 172, 42, 88, 134, 180, 40, 86, 132, 178, 32, 78, 124, 170, 24, 70, 116, 162, 16, 62, 108, 154, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 57)(7, 51)(8, 50)(9, 49)(10, 63)(11, 52)(12, 62)(13, 61)(14, 65)(15, 59)(16, 58)(17, 56)(18, 71)(19, 60)(20, 70)(21, 69)(22, 73)(23, 67)(24, 66)(25, 64)(26, 79)(27, 68)(28, 78)(29, 77)(30, 81)(31, 75)(32, 74)(33, 72)(34, 87)(35, 76)(36, 86)(37, 85)(38, 89)(39, 83)(40, 82)(41, 80)(42, 90)(43, 84)(44, 88)(45, 92)(46, 91)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 147)(100, 152)(101, 145)(102, 143)(103, 142)(104, 157)(105, 156)(106, 146)(107, 155)(108, 160)(109, 153)(110, 151)(111, 150)(112, 165)(113, 164)(114, 154)(115, 163)(116, 168)(117, 161)(118, 159)(119, 158)(120, 173)(121, 172)(122, 162)(123, 171)(124, 176)(125, 169)(126, 167)(127, 166)(128, 181)(129, 180)(130, 170)(131, 179)(132, 183)(133, 177)(134, 175)(135, 174)(136, 184)(137, 178)(138, 182)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.695
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.711 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y3^6, (Y3 * Y1 * Y2)^23 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 24, 70, 116, 162, 37, 83, 129, 175, 30, 76, 122, 168, 16, 62, 108, 154, 6, 52, 98, 144, 15, 61, 107, 153, 29, 75, 121, 167, 41, 87, 133, 179, 46, 92, 138, 184, 45, 91, 137, 183, 39, 85, 131, 177, 26, 72, 118, 164, 21, 67, 113, 159, 9, 55, 101, 147, 20, 66, 112, 158, 34, 80, 126, 172, 38, 84, 130, 176, 25, 71, 117, 163, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 17, 63, 109, 155, 31, 77, 123, 169, 36, 82, 128, 174, 23, 69, 115, 161, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 22, 68, 114, 160, 35, 81, 127, 173, 44, 90, 136, 182, 43, 89, 135, 181, 33, 79, 125, 171, 19, 65, 111, 157, 28, 74, 120, 166, 14, 60, 106, 152, 27, 73, 119, 165, 40, 86, 132, 178, 42, 88, 134, 180, 32, 78, 124, 170, 18, 64, 110, 156, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 67)(11, 66)(12, 64)(13, 63)(14, 52)(15, 74)(16, 73)(17, 59)(18, 58)(19, 75)(20, 57)(21, 56)(22, 72)(23, 80)(24, 78)(25, 77)(26, 68)(27, 62)(28, 61)(29, 65)(30, 86)(31, 71)(32, 70)(33, 87)(34, 69)(35, 85)(36, 84)(37, 88)(38, 82)(39, 81)(40, 76)(41, 79)(42, 83)(43, 92)(44, 91)(45, 90)(46, 89)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 154)(100, 153)(101, 157)(102, 143)(103, 142)(104, 161)(105, 160)(106, 164)(107, 146)(108, 145)(109, 168)(110, 167)(111, 147)(112, 171)(113, 166)(114, 151)(115, 150)(116, 174)(117, 173)(118, 152)(119, 177)(120, 159)(121, 156)(122, 155)(123, 175)(124, 179)(125, 158)(126, 181)(127, 163)(128, 162)(129, 169)(130, 182)(131, 165)(132, 183)(133, 170)(134, 184)(135, 172)(136, 176)(137, 178)(138, 180)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.693
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.712 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y1 * Y3^-6, Y3 * Y1 * 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 * 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, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 24, 70, 116, 162, 37, 83, 129, 175, 34, 80, 126, 172, 21, 67, 113, 159, 9, 55, 101, 147, 20, 66, 112, 158, 26, 72, 118, 164, 39, 85, 131, 177, 45, 91, 137, 183, 46, 92, 138, 184, 41, 87, 133, 179, 30, 76, 122, 168, 16, 62, 108, 154, 6, 52, 98, 144, 15, 61, 107, 153, 29, 75, 121, 167, 38, 84, 130, 176, 25, 71, 117, 163, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 17, 63, 109, 155, 31, 77, 123, 169, 42, 88, 134, 180, 40, 86, 132, 178, 28, 74, 120, 166, 14, 60, 106, 152, 27, 73, 119, 165, 19, 65, 111, 157, 33, 79, 125, 171, 43, 89, 135, 181, 44, 90, 136, 182, 36, 82, 128, 174, 23, 69, 115, 161, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 22, 68, 114, 160, 35, 81, 127, 173, 32, 78, 124, 170, 18, 64, 110, 156, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 67)(11, 66)(12, 64)(13, 63)(14, 52)(15, 74)(16, 73)(17, 59)(18, 58)(19, 76)(20, 57)(21, 56)(22, 80)(23, 72)(24, 78)(25, 77)(26, 69)(27, 62)(28, 61)(29, 86)(30, 65)(31, 71)(32, 70)(33, 87)(34, 68)(35, 83)(36, 85)(37, 81)(38, 88)(39, 82)(40, 75)(41, 79)(42, 84)(43, 92)(44, 91)(45, 90)(46, 89)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 154)(100, 153)(101, 157)(102, 143)(103, 142)(104, 161)(105, 160)(106, 164)(107, 146)(108, 145)(109, 168)(110, 167)(111, 147)(112, 165)(113, 171)(114, 151)(115, 150)(116, 174)(117, 173)(118, 152)(119, 158)(120, 177)(121, 156)(122, 155)(123, 179)(124, 176)(125, 159)(126, 181)(127, 163)(128, 162)(129, 182)(130, 170)(131, 166)(132, 183)(133, 169)(134, 184)(135, 172)(136, 175)(137, 178)(138, 180)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.701
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.713 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y2 * Y3^-3 * Y1, Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * 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 * 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, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 6, 52, 98, 144, 15, 61, 107, 153, 22, 68, 114, 160, 20, 66, 112, 158, 27, 73, 119, 165, 34, 80, 126, 172, 32, 78, 124, 170, 39, 85, 131, 177, 46, 92, 138, 184, 44, 90, 136, 182, 42, 88, 134, 180, 35, 81, 127, 173, 37, 83, 129, 175, 30, 76, 122, 168, 23, 69, 115, 161, 25, 71, 117, 163, 18, 64, 110, 156, 9, 55, 101, 147, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 19, 65, 111, 157, 17, 63, 109, 155, 24, 70, 116, 162, 31, 77, 123, 169, 29, 75, 121, 167, 36, 82, 128, 174, 43, 89, 135, 181, 41, 87, 133, 179, 45, 91, 137, 183, 38, 84, 130, 176, 40, 86, 132, 178, 33, 79, 125, 171, 26, 72, 118, 164, 28, 74, 120, 166, 21, 67, 113, 159, 14, 60, 106, 152, 16, 62, 108, 154, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 64)(11, 59)(12, 62)(13, 57)(14, 52)(15, 67)(16, 58)(17, 69)(18, 56)(19, 71)(20, 72)(21, 61)(22, 74)(23, 63)(24, 76)(25, 65)(26, 66)(27, 79)(28, 68)(29, 81)(30, 70)(31, 83)(32, 84)(33, 73)(34, 86)(35, 75)(36, 88)(37, 77)(38, 78)(39, 91)(40, 80)(41, 92)(42, 82)(43, 90)(44, 89)(45, 85)(46, 87)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 150)(100, 153)(101, 155)(102, 143)(103, 142)(104, 145)(105, 157)(106, 158)(107, 146)(108, 160)(109, 147)(110, 162)(111, 151)(112, 152)(113, 165)(114, 154)(115, 167)(116, 156)(117, 169)(118, 170)(119, 159)(120, 172)(121, 161)(122, 174)(123, 163)(124, 164)(125, 177)(126, 166)(127, 179)(128, 168)(129, 181)(130, 182)(131, 171)(132, 184)(133, 173)(134, 183)(135, 175)(136, 176)(137, 180)(138, 178)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.700
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.714 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y3^3 * Y1, Y2 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 47, 93, 139, 4, 50, 96, 142, 12, 58, 104, 150, 9, 55, 101, 147, 18, 64, 110, 156, 25, 71, 117, 163, 23, 69, 115, 161, 30, 76, 122, 168, 37, 83, 129, 175, 35, 81, 127, 173, 42, 88, 134, 180, 44, 90, 136, 182, 46, 92, 138, 184, 39, 85, 131, 177, 32, 78, 124, 170, 34, 80, 126, 172, 27, 73, 119, 165, 20, 66, 112, 158, 22, 68, 114, 160, 15, 61, 107, 153, 6, 52, 98, 144, 13, 59, 105, 151, 5, 51, 97, 143)(2, 48, 94, 140, 7, 53, 99, 145, 16, 62, 108, 154, 14, 60, 106, 152, 21, 67, 113, 159, 28, 74, 120, 166, 26, 72, 118, 164, 33, 79, 125, 171, 40, 86, 132, 178, 38, 84, 130, 176, 45, 91, 137, 183, 41, 87, 133, 179, 43, 89, 135, 181, 36, 82, 128, 174, 29, 75, 121, 167, 31, 77, 123, 169, 24, 70, 116, 162, 17, 63, 109, 155, 19, 65, 111, 157, 11, 57, 103, 149, 3, 49, 95, 141, 10, 56, 102, 148, 8, 54, 100, 146)
	L = (1, 48)(2, 47)(3, 55)(4, 54)(5, 53)(6, 60)(7, 51)(8, 50)(9, 49)(10, 58)(11, 64)(12, 56)(13, 62)(14, 52)(15, 67)(16, 59)(17, 69)(18, 57)(19, 71)(20, 72)(21, 61)(22, 74)(23, 63)(24, 76)(25, 65)(26, 66)(27, 79)(28, 68)(29, 81)(30, 70)(31, 83)(32, 84)(33, 73)(34, 86)(35, 75)(36, 88)(37, 77)(38, 78)(39, 91)(40, 80)(41, 92)(42, 82)(43, 90)(44, 89)(45, 85)(46, 87)(93, 141)(94, 144)(95, 139)(96, 149)(97, 148)(98, 140)(99, 153)(100, 151)(101, 155)(102, 143)(103, 142)(104, 157)(105, 146)(106, 158)(107, 145)(108, 160)(109, 147)(110, 162)(111, 150)(112, 152)(113, 165)(114, 154)(115, 167)(116, 156)(117, 169)(118, 170)(119, 159)(120, 172)(121, 161)(122, 174)(123, 163)(124, 164)(125, 177)(126, 166)(127, 179)(128, 168)(129, 181)(130, 182)(131, 171)(132, 184)(133, 173)(134, 183)(135, 175)(136, 176)(137, 180)(138, 178)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.697
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.715 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 23, 23})
Quotient :: loop^2
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y1^-1, Y1^23, Y2^23 ]
Map:: non-degenerate
	R = (1, 47, 93, 139, 4, 50, 96, 142)(2, 48, 94, 140, 6, 52, 98, 144)(3, 49, 95, 141, 8, 54, 100, 146)(5, 51, 97, 143, 10, 56, 102, 148)(7, 53, 99, 145, 12, 58, 104, 150)(9, 55, 101, 147, 14, 60, 106, 152)(11, 57, 103, 149, 16, 62, 108, 154)(13, 59, 105, 151, 18, 64, 110, 156)(15, 61, 107, 153, 20, 66, 112, 158)(17, 63, 109, 155, 22, 68, 114, 160)(19, 65, 111, 157, 24, 70, 116, 162)(21, 67, 113, 159, 26, 72, 118, 164)(23, 69, 115, 161, 28, 74, 120, 166)(25, 71, 117, 163, 30, 76, 122, 168)(27, 73, 119, 165, 32, 78, 124, 170)(29, 75, 121, 167, 34, 80, 126, 172)(31, 77, 123, 169, 36, 82, 128, 174)(33, 79, 125, 171, 38, 84, 130, 176)(35, 81, 127, 173, 40, 86, 132, 178)(37, 83, 129, 175, 42, 88, 134, 180)(39, 85, 131, 177, 44, 90, 136, 182)(41, 87, 133, 179, 45, 91, 137, 183)(43, 89, 135, 181, 46, 92, 138, 184)
	L = (1, 48)(2, 51)(3, 47)(4, 54)(5, 55)(6, 50)(7, 49)(8, 58)(9, 59)(10, 52)(11, 53)(12, 62)(13, 63)(14, 56)(15, 57)(16, 66)(17, 67)(18, 60)(19, 61)(20, 70)(21, 71)(22, 64)(23, 65)(24, 74)(25, 75)(26, 68)(27, 69)(28, 78)(29, 79)(30, 72)(31, 73)(32, 82)(33, 83)(34, 76)(35, 77)(36, 86)(37, 87)(38, 80)(39, 81)(40, 90)(41, 89)(42, 84)(43, 85)(44, 92)(45, 88)(46, 91)(93, 141)(94, 139)(95, 145)(96, 144)(97, 140)(98, 148)(99, 149)(100, 142)(101, 143)(102, 152)(103, 153)(104, 146)(105, 147)(106, 156)(107, 157)(108, 150)(109, 151)(110, 160)(111, 161)(112, 154)(113, 155)(114, 164)(115, 165)(116, 158)(117, 159)(118, 168)(119, 169)(120, 162)(121, 163)(122, 172)(123, 173)(124, 166)(125, 167)(126, 176)(127, 177)(128, 170)(129, 171)(130, 180)(131, 181)(132, 174)(133, 175)(134, 183)(135, 179)(136, 178)(137, 184)(138, 182)
	local type(s) :: { ( 4, 23, 4, 23, 4, 23, 4, 23 ) }
Outer automorphisms :: reflexible
Dual of E22.703
Transitivity :: VT+
Graph::
	v = 23 e = 92 f = 27
	degree seq :: [ 8^23 ]

E22.716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48)(3, 49, 5, 51)(4, 50, 6, 52)(7, 53, 9, 55)(8, 54, 10, 56)(11, 57, 13, 59)(12, 58, 14, 60)(15, 61, 17, 63)(16, 62, 18, 64)(19, 65, 21, 67)(20, 66, 22, 68)(23, 69, 25, 71)(24, 70, 26, 72)(27, 73, 29, 75)(28, 74, 30, 76)(31, 77, 33, 79)(32, 78, 34, 80)(35, 81, 37, 83)(36, 82, 38, 84)(39, 85, 41, 87)(40, 86, 42, 88)(43, 89, 45, 91)(44, 90, 46, 92)(93, 139, 95, 141, 99, 145, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 136, 182, 132, 178, 128, 174, 124, 170, 120, 166, 116, 162, 112, 158, 108, 154, 104, 150, 100, 146, 96, 142)(94, 140, 97, 143, 101, 147, 105, 151, 109, 155, 113, 159, 117, 163, 121, 167, 125, 171, 129, 175, 133, 179, 137, 183, 138, 184, 134, 180, 130, 176, 126, 172, 122, 168, 118, 164, 114, 160, 110, 156, 106, 152, 102, 148, 98, 144)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^23, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48)(3, 49, 6, 52)(4, 50, 5, 51)(7, 53, 10, 56)(8, 54, 9, 55)(11, 57, 14, 60)(12, 58, 13, 59)(15, 61, 18, 64)(16, 62, 17, 63)(19, 65, 22, 68)(20, 66, 21, 67)(23, 69, 26, 72)(24, 70, 25, 71)(27, 73, 30, 76)(28, 74, 29, 75)(31, 77, 34, 80)(32, 78, 33, 79)(35, 81, 38, 84)(36, 82, 37, 83)(39, 85, 42, 88)(40, 86, 41, 87)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 99, 145, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 136, 182, 132, 178, 128, 174, 124, 170, 120, 166, 116, 162, 112, 158, 108, 154, 104, 150, 100, 146, 96, 142)(94, 140, 97, 143, 101, 147, 105, 151, 109, 155, 113, 159, 117, 163, 121, 167, 125, 171, 129, 175, 133, 179, 137, 183, 138, 184, 134, 180, 130, 176, 126, 172, 122, 168, 118, 164, 114, 160, 110, 156, 106, 152, 102, 148, 98, 144)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^23, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 6, 52)(4, 50, 5, 51)(7, 53, 10, 56)(8, 54, 9, 55)(11, 57, 14, 60)(12, 58, 13, 59)(15, 61, 18, 64)(16, 62, 17, 63)(19, 65, 22, 68)(20, 66, 21, 67)(23, 69, 26, 72)(24, 70, 25, 71)(27, 73, 30, 76)(28, 74, 29, 75)(31, 77, 34, 80)(32, 78, 33, 79)(35, 81, 38, 84)(36, 82, 37, 83)(39, 85, 42, 88)(40, 86, 41, 87)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 99, 145, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 136, 182, 132, 178, 128, 174, 124, 170, 120, 166, 116, 162, 112, 158, 108, 154, 104, 150, 100, 146, 96, 142)(94, 140, 97, 143, 101, 147, 105, 151, 109, 155, 113, 159, 117, 163, 121, 167, 125, 171, 129, 175, 133, 179, 137, 183, 138, 184, 134, 180, 130, 176, 126, 172, 122, 168, 118, 164, 114, 160, 110, 156, 106, 152, 102, 148, 98, 144)
	L = (1, 96)(2, 98)(3, 93)(4, 100)(5, 94)(6, 102)(7, 95)(8, 104)(9, 97)(10, 106)(11, 99)(12, 108)(13, 101)(14, 110)(15, 103)(16, 112)(17, 105)(18, 114)(19, 107)(20, 116)(21, 109)(22, 118)(23, 111)(24, 120)(25, 113)(26, 122)(27, 115)(28, 124)(29, 117)(30, 126)(31, 119)(32, 128)(33, 121)(34, 130)(35, 123)(36, 132)(37, 125)(38, 134)(39, 127)(40, 136)(41, 129)(42, 138)(43, 131)(44, 135)(45, 133)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.738
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|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, Y3^11 * Y2 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 17, 63)(12, 58, 18, 64)(13, 59, 15, 61)(14, 60, 16, 62)(19, 65, 25, 71)(20, 66, 26, 72)(21, 67, 23, 69)(22, 68, 24, 70)(27, 73, 33, 79)(28, 74, 34, 80)(29, 75, 31, 77)(30, 76, 32, 78)(35, 81, 41, 87)(36, 82, 42, 88)(37, 83, 39, 85)(38, 84, 40, 86)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 96, 142, 103, 149, 104, 150, 111, 157, 112, 158, 119, 165, 120, 166, 127, 173, 128, 174, 135, 181, 136, 182, 130, 176, 129, 175, 122, 168, 121, 167, 114, 160, 113, 159, 106, 152, 105, 151, 98, 144, 97, 143)(94, 140, 99, 145, 100, 146, 107, 153, 108, 154, 115, 161, 116, 162, 123, 169, 124, 170, 131, 177, 132, 178, 137, 183, 138, 184, 134, 180, 133, 179, 126, 172, 125, 171, 118, 164, 117, 163, 110, 156, 109, 155, 102, 148, 101, 147)
	L = (1, 96)(2, 100)(3, 103)(4, 104)(5, 95)(6, 93)(7, 107)(8, 108)(9, 99)(10, 94)(11, 111)(12, 112)(13, 97)(14, 98)(15, 115)(16, 116)(17, 101)(18, 102)(19, 119)(20, 120)(21, 105)(22, 106)(23, 123)(24, 124)(25, 109)(26, 110)(27, 127)(28, 128)(29, 113)(30, 114)(31, 131)(32, 132)(33, 117)(34, 118)(35, 135)(36, 136)(37, 121)(38, 122)(39, 137)(40, 138)(41, 125)(42, 126)(43, 130)(44, 129)(45, 134)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2 * Y3^-11, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 17, 63)(12, 58, 18, 64)(13, 59, 15, 61)(14, 60, 16, 62)(19, 65, 25, 71)(20, 66, 26, 72)(21, 67, 23, 69)(22, 68, 24, 70)(27, 73, 33, 79)(28, 74, 34, 80)(29, 75, 31, 77)(30, 76, 32, 78)(35, 81, 41, 87)(36, 82, 42, 88)(37, 83, 39, 85)(38, 84, 40, 86)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 98, 144, 103, 149, 106, 152, 111, 157, 114, 160, 119, 165, 122, 168, 127, 173, 130, 176, 135, 181, 136, 182, 128, 174, 129, 175, 120, 166, 121, 167, 112, 158, 113, 159, 104, 150, 105, 151, 96, 142, 97, 143)(94, 140, 99, 145, 102, 148, 107, 153, 110, 156, 115, 161, 118, 164, 123, 169, 126, 172, 131, 177, 134, 180, 137, 183, 138, 184, 132, 178, 133, 179, 124, 170, 125, 171, 116, 162, 117, 163, 108, 154, 109, 155, 100, 146, 101, 147)
	L = (1, 96)(2, 100)(3, 97)(4, 104)(5, 105)(6, 93)(7, 101)(8, 108)(9, 109)(10, 94)(11, 95)(12, 112)(13, 113)(14, 98)(15, 99)(16, 116)(17, 117)(18, 102)(19, 103)(20, 120)(21, 121)(22, 106)(23, 107)(24, 124)(25, 125)(26, 110)(27, 111)(28, 128)(29, 129)(30, 114)(31, 115)(32, 132)(33, 133)(34, 118)(35, 119)(36, 135)(37, 136)(38, 122)(39, 123)(40, 137)(41, 138)(42, 126)(43, 127)(44, 130)(45, 131)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.730
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^7 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 19, 65)(12, 58, 21, 67)(13, 59, 17, 63)(14, 60, 22, 68)(15, 61, 18, 64)(16, 62, 20, 66)(23, 69, 31, 77)(24, 70, 33, 79)(25, 71, 29, 75)(26, 72, 34, 80)(27, 73, 30, 76)(28, 74, 32, 78)(35, 81, 43, 89)(36, 82, 45, 91)(37, 83, 41, 87)(38, 84, 46, 92)(39, 85, 42, 88)(40, 86, 44, 90)(93, 139, 95, 141, 103, 149, 96, 142, 104, 150, 115, 161, 106, 152, 116, 162, 127, 173, 118, 164, 128, 174, 132, 178, 130, 176, 131, 177, 120, 166, 129, 175, 119, 165, 108, 154, 117, 163, 107, 153, 98, 144, 105, 151, 97, 143)(94, 140, 99, 145, 109, 155, 100, 146, 110, 156, 121, 167, 112, 158, 122, 168, 133, 179, 124, 170, 134, 180, 138, 184, 136, 182, 137, 183, 126, 172, 135, 181, 125, 171, 114, 160, 123, 169, 113, 159, 102, 148, 111, 157, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 103)(6, 93)(7, 110)(8, 112)(9, 109)(10, 94)(11, 115)(12, 116)(13, 95)(14, 118)(15, 97)(16, 98)(17, 121)(18, 122)(19, 99)(20, 124)(21, 101)(22, 102)(23, 127)(24, 128)(25, 105)(26, 130)(27, 107)(28, 108)(29, 133)(30, 134)(31, 111)(32, 136)(33, 113)(34, 114)(35, 132)(36, 131)(37, 117)(38, 129)(39, 119)(40, 120)(41, 138)(42, 137)(43, 123)(44, 135)(45, 125)(46, 126)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.736
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-3, (Y3, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^3 * Y2^2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-4, (Y2^-1 * Y3)^23 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 18, 64)(12, 58, 17, 63)(13, 59, 21, 67)(14, 60, 22, 68)(15, 61, 19, 65)(16, 62, 20, 66)(23, 69, 30, 76)(24, 70, 29, 75)(25, 71, 33, 79)(26, 72, 34, 80)(27, 73, 31, 77)(28, 74, 32, 78)(35, 81, 42, 88)(36, 82, 41, 87)(37, 83, 45, 91)(38, 84, 46, 92)(39, 85, 43, 89)(40, 86, 44, 90)(93, 139, 95, 141, 103, 149, 98, 144, 105, 151, 115, 161, 108, 154, 117, 163, 127, 173, 120, 166, 129, 175, 130, 176, 132, 178, 131, 177, 118, 164, 128, 174, 119, 165, 106, 152, 116, 162, 107, 153, 96, 142, 104, 150, 97, 143)(94, 140, 99, 145, 109, 155, 102, 148, 111, 157, 121, 167, 114, 160, 123, 169, 133, 179, 126, 172, 135, 181, 136, 182, 138, 184, 137, 183, 124, 170, 134, 180, 125, 171, 112, 158, 122, 168, 113, 159, 100, 146, 110, 156, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 110)(8, 112)(9, 113)(10, 94)(11, 97)(12, 116)(13, 95)(14, 118)(15, 119)(16, 98)(17, 101)(18, 122)(19, 99)(20, 124)(21, 125)(22, 102)(23, 103)(24, 128)(25, 105)(26, 130)(27, 131)(28, 108)(29, 109)(30, 134)(31, 111)(32, 136)(33, 137)(34, 114)(35, 115)(36, 132)(37, 117)(38, 127)(39, 129)(40, 120)(41, 121)(42, 138)(43, 123)(44, 133)(45, 135)(46, 126)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.726
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^4, Y3^-5 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 40, 86)(28, 74, 41, 87)(29, 75, 39, 85)(30, 76, 42, 88)(31, 77, 37, 83)(32, 78, 35, 81)(33, 79, 36, 82)(34, 80, 38, 84)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 103, 149, 107, 153, 96, 142, 104, 150, 119, 165, 123, 169, 106, 152, 120, 166, 135, 181, 126, 172, 122, 168, 136, 182, 125, 171, 110, 156, 121, 167, 124, 170, 109, 155, 98, 144, 105, 151, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 115, 161, 100, 146, 112, 158, 127, 173, 131, 177, 114, 160, 128, 174, 137, 183, 134, 180, 130, 176, 138, 184, 133, 179, 118, 164, 129, 175, 132, 178, 117, 163, 102, 148, 113, 159, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 119)(12, 120)(13, 95)(14, 122)(15, 123)(16, 103)(17, 97)(18, 98)(19, 127)(20, 128)(21, 99)(22, 130)(23, 131)(24, 111)(25, 101)(26, 102)(27, 135)(28, 136)(29, 105)(30, 121)(31, 126)(32, 108)(33, 109)(34, 110)(35, 137)(36, 138)(37, 113)(38, 129)(39, 134)(40, 116)(41, 117)(42, 118)(43, 125)(44, 124)(45, 133)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.733
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2^4, Y3^2 * Y2 * Y3^4, Y2^-1 * Y3 * Y2^-1 * Y3^3 * Y2^-1 * Y3, Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-4 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 40, 86)(28, 74, 41, 87)(29, 75, 39, 85)(30, 76, 42, 88)(31, 77, 37, 83)(32, 78, 35, 81)(33, 79, 36, 82)(34, 80, 38, 84)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 103, 149, 109, 155, 98, 144, 105, 151, 119, 165, 125, 171, 110, 156, 121, 167, 135, 181, 122, 168, 126, 172, 136, 182, 123, 169, 106, 152, 120, 166, 124, 170, 107, 153, 96, 142, 104, 150, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 117, 163, 102, 148, 113, 159, 127, 173, 133, 179, 118, 164, 129, 175, 137, 183, 130, 176, 134, 180, 138, 184, 131, 177, 114, 160, 128, 174, 132, 178, 115, 161, 100, 146, 112, 158, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 108)(12, 120)(13, 95)(14, 122)(15, 123)(16, 124)(17, 97)(18, 98)(19, 116)(20, 128)(21, 99)(22, 130)(23, 131)(24, 132)(25, 101)(26, 102)(27, 103)(28, 126)(29, 105)(30, 125)(31, 135)(32, 136)(33, 109)(34, 110)(35, 111)(36, 134)(37, 113)(38, 133)(39, 137)(40, 138)(41, 117)(42, 118)(43, 119)(44, 121)(45, 127)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.735
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-4, Y2 * Y3 * Y2^2 * Y3^3, Y3^-2 * Y2 * Y3^-3 * Y2, Y2^-1 * Y3^2 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 39, 85)(28, 74, 44, 90)(29, 75, 37, 83)(30, 76, 45, 91)(31, 77, 43, 89)(32, 78, 46, 92)(33, 79, 41, 87)(34, 80, 38, 84)(35, 81, 40, 86)(36, 82, 42, 88)(93, 139, 95, 141, 103, 149, 119, 165, 107, 153, 96, 142, 104, 150, 120, 166, 128, 174, 125, 171, 106, 152, 122, 168, 127, 173, 110, 156, 123, 169, 124, 170, 126, 172, 109, 155, 98, 144, 105, 151, 121, 167, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 129, 175, 115, 161, 100, 146, 112, 158, 130, 176, 138, 184, 135, 181, 114, 160, 132, 178, 137, 183, 118, 164, 133, 179, 134, 180, 136, 182, 117, 163, 102, 148, 113, 159, 131, 177, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 122)(13, 95)(14, 124)(15, 125)(16, 119)(17, 97)(18, 98)(19, 130)(20, 132)(21, 99)(22, 134)(23, 135)(24, 129)(25, 101)(26, 102)(27, 128)(28, 127)(29, 103)(30, 126)(31, 105)(32, 121)(33, 123)(34, 108)(35, 109)(36, 110)(37, 138)(38, 137)(39, 111)(40, 136)(41, 113)(42, 131)(43, 133)(44, 116)(45, 117)(46, 118)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.729
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y2^-4, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3^-2, Y2 * Y3^-1 * Y2^2 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 38, 84)(28, 74, 37, 83)(29, 75, 44, 90)(30, 76, 45, 91)(31, 77, 43, 89)(32, 78, 46, 92)(33, 79, 41, 87)(34, 80, 39, 85)(35, 81, 40, 86)(36, 82, 42, 88)(93, 139, 95, 141, 103, 149, 119, 165, 109, 155, 98, 144, 105, 151, 121, 167, 124, 170, 127, 173, 110, 156, 123, 169, 125, 171, 106, 152, 122, 168, 128, 174, 126, 172, 107, 153, 96, 142, 104, 150, 120, 166, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 129, 175, 117, 163, 102, 148, 113, 159, 131, 177, 134, 180, 137, 183, 118, 164, 133, 179, 135, 181, 114, 160, 132, 178, 138, 184, 136, 182, 115, 161, 100, 146, 112, 158, 130, 176, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 122)(13, 95)(14, 124)(15, 125)(16, 126)(17, 97)(18, 98)(19, 130)(20, 132)(21, 99)(22, 134)(23, 135)(24, 136)(25, 101)(26, 102)(27, 108)(28, 128)(29, 103)(30, 127)(31, 105)(32, 119)(33, 121)(34, 123)(35, 109)(36, 110)(37, 116)(38, 138)(39, 111)(40, 137)(41, 113)(42, 129)(43, 131)(44, 133)(45, 117)(46, 118)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.722
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3^3 * Y2^-1 * Y3, Y2^-2 * Y3 * Y2^-4, Y2^-3 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-3 * Y3 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 40, 86)(28, 74, 41, 87)(29, 75, 39, 85)(30, 76, 42, 88)(31, 77, 37, 83)(32, 78, 35, 81)(33, 79, 36, 82)(34, 80, 38, 84)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 103, 149, 119, 165, 123, 169, 107, 153, 96, 142, 104, 150, 120, 166, 135, 181, 126, 172, 110, 156, 106, 152, 122, 168, 136, 182, 125, 171, 109, 155, 98, 144, 105, 151, 121, 167, 124, 170, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 127, 173, 131, 177, 115, 161, 100, 146, 112, 158, 128, 174, 137, 183, 134, 180, 118, 164, 114, 160, 130, 176, 138, 184, 133, 179, 117, 163, 102, 148, 113, 159, 129, 175, 132, 178, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 122)(13, 95)(14, 105)(15, 110)(16, 123)(17, 97)(18, 98)(19, 128)(20, 130)(21, 99)(22, 113)(23, 118)(24, 131)(25, 101)(26, 102)(27, 135)(28, 136)(29, 103)(30, 121)(31, 126)(32, 119)(33, 108)(34, 109)(35, 137)(36, 138)(37, 111)(38, 129)(39, 134)(40, 127)(41, 116)(42, 117)(43, 125)(44, 124)(45, 133)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.732
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2 * Y3^4, Y2^3 * Y3 * Y2^3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3, Y2^11 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 41, 87)(28, 74, 42, 88)(29, 75, 40, 86)(30, 76, 39, 85)(31, 77, 38, 84)(32, 78, 37, 83)(33, 79, 35, 81)(34, 80, 36, 82)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 103, 149, 119, 165, 126, 172, 109, 155, 98, 144, 105, 151, 121, 167, 135, 181, 123, 169, 106, 152, 110, 156, 122, 168, 136, 182, 124, 170, 107, 153, 96, 142, 104, 150, 120, 166, 125, 171, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 127, 173, 134, 180, 117, 163, 102, 148, 113, 159, 129, 175, 137, 183, 131, 177, 114, 160, 118, 164, 130, 176, 138, 184, 132, 178, 115, 161, 100, 146, 112, 158, 128, 174, 133, 179, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 110)(13, 95)(14, 109)(15, 123)(16, 124)(17, 97)(18, 98)(19, 128)(20, 118)(21, 99)(22, 117)(23, 131)(24, 132)(25, 101)(26, 102)(27, 125)(28, 122)(29, 103)(30, 105)(31, 126)(32, 135)(33, 136)(34, 108)(35, 133)(36, 130)(37, 111)(38, 113)(39, 134)(40, 137)(41, 138)(42, 116)(43, 119)(44, 121)(45, 127)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.734
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2 * Y3 * Y2 * Y3^2, Y2^-1 * Y3 * Y2^-6, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 38, 84)(28, 74, 37, 83)(29, 75, 36, 82)(30, 76, 35, 81)(31, 77, 34, 80)(32, 78, 33, 79)(39, 85, 44, 90)(40, 86, 43, 89)(41, 87, 46, 92)(42, 88, 45, 91)(93, 139, 95, 141, 103, 149, 119, 165, 131, 177, 123, 169, 107, 153, 96, 142, 104, 150, 110, 156, 121, 167, 133, 179, 134, 180, 122, 168, 106, 152, 109, 155, 98, 144, 105, 151, 120, 166, 132, 178, 124, 170, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 125, 171, 135, 181, 129, 175, 115, 161, 100, 146, 112, 158, 118, 164, 127, 173, 137, 183, 138, 184, 128, 174, 114, 160, 117, 163, 102, 148, 113, 159, 126, 172, 136, 182, 130, 176, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 110)(12, 109)(13, 95)(14, 108)(15, 122)(16, 123)(17, 97)(18, 98)(19, 118)(20, 117)(21, 99)(22, 116)(23, 128)(24, 129)(25, 101)(26, 102)(27, 121)(28, 103)(29, 105)(30, 124)(31, 134)(32, 131)(33, 127)(34, 111)(35, 113)(36, 130)(37, 138)(38, 135)(39, 133)(40, 119)(41, 120)(42, 132)(43, 137)(44, 125)(45, 126)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.725
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y2, Y2^-2 * Y3^-1 * Y2^-5, Y2^-1 * Y3^-10 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 36, 82)(28, 74, 37, 83)(29, 75, 38, 84)(30, 76, 33, 79)(31, 77, 34, 80)(32, 78, 35, 81)(39, 85, 44, 90)(40, 86, 43, 89)(41, 87, 46, 92)(42, 88, 45, 91)(93, 139, 95, 141, 103, 149, 119, 165, 131, 177, 123, 169, 109, 155, 98, 144, 105, 151, 106, 152, 121, 167, 133, 179, 134, 180, 124, 170, 110, 156, 107, 153, 96, 142, 104, 150, 120, 166, 132, 178, 122, 168, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 125, 171, 135, 181, 129, 175, 117, 163, 102, 148, 113, 159, 114, 160, 127, 173, 137, 183, 138, 184, 130, 176, 118, 164, 115, 161, 100, 146, 112, 158, 126, 172, 136, 182, 128, 174, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 121)(13, 95)(14, 103)(15, 105)(16, 110)(17, 97)(18, 98)(19, 126)(20, 127)(21, 99)(22, 111)(23, 113)(24, 118)(25, 101)(26, 102)(27, 132)(28, 133)(29, 119)(30, 124)(31, 108)(32, 109)(33, 136)(34, 137)(35, 125)(36, 130)(37, 116)(38, 117)(39, 122)(40, 134)(41, 131)(42, 123)(43, 128)(44, 138)(45, 135)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.720
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-3, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2^2 * Y3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 21, 67)(12, 58, 22, 68)(13, 59, 20, 66)(14, 60, 19, 65)(15, 61, 17, 63)(16, 62, 18, 64)(23, 69, 33, 79)(24, 70, 34, 80)(25, 71, 32, 78)(26, 72, 31, 77)(27, 73, 29, 75)(28, 74, 30, 76)(35, 81, 45, 91)(36, 82, 46, 92)(37, 83, 44, 90)(38, 84, 43, 89)(39, 85, 41, 87)(40, 86, 42, 88)(93, 139, 95, 141, 103, 149, 115, 161, 127, 173, 130, 176, 118, 164, 106, 152, 96, 142, 104, 150, 116, 162, 128, 174, 132, 178, 120, 166, 108, 154, 98, 144, 105, 151, 117, 163, 129, 175, 131, 177, 119, 165, 107, 153, 97, 143)(94, 140, 99, 145, 109, 155, 121, 167, 133, 179, 136, 182, 124, 170, 112, 158, 100, 146, 110, 156, 122, 168, 134, 180, 138, 184, 126, 172, 114, 160, 102, 148, 111, 157, 123, 169, 135, 181, 137, 183, 125, 171, 113, 159, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 105)(5, 106)(6, 93)(7, 110)(8, 111)(9, 112)(10, 94)(11, 116)(12, 117)(13, 95)(14, 98)(15, 118)(16, 97)(17, 122)(18, 123)(19, 99)(20, 102)(21, 124)(22, 101)(23, 128)(24, 129)(25, 103)(26, 108)(27, 130)(28, 107)(29, 134)(30, 135)(31, 109)(32, 114)(33, 136)(34, 113)(35, 132)(36, 131)(37, 115)(38, 120)(39, 127)(40, 119)(41, 138)(42, 137)(43, 121)(44, 126)(45, 133)(46, 125)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.737
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y2^3 * Y3^-1 * Y2^-3 * Y3, Y2^2 * Y3^-2 * Y2^5, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 22, 68)(12, 58, 20, 66)(13, 59, 21, 67)(14, 60, 18, 64)(15, 61, 19, 65)(16, 62, 17, 63)(23, 69, 34, 80)(24, 70, 32, 78)(25, 71, 33, 79)(26, 72, 30, 76)(27, 73, 31, 77)(28, 74, 29, 75)(35, 81, 46, 92)(36, 82, 44, 90)(37, 83, 45, 91)(38, 84, 42, 88)(39, 85, 43, 89)(40, 86, 41, 87)(93, 139, 95, 141, 103, 149, 115, 161, 127, 173, 130, 176, 118, 164, 106, 152, 98, 144, 105, 151, 117, 163, 129, 175, 131, 177, 119, 165, 107, 153, 96, 142, 104, 150, 116, 162, 128, 174, 132, 178, 120, 166, 108, 154, 97, 143)(94, 140, 99, 145, 109, 155, 121, 167, 133, 179, 136, 182, 124, 170, 112, 158, 102, 148, 111, 157, 123, 169, 135, 181, 137, 183, 125, 171, 113, 159, 100, 146, 110, 156, 122, 168, 134, 180, 138, 184, 126, 172, 114, 160, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 110)(8, 112)(9, 113)(10, 94)(11, 116)(12, 98)(13, 95)(14, 97)(15, 118)(16, 119)(17, 122)(18, 102)(19, 99)(20, 101)(21, 124)(22, 125)(23, 128)(24, 105)(25, 103)(26, 108)(27, 130)(28, 131)(29, 134)(30, 111)(31, 109)(32, 114)(33, 136)(34, 137)(35, 132)(36, 117)(37, 115)(38, 120)(39, 127)(40, 129)(41, 138)(42, 123)(43, 121)(44, 126)(45, 133)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.727
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2 * Y3^2 * Y2^-1, Y3^3 * Y2 * Y3^2, Y3^-3 * Y2^4 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 45, 91)(28, 74, 46, 92)(29, 75, 44, 90)(30, 76, 42, 88)(31, 77, 43, 89)(32, 78, 40, 86)(33, 79, 41, 87)(34, 80, 39, 85)(35, 81, 37, 83)(36, 82, 38, 84)(93, 139, 95, 141, 103, 149, 119, 165, 124, 170, 110, 156, 123, 169, 126, 172, 107, 153, 96, 142, 104, 150, 120, 166, 128, 174, 109, 155, 98, 144, 105, 151, 121, 167, 125, 171, 106, 152, 122, 168, 127, 173, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 129, 175, 134, 180, 118, 164, 133, 179, 136, 182, 115, 161, 100, 146, 112, 158, 130, 176, 138, 184, 117, 163, 102, 148, 113, 159, 131, 177, 135, 181, 114, 160, 132, 178, 137, 183, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 122)(13, 95)(14, 124)(15, 125)(16, 126)(17, 97)(18, 98)(19, 130)(20, 132)(21, 99)(22, 134)(23, 135)(24, 136)(25, 101)(26, 102)(27, 128)(28, 127)(29, 103)(30, 110)(31, 105)(32, 109)(33, 119)(34, 121)(35, 123)(36, 108)(37, 138)(38, 137)(39, 111)(40, 118)(41, 113)(42, 117)(43, 129)(44, 131)(45, 133)(46, 116)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.723
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^2, Y3 * Y2^4 * Y3^2, 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 44, 90)(28, 74, 45, 91)(29, 75, 43, 89)(30, 76, 46, 92)(31, 77, 42, 88)(32, 78, 41, 87)(33, 79, 39, 85)(34, 80, 37, 83)(35, 81, 38, 84)(36, 82, 40, 86)(93, 139, 95, 141, 103, 149, 119, 165, 124, 170, 106, 152, 122, 168, 127, 173, 109, 155, 98, 144, 105, 151, 121, 167, 125, 171, 107, 153, 96, 142, 104, 150, 120, 166, 128, 174, 110, 156, 123, 169, 126, 172, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 129, 175, 134, 180, 114, 160, 132, 178, 137, 183, 117, 163, 102, 148, 113, 159, 131, 177, 135, 181, 115, 161, 100, 146, 112, 158, 130, 176, 138, 184, 118, 164, 133, 179, 136, 182, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 120)(12, 122)(13, 95)(14, 123)(15, 124)(16, 125)(17, 97)(18, 98)(19, 130)(20, 132)(21, 99)(22, 133)(23, 134)(24, 135)(25, 101)(26, 102)(27, 128)(28, 127)(29, 103)(30, 126)(31, 105)(32, 110)(33, 119)(34, 121)(35, 108)(36, 109)(37, 138)(38, 137)(39, 111)(40, 136)(41, 113)(42, 118)(43, 129)(44, 131)(45, 116)(46, 117)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.728
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1, Y3^6 * Y2^-1 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 37, 83)(28, 74, 36, 82)(29, 75, 38, 84)(30, 76, 34, 80)(31, 77, 33, 79)(32, 78, 35, 81)(39, 85, 46, 92)(40, 86, 45, 91)(41, 87, 44, 90)(42, 88, 43, 89)(93, 139, 95, 141, 103, 149, 110, 156, 120, 166, 131, 177, 133, 179, 121, 167, 123, 169, 107, 153, 96, 142, 104, 150, 109, 155, 98, 144, 105, 151, 119, 165, 124, 170, 132, 178, 134, 180, 122, 168, 106, 152, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 118, 164, 126, 172, 135, 181, 137, 183, 127, 173, 129, 175, 115, 161, 100, 146, 112, 158, 117, 163, 102, 148, 113, 159, 125, 171, 130, 176, 136, 182, 138, 184, 128, 174, 114, 160, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 109)(12, 108)(13, 95)(14, 121)(15, 122)(16, 123)(17, 97)(18, 98)(19, 117)(20, 116)(21, 99)(22, 127)(23, 128)(24, 129)(25, 101)(26, 102)(27, 103)(28, 105)(29, 132)(30, 133)(31, 134)(32, 110)(33, 111)(34, 113)(35, 136)(36, 137)(37, 138)(38, 118)(39, 119)(40, 120)(41, 124)(42, 131)(43, 125)(44, 126)(45, 130)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.724
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^2 * Y3^-1 * Y2 * Y3^-1, Y3^-2 * Y2^-1 * Y3^-5, Y3 * Y2^10 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 24, 70)(12, 58, 25, 71)(13, 59, 23, 69)(14, 60, 26, 72)(15, 61, 21, 67)(16, 62, 19, 65)(17, 63, 20, 66)(18, 64, 22, 68)(27, 73, 36, 82)(28, 74, 37, 83)(29, 75, 38, 84)(30, 76, 33, 79)(31, 77, 34, 80)(32, 78, 35, 81)(39, 85, 46, 92)(40, 86, 45, 91)(41, 87, 44, 90)(42, 88, 43, 89)(93, 139, 95, 141, 103, 149, 106, 152, 120, 166, 131, 177, 133, 179, 124, 170, 122, 168, 109, 155, 98, 144, 105, 151, 107, 153, 96, 142, 104, 150, 119, 165, 121, 167, 132, 178, 134, 180, 123, 169, 110, 156, 108, 154, 97, 143)(94, 140, 99, 145, 111, 157, 114, 160, 126, 172, 135, 181, 137, 183, 130, 176, 128, 174, 117, 163, 102, 148, 113, 159, 115, 161, 100, 146, 112, 158, 125, 171, 127, 173, 136, 182, 138, 184, 129, 175, 118, 164, 116, 162, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 106)(5, 107)(6, 93)(7, 112)(8, 114)(9, 115)(10, 94)(11, 119)(12, 120)(13, 95)(14, 121)(15, 103)(16, 105)(17, 97)(18, 98)(19, 125)(20, 126)(21, 99)(22, 127)(23, 111)(24, 113)(25, 101)(26, 102)(27, 131)(28, 132)(29, 133)(30, 108)(31, 109)(32, 110)(33, 135)(34, 136)(35, 137)(36, 116)(37, 117)(38, 118)(39, 134)(40, 124)(41, 123)(42, 122)(43, 138)(44, 130)(45, 129)(46, 128)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.721
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (Y2 * Y1)^2, Y3 * Y2^-11, (Y3 * Y2^-1)^23 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 18, 64)(12, 58, 17, 63)(13, 59, 16, 62)(14, 60, 15, 61)(19, 65, 26, 72)(20, 66, 25, 71)(21, 67, 24, 70)(22, 68, 23, 69)(27, 73, 34, 80)(28, 74, 33, 79)(29, 75, 32, 78)(30, 76, 31, 77)(35, 81, 42, 88)(36, 82, 41, 87)(37, 83, 40, 86)(38, 84, 39, 85)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 103, 149, 111, 157, 119, 165, 127, 173, 135, 181, 129, 175, 121, 167, 113, 159, 105, 151, 96, 142, 98, 144, 104, 150, 112, 158, 120, 166, 128, 174, 136, 182, 130, 176, 122, 168, 114, 160, 106, 152, 97, 143)(94, 140, 99, 145, 107, 153, 115, 161, 123, 169, 131, 177, 137, 183, 133, 179, 125, 171, 117, 163, 109, 155, 100, 146, 102, 148, 108, 154, 116, 162, 124, 170, 132, 178, 138, 184, 134, 180, 126, 172, 118, 164, 110, 156, 101, 147)
	L = (1, 96)(2, 100)(3, 98)(4, 97)(5, 105)(6, 93)(7, 102)(8, 101)(9, 109)(10, 94)(11, 104)(12, 95)(13, 106)(14, 113)(15, 108)(16, 99)(17, 110)(18, 117)(19, 112)(20, 103)(21, 114)(22, 121)(23, 116)(24, 107)(25, 118)(26, 125)(27, 120)(28, 111)(29, 122)(30, 129)(31, 124)(32, 115)(33, 126)(34, 133)(35, 128)(36, 119)(37, 130)(38, 135)(39, 132)(40, 123)(41, 134)(42, 137)(43, 136)(44, 127)(45, 138)(46, 131)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.731
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 23, 23})
Quotient :: dipole
Aut^+ = D46 (small group id <46, 1>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^-5 * Y3^-1 * Y2^-6 ]
Map:: non-degenerate
	R = (1, 47, 2, 48)(3, 49, 9, 55)(4, 50, 10, 56)(5, 51, 7, 53)(6, 52, 8, 54)(11, 57, 17, 63)(12, 58, 18, 64)(13, 59, 15, 61)(14, 60, 16, 62)(19, 65, 25, 71)(20, 66, 26, 72)(21, 67, 23, 69)(22, 68, 24, 70)(27, 73, 33, 79)(28, 74, 34, 80)(29, 75, 31, 77)(30, 76, 32, 78)(35, 81, 41, 87)(36, 82, 42, 88)(37, 83, 39, 85)(38, 84, 40, 86)(43, 89, 46, 92)(44, 90, 45, 91)(93, 139, 95, 141, 103, 149, 111, 157, 119, 165, 127, 173, 135, 181, 130, 176, 122, 168, 114, 160, 106, 152, 98, 144, 96, 142, 104, 150, 112, 158, 120, 166, 128, 174, 136, 182, 129, 175, 121, 167, 113, 159, 105, 151, 97, 143)(94, 140, 99, 145, 107, 153, 115, 161, 123, 169, 131, 177, 137, 183, 134, 180, 126, 172, 118, 164, 110, 156, 102, 148, 100, 146, 108, 154, 116, 162, 124, 170, 132, 178, 138, 184, 133, 179, 125, 171, 117, 163, 109, 155, 101, 147)
	L = (1, 96)(2, 100)(3, 104)(4, 95)(5, 98)(6, 93)(7, 108)(8, 99)(9, 102)(10, 94)(11, 112)(12, 103)(13, 106)(14, 97)(15, 116)(16, 107)(17, 110)(18, 101)(19, 120)(20, 111)(21, 114)(22, 105)(23, 124)(24, 115)(25, 118)(26, 109)(27, 128)(28, 119)(29, 122)(30, 113)(31, 132)(32, 123)(33, 126)(34, 117)(35, 136)(36, 127)(37, 130)(38, 121)(39, 138)(40, 131)(41, 134)(42, 125)(43, 129)(44, 135)(45, 133)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 4, 46, 4, 46 ), ( 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.718
Graph:: bipartite
	v = 25 e = 92 f = 25
	degree seq :: [ 4^23, 46^2 ]

E22.739 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-2, T2^10 * T1 * T2^12, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 3, 6, 12, 15, 20, 23, 28, 31, 36, 39, 44, 45, 42, 37, 34, 29, 26, 21, 18, 13, 10, 4, 8, 2, 7, 11, 16, 19, 24, 27, 32, 35, 40, 43, 46, 41, 38, 33, 30, 25, 22, 17, 14, 9, 5)(47, 48, 52, 57, 61, 65, 69, 73, 77, 81, 85, 89, 91, 87, 83, 79, 75, 71, 67, 63, 59, 55, 50)(49, 53, 58, 62, 66, 70, 74, 78, 82, 86, 90, 92, 88, 84, 80, 76, 72, 68, 64, 60, 56, 51, 54)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.789
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.740 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2^3 * T1^-1 * T2^5, T1 * T2^2 * T1 * T2 * T1 * T2^3 * T1^2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 43, 42, 30, 16, 6, 15, 29, 41, 44, 35, 22, 28, 14, 27, 40, 45, 36, 23, 11, 21, 26, 39, 46, 37, 24, 12, 4, 10, 20, 34, 38, 25, 13, 5)(47, 48, 52, 60, 72, 66, 55, 63, 75, 86, 92, 84, 79, 89, 90, 82, 70, 59, 64, 76, 68, 57, 50)(49, 53, 61, 73, 85, 80, 65, 77, 87, 91, 83, 71, 78, 88, 81, 69, 58, 51, 54, 62, 74, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.787
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.741 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-5, T2 * T1 * T2^7, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-4 * T1, T1^83 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 37, 24, 12, 4, 10, 20, 34, 44, 39, 26, 23, 11, 21, 35, 45, 40, 28, 14, 27, 22, 36, 46, 42, 30, 16, 6, 15, 29, 41, 43, 32, 18, 8, 2, 7, 17, 31, 38, 25, 13, 5)(47, 48, 52, 60, 72, 70, 59, 64, 76, 86, 90, 79, 84, 89, 92, 81, 66, 55, 63, 75, 68, 57, 50)(49, 53, 61, 73, 69, 58, 51, 54, 62, 74, 85, 83, 71, 78, 88, 91, 80, 65, 77, 87, 82, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.790
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.742 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-2 * T2^-1 * T1^-1 * T2^-3, T1^-10 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 39, 46, 44, 35, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 38, 41, 43, 34, 37, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 40, 42, 45, 36, 27, 14, 25, 13, 5)(47, 48, 52, 60, 72, 80, 88, 85, 77, 66, 55, 63, 70, 59, 64, 74, 82, 90, 87, 79, 68, 57, 50)(49, 53, 61, 71, 75, 83, 91, 92, 84, 76, 65, 69, 58, 51, 54, 62, 73, 81, 89, 86, 78, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.785
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.743 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1 * T2^-1 * T1 * T2^-3 * T1, T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-6, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 14, 27, 36, 45, 42, 39, 30, 33, 24, 12, 4, 10, 20, 16, 6, 15, 28, 37, 34, 43, 38, 41, 32, 23, 11, 21, 18, 8, 2, 7, 17, 29, 26, 35, 44, 46, 40, 31, 22, 25, 13, 5)(47, 48, 52, 60, 72, 80, 88, 86, 78, 70, 59, 64, 66, 55, 63, 74, 82, 90, 84, 76, 68, 57, 50)(49, 53, 61, 73, 81, 89, 85, 77, 69, 58, 51, 54, 62, 65, 75, 83, 91, 92, 87, 79, 71, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.788
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.744 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T1^5 * T2^-4, T2^-3 * T1^4 * T2^-1 * T1, T1^-3 * T2^-1 * T1^-1 * T2^-5, T2^-1 * T1^-1 * T2^-1 * T1^-17 * T2^-2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 37, 32, 18, 8, 2, 7, 17, 31, 45, 38, 22, 36, 30, 16, 6, 15, 29, 44, 39, 23, 11, 21, 35, 28, 14, 27, 43, 40, 24, 12, 4, 10, 20, 34, 26, 42, 41, 25, 13, 5)(47, 48, 52, 60, 72, 79, 91, 85, 70, 59, 64, 76, 81, 66, 55, 63, 75, 89, 87, 83, 68, 57, 50)(49, 53, 61, 73, 88, 92, 84, 69, 58, 51, 54, 62, 74, 80, 65, 77, 90, 86, 71, 78, 82, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.783
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.745 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^2 * T2^-2 * T1^-2 * T2, T2^3 * T1 * T2 * T1^4, T2^-4 * T1 * T2^-1 * T1^3 * T2^-1, T1^3 * T2^40 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 26, 40, 24, 12, 4, 10, 20, 34, 43, 28, 14, 27, 39, 23, 11, 21, 35, 44, 30, 16, 6, 15, 29, 38, 22, 36, 45, 32, 18, 8, 2, 7, 17, 31, 37, 46, 41, 25, 13, 5)(47, 48, 52, 60, 72, 87, 91, 81, 66, 55, 63, 75, 85, 70, 59, 64, 76, 89, 79, 83, 68, 57, 50)(49, 53, 61, 73, 86, 71, 78, 90, 80, 65, 77, 84, 69, 58, 51, 54, 62, 74, 88, 92, 82, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.786
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.746 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2^2 * T1^5, T1^3 * T2^-8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 36, 26, 14, 23, 11, 21, 32, 42, 39, 29, 18, 8, 2, 7, 17, 28, 38, 46, 44, 34, 24, 12, 4, 10, 20, 31, 41, 37, 27, 16, 6, 15, 22, 33, 43, 45, 35, 25, 13, 5)(47, 48, 52, 60, 70, 59, 64, 73, 82, 90, 81, 85, 87, 76, 84, 89, 78, 66, 55, 63, 68, 57, 50)(49, 53, 61, 69, 58, 51, 54, 62, 72, 80, 71, 75, 83, 86, 92, 91, 88, 77, 65, 74, 79, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.781
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.747 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^2 * T1^-5, T2^-2 * T1^5, T2^4 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T1^2 * T2 * T1 * T2^7, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 42, 32, 22, 16, 6, 15, 27, 37, 44, 34, 24, 12, 4, 10, 20, 31, 41, 46, 39, 29, 18, 8, 2, 7, 17, 28, 38, 43, 33, 23, 11, 21, 14, 26, 36, 45, 35, 25, 13, 5)(47, 48, 52, 60, 66, 55, 63, 73, 82, 87, 76, 84, 90, 81, 85, 88, 79, 70, 59, 64, 68, 57, 50)(49, 53, 61, 72, 77, 65, 74, 83, 91, 92, 86, 89, 80, 71, 75, 78, 69, 58, 51, 54, 62, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.784
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.748 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^23 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 40, 41, 44, 45, 46, 42, 43, 38, 39, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(47, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 91, 87, 83, 79, 75, 71, 67, 63, 59, 55, 50)(49, 51, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 92, 90, 86, 82, 78, 74, 70, 66, 62, 58, 54)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.779
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.749 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^23, (T2^-1 * T1^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 31, 30, 35, 34, 39, 38, 43, 42, 46, 44, 45, 40, 41, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(47, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 90, 86, 82, 78, 74, 70, 66, 62, 58, 54, 50)(49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 92, 91, 87, 83, 79, 75, 71, 67, 63, 59, 55, 51)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.782
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.750 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|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 * T2^13, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 46, 41, 35, 29, 23, 17, 11, 8, 2, 7, 15, 21, 27, 33, 39, 45, 42, 36, 30, 24, 18, 12, 4, 10, 6, 14, 20, 26, 32, 38, 44, 43, 37, 31, 25, 19, 13, 5)(47, 48, 52, 55, 61, 66, 68, 73, 78, 80, 85, 90, 92, 88, 83, 81, 76, 71, 69, 64, 59, 57, 50)(49, 53, 60, 62, 67, 72, 74, 79, 84, 86, 91, 89, 87, 82, 77, 75, 70, 65, 63, 58, 51, 54, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.777
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.751 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^2 * T1^3, T2^14 * T1^-2, T1^2 * T2^-14, T1 * T2^-1 * T1 * T2^-13 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 44, 38, 32, 26, 20, 14, 6, 12, 4, 10, 17, 23, 29, 35, 41, 45, 39, 33, 27, 21, 15, 8, 2, 7, 11, 18, 24, 30, 36, 42, 46, 43, 37, 31, 25, 19, 13, 5)(47, 48, 52, 59, 61, 66, 71, 73, 78, 83, 85, 90, 92, 87, 80, 82, 75, 68, 70, 63, 55, 57, 50)(49, 53, 58, 51, 54, 60, 65, 67, 72, 77, 79, 84, 89, 91, 86, 88, 81, 74, 76, 69, 62, 64, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.780
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.752 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-3 * T1^-2 * T2^-3, T1^5 * T2^-1 * T1 * T2^-1 * T1, T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 35, 43, 46, 44, 37, 28, 14, 27, 40, 32, 18, 8, 2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 42, 38, 22, 36, 26, 39, 45, 41, 30, 16, 6, 15, 29, 25, 13, 5)(47, 48, 52, 60, 72, 81, 66, 55, 63, 75, 86, 91, 92, 88, 79, 70, 59, 64, 76, 83, 68, 57, 50)(49, 53, 61, 73, 85, 89, 80, 65, 77, 71, 78, 87, 90, 84, 69, 58, 51, 54, 62, 74, 82, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.775
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.753 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^4 * T1^-1, T1^4 * T2 * T1 * T2 * T1^2, T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^3 * T2^-2 * T1^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 41, 45, 39, 26, 36, 22, 34, 42, 38, 24, 12, 4, 10, 20, 32, 18, 8, 2, 7, 17, 31, 40, 28, 14, 27, 35, 43, 46, 44, 37, 23, 11, 21, 33, 25, 13, 5)(47, 48, 52, 60, 72, 83, 70, 59, 64, 76, 86, 91, 92, 88, 79, 66, 55, 63, 75, 81, 68, 57, 50)(49, 53, 61, 73, 82, 69, 58, 51, 54, 62, 74, 85, 90, 84, 71, 78, 65, 77, 87, 89, 80, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.778
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.754 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-10, (T2^2 * T1^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 12, 4, 10, 18, 21, 11, 19, 26, 29, 20, 27, 34, 37, 28, 35, 42, 45, 36, 43, 38, 46, 44, 40, 30, 39, 41, 32, 22, 31, 33, 24, 14, 23, 25, 16, 6, 15, 17, 8, 2, 7, 13, 5)(47, 48, 52, 60, 68, 76, 84, 88, 80, 72, 64, 55, 59, 63, 71, 79, 87, 90, 82, 74, 66, 57, 50)(49, 53, 61, 69, 77, 85, 92, 91, 83, 75, 67, 58, 51, 54, 62, 70, 78, 86, 89, 81, 73, 65, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.773
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.755 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1, T1 * T2 * T1^10 * T2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 25, 24, 14, 23, 33, 32, 22, 31, 41, 40, 30, 39, 43, 46, 38, 44, 35, 42, 45, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(47, 48, 52, 60, 68, 76, 84, 91, 83, 75, 67, 59, 55, 63, 71, 79, 87, 89, 81, 73, 65, 57, 50)(49, 53, 61, 69, 77, 85, 90, 82, 74, 66, 58, 51, 54, 62, 70, 78, 86, 92, 88, 80, 72, 64, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.776
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.756 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^-1 * T2^-2, T1^-7 * T2^-1 * T1^-1 * T2^-1, T1^2 * T2^-1 * T1^4 * T2^-3 * T1, T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 44, 38, 36, 22, 34, 45, 40, 26, 39, 35, 46, 42, 28, 14, 27, 41, 43, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(47, 48, 52, 60, 72, 84, 83, 70, 59, 64, 76, 88, 91, 79, 66, 55, 63, 75, 87, 81, 68, 57, 50)(49, 53, 61, 73, 85, 82, 69, 58, 51, 54, 62, 74, 86, 90, 78, 65, 71, 77, 89, 92, 80, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.771
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.757 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^4 * T1^-1 * T2^2, T1^3 * T2^-1 * T1 * T2^-1 * T1^4, T1^-3 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-3 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 18, 8, 2, 7, 17, 31, 30, 16, 6, 15, 29, 43, 42, 28, 14, 27, 41, 44, 34, 40, 26, 39, 45, 35, 22, 33, 38, 46, 36, 23, 11, 21, 32, 37, 24, 12, 4, 10, 20, 25, 13, 5)(47, 48, 52, 60, 72, 84, 78, 66, 55, 63, 75, 87, 91, 82, 70, 59, 64, 76, 88, 80, 68, 57, 50)(49, 53, 61, 73, 85, 92, 83, 71, 65, 77, 89, 90, 81, 69, 58, 51, 54, 62, 74, 86, 79, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.774
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.758 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-10 * T1^3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 39, 31, 23, 14, 12, 4, 10, 20, 28, 36, 44, 40, 32, 24, 16, 6, 15, 11, 21, 29, 37, 45, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 46, 38, 30, 22, 13, 5)(47, 48, 52, 60, 59, 64, 70, 77, 76, 80, 86, 89, 92, 91, 82, 73, 79, 75, 66, 55, 63, 57, 50)(49, 53, 61, 58, 51, 54, 62, 69, 68, 72, 78, 85, 84, 88, 90, 81, 87, 83, 74, 65, 71, 67, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.770
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.759 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1 * T2 * T1 * T2^9 * T1, 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 * 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 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 27, 35, 43, 42, 34, 26, 18, 8, 2, 7, 17, 25, 33, 41, 44, 36, 28, 20, 11, 16, 6, 15, 24, 32, 40, 45, 37, 29, 21, 12, 4, 10, 14, 23, 31, 39, 46, 38, 30, 22, 13, 5)(47, 48, 52, 60, 55, 63, 70, 77, 73, 79, 86, 92, 89, 90, 83, 76, 80, 74, 67, 59, 64, 57, 50)(49, 53, 61, 69, 65, 71, 78, 85, 81, 87, 91, 84, 88, 82, 75, 68, 72, 66, 58, 51, 54, 62, 56)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 92^23 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.772
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 46 f = 1
	degree seq :: [ 23^2, 46 ]

E22.760 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, T1 * T2^15, (T2^-1 * T1^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 40, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 36, 42, 46, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 41, 35, 29, 23, 17, 11, 5)(47, 48, 52, 49, 53, 58, 55, 59, 64, 61, 65, 70, 67, 71, 76, 73, 77, 82, 79, 83, 88, 85, 89, 92, 91, 87, 90, 86, 81, 84, 80, 75, 78, 74, 69, 72, 68, 63, 66, 62, 57, 60, 56, 51, 54, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.796
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.761 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, T2^-15 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 44, 38, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 37, 43, 46, 42, 36, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 40, 45, 41, 35, 29, 23, 17, 11, 5)(47, 48, 52, 51, 54, 58, 57, 60, 64, 63, 66, 70, 69, 72, 76, 75, 78, 82, 81, 84, 88, 87, 90, 92, 91, 85, 89, 86, 79, 83, 80, 73, 77, 74, 67, 71, 68, 61, 65, 62, 55, 59, 56, 49, 53, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.792
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.762 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^-2 * T2^-1 * T1^2, T1^-1 * T2 * T1^-4, T2 * T1 * T2^8, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 32, 22, 12, 4, 10, 20, 30, 40, 45, 41, 31, 21, 11, 14, 24, 34, 42, 46, 44, 36, 26, 16, 6, 15, 25, 35, 43, 38, 28, 18, 8, 2, 7, 17, 27, 37, 33, 23, 13, 5)(47, 48, 52, 60, 56, 49, 53, 61, 70, 66, 55, 63, 71, 80, 76, 65, 73, 81, 88, 86, 75, 83, 89, 92, 91, 85, 79, 84, 90, 87, 78, 69, 74, 82, 77, 68, 59, 64, 72, 67, 58, 51, 54, 62, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.799
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.763 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5 * T2, T2^2 * T1^2 * T2^-2 * T1^-2, T2^-4 * T1 * T2^-5 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 38, 28, 18, 8, 2, 7, 17, 27, 37, 44, 36, 26, 16, 6, 15, 25, 35, 43, 46, 42, 34, 24, 14, 11, 21, 31, 40, 45, 41, 32, 22, 12, 4, 10, 20, 30, 39, 33, 23, 13, 5)(47, 48, 52, 60, 58, 51, 54, 62, 70, 68, 59, 64, 72, 80, 78, 69, 74, 82, 88, 87, 79, 84, 90, 92, 91, 85, 75, 83, 89, 86, 76, 65, 73, 81, 77, 66, 55, 63, 71, 67, 56, 49, 53, 61, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.795
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.764 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1), (F * T1)^2, T1^-3 * T2 * T1^-4, T1^2 * T2 * T1 * T2^5 * T1, T2^2 * T1^-1 * T2^4 * T1^-2 * T2, 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^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 28, 14, 27, 41, 38, 24, 12, 4, 10, 20, 34, 44, 30, 16, 6, 15, 29, 43, 37, 23, 11, 21, 35, 46, 32, 18, 8, 2, 7, 17, 31, 45, 36, 22, 26, 40, 39, 25, 13, 5)(47, 48, 52, 60, 72, 67, 56, 49, 53, 61, 73, 86, 81, 66, 55, 63, 75, 87, 85, 92, 80, 65, 77, 89, 84, 71, 78, 90, 79, 91, 83, 70, 59, 64, 76, 88, 82, 69, 58, 51, 54, 62, 74, 68, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.800
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.765 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^-1 * T1^-3, T2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-2 * T2, T1^2 * T2^3 * T1^-2 * T2^-3, T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 26, 22, 36, 46, 32, 18, 8, 2, 7, 17, 31, 45, 37, 23, 11, 21, 35, 44, 30, 16, 6, 15, 29, 43, 38, 24, 12, 4, 10, 20, 34, 42, 28, 14, 27, 41, 39, 25, 13, 5)(47, 48, 52, 60, 72, 69, 58, 51, 54, 62, 74, 86, 83, 70, 59, 64, 76, 88, 79, 91, 84, 71, 78, 90, 80, 65, 77, 89, 85, 92, 81, 66, 55, 63, 75, 87, 82, 67, 56, 49, 53, 61, 73, 68, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.798
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.766 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-3, T2^2 * T1^-1 * T2^2 * T1^3, T1^-4 * T2 * T1^-7, T1^-3 * T2^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 44, 46, 41, 31, 40, 34, 25, 14, 24, 18, 8, 2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 43, 38, 39, 45, 42, 33, 23, 32, 26, 16, 6, 15, 13, 5)(47, 48, 52, 60, 69, 77, 85, 83, 75, 67, 56, 49, 53, 61, 70, 78, 86, 91, 90, 82, 74, 66, 55, 63, 59, 64, 72, 80, 88, 92, 89, 81, 73, 65, 58, 51, 54, 62, 71, 79, 87, 84, 76, 68, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.791
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.767 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-1 * T1 * T2^-2, T1^-4 * T2^-1 * T1^-7, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 45, 39, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 46, 44, 37, 28, 35, 30, 21, 11, 19, 13, 5)(47, 48, 52, 60, 69, 77, 85, 83, 75, 67, 58, 51, 54, 62, 71, 79, 87, 91, 90, 84, 76, 68, 59, 64, 55, 63, 72, 80, 88, 92, 89, 81, 73, 65, 56, 49, 53, 61, 70, 78, 86, 82, 74, 66, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.794
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.768 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T1, T2^-1), (F * T1)^2, T2^2 * T1^-1 * T2 * T1^-4, T1^-1 * T2^-1 * T1^-1 * T2^-7, T2^4 * T1^-1 * T2^5 * T1^-1 * T2^5 * T1^-1 * T2^5 * T1^-1 * T2^5 * T1^-1 * T2^5 * T1^-1 * T2^4 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 35, 23, 11, 21, 28, 14, 27, 39, 46, 42, 32, 18, 8, 2, 7, 17, 31, 41, 36, 24, 12, 4, 10, 20, 26, 38, 45, 44, 34, 22, 30, 16, 6, 15, 29, 40, 37, 25, 13, 5)(47, 48, 52, 60, 72, 65, 77, 86, 92, 90, 81, 70, 59, 64, 76, 67, 56, 49, 53, 61, 73, 84, 79, 87, 83, 88, 80, 69, 58, 51, 54, 62, 74, 66, 55, 63, 75, 85, 91, 89, 82, 71, 78, 68, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.793
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.769 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {23, 46, 46})
Quotient :: edge
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^-2 * T1^-1 * T2^-1 * T1^-4, T1 * T2^-1 * T1 * T2^-7, T1^2 * T2 * T1^-1 * T2^-2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^2 * T2 * T1^2 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 30, 16, 6, 15, 29, 22, 36, 44, 45, 38, 26, 24, 12, 4, 10, 20, 34, 42, 32, 18, 8, 2, 7, 17, 31, 41, 46, 39, 28, 14, 27, 23, 11, 21, 35, 43, 37, 25, 13, 5)(47, 48, 52, 60, 72, 71, 78, 86, 92, 90, 81, 66, 55, 63, 75, 69, 58, 51, 54, 62, 74, 84, 83, 88, 79, 87, 82, 67, 56, 49, 53, 61, 73, 70, 59, 64, 76, 85, 91, 89, 80, 65, 77, 68, 57, 50)
	L = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.797
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.770 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^2 * T2^-2, T2^10 * T1 * T2^12, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 6, 52, 12, 58, 15, 61, 20, 66, 23, 69, 28, 74, 31, 77, 36, 82, 39, 85, 44, 90, 45, 91, 42, 88, 37, 83, 34, 80, 29, 75, 26, 72, 21, 67, 18, 64, 13, 59, 10, 56, 4, 50, 8, 54, 2, 48, 7, 53, 11, 57, 16, 62, 19, 65, 24, 70, 27, 73, 32, 78, 35, 81, 40, 86, 43, 89, 46, 92, 41, 87, 38, 84, 33, 79, 30, 76, 25, 71, 22, 68, 17, 63, 14, 60, 9, 55, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 57)(7, 58)(8, 49)(9, 50)(10, 51)(11, 61)(12, 62)(13, 55)(14, 56)(15, 65)(16, 66)(17, 59)(18, 60)(19, 69)(20, 70)(21, 63)(22, 64)(23, 73)(24, 74)(25, 67)(26, 68)(27, 77)(28, 78)(29, 71)(30, 72)(31, 81)(32, 82)(33, 75)(34, 76)(35, 85)(36, 86)(37, 79)(38, 80)(39, 89)(40, 90)(41, 83)(42, 84)(43, 91)(44, 92)(45, 87)(46, 88)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.758
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.771 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2^3 * T1^-1 * T2^5, T1 * T2^2 * T1 * T2 * T1 * T2^3 * T1^2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 32, 78, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 43, 89, 42, 88, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 41, 87, 44, 90, 35, 81, 22, 68, 28, 74, 14, 60, 27, 73, 40, 86, 45, 91, 36, 82, 23, 69, 11, 57, 21, 67, 26, 72, 39, 85, 46, 92, 37, 83, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 38, 84, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 66)(27, 85)(28, 67)(29, 86)(30, 68)(31, 87)(32, 88)(33, 89)(34, 65)(35, 69)(36, 70)(37, 71)(38, 79)(39, 80)(40, 92)(41, 91)(42, 81)(43, 90)(44, 82)(45, 83)(46, 84)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.756
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.772 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-5, T2 * T1 * T2^7, T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-4 * T1, T1^83 * T2^-2 * T1^3 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 37, 83, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 44, 90, 39, 85, 26, 72, 23, 69, 11, 57, 21, 67, 35, 81, 45, 91, 40, 86, 28, 74, 14, 60, 27, 73, 22, 68, 36, 82, 46, 92, 42, 88, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 41, 87, 43, 89, 32, 78, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 38, 84, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 70)(27, 69)(28, 85)(29, 68)(30, 86)(31, 87)(32, 88)(33, 84)(34, 65)(35, 66)(36, 67)(37, 71)(38, 89)(39, 83)(40, 90)(41, 82)(42, 91)(43, 92)(44, 79)(45, 80)(46, 81)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.759
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.773 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^-2 * T2^-1 * T1^-1 * T2^-3, T1^-10 * T2^2 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 22, 68, 32, 78, 39, 85, 46, 92, 44, 90, 35, 81, 26, 72, 29, 75, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 23, 69, 11, 57, 21, 67, 31, 77, 38, 84, 41, 87, 43, 89, 34, 80, 37, 83, 28, 74, 16, 62, 6, 52, 15, 61, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 30, 76, 33, 79, 40, 86, 42, 88, 45, 91, 36, 82, 27, 73, 14, 60, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 71)(16, 73)(17, 70)(18, 74)(19, 69)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 75)(26, 80)(27, 81)(28, 82)(29, 83)(30, 65)(31, 66)(32, 67)(33, 68)(34, 88)(35, 89)(36, 90)(37, 91)(38, 76)(39, 77)(40, 78)(41, 79)(42, 85)(43, 86)(44, 87)(45, 92)(46, 84)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.754
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.774 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2, T1), (F * T1)^2, T1 * T2^-1 * T1 * T2^-3 * T1, T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-6, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 14, 60, 27, 73, 36, 82, 45, 91, 42, 88, 39, 85, 30, 76, 33, 79, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 16, 62, 6, 52, 15, 61, 28, 74, 37, 83, 34, 80, 43, 89, 38, 84, 41, 87, 32, 78, 23, 69, 11, 57, 21, 67, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 29, 75, 26, 72, 35, 81, 44, 90, 46, 92, 40, 86, 31, 77, 22, 68, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 65)(17, 74)(18, 66)(19, 75)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 67)(26, 80)(27, 81)(28, 82)(29, 83)(30, 68)(31, 69)(32, 70)(33, 71)(34, 88)(35, 89)(36, 90)(37, 91)(38, 76)(39, 77)(40, 78)(41, 79)(42, 86)(43, 85)(44, 84)(45, 92)(46, 87)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.757
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.775 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2), (F * T2)^2, (F * T1)^2, T1^5 * T2^-4, T2^-3 * T1^4 * T2^-1 * T1, T1^-3 * T2^-1 * T1^-1 * T2^-5, T2^-1 * T1^-1 * T2^-1 * T1^-17 * T2^-2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 46, 92, 37, 83, 32, 78, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 45, 91, 38, 84, 22, 68, 36, 82, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 44, 90, 39, 85, 23, 69, 11, 57, 21, 67, 35, 81, 28, 74, 14, 60, 27, 73, 43, 89, 40, 86, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 26, 72, 42, 88, 41, 87, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 79)(27, 88)(28, 80)(29, 89)(30, 81)(31, 90)(32, 82)(33, 91)(34, 65)(35, 66)(36, 67)(37, 68)(38, 69)(39, 70)(40, 71)(41, 83)(42, 92)(43, 87)(44, 86)(45, 85)(46, 84)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.752
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.776 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^2 * T2^-2 * T1^-2 * T2, T2^3 * T1 * T2 * T1^4, T2^-4 * T1 * T2^-1 * T1^3 * T2^-1, T1^3 * T2^40 * T1, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 42, 88, 26, 72, 40, 86, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 43, 89, 28, 74, 14, 60, 27, 73, 39, 85, 23, 69, 11, 57, 21, 67, 35, 81, 44, 90, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 38, 84, 22, 68, 36, 82, 45, 91, 32, 78, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 37, 83, 46, 92, 41, 87, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 87)(27, 86)(28, 88)(29, 85)(30, 89)(31, 84)(32, 90)(33, 83)(34, 65)(35, 66)(36, 67)(37, 68)(38, 69)(39, 70)(40, 71)(41, 91)(42, 92)(43, 79)(44, 80)(45, 81)(46, 82)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.755
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.777 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T2^2 * T1^5, T1^3 * T2^-8 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 30, 76, 40, 86, 36, 82, 26, 72, 14, 60, 23, 69, 11, 57, 21, 67, 32, 78, 42, 88, 39, 85, 29, 75, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 28, 74, 38, 84, 46, 92, 44, 90, 34, 80, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 31, 77, 41, 87, 37, 83, 27, 73, 16, 62, 6, 52, 15, 61, 22, 68, 33, 79, 43, 89, 45, 91, 35, 81, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 70)(15, 69)(16, 72)(17, 68)(18, 73)(19, 74)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 75)(26, 80)(27, 82)(28, 79)(29, 83)(30, 84)(31, 65)(32, 66)(33, 67)(34, 71)(35, 85)(36, 90)(37, 86)(38, 89)(39, 87)(40, 92)(41, 76)(42, 77)(43, 78)(44, 81)(45, 88)(46, 91)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.750
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.778 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^2 * T1^-5, T2^-2 * T1^5, T2^4 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T1^2 * T2 * T1 * T2^7, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 30, 76, 40, 86, 42, 88, 32, 78, 22, 68, 16, 62, 6, 52, 15, 61, 27, 73, 37, 83, 44, 90, 34, 80, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 31, 77, 41, 87, 46, 92, 39, 85, 29, 75, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 28, 74, 38, 84, 43, 89, 33, 79, 23, 69, 11, 57, 21, 67, 14, 60, 26, 72, 36, 82, 45, 91, 35, 81, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 66)(15, 72)(16, 67)(17, 73)(18, 68)(19, 74)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 75)(26, 77)(27, 82)(28, 83)(29, 78)(30, 84)(31, 65)(32, 69)(33, 70)(34, 71)(35, 85)(36, 87)(37, 91)(38, 90)(39, 88)(40, 89)(41, 76)(42, 79)(43, 80)(44, 81)(45, 92)(46, 86)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.753
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.779 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1 * T2^2, (F * T1)^2, (F * T2)^2, T1^23 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 4, 50, 8, 54, 9, 55, 12, 58, 13, 59, 16, 62, 17, 63, 20, 66, 21, 67, 24, 70, 25, 71, 28, 74, 29, 75, 32, 78, 33, 79, 36, 82, 37, 83, 40, 86, 41, 87, 44, 90, 45, 91, 46, 92, 42, 88, 43, 89, 38, 84, 39, 85, 34, 80, 35, 81, 30, 76, 31, 77, 26, 72, 27, 73, 22, 68, 23, 69, 18, 64, 19, 65, 14, 60, 15, 61, 10, 56, 11, 57, 6, 52, 7, 53, 2, 48, 5, 51)
	L = (1, 48)(2, 52)(3, 51)(4, 47)(5, 53)(6, 56)(7, 57)(8, 49)(9, 50)(10, 60)(11, 61)(12, 54)(13, 55)(14, 64)(15, 65)(16, 58)(17, 59)(18, 68)(19, 69)(20, 62)(21, 63)(22, 72)(23, 73)(24, 66)(25, 67)(26, 76)(27, 77)(28, 70)(29, 71)(30, 80)(31, 81)(32, 74)(33, 75)(34, 84)(35, 85)(36, 78)(37, 79)(38, 88)(39, 89)(40, 82)(41, 83)(42, 91)(43, 92)(44, 86)(45, 87)(46, 90)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.748
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.780 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^23, (T2^-1 * T1^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 2, 48, 7, 53, 6, 52, 11, 57, 10, 56, 15, 61, 14, 60, 19, 65, 18, 64, 23, 69, 22, 68, 27, 73, 26, 72, 31, 77, 30, 76, 35, 81, 34, 80, 39, 85, 38, 84, 43, 89, 42, 88, 46, 92, 44, 90, 45, 91, 40, 86, 41, 87, 36, 82, 37, 83, 32, 78, 33, 79, 28, 74, 29, 75, 24, 70, 25, 71, 20, 66, 21, 67, 16, 62, 17, 63, 12, 58, 13, 59, 8, 54, 9, 55, 4, 50, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 49)(6, 56)(7, 57)(8, 50)(9, 51)(10, 60)(11, 61)(12, 54)(13, 55)(14, 64)(15, 65)(16, 58)(17, 59)(18, 68)(19, 69)(20, 62)(21, 63)(22, 72)(23, 73)(24, 66)(25, 67)(26, 76)(27, 77)(28, 70)(29, 71)(30, 80)(31, 81)(32, 74)(33, 75)(34, 84)(35, 85)(36, 78)(37, 79)(38, 88)(39, 89)(40, 82)(41, 83)(42, 90)(43, 92)(44, 86)(45, 87)(46, 91)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.751
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.781 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|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 * T2^13, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 16, 62, 22, 68, 28, 74, 34, 80, 40, 86, 46, 92, 41, 87, 35, 81, 29, 75, 23, 69, 17, 63, 11, 57, 8, 54, 2, 48, 7, 53, 15, 61, 21, 67, 27, 73, 33, 79, 39, 85, 45, 91, 42, 88, 36, 82, 30, 76, 24, 70, 18, 64, 12, 58, 4, 50, 10, 56, 6, 52, 14, 60, 20, 66, 26, 72, 32, 78, 38, 84, 44, 90, 43, 89, 37, 83, 31, 77, 25, 71, 19, 65, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 55)(7, 60)(8, 56)(9, 61)(10, 49)(11, 50)(12, 51)(13, 57)(14, 62)(15, 66)(16, 67)(17, 58)(18, 59)(19, 63)(20, 68)(21, 72)(22, 73)(23, 64)(24, 65)(25, 69)(26, 74)(27, 78)(28, 79)(29, 70)(30, 71)(31, 75)(32, 80)(33, 84)(34, 85)(35, 76)(36, 77)(37, 81)(38, 86)(39, 90)(40, 91)(41, 82)(42, 83)(43, 87)(44, 92)(45, 89)(46, 88)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.746
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.782 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (T2^-1, T1), (F * T2)^2, T2^2 * T1^3, T2^14 * T1^-2, T1^2 * T2^-14, T1 * T2^-1 * T1 * T2^-13 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 16, 62, 22, 68, 28, 74, 34, 80, 40, 86, 44, 90, 38, 84, 32, 78, 26, 72, 20, 66, 14, 60, 6, 52, 12, 58, 4, 50, 10, 56, 17, 63, 23, 69, 29, 75, 35, 81, 41, 87, 45, 91, 39, 85, 33, 79, 27, 73, 21, 67, 15, 61, 8, 54, 2, 48, 7, 53, 11, 57, 18, 64, 24, 70, 30, 76, 36, 82, 42, 88, 46, 92, 43, 89, 37, 83, 31, 77, 25, 71, 19, 65, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 59)(7, 58)(8, 60)(9, 57)(10, 49)(11, 50)(12, 51)(13, 61)(14, 65)(15, 66)(16, 64)(17, 55)(18, 56)(19, 67)(20, 71)(21, 72)(22, 70)(23, 62)(24, 63)(25, 73)(26, 77)(27, 78)(28, 76)(29, 68)(30, 69)(31, 79)(32, 83)(33, 84)(34, 82)(35, 74)(36, 75)(37, 85)(38, 89)(39, 90)(40, 88)(41, 80)(42, 81)(43, 91)(44, 92)(45, 86)(46, 87)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.749
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.783 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-3 * T1^-2 * T2^-3, T1^5 * T2^-1 * T1 * T2^-1 * T1, T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1^-2 * T2^2 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 23, 69, 11, 57, 21, 67, 35, 81, 43, 89, 46, 92, 44, 90, 37, 83, 28, 74, 14, 60, 27, 73, 40, 86, 32, 78, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 42, 88, 38, 84, 22, 68, 36, 82, 26, 72, 39, 85, 45, 91, 41, 87, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 81)(27, 85)(28, 82)(29, 86)(30, 83)(31, 71)(32, 87)(33, 70)(34, 65)(35, 66)(36, 67)(37, 68)(38, 69)(39, 89)(40, 91)(41, 90)(42, 79)(43, 80)(44, 84)(45, 92)(46, 88)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.744
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.784 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^-1 * T2^4 * T1^-1, T1^4 * T2 * T1 * T2 * T1^2, T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^4 * T2^-1 * T1^3 * T2^-2 * T1^4 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 41, 87, 45, 91, 39, 85, 26, 72, 36, 82, 22, 68, 34, 80, 42, 88, 38, 84, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 32, 78, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 40, 86, 28, 74, 14, 60, 27, 73, 35, 81, 43, 89, 46, 92, 44, 90, 37, 83, 23, 69, 11, 57, 21, 67, 33, 79, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 83)(27, 82)(28, 85)(29, 81)(30, 86)(31, 87)(32, 65)(33, 66)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 90)(40, 91)(41, 89)(42, 79)(43, 80)(44, 84)(45, 92)(46, 88)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.747
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.785 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2 * T1 * T2^3, T2 * T1^-1 * T2 * T1^-10, (T2^2 * T1^-1)^23 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 12, 58, 4, 50, 10, 56, 18, 64, 21, 67, 11, 57, 19, 65, 26, 72, 29, 75, 20, 66, 27, 73, 34, 80, 37, 83, 28, 74, 35, 81, 42, 88, 45, 91, 36, 82, 43, 89, 38, 84, 46, 92, 44, 90, 40, 86, 30, 76, 39, 85, 41, 87, 32, 78, 22, 68, 31, 77, 33, 79, 24, 70, 14, 60, 23, 69, 25, 71, 16, 62, 6, 52, 15, 61, 17, 63, 8, 54, 2, 48, 7, 53, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 59)(10, 49)(11, 50)(12, 51)(13, 63)(14, 68)(15, 69)(16, 70)(17, 71)(18, 55)(19, 56)(20, 57)(21, 58)(22, 76)(23, 77)(24, 78)(25, 79)(26, 64)(27, 65)(28, 66)(29, 67)(30, 84)(31, 85)(32, 86)(33, 87)(34, 72)(35, 73)(36, 74)(37, 75)(38, 88)(39, 92)(40, 89)(41, 90)(42, 80)(43, 81)(44, 82)(45, 83)(46, 91)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.742
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.786 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1, T1 * T2 * T1^10 * T2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 8, 54, 2, 48, 7, 53, 17, 63, 16, 62, 6, 52, 15, 61, 25, 71, 24, 70, 14, 60, 23, 69, 33, 79, 32, 78, 22, 68, 31, 77, 41, 87, 40, 86, 30, 76, 39, 85, 43, 89, 46, 92, 38, 84, 44, 90, 35, 81, 42, 88, 45, 91, 36, 82, 27, 73, 34, 80, 37, 83, 28, 74, 19, 65, 26, 72, 29, 75, 20, 66, 11, 57, 18, 64, 21, 67, 12, 58, 4, 50, 10, 56, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 55)(14, 68)(15, 69)(16, 70)(17, 71)(18, 56)(19, 57)(20, 58)(21, 59)(22, 76)(23, 77)(24, 78)(25, 79)(26, 64)(27, 65)(28, 66)(29, 67)(30, 84)(31, 85)(32, 86)(33, 87)(34, 72)(35, 73)(36, 74)(37, 75)(38, 91)(39, 90)(40, 92)(41, 89)(42, 80)(43, 81)(44, 82)(45, 83)(46, 88)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.745
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.787 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-4 * T1^-1 * T2^-2, T1^-7 * T2^-1 * T1^-1 * T2^-1, T1^2 * T2^-1 * T1^4 * T2^-3 * T1, T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^5 * T2^-1 * T1^4 * T2^-2 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 32, 78, 37, 83, 23, 69, 11, 57, 21, 67, 33, 79, 44, 90, 38, 84, 36, 82, 22, 68, 34, 80, 45, 91, 40, 86, 26, 72, 39, 85, 35, 81, 46, 92, 42, 88, 28, 74, 14, 60, 27, 73, 41, 87, 43, 89, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 31, 77, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 71)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 77)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 65)(33, 66)(34, 67)(35, 68)(36, 69)(37, 70)(38, 83)(39, 82)(40, 90)(41, 81)(42, 91)(43, 92)(44, 78)(45, 79)(46, 80)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.740
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.788 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^4 * T1^-1 * T2^2, T1^3 * T2^-1 * T1 * T2^-1 * T1^4, T1^-3 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-2 * T1^-2 * T2^-3 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 31, 77, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 43, 89, 42, 88, 28, 74, 14, 60, 27, 73, 41, 87, 44, 90, 34, 80, 40, 86, 26, 72, 39, 85, 45, 91, 35, 81, 22, 68, 33, 79, 38, 84, 46, 92, 36, 82, 23, 69, 11, 57, 21, 67, 32, 78, 37, 83, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 25, 71, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 65)(26, 84)(27, 85)(28, 86)(29, 87)(30, 88)(31, 89)(32, 66)(33, 67)(34, 68)(35, 69)(36, 70)(37, 71)(38, 78)(39, 92)(40, 79)(41, 91)(42, 80)(43, 90)(44, 81)(45, 82)(46, 83)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.743
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.789 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1), T2^-2 * T1^-4, T2^-10 * T1^3 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 27, 73, 35, 81, 43, 89, 39, 85, 31, 77, 23, 69, 14, 60, 12, 58, 4, 50, 10, 56, 20, 66, 28, 74, 36, 82, 44, 90, 40, 86, 32, 78, 24, 70, 16, 62, 6, 52, 15, 61, 11, 57, 21, 67, 29, 75, 37, 83, 45, 91, 42, 88, 34, 80, 26, 72, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 25, 71, 33, 79, 41, 87, 46, 92, 38, 84, 30, 76, 22, 68, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 59)(15, 58)(16, 69)(17, 57)(18, 70)(19, 71)(20, 55)(21, 56)(22, 72)(23, 68)(24, 77)(25, 67)(26, 78)(27, 79)(28, 65)(29, 66)(30, 80)(31, 76)(32, 85)(33, 75)(34, 86)(35, 87)(36, 73)(37, 74)(38, 88)(39, 84)(40, 89)(41, 83)(42, 90)(43, 92)(44, 81)(45, 82)(46, 91)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.739
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.790 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, T1 * T2 * T1 * T2^9 * T1, 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 * 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 * T2^6 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 27, 73, 35, 81, 43, 89, 42, 88, 34, 80, 26, 72, 18, 64, 8, 54, 2, 48, 7, 53, 17, 63, 25, 71, 33, 79, 41, 87, 44, 90, 36, 82, 28, 74, 20, 66, 11, 57, 16, 62, 6, 52, 15, 61, 24, 70, 32, 78, 40, 86, 45, 91, 37, 83, 29, 75, 21, 67, 12, 58, 4, 50, 10, 56, 14, 60, 23, 69, 31, 77, 39, 85, 46, 92, 38, 84, 30, 76, 22, 68, 13, 59, 5, 51)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 55)(15, 69)(16, 56)(17, 70)(18, 57)(19, 71)(20, 58)(21, 59)(22, 72)(23, 65)(24, 77)(25, 78)(26, 66)(27, 79)(28, 67)(29, 68)(30, 80)(31, 73)(32, 85)(33, 86)(34, 74)(35, 87)(36, 75)(37, 76)(38, 88)(39, 81)(40, 92)(41, 91)(42, 82)(43, 90)(44, 83)(45, 84)(46, 89)
	local type(s) :: { ( 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46, 23, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.741
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 46 f = 3
	degree seq :: [ 92 ]

E22.791 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-22, T2^23, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 6, 52, 12, 58, 15, 61, 20, 66, 23, 69, 28, 74, 31, 77, 36, 82, 39, 85, 44, 90, 46, 92, 41, 87, 38, 84, 33, 79, 30, 76, 25, 71, 22, 68, 17, 63, 14, 60, 9, 55, 5, 51)(2, 48, 7, 53, 11, 57, 16, 62, 19, 65, 24, 70, 27, 73, 32, 78, 35, 81, 40, 86, 43, 89, 45, 91, 42, 88, 37, 83, 34, 80, 29, 75, 26, 72, 21, 67, 18, 64, 13, 59, 10, 56, 4, 50, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 57)(7, 58)(8, 49)(9, 50)(10, 51)(11, 61)(12, 62)(13, 55)(14, 56)(15, 65)(16, 66)(17, 59)(18, 60)(19, 69)(20, 70)(21, 63)(22, 64)(23, 73)(24, 74)(25, 67)(26, 68)(27, 77)(28, 78)(29, 71)(30, 72)(31, 81)(32, 82)(33, 75)(34, 76)(35, 85)(36, 86)(37, 79)(38, 80)(39, 89)(40, 90)(41, 83)(42, 84)(43, 92)(44, 91)(45, 87)(46, 88)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.766
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.792 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2, (F * T2)^2, (F * T1)^2, T2^23, (T2^-1 * T1^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 7, 53, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 45, 91, 41, 87, 37, 83, 33, 79, 29, 75, 25, 71, 21, 67, 17, 63, 13, 59, 9, 55, 5, 51)(2, 48, 6, 52, 10, 56, 14, 60, 18, 64, 22, 68, 26, 72, 30, 76, 34, 80, 38, 84, 42, 88, 46, 92, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54, 4, 50)
	L = (1, 48)(2, 49)(3, 52)(4, 47)(5, 50)(6, 53)(7, 56)(8, 51)(9, 54)(10, 57)(11, 60)(12, 55)(13, 58)(14, 61)(15, 64)(16, 59)(17, 62)(18, 65)(19, 68)(20, 63)(21, 66)(22, 69)(23, 72)(24, 67)(25, 70)(26, 73)(27, 76)(28, 71)(29, 74)(30, 77)(31, 80)(32, 75)(33, 78)(34, 81)(35, 84)(36, 79)(37, 82)(38, 85)(39, 88)(40, 83)(41, 86)(42, 89)(43, 92)(44, 87)(45, 90)(46, 91)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.761
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.793 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1^-1), (F * T2)^2, (F * T1)^2, T1^-2 * T2 * T1^-1 * T2 * T1^-3, T2^5 * T1 * T2 * T1 * T2, T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^4 * T1^-1 * T2^3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 36, 82, 23, 69, 11, 57, 21, 67, 26, 72, 39, 85, 45, 91, 46, 92, 41, 87, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 38, 84, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 31, 77, 37, 83, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 43, 89, 44, 90, 35, 81, 22, 68, 28, 74, 14, 60, 27, 73, 40, 86, 42, 88, 32, 78, 18, 64, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 66)(27, 85)(28, 67)(29, 86)(30, 68)(31, 84)(32, 87)(33, 83)(34, 65)(35, 69)(36, 70)(37, 71)(38, 88)(39, 80)(40, 91)(41, 81)(42, 92)(43, 79)(44, 82)(45, 89)(46, 90)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.768
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.794 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-1 * T1^-6 * T2^-1, T2^2 * T1^-1 * T2 * T1^-1 * T2^4, T1^-1 * T2^-3 * T1^4 * T2^-2 * T1^4 * T2^-2 * T1^4 * T2^-2 * T1^-1 * T2^-3, T1 * T2^-4 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^4 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 41, 87, 46, 92, 45, 91, 39, 85, 26, 72, 23, 69, 11, 57, 21, 67, 35, 81, 38, 84, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 31, 77, 42, 88, 40, 86, 28, 74, 14, 60, 27, 73, 22, 68, 36, 82, 43, 89, 44, 90, 37, 83, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 32, 78, 18, 64, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 70)(27, 69)(28, 85)(29, 68)(30, 86)(31, 87)(32, 79)(33, 88)(34, 65)(35, 66)(36, 67)(37, 71)(38, 80)(39, 83)(40, 91)(41, 82)(42, 92)(43, 81)(44, 84)(45, 90)(46, 89)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.767
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.795 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-1 * T2 * T1^-3, T2^5 * T1^-2 * T2^-1 * T1^-1 * T2^-3 * T1^-1, T1 * T2 * T1 * T2^10, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 17, 63, 25, 71, 33, 79, 41, 87, 43, 89, 35, 81, 27, 73, 19, 65, 11, 57, 6, 52, 14, 60, 22, 68, 30, 76, 38, 84, 45, 91, 37, 83, 29, 75, 21, 67, 13, 59, 5, 51)(2, 48, 7, 53, 15, 61, 23, 69, 31, 77, 39, 85, 44, 90, 36, 82, 28, 74, 20, 66, 12, 58, 4, 50, 10, 56, 18, 64, 26, 72, 34, 80, 42, 88, 46, 92, 40, 86, 32, 78, 24, 70, 16, 62, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 56)(7, 60)(8, 57)(9, 61)(10, 49)(11, 50)(12, 51)(13, 62)(14, 64)(15, 68)(16, 65)(17, 69)(18, 55)(19, 58)(20, 59)(21, 70)(22, 72)(23, 76)(24, 73)(25, 77)(26, 63)(27, 66)(28, 67)(29, 78)(30, 80)(31, 84)(32, 81)(33, 85)(34, 71)(35, 74)(36, 75)(37, 86)(38, 88)(39, 91)(40, 89)(41, 90)(42, 79)(43, 82)(44, 83)(45, 92)(46, 87)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.763
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.796 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T1 * T2 * T1^3, T1 * T2^-1 * T1 * T2^-10, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-4 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 17, 63, 25, 71, 33, 79, 41, 87, 38, 84, 30, 76, 22, 68, 14, 60, 6, 52, 11, 57, 19, 65, 27, 73, 35, 81, 43, 89, 45, 91, 37, 83, 29, 75, 21, 67, 13, 59, 5, 51)(2, 48, 7, 53, 15, 61, 23, 69, 31, 77, 39, 85, 46, 92, 44, 90, 36, 82, 28, 74, 20, 66, 12, 58, 4, 50, 10, 56, 18, 64, 26, 72, 34, 80, 42, 88, 40, 86, 32, 78, 24, 70, 16, 62, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 58)(7, 57)(8, 60)(9, 61)(10, 49)(11, 50)(12, 51)(13, 62)(14, 66)(15, 65)(16, 68)(17, 69)(18, 55)(19, 56)(20, 59)(21, 70)(22, 74)(23, 73)(24, 76)(25, 77)(26, 63)(27, 64)(28, 67)(29, 78)(30, 82)(31, 81)(32, 84)(33, 85)(34, 71)(35, 72)(36, 75)(37, 86)(38, 90)(39, 89)(40, 87)(41, 92)(42, 79)(43, 80)(44, 83)(45, 88)(46, 91)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.760
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.797 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1 * T2^4 * T1, T2^2 * T1^-1 * T2 * T1^-7, T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 23, 69, 11, 57, 21, 67, 32, 78, 41, 87, 45, 91, 34, 80, 43, 89, 38, 84, 26, 72, 37, 83, 40, 86, 29, 75, 16, 62, 6, 52, 15, 61, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 31, 77, 35, 81, 22, 68, 33, 79, 42, 88, 36, 82, 46, 92, 44, 90, 39, 85, 28, 74, 14, 60, 27, 73, 30, 76, 18, 64, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 71)(18, 75)(19, 70)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 76)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 65)(32, 66)(33, 67)(34, 68)(35, 69)(36, 87)(37, 92)(38, 88)(39, 89)(40, 90)(41, 77)(42, 78)(43, 79)(44, 80)(45, 81)(46, 91)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.769
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.798 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^6, T2^7 * T1^-1 * T2 * T1^-1, T1 * T2^5 * T1 * T2^2 * T1^2, (T1^-1 * T2^-1)^46 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 31, 77, 40, 86, 28, 74, 16, 62, 6, 52, 15, 61, 27, 73, 39, 85, 45, 91, 35, 81, 23, 69, 11, 57, 21, 67, 33, 79, 43, 89, 37, 83, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 29, 75, 41, 87, 44, 90, 34, 80, 22, 68, 14, 60, 26, 72, 38, 84, 46, 92, 36, 82, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 32, 78, 42, 88, 30, 76, 18, 64, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 67)(15, 72)(16, 68)(17, 73)(18, 74)(19, 75)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 76)(26, 79)(27, 84)(28, 80)(29, 85)(30, 86)(31, 87)(32, 65)(33, 66)(34, 69)(35, 70)(36, 71)(37, 88)(38, 89)(39, 92)(40, 90)(41, 91)(42, 77)(43, 78)(44, 81)(45, 82)(46, 83)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.765
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.799 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1^3, T2^8 * T1^2, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-5, T1^2 * T2^-1 * T1^2 * T2^-1 * T1^2 * T2^3, T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-4 * 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 * 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 * T1^3 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 31, 77, 43, 89, 35, 81, 23, 69, 11, 57, 21, 67, 33, 79, 45, 91, 40, 86, 28, 74, 16, 62, 6, 52, 15, 61, 27, 73, 39, 85, 37, 83, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 29, 75, 41, 87, 36, 82, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 32, 78, 44, 90, 38, 84, 26, 72, 14, 60, 22, 68, 34, 80, 46, 92, 42, 88, 30, 76, 18, 64, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 69)(15, 68)(16, 72)(17, 73)(18, 74)(19, 75)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 76)(26, 81)(27, 80)(28, 84)(29, 85)(30, 86)(31, 87)(32, 65)(33, 66)(34, 67)(35, 70)(36, 71)(37, 88)(38, 89)(39, 92)(40, 90)(41, 83)(42, 91)(43, 82)(44, 77)(45, 78)(46, 79)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.762
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.800 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {23, 46, 46})
Quotient :: loop
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^-1 * T2^-5, T1^4 * T2 * T1^4, T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-3 * T1, T2^83 * T1^-2 * T2^3 ]
Map:: non-degenerate
	R = (1, 47, 3, 49, 9, 55, 19, 65, 33, 79, 23, 69, 11, 57, 21, 67, 35, 81, 44, 90, 39, 85, 26, 72, 37, 83, 46, 92, 42, 88, 30, 76, 16, 62, 6, 52, 15, 61, 29, 75, 25, 71, 13, 59, 5, 51)(2, 48, 7, 53, 17, 63, 31, 77, 24, 70, 12, 58, 4, 50, 10, 56, 20, 66, 34, 80, 43, 89, 38, 84, 22, 68, 36, 82, 45, 91, 41, 87, 28, 74, 14, 60, 27, 73, 40, 86, 32, 78, 18, 64, 8, 54)
	L = (1, 48)(2, 52)(3, 53)(4, 47)(5, 54)(6, 60)(7, 61)(8, 62)(9, 63)(10, 49)(11, 50)(12, 51)(13, 64)(14, 72)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 78)(26, 84)(27, 83)(28, 85)(29, 86)(30, 87)(31, 71)(32, 88)(33, 70)(34, 65)(35, 66)(36, 67)(37, 68)(38, 69)(39, 89)(40, 92)(41, 90)(42, 91)(43, 79)(44, 80)(45, 81)(46, 82)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible
Dual of E22.764
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y1)^2, Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1^21, Y3^-2 * Y1^9 * Y2^2 * Y3^-10, Y3^-2 * Y2^44, Y3 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 47, 2, 48, 6, 52, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 45, 91, 41, 87, 37, 83, 33, 79, 29, 75, 25, 71, 21, 67, 17, 63, 13, 59, 9, 55, 4, 50)(3, 49, 7, 53, 12, 58, 16, 62, 20, 66, 24, 70, 28, 74, 32, 78, 36, 82, 40, 86, 44, 90, 46, 92, 42, 88, 38, 84, 34, 80, 30, 76, 26, 72, 22, 68, 18, 64, 14, 60, 10, 56, 5, 51, 8, 54)(93, 139, 95, 141, 98, 144, 104, 150, 107, 153, 112, 158, 115, 161, 120, 166, 123, 169, 128, 174, 131, 177, 136, 182, 137, 183, 134, 180, 129, 175, 126, 172, 121, 167, 118, 164, 113, 159, 110, 156, 105, 151, 102, 148, 96, 142, 100, 146, 94, 140, 99, 145, 103, 149, 108, 154, 111, 157, 116, 162, 119, 165, 124, 170, 127, 173, 132, 178, 135, 181, 138, 184, 133, 179, 130, 176, 125, 171, 122, 168, 117, 163, 114, 160, 109, 155, 106, 152, 101, 147, 97, 143)
	L = (1, 96)(2, 93)(3, 100)(4, 101)(5, 102)(6, 94)(7, 95)(8, 97)(9, 105)(10, 106)(11, 98)(12, 99)(13, 109)(14, 110)(15, 103)(16, 104)(17, 113)(18, 114)(19, 107)(20, 108)(21, 117)(22, 118)(23, 111)(24, 112)(25, 121)(26, 122)(27, 115)(28, 116)(29, 125)(30, 126)(31, 119)(32, 120)(33, 129)(34, 130)(35, 123)(36, 124)(37, 133)(38, 134)(39, 127)(40, 128)(41, 137)(42, 138)(43, 131)(44, 132)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.861
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.802 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^23, Y1^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 10, 56, 14, 60, 18, 64, 22, 68, 26, 72, 30, 76, 34, 80, 38, 84, 42, 88, 45, 91, 41, 87, 37, 83, 33, 79, 29, 75, 25, 71, 21, 67, 17, 63, 13, 59, 9, 55, 4, 50)(3, 49, 5, 51, 7, 53, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 46, 92, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54)(93, 139, 95, 141, 96, 142, 100, 146, 101, 147, 104, 150, 105, 151, 108, 154, 109, 155, 112, 158, 113, 159, 116, 162, 117, 163, 120, 166, 121, 167, 124, 170, 125, 171, 128, 174, 129, 175, 132, 178, 133, 179, 136, 182, 137, 183, 138, 184, 134, 180, 135, 181, 130, 176, 131, 177, 126, 172, 127, 173, 122, 168, 123, 169, 118, 164, 119, 165, 114, 160, 115, 161, 110, 156, 111, 157, 106, 152, 107, 153, 102, 148, 103, 149, 98, 144, 99, 145, 94, 140, 97, 143)
	L = (1, 96)(2, 93)(3, 100)(4, 101)(5, 95)(6, 94)(7, 97)(8, 104)(9, 105)(10, 98)(11, 99)(12, 108)(13, 109)(14, 102)(15, 103)(16, 112)(17, 113)(18, 106)(19, 107)(20, 116)(21, 117)(22, 110)(23, 111)(24, 120)(25, 121)(26, 114)(27, 115)(28, 124)(29, 125)(30, 118)(31, 119)(32, 128)(33, 129)(34, 122)(35, 123)(36, 132)(37, 133)(38, 126)(39, 127)(40, 136)(41, 137)(42, 130)(43, 131)(44, 138)(45, 134)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.851
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.803 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y2^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3^23, Y1^23, (Y3 * Y2^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 10, 56, 14, 60, 18, 64, 22, 68, 26, 72, 30, 76, 34, 80, 38, 84, 42, 88, 44, 90, 40, 86, 36, 82, 32, 78, 28, 74, 24, 70, 20, 66, 16, 62, 12, 58, 8, 54, 4, 50)(3, 49, 7, 53, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 46, 92, 45, 91, 41, 87, 37, 83, 33, 79, 29, 75, 25, 71, 21, 67, 17, 63, 13, 59, 9, 55, 5, 51)(93, 139, 95, 141, 94, 140, 99, 145, 98, 144, 103, 149, 102, 148, 107, 153, 106, 152, 111, 157, 110, 156, 115, 161, 114, 160, 119, 165, 118, 164, 123, 169, 122, 168, 127, 173, 126, 172, 131, 177, 130, 176, 135, 181, 134, 180, 138, 184, 136, 182, 137, 183, 132, 178, 133, 179, 128, 174, 129, 175, 124, 170, 125, 171, 120, 166, 121, 167, 116, 162, 117, 163, 112, 158, 113, 159, 108, 154, 109, 155, 104, 150, 105, 151, 100, 146, 101, 147, 96, 142, 97, 143)
	L = (1, 96)(2, 93)(3, 97)(4, 100)(5, 101)(6, 94)(7, 95)(8, 104)(9, 105)(10, 98)(11, 99)(12, 108)(13, 109)(14, 102)(15, 103)(16, 112)(17, 113)(18, 106)(19, 107)(20, 116)(21, 117)(22, 110)(23, 111)(24, 120)(25, 121)(26, 114)(27, 115)(28, 124)(29, 125)(30, 118)(31, 119)(32, 128)(33, 129)(34, 122)(35, 123)(36, 132)(37, 133)(38, 126)(39, 127)(40, 136)(41, 137)(42, 130)(43, 131)(44, 134)(45, 138)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.854
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.804 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3, Y2^-1), (Y1^-1, Y2^-1), Y1 * Y2^-1 * Y3 * Y2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, Y1^-2 * Y2^-2 * Y3^-2 * Y2^2, Y2^-5 * Y1^-1 * Y2^-1 * Y3, Y1^5 * Y2^-1 * Y1^2 * Y2^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y1 * Y3^-4, Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-4 * Y2 * Y1 * Y2 * Y3^-1, Y2^2 * Y1^-2 * Y3^2 * Y2^2 * Y3^2 * Y2^-2 * Y1^-1, Y2 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 40, 86, 45, 91, 46, 92, 42, 88, 33, 79, 24, 70, 13, 59, 18, 64, 30, 76, 37, 83, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 43, 89, 34, 80, 19, 65, 31, 77, 25, 71, 32, 78, 41, 87, 44, 90, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 36, 82, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 115, 161, 103, 149, 113, 159, 127, 173, 135, 181, 138, 184, 136, 182, 129, 175, 120, 166, 106, 152, 119, 165, 132, 178, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 134, 180, 130, 176, 114, 160, 128, 174, 118, 164, 131, 177, 137, 183, 133, 179, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 126)(20, 127)(21, 128)(22, 129)(23, 130)(24, 125)(25, 123)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 117)(33, 134)(34, 135)(35, 118)(36, 120)(37, 122)(38, 136)(39, 119)(40, 121)(41, 124)(42, 138)(43, 131)(44, 133)(45, 132)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.847
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.805 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, Y3 * Y1, Y1 * Y3, Y2 * Y3 * Y2^-1 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^3 * Y2 * Y1 * Y2 * Y1 * Y3^-2, Y2 * Y1 * Y2 * Y1^2 * Y3^-4, Y2^-1 * Y3 * Y2^-3 * Y3^-3 * Y2^-2, Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^2 * Y1^-1 * Y2 * Y1^-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 * Y1^2 * Y2^-1 * Y1 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 37, 83, 24, 70, 13, 59, 18, 64, 30, 76, 40, 86, 45, 91, 46, 92, 42, 88, 33, 79, 20, 66, 9, 55, 17, 63, 29, 75, 35, 81, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 36, 82, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 39, 85, 44, 90, 38, 84, 25, 71, 32, 78, 19, 65, 31, 77, 41, 87, 43, 89, 34, 80, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 133, 179, 137, 183, 131, 177, 118, 164, 128, 174, 114, 160, 126, 172, 134, 180, 130, 176, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 132, 178, 120, 166, 106, 152, 119, 165, 127, 173, 135, 181, 138, 184, 136, 182, 129, 175, 115, 161, 103, 149, 113, 159, 125, 171, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 124)(20, 125)(21, 126)(22, 127)(23, 128)(24, 129)(25, 130)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 117)(33, 134)(34, 135)(35, 121)(36, 119)(37, 118)(38, 136)(39, 120)(40, 122)(41, 123)(42, 138)(43, 133)(44, 131)(45, 132)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.850
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (Y2, Y3^-1), Y2^2 * Y3^-1 * Y2^2, Y1^3 * Y2^-1 * Y1^3 * Y3^-5 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-10, Y2 * Y3 * Y2 * Y3^3 * Y2^2 * Y3^4 * Y2^2 * Y3^2, Y2 * Y3^3 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^4 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 22, 68, 30, 76, 38, 84, 42, 88, 34, 80, 26, 72, 18, 64, 9, 55, 13, 59, 17, 63, 25, 71, 33, 79, 41, 87, 44, 90, 36, 82, 28, 74, 20, 66, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 23, 69, 31, 77, 39, 85, 46, 92, 45, 91, 37, 83, 29, 75, 21, 67, 12, 58, 5, 51, 8, 54, 16, 62, 24, 70, 32, 78, 40, 86, 43, 89, 35, 81, 27, 73, 19, 65, 10, 56)(93, 139, 95, 141, 101, 147, 104, 150, 96, 142, 102, 148, 110, 156, 113, 159, 103, 149, 111, 157, 118, 164, 121, 167, 112, 158, 119, 165, 126, 172, 129, 175, 120, 166, 127, 173, 134, 180, 137, 183, 128, 174, 135, 181, 130, 176, 138, 184, 136, 182, 132, 178, 122, 168, 131, 177, 133, 179, 124, 170, 114, 160, 123, 169, 125, 171, 116, 162, 106, 152, 115, 161, 117, 163, 108, 154, 98, 144, 107, 153, 109, 155, 100, 146, 94, 140, 99, 145, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 110)(10, 111)(11, 112)(12, 113)(13, 101)(14, 98)(15, 99)(16, 100)(17, 105)(18, 118)(19, 119)(20, 120)(21, 121)(22, 106)(23, 107)(24, 108)(25, 109)(26, 126)(27, 127)(28, 128)(29, 129)(30, 114)(31, 115)(32, 116)(33, 117)(34, 134)(35, 135)(36, 136)(37, 137)(38, 122)(39, 123)(40, 124)(41, 125)(42, 130)(43, 132)(44, 133)(45, 138)(46, 131)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.845
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-4 * Y3^-1, Y1^3 * Y2 * Y1^2 * Y2 * Y1^2 * Y3^-4, Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^8 * Y2, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 47, 2, 48, 6, 52, 14, 60, 22, 68, 30, 76, 38, 84, 45, 91, 37, 83, 29, 75, 21, 67, 13, 59, 9, 55, 17, 63, 25, 71, 33, 79, 41, 87, 43, 89, 35, 81, 27, 73, 19, 65, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 23, 69, 31, 77, 39, 85, 44, 90, 36, 82, 28, 74, 20, 66, 12, 58, 5, 51, 8, 54, 16, 62, 24, 70, 32, 78, 40, 86, 46, 92, 42, 88, 34, 80, 26, 72, 18, 64, 10, 56)(93, 139, 95, 141, 101, 147, 100, 146, 94, 140, 99, 145, 109, 155, 108, 154, 98, 144, 107, 153, 117, 163, 116, 162, 106, 152, 115, 161, 125, 171, 124, 170, 114, 160, 123, 169, 133, 179, 132, 178, 122, 168, 131, 177, 135, 181, 138, 184, 130, 176, 136, 182, 127, 173, 134, 180, 137, 183, 128, 174, 119, 165, 126, 172, 129, 175, 120, 166, 111, 157, 118, 164, 121, 167, 112, 158, 103, 149, 110, 156, 113, 159, 104, 150, 96, 142, 102, 148, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 105)(10, 110)(11, 111)(12, 112)(13, 113)(14, 98)(15, 99)(16, 100)(17, 101)(18, 118)(19, 119)(20, 120)(21, 121)(22, 106)(23, 107)(24, 108)(25, 109)(26, 126)(27, 127)(28, 128)(29, 129)(30, 114)(31, 115)(32, 116)(33, 117)(34, 134)(35, 135)(36, 136)(37, 137)(38, 122)(39, 123)(40, 124)(41, 125)(42, 138)(43, 133)(44, 131)(45, 130)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.848
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, Y1^-1 * Y3^-1, (Y3, Y2), (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y2), (R * Y2)^2, Y3^-1 * Y2 * Y1 * Y3^-3 * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2, Y1^3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^-2 * Y3^-1 * Y2^-3 * Y3^-2 * Y2^-3, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-6 * Y3^-1, Y2^-1 * Y1^64 * Y2^-1 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 24, 70, 13, 59, 18, 64, 27, 73, 36, 82, 44, 90, 35, 81, 39, 85, 41, 87, 30, 76, 38, 84, 43, 89, 32, 78, 20, 66, 9, 55, 17, 63, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 26, 72, 34, 80, 25, 71, 29, 75, 37, 83, 40, 86, 46, 92, 45, 91, 42, 88, 31, 77, 19, 65, 28, 74, 33, 79, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 122, 168, 132, 178, 128, 174, 118, 164, 106, 152, 115, 161, 103, 149, 113, 159, 124, 170, 134, 180, 131, 177, 121, 167, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 120, 166, 130, 176, 138, 184, 136, 182, 126, 172, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 123, 169, 133, 179, 129, 175, 119, 165, 108, 154, 98, 144, 107, 153, 114, 160, 125, 171, 135, 181, 137, 183, 127, 173, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 123)(20, 124)(21, 125)(22, 109)(23, 107)(24, 106)(25, 126)(26, 108)(27, 110)(28, 111)(29, 117)(30, 133)(31, 134)(32, 135)(33, 120)(34, 118)(35, 136)(36, 119)(37, 121)(38, 122)(39, 127)(40, 129)(41, 131)(42, 137)(43, 130)(44, 128)(45, 138)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.853
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4 * Y2^-2 * Y3^-1, Y2^-2 * Y1^2 * Y3^-3, Y1^2 * Y2^-2 * Y1^-1 * Y2^-1 * Y3 * Y2^3, Y2 * Y1 * Y2^3 * Y1 * Y2^4 * Y3^-1, Y2^4 * Y3 * Y2^6 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 47, 2, 48, 6, 52, 14, 60, 20, 66, 9, 55, 17, 63, 27, 73, 36, 82, 41, 87, 30, 76, 38, 84, 44, 90, 35, 81, 39, 85, 42, 88, 33, 79, 24, 70, 13, 59, 18, 64, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 26, 72, 31, 77, 19, 65, 28, 74, 37, 83, 45, 91, 46, 92, 40, 86, 43, 89, 34, 80, 25, 71, 29, 75, 32, 78, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 122, 168, 132, 178, 134, 180, 124, 170, 114, 160, 108, 154, 98, 144, 107, 153, 119, 165, 129, 175, 136, 182, 126, 172, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 123, 169, 133, 179, 138, 184, 131, 177, 121, 167, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 120, 166, 130, 176, 135, 181, 125, 171, 115, 161, 103, 149, 113, 159, 106, 152, 118, 164, 128, 174, 137, 183, 127, 173, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 123)(20, 106)(21, 108)(22, 110)(23, 124)(24, 125)(25, 126)(26, 107)(27, 109)(28, 111)(29, 117)(30, 133)(31, 118)(32, 121)(33, 134)(34, 135)(35, 136)(36, 119)(37, 120)(38, 122)(39, 127)(40, 138)(41, 128)(42, 131)(43, 132)(44, 130)(45, 129)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.856
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, (R * Y1)^2, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2^-5 * Y1^-1 * Y2^-1, Y2^2 * Y3 * Y2^-3 * Y3^-1 * Y2, Y1^-6 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1^4 * Y2^-1 * Y1 * Y3^-2 * Y2^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 47, 2, 48, 6, 52, 14, 60, 26, 72, 38, 84, 37, 83, 24, 70, 13, 59, 18, 64, 30, 76, 42, 88, 45, 91, 33, 79, 20, 66, 9, 55, 17, 63, 29, 75, 41, 87, 35, 81, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 36, 82, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 40, 86, 44, 90, 32, 78, 19, 65, 25, 71, 31, 77, 43, 89, 46, 92, 34, 80, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 124, 170, 129, 175, 115, 161, 103, 149, 113, 159, 125, 171, 136, 182, 130, 176, 128, 174, 114, 160, 126, 172, 137, 183, 132, 178, 118, 164, 131, 177, 127, 173, 138, 184, 134, 180, 120, 166, 106, 152, 119, 165, 133, 179, 135, 181, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 123, 169, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 124)(20, 125)(21, 126)(22, 127)(23, 128)(24, 129)(25, 111)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 117)(32, 136)(33, 137)(34, 138)(35, 133)(36, 131)(37, 130)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 132)(45, 134)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.843
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1, Y2^2 * Y1^-1 * Y2^4, Y1^3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^2 * Y3^-1, Y1^-3 * Y2^2 * Y1^-5, Y1^-3 * Y2^4 * Y1^2 * Y2^2, Y1^2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^2 * Y3^-2, (Y2^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 38, 84, 32, 78, 20, 66, 9, 55, 17, 63, 29, 75, 41, 87, 45, 91, 36, 82, 24, 70, 13, 59, 18, 64, 30, 76, 42, 88, 34, 80, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 46, 92, 37, 83, 25, 71, 19, 65, 31, 77, 43, 89, 44, 90, 35, 81, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 40, 86, 33, 79, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 135, 181, 134, 180, 120, 166, 106, 152, 119, 165, 133, 179, 136, 182, 126, 172, 132, 178, 118, 164, 131, 177, 137, 183, 127, 173, 114, 160, 125, 171, 130, 176, 138, 184, 128, 174, 115, 161, 103, 149, 113, 159, 124, 170, 129, 175, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 117)(20, 124)(21, 125)(22, 126)(23, 127)(24, 128)(25, 129)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 130)(33, 132)(34, 134)(35, 136)(36, 137)(37, 138)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 135)(45, 133)(46, 131)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.846
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.812 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y2, Y3^-1), Y2^-1 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3, Y3 * Y2^-1 * Y3 * Y2^-13, Y1^23, 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 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 9, 55, 15, 61, 20, 66, 22, 68, 27, 73, 32, 78, 34, 80, 39, 85, 44, 90, 46, 92, 42, 88, 37, 83, 35, 81, 30, 76, 25, 71, 23, 69, 18, 64, 13, 59, 11, 57, 4, 50)(3, 49, 7, 53, 14, 60, 16, 62, 21, 67, 26, 72, 28, 74, 33, 79, 38, 84, 40, 86, 45, 91, 43, 89, 41, 87, 36, 82, 31, 77, 29, 75, 24, 70, 19, 65, 17, 63, 12, 58, 5, 51, 8, 54, 10, 56)(93, 139, 95, 141, 101, 147, 108, 154, 114, 160, 120, 166, 126, 172, 132, 178, 138, 184, 133, 179, 127, 173, 121, 167, 115, 161, 109, 155, 103, 149, 100, 146, 94, 140, 99, 145, 107, 153, 113, 159, 119, 165, 125, 171, 131, 177, 137, 183, 134, 180, 128, 174, 122, 168, 116, 162, 110, 156, 104, 150, 96, 142, 102, 148, 98, 144, 106, 152, 112, 158, 118, 164, 124, 170, 130, 176, 136, 182, 135, 181, 129, 175, 123, 169, 117, 163, 111, 157, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 98)(10, 100)(11, 105)(12, 109)(13, 110)(14, 99)(15, 101)(16, 106)(17, 111)(18, 115)(19, 116)(20, 107)(21, 108)(22, 112)(23, 117)(24, 121)(25, 122)(26, 113)(27, 114)(28, 118)(29, 123)(30, 127)(31, 128)(32, 119)(33, 120)(34, 124)(35, 129)(36, 133)(37, 134)(38, 125)(39, 126)(40, 130)(41, 135)(42, 138)(43, 137)(44, 131)(45, 132)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.849
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.813 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, Y2 * Y1 * Y2 * Y3^-2, Y2^6 * Y3 * Y2^8 * Y1^-1, Y1^23, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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::
	R = (1, 47, 2, 48, 6, 52, 13, 59, 15, 61, 20, 66, 25, 71, 27, 73, 32, 78, 37, 83, 39, 85, 44, 90, 46, 92, 41, 87, 34, 80, 36, 82, 29, 75, 22, 68, 24, 70, 17, 63, 9, 55, 11, 57, 4, 50)(3, 49, 7, 53, 12, 58, 5, 51, 8, 54, 14, 60, 19, 65, 21, 67, 26, 72, 31, 77, 33, 79, 38, 84, 43, 89, 45, 91, 40, 86, 42, 88, 35, 81, 28, 74, 30, 76, 23, 69, 16, 62, 18, 64, 10, 56)(93, 139, 95, 141, 101, 147, 108, 154, 114, 160, 120, 166, 126, 172, 132, 178, 136, 182, 130, 176, 124, 170, 118, 164, 112, 158, 106, 152, 98, 144, 104, 150, 96, 142, 102, 148, 109, 155, 115, 161, 121, 167, 127, 173, 133, 179, 137, 183, 131, 177, 125, 171, 119, 165, 113, 159, 107, 153, 100, 146, 94, 140, 99, 145, 103, 149, 110, 156, 116, 162, 122, 168, 128, 174, 134, 180, 138, 184, 135, 181, 129, 175, 123, 169, 117, 163, 111, 157, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 109)(10, 110)(11, 101)(12, 99)(13, 98)(14, 100)(15, 105)(16, 115)(17, 116)(18, 108)(19, 106)(20, 107)(21, 111)(22, 121)(23, 122)(24, 114)(25, 112)(26, 113)(27, 117)(28, 127)(29, 128)(30, 120)(31, 118)(32, 119)(33, 123)(34, 133)(35, 134)(36, 126)(37, 124)(38, 125)(39, 129)(40, 137)(41, 138)(42, 132)(43, 130)(44, 131)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.852
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.814 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-4, Y2^3 * Y1 * Y2^5, Y1^3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-4, Y3^-1 * Y1^2 * 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 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 24, 70, 13, 59, 18, 64, 30, 76, 40, 86, 44, 90, 33, 79, 38, 84, 43, 89, 46, 92, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 39, 85, 37, 83, 25, 71, 32, 78, 42, 88, 45, 91, 34, 80, 19, 65, 31, 77, 41, 87, 36, 82, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 129, 175, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 136, 182, 131, 177, 118, 164, 115, 161, 103, 149, 113, 159, 127, 173, 137, 183, 132, 178, 120, 166, 106, 152, 119, 165, 114, 160, 128, 174, 138, 184, 134, 180, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 133, 179, 135, 181, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 130, 176, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 126)(20, 127)(21, 128)(22, 121)(23, 119)(24, 118)(25, 129)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 117)(33, 136)(34, 137)(35, 138)(36, 133)(37, 131)(38, 125)(39, 120)(40, 122)(41, 123)(42, 124)(43, 130)(44, 132)(45, 134)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.862
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.815 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y3^-1), (Y1, Y2^-1), Y2 * Y3 * Y2^-1 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-2, Y1^4 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^3 * Y1^-1 * Y2^5, Y1 * Y2 * Y3^-2 * Y2^2 * Y3^-1 * Y2^3 * Y3^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^2, (Y2^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 20, 66, 9, 55, 17, 63, 29, 75, 40, 86, 46, 92, 38, 84, 33, 79, 43, 89, 44, 90, 36, 82, 24, 70, 13, 59, 18, 64, 30, 76, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 34, 80, 19, 65, 31, 77, 41, 87, 45, 91, 37, 83, 25, 71, 32, 78, 42, 88, 35, 81, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 135, 181, 134, 180, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 133, 179, 136, 182, 127, 173, 114, 160, 120, 166, 106, 152, 119, 165, 132, 178, 137, 183, 128, 174, 115, 161, 103, 149, 113, 159, 118, 164, 131, 177, 138, 184, 129, 175, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 130, 176, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 126)(20, 118)(21, 120)(22, 122)(23, 127)(24, 128)(25, 129)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 117)(33, 130)(34, 131)(35, 134)(36, 136)(37, 137)(38, 138)(39, 119)(40, 121)(41, 123)(42, 124)(43, 125)(44, 135)(45, 133)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.859
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.816 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y1^-1, Y2), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^2 * Y1 * Y2 * Y3^-1 * Y2, Y2^3 * Y3^-1 * Y2 * Y3^-2, Y3^10 * Y2^2, Y3^4 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-4, Y1^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 34, 80, 42, 88, 39, 85, 31, 77, 20, 66, 9, 55, 17, 63, 24, 70, 13, 59, 18, 64, 28, 74, 36, 82, 44, 90, 41, 87, 33, 79, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 25, 71, 29, 75, 37, 83, 45, 91, 46, 92, 38, 84, 30, 76, 19, 65, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 27, 73, 35, 81, 43, 89, 40, 86, 32, 78, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 114, 160, 124, 170, 131, 177, 138, 184, 136, 182, 127, 173, 118, 164, 121, 167, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 115, 161, 103, 149, 113, 159, 123, 169, 130, 176, 133, 179, 135, 181, 126, 172, 129, 175, 120, 166, 108, 154, 98, 144, 107, 153, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 122, 168, 125, 171, 132, 178, 134, 180, 137, 183, 128, 174, 119, 165, 106, 152, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 122)(20, 123)(21, 124)(22, 125)(23, 111)(24, 109)(25, 107)(26, 106)(27, 108)(28, 110)(29, 117)(30, 130)(31, 131)(32, 132)(33, 133)(34, 118)(35, 119)(36, 120)(37, 121)(38, 138)(39, 134)(40, 135)(41, 136)(42, 126)(43, 127)(44, 128)(45, 129)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.857
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.817 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y1)^2, (Y3^-1, Y2), Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2 * Y1^9, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y1^-5, (Y2^-1 * Y3)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 34, 80, 42, 88, 40, 86, 32, 78, 24, 70, 13, 59, 18, 64, 20, 66, 9, 55, 17, 63, 28, 74, 36, 82, 44, 90, 38, 84, 30, 76, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 35, 81, 43, 89, 39, 85, 31, 77, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 19, 65, 29, 75, 37, 83, 45, 91, 46, 92, 41, 87, 33, 79, 25, 71, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 106, 152, 119, 165, 128, 174, 137, 183, 134, 180, 131, 177, 122, 168, 125, 171, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 108, 154, 98, 144, 107, 153, 120, 166, 129, 175, 126, 172, 135, 181, 130, 176, 133, 179, 124, 170, 115, 161, 103, 149, 113, 159, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 121, 167, 118, 164, 127, 173, 136, 182, 138, 184, 132, 178, 123, 169, 114, 160, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 108)(20, 110)(21, 117)(22, 122)(23, 123)(24, 124)(25, 125)(26, 106)(27, 107)(28, 109)(29, 111)(30, 130)(31, 131)(32, 132)(33, 133)(34, 118)(35, 119)(36, 120)(37, 121)(38, 136)(39, 135)(40, 134)(41, 138)(42, 126)(43, 127)(44, 128)(45, 129)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.860
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.818 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y1 * Y3, Y2 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y3^2 * Y2^-1 * Y1^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^2 * Y3^-2, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y3^-3, Y2^6 * Y1^-4, Y2^2 * Y3 * Y2 * Y3 * Y2^3 * Y1^-2, Y1^23, Y1^23, 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 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 41, 87, 45, 91, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 39, 85, 24, 70, 13, 59, 18, 64, 30, 76, 43, 89, 33, 79, 37, 83, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 40, 86, 25, 71, 32, 78, 44, 90, 34, 80, 19, 65, 31, 77, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 42, 88, 46, 92, 36, 82, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 134, 180, 118, 164, 132, 178, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 135, 181, 120, 166, 106, 152, 119, 165, 131, 177, 115, 161, 103, 149, 113, 159, 127, 173, 136, 182, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 130, 176, 114, 160, 128, 174, 137, 183, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 129, 175, 138, 184, 133, 179, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 126)(20, 127)(21, 128)(22, 129)(23, 130)(24, 131)(25, 132)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 117)(33, 135)(34, 136)(35, 137)(36, 138)(37, 125)(38, 123)(39, 121)(40, 119)(41, 118)(42, 120)(43, 122)(44, 124)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.858
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.819 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1^-3 * Y2^4 * Y3, Y2^-1 * Y3^-1 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y3^-3 * Y2^-1, Y3^3 * Y2^-1 * Y3 * Y2^-5, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^3 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 33, 79, 45, 91, 39, 85, 24, 70, 13, 59, 18, 64, 30, 76, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 43, 89, 41, 87, 37, 83, 22, 68, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 27, 73, 42, 88, 46, 92, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 34, 80, 19, 65, 31, 77, 44, 90, 40, 86, 25, 71, 32, 78, 36, 82, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 138, 184, 129, 175, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 137, 183, 130, 176, 114, 160, 128, 174, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 136, 182, 131, 177, 115, 161, 103, 149, 113, 159, 127, 173, 120, 166, 106, 152, 119, 165, 135, 181, 132, 178, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 118, 164, 134, 180, 133, 179, 117, 163, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 114)(12, 115)(13, 116)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 126)(20, 127)(21, 128)(22, 129)(23, 130)(24, 131)(25, 132)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 117)(33, 118)(34, 120)(35, 122)(36, 124)(37, 133)(38, 138)(39, 137)(40, 136)(41, 135)(42, 119)(43, 121)(44, 123)(45, 125)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.855
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.820 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3^4 * Y2^2, Y2 * Y1^-1 * Y2 * Y1^-3, Y2^4 * Y3^2 * Y2^-2 * Y3 * Y1^-1, Y3^-2 * Y1 * Y2^10, Y3^-1 * Y2^2 * Y1^18, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 47, 2, 48, 6, 52, 14, 60, 9, 55, 17, 63, 24, 70, 31, 77, 27, 73, 33, 79, 40, 86, 46, 92, 43, 89, 44, 90, 37, 83, 30, 76, 34, 80, 28, 74, 21, 67, 13, 59, 18, 64, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 23, 69, 19, 65, 25, 71, 32, 78, 39, 85, 35, 81, 41, 87, 45, 91, 38, 84, 42, 88, 36, 82, 29, 75, 22, 68, 26, 72, 20, 66, 12, 58, 5, 51, 8, 54, 16, 62, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 119, 165, 127, 173, 135, 181, 134, 180, 126, 172, 118, 164, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 117, 163, 125, 171, 133, 179, 136, 182, 128, 174, 120, 166, 112, 158, 103, 149, 108, 154, 98, 144, 107, 153, 116, 162, 124, 170, 132, 178, 137, 183, 129, 175, 121, 167, 113, 159, 104, 150, 96, 142, 102, 148, 106, 152, 115, 161, 123, 169, 131, 177, 138, 184, 130, 176, 122, 168, 114, 160, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 106)(10, 108)(11, 110)(12, 112)(13, 113)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 115)(20, 118)(21, 120)(22, 121)(23, 107)(24, 109)(25, 111)(26, 114)(27, 123)(28, 126)(29, 128)(30, 129)(31, 116)(32, 117)(33, 119)(34, 122)(35, 131)(36, 134)(37, 136)(38, 137)(39, 124)(40, 125)(41, 127)(42, 130)(43, 138)(44, 135)(45, 133)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.844
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.821 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (Y2, Y3^-1), (R * Y2)^2, (R * Y1)^2, (Y2, Y1^-1), Y1^2 * Y2 * Y1 * Y2 * Y1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y1^2 * Y2^-1 * Y1 * Y2^-9, Y2^-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 * 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 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 13, 59, 18, 64, 24, 70, 31, 77, 30, 76, 34, 80, 40, 86, 43, 89, 46, 92, 45, 91, 36, 82, 27, 73, 33, 79, 29, 75, 20, 66, 9, 55, 17, 63, 11, 57, 4, 50)(3, 49, 7, 53, 15, 61, 12, 58, 5, 51, 8, 54, 16, 62, 23, 69, 22, 68, 26, 72, 32, 78, 39, 85, 38, 84, 42, 88, 44, 90, 35, 81, 41, 87, 37, 83, 28, 74, 19, 65, 25, 71, 21, 67, 10, 56)(93, 139, 95, 141, 101, 147, 111, 157, 119, 165, 127, 173, 135, 181, 131, 177, 123, 169, 115, 161, 106, 152, 104, 150, 96, 142, 102, 148, 112, 158, 120, 166, 128, 174, 136, 182, 132, 178, 124, 170, 116, 162, 108, 154, 98, 144, 107, 153, 103, 149, 113, 159, 121, 167, 129, 175, 137, 183, 134, 180, 126, 172, 118, 164, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 117, 163, 125, 171, 133, 179, 138, 184, 130, 176, 122, 168, 114, 160, 105, 151, 97, 143)
	L = (1, 96)(2, 93)(3, 102)(4, 103)(5, 104)(6, 94)(7, 95)(8, 97)(9, 112)(10, 113)(11, 109)(12, 107)(13, 106)(14, 98)(15, 99)(16, 100)(17, 101)(18, 105)(19, 120)(20, 121)(21, 117)(22, 115)(23, 108)(24, 110)(25, 111)(26, 114)(27, 128)(28, 129)(29, 125)(30, 123)(31, 116)(32, 118)(33, 119)(34, 122)(35, 136)(36, 137)(37, 133)(38, 131)(39, 124)(40, 126)(41, 127)(42, 130)(43, 132)(44, 134)(45, 138)(46, 135)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.842
Graph:: bipartite
	v = 3 e = 92 f = 47
	degree seq :: [ 46^2, 92 ]

E22.822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^15, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 12, 58, 18, 64, 24, 70, 30, 76, 36, 82, 42, 88, 41, 87, 35, 81, 29, 75, 23, 69, 17, 63, 11, 57, 5, 51, 8, 54, 14, 60, 20, 66, 26, 72, 32, 78, 38, 84, 44, 90, 46, 92, 45, 91, 39, 85, 33, 79, 27, 73, 21, 67, 15, 61, 9, 55, 3, 49, 7, 53, 13, 59, 19, 65, 25, 71, 31, 77, 37, 83, 43, 89, 40, 86, 34, 80, 28, 74, 22, 68, 16, 62, 10, 56, 4, 50)(93, 139, 95, 141, 100, 146, 94, 140, 99, 145, 106, 152, 98, 144, 105, 151, 112, 158, 104, 150, 111, 157, 118, 164, 110, 156, 117, 163, 124, 170, 116, 162, 123, 169, 130, 176, 122, 168, 129, 175, 136, 182, 128, 174, 135, 181, 138, 184, 134, 180, 132, 178, 137, 183, 133, 179, 126, 172, 131, 177, 127, 173, 120, 166, 125, 171, 121, 167, 114, 160, 119, 165, 115, 161, 108, 154, 113, 159, 109, 155, 102, 148, 107, 153, 103, 149, 96, 142, 101, 147, 97, 143)
	L = (1, 95)(2, 99)(3, 100)(4, 101)(5, 93)(6, 105)(7, 106)(8, 94)(9, 97)(10, 107)(11, 96)(12, 111)(13, 112)(14, 98)(15, 103)(16, 113)(17, 102)(18, 117)(19, 118)(20, 104)(21, 109)(22, 119)(23, 108)(24, 123)(25, 124)(26, 110)(27, 115)(28, 125)(29, 114)(30, 129)(31, 130)(32, 116)(33, 121)(34, 131)(35, 120)(36, 135)(37, 136)(38, 122)(39, 127)(40, 137)(41, 126)(42, 132)(43, 138)(44, 128)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.836
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y2^-3 * Y1^-1, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1^-15, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 12, 58, 18, 64, 24, 70, 30, 76, 36, 82, 42, 88, 40, 86, 34, 80, 28, 74, 22, 68, 16, 62, 10, 56, 3, 49, 7, 53, 13, 59, 19, 65, 25, 71, 31, 77, 37, 83, 43, 89, 46, 92, 45, 91, 39, 85, 33, 79, 27, 73, 21, 67, 15, 61, 9, 55, 5, 51, 8, 54, 14, 60, 20, 66, 26, 72, 32, 78, 38, 84, 44, 90, 41, 87, 35, 81, 29, 75, 23, 69, 17, 63, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 96, 142, 102, 148, 107, 153, 103, 149, 108, 154, 113, 159, 109, 155, 114, 160, 119, 165, 115, 161, 120, 166, 125, 171, 121, 167, 126, 172, 131, 177, 127, 173, 132, 178, 137, 183, 133, 179, 134, 180, 138, 184, 136, 182, 128, 174, 135, 181, 130, 176, 122, 168, 129, 175, 124, 170, 116, 162, 123, 169, 118, 164, 110, 156, 117, 163, 112, 158, 104, 150, 111, 157, 106, 152, 98, 144, 105, 151, 100, 146, 94, 140, 99, 145, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 105)(7, 97)(8, 94)(9, 96)(10, 107)(11, 108)(12, 111)(13, 100)(14, 98)(15, 103)(16, 113)(17, 114)(18, 117)(19, 106)(20, 104)(21, 109)(22, 119)(23, 120)(24, 123)(25, 112)(26, 110)(27, 115)(28, 125)(29, 126)(30, 129)(31, 118)(32, 116)(33, 121)(34, 131)(35, 132)(36, 135)(37, 124)(38, 122)(39, 127)(40, 137)(41, 134)(42, 138)(43, 130)(44, 128)(45, 133)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.841
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.824 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2^-5 * Y1, Y1^9 * Y2, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 24, 70, 34, 80, 32, 78, 22, 68, 12, 58, 5, 51, 8, 54, 16, 62, 26, 72, 36, 82, 42, 88, 41, 87, 33, 79, 23, 69, 13, 59, 18, 64, 28, 74, 38, 84, 44, 90, 46, 92, 45, 91, 39, 85, 29, 75, 19, 65, 9, 55, 17, 63, 27, 73, 37, 83, 43, 89, 40, 86, 30, 76, 20, 66, 10, 56, 3, 49, 7, 53, 15, 61, 25, 71, 35, 81, 31, 77, 21, 67, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 120, 166, 108, 154, 98, 144, 107, 153, 119, 165, 130, 176, 118, 164, 106, 152, 117, 163, 129, 175, 136, 182, 128, 174, 116, 162, 127, 173, 135, 181, 138, 184, 134, 180, 126, 172, 123, 169, 132, 178, 137, 183, 133, 179, 124, 170, 113, 159, 122, 168, 131, 177, 125, 171, 114, 160, 103, 149, 112, 158, 121, 167, 115, 161, 104, 150, 96, 142, 102, 148, 111, 157, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 110)(10, 111)(11, 112)(12, 96)(13, 97)(14, 117)(15, 119)(16, 98)(17, 120)(18, 100)(19, 105)(20, 121)(21, 122)(22, 103)(23, 104)(24, 127)(25, 129)(26, 106)(27, 130)(28, 108)(29, 115)(30, 131)(31, 132)(32, 113)(33, 114)(34, 123)(35, 135)(36, 116)(37, 136)(38, 118)(39, 125)(40, 137)(41, 124)(42, 126)(43, 138)(44, 128)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.834
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.825 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y1^-1 * Y2^-2 * Y1 * Y2^2, Y2 * Y1 * Y2^4, Y1^-1 * Y2 * Y1^-8, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 24, 70, 34, 80, 31, 77, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 25, 71, 35, 81, 42, 88, 40, 86, 30, 76, 20, 66, 9, 55, 17, 63, 27, 73, 37, 83, 43, 89, 46, 92, 45, 91, 39, 85, 29, 75, 19, 65, 13, 59, 18, 64, 28, 74, 38, 84, 44, 90, 41, 87, 33, 79, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 26, 72, 36, 82, 32, 78, 22, 68, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 104, 150, 96, 142, 102, 148, 112, 158, 121, 167, 115, 161, 103, 149, 113, 159, 122, 168, 131, 177, 125, 171, 114, 160, 123, 169, 132, 178, 137, 183, 133, 179, 124, 170, 126, 172, 134, 180, 138, 184, 136, 182, 128, 174, 116, 162, 127, 173, 135, 181, 130, 176, 118, 164, 106, 152, 117, 163, 129, 175, 120, 166, 108, 154, 98, 144, 107, 153, 119, 165, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 117)(15, 119)(16, 98)(17, 105)(18, 100)(19, 104)(20, 121)(21, 122)(22, 123)(23, 103)(24, 127)(25, 129)(26, 106)(27, 110)(28, 108)(29, 115)(30, 131)(31, 132)(32, 126)(33, 114)(34, 134)(35, 135)(36, 116)(37, 120)(38, 118)(39, 125)(40, 137)(41, 124)(42, 138)(43, 130)(44, 128)(45, 133)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.837
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.826 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2^6 * Y1^-1 * Y2, Y1^-1 * Y2^-2 * Y1^3 * Y2^2 * Y1^-2, Y2 * Y1^2 * Y2^2 * Y1^4 * Y2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-5, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 40, 86, 33, 79, 19, 65, 31, 77, 45, 91, 37, 83, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 42, 88, 34, 80, 20, 66, 9, 55, 17, 63, 29, 75, 43, 89, 38, 84, 24, 70, 13, 59, 18, 64, 30, 76, 44, 90, 35, 81, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 41, 87, 39, 85, 25, 71, 32, 78, 46, 92, 36, 82, 22, 68, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 138, 184, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 137, 183, 128, 174, 136, 182, 120, 166, 106, 152, 119, 165, 135, 181, 129, 175, 114, 160, 127, 173, 134, 180, 118, 164, 133, 179, 130, 176, 115, 161, 103, 149, 113, 159, 126, 172, 132, 178, 131, 177, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 125, 171, 117, 163, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 124)(20, 125)(21, 126)(22, 127)(23, 103)(24, 104)(25, 105)(26, 133)(27, 135)(28, 106)(29, 137)(30, 108)(31, 138)(32, 110)(33, 117)(34, 132)(35, 134)(36, 136)(37, 114)(38, 115)(39, 116)(40, 131)(41, 130)(42, 118)(43, 129)(44, 120)(45, 128)(46, 122)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.833
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.827 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-6, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^2 * Y1^-3, Y2^2 * Y1^3 * Y2^-2 * Y1^-3, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 40, 86, 33, 79, 25, 71, 32, 78, 46, 92, 36, 82, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 41, 87, 39, 85, 24, 70, 13, 59, 18, 64, 30, 76, 44, 90, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 43, 89, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 42, 88, 34, 80, 19, 65, 31, 77, 45, 91, 37, 83, 22, 68, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 132, 178, 131, 177, 115, 161, 103, 149, 113, 159, 127, 173, 134, 180, 118, 164, 133, 179, 130, 176, 114, 160, 128, 174, 136, 182, 120, 166, 106, 152, 119, 165, 135, 181, 129, 175, 138, 184, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 137, 183, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 117, 163, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 133)(27, 135)(28, 106)(29, 137)(30, 108)(31, 117)(32, 110)(33, 116)(34, 132)(35, 134)(36, 136)(37, 138)(38, 114)(39, 115)(40, 131)(41, 130)(42, 118)(43, 129)(44, 120)(45, 124)(46, 122)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.835
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^10 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 13, 59, 18, 64, 24, 70, 31, 77, 30, 76, 34, 80, 40, 86, 45, 91, 43, 89, 35, 81, 41, 87, 37, 83, 28, 74, 19, 65, 25, 71, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 12, 58, 5, 51, 8, 54, 16, 62, 23, 69, 22, 68, 26, 72, 32, 78, 39, 85, 38, 84, 42, 88, 46, 92, 44, 90, 36, 82, 27, 73, 33, 79, 29, 75, 20, 66, 9, 55, 17, 63, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 119, 165, 127, 173, 134, 180, 126, 172, 118, 164, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 117, 163, 125, 171, 133, 179, 138, 184, 132, 178, 124, 170, 116, 162, 108, 154, 98, 144, 107, 153, 103, 149, 113, 159, 121, 167, 129, 175, 136, 182, 137, 183, 131, 177, 123, 169, 115, 161, 106, 152, 104, 150, 96, 142, 102, 148, 112, 158, 120, 166, 128, 174, 135, 181, 130, 176, 122, 168, 114, 160, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 104)(15, 103)(16, 98)(17, 117)(18, 100)(19, 119)(20, 120)(21, 121)(22, 105)(23, 106)(24, 108)(25, 125)(26, 110)(27, 127)(28, 128)(29, 129)(30, 114)(31, 115)(32, 116)(33, 133)(34, 118)(35, 134)(36, 135)(37, 136)(38, 122)(39, 123)(40, 124)(41, 138)(42, 126)(43, 130)(44, 137)(45, 131)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.832
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^-3 * Y1^-1 * Y2^-8, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 9, 55, 17, 63, 24, 70, 31, 77, 27, 73, 33, 79, 40, 86, 45, 91, 43, 89, 38, 84, 42, 88, 36, 82, 29, 75, 22, 68, 26, 72, 20, 66, 12, 58, 5, 51, 8, 54, 16, 62, 10, 56, 3, 49, 7, 53, 15, 61, 23, 69, 19, 65, 25, 71, 32, 78, 39, 85, 35, 81, 41, 87, 46, 92, 44, 90, 37, 83, 30, 76, 34, 80, 28, 74, 21, 67, 13, 59, 18, 64, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 119, 165, 127, 173, 135, 181, 129, 175, 121, 167, 113, 159, 104, 150, 96, 142, 102, 148, 106, 152, 115, 161, 123, 169, 131, 177, 137, 183, 136, 182, 128, 174, 120, 166, 112, 158, 103, 149, 108, 154, 98, 144, 107, 153, 116, 162, 124, 170, 132, 178, 138, 184, 134, 180, 126, 172, 118, 164, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 117, 163, 125, 171, 133, 179, 130, 176, 122, 168, 114, 160, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 106)(11, 108)(12, 96)(13, 97)(14, 115)(15, 116)(16, 98)(17, 117)(18, 100)(19, 119)(20, 103)(21, 104)(22, 105)(23, 123)(24, 124)(25, 125)(26, 110)(27, 127)(28, 112)(29, 113)(30, 114)(31, 131)(32, 132)(33, 133)(34, 118)(35, 135)(36, 120)(37, 121)(38, 122)(39, 137)(40, 138)(41, 130)(42, 126)(43, 129)(44, 128)(45, 136)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.838
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2), Y2^-2 * Y1 * Y2^-1 * Y1^2 * Y2^-2, Y2^-2 * Y1^-1 * Y2^-2 * Y1^4 * Y2^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-5, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 38, 84, 36, 82, 24, 70, 13, 59, 18, 64, 30, 76, 19, 65, 31, 77, 42, 88, 46, 92, 43, 89, 33, 79, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 35, 81, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 40, 86, 45, 91, 44, 90, 37, 83, 25, 71, 32, 78, 20, 66, 9, 55, 17, 63, 29, 75, 41, 87, 34, 80, 22, 68, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 120, 166, 106, 152, 119, 165, 133, 179, 138, 184, 136, 182, 128, 174, 115, 161, 103, 149, 113, 159, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 132, 178, 118, 164, 131, 177, 126, 172, 135, 181, 129, 175, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 134, 180, 137, 183, 130, 176, 127, 173, 114, 160, 125, 171, 117, 163, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 120)(20, 122)(21, 124)(22, 125)(23, 103)(24, 104)(25, 105)(26, 131)(27, 133)(28, 106)(29, 134)(30, 108)(31, 132)(32, 110)(33, 117)(34, 135)(35, 114)(36, 115)(37, 116)(38, 127)(39, 126)(40, 118)(41, 138)(42, 137)(43, 129)(44, 128)(45, 130)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.839
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^-1 * Y2^-1 * Y1^-1 * Y2^-4 * Y1^-1, Y1^-1 * Y2 * Y1^-7 * Y2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-3 * Y2, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 38, 84, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 25, 71, 32, 78, 42, 88, 46, 92, 43, 89, 33, 79, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 40, 86, 36, 82, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 45, 91, 44, 90, 34, 80, 19, 65, 31, 77, 24, 70, 13, 59, 18, 64, 30, 76, 41, 87, 37, 83, 22, 68, 11, 57, 4, 50)(93, 139, 95, 141, 101, 147, 111, 157, 125, 171, 114, 160, 128, 174, 130, 176, 137, 183, 134, 180, 122, 168, 108, 154, 98, 144, 107, 153, 121, 167, 116, 162, 104, 150, 96, 142, 102, 148, 112, 158, 126, 172, 135, 181, 129, 175, 132, 178, 118, 164, 131, 177, 124, 170, 110, 156, 100, 146, 94, 140, 99, 145, 109, 155, 123, 169, 115, 161, 103, 149, 113, 159, 127, 173, 136, 182, 138, 184, 133, 179, 120, 166, 106, 152, 119, 165, 117, 163, 105, 151, 97, 143)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 131)(27, 117)(28, 106)(29, 116)(30, 108)(31, 115)(32, 110)(33, 114)(34, 135)(35, 136)(36, 130)(37, 132)(38, 137)(39, 124)(40, 118)(41, 120)(42, 122)(43, 129)(44, 138)(45, 134)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.840
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^-2, Y3^-2 * Y2^9 * Y3^-12, Y3^-2 * Y2^21, (Y3^-1 * Y1^-1)^46, (Y3 * Y2^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 138, 184, 133, 179, 130, 176, 125, 171, 122, 168, 117, 163, 114, 160, 109, 155, 106, 152, 101, 147, 96, 142)(95, 141, 99, 145, 97, 143, 100, 146, 104, 150, 108, 154, 112, 158, 116, 162, 120, 166, 124, 170, 128, 174, 132, 178, 136, 182, 137, 183, 134, 180, 129, 175, 126, 172, 121, 167, 118, 164, 113, 159, 110, 156, 105, 151, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 97)(7, 96)(8, 94)(9, 105)(10, 106)(11, 100)(12, 98)(13, 109)(14, 110)(15, 104)(16, 103)(17, 113)(18, 114)(19, 108)(20, 107)(21, 117)(22, 118)(23, 112)(24, 111)(25, 121)(26, 122)(27, 116)(28, 115)(29, 125)(30, 126)(31, 120)(32, 119)(33, 129)(34, 130)(35, 124)(36, 123)(37, 133)(38, 134)(39, 128)(40, 127)(41, 137)(42, 138)(43, 132)(44, 131)(45, 135)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.828
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-3, Y3^-8 * Y2, Y2^2 * Y3 * Y2 * Y3 * Y2 * Y3^4 * Y2, Y2^83 * Y3^2 * Y2^3, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 118, 164, 112, 158, 101, 147, 109, 155, 121, 167, 132, 178, 138, 184, 130, 176, 125, 171, 135, 181, 136, 182, 128, 174, 116, 162, 105, 151, 110, 156, 122, 168, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 119, 165, 131, 177, 126, 172, 111, 157, 123, 169, 133, 179, 137, 183, 129, 175, 117, 163, 124, 170, 134, 180, 127, 173, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 120, 166, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 118)(22, 120)(23, 103)(24, 104)(25, 105)(26, 131)(27, 132)(28, 106)(29, 133)(30, 108)(31, 135)(32, 110)(33, 124)(34, 130)(35, 114)(36, 115)(37, 116)(38, 117)(39, 138)(40, 137)(41, 136)(42, 122)(43, 134)(44, 127)(45, 128)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.826
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), Y3^-1 * Y2^-1 * Y3^-1 * Y2^-5, Y3 * Y2 * Y3^7, Y2^2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-4 * Y2, Y3^-2 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2^2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 118, 164, 116, 162, 105, 151, 110, 156, 122, 168, 132, 178, 136, 182, 125, 171, 130, 176, 135, 181, 138, 184, 127, 173, 112, 158, 101, 147, 109, 155, 121, 167, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 119, 165, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 120, 166, 131, 177, 129, 175, 117, 163, 124, 170, 134, 180, 137, 183, 126, 172, 111, 157, 123, 169, 133, 179, 128, 174, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 115)(27, 114)(28, 106)(29, 133)(30, 108)(31, 130)(32, 110)(33, 129)(34, 136)(35, 137)(36, 138)(37, 116)(38, 117)(39, 118)(40, 120)(41, 135)(42, 122)(43, 124)(44, 131)(45, 132)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.824
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y3^2 * Y2 * Y3 * Y2^2 * Y3, Y2^-1 * Y3^2 * Y2^4 * Y3^2, Y2^-1 * Y3 * Y2^-3 * Y3 * Y2^-6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 118, 164, 126, 172, 134, 180, 131, 177, 123, 169, 112, 158, 101, 147, 109, 155, 116, 162, 105, 151, 110, 156, 120, 166, 128, 174, 136, 182, 133, 179, 125, 171, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 117, 163, 121, 167, 129, 175, 137, 183, 138, 184, 130, 176, 122, 168, 111, 157, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 119, 165, 127, 173, 135, 181, 132, 178, 124, 170, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 117)(15, 116)(16, 98)(17, 115)(18, 100)(19, 114)(20, 122)(21, 123)(22, 124)(23, 103)(24, 104)(25, 105)(26, 121)(27, 106)(28, 108)(29, 110)(30, 125)(31, 130)(32, 131)(33, 132)(34, 129)(35, 118)(36, 119)(37, 120)(38, 133)(39, 138)(40, 134)(41, 135)(42, 137)(43, 126)(44, 127)(45, 128)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.827
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3, Y2), (R * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-3 * Y2, Y2^-3 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-5, Y2^-10 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 118, 164, 126, 172, 134, 180, 132, 178, 124, 170, 116, 162, 105, 151, 110, 156, 112, 158, 101, 147, 109, 155, 120, 166, 128, 174, 136, 182, 130, 176, 122, 168, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 119, 165, 127, 173, 135, 181, 131, 177, 123, 169, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 111, 157, 121, 167, 129, 175, 137, 183, 138, 184, 133, 179, 125, 171, 117, 163, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 120)(16, 98)(17, 121)(18, 100)(19, 106)(20, 108)(21, 110)(22, 117)(23, 103)(24, 104)(25, 105)(26, 127)(27, 128)(28, 129)(29, 118)(30, 125)(31, 114)(32, 115)(33, 116)(34, 135)(35, 136)(36, 137)(37, 126)(38, 133)(39, 122)(40, 123)(41, 124)(42, 131)(43, 130)(44, 138)(45, 134)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.822
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y2^5 * Y3^-4, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-5 * Y2^-1, Y2^3 * Y3^16, Y3^31 * Y2^-2 * Y3^-1 * Y2^-1, (Y2^-1 * Y3)^46, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 118, 164, 125, 171, 137, 183, 131, 177, 116, 162, 105, 151, 110, 156, 122, 168, 127, 173, 112, 158, 101, 147, 109, 155, 121, 167, 135, 181, 133, 179, 129, 175, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 119, 165, 134, 180, 138, 184, 130, 176, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 120, 166, 126, 172, 111, 157, 123, 169, 136, 182, 132, 178, 117, 163, 124, 170, 128, 174, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 134)(27, 135)(28, 106)(29, 136)(30, 108)(31, 137)(32, 110)(33, 138)(34, 118)(35, 120)(36, 122)(37, 124)(38, 114)(39, 115)(40, 116)(41, 117)(42, 133)(43, 132)(44, 131)(45, 130)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.825
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-4 * Y3^-1, Y3^5 * Y2^-1 * Y3 * Y2^-3, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 118, 164, 133, 179, 137, 183, 127, 173, 112, 158, 101, 147, 109, 155, 121, 167, 131, 177, 116, 162, 105, 151, 110, 156, 122, 168, 135, 181, 125, 171, 129, 175, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 119, 165, 132, 178, 117, 163, 124, 170, 136, 182, 126, 172, 111, 157, 123, 169, 130, 176, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 120, 166, 134, 180, 138, 184, 128, 174, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 132)(27, 131)(28, 106)(29, 130)(30, 108)(31, 129)(32, 110)(33, 134)(34, 135)(35, 136)(36, 137)(37, 138)(38, 114)(39, 115)(40, 116)(41, 117)(42, 118)(43, 120)(44, 122)(45, 124)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.829
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^3 * Y3 * Y2 * Y3 * Y2, Y3^-3 * Y2^3 * Y3^-5, Y2 * Y3^-1 * Y2 * Y3^-7 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-4, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 116, 162, 105, 151, 110, 156, 119, 165, 128, 174, 136, 182, 127, 173, 131, 177, 133, 179, 122, 168, 130, 176, 135, 181, 124, 170, 112, 158, 101, 147, 109, 155, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 118, 164, 126, 172, 117, 163, 121, 167, 129, 175, 132, 178, 138, 184, 137, 183, 134, 180, 123, 169, 111, 157, 120, 166, 125, 171, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 115)(15, 114)(16, 98)(17, 120)(18, 100)(19, 122)(20, 123)(21, 124)(22, 125)(23, 103)(24, 104)(25, 105)(26, 106)(27, 108)(28, 130)(29, 110)(30, 132)(31, 133)(32, 134)(33, 135)(34, 116)(35, 117)(36, 118)(37, 119)(38, 138)(39, 121)(40, 128)(41, 129)(42, 131)(43, 137)(44, 126)(45, 127)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.830
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.840 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y3^-2 * Y2^5, Y3^4 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^2 * Y3 * Y2 * Y3^7, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 106, 152, 112, 158, 101, 147, 109, 155, 119, 165, 128, 174, 133, 179, 122, 168, 130, 176, 136, 182, 127, 173, 131, 177, 134, 180, 125, 171, 116, 162, 105, 151, 110, 156, 114, 160, 103, 149, 96, 142)(95, 141, 99, 145, 107, 153, 118, 164, 123, 169, 111, 157, 120, 166, 129, 175, 137, 183, 138, 184, 132, 178, 135, 181, 126, 172, 117, 163, 121, 167, 124, 170, 115, 161, 104, 150, 97, 143, 100, 146, 108, 154, 113, 159, 102, 148)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 118)(15, 119)(16, 98)(17, 120)(18, 100)(19, 122)(20, 123)(21, 106)(22, 108)(23, 103)(24, 104)(25, 105)(26, 128)(27, 129)(28, 130)(29, 110)(30, 132)(31, 133)(32, 114)(33, 115)(34, 116)(35, 117)(36, 137)(37, 136)(38, 135)(39, 121)(40, 134)(41, 138)(42, 124)(43, 125)(44, 126)(45, 127)(46, 131)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.831
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.841 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^23, (Y3 * Y2^-1)^46, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47)(2, 48)(3, 49)(4, 50)(5, 51)(6, 52)(7, 53)(8, 54)(9, 55)(10, 56)(11, 57)(12, 58)(13, 59)(14, 60)(15, 61)(16, 62)(17, 63)(18, 64)(19, 65)(20, 66)(21, 67)(22, 68)(23, 69)(24, 70)(25, 71)(26, 72)(27, 73)(28, 74)(29, 75)(30, 76)(31, 77)(32, 78)(33, 79)(34, 80)(35, 81)(36, 82)(37, 83)(38, 84)(39, 85)(40, 86)(41, 87)(42, 88)(43, 89)(44, 90)(45, 91)(46, 92)(93, 139, 94, 140, 98, 144, 102, 148, 106, 152, 110, 156, 114, 160, 118, 164, 122, 168, 126, 172, 130, 176, 134, 180, 137, 183, 133, 179, 129, 175, 125, 171, 121, 167, 117, 163, 113, 159, 109, 155, 105, 151, 101, 147, 96, 142)(95, 141, 97, 143, 99, 145, 103, 149, 107, 153, 111, 157, 115, 161, 119, 165, 123, 169, 127, 173, 131, 177, 135, 181, 138, 184, 136, 182, 132, 178, 128, 174, 124, 170, 120, 166, 116, 162, 112, 158, 108, 154, 104, 150, 100, 146)
	L = (1, 95)(2, 97)(3, 96)(4, 100)(5, 93)(6, 99)(7, 94)(8, 101)(9, 104)(10, 103)(11, 98)(12, 105)(13, 108)(14, 107)(15, 102)(16, 109)(17, 112)(18, 111)(19, 106)(20, 113)(21, 116)(22, 115)(23, 110)(24, 117)(25, 120)(26, 119)(27, 114)(28, 121)(29, 124)(30, 123)(31, 118)(32, 125)(33, 128)(34, 127)(35, 122)(36, 129)(37, 132)(38, 131)(39, 126)(40, 133)(41, 136)(42, 135)(43, 130)(44, 137)(45, 138)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.823
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.842 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^22, Y3^23, (Y3 * Y2^-1)^23, 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 * 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 * 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, 47, 2, 48, 6, 52, 11, 57, 15, 61, 19, 65, 23, 69, 27, 73, 31, 77, 35, 81, 39, 85, 43, 89, 46, 92, 42, 88, 38, 84, 34, 80, 30, 76, 26, 72, 22, 68, 18, 64, 14, 60, 10, 56, 5, 51, 8, 54, 3, 49, 7, 53, 12, 58, 16, 62, 20, 66, 24, 70, 28, 74, 32, 78, 36, 82, 40, 86, 44, 90, 45, 91, 41, 87, 37, 83, 33, 79, 29, 75, 25, 71, 21, 67, 17, 63, 13, 59, 9, 55, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 98)(4, 100)(5, 93)(6, 104)(7, 103)(8, 94)(9, 97)(10, 96)(11, 108)(12, 107)(13, 102)(14, 101)(15, 112)(16, 111)(17, 106)(18, 105)(19, 116)(20, 115)(21, 110)(22, 109)(23, 120)(24, 119)(25, 114)(26, 113)(27, 124)(28, 123)(29, 118)(30, 117)(31, 128)(32, 127)(33, 122)(34, 121)(35, 132)(36, 131)(37, 126)(38, 125)(39, 136)(40, 135)(41, 130)(42, 129)(43, 137)(44, 138)(45, 134)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.821
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.843 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^4 * Y1^-1 * Y3, Y1^2 * Y3^-1 * Y1^6, (Y3 * Y2^-1)^23, 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 * 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 * 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, 47, 2, 48, 6, 52, 14, 60, 26, 72, 34, 80, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 43, 89, 33, 79, 20, 66, 9, 55, 17, 63, 29, 75, 40, 86, 46, 92, 38, 84, 25, 71, 32, 78, 19, 65, 31, 77, 42, 88, 45, 91, 37, 83, 24, 70, 13, 59, 18, 64, 30, 76, 41, 87, 44, 90, 36, 82, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 35, 81, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 122)(20, 124)(21, 125)(22, 126)(23, 103)(24, 104)(25, 105)(26, 131)(27, 132)(28, 106)(29, 134)(30, 108)(31, 133)(32, 110)(33, 117)(34, 135)(35, 118)(36, 114)(37, 115)(38, 116)(39, 138)(40, 137)(41, 120)(42, 136)(43, 130)(44, 127)(45, 128)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.810
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.844 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-4 * Y1^-1 * Y3^-1, Y1^4 * Y3 * Y1^4, Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-3 * Y1, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 39, 85, 43, 89, 33, 79, 24, 70, 13, 59, 18, 64, 30, 76, 41, 87, 44, 90, 34, 80, 19, 65, 31, 77, 25, 71, 32, 78, 42, 88, 45, 91, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 40, 86, 46, 92, 36, 82, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 37, 83, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 129)(27, 132)(28, 106)(29, 117)(30, 108)(31, 116)(32, 110)(33, 115)(34, 135)(35, 136)(36, 137)(37, 138)(38, 114)(39, 118)(40, 124)(41, 120)(42, 122)(43, 130)(44, 131)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.820
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.845 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|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^-1 * Y1^-3, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-2, Y1 * Y3^-2 * Y1^3 * Y3^5, Y3^-9 * Y1^2 * Y3^-1, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 25, 71, 28, 74, 35, 81, 42, 88, 45, 91, 38, 84, 29, 75, 32, 78, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 24, 70, 13, 59, 18, 64, 27, 73, 34, 80, 41, 87, 44, 90, 37, 83, 40, 86, 31, 77, 20, 66, 9, 55, 17, 63, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 26, 72, 33, 79, 36, 82, 43, 89, 46, 92, 39, 85, 30, 76, 19, 65, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 116)(15, 115)(16, 98)(17, 114)(18, 100)(19, 121)(20, 122)(21, 123)(22, 124)(23, 103)(24, 104)(25, 105)(26, 106)(27, 108)(28, 110)(29, 129)(30, 130)(31, 131)(32, 132)(33, 117)(34, 118)(35, 119)(36, 120)(37, 135)(38, 136)(39, 137)(40, 138)(41, 125)(42, 126)(43, 127)(44, 128)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.806
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-3 * Y3, Y3^-1 * Y1^-1 * Y3^-9 * Y1^-1, (Y3 * Y2^-1)^23, Y1^-1 * Y3^5 * Y1^-2 * 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 * 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 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 19, 65, 28, 74, 35, 81, 42, 88, 45, 91, 40, 86, 33, 79, 30, 76, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 20, 66, 9, 55, 17, 63, 27, 73, 34, 80, 37, 83, 44, 90, 41, 87, 38, 84, 31, 77, 24, 70, 13, 59, 18, 64, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 26, 72, 29, 75, 36, 82, 43, 89, 46, 92, 39, 85, 32, 78, 25, 71, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 118)(15, 119)(16, 98)(17, 120)(18, 100)(19, 121)(20, 106)(21, 108)(22, 110)(23, 103)(24, 104)(25, 105)(26, 126)(27, 127)(28, 128)(29, 129)(30, 114)(31, 115)(32, 116)(33, 117)(34, 134)(35, 135)(36, 136)(37, 137)(38, 122)(39, 123)(40, 124)(41, 125)(42, 138)(43, 133)(44, 132)(45, 131)(46, 130)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.811
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-3 * Y1^3 * Y3^-1, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-3 * Y1^-2, Y3^-11 * Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^23, 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 * 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 * 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, 47, 2, 48, 6, 52, 14, 60, 26, 72, 42, 88, 41, 87, 36, 82, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 43, 89, 40, 86, 25, 71, 32, 78, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 44, 90, 39, 85, 24, 70, 13, 59, 18, 64, 30, 76, 34, 80, 19, 65, 31, 77, 45, 91, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 33, 79, 46, 92, 37, 83, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 135)(27, 136)(28, 106)(29, 137)(30, 108)(31, 138)(32, 110)(33, 118)(34, 120)(35, 122)(36, 124)(37, 133)(38, 114)(39, 115)(40, 116)(41, 117)(42, 132)(43, 131)(44, 130)(45, 129)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.804
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^2 * Y3^-2 * Y1^-2, Y3^2 * Y1 * Y3^2 * Y1^3 * Y3, Y3^2 * Y1^-1 * Y3^2 * Y1^-5, Y1^-2 * Y3^-3 * Y1^35 * Y3^-2 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 42, 88, 33, 79, 38, 84, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 43, 89, 34, 80, 19, 65, 31, 77, 39, 85, 24, 70, 13, 59, 18, 64, 30, 76, 44, 90, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 40, 86, 25, 71, 32, 78, 45, 91, 36, 82, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 41, 87, 46, 92, 37, 83, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 133)(27, 132)(28, 106)(29, 131)(30, 108)(31, 130)(32, 110)(33, 129)(34, 134)(35, 135)(36, 136)(37, 137)(38, 114)(39, 115)(40, 116)(41, 117)(42, 138)(43, 118)(44, 120)(45, 122)(46, 124)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.807
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^3 * Y1 * Y3, Y1^6 * Y3^-1 * Y1 * Y3^-2 * Y1, Y1^-1 * Y3^18 * Y1^-1, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 36, 82, 41, 87, 31, 77, 19, 65, 24, 70, 13, 59, 18, 64, 29, 75, 39, 85, 43, 89, 33, 79, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 37, 83, 46, 92, 45, 91, 35, 81, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 38, 84, 42, 88, 32, 78, 20, 66, 9, 55, 17, 63, 25, 71, 30, 76, 40, 86, 44, 90, 34, 80, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 117)(16, 98)(17, 116)(18, 100)(19, 115)(20, 123)(21, 124)(22, 125)(23, 103)(24, 104)(25, 105)(26, 129)(27, 122)(28, 106)(29, 108)(30, 110)(31, 127)(32, 133)(33, 134)(34, 135)(35, 114)(36, 138)(37, 132)(38, 118)(39, 120)(40, 121)(41, 137)(42, 128)(43, 130)(44, 131)(45, 126)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.812
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^4 * Y1^-1, Y1^3 * Y3 * Y1^2 * Y3^2 * Y1^3, Y1^-2 * Y3 * Y1^-2 * Y3^-3 * Y1^-4 * Y3^-1, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 36, 82, 45, 91, 35, 81, 25, 71, 20, 66, 9, 55, 17, 63, 29, 75, 39, 85, 43, 89, 33, 79, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 38, 84, 46, 92, 41, 87, 31, 77, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 37, 83, 44, 90, 34, 80, 24, 70, 13, 59, 18, 64, 19, 65, 30, 76, 40, 86, 42, 88, 32, 78, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 122)(18, 100)(19, 108)(20, 110)(21, 117)(22, 123)(23, 103)(24, 104)(25, 105)(26, 129)(27, 131)(28, 106)(29, 132)(30, 120)(31, 127)(32, 133)(33, 114)(34, 115)(35, 116)(36, 136)(37, 135)(38, 118)(39, 134)(40, 130)(41, 137)(42, 138)(43, 124)(44, 125)(45, 126)(46, 128)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.805
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^23, (Y3^11 * Y1^-1)^2, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 5, 51, 6, 52, 9, 55, 10, 56, 13, 59, 14, 60, 17, 63, 18, 64, 21, 67, 22, 68, 25, 71, 26, 72, 29, 75, 30, 76, 33, 79, 34, 80, 37, 83, 38, 84, 41, 87, 42, 88, 45, 91, 46, 92, 43, 89, 44, 90, 39, 85, 40, 86, 35, 81, 36, 82, 31, 77, 32, 78, 27, 73, 28, 74, 23, 69, 24, 70, 19, 65, 20, 66, 15, 61, 16, 62, 11, 57, 12, 58, 7, 53, 8, 54, 3, 49, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 96)(3, 99)(4, 100)(5, 93)(6, 94)(7, 103)(8, 104)(9, 97)(10, 98)(11, 107)(12, 108)(13, 101)(14, 102)(15, 111)(16, 112)(17, 105)(18, 106)(19, 115)(20, 116)(21, 109)(22, 110)(23, 119)(24, 120)(25, 113)(26, 114)(27, 123)(28, 124)(29, 117)(30, 118)(31, 127)(32, 128)(33, 121)(34, 122)(35, 131)(36, 132)(37, 125)(38, 126)(39, 135)(40, 136)(41, 129)(42, 130)(43, 137)(44, 138)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.802
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^23, (Y3 * Y2^-1)^23, (Y3^-1 * Y1^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 3, 49, 6, 52, 7, 53, 10, 56, 11, 57, 14, 60, 15, 61, 18, 64, 19, 65, 22, 68, 23, 69, 26, 72, 27, 73, 30, 76, 31, 77, 34, 80, 35, 81, 38, 84, 39, 85, 42, 88, 43, 89, 46, 92, 45, 91, 44, 90, 41, 87, 40, 86, 37, 83, 36, 82, 33, 79, 32, 78, 29, 75, 28, 74, 25, 71, 24, 70, 21, 67, 20, 66, 17, 63, 16, 62, 13, 59, 12, 58, 9, 55, 8, 54, 5, 51, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 98)(3, 99)(4, 94)(5, 93)(6, 102)(7, 103)(8, 96)(9, 97)(10, 106)(11, 107)(12, 100)(13, 101)(14, 110)(15, 111)(16, 104)(17, 105)(18, 114)(19, 115)(20, 108)(21, 109)(22, 118)(23, 119)(24, 112)(25, 113)(26, 122)(27, 123)(28, 116)(29, 117)(30, 126)(31, 127)(32, 120)(33, 121)(34, 130)(35, 131)(36, 124)(37, 125)(38, 134)(39, 135)(40, 128)(41, 129)(42, 138)(43, 137)(44, 132)(45, 133)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.813
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.853 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, Y3 * Y1^-1 * Y3^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-7 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-6, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 20, 66, 26, 72, 32, 78, 38, 84, 44, 90, 43, 89, 37, 83, 31, 77, 25, 71, 19, 65, 13, 59, 10, 56, 3, 49, 7, 53, 15, 61, 21, 67, 27, 73, 33, 79, 39, 85, 45, 91, 42, 88, 36, 82, 30, 76, 24, 70, 18, 64, 12, 58, 5, 51, 8, 54, 9, 55, 16, 62, 22, 68, 28, 74, 34, 80, 40, 86, 46, 92, 41, 87, 35, 81, 29, 75, 23, 69, 17, 63, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 108)(8, 94)(9, 98)(10, 100)(11, 105)(12, 96)(13, 97)(14, 113)(15, 114)(16, 106)(17, 111)(18, 103)(19, 104)(20, 119)(21, 120)(22, 112)(23, 117)(24, 109)(25, 110)(26, 125)(27, 126)(28, 118)(29, 123)(30, 115)(31, 116)(32, 131)(33, 132)(34, 124)(35, 129)(36, 121)(37, 122)(38, 137)(39, 138)(40, 130)(41, 135)(42, 127)(43, 128)(44, 134)(45, 133)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.808
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.854 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3^3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^14 * Y3^-2, Y3^2 * Y1^-14, (Y1^-7 * Y3)^2, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 20, 66, 26, 72, 32, 78, 38, 84, 44, 90, 41, 87, 35, 81, 29, 75, 23, 69, 17, 63, 9, 55, 12, 58, 5, 51, 8, 54, 15, 61, 21, 67, 27, 73, 33, 79, 39, 85, 45, 91, 42, 88, 36, 82, 30, 76, 24, 70, 18, 64, 10, 56, 3, 49, 7, 53, 13, 59, 16, 62, 22, 68, 28, 74, 34, 80, 40, 86, 46, 92, 43, 89, 37, 83, 31, 77, 25, 71, 19, 65, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 105)(7, 104)(8, 94)(9, 103)(10, 109)(11, 110)(12, 96)(13, 97)(14, 108)(15, 98)(16, 100)(17, 111)(18, 115)(19, 116)(20, 114)(21, 106)(22, 107)(23, 117)(24, 121)(25, 122)(26, 120)(27, 112)(28, 113)(29, 123)(30, 127)(31, 128)(32, 126)(33, 118)(34, 119)(35, 129)(36, 133)(37, 134)(38, 132)(39, 124)(40, 125)(41, 135)(42, 136)(43, 137)(44, 138)(45, 130)(46, 131)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.803
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-6 * Y3^-1, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^4, Y1^-1 * Y3^-3 * Y1^4 * Y3^-2 * Y1^4 * Y3^-2 * Y1^4 * Y3^-2 * Y1^-1 * Y3^-3, Y1 * Y3^-4 * Y1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^4, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 24, 70, 13, 59, 18, 64, 30, 76, 40, 86, 45, 91, 44, 90, 38, 84, 34, 80, 19, 65, 31, 77, 41, 87, 36, 82, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 39, 85, 37, 83, 25, 71, 32, 78, 33, 79, 42, 88, 46, 92, 43, 89, 35, 81, 20, 66, 9, 55, 17, 63, 29, 75, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 127)(22, 128)(23, 103)(24, 104)(25, 105)(26, 115)(27, 114)(28, 106)(29, 133)(30, 108)(31, 134)(32, 110)(33, 122)(34, 124)(35, 130)(36, 135)(37, 116)(38, 117)(39, 118)(40, 120)(41, 138)(42, 132)(43, 136)(44, 129)(45, 131)(46, 137)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.819
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-3, Y3^5 * Y1 * Y3 * Y1 * Y3, (Y3 * Y2^-1)^23, Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^4 * Y1^-1 * Y3^3 * Y1^-1 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 26, 72, 20, 66, 9, 55, 17, 63, 29, 75, 40, 86, 45, 91, 43, 89, 33, 79, 37, 83, 25, 71, 32, 78, 41, 87, 35, 81, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 28, 74, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 27, 73, 39, 85, 34, 80, 19, 65, 31, 77, 38, 84, 42, 88, 46, 92, 44, 90, 36, 82, 24, 70, 13, 59, 18, 64, 30, 76, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 119)(15, 121)(16, 98)(17, 123)(18, 100)(19, 125)(20, 126)(21, 118)(22, 120)(23, 103)(24, 104)(25, 105)(26, 131)(27, 132)(28, 106)(29, 130)(30, 108)(31, 129)(32, 110)(33, 128)(34, 135)(35, 114)(36, 115)(37, 116)(38, 117)(39, 137)(40, 134)(41, 122)(42, 124)(43, 136)(44, 127)(45, 138)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.809
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), Y3 * Y1^4, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-10, Y1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-4, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 12, 58, 5, 51, 8, 54, 14, 60, 20, 66, 13, 59, 16, 62, 22, 68, 28, 74, 21, 67, 24, 70, 30, 76, 36, 82, 29, 75, 32, 78, 38, 84, 44, 90, 37, 83, 40, 86, 41, 87, 46, 92, 45, 91, 42, 88, 33, 79, 39, 85, 43, 89, 34, 80, 25, 71, 31, 77, 35, 81, 26, 72, 17, 63, 23, 69, 27, 73, 18, 64, 9, 55, 15, 61, 19, 65, 10, 56, 3, 49, 7, 53, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 103)(7, 107)(8, 94)(9, 109)(10, 110)(11, 111)(12, 96)(13, 97)(14, 98)(15, 115)(16, 100)(17, 117)(18, 118)(19, 119)(20, 104)(21, 105)(22, 106)(23, 123)(24, 108)(25, 125)(26, 126)(27, 127)(28, 112)(29, 113)(30, 114)(31, 131)(32, 116)(33, 133)(34, 134)(35, 135)(36, 120)(37, 121)(38, 122)(39, 138)(40, 124)(41, 130)(42, 132)(43, 137)(44, 128)(45, 129)(46, 136)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.816
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^5 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-3 * Y1^-1, Y1 * Y3 * Y1 * Y3^10, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 10, 56, 3, 49, 7, 53, 14, 60, 18, 64, 9, 55, 15, 61, 22, 68, 26, 72, 17, 63, 23, 69, 30, 76, 34, 80, 25, 71, 31, 77, 38, 84, 42, 88, 33, 79, 39, 85, 45, 91, 46, 92, 41, 87, 44, 90, 37, 83, 40, 86, 43, 89, 36, 82, 29, 75, 32, 78, 35, 81, 28, 74, 21, 67, 24, 70, 27, 73, 20, 66, 13, 59, 16, 62, 19, 65, 12, 58, 5, 51, 8, 54, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 106)(7, 107)(8, 94)(9, 109)(10, 110)(11, 98)(12, 96)(13, 97)(14, 114)(15, 115)(16, 100)(17, 117)(18, 118)(19, 103)(20, 104)(21, 105)(22, 122)(23, 123)(24, 108)(25, 125)(26, 126)(27, 111)(28, 112)(29, 113)(30, 130)(31, 131)(32, 116)(33, 133)(34, 134)(35, 119)(36, 120)(37, 121)(38, 137)(39, 136)(40, 124)(41, 135)(42, 138)(43, 127)(44, 128)(45, 129)(46, 132)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.818
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1^3, Y1^-1 * Y3^-8 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-4 * Y1, Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3^3 * Y1^-1 * Y3, (Y3 * Y2^-1)^23, Y3^3 * Y1^-2 * 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 * 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 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 26, 72, 35, 81, 24, 70, 13, 59, 18, 64, 28, 74, 38, 84, 43, 89, 36, 82, 25, 71, 30, 76, 40, 86, 44, 90, 31, 77, 41, 87, 37, 83, 42, 88, 45, 91, 32, 78, 19, 65, 29, 75, 39, 85, 46, 92, 33, 79, 20, 66, 9, 55, 17, 63, 27, 73, 34, 80, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 114)(15, 119)(16, 98)(17, 121)(18, 100)(19, 123)(20, 124)(21, 125)(22, 126)(23, 103)(24, 104)(25, 105)(26, 106)(27, 131)(28, 108)(29, 133)(30, 110)(31, 135)(32, 136)(33, 137)(34, 138)(35, 115)(36, 116)(37, 117)(38, 118)(39, 129)(40, 120)(41, 128)(42, 122)(43, 127)(44, 130)(45, 132)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.815
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^6, Y3^3 * Y1^-1 * Y3^5 * Y1^-1, Y1 * Y3 * Y1 * Y3^2 * Y1 * Y3^4 * Y1, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 26, 72, 33, 79, 20, 66, 9, 55, 17, 63, 27, 73, 38, 84, 43, 89, 32, 78, 19, 65, 29, 75, 39, 85, 46, 92, 37, 83, 42, 88, 31, 77, 41, 87, 45, 91, 36, 82, 25, 71, 30, 76, 40, 86, 44, 90, 35, 81, 24, 70, 13, 59, 18, 64, 28, 74, 34, 80, 23, 69, 12, 58, 5, 51, 8, 54, 16, 62, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 118)(15, 119)(16, 98)(17, 121)(18, 100)(19, 123)(20, 124)(21, 125)(22, 106)(23, 103)(24, 104)(25, 105)(26, 130)(27, 131)(28, 108)(29, 133)(30, 110)(31, 132)(32, 134)(33, 135)(34, 114)(35, 115)(36, 116)(37, 117)(38, 138)(39, 137)(40, 120)(41, 136)(42, 122)(43, 129)(44, 126)(45, 127)(46, 128)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.817
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, Y1^2 * Y3^4, (R * Y2 * Y3^-1)^2, Y1^10 * Y3^-3, (Y3 * Y2^-1)^23 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 23, 69, 31, 77, 39, 85, 43, 89, 35, 81, 27, 73, 19, 65, 12, 58, 5, 51, 8, 54, 16, 62, 25, 71, 33, 79, 41, 87, 44, 90, 36, 82, 28, 74, 20, 66, 9, 55, 17, 63, 13, 59, 18, 64, 26, 72, 34, 80, 42, 88, 45, 91, 37, 83, 29, 75, 21, 67, 10, 56, 3, 49, 7, 53, 15, 61, 24, 70, 32, 78, 40, 86, 46, 92, 38, 84, 30, 76, 22, 68, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 111)(10, 112)(11, 113)(12, 96)(13, 97)(14, 116)(15, 105)(16, 98)(17, 104)(18, 100)(19, 103)(20, 119)(21, 120)(22, 121)(23, 124)(24, 110)(25, 106)(26, 108)(27, 114)(28, 127)(29, 128)(30, 129)(31, 132)(32, 118)(33, 115)(34, 117)(35, 122)(36, 135)(37, 136)(38, 137)(39, 138)(40, 126)(41, 123)(42, 125)(43, 130)(44, 131)(45, 133)(46, 134)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.801
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {23, 46, 46})
Quotient :: dipole
Aut^+ = C46 (small group id <46, 2>)
Aut   = D92 (small group id <92, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^9 * Y3^3 * Y1, (Y3 * Y2^-1)^23, (Y1^-1 * Y3^-1)^46 ]
Map::
	R = (1, 47, 2, 48, 6, 52, 14, 60, 23, 69, 31, 77, 39, 85, 43, 89, 35, 81, 27, 73, 19, 65, 10, 56, 3, 49, 7, 53, 15, 61, 24, 70, 32, 78, 40, 86, 46, 92, 38, 84, 30, 76, 22, 68, 13, 59, 18, 64, 9, 55, 17, 63, 26, 72, 34, 80, 42, 88, 45, 91, 37, 83, 29, 75, 21, 67, 12, 58, 5, 51, 8, 54, 16, 62, 25, 71, 33, 79, 41, 87, 44, 90, 36, 82, 28, 74, 20, 66, 11, 57, 4, 50)(93, 139)(94, 140)(95, 141)(96, 142)(97, 143)(98, 144)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(104, 150)(105, 151)(106, 152)(107, 153)(108, 154)(109, 155)(110, 156)(111, 157)(112, 158)(113, 159)(114, 160)(115, 161)(116, 162)(117, 163)(118, 164)(119, 165)(120, 166)(121, 167)(122, 168)(123, 169)(124, 170)(125, 171)(126, 172)(127, 173)(128, 174)(129, 175)(130, 176)(131, 177)(132, 178)(133, 179)(134, 180)(135, 181)(136, 182)(137, 183)(138, 184)
	L = (1, 95)(2, 99)(3, 101)(4, 102)(5, 93)(6, 107)(7, 109)(8, 94)(9, 108)(10, 110)(11, 111)(12, 96)(13, 97)(14, 116)(15, 118)(16, 98)(17, 117)(18, 100)(19, 105)(20, 119)(21, 103)(22, 104)(23, 124)(24, 126)(25, 106)(26, 125)(27, 114)(28, 127)(29, 112)(30, 113)(31, 132)(32, 134)(33, 115)(34, 133)(35, 122)(36, 135)(37, 120)(38, 121)(39, 138)(40, 137)(41, 123)(42, 136)(43, 130)(44, 131)(45, 128)(46, 129)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 46, 92 ), ( 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92, 46, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.814
Graph:: bipartite
	v = 47 e = 92 f = 3
	degree seq :: [ 2^46, 92 ]

E22.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
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, Y2^3, Y2^-1 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 10, 58)(5, 53, 8, 56)(7, 55, 13, 61)(9, 57, 15, 63)(11, 59, 17, 65)(12, 60, 18, 66)(14, 62, 20, 68)(16, 64, 22, 70)(19, 67, 25, 73)(21, 69, 27, 75)(23, 71, 29, 77)(24, 72, 30, 78)(26, 74, 32, 80)(28, 76, 34, 82)(31, 79, 37, 85)(33, 81, 39, 87)(35, 83, 41, 89)(36, 84, 42, 90)(38, 86, 44, 92)(40, 88, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 105, 153, 107, 155)(103, 151, 108, 156, 110, 158)(106, 154, 111, 159, 113, 161)(109, 157, 114, 162, 116, 164)(112, 160, 117, 165, 119, 167)(115, 163, 120, 168, 122, 170)(118, 166, 123, 171, 125, 173)(121, 169, 126, 174, 128, 176)(124, 172, 129, 177, 131, 179)(127, 175, 132, 180, 134, 182)(130, 178, 135, 183, 137, 185)(133, 181, 138, 186, 140, 188)(136, 184, 141, 189, 142, 190)(139, 187, 143, 191, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 107)(6, 108)(7, 98)(8, 110)(9, 99)(10, 112)(11, 101)(12, 102)(13, 115)(14, 104)(15, 117)(16, 106)(17, 119)(18, 120)(19, 109)(20, 122)(21, 111)(22, 124)(23, 113)(24, 114)(25, 127)(26, 116)(27, 129)(28, 118)(29, 131)(30, 132)(31, 121)(32, 134)(33, 123)(34, 136)(35, 125)(36, 126)(37, 139)(38, 128)(39, 141)(40, 130)(41, 142)(42, 143)(43, 133)(44, 144)(45, 135)(46, 137)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.868
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.864 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
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, Y2^3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 10, 58)(5, 53, 6, 54)(7, 55, 13, 61)(9, 57, 15, 63)(11, 59, 16, 64)(12, 60, 18, 66)(14, 62, 19, 67)(17, 65, 23, 71)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(24, 72, 30, 78)(25, 73, 31, 79)(29, 77, 35, 83)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(36, 84, 42, 90)(37, 85, 43, 91)(41, 89, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 105, 153, 107, 155)(103, 151, 108, 156, 110, 158)(106, 154, 112, 160, 111, 159)(109, 157, 115, 163, 114, 162)(113, 161, 118, 166, 117, 165)(116, 164, 121, 169, 120, 168)(119, 167, 123, 171, 124, 172)(122, 170, 126, 174, 127, 175)(125, 173, 129, 177, 130, 178)(128, 176, 132, 180, 133, 181)(131, 179, 136, 184, 135, 183)(134, 182, 139, 187, 138, 186)(137, 185, 142, 190, 141, 189)(140, 188, 144, 192, 143, 191)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 107)(6, 108)(7, 98)(8, 110)(9, 99)(10, 113)(11, 101)(12, 102)(13, 116)(14, 104)(15, 117)(16, 118)(17, 106)(18, 120)(19, 121)(20, 109)(21, 111)(22, 112)(23, 125)(24, 114)(25, 115)(26, 128)(27, 129)(28, 130)(29, 119)(30, 132)(31, 133)(32, 122)(33, 123)(34, 124)(35, 137)(36, 126)(37, 127)(38, 140)(39, 141)(40, 142)(41, 131)(42, 143)(43, 144)(44, 134)(45, 135)(46, 136)(47, 138)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.869
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.865 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
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, Y2^3, Y3 * Y2^-1 * Y3, (Y2 * Y3)^2, (Y1 * Y2^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 7, 55)(6, 54, 13, 61)(8, 56, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(14, 62, 21, 69)(18, 66, 25, 73)(19, 67, 26, 74)(20, 68, 27, 75)(22, 70, 28, 76)(23, 71, 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, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 107, 155, 102, 150)(104, 152, 110, 158, 106, 154)(108, 156, 109, 157, 113, 161)(111, 159, 112, 160, 117, 165)(114, 162, 116, 164, 115, 163)(118, 166, 120, 168, 119, 167)(121, 169, 122, 170, 123, 171)(124, 172, 125, 173, 126, 174)(127, 175, 129, 177, 128, 176)(130, 178, 132, 180, 131, 179)(133, 181, 134, 182, 135, 183)(136, 184, 137, 185, 138, 186)(139, 187, 141, 189, 140, 188)(142, 190, 144, 192, 143, 191)
	L = (1, 100)(2, 104)(3, 107)(4, 99)(5, 102)(6, 97)(7, 110)(8, 103)(9, 106)(10, 98)(11, 101)(12, 114)(13, 116)(14, 105)(15, 118)(16, 120)(17, 115)(18, 109)(19, 108)(20, 113)(21, 119)(22, 112)(23, 111)(24, 117)(25, 127)(26, 129)(27, 128)(28, 130)(29, 132)(30, 131)(31, 122)(32, 121)(33, 123)(34, 125)(35, 124)(36, 126)(37, 139)(38, 141)(39, 140)(40, 142)(41, 144)(42, 143)(43, 134)(44, 133)(45, 135)(46, 137)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.870
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.866 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y2 * Y1^-1 * Y2, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 6, 54)(4, 52, 9, 57, 7, 55)(10, 58, 14, 62, 11, 59)(12, 60, 15, 63, 13, 61)(16, 64, 18, 66, 17, 65)(19, 67, 21, 69, 20, 68)(22, 70, 24, 72, 23, 71)(25, 73, 27, 75, 26, 74)(28, 76, 30, 78, 29, 77)(31, 79, 33, 81, 32, 80)(34, 82, 36, 84, 35, 83)(37, 85, 39, 87, 38, 86)(40, 88, 42, 90, 41, 89)(43, 91, 45, 93, 44, 92)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 98, 146, 104, 152, 101, 149, 102, 150)(100, 148, 108, 156, 105, 153, 111, 159, 103, 151, 109, 157)(106, 154, 112, 160, 110, 158, 114, 162, 107, 155, 113, 161)(115, 163, 121, 169, 117, 165, 123, 171, 116, 164, 122, 170)(118, 166, 124, 172, 120, 168, 126, 174, 119, 167, 125, 173)(127, 175, 133, 181, 129, 177, 135, 183, 128, 176, 134, 182)(130, 178, 136, 184, 132, 180, 138, 186, 131, 179, 137, 185)(139, 187, 142, 190, 141, 189, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 105)(3, 106)(4, 98)(5, 103)(6, 107)(7, 97)(8, 110)(9, 101)(10, 104)(11, 99)(12, 115)(13, 116)(14, 102)(15, 117)(16, 118)(17, 119)(18, 120)(19, 111)(20, 108)(21, 109)(22, 114)(23, 112)(24, 113)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 123)(32, 121)(33, 122)(34, 126)(35, 124)(36, 125)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 135)(44, 133)(45, 134)(46, 138)(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, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.867
Graph:: bipartite
	v = 24 e = 96 f = 30
	degree seq :: [ 6^16, 12^8 ]

E22.867 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y2)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 17, 65, 29, 77, 27, 75, 15, 63, 5, 53)(3, 51, 11, 59, 23, 71, 35, 83, 40, 88, 30, 78, 18, 66, 8, 56)(4, 52, 14, 62, 26, 74, 38, 86, 41, 89, 31, 79, 19, 67, 9, 57)(6, 54, 16, 64, 28, 76, 39, 87, 42, 90, 32, 80, 20, 68, 10, 58)(12, 60, 21, 69, 33, 81, 43, 91, 47, 95, 45, 93, 36, 84, 24, 72)(13, 61, 22, 70, 34, 82, 44, 92, 48, 96, 46, 94, 37, 85, 25, 73)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 107, 155)(102, 150, 109, 157)(103, 151, 114, 162)(105, 153, 117, 165)(106, 154, 118, 166)(110, 158, 120, 168)(111, 159, 119, 167)(112, 160, 121, 169)(113, 161, 126, 174)(115, 163, 129, 177)(116, 164, 130, 178)(122, 170, 132, 180)(123, 171, 131, 179)(124, 172, 133, 181)(125, 173, 136, 184)(127, 175, 139, 187)(128, 176, 140, 188)(134, 182, 141, 189)(135, 183, 142, 190)(137, 185, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 109)(5, 110)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 120)(12, 102)(13, 99)(14, 121)(15, 122)(16, 101)(17, 127)(18, 129)(19, 130)(20, 103)(21, 106)(22, 104)(23, 132)(24, 112)(25, 107)(26, 133)(27, 134)(28, 111)(29, 137)(30, 139)(31, 140)(32, 113)(33, 116)(34, 114)(35, 141)(36, 124)(37, 119)(38, 142)(39, 123)(40, 143)(41, 144)(42, 125)(43, 128)(44, 126)(45, 135)(46, 131)(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) :: { ( 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 E22.866
Graph:: simple bipartite
	v = 30 e = 96 f = 24
	degree seq :: [ 4^24, 16^6 ]

E22.868 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 4, 52, 9, 57, 5, 53)(3, 51, 10, 58, 17, 65, 12, 60, 21, 69, 13, 61)(6, 54, 8, 56, 18, 66, 14, 62, 20, 68, 15, 63)(11, 59, 22, 70, 29, 77, 24, 72, 33, 81, 25, 73)(16, 64, 19, 67, 30, 78, 26, 74, 32, 80, 27, 75)(23, 71, 34, 82, 40, 88, 36, 84, 44, 92, 37, 85)(28, 76, 31, 79, 41, 89, 38, 86, 43, 91, 39, 87)(35, 83, 42, 90, 47, 95, 45, 93, 48, 96, 46, 94)(97, 145, 99, 147, 107, 155, 119, 167, 131, 179, 124, 172, 112, 160, 102, 150)(98, 146, 104, 152, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 106, 154)(100, 148, 110, 158, 122, 170, 134, 182, 141, 189, 132, 180, 120, 168, 108, 156)(101, 149, 111, 159, 123, 171, 135, 183, 142, 190, 133, 181, 121, 169, 109, 157)(103, 151, 113, 161, 125, 173, 136, 184, 143, 191, 137, 185, 126, 174, 114, 162)(105, 153, 117, 165, 129, 177, 140, 188, 144, 192, 139, 187, 128, 176, 116, 164)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 103)(6, 110)(7, 101)(8, 116)(9, 98)(10, 117)(11, 120)(12, 99)(13, 113)(14, 102)(15, 114)(16, 122)(17, 109)(18, 111)(19, 128)(20, 104)(21, 106)(22, 129)(23, 132)(24, 107)(25, 125)(26, 112)(27, 126)(28, 134)(29, 121)(30, 123)(31, 139)(32, 115)(33, 118)(34, 140)(35, 141)(36, 119)(37, 136)(38, 124)(39, 137)(40, 133)(41, 135)(42, 144)(43, 127)(44, 130)(45, 131)(46, 143)(47, 142)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E22.863
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 12^8, 16^6 ]

E22.869 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-3 * Y3, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2^-1 * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 4, 52, 9, 57, 5, 53)(3, 51, 11, 59, 21, 69, 13, 61, 17, 65, 10, 58)(6, 54, 15, 63, 20, 68, 14, 62, 18, 66, 8, 56)(12, 60, 22, 70, 29, 77, 25, 73, 33, 81, 23, 71)(16, 64, 19, 67, 30, 78, 26, 74, 32, 80, 27, 75)(24, 72, 35, 83, 44, 92, 37, 85, 40, 88, 34, 82)(28, 76, 39, 87, 43, 91, 38, 86, 41, 89, 31, 79)(36, 84, 42, 90, 47, 95, 46, 94, 48, 96, 45, 93)(97, 145, 99, 147, 108, 156, 120, 168, 132, 180, 124, 172, 112, 160, 102, 150)(98, 146, 104, 152, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 106, 154)(100, 148, 110, 158, 122, 170, 134, 182, 142, 190, 133, 181, 121, 169, 109, 157)(101, 149, 111, 159, 123, 171, 135, 183, 141, 189, 131, 179, 119, 167, 107, 155)(103, 151, 113, 161, 125, 173, 136, 184, 143, 191, 137, 185, 126, 174, 114, 162)(105, 153, 117, 165, 129, 177, 140, 188, 144, 192, 139, 187, 128, 176, 116, 164)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 103)(6, 110)(7, 101)(8, 116)(9, 98)(10, 117)(11, 113)(12, 121)(13, 99)(14, 102)(15, 114)(16, 122)(17, 107)(18, 111)(19, 128)(20, 104)(21, 106)(22, 129)(23, 125)(24, 133)(25, 108)(26, 112)(27, 126)(28, 134)(29, 119)(30, 123)(31, 139)(32, 115)(33, 118)(34, 140)(35, 136)(36, 142)(37, 120)(38, 124)(39, 137)(40, 131)(41, 135)(42, 144)(43, 127)(44, 130)(45, 143)(46, 132)(47, 141)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E22.864
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 12^8, 16^6 ]

E22.870 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3^-1 * Y1^-1)^3, (R * Y2^-1 * Y1 * Y2)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 14, 62, 12, 60, 4, 52)(3, 51, 9, 57, 19, 67, 26, 74, 15, 63, 8, 56)(5, 53, 11, 59, 22, 70, 25, 73, 16, 64, 7, 55)(10, 58, 18, 66, 27, 75, 37, 85, 31, 79, 20, 68)(13, 61, 17, 65, 28, 76, 36, 84, 34, 82, 23, 71)(21, 69, 32, 80, 41, 89, 45, 93, 38, 86, 30, 78)(24, 72, 35, 83, 43, 91, 44, 92, 39, 87, 29, 77)(33, 81, 40, 88, 46, 94, 48, 96, 47, 95, 42, 90)(97, 145, 99, 147, 106, 154, 117, 165, 129, 177, 120, 168, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 136, 184, 126, 174, 114, 162, 104, 152)(100, 148, 107, 155, 119, 167, 131, 179, 138, 186, 128, 176, 116, 164, 105, 153)(102, 150, 111, 159, 123, 171, 134, 182, 142, 190, 135, 183, 124, 172, 112, 160)(108, 156, 115, 163, 127, 175, 137, 185, 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, 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, 108)(15, 104)(16, 103)(17, 124)(18, 123)(19, 122)(20, 106)(21, 128)(22, 121)(23, 109)(24, 131)(25, 112)(26, 111)(27, 133)(28, 132)(29, 120)(30, 117)(31, 116)(32, 137)(33, 136)(34, 119)(35, 139)(36, 130)(37, 127)(38, 126)(39, 125)(40, 142)(41, 141)(42, 129)(43, 140)(44, 135)(45, 134)(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, 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 E22.865
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 12^8, 16^6 ]

E22.871 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
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^-2 * Y3 * Y2^-1, Y2^-2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 13, 61)(6, 54, 14, 62)(7, 55, 17, 65)(8, 56, 18, 66)(10, 58, 15, 63)(11, 59, 16, 64)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(23, 71, 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, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 100, 148, 107, 155, 101, 149)(98, 146, 102, 150, 111, 159, 103, 151, 112, 160, 104, 152)(105, 153, 115, 163, 108, 156, 116, 164, 109, 157, 117, 165)(110, 158, 118, 166, 113, 161, 119, 167, 114, 162, 120, 168)(121, 169, 127, 175, 122, 170, 128, 176, 123, 171, 129, 177)(124, 172, 130, 178, 125, 173, 131, 179, 126, 174, 132, 180)(133, 181, 139, 187, 134, 182, 140, 188, 135, 183, 141, 189)(136, 184, 142, 190, 137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 106)(6, 112)(7, 98)(8, 111)(9, 116)(10, 101)(11, 99)(12, 117)(13, 115)(14, 119)(15, 104)(16, 102)(17, 120)(18, 118)(19, 109)(20, 105)(21, 108)(22, 114)(23, 110)(24, 113)(25, 128)(26, 129)(27, 127)(28, 131)(29, 132)(30, 130)(31, 123)(32, 121)(33, 122)(34, 126)(35, 124)(36, 125)(37, 140)(38, 141)(39, 139)(40, 143)(41, 144)(42, 142)(43, 135)(44, 133)(45, 134)(46, 138)(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) :: { ( 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.874
Graph:: bipartite
	v = 32 e = 96 f = 22
	degree seq :: [ 4^24, 12^8 ]

E22.872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
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^-3 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 13, 61)(6, 54, 14, 62)(7, 55, 17, 65)(8, 56, 18, 66)(10, 58, 16, 64)(11, 59, 15, 63)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(23, 71, 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, 106, 154, 100, 148, 107, 155, 101, 149)(98, 146, 102, 150, 111, 159, 103, 151, 112, 160, 104, 152)(105, 153, 115, 163, 109, 157, 116, 164, 108, 156, 117, 165)(110, 158, 118, 166, 114, 162, 119, 167, 113, 161, 120, 168)(121, 169, 127, 175, 123, 171, 128, 176, 122, 170, 129, 177)(124, 172, 130, 178, 126, 174, 131, 179, 125, 173, 132, 180)(133, 181, 139, 187, 135, 183, 140, 188, 134, 182, 141, 189)(136, 184, 142, 190, 138, 186, 143, 191, 137, 185, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 106)(6, 112)(7, 98)(8, 111)(9, 116)(10, 101)(11, 99)(12, 115)(13, 117)(14, 119)(15, 104)(16, 102)(17, 118)(18, 120)(19, 108)(20, 105)(21, 109)(22, 113)(23, 110)(24, 114)(25, 128)(26, 127)(27, 129)(28, 131)(29, 130)(30, 132)(31, 122)(32, 121)(33, 123)(34, 125)(35, 124)(36, 126)(37, 140)(38, 139)(39, 141)(40, 143)(41, 142)(42, 144)(43, 134)(44, 133)(45, 135)(46, 137)(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) :: { ( 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.876
Graph:: bipartite
	v = 32 e = 96 f = 22
	degree seq :: [ 4^24, 12^8 ]

E22.873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
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, Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^3, Y3 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^6, (Y3^-1 * Y1)^8 ]
Map:: 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, 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, 100)(2, 102)(3, 97)(4, 106)(5, 98)(6, 110)(7, 112)(8, 99)(9, 111)(10, 113)(11, 116)(12, 101)(13, 115)(14, 117)(15, 103)(16, 121)(17, 104)(18, 105)(19, 107)(20, 125)(21, 108)(22, 109)(23, 128)(24, 127)(25, 114)(26, 129)(27, 131)(28, 130)(29, 118)(30, 132)(31, 119)(32, 122)(33, 120)(34, 123)(35, 126)(36, 124)(37, 140)(38, 139)(39, 141)(40, 143)(41, 142)(42, 144)(43, 133)(44, 135)(45, 134)(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) :: { ( 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.875
Graph:: bipartite
	v = 32 e = 96 f = 22
	degree seq :: [ 4^24, 12^8 ]

E22.874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y1^-1, Y2^-1), (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 10, 58, 16, 64)(11, 59, 19, 67, 25, 73)(12, 60, 20, 68, 14, 62)(15, 63, 21, 69, 18, 66)(17, 65, 22, 70, 28, 76)(23, 71, 31, 79, 37, 85)(24, 72, 32, 80, 26, 74)(27, 75, 33, 81, 30, 78)(29, 77, 34, 82, 40, 88)(35, 83, 42, 90, 46, 94)(36, 84, 43, 91, 38, 86)(39, 87, 44, 92, 41, 89)(45, 93, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 119, 167, 131, 179, 125, 173, 113, 161, 102, 150)(98, 146, 104, 152, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 106, 154)(100, 148, 111, 159, 123, 171, 135, 183, 141, 189, 132, 180, 120, 168, 108, 156)(101, 149, 109, 157, 121, 169, 133, 181, 142, 190, 136, 184, 124, 172, 112, 160)(103, 151, 114, 162, 126, 174, 137, 185, 143, 191, 134, 182, 122, 170, 110, 158)(105, 153, 117, 165, 129, 177, 140, 188, 144, 192, 139, 187, 128, 176, 116, 164)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 111)(7, 97)(8, 116)(9, 101)(10, 117)(11, 120)(12, 104)(13, 110)(14, 99)(15, 106)(16, 114)(17, 123)(18, 102)(19, 128)(20, 109)(21, 112)(22, 129)(23, 132)(24, 115)(25, 122)(26, 107)(27, 118)(28, 126)(29, 135)(30, 113)(31, 139)(32, 121)(33, 124)(34, 140)(35, 141)(36, 127)(37, 134)(38, 119)(39, 130)(40, 137)(41, 125)(42, 144)(43, 133)(44, 136)(45, 138)(46, 143)(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, 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 E22.871
Graph:: simple bipartite
	v = 22 e = 96 f = 32
	degree seq :: [ 6^16, 16^6 ]

E22.875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y1^-1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2^8 ]
Map:: 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, 19, 67, 23, 71)(12, 60, 20, 68, 15, 63)(14, 62, 17, 65, 21, 69)(18, 66, 22, 70, 28, 76)(24, 72, 35, 83, 31, 79)(25, 73, 32, 80, 26, 74)(27, 75, 33, 81, 29, 77)(30, 78, 40, 88, 34, 82)(36, 84, 42, 90, 45, 93)(37, 85, 43, 91, 38, 86)(39, 87, 41, 89, 44, 92)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 120, 168, 132, 180, 126, 174, 114, 162, 102, 150)(98, 146, 103, 151, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 105, 153)(100, 148, 110, 158, 123, 171, 135, 183, 142, 190, 134, 182, 121, 169, 111, 159)(101, 149, 106, 154, 119, 167, 131, 179, 141, 189, 136, 184, 124, 172, 112, 160)(104, 152, 113, 161, 125, 173, 137, 185, 143, 191, 133, 181, 122, 170, 108, 156)(109, 157, 117, 165, 129, 177, 140, 188, 144, 192, 139, 187, 128, 176, 116, 164)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 116)(8, 98)(9, 117)(10, 111)(11, 121)(12, 99)(13, 101)(14, 112)(15, 106)(16, 110)(17, 102)(18, 123)(19, 122)(20, 103)(21, 105)(22, 125)(23, 128)(24, 133)(25, 107)(26, 115)(27, 114)(28, 129)(29, 118)(30, 137)(31, 139)(32, 119)(33, 124)(34, 140)(35, 134)(36, 142)(37, 120)(38, 131)(39, 136)(40, 135)(41, 126)(42, 143)(43, 127)(44, 130)(45, 144)(46, 132)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E22.873
Graph:: simple bipartite
	v = 22 e = 96 f = 32
	degree seq :: [ 6^16, 16^6 ]

E22.876 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, R * Y2 * R * Y1 * Y2^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2, Y2^8 ]
Map:: 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, 19, 67, 23, 71)(12, 60, 15, 63, 21, 69)(14, 62, 20, 68, 17, 65)(18, 66, 22, 70, 28, 76)(24, 72, 35, 83, 31, 79)(25, 73, 26, 74, 32, 80)(27, 75, 29, 77, 33, 81)(30, 78, 40, 88, 34, 82)(36, 84, 42, 90, 45, 93)(37, 85, 38, 86, 43, 91)(39, 87, 44, 92, 41, 89)(46, 94, 47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 120, 168, 132, 180, 126, 174, 114, 162, 102, 150)(98, 146, 103, 151, 115, 163, 127, 175, 138, 186, 130, 178, 118, 166, 105, 153)(100, 148, 110, 158, 123, 171, 135, 183, 142, 190, 134, 182, 121, 169, 111, 159)(101, 149, 106, 154, 119, 167, 131, 179, 141, 189, 136, 184, 124, 172, 112, 160)(104, 152, 116, 164, 129, 177, 140, 188, 144, 192, 139, 187, 128, 176, 117, 165)(108, 156, 109, 157, 113, 161, 125, 173, 137, 185, 143, 191, 133, 181, 122, 170)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 111)(8, 98)(9, 110)(10, 117)(11, 121)(12, 99)(13, 101)(14, 105)(15, 103)(16, 116)(17, 102)(18, 123)(19, 128)(20, 112)(21, 106)(22, 129)(23, 122)(24, 133)(25, 107)(26, 119)(27, 114)(28, 125)(29, 124)(30, 137)(31, 134)(32, 115)(33, 118)(34, 135)(35, 139)(36, 142)(37, 120)(38, 127)(39, 130)(40, 140)(41, 126)(42, 144)(43, 131)(44, 136)(45, 143)(46, 132)(47, 141)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E22.872
Graph:: simple bipartite
	v = 22 e = 96 f = 32
	degree seq :: [ 6^16, 16^6 ]

E22.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 18, 66)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 31, 79)(12, 60, 34, 82)(14, 62, 27, 75)(15, 63, 37, 85)(16, 64, 29, 77)(17, 65, 24, 72)(19, 67, 26, 74)(20, 68, 41, 89)(21, 69, 35, 83)(22, 70, 32, 80)(25, 73, 40, 88)(30, 78, 39, 87)(33, 81, 45, 93)(36, 84, 44, 92)(38, 86, 42, 90)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 111, 159)(102, 150, 115, 163, 116, 164)(104, 152, 120, 168, 121, 169)(106, 154, 125, 173, 126, 174)(107, 155, 128, 176, 129, 177)(108, 156, 131, 179, 132, 180)(109, 157, 133, 181, 123, 171)(112, 160, 124, 172, 135, 183)(113, 161, 119, 167, 136, 184)(114, 162, 137, 185, 122, 170)(117, 165, 130, 178, 140, 188)(118, 166, 127, 175, 141, 189)(134, 182, 143, 191, 139, 187)(138, 186, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 102)(5, 112)(6, 97)(7, 117)(8, 106)(9, 122)(10, 98)(11, 108)(12, 99)(13, 127)(14, 134)(15, 135)(16, 113)(17, 101)(18, 138)(19, 119)(20, 124)(21, 118)(22, 103)(23, 131)(24, 142)(25, 137)(26, 123)(27, 105)(28, 139)(29, 109)(30, 114)(31, 125)(32, 143)(33, 111)(34, 144)(35, 115)(36, 110)(37, 130)(38, 132)(39, 129)(40, 128)(41, 140)(42, 126)(43, 116)(44, 121)(45, 120)(46, 141)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.879
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y1 * Y3, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 13, 61)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 16, 64)(8, 56, 18, 66)(9, 57, 19, 67)(10, 58, 20, 68)(12, 60, 17, 65)(21, 69, 35, 83)(22, 70, 37, 85)(23, 71, 38, 86)(24, 72, 34, 82)(25, 73, 39, 87)(26, 74, 32, 80)(27, 75, 29, 77)(28, 76, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(33, 81, 43, 91)(36, 84, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 108, 156, 102, 150)(104, 152, 113, 161, 106, 154)(107, 155, 117, 165, 119, 167)(109, 157, 121, 169, 123, 171)(110, 158, 124, 172, 122, 170)(111, 159, 120, 168, 118, 166)(112, 160, 125, 173, 127, 175)(114, 162, 129, 177, 131, 179)(115, 163, 132, 180, 130, 178)(116, 164, 128, 176, 126, 174)(133, 181, 141, 189, 136, 184)(134, 182, 142, 190, 135, 183)(137, 185, 143, 191, 140, 188)(138, 186, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 108)(4, 99)(5, 102)(6, 97)(7, 113)(8, 103)(9, 106)(10, 98)(11, 118)(12, 101)(13, 122)(14, 123)(15, 119)(16, 126)(17, 105)(18, 130)(19, 131)(20, 127)(21, 111)(22, 117)(23, 120)(24, 107)(25, 110)(26, 121)(27, 124)(28, 109)(29, 116)(30, 125)(31, 128)(32, 112)(33, 115)(34, 129)(35, 132)(36, 114)(37, 135)(38, 136)(39, 141)(40, 142)(41, 139)(42, 140)(43, 143)(44, 144)(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) :: { ( 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.880
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2^2 * Y1^-1 * Y3, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y3 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^6, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y1^-1 * R * Y2 * R * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 28, 76, 22, 70, 5, 53)(3, 51, 13, 61, 37, 85, 32, 80, 29, 77, 16, 64)(4, 52, 18, 66, 12, 60, 31, 79, 44, 92, 19, 67)(6, 54, 24, 72, 17, 65, 41, 89, 27, 75, 9, 57)(7, 55, 14, 62, 40, 88, 46, 94, 21, 69, 26, 74)(10, 58, 33, 81, 30, 78, 39, 87, 42, 90, 23, 71)(11, 59, 34, 82, 20, 68, 45, 93, 36, 84, 15, 63)(25, 73, 38, 86, 43, 91, 48, 96, 47, 95, 35, 83)(97, 145, 99, 147, 110, 158, 137, 185, 124, 172, 128, 176, 117, 165, 102, 150)(98, 146, 105, 153, 127, 175, 141, 189, 118, 166, 113, 161, 100, 148, 107, 155)(101, 149, 116, 164, 106, 154, 125, 173, 104, 152, 111, 159, 135, 183, 109, 157)(103, 151, 121, 169, 114, 162, 120, 168, 142, 190, 144, 192, 140, 188, 123, 171)(108, 156, 131, 179, 129, 177, 130, 178, 115, 163, 139, 187, 138, 186, 132, 180)(112, 160, 119, 167, 134, 182, 122, 170, 133, 181, 126, 174, 143, 191, 136, 184)
	L = (1, 100)(2, 106)(3, 111)(4, 103)(5, 117)(6, 121)(7, 97)(8, 110)(9, 128)(10, 108)(11, 131)(12, 98)(13, 134)(14, 126)(15, 113)(16, 102)(17, 99)(18, 138)(19, 118)(20, 105)(21, 119)(22, 135)(23, 101)(24, 141)(25, 112)(26, 140)(27, 107)(28, 127)(29, 143)(30, 104)(31, 142)(32, 116)(33, 122)(34, 109)(35, 123)(36, 125)(37, 137)(38, 130)(39, 115)(40, 114)(41, 144)(42, 136)(43, 120)(44, 129)(45, 139)(46, 124)(47, 132)(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, 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 E22.877
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 12^8, 16^6 ]

E22.880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y1^6, Y2^3 * Y1^3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 16, 64, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 35, 83, 21, 69, 8, 56)(5, 53, 11, 59, 28, 76, 27, 75, 17, 65, 14, 62)(7, 55, 19, 67, 13, 61, 30, 78, 36, 84, 18, 66)(10, 58, 26, 74, 34, 82, 15, 63, 32, 80, 25, 73)(20, 68, 24, 72, 40, 88, 22, 70, 39, 87, 38, 86)(29, 77, 45, 93, 33, 81, 31, 79, 37, 85, 44, 92)(41, 89, 43, 91, 48, 96, 42, 90, 46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 131, 179, 111, 159, 101, 149)(98, 146, 103, 151, 116, 164, 119, 167, 108, 156, 126, 174, 118, 166, 104, 152)(100, 148, 107, 155, 125, 173, 114, 162, 102, 150, 113, 161, 127, 175, 109, 157)(105, 153, 120, 168, 137, 185, 130, 178, 117, 165, 135, 183, 138, 186, 121, 169)(110, 158, 128, 176, 142, 190, 140, 188, 124, 172, 122, 170, 139, 187, 129, 177)(115, 163, 133, 181, 143, 191, 136, 184, 132, 180, 141, 189, 144, 192, 134, 182)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 112)(7, 115)(8, 99)(9, 119)(10, 122)(11, 124)(12, 100)(13, 126)(14, 101)(15, 128)(16, 108)(17, 110)(18, 103)(19, 109)(20, 120)(21, 104)(22, 135)(23, 131)(24, 136)(25, 106)(26, 130)(27, 113)(28, 123)(29, 141)(30, 132)(31, 133)(32, 121)(33, 127)(34, 111)(35, 117)(36, 114)(37, 140)(38, 116)(39, 134)(40, 118)(41, 139)(42, 142)(43, 144)(44, 125)(45, 129)(46, 143)(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, 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 E22.878
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 12^8, 16^6 ]

E22.881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y1 * Y2^-1)^2, (Y3^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 14, 62)(5, 53, 7, 55)(6, 54, 20, 68)(8, 56, 16, 64)(10, 58, 13, 61)(11, 59, 27, 75)(12, 60, 33, 81)(15, 63, 28, 76)(17, 65, 29, 77)(18, 66, 23, 71)(19, 67, 25, 73)(21, 69, 26, 74)(22, 70, 36, 84)(24, 72, 40, 88)(30, 78, 35, 83)(31, 79, 43, 91)(32, 80, 37, 85)(34, 82, 47, 95)(38, 86, 48, 96)(39, 87, 44, 92)(41, 89, 45, 93)(42, 90, 46, 94)(97, 145, 99, 147, 107, 155, 127, 175, 114, 162, 101, 149)(98, 146, 103, 151, 119, 167, 139, 187, 123, 171, 105, 153)(100, 148, 111, 159, 134, 182, 138, 186, 115, 163, 112, 160)(102, 150, 117, 165, 108, 156, 130, 178, 135, 183, 118, 166)(104, 152, 121, 169, 142, 190, 144, 192, 124, 172, 110, 158)(106, 154, 125, 173, 120, 168, 141, 189, 133, 181, 126, 174)(109, 157, 131, 179, 128, 176, 137, 185, 136, 184, 113, 161)(116, 164, 132, 180, 140, 188, 143, 191, 129, 177, 122, 170)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 113)(6, 97)(7, 120)(8, 106)(9, 122)(10, 98)(11, 128)(12, 109)(13, 99)(14, 132)(15, 107)(16, 131)(17, 115)(18, 118)(19, 101)(20, 103)(21, 134)(22, 137)(23, 140)(24, 116)(25, 119)(26, 124)(27, 126)(28, 105)(29, 142)(30, 143)(31, 138)(32, 111)(33, 125)(34, 127)(35, 135)(36, 133)(37, 110)(38, 136)(39, 112)(40, 117)(41, 114)(42, 130)(43, 144)(44, 121)(45, 139)(46, 129)(47, 123)(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, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.883
Graph:: simple bipartite
	v = 32 e = 96 f = 22
	degree seq :: [ 4^24, 12^8 ]

E22.882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^6, Y2 * Y3^-3 * Y2 * Y3^-1, Y3 * Y1 * Y3 * Y2^-2 * Y1 * Y3^2, (Y2^-3 * Y1)^2, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y2^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: 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, 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, 100)(2, 102)(3, 97)(4, 106)(5, 98)(6, 110)(7, 112)(8, 99)(9, 116)(10, 114)(11, 119)(12, 101)(13, 123)(14, 121)(15, 103)(16, 128)(17, 130)(18, 104)(19, 105)(20, 129)(21, 126)(22, 107)(23, 132)(24, 125)(25, 108)(26, 109)(27, 135)(28, 133)(29, 122)(30, 111)(31, 131)(32, 117)(33, 113)(34, 115)(35, 140)(36, 124)(37, 118)(38, 136)(39, 120)(40, 144)(41, 139)(42, 127)(43, 138)(44, 137)(45, 143)(46, 134)(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) :: { ( 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.884
Graph:: bipartite
	v = 32 e = 96 f = 22
	degree seq :: [ 4^24, 12^8 ]

E22.883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y2^-1 * Y3^-1, (R * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (Y2^-1 * Y3^2)^2, (Y3^-1 * Y2^2)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 9, 57, 7, 55)(4, 52, 14, 62, 16, 64)(6, 54, 10, 58, 8, 56)(11, 59, 21, 69, 13, 61)(12, 60, 22, 70, 20, 68)(15, 63, 37, 85, 39, 87)(17, 65, 36, 84, 35, 83)(18, 66, 24, 72, 23, 71)(19, 67, 26, 74, 25, 73)(27, 75, 33, 81, 29, 77)(28, 76, 34, 82, 32, 80)(30, 78, 40, 88, 42, 90)(31, 79, 44, 92, 41, 89)(38, 86, 43, 91, 45, 93)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 142, 190, 139, 187, 115, 163, 102, 150)(98, 146, 104, 152, 119, 167, 140, 188, 144, 192, 125, 173, 113, 161, 100, 148)(101, 149, 112, 160, 135, 183, 141, 189, 143, 191, 127, 175, 108, 156, 105, 153)(103, 151, 116, 164, 138, 186, 122, 170, 134, 182, 133, 181, 124, 172, 117, 165)(106, 154, 121, 169, 136, 184, 132, 180, 129, 177, 109, 157, 128, 176, 114, 162)(110, 158, 131, 179, 126, 174, 118, 166, 137, 185, 120, 168, 130, 178, 111, 159)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 102)(6, 114)(7, 97)(8, 115)(9, 117)(10, 98)(11, 124)(12, 126)(13, 99)(14, 101)(15, 134)(16, 113)(17, 136)(18, 137)(19, 138)(20, 127)(21, 129)(22, 103)(23, 128)(24, 104)(25, 139)(26, 106)(27, 132)(28, 120)(29, 107)(30, 121)(31, 119)(32, 133)(33, 144)(34, 109)(35, 125)(36, 110)(37, 112)(38, 142)(39, 130)(40, 116)(41, 143)(42, 131)(43, 135)(44, 118)(45, 122)(46, 140)(47, 123)(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, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.881
Graph:: bipartite
	v = 22 e = 96 f = 32
	degree seq :: [ 6^16, 16^6 ]

E22.884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 6, 8})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2, Y2 * Y1^-1 * Y2^-2 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y1^-1, R * Y2 * Y1 * R * Y2^-1, (Y2^-1 * Y1^-1 * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, (Y2^-1 * Y3^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 10, 58)(4, 52, 16, 64, 19, 67)(6, 54, 21, 69, 25, 73)(7, 55, 28, 76, 9, 57)(8, 56, 32, 80, 23, 71)(11, 59, 37, 85, 22, 70)(13, 61, 29, 77, 27, 75)(14, 62, 36, 84, 33, 81)(15, 63, 34, 82, 20, 68)(17, 65, 39, 87, 42, 90)(18, 66, 30, 78, 24, 72)(26, 74, 35, 83, 38, 86)(31, 79, 45, 93, 44, 92)(40, 88, 43, 91, 48, 96)(41, 89, 47, 95, 46, 94)(97, 145, 99, 147, 109, 157, 124, 172, 130, 178, 118, 166, 122, 170, 102, 150)(98, 146, 104, 152, 129, 177, 133, 181, 116, 164, 100, 148, 113, 161, 106, 154)(101, 149, 117, 165, 140, 188, 115, 163, 111, 159, 105, 153, 120, 168, 119, 167)(103, 151, 125, 173, 143, 191, 141, 189, 121, 169, 131, 179, 136, 184, 126, 174)(107, 155, 110, 158, 137, 185, 123, 171, 108, 156, 135, 183, 144, 192, 134, 182)(112, 160, 127, 175, 142, 190, 132, 180, 128, 176, 114, 162, 139, 187, 138, 186)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 120)(7, 97)(8, 127)(9, 131)(10, 122)(11, 98)(12, 116)(13, 136)(14, 112)(15, 99)(16, 101)(17, 137)(18, 121)(19, 129)(20, 117)(21, 125)(22, 135)(23, 113)(24, 142)(25, 130)(26, 143)(27, 102)(28, 140)(29, 107)(30, 115)(31, 103)(32, 111)(33, 144)(34, 104)(35, 108)(36, 106)(37, 109)(38, 124)(39, 128)(40, 132)(41, 126)(42, 133)(43, 123)(44, 139)(45, 119)(46, 134)(47, 138)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E22.882
Graph:: bipartite
	v = 22 e = 96 f = 32
	degree seq :: [ 6^16, 16^6 ]

E22.885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y2^3, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, (Y3 * Y1 * Y3)^2, Y2^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y2^-1 * Y3^-1 * Y1 * Y3 * Y1)^4 ]
Map:: 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, 43, 91)(30, 78, 46, 94)(31, 79, 34, 82)(36, 84, 42, 90)(38, 86, 41, 89)(44, 92, 48, 96)(45, 93, 47, 95)(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, 140, 188, 137, 185)(126, 174, 141, 189, 138, 186)(132, 180, 143, 191, 142, 190)(134, 182, 144, 192, 139, 187)
	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, 140)(30, 109)(31, 112)(32, 141)(33, 142)(34, 115)(35, 139)(36, 120)(37, 143)(38, 116)(39, 119)(40, 144)(41, 123)(42, 121)(43, 129)(44, 128)(45, 125)(46, 131)(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, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.891
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y2^3, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3, (Y3^-1 * Y1 * Y2^-1)^8 ]
Map:: 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, 43, 91)(30, 78, 46, 94)(31, 79, 34, 82)(36, 84, 45, 93)(38, 86, 44, 92)(41, 89, 48, 96)(42, 90, 47, 95)(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, 140, 188, 137, 185)(126, 174, 141, 189, 138, 186)(132, 180, 142, 190, 143, 191)(134, 182, 139, 187, 144, 192)
	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, 140)(30, 109)(31, 112)(32, 141)(33, 143)(34, 115)(35, 144)(36, 120)(37, 142)(38, 116)(39, 119)(40, 139)(41, 123)(42, 121)(43, 133)(44, 128)(45, 125)(46, 136)(47, 131)(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) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.892
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, Y2^4, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y3 * Y2)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, (Y2^-1 * Y3 * Y1)^8 ]
Map:: 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, 46, 94, 48, 96)(42, 90, 45, 93, 47, 95)(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, 141, 189, 127, 175, 142, 190)(132, 180, 143, 191, 133, 181, 144, 192)(137, 185, 139, 187, 138, 186, 140, 188)
	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, 142)(35, 141)(36, 116)(37, 117)(38, 119)(39, 144)(40, 143)(41, 122)(42, 123)(43, 124)(44, 125)(45, 131)(46, 130)(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, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.889
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 6^16, 8^12 ]

E22.888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^3, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y3 * Y2^-2)^2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^8 ]
Map:: 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, 47, 95, 46, 94)(42, 90, 48, 96, 45, 93)(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, 141, 189, 127, 175, 142, 190)(132, 180, 138, 186, 133, 181, 137, 185)(139, 187, 144, 192, 140, 188, 143, 191)
	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, 143)(35, 144)(36, 116)(37, 117)(38, 119)(39, 142)(40, 141)(41, 122)(42, 123)(43, 124)(44, 125)(45, 136)(46, 135)(47, 130)(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, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.890
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 6^16, 8^12 ]

E22.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3)^2, (Y2 * Y1^-2)^2, (Y3 * Y2)^3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, Y1^5 * Y2 * Y1 * Y3, (Y2 * Y1^-1)^4, Y1^-2 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 37, 85, 35, 83, 46, 94, 31, 79, 10, 58, 22, 70, 39, 87, 28, 76, 42, 90, 32, 80, 45, 93, 34, 82, 13, 61, 25, 73, 40, 88, 29, 77, 43, 91, 33, 81, 17, 65, 5, 53)(3, 51, 9, 57, 27, 75, 44, 92, 48, 96, 41, 89, 20, 68, 14, 62, 4, 52, 12, 60, 23, 71, 7, 55, 21, 69, 15, 63, 36, 84, 47, 95, 30, 78, 38, 86, 26, 74, 8, 56, 24, 72, 16, 64, 19, 67, 11, 59)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 124, 172)(106, 154, 126, 174)(107, 155, 128, 176)(108, 156, 114, 162)(110, 158, 131, 179)(112, 160, 130, 178)(113, 161, 123, 171)(116, 164, 136, 184)(117, 165, 138, 186)(118, 166, 140, 188)(119, 167, 141, 189)(120, 168, 133, 181)(122, 170, 142, 190)(125, 173, 134, 182)(127, 175, 137, 185)(129, 177, 143, 191)(132, 180, 135, 183)(139, 187, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 125)(10, 99)(11, 129)(12, 124)(13, 126)(14, 128)(15, 127)(16, 101)(17, 119)(18, 134)(19, 135)(20, 102)(21, 139)(22, 103)(23, 113)(24, 138)(25, 140)(26, 141)(27, 142)(28, 108)(29, 105)(30, 109)(31, 111)(32, 110)(33, 107)(34, 137)(35, 143)(36, 136)(37, 144)(38, 114)(39, 115)(40, 132)(41, 130)(42, 120)(43, 117)(44, 121)(45, 122)(46, 123)(47, 131)(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, 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 E22.887
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y2 * Y1 * Y3 * Y1^-1, (Y2 * Y1^-2)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (Y3 * Y2)^3, (Y2 * Y1^-1)^4, Y3 * Y1^19 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 18, 66, 37, 85, 31, 79, 45, 93, 34, 82, 13, 61, 25, 73, 41, 89, 27, 75, 42, 90, 30, 78, 44, 92, 29, 77, 10, 58, 22, 70, 39, 87, 33, 81, 46, 94, 35, 83, 17, 65, 5, 53)(3, 51, 9, 57, 26, 74, 8, 56, 24, 72, 16, 64, 36, 84, 47, 95, 28, 76, 38, 86, 23, 71, 7, 55, 21, 69, 15, 63, 20, 68, 14, 62, 4, 52, 12, 60, 32, 80, 43, 91, 48, 96, 40, 88, 19, 67, 11, 59)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 115, 163)(104, 152, 121, 169)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 126, 174)(108, 156, 129, 177)(110, 158, 131, 179)(112, 160, 130, 178)(113, 161, 122, 170)(114, 162, 134, 182)(116, 164, 137, 185)(117, 165, 138, 186)(118, 166, 139, 187)(119, 167, 140, 188)(120, 168, 142, 190)(125, 173, 136, 184)(127, 175, 143, 191)(128, 176, 141, 189)(132, 180, 135, 183)(133, 181, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 116)(7, 118)(8, 98)(9, 114)(10, 99)(11, 127)(12, 123)(13, 124)(14, 126)(15, 125)(16, 101)(17, 128)(18, 105)(19, 135)(20, 102)(21, 133)(22, 103)(23, 141)(24, 138)(25, 139)(26, 140)(27, 108)(28, 109)(29, 111)(30, 110)(31, 107)(32, 113)(33, 134)(34, 136)(35, 143)(36, 137)(37, 117)(38, 129)(39, 115)(40, 130)(41, 132)(42, 120)(43, 121)(44, 122)(45, 119)(46, 144)(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, 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, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.888
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y1 * Y3^-2 * Y1, (Y1^-1 * Y2^-1)^2, Y1^4, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y2^24 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 23, 71, 11, 59)(4, 52, 17, 65, 7, 55, 19, 67)(6, 54, 20, 68, 24, 72, 9, 57)(10, 58, 28, 76, 12, 60, 30, 78)(14, 62, 32, 80, 41, 89, 33, 81)(15, 63, 35, 83, 16, 64, 36, 84)(18, 66, 38, 86, 21, 69, 37, 85)(22, 70, 25, 73, 42, 90, 34, 82)(26, 74, 43, 91, 27, 75, 44, 92)(29, 77, 46, 94, 31, 79, 45, 93)(39, 87, 48, 96, 40, 88, 47, 95)(97, 145, 99, 147, 110, 158, 122, 170, 108, 156, 127, 175, 144, 192, 133, 181, 113, 161, 131, 179, 138, 186, 120, 168, 104, 152, 119, 167, 137, 185, 123, 171, 106, 154, 125, 173, 143, 191, 134, 182, 115, 163, 132, 180, 118, 166, 102, 150)(98, 146, 105, 153, 121, 169, 112, 160, 100, 148, 114, 162, 135, 183, 141, 189, 124, 172, 139, 187, 129, 177, 109, 157, 101, 149, 116, 164, 130, 178, 111, 159, 103, 151, 117, 165, 136, 184, 142, 190, 126, 174, 140, 188, 128, 176, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 103)(9, 122)(10, 101)(11, 127)(12, 98)(13, 125)(14, 121)(15, 119)(16, 99)(17, 126)(18, 102)(19, 124)(20, 123)(21, 120)(22, 135)(23, 112)(24, 114)(25, 137)(26, 116)(27, 105)(28, 113)(29, 107)(30, 115)(31, 109)(32, 143)(33, 144)(34, 110)(35, 141)(36, 142)(37, 139)(38, 140)(39, 138)(40, 118)(41, 130)(42, 136)(43, 134)(44, 133)(45, 132)(46, 131)(47, 129)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E22.885
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 8^12, 48^2 ]

E22.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C24 : C2 (small group id <48, 6>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2^-1)^2, Y3^2 * Y1^2, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y3^2 * Y1^-2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^3 * Y1^-1 * Y2^-1, Y2^-1 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y1^-1 * Y3^-1 * Y2^-2 * Y1^-1, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 23, 71, 11, 59)(4, 52, 17, 65, 7, 55, 19, 67)(6, 54, 20, 68, 24, 72, 9, 57)(10, 58, 28, 76, 12, 60, 30, 78)(14, 62, 32, 80, 41, 89, 33, 81)(15, 63, 37, 85, 16, 64, 38, 86)(18, 66, 34, 82, 21, 69, 39, 87)(22, 70, 25, 73, 42, 90, 40, 88)(26, 74, 46, 94, 27, 75, 47, 95)(29, 77, 43, 91, 31, 79, 48, 96)(35, 83, 45, 93, 36, 84, 44, 92)(97, 145, 99, 147, 110, 158, 130, 178, 115, 163, 134, 182, 140, 188, 123, 171, 106, 154, 125, 173, 138, 186, 120, 168, 104, 152, 119, 167, 137, 185, 135, 183, 113, 161, 133, 181, 141, 189, 122, 170, 108, 156, 127, 175, 118, 166, 102, 150)(98, 146, 105, 153, 121, 169, 139, 187, 126, 174, 143, 191, 132, 180, 111, 159, 103, 151, 117, 165, 129, 177, 109, 157, 101, 149, 116, 164, 136, 184, 144, 192, 124, 172, 142, 190, 131, 179, 112, 160, 100, 148, 114, 162, 128, 176, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 103)(9, 122)(10, 101)(11, 127)(12, 98)(13, 125)(14, 131)(15, 119)(16, 99)(17, 126)(18, 102)(19, 124)(20, 123)(21, 120)(22, 128)(23, 112)(24, 114)(25, 140)(26, 116)(27, 105)(28, 113)(29, 107)(30, 115)(31, 109)(32, 138)(33, 118)(34, 143)(35, 137)(36, 110)(37, 144)(38, 139)(39, 142)(40, 141)(41, 132)(42, 129)(43, 133)(44, 136)(45, 121)(46, 130)(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, 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 E22.886
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 8^12, 48^2 ]

E22.893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y3^4, Y1 * Y3^-2 * Y1 * Y3^2, Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 13, 61)(5, 53, 9, 57)(6, 54, 17, 65)(8, 56, 21, 69)(10, 58, 25, 73)(11, 59, 27, 75)(12, 60, 29, 77)(14, 62, 22, 70)(15, 63, 31, 79)(16, 64, 33, 81)(18, 66, 26, 74)(19, 67, 35, 83)(20, 68, 37, 85)(23, 71, 39, 87)(24, 72, 41, 89)(28, 76, 36, 84)(30, 78, 45, 93)(32, 80, 47, 95)(34, 82, 48, 96)(38, 86, 46, 94)(40, 88, 43, 91)(42, 90, 44, 92)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 107, 155, 111, 159)(102, 150, 108, 156, 112, 160)(104, 152, 115, 163, 119, 167)(106, 154, 116, 164, 120, 168)(109, 157, 123, 171, 127, 175)(110, 158, 124, 172, 114, 162)(113, 161, 125, 173, 129, 177)(117, 165, 131, 179, 135, 183)(118, 166, 132, 180, 122, 170)(121, 169, 133, 181, 137, 185)(126, 174, 139, 187, 130, 178)(128, 176, 140, 188, 142, 190)(134, 182, 143, 191, 138, 186)(136, 184, 144, 192, 141, 189)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 111)(6, 97)(7, 115)(8, 118)(9, 119)(10, 98)(11, 124)(12, 99)(13, 126)(14, 108)(15, 114)(16, 101)(17, 128)(18, 102)(19, 132)(20, 103)(21, 134)(22, 116)(23, 122)(24, 105)(25, 136)(26, 106)(27, 139)(28, 112)(29, 140)(30, 125)(31, 130)(32, 109)(33, 142)(34, 113)(35, 143)(36, 120)(37, 144)(38, 133)(39, 138)(40, 117)(41, 141)(42, 121)(43, 129)(44, 123)(45, 135)(46, 127)(47, 137)(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) :: { ( 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.896
Graph:: simple bipartite
	v = 40 e = 96 f = 14
	degree seq :: [ 4^24, 6^16 ]

E22.894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y2^-1, Y1), (Y3^-1 * Y1^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 10, 58, 17, 65)(11, 59, 22, 70, 28, 76)(12, 60, 23, 71, 14, 62)(15, 63, 24, 72, 20, 68)(16, 64, 25, 73, 21, 69)(18, 66, 26, 74, 19, 67)(27, 75, 40, 88, 29, 77)(30, 78, 41, 89, 32, 80)(31, 79, 42, 90, 33, 81)(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, 107, 155, 102, 150)(98, 146, 104, 152, 118, 166, 106, 154)(100, 148, 111, 159, 123, 171, 112, 160)(101, 149, 109, 157, 124, 172, 113, 161)(103, 151, 116, 164, 125, 173, 117, 165)(105, 153, 120, 168, 136, 184, 121, 169)(108, 156, 126, 174, 114, 162, 127, 175)(110, 158, 128, 176, 115, 163, 129, 177)(119, 167, 137, 185, 122, 170, 138, 186)(130, 178, 141, 189, 132, 180, 139, 187)(131, 179, 142, 190, 133, 181, 140, 188)(134, 182, 144, 192, 135, 183, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 119)(9, 101)(10, 122)(11, 123)(12, 104)(13, 110)(14, 99)(15, 130)(16, 132)(17, 115)(18, 106)(19, 102)(20, 131)(21, 133)(22, 136)(23, 109)(24, 134)(25, 135)(26, 113)(27, 118)(28, 125)(29, 107)(30, 139)(31, 141)(32, 140)(33, 142)(34, 120)(35, 111)(36, 121)(37, 112)(38, 116)(39, 117)(40, 124)(41, 143)(42, 144)(43, 137)(44, 126)(45, 138)(46, 127)(47, 128)(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, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.895
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 6^16, 8^12 ]

E22.895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2, Y1^2 * Y2 * Y1^2 * Y3, Y1^-1 * Y2 * Y1 * Y3 * Y1^-2, Y3^-1 * Y1^3 * Y2 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 23, 71, 42, 90, 38, 86, 47, 95, 37, 85, 12, 60, 28, 76, 43, 91, 36, 84, 46, 94, 39, 87, 48, 96, 41, 89, 14, 62, 30, 78, 44, 92, 35, 83, 45, 93, 40, 88, 19, 67, 5, 53)(3, 51, 11, 59, 32, 80, 9, 57, 31, 79, 17, 65, 26, 74, 16, 64, 4, 52, 15, 63, 34, 82, 10, 58, 33, 81, 18, 66, 24, 72, 22, 70, 6, 54, 21, 69, 29, 77, 8, 56, 27, 75, 20, 68, 25, 73, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 113, 161)(102, 150, 110, 158)(103, 151, 120, 168)(105, 153, 124, 172)(106, 154, 126, 174)(107, 155, 131, 179)(109, 157, 134, 182)(111, 159, 119, 167)(112, 160, 135, 183)(114, 162, 133, 181)(115, 163, 130, 178)(116, 164, 137, 185)(117, 165, 132, 180)(118, 166, 136, 184)(121, 169, 139, 187)(122, 170, 140, 188)(123, 171, 141, 189)(125, 173, 143, 191)(127, 175, 138, 186)(128, 176, 144, 192)(129, 177, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 114)(6, 97)(7, 121)(8, 124)(9, 126)(10, 98)(11, 119)(12, 102)(13, 135)(14, 99)(15, 132)(16, 136)(17, 133)(18, 137)(19, 125)(20, 101)(21, 131)(22, 134)(23, 117)(24, 139)(25, 140)(26, 103)(27, 138)(28, 106)(29, 144)(30, 104)(31, 142)(32, 115)(33, 141)(34, 143)(35, 111)(36, 107)(37, 116)(38, 112)(39, 118)(40, 109)(41, 113)(42, 129)(43, 122)(44, 120)(45, 127)(46, 123)(47, 128)(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, 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 E22.894
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y2 * Y3, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2^-1 * Y1^2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2^4 * Y1, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 25, 73, 15, 63)(4, 52, 10, 58, 26, 74, 18, 66)(6, 54, 17, 65, 27, 75, 23, 71)(7, 55, 12, 60, 28, 76, 21, 69)(9, 57, 29, 77, 19, 67, 31, 79)(11, 59, 33, 81, 20, 68, 35, 83)(14, 62, 38, 86, 43, 91, 30, 78)(16, 64, 34, 82, 44, 92, 41, 89)(22, 70, 32, 80, 45, 93, 39, 87)(24, 72, 42, 90, 46, 94, 36, 84)(37, 85, 48, 96, 40, 88, 47, 95)(97, 145, 99, 147, 110, 158, 135, 183, 114, 162, 131, 179, 143, 191, 125, 173, 117, 165, 137, 185, 142, 190, 123, 171, 104, 152, 121, 169, 139, 187, 128, 176, 106, 154, 129, 177, 144, 192, 127, 175, 108, 156, 130, 178, 120, 168, 102, 150)(98, 146, 105, 153, 126, 174, 112, 160, 100, 148, 113, 161, 136, 184, 111, 159, 103, 151, 118, 166, 138, 186, 116, 164, 101, 149, 115, 163, 134, 182, 140, 188, 122, 170, 119, 167, 133, 181, 109, 157, 124, 172, 141, 189, 132, 180, 107, 155)
	L = (1, 100)(2, 106)(3, 107)(4, 108)(5, 114)(6, 118)(7, 97)(8, 122)(9, 123)(10, 124)(11, 130)(12, 98)(13, 129)(14, 133)(15, 131)(16, 99)(17, 128)(18, 103)(19, 102)(20, 137)(21, 101)(22, 127)(23, 135)(24, 134)(25, 116)(26, 117)(27, 141)(28, 104)(29, 119)(30, 143)(31, 113)(32, 105)(33, 140)(34, 109)(35, 112)(36, 110)(37, 120)(38, 144)(39, 115)(40, 142)(41, 111)(42, 139)(43, 136)(44, 121)(45, 125)(46, 126)(47, 132)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E22.893
Graph:: bipartite
	v = 14 e = 96 f = 40
	degree seq :: [ 8^12, 48^2 ]

E22.897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-3 * Y2^-1, (R * Y2)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y2^4, (R * Y1)^2, Y3^-2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^3, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 15, 63)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 24, 72)(9, 57, 27, 75)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(16, 64, 25, 73)(17, 65, 26, 74)(29, 77, 39, 87)(30, 78, 44, 92)(31, 79, 37, 85)(32, 80, 43, 91)(33, 81, 45, 93)(34, 82, 46, 94)(35, 83, 40, 88)(36, 84, 38, 86)(41, 89, 47, 95)(42, 90, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 129, 177, 113, 161)(102, 150, 110, 158, 130, 178, 112, 160)(104, 152, 118, 166, 137, 185, 122, 170)(106, 154, 119, 167, 138, 186, 121, 169)(107, 155, 125, 173, 114, 162, 127, 175)(111, 159, 126, 174, 141, 189, 132, 180)(115, 163, 128, 176, 142, 190, 131, 179)(116, 164, 133, 181, 123, 171, 135, 183)(120, 168, 134, 182, 143, 191, 140, 188)(124, 172, 136, 184, 144, 192, 139, 187)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 113)(6, 97)(7, 118)(8, 121)(9, 122)(10, 98)(11, 126)(12, 129)(13, 102)(14, 99)(15, 131)(16, 101)(17, 130)(18, 132)(19, 127)(20, 134)(21, 137)(22, 106)(23, 103)(24, 139)(25, 105)(26, 138)(27, 140)(28, 135)(29, 141)(30, 115)(31, 111)(32, 107)(33, 110)(34, 108)(35, 114)(36, 142)(37, 143)(38, 124)(39, 120)(40, 116)(41, 119)(42, 117)(43, 123)(44, 144)(45, 128)(46, 125)(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) :: { ( 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.898
Graph:: simple bipartite
	v = 36 e = 96 f = 18
	degree seq :: [ 4^24, 8^12 ]

E22.898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3 * Y1^-1 * Y3, (Y1^-1, Y2^-1), (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^2 * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-3 * Y3 * Y2 * Y3, Y2^-1 * Y1 * Y3 * Y2^-2 * Y3 * Y2^-1, Y2 * Y1 * R * Y2^-2 * R * Y2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-3, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 10, 58, 17, 65)(11, 59, 23, 71, 31, 79)(12, 60, 24, 72, 14, 62)(15, 63, 25, 73, 21, 69)(16, 64, 26, 74, 22, 70)(18, 66, 27, 75, 20, 68)(19, 67, 28, 76, 42, 90)(29, 77, 45, 93, 38, 86)(30, 78, 40, 88, 32, 80)(33, 81, 43, 91, 35, 83)(34, 82, 37, 85, 36, 84)(39, 87, 44, 92, 41, 89)(46, 94, 48, 96, 47, 95)(97, 145, 99, 147, 107, 155, 125, 173, 142, 190, 137, 185, 124, 172, 106, 154, 98, 146, 104, 152, 119, 167, 141, 189, 144, 192, 135, 183, 138, 186, 113, 161, 101, 149, 109, 157, 127, 175, 134, 182, 143, 191, 140, 188, 115, 163, 102, 150)(100, 148, 111, 159, 133, 181, 120, 168, 139, 187, 114, 162, 128, 176, 122, 170, 105, 153, 121, 169, 132, 180, 110, 158, 131, 179, 123, 171, 126, 174, 118, 166, 103, 151, 117, 165, 130, 178, 108, 156, 129, 177, 116, 164, 136, 184, 112, 160)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 114)(7, 97)(8, 120)(9, 101)(10, 123)(11, 126)(12, 104)(13, 110)(14, 99)(15, 125)(16, 135)(17, 116)(18, 106)(19, 132)(20, 102)(21, 134)(22, 137)(23, 136)(24, 109)(25, 141)(26, 140)(27, 113)(28, 130)(29, 121)(30, 119)(31, 128)(32, 107)(33, 142)(34, 138)(35, 143)(36, 124)(37, 115)(38, 111)(39, 122)(40, 127)(41, 112)(42, 133)(43, 144)(44, 118)(45, 117)(46, 139)(47, 129)(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, 4, 8, 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 E22.897
Graph:: bipartite
	v = 18 e = 96 f = 36
	degree seq :: [ 6^16, 48^2 ]

E22.899 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y1 * Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2 * Y1^-1 * Y3)^3, Y1^-3 * Y2 * Y3 * Y2 * Y3 * Y1^-3, Y2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3, Y2 * Y1 * 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 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 90, 42, 84, 36, 86, 38, 71, 23, 60, 12, 66, 18, 78, 30, 93, 45, 82, 34, 68, 20, 58, 10, 65, 17, 77, 29, 88, 40, 95, 47, 89, 41, 73, 25, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 81, 33, 94, 46, 80, 32, 72, 24, 87, 39, 79, 31, 69, 21, 83, 35, 92, 44, 76, 28, 64, 16, 56, 8, 52, 4, 59, 11, 70, 22, 85, 37, 96, 48, 91, 43, 75, 27, 63, 15, 55, 7, 51)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 45)(29, 39)(32, 47)(34, 44)(36, 37)(41, 46)(42, 48)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 72)(61, 70)(62, 76)(63, 77)(66, 80)(67, 82)(69, 84)(71, 87)(73, 85)(74, 92)(75, 88)(78, 94)(79, 86)(81, 93)(83, 90)(89, 96)(91, 95)
	local type(s) :: { ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E22.903
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.900 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y1 * Y3 * Y1^-2 * Y2, (Y2 * Y3)^8, Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1^2 * Y2 * Y3 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 58, 10, 63, 15, 68, 20, 70, 22, 75, 27, 80, 32, 82, 34, 87, 39, 92, 44, 94, 46, 95, 47, 90, 42, 85, 37, 83, 35, 78, 30, 73, 25, 71, 23, 66, 18, 60, 12, 61, 13, 53, 5, 49)(3, 57, 9, 56, 8, 52, 4, 59, 11, 65, 17, 67, 19, 72, 24, 77, 29, 79, 31, 84, 36, 89, 41, 91, 43, 96, 48, 93, 45, 88, 40, 86, 38, 81, 33, 76, 28, 74, 26, 69, 21, 64, 16, 62, 14, 55, 7, 51)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 14)(8, 13)(10, 16)(11, 18)(15, 21)(17, 23)(19, 25)(20, 26)(22, 28)(24, 30)(27, 33)(29, 35)(31, 37)(32, 38)(34, 40)(36, 42)(39, 45)(41, 47)(43, 46)(44, 48)(49, 52)(50, 56)(51, 58)(53, 59)(54, 57)(55, 63)(60, 67)(61, 65)(62, 68)(64, 70)(66, 72)(69, 75)(71, 77)(73, 79)(74, 80)(76, 82)(78, 84)(81, 87)(83, 89)(85, 91)(86, 92)(88, 94)(90, 96)(93, 95)
	local type(s) :: { ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E22.902
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.901 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: halfedge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y3 * Y1^2 * Y2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2, Y1 * Y3 * Y2 * Y3 * Y1^2 * Y3, Y1^3 * Y3 * Y1^-2 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 82, 34, 89, 41, 90, 42, 73, 25, 77, 29, 61, 13, 70, 22, 84, 36, 96, 48, 91, 43, 75, 27, 58, 10, 68, 20, 76, 28, 86, 38, 92, 44, 95, 47, 81, 33, 65, 17, 53, 5, 49)(3, 57, 9, 72, 24, 88, 40, 85, 37, 67, 19, 69, 21, 55, 7, 64, 16, 74, 26, 80, 32, 94, 46, 83, 35, 78, 30, 62, 14, 52, 4, 60, 12, 63, 15, 79, 31, 93, 45, 87, 39, 71, 23, 56, 8, 59, 11, 51)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 14)(8, 22)(9, 25)(10, 26)(11, 28)(12, 20)(16, 29)(17, 32)(18, 23)(19, 36)(21, 38)(24, 27)(30, 44)(31, 42)(33, 40)(34, 37)(35, 48)(39, 47)(41, 46)(43, 45)(49, 52)(50, 56)(51, 58)(53, 64)(54, 67)(55, 68)(57, 65)(59, 77)(60, 73)(61, 69)(62, 76)(63, 75)(66, 83)(70, 78)(71, 86)(72, 89)(74, 90)(79, 81)(80, 91)(82, 93)(84, 87)(85, 92)(88, 96)(94, 95)
	local type(s) :: { ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E22.904
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.902 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y2)^2, (Y2 * Y1)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, R * Y2 * R * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y2, Y1^12, Y1^4 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-3 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 82, 34, 90, 42, 89, 41, 81, 33, 73, 25, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 72, 24, 80, 32, 88, 40, 96, 48, 91, 43, 83, 35, 75, 27, 63, 15, 55, 7, 51)(4, 59, 11, 70, 22, 78, 30, 86, 38, 94, 46, 93, 45, 85, 37, 77, 29, 69, 21, 64, 16, 56, 8, 52)(10, 65, 17, 76, 28, 84, 36, 92, 44, 95, 47, 87, 39, 79, 31, 71, 23, 60, 12, 66, 18, 68, 20, 58)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 20)(17, 29)(22, 31)(24, 25)(26, 35)(28, 37)(30, 39)(32, 33)(34, 43)(36, 45)(38, 47)(40, 41)(42, 48)(44, 46)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 72)(61, 70)(62, 69)(63, 76)(66, 67)(71, 80)(73, 78)(74, 77)(75, 84)(79, 88)(81, 86)(82, 85)(83, 92)(87, 96)(89, 94)(90, 93)(91, 95)
	local type(s) :: { ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.900
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 24^4 ]

E22.903 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: halfedge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1 * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y1)^2, (Y1^-2 * Y3)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-2 * Y3, Y1^12, Y1^4 * Y3 * Y1^-2 * Y2 * Y3 * Y1^-3 * Y2, Y2 * Y1 * 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 * 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^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 82, 34, 90, 42, 89, 41, 81, 33, 73, 25, 61, 13, 53, 5, 49)(3, 57, 9, 67, 19, 78, 30, 86, 38, 94, 46, 93, 45, 85, 37, 77, 29, 72, 24, 63, 15, 55, 7, 51)(4, 59, 11, 70, 22, 69, 21, 80, 32, 88, 40, 96, 48, 91, 43, 83, 35, 75, 27, 64, 16, 56, 8, 52)(10, 65, 17, 71, 23, 60, 12, 66, 18, 76, 28, 84, 36, 92, 44, 95, 47, 87, 39, 79, 31, 68, 20, 58)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 24)(16, 28)(17, 22)(20, 32)(25, 30)(26, 29)(27, 36)(31, 40)(33, 38)(34, 37)(35, 44)(39, 48)(41, 46)(42, 45)(43, 47)(49, 52)(50, 56)(51, 58)(53, 59)(54, 64)(55, 65)(57, 68)(60, 72)(61, 70)(62, 75)(63, 71)(66, 77)(67, 79)(69, 73)(74, 83)(76, 85)(78, 87)(80, 81)(82, 91)(84, 93)(86, 95)(88, 89)(90, 96)(92, 94)
	local type(s) :: { ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.899
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 24^4 ]

E22.904 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: halfedge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-2 * Y3 * Y1^2 * Y3, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-4, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 90, 42, 79, 31, 94, 46, 75, 27, 93, 45, 89, 41, 65, 17, 53, 5, 49)(3, 57, 9, 67, 19, 92, 44, 87, 39, 63, 15, 71, 23, 55, 7, 69, 21, 83, 35, 81, 33, 59, 11, 51)(4, 60, 12, 68, 20, 77, 29, 88, 40, 64, 16, 74, 26, 56, 8, 72, 24, 91, 43, 86, 38, 62, 14, 52)(10, 70, 22, 84, 36, 61, 13, 73, 25, 80, 32, 95, 47, 76, 28, 85, 37, 96, 48, 82, 34, 78, 30, 58)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 31)(12, 34)(14, 37)(16, 36)(17, 33)(18, 35)(20, 32)(21, 45)(22, 38)(23, 46)(24, 30)(26, 48)(28, 40)(39, 42)(41, 44)(43, 47)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 80)(60, 75)(61, 83)(62, 79)(63, 78)(65, 86)(66, 91)(67, 84)(69, 85)(71, 95)(72, 93)(73, 87)(74, 94)(77, 89)(81, 82)(88, 90)(92, 96)
	local type(s) :: { ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.901
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 24^4 ]

E22.905 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^12, Y1 * Y3^-4 * Y2 * Y1 * Y3^-5 * Y2, (Y3 * Y1 * Y2)^24 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 32, 80, 40, 88, 48, 96, 41, 89, 33, 81, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 19, 67, 29, 77, 37, 85, 45, 93, 44, 92, 36, 84, 28, 76, 18, 66, 8, 56)(3, 51, 10, 58, 22, 70, 31, 79, 39, 87, 47, 95, 42, 90, 34, 82, 26, 74, 14, 62, 23, 71, 11, 59)(6, 54, 15, 63, 27, 75, 35, 83, 43, 91, 46, 94, 38, 86, 30, 78, 21, 69, 9, 57, 20, 68, 16, 64)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 122)(112, 119)(115, 121)(118, 126)(120, 124)(123, 130)(125, 129)(127, 134)(128, 132)(131, 138)(133, 137)(135, 142)(136, 140)(139, 143)(141, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 167)(157, 166)(158, 168)(161, 164)(162, 171)(165, 173)(169, 175)(170, 176)(172, 179)(174, 181)(177, 183)(178, 184)(180, 187)(182, 189)(185, 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) :: { ( 96, 96 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.914
Graph:: simple bipartite
	v = 52 e = 96 f = 2
	degree seq :: [ 2^48, 24^4 ]

E22.906 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^4, Y3^12, Y1 * Y3^4 * Y2 * Y1 * Y3^5 * Y2, (Y3 * Y1 * Y2)^24 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 32, 80, 40, 88, 48, 96, 41, 89, 33, 81, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 28, 76, 36, 84, 44, 92, 45, 93, 37, 85, 29, 77, 19, 67, 18, 66, 8, 56)(3, 51, 10, 58, 22, 70, 14, 62, 26, 74, 34, 82, 42, 90, 47, 95, 39, 87, 31, 79, 23, 71, 11, 59)(6, 54, 15, 63, 21, 69, 9, 57, 20, 68, 30, 78, 38, 86, 46, 94, 43, 91, 35, 83, 27, 75, 16, 64)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 118)(112, 122)(115, 120)(119, 126)(121, 124)(123, 130)(125, 128)(127, 134)(129, 132)(131, 138)(133, 136)(135, 142)(137, 140)(139, 143)(141, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 167)(157, 166)(158, 169)(161, 171)(162, 165)(164, 173)(168, 175)(170, 177)(172, 179)(174, 181)(176, 183)(178, 185)(180, 187)(182, 189)(184, 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) :: { ( 96, 96 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.915
Graph:: simple bipartite
	v = 52 e = 96 f = 2
	degree seq :: [ 2^48, 24^4 ]

E22.907 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: edge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3^3 * Y1 * Y2 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^2, Y3^12 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 38, 86, 46, 94, 24, 72, 43, 91, 21, 69, 42, 90, 41, 89, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 45, 93, 39, 87, 15, 63, 35, 83, 12, 60, 34, 82, 27, 75, 26, 74, 8, 56)(3, 51, 10, 58, 31, 79, 18, 66, 40, 88, 16, 64, 37, 85, 13, 61, 36, 84, 48, 96, 33, 81, 11, 59)(6, 54, 19, 67, 29, 77, 9, 57, 28, 76, 25, 73, 44, 92, 22, 70, 32, 80, 47, 95, 30, 78, 20, 68)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 126)(107, 128)(109, 124)(110, 119)(112, 125)(113, 122)(115, 129)(116, 132)(118, 136)(121, 127)(123, 134)(130, 138)(131, 139)(133, 143)(135, 142)(137, 141)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 171)(154, 165)(155, 168)(156, 163)(158, 175)(159, 164)(161, 177)(162, 185)(167, 173)(170, 174)(172, 183)(176, 178)(179, 188)(180, 186)(181, 187)(182, 192)(184, 190)(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) :: { ( 96, 96 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.916
Graph:: simple bipartite
	v = 52 e = 96 f = 2
	degree seq :: [ 2^48, 24^4 ]

E22.908 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2, Y2 * Y1 * Y2 * Y3^6 * Y1, (Y3 * Y1 * Y2)^12 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 24, 72, 40, 88, 47, 95, 33, 81, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 44, 92, 37, 85, 21, 69, 9, 57, 20, 68, 36, 84, 26, 74, 42, 90, 41, 89, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 45, 93, 48, 96, 39, 87, 23, 71, 11, 59, 3, 51, 10, 58, 22, 70, 38, 86, 43, 91, 28, 76, 14, 62, 27, 75, 35, 83, 19, 67, 34, 82, 46, 94, 32, 80, 18, 66, 8, 56)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 117)(107, 116)(108, 114)(109, 113)(111, 124)(112, 123)(115, 129)(118, 133)(119, 132)(120, 128)(121, 127)(122, 135)(125, 139)(126, 131)(130, 143)(134, 140)(136, 142)(137, 141)(138, 144)(145, 147)(146, 150)(148, 155)(149, 154)(151, 160)(152, 159)(153, 163)(156, 167)(157, 166)(158, 170)(161, 174)(162, 173)(164, 179)(165, 178)(168, 183)(169, 182)(171, 180)(172, 186)(175, 177)(176, 188)(181, 190)(184, 192)(185, 187)(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 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.911
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.909 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: edge^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, (Y1 * Y2)^8 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 9, 57, 18, 66, 25, 73, 23, 71, 30, 78, 37, 85, 35, 83, 42, 90, 48, 96, 44, 92, 46, 94, 39, 87, 32, 80, 34, 82, 27, 75, 20, 68, 22, 70, 15, 63, 6, 54, 13, 61, 5, 53)(2, 50, 7, 55, 16, 64, 14, 62, 21, 69, 28, 76, 26, 74, 33, 81, 40, 88, 38, 86, 45, 93, 47, 95, 41, 89, 43, 91, 36, 84, 29, 77, 31, 79, 24, 72, 17, 65, 19, 67, 11, 59, 3, 51, 10, 58, 8, 56)(97, 98)(99, 105)(100, 104)(101, 103)(102, 110)(106, 108)(107, 114)(109, 112)(111, 117)(113, 119)(115, 121)(116, 122)(118, 124)(120, 126)(123, 129)(125, 131)(127, 133)(128, 134)(130, 136)(132, 138)(135, 141)(137, 140)(139, 144)(142, 143)(145, 147)(146, 150)(148, 155)(149, 154)(151, 159)(152, 157)(153, 161)(156, 163)(158, 164)(160, 166)(162, 168)(165, 171)(167, 173)(169, 175)(170, 176)(172, 178)(174, 180)(177, 183)(179, 185)(181, 187)(182, 188)(184, 190)(186, 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 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.912
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.910 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 12, 24})
Quotient :: edge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3^2 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3^-2 * Y2 * Y3^4 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 30, 78, 44, 92, 40, 88, 36, 84, 21, 69, 20, 68, 6, 54, 19, 67, 35, 83, 48, 96, 39, 87, 26, 74, 9, 57, 22, 70, 23, 71, 34, 82, 37, 85, 47, 95, 33, 81, 17, 65, 5, 53)(2, 50, 7, 55, 16, 64, 31, 79, 45, 93, 42, 90, 28, 76, 12, 60, 11, 59, 3, 51, 10, 58, 27, 75, 41, 89, 43, 91, 29, 77, 18, 66, 13, 61, 15, 63, 25, 73, 32, 80, 46, 94, 38, 86, 24, 72, 8, 56)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 119)(106, 113)(107, 116)(109, 118)(110, 125)(112, 122)(115, 120)(121, 132)(123, 136)(124, 130)(126, 134)(127, 129)(128, 135)(131, 138)(133, 139)(137, 144)(140, 141)(142, 143)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 158)(153, 169)(154, 165)(155, 167)(156, 163)(159, 164)(161, 176)(162, 178)(168, 181)(170, 171)(172, 174)(173, 179)(175, 180)(177, 185)(182, 192)(183, 189)(184, 190)(186, 191)(187, 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) :: { ( 48, 48 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.913
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.911 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-2, Y3^12, Y1 * Y3^-4 * Y2 * Y1 * Y3^-5 * Y2, (Y3 * Y1 * Y2)^24 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 32, 80, 128, 176, 40, 88, 136, 184, 48, 96, 144, 192, 41, 89, 137, 185, 33, 81, 129, 177, 25, 73, 121, 169, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 19, 67, 115, 163, 29, 77, 125, 173, 37, 85, 133, 181, 45, 93, 141, 189, 44, 92, 140, 188, 36, 84, 132, 180, 28, 76, 124, 172, 18, 66, 114, 162, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 31, 79, 127, 175, 39, 87, 135, 183, 47, 95, 143, 191, 42, 90, 138, 186, 34, 82, 130, 178, 26, 74, 122, 170, 14, 62, 110, 158, 23, 71, 119, 167, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 27, 75, 123, 171, 35, 83, 131, 179, 43, 91, 139, 187, 46, 94, 142, 190, 38, 86, 134, 182, 30, 78, 126, 174, 21, 69, 117, 165, 9, 57, 105, 153, 20, 68, 116, 164, 16, 64, 112, 160)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 69)(11, 68)(12, 66)(13, 65)(14, 54)(15, 74)(16, 71)(17, 61)(18, 60)(19, 73)(20, 59)(21, 58)(22, 78)(23, 64)(24, 76)(25, 67)(26, 63)(27, 82)(28, 72)(29, 81)(30, 70)(31, 86)(32, 84)(33, 77)(34, 75)(35, 90)(36, 80)(37, 89)(38, 79)(39, 94)(40, 92)(41, 85)(42, 83)(43, 95)(44, 88)(45, 96)(46, 87)(47, 91)(48, 93)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 163)(106, 149)(107, 148)(108, 167)(109, 166)(110, 168)(111, 152)(112, 151)(113, 164)(114, 171)(115, 153)(116, 161)(117, 173)(118, 157)(119, 156)(120, 158)(121, 175)(122, 176)(123, 162)(124, 179)(125, 165)(126, 181)(127, 169)(128, 170)(129, 183)(130, 184)(131, 172)(132, 187)(133, 174)(134, 189)(135, 177)(136, 178)(137, 191)(138, 192)(139, 180)(140, 190)(141, 182)(142, 188)(143, 185)(144, 186)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.908
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 48^4 ]

E22.912 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y2)^2, Y2 * Y1 * Y2 * Y3^3 * Y1, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^4, Y3^12, Y1 * Y3^4 * Y2 * Y1 * Y3^5 * Y2, (Y3 * Y1 * Y2)^24 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 32, 80, 128, 176, 40, 88, 136, 184, 48, 96, 144, 192, 41, 89, 137, 185, 33, 81, 129, 177, 25, 73, 121, 169, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 28, 76, 124, 172, 36, 84, 132, 180, 44, 92, 140, 188, 45, 93, 141, 189, 37, 85, 133, 181, 29, 77, 125, 173, 19, 67, 115, 163, 18, 66, 114, 162, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 14, 62, 110, 158, 26, 74, 122, 170, 34, 82, 130, 178, 42, 90, 138, 186, 47, 95, 143, 191, 39, 87, 135, 183, 31, 79, 127, 175, 23, 71, 119, 167, 11, 59, 107, 155)(6, 54, 102, 150, 15, 63, 111, 159, 21, 69, 117, 165, 9, 57, 105, 153, 20, 68, 116, 164, 30, 78, 126, 174, 38, 86, 134, 182, 46, 94, 142, 190, 43, 91, 139, 187, 35, 83, 131, 179, 27, 75, 123, 171, 16, 64, 112, 160)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 69)(11, 68)(12, 66)(13, 65)(14, 54)(15, 70)(16, 74)(17, 61)(18, 60)(19, 72)(20, 59)(21, 58)(22, 63)(23, 78)(24, 67)(25, 76)(26, 64)(27, 82)(28, 73)(29, 80)(30, 71)(31, 86)(32, 77)(33, 84)(34, 75)(35, 90)(36, 81)(37, 88)(38, 79)(39, 94)(40, 85)(41, 92)(42, 83)(43, 95)(44, 89)(45, 96)(46, 87)(47, 91)(48, 93)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 163)(106, 149)(107, 148)(108, 167)(109, 166)(110, 169)(111, 152)(112, 151)(113, 171)(114, 165)(115, 153)(116, 173)(117, 162)(118, 157)(119, 156)(120, 175)(121, 158)(122, 177)(123, 161)(124, 179)(125, 164)(126, 181)(127, 168)(128, 183)(129, 170)(130, 185)(131, 172)(132, 187)(133, 174)(134, 189)(135, 176)(136, 191)(137, 178)(138, 192)(139, 180)(140, 190)(141, 182)(142, 188)(143, 184)(144, 186)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.909
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 48^4 ]

E22.913 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 24})
Quotient :: loop^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^2 * Y1 * Y3^-2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3^3 * Y1 * Y2 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^2, Y3^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 38, 86, 134, 182, 46, 94, 142, 190, 24, 72, 120, 168, 43, 91, 139, 187, 21, 69, 117, 165, 42, 90, 138, 186, 41, 89, 137, 185, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 45, 93, 141, 189, 39, 87, 135, 183, 15, 63, 111, 159, 35, 83, 131, 179, 12, 60, 108, 156, 34, 82, 130, 178, 27, 75, 123, 171, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 31, 79, 127, 175, 18, 66, 114, 162, 40, 88, 136, 184, 16, 64, 112, 160, 37, 85, 133, 181, 13, 61, 109, 157, 36, 84, 132, 180, 48, 96, 144, 192, 33, 81, 129, 177, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 29, 77, 125, 173, 9, 57, 105, 153, 28, 76, 124, 172, 25, 73, 121, 169, 44, 92, 140, 188, 22, 70, 118, 166, 32, 80, 128, 176, 47, 95, 143, 191, 30, 78, 126, 174, 20, 68, 116, 164)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 78)(11, 80)(12, 52)(13, 76)(14, 71)(15, 53)(16, 77)(17, 74)(18, 54)(19, 81)(20, 84)(21, 55)(22, 88)(23, 62)(24, 56)(25, 79)(26, 65)(27, 86)(28, 61)(29, 64)(30, 58)(31, 73)(32, 59)(33, 67)(34, 90)(35, 91)(36, 68)(37, 95)(38, 75)(39, 94)(40, 70)(41, 93)(42, 82)(43, 83)(44, 96)(45, 89)(46, 87)(47, 85)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 171)(106, 165)(107, 168)(108, 163)(109, 148)(110, 175)(111, 164)(112, 149)(113, 177)(114, 185)(115, 156)(116, 159)(117, 154)(118, 151)(119, 173)(120, 155)(121, 152)(122, 174)(123, 153)(124, 183)(125, 167)(126, 170)(127, 158)(128, 178)(129, 161)(130, 176)(131, 188)(132, 186)(133, 187)(134, 192)(135, 172)(136, 190)(137, 162)(138, 180)(139, 181)(140, 179)(141, 191)(142, 184)(143, 189)(144, 182)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.910
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 48^4 ]

E22.914 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2, Y2 * Y1 * Y2 * Y3^6 * Y1, (Y3 * Y1 * Y2)^12 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 24, 72, 120, 168, 40, 88, 136, 184, 47, 95, 143, 191, 33, 81, 129, 177, 30, 78, 126, 174, 16, 64, 112, 160, 6, 54, 102, 150, 15, 63, 111, 159, 29, 77, 125, 173, 44, 92, 140, 188, 37, 85, 133, 181, 21, 69, 117, 165, 9, 57, 105, 153, 20, 68, 116, 164, 36, 84, 132, 180, 26, 74, 122, 170, 42, 90, 138, 186, 41, 89, 137, 185, 25, 73, 121, 169, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 17, 65, 113, 161, 31, 79, 127, 175, 45, 93, 141, 189, 48, 96, 144, 192, 39, 87, 135, 183, 23, 71, 119, 167, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 22, 70, 118, 166, 38, 86, 134, 182, 43, 91, 139, 187, 28, 76, 124, 172, 14, 62, 110, 158, 27, 75, 123, 171, 35, 83, 131, 179, 19, 67, 115, 163, 34, 82, 130, 178, 46, 94, 142, 190, 32, 80, 128, 176, 18, 66, 114, 162, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 69)(11, 68)(12, 66)(13, 65)(14, 54)(15, 76)(16, 75)(17, 61)(18, 60)(19, 81)(20, 59)(21, 58)(22, 85)(23, 84)(24, 80)(25, 79)(26, 87)(27, 64)(28, 63)(29, 91)(30, 83)(31, 73)(32, 72)(33, 67)(34, 95)(35, 78)(36, 71)(37, 70)(38, 92)(39, 74)(40, 94)(41, 93)(42, 96)(43, 77)(44, 86)(45, 89)(46, 88)(47, 82)(48, 90)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 160)(104, 159)(105, 163)(106, 149)(107, 148)(108, 167)(109, 166)(110, 170)(111, 152)(112, 151)(113, 174)(114, 173)(115, 153)(116, 179)(117, 178)(118, 157)(119, 156)(120, 183)(121, 182)(122, 158)(123, 180)(124, 186)(125, 162)(126, 161)(127, 177)(128, 188)(129, 175)(130, 165)(131, 164)(132, 171)(133, 190)(134, 169)(135, 168)(136, 192)(137, 187)(138, 172)(139, 185)(140, 176)(141, 191)(142, 181)(143, 189)(144, 184)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.905
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 52
	degree seq :: [ 96^2 ]

E22.915 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 24})
Quotient :: loop^2
Aut^+ = D48 (small group id <48, 7>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^3 * Y1, (Y1 * Y2)^8 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 9, 57, 105, 153, 18, 66, 114, 162, 25, 73, 121, 169, 23, 71, 119, 167, 30, 78, 126, 174, 37, 85, 133, 181, 35, 83, 131, 179, 42, 90, 138, 186, 48, 96, 144, 192, 44, 92, 140, 188, 46, 94, 142, 190, 39, 87, 135, 183, 32, 80, 128, 176, 34, 82, 130, 178, 27, 75, 123, 171, 20, 68, 116, 164, 22, 70, 118, 166, 15, 63, 111, 159, 6, 54, 102, 150, 13, 61, 109, 157, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 16, 64, 112, 160, 14, 62, 110, 158, 21, 69, 117, 165, 28, 76, 124, 172, 26, 74, 122, 170, 33, 81, 129, 177, 40, 88, 136, 184, 38, 86, 134, 182, 45, 93, 141, 189, 47, 95, 143, 191, 41, 89, 137, 185, 43, 91, 139, 187, 36, 84, 132, 180, 29, 77, 125, 173, 31, 79, 127, 175, 24, 72, 120, 168, 17, 65, 113, 161, 19, 67, 115, 163, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 56)(5, 55)(6, 62)(7, 53)(8, 52)(9, 51)(10, 60)(11, 66)(12, 58)(13, 64)(14, 54)(15, 69)(16, 61)(17, 71)(18, 59)(19, 73)(20, 74)(21, 63)(22, 76)(23, 65)(24, 78)(25, 67)(26, 68)(27, 81)(28, 70)(29, 83)(30, 72)(31, 85)(32, 86)(33, 75)(34, 88)(35, 77)(36, 90)(37, 79)(38, 80)(39, 93)(40, 82)(41, 92)(42, 84)(43, 96)(44, 89)(45, 87)(46, 95)(47, 94)(48, 91)(97, 147)(98, 150)(99, 145)(100, 155)(101, 154)(102, 146)(103, 159)(104, 157)(105, 161)(106, 149)(107, 148)(108, 163)(109, 152)(110, 164)(111, 151)(112, 166)(113, 153)(114, 168)(115, 156)(116, 158)(117, 171)(118, 160)(119, 173)(120, 162)(121, 175)(122, 176)(123, 165)(124, 178)(125, 167)(126, 180)(127, 169)(128, 170)(129, 183)(130, 172)(131, 185)(132, 174)(133, 187)(134, 188)(135, 177)(136, 190)(137, 179)(138, 191)(139, 181)(140, 182)(141, 192)(142, 184)(143, 186)(144, 189)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.906
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 52
	degree seq :: [ 96^2 ]

E22.916 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 12, 24})
Quotient :: loop^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (C3 x D16) : C2 (small group id <96, 33>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3^2 * Y2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3^-2 * Y2 * Y3^4 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 30, 78, 126, 174, 44, 92, 140, 188, 40, 88, 136, 184, 36, 84, 132, 180, 21, 69, 117, 165, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 35, 83, 131, 179, 48, 96, 144, 192, 39, 87, 135, 183, 26, 74, 122, 170, 9, 57, 105, 153, 22, 70, 118, 166, 23, 71, 119, 167, 34, 82, 130, 178, 37, 85, 133, 181, 47, 95, 143, 191, 33, 81, 129, 177, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 16, 64, 112, 160, 31, 79, 127, 175, 45, 93, 141, 189, 42, 90, 138, 186, 28, 76, 124, 172, 12, 60, 108, 156, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 27, 75, 123, 171, 41, 89, 137, 185, 43, 91, 139, 187, 29, 77, 125, 173, 18, 66, 114, 162, 13, 61, 109, 157, 15, 63, 111, 159, 25, 73, 121, 169, 32, 80, 128, 176, 46, 94, 142, 190, 38, 86, 134, 182, 24, 72, 120, 168, 8, 56, 104, 152)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 71)(9, 51)(10, 65)(11, 68)(12, 52)(13, 70)(14, 77)(15, 53)(16, 74)(17, 58)(18, 54)(19, 72)(20, 59)(21, 55)(22, 61)(23, 56)(24, 67)(25, 84)(26, 64)(27, 88)(28, 82)(29, 62)(30, 86)(31, 81)(32, 87)(33, 79)(34, 76)(35, 90)(36, 73)(37, 91)(38, 78)(39, 80)(40, 75)(41, 96)(42, 83)(43, 85)(44, 93)(45, 92)(46, 95)(47, 94)(48, 89)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 158)(105, 169)(106, 165)(107, 167)(108, 163)(109, 148)(110, 152)(111, 164)(112, 149)(113, 176)(114, 178)(115, 156)(116, 159)(117, 154)(118, 151)(119, 155)(120, 181)(121, 153)(122, 171)(123, 170)(124, 174)(125, 179)(126, 172)(127, 180)(128, 161)(129, 185)(130, 162)(131, 173)(132, 175)(133, 168)(134, 192)(135, 189)(136, 190)(137, 177)(138, 191)(139, 188)(140, 187)(141, 183)(142, 184)(143, 186)(144, 182)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.907
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 96 f = 52
	degree seq :: [ 96^2 ]

E22.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, (R * Y2)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y3^-6 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 17, 65)(8, 56, 19, 67)(9, 57, 21, 69)(10, 58, 23, 71)(12, 60, 18, 66)(14, 62, 20, 68)(15, 63, 30, 78)(16, 64, 32, 80)(22, 70, 31, 79)(24, 72, 33, 81)(25, 73, 42, 90)(26, 74, 44, 92)(27, 75, 43, 91)(28, 76, 45, 93)(29, 77, 46, 94)(34, 82, 39, 87)(35, 83, 40, 88)(36, 84, 47, 95)(37, 85, 41, 89)(38, 86, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 111, 159)(104, 152, 112, 160)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(113, 161, 126, 174)(114, 162, 127, 175)(115, 163, 128, 176)(116, 164, 129, 177)(121, 169, 135, 183)(122, 170, 136, 184)(123, 171, 125, 173)(124, 172, 137, 185)(130, 178, 138, 186)(131, 179, 140, 188)(132, 180, 134, 182)(133, 181, 141, 189)(139, 187, 142, 190)(143, 191, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 111)(7, 114)(8, 98)(9, 118)(10, 99)(11, 121)(12, 123)(13, 122)(14, 101)(15, 127)(16, 102)(17, 130)(18, 132)(19, 131)(20, 104)(21, 135)(22, 125)(23, 136)(24, 106)(25, 139)(26, 107)(27, 120)(28, 109)(29, 110)(30, 138)(31, 134)(32, 140)(33, 112)(34, 143)(35, 113)(36, 129)(37, 115)(38, 116)(39, 142)(40, 117)(41, 119)(42, 144)(43, 137)(44, 126)(45, 128)(46, 124)(47, 141)(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) :: { ( 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.934
Graph:: simple bipartite
	v = 48 e = 96 f = 6
	degree seq :: [ 4^48 ]

E22.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2, Y3^-1), (R * Y2)^2, (Y2^-1 * Y1)^2, Y2^3 * Y3^2, Y3^8 ]
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, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 37, 85)(28, 76, 36, 84)(29, 77, 38, 86)(30, 78, 34, 82)(31, 79, 33, 81)(32, 80, 35, 83)(39, 87, 48, 96)(40, 88, 47, 95)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 44, 92)(97, 145, 99, 147, 107, 155, 114, 162, 124, 172, 135, 183, 137, 185, 139, 187, 126, 174, 110, 158, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 122, 170, 130, 178, 140, 188, 142, 190, 144, 192, 132, 180, 118, 166, 120, 168, 105, 153)(100, 148, 108, 156, 113, 161, 102, 150, 109, 157, 123, 171, 128, 176, 136, 184, 138, 186, 125, 173, 127, 175, 111, 159)(104, 152, 116, 164, 121, 169, 106, 154, 117, 165, 129, 177, 134, 182, 141, 189, 143, 191, 131, 179, 133, 181, 119, 167)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 113)(12, 112)(13, 99)(14, 125)(15, 126)(16, 127)(17, 101)(18, 102)(19, 121)(20, 120)(21, 103)(22, 131)(23, 132)(24, 133)(25, 105)(26, 106)(27, 107)(28, 109)(29, 137)(30, 138)(31, 139)(32, 114)(33, 115)(34, 117)(35, 142)(36, 143)(37, 144)(38, 122)(39, 123)(40, 124)(41, 128)(42, 135)(43, 136)(44, 129)(45, 130)(46, 134)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.926
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y3)^2, (Y3, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3^-2 * Y2^3, Y3^8, Y3^8 ]
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, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 38, 86)(30, 78, 33, 81)(31, 79, 34, 82)(32, 80, 35, 83)(39, 87, 47, 95)(40, 88, 48, 96)(41, 89, 46, 94)(42, 90, 44, 92)(43, 91, 45, 93)(97, 145, 99, 147, 107, 155, 110, 158, 124, 172, 135, 183, 137, 185, 138, 186, 127, 175, 114, 162, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 118, 166, 130, 178, 140, 188, 142, 190, 143, 191, 133, 181, 122, 170, 120, 168, 105, 153)(100, 148, 108, 156, 123, 171, 125, 173, 136, 184, 139, 187, 128, 176, 126, 174, 113, 161, 102, 150, 109, 157, 111, 159)(104, 152, 116, 164, 129, 177, 131, 179, 141, 189, 144, 192, 134, 182, 132, 180, 121, 169, 106, 154, 117, 165, 119, 167)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 123)(12, 124)(13, 99)(14, 125)(15, 107)(16, 109)(17, 101)(18, 102)(19, 129)(20, 130)(21, 103)(22, 131)(23, 115)(24, 117)(25, 105)(26, 106)(27, 135)(28, 136)(29, 137)(30, 112)(31, 113)(32, 114)(33, 140)(34, 141)(35, 142)(36, 120)(37, 121)(38, 122)(39, 139)(40, 138)(41, 128)(42, 126)(43, 127)(44, 144)(45, 143)(46, 134)(47, 132)(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, 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 E22.927
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^12 ]
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, 17, 65)(12, 60, 18, 66)(13, 61, 15, 63)(14, 62, 16, 64)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 23, 71)(22, 70, 24, 72)(27, 75, 33, 81)(28, 76, 34, 82)(29, 77, 31, 79)(30, 78, 32, 80)(35, 83, 41, 89)(36, 84, 42, 90)(37, 85, 39, 87)(38, 86, 40, 88)(43, 91, 46, 94)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 107, 155, 115, 163, 123, 171, 131, 179, 139, 187, 133, 181, 125, 173, 117, 165, 109, 157, 101, 149)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 142, 190, 137, 185, 129, 177, 121, 169, 113, 161, 105, 153)(100, 148, 108, 156, 116, 164, 124, 172, 132, 180, 140, 188, 141, 189, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150)(104, 152, 112, 160, 120, 168, 128, 176, 136, 184, 143, 191, 144, 192, 138, 186, 130, 178, 122, 170, 114, 162, 106, 154)
	L = (1, 100)(2, 104)(3, 108)(4, 99)(5, 102)(6, 97)(7, 112)(8, 103)(9, 106)(10, 98)(11, 116)(12, 107)(13, 110)(14, 101)(15, 120)(16, 111)(17, 114)(18, 105)(19, 124)(20, 115)(21, 118)(22, 109)(23, 128)(24, 119)(25, 122)(26, 113)(27, 132)(28, 123)(29, 126)(30, 117)(31, 136)(32, 127)(33, 130)(34, 121)(35, 140)(36, 131)(37, 134)(38, 125)(39, 143)(40, 135)(41, 138)(42, 129)(43, 141)(44, 139)(45, 133)(46, 144)(47, 142)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.928
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, Y3 * Y2^-1 * Y3^3 * Y2^-1, Y2^3 * Y3 * Y2 * Y3 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
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, 25, 73)(13, 61, 23, 71)(14, 62, 26, 74)(15, 63, 21, 69)(16, 64, 19, 67)(17, 65, 20, 68)(18, 66, 22, 70)(27, 75, 42, 90)(28, 76, 43, 91)(29, 77, 41, 89)(30, 78, 44, 92)(31, 79, 40, 88)(32, 80, 38, 86)(33, 81, 36, 84)(34, 82, 37, 85)(35, 83, 39, 87)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 123, 171, 131, 179, 114, 162, 127, 175, 110, 158, 126, 174, 129, 177, 112, 160, 101, 149)(98, 146, 103, 151, 115, 163, 132, 180, 140, 188, 122, 170, 136, 184, 118, 166, 135, 183, 138, 186, 120, 168, 105, 153)(100, 148, 108, 156, 124, 172, 130, 178, 113, 161, 102, 150, 109, 157, 125, 173, 141, 189, 142, 190, 128, 176, 111, 159)(104, 152, 116, 164, 133, 181, 139, 187, 121, 169, 106, 154, 117, 165, 134, 182, 143, 191, 144, 192, 137, 185, 119, 167)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 124)(12, 126)(13, 99)(14, 125)(15, 127)(16, 128)(17, 101)(18, 102)(19, 133)(20, 135)(21, 103)(22, 134)(23, 136)(24, 137)(25, 105)(26, 106)(27, 130)(28, 129)(29, 107)(30, 141)(31, 109)(32, 114)(33, 142)(34, 112)(35, 113)(36, 139)(37, 138)(38, 115)(39, 143)(40, 117)(41, 122)(42, 144)(43, 120)(44, 121)(45, 123)(46, 131)(47, 132)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E22.929
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-3 * Y3^2, Y1 * Y2^2 * Y1 * Y2^-2, Y1 * Y3^-1 * Y2^-2 * Y3^-1 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y3^8, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-3 * 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, 21, 69)(9, 57, 27, 75)(12, 60, 22, 70)(13, 61, 34, 82)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 38, 86)(18, 66, 28, 76)(19, 67, 39, 87)(20, 68, 25, 73)(23, 71, 45, 93)(24, 72, 41, 89)(26, 74, 35, 83)(29, 77, 47, 95)(31, 79, 42, 90)(33, 81, 44, 92)(36, 84, 40, 88)(37, 85, 48, 96)(43, 91, 46, 94)(97, 145, 99, 147, 108, 156, 111, 159, 132, 180, 123, 171, 140, 188, 117, 165, 138, 186, 116, 164, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 121, 169, 136, 184, 113, 161, 129, 177, 107, 155, 127, 175, 126, 174, 124, 172, 105, 153)(100, 148, 109, 157, 131, 179, 133, 181, 141, 189, 143, 191, 139, 187, 137, 185, 115, 163, 102, 150, 110, 158, 112, 160)(104, 152, 119, 167, 134, 182, 142, 190, 130, 178, 135, 183, 144, 192, 128, 176, 125, 173, 106, 154, 120, 168, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 131)(13, 132)(14, 99)(15, 133)(16, 108)(17, 135)(18, 110)(19, 101)(20, 102)(21, 137)(22, 134)(23, 136)(24, 103)(25, 142)(26, 118)(27, 143)(28, 120)(29, 105)(30, 106)(31, 125)(32, 124)(33, 144)(34, 107)(35, 123)(36, 141)(37, 140)(38, 113)(39, 127)(40, 130)(41, 114)(42, 115)(43, 116)(44, 139)(45, 117)(46, 129)(47, 138)(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, 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 E22.931
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^3 * Y3^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3^-2 * Y2 * Y3^-2 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^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, 27, 75)(12, 60, 22, 70)(13, 61, 34, 82)(14, 62, 32, 80)(15, 63, 30, 78)(16, 64, 39, 87)(18, 66, 28, 76)(19, 67, 41, 89)(20, 68, 25, 73)(23, 71, 40, 88)(24, 72, 44, 92)(26, 74, 47, 95)(29, 77, 35, 83)(31, 79, 38, 86)(33, 81, 45, 93)(36, 84, 42, 90)(37, 85, 48, 96)(43, 91, 46, 94)(97, 145, 99, 147, 108, 156, 116, 164, 132, 180, 123, 171, 141, 189, 117, 165, 134, 182, 111, 159, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 126, 174, 138, 186, 113, 161, 129, 177, 107, 155, 127, 175, 121, 169, 124, 172, 105, 153)(100, 148, 109, 157, 115, 163, 102, 150, 110, 158, 131, 179, 139, 187, 140, 188, 143, 191, 133, 181, 136, 184, 112, 160)(104, 152, 119, 167, 125, 173, 106, 154, 120, 168, 137, 185, 144, 192, 128, 176, 135, 183, 142, 190, 130, 178, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 119)(8, 121)(9, 122)(10, 98)(11, 128)(12, 115)(13, 114)(14, 99)(15, 133)(16, 134)(17, 137)(18, 136)(19, 101)(20, 102)(21, 140)(22, 125)(23, 124)(24, 103)(25, 142)(26, 127)(27, 131)(28, 130)(29, 105)(30, 106)(31, 135)(32, 138)(33, 144)(34, 107)(35, 108)(36, 110)(37, 141)(38, 143)(39, 113)(40, 117)(41, 118)(42, 120)(43, 116)(44, 132)(45, 139)(46, 129)(47, 123)(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, 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 E22.930
Graph:: simple bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, (R * Y2 * Y3)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^2 * Y3 * Y2^-2, Y1 * Y2^6, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 ]
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, 29, 77)(22, 70, 30, 78)(23, 71, 31, 79)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 34, 82)(27, 75, 35, 83)(28, 76, 36, 84)(37, 85, 46, 94)(38, 86, 44, 92)(39, 87, 41, 89)(40, 88, 42, 90)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 116, 164, 104, 152, 98, 146, 102, 150, 111, 159, 125, 173, 110, 158, 101, 149)(100, 148, 107, 155, 118, 166, 134, 182, 131, 179, 114, 162, 103, 151, 113, 161, 126, 174, 140, 188, 123, 171, 108, 156)(106, 154, 119, 167, 133, 181, 132, 180, 115, 163, 128, 176, 112, 160, 127, 175, 142, 190, 124, 172, 109, 157, 120, 168)(121, 169, 137, 185, 143, 191, 141, 189, 130, 178, 136, 184, 129, 177, 135, 183, 144, 192, 139, 187, 122, 170, 138, 186)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 121)(12, 122)(13, 101)(14, 123)(15, 126)(16, 102)(17, 129)(18, 130)(19, 104)(20, 131)(21, 133)(22, 105)(23, 135)(24, 136)(25, 107)(26, 108)(27, 110)(28, 141)(29, 142)(30, 111)(31, 137)(32, 138)(33, 113)(34, 114)(35, 116)(36, 139)(37, 117)(38, 143)(39, 119)(40, 120)(41, 127)(42, 128)(43, 132)(44, 144)(45, 124)(46, 125)(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) :: { ( 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 E22.933
Graph:: bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y3, Y2^2 * Y1 * Y2^-2 * Y1, Y3 * Y2^2 * Y3 * Y2^-2, (Y2^-1 * R * Y2^-1)^2, Y2^-3 * Y1 * Y3 * Y2^-3, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y1 * Y2^-1)^24 ]
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, 18, 66)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 24, 72)(25, 73, 39, 87)(26, 74, 40, 88)(27, 75, 45, 93)(28, 76, 38, 86)(29, 77, 35, 83)(30, 78, 36, 84)(31, 79, 41, 89)(32, 80, 43, 91)(33, 81, 42, 90)(34, 82, 46, 94)(37, 85, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 137, 185, 117, 165, 103, 151, 116, 164, 134, 182, 130, 178, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 133, 181, 127, 175, 109, 157, 100, 148, 108, 156, 124, 172, 140, 188, 120, 168, 104, 152)(105, 153, 121, 169, 141, 189, 129, 177, 111, 159, 126, 174, 107, 155, 125, 173, 142, 190, 128, 176, 110, 158, 122, 170)(113, 161, 131, 179, 143, 191, 139, 187, 119, 167, 136, 184, 115, 163, 135, 183, 144, 192, 138, 186, 118, 166, 132, 180)
	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, 127)(17, 108)(18, 134)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 137)(25, 131)(26, 132)(27, 142)(28, 106)(29, 135)(30, 136)(31, 112)(32, 138)(33, 139)(34, 141)(35, 121)(36, 122)(37, 144)(38, 114)(39, 125)(40, 126)(41, 120)(42, 128)(43, 129)(44, 143)(45, 130)(46, 123)(47, 140)(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, 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 E22.932
Graph:: bipartite
	v = 28 e = 96 f = 26
	degree seq :: [ 4^24, 24^4 ]

E22.926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1, Y1), (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^-3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1^6 * Y3^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-5, Y3^8, Y1^15 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 35, 83, 34, 82, 18, 66, 26, 74, 15, 63, 4, 52, 9, 57, 21, 69, 37, 85, 33, 81, 17, 65, 6, 54, 10, 58, 22, 70, 14, 62, 25, 73, 40, 88, 32, 80, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 43, 91, 48, 96, 42, 90, 31, 79, 38, 86, 23, 71, 12, 60, 28, 76, 44, 92, 47, 95, 39, 87, 24, 72, 13, 61, 29, 77, 41, 89, 30, 78, 45, 93, 46, 94, 36, 84, 20, 68, 8, 56)(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, 132, 180)(117, 165, 135, 183)(118, 166, 134, 182)(121, 169, 138, 186)(122, 170, 137, 185)(128, 176, 139, 187)(129, 177, 140, 188)(130, 178, 141, 189)(131, 179, 142, 190)(133, 181, 143, 191)(136, 184, 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, 115)(15, 118)(16, 122)(17, 101)(18, 102)(19, 133)(20, 134)(21, 136)(22, 103)(23, 137)(24, 104)(25, 131)(26, 106)(27, 140)(28, 141)(29, 107)(30, 139)(31, 109)(32, 114)(33, 112)(34, 113)(35, 129)(36, 127)(37, 128)(38, 125)(39, 116)(40, 130)(41, 123)(42, 120)(43, 143)(44, 142)(45, 144)(46, 138)(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, 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.918
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (Y3 * Y2)^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 6, 54, 10, 58, 18, 66, 16, 64, 22, 70, 30, 78, 28, 76, 34, 82, 41, 89, 38, 86, 44, 92, 39, 87, 26, 74, 33, 81, 27, 75, 14, 62, 21, 69, 15, 63, 4, 52, 9, 57, 5, 53)(3, 51, 11, 59, 20, 68, 13, 61, 23, 71, 32, 80, 25, 73, 35, 83, 43, 91, 37, 85, 45, 93, 48, 96, 46, 94, 47, 95, 42, 90, 36, 84, 40, 88, 31, 79, 24, 72, 29, 77, 19, 67, 12, 60, 17, 65, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 113, 161)(105, 153, 116, 164)(106, 154, 115, 163)(110, 158, 121, 169)(111, 159, 119, 167)(112, 160, 120, 168)(114, 162, 125, 173)(117, 165, 128, 176)(118, 166, 127, 175)(122, 170, 133, 181)(123, 171, 131, 179)(124, 172, 132, 180)(126, 174, 136, 184)(129, 177, 139, 187)(130, 178, 138, 186)(134, 182, 142, 190)(135, 183, 141, 189)(137, 185, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 101)(8, 115)(9, 117)(10, 98)(11, 113)(12, 120)(13, 99)(14, 122)(15, 123)(16, 102)(17, 125)(18, 103)(19, 127)(20, 104)(21, 129)(22, 106)(23, 107)(24, 132)(25, 109)(26, 134)(27, 135)(28, 112)(29, 136)(30, 114)(31, 138)(32, 116)(33, 140)(34, 118)(35, 119)(36, 142)(37, 121)(38, 124)(39, 137)(40, 143)(41, 126)(42, 144)(43, 128)(44, 130)(45, 131)(46, 133)(47, 141)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.919
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^24, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53, 9, 57, 13, 61, 17, 65, 21, 69, 25, 73, 29, 77, 33, 81, 37, 85, 41, 89, 45, 93, 44, 92, 40, 88, 36, 84, 32, 80, 28, 76, 24, 72, 20, 68, 16, 64, 12, 60, 8, 56, 4, 52)(3, 51, 7, 55, 11, 59, 15, 63, 19, 67, 23, 71, 27, 75, 31, 79, 35, 83, 39, 87, 43, 91, 47, 95, 48, 96, 46, 94, 42, 90, 38, 86, 34, 82, 30, 78, 26, 74, 22, 70, 18, 66, 14, 62, 10, 58, 6, 54)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 103, 151)(101, 149, 106, 154)(104, 152, 107, 155)(105, 153, 110, 158)(108, 156, 111, 159)(109, 157, 114, 162)(112, 160, 115, 163)(113, 161, 118, 166)(116, 164, 119, 167)(117, 165, 122, 170)(120, 168, 123, 171)(121, 169, 126, 174)(124, 172, 127, 175)(125, 173, 130, 178)(128, 176, 131, 179)(129, 177, 134, 182)(132, 180, 135, 183)(133, 181, 138, 186)(136, 184, 139, 187)(137, 185, 142, 190)(140, 188, 143, 191)(141, 189, 144, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 105)(6, 99)(7, 107)(8, 100)(9, 109)(10, 102)(11, 111)(12, 104)(13, 113)(14, 106)(15, 115)(16, 108)(17, 117)(18, 110)(19, 119)(20, 112)(21, 121)(22, 114)(23, 123)(24, 116)(25, 125)(26, 118)(27, 127)(28, 120)(29, 129)(30, 122)(31, 131)(32, 124)(33, 133)(34, 126)(35, 135)(36, 128)(37, 137)(38, 130)(39, 139)(40, 132)(41, 141)(42, 134)(43, 143)(44, 136)(45, 140)(46, 138)(47, 144)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.920
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = D48 (small group id <48, 7>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, (Y3 * Y2)^2, Y3^2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-4 * Y1^-1 * Y3^-7, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 16, 64, 25, 73, 33, 81, 41, 89, 40, 88, 32, 80, 24, 72, 15, 63, 6, 54, 10, 58, 4, 52, 9, 57, 18, 66, 27, 75, 35, 83, 43, 91, 39, 87, 31, 79, 23, 71, 14, 62, 5, 53)(3, 51, 11, 59, 21, 69, 29, 77, 37, 85, 45, 93, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68, 13, 61, 19, 67, 12, 60, 22, 70, 30, 78, 38, 86, 46, 94, 47, 95, 42, 90, 34, 82, 26, 74, 17, 65, 8, 56)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 113, 161)(105, 153, 116, 164)(106, 154, 115, 163)(110, 158, 117, 165)(111, 159, 118, 166)(112, 160, 122, 170)(114, 162, 124, 172)(119, 167, 125, 173)(120, 168, 126, 174)(121, 169, 130, 178)(123, 171, 132, 180)(127, 175, 133, 181)(128, 176, 134, 182)(129, 177, 138, 186)(131, 179, 140, 188)(135, 183, 141, 189)(136, 184, 142, 190)(137, 185, 143, 191)(139, 187, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 103)(5, 106)(6, 97)(7, 114)(8, 115)(9, 112)(10, 98)(11, 118)(12, 117)(13, 99)(14, 102)(15, 101)(16, 123)(17, 109)(18, 121)(19, 107)(20, 104)(21, 126)(22, 125)(23, 111)(24, 110)(25, 131)(26, 116)(27, 129)(28, 113)(29, 134)(30, 133)(31, 120)(32, 119)(33, 139)(34, 124)(35, 137)(36, 122)(37, 142)(38, 141)(39, 128)(40, 127)(41, 135)(42, 132)(43, 136)(44, 130)(45, 143)(46, 144)(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, 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.921
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y1^-1, Y3), (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y3^-1, Y2 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3^-2 * Y1^-1 * Y3^-3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 37, 85, 36, 84, 20, 68, 30, 78, 16, 64, 4, 52, 9, 57, 23, 71, 39, 87, 35, 83, 19, 67, 6, 54, 10, 58, 24, 72, 15, 63, 29, 77, 42, 90, 34, 82, 18, 66, 5, 53)(3, 51, 11, 59, 31, 79, 43, 91, 46, 94, 41, 89, 27, 75, 8, 56, 25, 73, 12, 60, 32, 80, 44, 92, 48, 96, 40, 88, 22, 70, 14, 62, 26, 74, 17, 65, 33, 81, 45, 93, 47, 95, 38, 86, 28, 76, 13, 61)(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, 126, 174)(109, 157, 120, 168)(111, 159, 123, 171)(112, 160, 121, 169)(114, 162, 128, 176)(115, 163, 127, 175)(116, 164, 129, 177)(117, 165, 134, 182)(119, 167, 137, 185)(125, 173, 136, 184)(130, 178, 139, 187)(131, 179, 141, 189)(132, 180, 140, 188)(133, 181, 142, 190)(135, 183, 144, 192)(138, 186, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 128)(12, 129)(13, 121)(14, 99)(15, 117)(16, 120)(17, 127)(18, 126)(19, 101)(20, 102)(21, 135)(22, 109)(23, 138)(24, 103)(25, 113)(26, 107)(27, 110)(28, 104)(29, 133)(30, 106)(31, 140)(32, 141)(33, 139)(34, 116)(35, 114)(36, 115)(37, 131)(38, 123)(39, 130)(40, 124)(41, 118)(42, 132)(43, 144)(44, 143)(45, 142)(46, 136)(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, 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.923
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-3, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * R)^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 6, 54, 10, 58, 20, 68, 18, 66, 26, 74, 38, 86, 34, 82, 42, 90, 47, 95, 45, 93, 48, 96, 43, 91, 32, 80, 41, 89, 31, 79, 15, 63, 25, 73, 16, 64, 4, 52, 9, 57, 5, 53)(3, 51, 11, 59, 27, 75, 14, 62, 22, 70, 40, 88, 23, 71, 8, 56, 21, 69, 39, 87, 24, 72, 36, 84, 46, 94, 37, 85, 19, 67, 35, 83, 33, 81, 17, 65, 29, 77, 44, 92, 30, 78, 12, 60, 28, 76, 13, 61)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 120, 168)(106, 154, 118, 166)(107, 155, 122, 170)(109, 157, 127, 175)(111, 159, 119, 167)(112, 160, 126, 174)(114, 162, 125, 173)(116, 164, 132, 180)(117, 165, 134, 182)(121, 169, 133, 181)(123, 171, 139, 187)(124, 172, 138, 186)(128, 176, 135, 183)(129, 177, 137, 185)(130, 178, 131, 179)(136, 184, 143, 191)(140, 188, 144, 192)(141, 189, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 101)(8, 118)(9, 121)(10, 98)(11, 124)(12, 125)(13, 126)(14, 99)(15, 128)(16, 127)(17, 115)(18, 102)(19, 132)(20, 103)(21, 136)(22, 107)(23, 110)(24, 104)(25, 137)(26, 106)(27, 109)(28, 140)(29, 131)(30, 113)(31, 139)(32, 141)(33, 133)(34, 114)(35, 142)(36, 117)(37, 120)(38, 116)(39, 119)(40, 123)(41, 144)(42, 122)(43, 143)(44, 129)(45, 130)(46, 135)(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) :: { ( 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.922
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y1^2 * Y3 * Y1^-2, Y3 * Y1^-5 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 33, 81, 27, 75, 40, 88, 41, 89, 48, 96, 44, 92, 24, 72, 10, 58, 3, 51, 7, 55, 16, 64, 34, 82, 47, 95, 42, 90, 46, 94, 26, 74, 39, 87, 32, 80, 14, 62, 5, 53)(4, 52, 11, 59, 25, 73, 45, 93, 30, 78, 13, 61, 29, 77, 18, 66, 37, 85, 35, 83, 31, 79, 22, 70, 9, 57, 21, 69, 17, 65, 36, 84, 43, 91, 23, 71, 20, 68, 8, 56, 19, 67, 38, 86, 28, 76, 12, 60)(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, 130, 178)(113, 161, 121, 169)(115, 163, 133, 181)(116, 164, 125, 173)(122, 170, 137, 185)(123, 171, 138, 186)(124, 172, 127, 175)(126, 174, 139, 187)(128, 176, 140, 188)(129, 177, 143, 191)(131, 179, 134, 182)(132, 180, 141, 189)(135, 183, 144, 192)(136, 184, 142, 190)
	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, 127)(15, 131)(16, 121)(17, 102)(18, 103)(19, 135)(20, 136)(21, 137)(22, 138)(23, 106)(24, 124)(25, 112)(26, 107)(27, 108)(28, 120)(29, 142)(30, 129)(31, 110)(32, 132)(33, 126)(34, 134)(35, 111)(36, 128)(37, 144)(38, 130)(39, 115)(40, 116)(41, 117)(42, 118)(43, 143)(44, 141)(45, 140)(46, 125)(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, 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.925
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y2, Y1^-2 * Y2 * Y1^2 * Y3, Y2 * Y1^-2 * Y3 * Y1^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 28, 76, 43, 91, 26, 74, 42, 90, 48, 96, 45, 93, 27, 75, 10, 58, 21, 69, 39, 87, 47, 95, 46, 94, 29, 77, 44, 92, 25, 73, 41, 89, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 19, 67, 40, 88, 32, 80, 14, 62, 24, 72, 8, 56, 23, 71, 36, 84, 31, 79, 13, 61, 4, 52, 12, 60, 18, 66, 38, 86, 33, 81, 15, 63, 22, 70, 7, 55, 20, 68, 37, 85, 30, 78, 11, 59)(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, 122, 170)(109, 157, 125, 173)(111, 159, 123, 171)(112, 160, 127, 175)(113, 161, 132, 180)(115, 163, 135, 183)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(126, 174, 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, 121)(13, 124)(14, 123)(15, 101)(16, 126)(17, 133)(18, 135)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 108)(26, 105)(27, 110)(28, 109)(29, 107)(30, 112)(31, 141)(32, 142)(33, 131)(34, 136)(35, 129)(36, 143)(37, 113)(38, 144)(39, 114)(40, 130)(41, 119)(42, 116)(43, 120)(44, 118)(45, 127)(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, 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, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.924
Graph:: bipartite
	v = 26 e = 96 f = 28
	degree seq :: [ 4^24, 48^2 ]

E22.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 12, 24})
Quotient :: dipole
Aut^+ = C3 x QD16 (small group id <48, 26>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, (Y3^-1, Y1^-1), (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y2 * Y3 * Y2 * Y3^2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2 * Y3 * Y1^-2, Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 27, 75, 20, 68, 4, 52, 10, 58, 7, 55, 12, 60, 30, 78, 19, 67, 5, 53)(3, 51, 13, 61, 28, 76, 11, 59, 36, 84, 15, 63, 35, 83, 17, 65, 37, 85, 26, 74, 39, 87, 16, 64)(6, 54, 22, 70, 29, 77, 18, 66, 32, 80, 23, 71, 34, 82, 25, 73, 40, 88, 21, 69, 33, 81, 9, 57)(14, 62, 42, 90, 45, 93, 41, 89, 48, 96, 38, 86, 47, 95, 31, 79, 46, 94, 44, 92, 24, 72, 43, 91)(97, 145, 99, 147, 110, 158, 125, 173, 104, 152, 124, 172, 141, 189, 128, 176, 116, 164, 132, 180, 144, 192, 130, 178, 106, 154, 131, 179, 143, 191, 136, 184, 108, 156, 133, 181, 142, 190, 129, 177, 115, 163, 135, 183, 120, 168, 102, 150)(98, 146, 105, 153, 127, 175, 111, 159, 123, 171, 118, 166, 140, 188, 113, 161, 100, 148, 114, 162, 139, 187, 122, 170, 103, 151, 119, 167, 138, 186, 112, 160, 126, 174, 121, 169, 137, 185, 109, 157, 101, 149, 117, 165, 134, 182, 107, 155)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 116)(6, 119)(7, 97)(8, 103)(9, 128)(10, 101)(11, 133)(12, 98)(13, 131)(14, 134)(15, 135)(16, 132)(17, 99)(18, 136)(19, 123)(20, 126)(21, 125)(22, 130)(23, 129)(24, 137)(25, 102)(26, 124)(27, 108)(28, 113)(29, 121)(30, 104)(31, 110)(32, 117)(33, 114)(34, 105)(35, 112)(36, 122)(37, 109)(38, 120)(39, 107)(40, 118)(41, 142)(42, 143)(43, 144)(44, 141)(45, 127)(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 ), ( 4^48 ) }
Outer automorphisms :: reflexible
Dual of E22.917
Graph:: bipartite
	v = 6 e = 96 f = 48
	degree seq :: [ 24^4, 48^2 ]

E22.935 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^4, T2^-1 * T1^-1 * T2^-1 * T1^-3 * T2^-4, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 47, 37, 30, 16, 6, 15, 29, 44, 39, 23, 11, 21, 35, 26, 42, 41, 25, 13, 5)(2, 7, 17, 31, 45, 38, 22, 36, 28, 14, 27, 43, 40, 24, 12, 4, 10, 20, 34, 48, 46, 32, 18, 8)(49, 50, 54, 62, 74, 82, 67, 79, 92, 88, 73, 80, 85, 70, 59, 52)(51, 55, 63, 75, 90, 96, 81, 93, 87, 72, 61, 66, 78, 84, 69, 58)(53, 56, 64, 76, 83, 68, 57, 65, 77, 91, 89, 94, 95, 86, 71, 60)
	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) :: { ( 96^16 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.954
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 1
	degree seq :: [ 16^3, 24^2 ]

E22.936 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2^2 * T1^2, T1^2 * T2^-1 * T1 * T2^-5 * T1, T2^-2 * T1^-3 * 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 * 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, 33, 42, 26, 39, 23, 11, 21, 35, 44, 30, 16, 6, 15, 29, 37, 47, 41, 25, 13, 5)(2, 7, 17, 31, 45, 48, 40, 24, 12, 4, 10, 20, 34, 43, 28, 14, 27, 38, 22, 36, 46, 32, 18, 8)(49, 50, 54, 62, 74, 88, 73, 80, 92, 82, 67, 79, 85, 70, 59, 52)(51, 55, 63, 75, 87, 72, 61, 66, 78, 91, 81, 93, 95, 84, 69, 58)(53, 56, 64, 76, 90, 96, 89, 94, 83, 68, 57, 65, 77, 86, 71, 60)
	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) :: { ( 96^16 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.953
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 1
	degree seq :: [ 16^3, 24^2 ]

E22.937 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^-16, T1^16 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 37, 42, 47, 44, 46, 39, 32, 34, 27, 20, 22, 15, 6, 13, 5)(2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 36, 41, 43, 48, 45, 38, 40, 33, 26, 28, 21, 14, 16, 8)(49, 50, 54, 62, 68, 74, 80, 86, 92, 91, 85, 79, 73, 67, 59, 52)(51, 55, 61, 64, 70, 76, 82, 88, 94, 96, 90, 84, 78, 72, 66, 58)(53, 56, 63, 69, 75, 81, 87, 93, 95, 89, 83, 77, 71, 65, 57, 60)
	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) :: { ( 96^16 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.951
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 1
	degree seq :: [ 16^3, 24^2 ]

E22.938 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^16, T1^-32 ]
Map:: non-degenerate
	R = (1, 3, 9, 6, 15, 22, 20, 27, 34, 32, 39, 46, 44, 48, 42, 35, 37, 30, 23, 25, 18, 11, 13, 5)(2, 7, 16, 14, 21, 28, 26, 33, 40, 38, 45, 47, 41, 43, 36, 29, 31, 24, 17, 19, 12, 4, 10, 8)(49, 50, 54, 62, 68, 74, 80, 86, 92, 89, 83, 77, 71, 65, 59, 52)(51, 55, 63, 69, 75, 81, 87, 93, 96, 91, 85, 79, 73, 67, 61, 58)(53, 56, 57, 64, 70, 76, 82, 88, 94, 95, 90, 84, 78, 72, 66, 60)
	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) :: { ( 96^16 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.952
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 1
	degree seq :: [ 16^3, 24^2 ]

E22.939 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^24, (T2^-1 * T1^-1)^16 ]
Map:: non-degenerate
	R = (1, 3, 2, 7, 6, 11, 10, 15, 14, 19, 18, 23, 22, 27, 26, 31, 30, 35, 34, 39, 38, 43, 42, 47, 46, 48, 44, 45, 40, 41, 36, 37, 32, 33, 28, 29, 24, 25, 20, 21, 16, 17, 12, 13, 8, 9, 4, 5)(49, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 92, 88, 84, 80, 76, 72, 68, 64, 60, 56, 52)(51, 55, 59, 63, 67, 71, 75, 79, 83, 87, 91, 95, 96, 93, 89, 85, 81, 77, 73, 69, 65, 61, 57, 53)
	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) :: { ( 32^24 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E22.956
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.940 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1 * T2 * T1^4 * T2, T2 * T1 * T2^9, T2^4 * T1^-1 * T2^4 * T1^-3, (T2^-1 * T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 40, 44, 34, 24, 12, 4, 10, 20, 31, 41, 46, 36, 26, 14, 23, 11, 21, 32, 42, 47, 37, 27, 16, 6, 15, 22, 33, 43, 48, 39, 29, 18, 8, 2, 7, 17, 28, 38, 45, 35, 25, 13, 5)(49, 50, 54, 62, 72, 61, 66, 75, 84, 92, 83, 87, 95, 89, 78, 86, 91, 80, 68, 57, 65, 70, 59, 52)(51, 55, 63, 71, 60, 53, 56, 64, 74, 82, 73, 77, 85, 94, 88, 93, 96, 90, 79, 67, 76, 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) :: { ( 32^24 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E22.958
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.941 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^6, T1^7 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 26, 42, 44, 32, 18, 8, 2, 7, 17, 31, 39, 23, 11, 21, 35, 46, 48, 43, 30, 16, 6, 15, 29, 40, 24, 12, 4, 10, 20, 34, 45, 47, 37, 28, 14, 27, 41, 25, 13, 5)(49, 50, 54, 62, 74, 83, 68, 57, 65, 77, 89, 92, 96, 93, 81, 87, 72, 61, 66, 78, 85, 70, 59, 52)(51, 55, 63, 75, 90, 94, 82, 67, 79, 88, 73, 80, 91, 95, 86, 71, 60, 53, 56, 64, 76, 84, 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) :: { ( 32^24 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E22.955
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.942 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1 * T2^-3, T1^3 * T2 * T1^2 * T2 * T1^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 42, 47, 39, 45, 36, 43, 38, 29, 20, 27, 22, 12, 4, 10, 18, 8, 2, 7, 17, 25, 14, 24, 34, 41, 31, 40, 44, 48, 46, 37, 28, 35, 30, 21, 11, 19, 13, 5)(49, 50, 54, 62, 71, 79, 87, 94, 86, 78, 70, 61, 66, 57, 65, 74, 82, 90, 92, 84, 76, 68, 59, 52)(51, 55, 63, 72, 80, 88, 93, 85, 77, 69, 60, 53, 56, 64, 73, 81, 89, 95, 96, 91, 83, 75, 67, 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) :: { ( 32^24 ), ( 32^48 ) }
Outer automorphisms :: reflexible
Dual of E22.957
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 48 f = 3
	degree seq :: [ 24^2, 48 ]

E22.943 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2^-3 * T1^3, T2^-1 * T1^-15, T2^16, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 41, 48, 44, 37, 33, 26, 19, 13, 5)(2, 7, 17, 22, 29, 36, 40, 47, 45, 38, 31, 27, 20, 11, 18, 8)(4, 10, 16, 6, 15, 24, 28, 35, 42, 46, 43, 39, 32, 25, 21, 12)(49, 50, 54, 62, 70, 76, 82, 88, 94, 92, 86, 80, 74, 68, 60, 53, 56, 64, 57, 65, 72, 78, 84, 90, 96, 93, 87, 81, 75, 69, 61, 66, 58, 51, 55, 63, 71, 77, 83, 89, 95, 91, 85, 79, 73, 67, 59, 52)
	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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.948
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.944 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^16 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 41, 35, 29, 23, 17, 11, 5)(2, 7, 13, 19, 25, 31, 37, 43, 48, 44, 38, 32, 26, 20, 14, 8)(4, 10, 16, 22, 28, 34, 40, 46, 47, 42, 36, 30, 24, 18, 12, 6)(49, 50, 54, 53, 56, 60, 59, 62, 66, 65, 68, 72, 71, 74, 78, 77, 80, 84, 83, 86, 90, 89, 92, 95, 93, 96, 94, 87, 91, 88, 81, 85, 82, 75, 79, 76, 69, 73, 70, 63, 67, 64, 57, 61, 58, 51, 55, 52)
	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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.949
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.945 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^6, T2^7 * T1^-3, T1^2 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 40, 28, 14, 27, 22, 36, 45, 38, 25, 13, 5)(2, 7, 17, 31, 43, 47, 39, 26, 23, 11, 21, 35, 44, 32, 18, 8)(4, 10, 20, 34, 42, 30, 16, 6, 15, 29, 41, 48, 46, 37, 24, 12)(49, 50, 54, 62, 74, 72, 61, 66, 78, 88, 95, 94, 86, 92, 82, 67, 79, 89, 84, 69, 58, 51, 55, 63, 75, 71, 60, 53, 56, 64, 76, 87, 85, 73, 80, 90, 81, 91, 96, 93, 83, 68, 57, 65, 77, 70, 59, 52)
	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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.947
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.946 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {16, 24, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2^-1 * T1^-1 * T2^-4, T2^3 * T1^-1 * T2^2 * T1^4, T1^-1 * T2 * T1^-8, T2^2 * T1^-1 * T2 * T1^-2 * T2^3 * T1^-3, (T1 * T2^-1 * T1^-2 * T2^2)^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 22, 36, 45, 48, 41, 28, 14, 27, 25, 13, 5)(2, 7, 17, 31, 23, 11, 21, 35, 44, 47, 40, 26, 39, 32, 18, 8)(4, 10, 20, 34, 43, 37, 38, 46, 42, 30, 16, 6, 15, 29, 24, 12)(49, 50, 54, 62, 74, 86, 84, 69, 58, 51, 55, 63, 75, 87, 94, 93, 83, 68, 57, 65, 77, 73, 80, 90, 96, 92, 82, 67, 79, 72, 61, 66, 78, 89, 95, 91, 81, 71, 60, 53, 56, 64, 76, 88, 85, 70, 59, 52)
	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) :: { ( 48^16 ), ( 48^48 ) }
Outer automorphisms :: reflexible
Dual of E22.950
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 16^3, 48 ]

E22.947 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^4, T2^-1 * T1^-1 * T2^-1 * T1^-3 * T2^-4, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 47, 95, 37, 85, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 44, 92, 39, 87, 23, 71, 11, 59, 21, 69, 35, 83, 26, 74, 42, 90, 41, 89, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 45, 93, 38, 86, 22, 70, 36, 84, 28, 76, 14, 62, 27, 75, 43, 91, 40, 88, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 34, 82, 48, 96, 46, 94, 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, 82)(27, 90)(28, 83)(29, 91)(30, 84)(31, 92)(32, 85)(33, 93)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 72)(40, 73)(41, 94)(42, 96)(43, 89)(44, 88)(45, 87)(46, 95)(47, 86)(48, 81)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.945
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.948 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T1^3 * T2 * T1 * T2^2 * T1^2, T1^2 * T2^-1 * T1 * T2^-5 * T1, T2^-2 * T1^-3 * 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 * 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, 49, 3, 51, 9, 57, 19, 67, 33, 81, 42, 90, 26, 74, 39, 87, 23, 71, 11, 59, 21, 69, 35, 83, 44, 92, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 37, 85, 47, 95, 41, 89, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 45, 93, 48, 96, 40, 88, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 34, 82, 43, 91, 28, 76, 14, 62, 27, 75, 38, 86, 22, 70, 36, 84, 46, 94, 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, 88)(27, 87)(28, 90)(29, 86)(30, 91)(31, 85)(32, 92)(33, 93)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 72)(40, 73)(41, 94)(42, 96)(43, 81)(44, 82)(45, 95)(46, 83)(47, 84)(48, 89)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.943
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.949 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2, T1^-1), T2^3 * T1^2, T1^-16, T1^16 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 11, 59, 18, 66, 23, 71, 25, 73, 30, 78, 35, 83, 37, 85, 42, 90, 47, 95, 44, 92, 46, 94, 39, 87, 32, 80, 34, 82, 27, 75, 20, 68, 22, 70, 15, 63, 6, 54, 13, 61, 5, 53)(2, 50, 7, 55, 12, 60, 4, 52, 10, 58, 17, 65, 19, 67, 24, 72, 29, 77, 31, 79, 36, 84, 41, 89, 43, 91, 48, 96, 45, 93, 38, 86, 40, 88, 33, 81, 26, 74, 28, 76, 21, 69, 14, 62, 16, 64, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 61)(8, 63)(9, 60)(10, 51)(11, 52)(12, 53)(13, 64)(14, 68)(15, 69)(16, 70)(17, 57)(18, 58)(19, 59)(20, 74)(21, 75)(22, 76)(23, 65)(24, 66)(25, 67)(26, 80)(27, 81)(28, 82)(29, 71)(30, 72)(31, 73)(32, 86)(33, 87)(34, 88)(35, 77)(36, 78)(37, 79)(38, 92)(39, 93)(40, 94)(41, 83)(42, 84)(43, 85)(44, 91)(45, 95)(46, 96)(47, 89)(48, 90)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.944
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.950 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^3 * T1^-2, T1^16, T1^-32 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 6, 54, 15, 63, 22, 70, 20, 68, 27, 75, 34, 82, 32, 80, 39, 87, 46, 94, 44, 92, 48, 96, 42, 90, 35, 83, 37, 85, 30, 78, 23, 71, 25, 73, 18, 66, 11, 59, 13, 61, 5, 53)(2, 50, 7, 55, 16, 64, 14, 62, 21, 69, 28, 76, 26, 74, 33, 81, 40, 88, 38, 86, 45, 93, 47, 95, 41, 89, 43, 91, 36, 84, 29, 77, 31, 79, 24, 72, 17, 65, 19, 67, 12, 60, 4, 52, 10, 58, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 57)(9, 64)(10, 51)(11, 52)(12, 53)(13, 58)(14, 68)(15, 69)(16, 70)(17, 59)(18, 60)(19, 61)(20, 74)(21, 75)(22, 76)(23, 65)(24, 66)(25, 67)(26, 80)(27, 81)(28, 82)(29, 71)(30, 72)(31, 73)(32, 86)(33, 87)(34, 88)(35, 77)(36, 78)(37, 79)(38, 92)(39, 93)(40, 94)(41, 83)(42, 84)(43, 85)(44, 89)(45, 96)(46, 95)(47, 90)(48, 91)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.946
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.951 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^2, (F * T1)^2, (F * T2)^2, T1^24, (T2^-1 * T1^-1)^16 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 2, 50, 7, 55, 6, 54, 11, 59, 10, 58, 15, 63, 14, 62, 19, 67, 18, 66, 23, 71, 22, 70, 27, 75, 26, 74, 31, 79, 30, 78, 35, 83, 34, 82, 39, 87, 38, 86, 43, 91, 42, 90, 47, 95, 46, 94, 48, 96, 44, 92, 45, 93, 40, 88, 41, 89, 36, 84, 37, 85, 32, 80, 33, 81, 28, 76, 29, 77, 24, 72, 25, 73, 20, 68, 21, 69, 16, 64, 17, 65, 12, 60, 13, 61, 8, 56, 9, 57, 4, 52, 5, 53)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 51)(6, 58)(7, 59)(8, 52)(9, 53)(10, 62)(11, 63)(12, 56)(13, 57)(14, 66)(15, 67)(16, 60)(17, 61)(18, 70)(19, 71)(20, 64)(21, 65)(22, 74)(23, 75)(24, 68)(25, 69)(26, 78)(27, 79)(28, 72)(29, 73)(30, 82)(31, 83)(32, 76)(33, 77)(34, 86)(35, 87)(36, 80)(37, 81)(38, 90)(39, 91)(40, 84)(41, 85)(42, 94)(43, 95)(44, 88)(45, 89)(46, 92)(47, 96)(48, 93)
	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, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 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 E22.937
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 5
	degree seq :: [ 96 ]

E22.952 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T1 * T2 * T1^4 * T2, T2 * T1 * T2^9, T2^4 * T1^-1 * T2^4 * T1^-3, (T2^-1 * T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 30, 78, 40, 88, 44, 92, 34, 82, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 31, 79, 41, 89, 46, 94, 36, 84, 26, 74, 14, 62, 23, 71, 11, 59, 21, 69, 32, 80, 42, 90, 47, 95, 37, 85, 27, 75, 16, 64, 6, 54, 15, 63, 22, 70, 33, 81, 43, 91, 48, 96, 39, 87, 29, 77, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 28, 76, 38, 86, 45, 93, 35, 83, 25, 73, 13, 61, 5, 53)
	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, 72)(15, 71)(16, 74)(17, 70)(18, 75)(19, 76)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 77)(26, 82)(27, 84)(28, 81)(29, 85)(30, 86)(31, 67)(32, 68)(33, 69)(34, 73)(35, 87)(36, 92)(37, 94)(38, 91)(39, 95)(40, 93)(41, 78)(42, 79)(43, 80)(44, 83)(45, 96)(46, 88)(47, 89)(48, 90)
	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, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 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 E22.938
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 5
	degree seq :: [ 96 ]

E22.953 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^6, T1^7 * T2^-2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 38, 86, 22, 70, 36, 84, 26, 74, 42, 90, 44, 92, 32, 80, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 39, 87, 23, 71, 11, 59, 21, 69, 35, 83, 46, 94, 48, 96, 43, 91, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 40, 88, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 34, 82, 45, 93, 47, 95, 37, 85, 28, 76, 14, 62, 27, 75, 41, 89, 25, 73, 13, 61, 5, 53)
	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, 83)(27, 90)(28, 84)(29, 89)(30, 85)(31, 88)(32, 91)(33, 87)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 72)(40, 73)(41, 92)(42, 94)(43, 95)(44, 96)(45, 81)(46, 82)(47, 86)(48, 93)
	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, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 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 E22.936
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 5
	degree seq :: [ 96 ]

E22.954 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1 * T2^-3, T1^3 * T2 * T1^2 * T2 * T1^6, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 16, 64, 6, 54, 15, 63, 26, 74, 33, 81, 23, 71, 32, 80, 42, 90, 47, 95, 39, 87, 45, 93, 36, 84, 43, 91, 38, 86, 29, 77, 20, 68, 27, 75, 22, 70, 12, 60, 4, 52, 10, 58, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 25, 73, 14, 62, 24, 72, 34, 82, 41, 89, 31, 79, 40, 88, 44, 92, 48, 96, 46, 94, 37, 85, 28, 76, 35, 83, 30, 78, 21, 69, 11, 59, 19, 67, 13, 61, 5, 53)
	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, 71)(15, 72)(16, 73)(17, 74)(18, 57)(19, 58)(20, 59)(21, 60)(22, 61)(23, 79)(24, 80)(25, 81)(26, 82)(27, 67)(28, 68)(29, 69)(30, 70)(31, 87)(32, 88)(33, 89)(34, 90)(35, 75)(36, 76)(37, 77)(38, 78)(39, 94)(40, 93)(41, 95)(42, 92)(43, 83)(44, 84)(45, 85)(46, 86)(47, 96)(48, 91)
	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, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 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 E22.935
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 5
	degree seq :: [ 96 ]

E22.955 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1), (F * T1)^2, (F * T2)^2, T2^-3 * T1^3, T2^-1 * T1^-15, T2^16, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 14, 62, 23, 71, 30, 78, 34, 82, 41, 89, 48, 96, 44, 92, 37, 85, 33, 81, 26, 74, 19, 67, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 22, 70, 29, 77, 36, 84, 40, 88, 47, 95, 45, 93, 38, 86, 31, 79, 27, 75, 20, 68, 11, 59, 18, 66, 8, 56)(4, 52, 10, 58, 16, 64, 6, 54, 15, 63, 24, 72, 28, 76, 35, 83, 42, 90, 46, 94, 43, 91, 39, 87, 32, 80, 25, 73, 21, 69, 12, 60)
	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, 70)(15, 71)(16, 57)(17, 72)(18, 58)(19, 59)(20, 60)(21, 61)(22, 76)(23, 77)(24, 78)(25, 67)(26, 68)(27, 69)(28, 82)(29, 83)(30, 84)(31, 73)(32, 74)(33, 75)(34, 88)(35, 89)(36, 90)(37, 79)(38, 80)(39, 81)(40, 94)(41, 95)(42, 96)(43, 85)(44, 86)(45, 87)(46, 92)(47, 91)(48, 93)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.941
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.956 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, T1^-3 * T2^-1, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^16 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 15, 63, 21, 69, 27, 75, 33, 81, 39, 87, 45, 93, 41, 89, 35, 83, 29, 77, 23, 71, 17, 65, 11, 59, 5, 53)(2, 50, 7, 55, 13, 61, 19, 67, 25, 73, 31, 79, 37, 85, 43, 91, 48, 96, 44, 92, 38, 86, 32, 80, 26, 74, 20, 68, 14, 62, 8, 56)(4, 52, 10, 58, 16, 64, 22, 70, 28, 76, 34, 82, 40, 88, 46, 94, 47, 95, 42, 90, 36, 84, 30, 78, 24, 72, 18, 66, 12, 60, 6, 54)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 53)(7, 52)(8, 60)(9, 61)(10, 51)(11, 62)(12, 59)(13, 58)(14, 66)(15, 67)(16, 57)(17, 68)(18, 65)(19, 64)(20, 72)(21, 73)(22, 63)(23, 74)(24, 71)(25, 70)(26, 78)(27, 79)(28, 69)(29, 80)(30, 77)(31, 76)(32, 84)(33, 85)(34, 75)(35, 86)(36, 83)(37, 82)(38, 90)(39, 91)(40, 81)(41, 92)(42, 89)(43, 88)(44, 95)(45, 96)(46, 87)(47, 93)(48, 94)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.939
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.957 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^2 * T1^6, T2^7 * T1^-3, T1^2 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 40, 88, 28, 76, 14, 62, 27, 75, 22, 70, 36, 84, 45, 93, 38, 86, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 43, 91, 47, 95, 39, 87, 26, 74, 23, 71, 11, 59, 21, 69, 35, 83, 44, 92, 32, 80, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 34, 82, 42, 90, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 41, 89, 48, 96, 46, 94, 37, 85, 24, 72, 12, 60)
	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, 72)(27, 71)(28, 87)(29, 70)(30, 88)(31, 89)(32, 90)(33, 91)(34, 67)(35, 68)(36, 69)(37, 73)(38, 92)(39, 85)(40, 95)(41, 84)(42, 81)(43, 96)(44, 82)(45, 83)(46, 86)(47, 94)(48, 93)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.942
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.958 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {16, 24, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2^-1 * T1^-1 * T2^-4, T2^3 * T1^-1 * T2^2 * T1^4, T1^-1 * T2 * T1^-8, T2^2 * T1^-1 * T2 * T1^-2 * T2^3 * T1^-3, (T1 * T2^-1 * T1^-2 * T2^2)^6 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 22, 70, 36, 84, 45, 93, 48, 96, 41, 89, 28, 76, 14, 62, 27, 75, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 23, 71, 11, 59, 21, 69, 35, 83, 44, 92, 47, 95, 40, 88, 26, 74, 39, 87, 32, 80, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 34, 82, 43, 91, 37, 85, 38, 86, 46, 94, 42, 90, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 24, 72, 12, 60)
	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, 86)(27, 87)(28, 88)(29, 73)(30, 89)(31, 72)(32, 90)(33, 71)(34, 67)(35, 68)(36, 69)(37, 70)(38, 84)(39, 94)(40, 85)(41, 95)(42, 96)(43, 81)(44, 82)(45, 83)(46, 93)(47, 91)(48, 92)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.940
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 48 f = 3
	degree seq :: [ 32^3 ]

E22.959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2 * Y3^-2 * Y2^-1 * Y1^-2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-3, Y1^3 * Y2 * Y1 * Y2^2 * Y3^-2, Y2 * Y1 * Y2^2 * Y1 * Y3^-4, Y2 * Y3 * Y2 * Y3^2 * Y2^4 * Y1^-1, Y1^16, 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 40, 88, 25, 73, 32, 80, 44, 92, 34, 82, 19, 67, 31, 79, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 43, 91, 33, 81, 45, 93, 47, 95, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 42, 90, 48, 96, 41, 89, 46, 94, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 38, 86, 23, 71, 12, 60)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 138, 186, 122, 170, 135, 183, 119, 167, 107, 155, 117, 165, 131, 179, 140, 188, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 133, 181, 143, 191, 137, 185, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 141, 189, 144, 192, 136, 184, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 139, 187, 124, 172, 110, 158, 123, 171, 134, 182, 118, 166, 132, 180, 142, 190, 128, 176, 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, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 139)(34, 140)(35, 142)(36, 143)(37, 127)(38, 125)(39, 123)(40, 122)(41, 144)(42, 124)(43, 126)(44, 128)(45, 129)(46, 137)(47, 141)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.971
Graph:: bipartite
	v = 5 e = 96 f = 49
	degree seq :: [ 32^3, 48^2 ]

E22.960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y1 * Y2^-2 * Y1 * Y3^2 * Y2^2, Y3^3 * Y2 * Y1^3 * Y2^-1, Y2^3 * Y3^6, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y3^-3 * Y2^-1, Y1^5 * Y2^-3 * Y3^-1, Y3^4 * Y2^-6, Y2^-2 * Y3 * Y2^-4 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 14, 62, 26, 74, 34, 82, 19, 67, 31, 79, 44, 92, 40, 88, 25, 73, 32, 80, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 42, 90, 48, 96, 33, 81, 45, 93, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 43, 91, 41, 89, 46, 94, 47, 95, 38, 86, 23, 71, 12, 60)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 143, 191, 133, 181, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 140, 188, 135, 183, 119, 167, 107, 155, 117, 165, 131, 179, 122, 170, 138, 186, 137, 185, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 141, 189, 134, 182, 118, 166, 132, 180, 124, 172, 110, 158, 123, 171, 139, 187, 136, 184, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 144, 192, 142, 190, 128, 176, 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, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 144)(34, 122)(35, 124)(36, 126)(37, 128)(38, 143)(39, 141)(40, 140)(41, 139)(42, 123)(43, 125)(44, 127)(45, 129)(46, 137)(47, 142)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.974
Graph:: bipartite
	v = 5 e = 96 f = 49
	degree seq :: [ 32^3, 48^2 ]

E22.961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^2, (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y3^-2 * Y2^3, Y3^16, Y3^16, Y1^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 20, 68, 26, 74, 32, 80, 38, 86, 44, 92, 43, 91, 37, 85, 31, 79, 25, 73, 19, 67, 11, 59, 4, 52)(3, 51, 7, 55, 13, 61, 16, 64, 22, 70, 28, 76, 34, 82, 40, 88, 46, 94, 48, 96, 42, 90, 36, 84, 30, 78, 24, 72, 18, 66, 10, 58)(5, 53, 8, 56, 15, 63, 21, 69, 27, 75, 33, 81, 39, 87, 45, 93, 47, 95, 41, 89, 35, 83, 29, 77, 23, 71, 17, 65, 9, 57, 12, 60)(97, 145, 99, 147, 105, 153, 107, 155, 114, 162, 119, 167, 121, 169, 126, 174, 131, 179, 133, 181, 138, 186, 143, 191, 140, 188, 142, 190, 135, 183, 128, 176, 130, 178, 123, 171, 116, 164, 118, 166, 111, 159, 102, 150, 109, 157, 101, 149)(98, 146, 103, 151, 108, 156, 100, 148, 106, 154, 113, 161, 115, 163, 120, 168, 125, 173, 127, 175, 132, 180, 137, 185, 139, 187, 144, 192, 141, 189, 134, 182, 136, 184, 129, 177, 122, 170, 124, 172, 117, 165, 110, 158, 112, 160, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 113)(10, 114)(11, 115)(12, 105)(13, 103)(14, 102)(15, 104)(16, 109)(17, 119)(18, 120)(19, 121)(20, 110)(21, 111)(22, 112)(23, 125)(24, 126)(25, 127)(26, 116)(27, 117)(28, 118)(29, 131)(30, 132)(31, 133)(32, 122)(33, 123)(34, 124)(35, 137)(36, 138)(37, 139)(38, 128)(39, 129)(40, 130)(41, 143)(42, 144)(43, 140)(44, 134)(45, 135)(46, 136)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.972
Graph:: bipartite
	v = 5 e = 96 f = 49
	degree seq :: [ 32^3, 48^2 ]

E22.962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-2 * Y1 * Y3^-1 * Y2^-1, (Y1 * Y3^-1)^8, Y1^16, Y1^7 * Y2 * Y1 * Y2^2 * Y3^-6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 14, 62, 20, 68, 26, 74, 32, 80, 38, 86, 44, 92, 41, 89, 35, 83, 29, 77, 23, 71, 17, 65, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 21, 69, 27, 75, 33, 81, 39, 87, 45, 93, 48, 96, 43, 91, 37, 85, 31, 79, 25, 73, 19, 67, 13, 61, 10, 58)(5, 53, 8, 56, 9, 57, 16, 64, 22, 70, 28, 76, 34, 82, 40, 88, 46, 94, 47, 95, 42, 90, 36, 84, 30, 78, 24, 72, 18, 66, 12, 60)(97, 145, 99, 147, 105, 153, 102, 150, 111, 159, 118, 166, 116, 164, 123, 171, 130, 178, 128, 176, 135, 183, 142, 190, 140, 188, 144, 192, 138, 186, 131, 179, 133, 181, 126, 174, 119, 167, 121, 169, 114, 162, 107, 155, 109, 157, 101, 149)(98, 146, 103, 151, 112, 160, 110, 158, 117, 165, 124, 172, 122, 170, 129, 177, 136, 184, 134, 182, 141, 189, 143, 191, 137, 185, 139, 187, 132, 180, 125, 173, 127, 175, 120, 168, 113, 161, 115, 163, 108, 156, 100, 148, 106, 154, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 104)(10, 109)(11, 113)(12, 114)(13, 115)(14, 102)(15, 103)(16, 105)(17, 119)(18, 120)(19, 121)(20, 110)(21, 111)(22, 112)(23, 125)(24, 126)(25, 127)(26, 116)(27, 117)(28, 118)(29, 131)(30, 132)(31, 133)(32, 122)(33, 123)(34, 124)(35, 137)(36, 138)(37, 139)(38, 128)(39, 129)(40, 130)(41, 140)(42, 143)(43, 144)(44, 134)(45, 135)(46, 136)(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) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.973
Graph:: bipartite
	v = 5 e = 96 f = 49
	degree seq :: [ 32^3, 48^2 ]

E22.963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, Y1^-1 * Y2^2, R * Y2 * R * Y3, (R * Y1)^2, Y1^24, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 10, 58, 14, 62, 18, 66, 22, 70, 26, 74, 30, 78, 34, 82, 38, 86, 42, 90, 46, 94, 44, 92, 40, 88, 36, 84, 32, 80, 28, 76, 24, 72, 20, 68, 16, 64, 12, 60, 8, 56, 4, 52)(3, 51, 7, 55, 11, 59, 15, 63, 19, 67, 23, 71, 27, 75, 31, 79, 35, 83, 39, 87, 43, 91, 47, 95, 48, 96, 45, 93, 41, 89, 37, 85, 33, 81, 29, 77, 25, 73, 21, 69, 17, 65, 13, 61, 9, 57, 5, 53)(97, 145, 99, 147, 98, 146, 103, 151, 102, 150, 107, 155, 106, 154, 111, 159, 110, 158, 115, 163, 114, 162, 119, 167, 118, 166, 123, 171, 122, 170, 127, 175, 126, 174, 131, 179, 130, 178, 135, 183, 134, 182, 139, 187, 138, 186, 143, 191, 142, 190, 144, 192, 140, 188, 141, 189, 136, 184, 137, 185, 132, 180, 133, 181, 128, 176, 129, 177, 124, 172, 125, 173, 120, 168, 121, 169, 116, 164, 117, 165, 112, 160, 113, 161, 108, 156, 109, 157, 104, 152, 105, 153, 100, 148, 101, 149)
	L = (1, 99)(2, 103)(3, 98)(4, 101)(5, 97)(6, 107)(7, 102)(8, 105)(9, 100)(10, 111)(11, 106)(12, 109)(13, 104)(14, 115)(15, 110)(16, 113)(17, 108)(18, 119)(19, 114)(20, 117)(21, 112)(22, 123)(23, 118)(24, 121)(25, 116)(26, 127)(27, 122)(28, 125)(29, 120)(30, 131)(31, 126)(32, 129)(33, 124)(34, 135)(35, 130)(36, 133)(37, 128)(38, 139)(39, 134)(40, 137)(41, 132)(42, 143)(43, 138)(44, 141)(45, 136)(46, 144)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.968
Graph:: bipartite
	v = 3 e = 96 f = 51
	degree seq :: [ 48^2, 96 ]

E22.964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^3 * Y2 * Y1 * Y2 * Y1, Y2^-1 * Y1^2 * Y2^2 * Y1^-2 * Y2^-1, Y2 * Y1 * Y2^9, Y2^3 * Y1^-1 * Y2^5 * Y1^-3, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 24, 72, 13, 61, 18, 66, 27, 75, 36, 84, 44, 92, 35, 83, 39, 87, 47, 95, 41, 89, 30, 78, 38, 86, 43, 91, 32, 80, 20, 68, 9, 57, 17, 65, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 26, 74, 34, 82, 25, 73, 29, 77, 37, 85, 46, 94, 40, 88, 45, 93, 48, 96, 42, 90, 31, 79, 19, 67, 28, 76, 33, 81, 21, 69, 10, 58)(97, 145, 99, 147, 105, 153, 115, 163, 126, 174, 136, 184, 140, 188, 130, 178, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 127, 175, 137, 185, 142, 190, 132, 180, 122, 170, 110, 158, 119, 167, 107, 155, 117, 165, 128, 176, 138, 186, 143, 191, 133, 181, 123, 171, 112, 160, 102, 150, 111, 159, 118, 166, 129, 177, 139, 187, 144, 192, 135, 183, 125, 173, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 124, 172, 134, 182, 141, 189, 131, 179, 121, 169, 109, 157, 101, 149)
	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, 119)(15, 118)(16, 102)(17, 124)(18, 104)(19, 126)(20, 127)(21, 128)(22, 129)(23, 107)(24, 108)(25, 109)(26, 110)(27, 112)(28, 134)(29, 114)(30, 136)(31, 137)(32, 138)(33, 139)(34, 120)(35, 121)(36, 122)(37, 123)(38, 141)(39, 125)(40, 140)(41, 142)(42, 143)(43, 144)(44, 130)(45, 131)(46, 132)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.969
Graph:: bipartite
	v = 3 e = 96 f = 51
	degree seq :: [ 48^2, 96 ]

E22.965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^6 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^4 * Y1 * Y2 * Y1, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 41, 89, 44, 92, 48, 96, 45, 93, 33, 81, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 42, 90, 46, 94, 34, 82, 19, 67, 31, 79, 40, 88, 25, 73, 32, 80, 43, 91, 47, 95, 38, 86, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 36, 84, 21, 69, 10, 58)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 134, 182, 118, 166, 132, 180, 122, 170, 138, 186, 140, 188, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 135, 183, 119, 167, 107, 155, 117, 165, 131, 179, 142, 190, 144, 192, 139, 187, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 136, 184, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 141, 189, 143, 191, 133, 181, 124, 172, 110, 158, 123, 171, 137, 185, 121, 169, 109, 157, 101, 149)
	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, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 138)(27, 137)(28, 110)(29, 136)(30, 112)(31, 135)(32, 114)(33, 134)(34, 141)(35, 142)(36, 122)(37, 124)(38, 118)(39, 119)(40, 120)(41, 121)(42, 140)(43, 126)(44, 128)(45, 143)(46, 144)(47, 133)(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, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.967
Graph:: bipartite
	v = 3 e = 96 f = 51
	degree seq :: [ 48^2, 96 ]

E22.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2^-3 * Y1, Y1^5 * Y2 * Y1 * Y2 * Y1^5, (Y3^-1 * Y1^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 23, 71, 31, 79, 39, 87, 46, 94, 38, 86, 30, 78, 22, 70, 13, 61, 18, 66, 9, 57, 17, 65, 26, 74, 34, 82, 42, 90, 44, 92, 36, 84, 28, 76, 20, 68, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 32, 80, 40, 88, 45, 93, 37, 85, 29, 77, 21, 69, 12, 60, 5, 53, 8, 56, 16, 64, 25, 73, 33, 81, 41, 89, 47, 95, 48, 96, 43, 91, 35, 83, 27, 75, 19, 67, 10, 58)(97, 145, 99, 147, 105, 153, 112, 160, 102, 150, 111, 159, 122, 170, 129, 177, 119, 167, 128, 176, 138, 186, 143, 191, 135, 183, 141, 189, 132, 180, 139, 187, 134, 182, 125, 173, 116, 164, 123, 171, 118, 166, 108, 156, 100, 148, 106, 154, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 121, 169, 110, 158, 120, 168, 130, 178, 137, 185, 127, 175, 136, 184, 140, 188, 144, 192, 142, 190, 133, 181, 124, 172, 131, 179, 126, 174, 117, 165, 107, 155, 115, 163, 109, 157, 101, 149)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 112)(10, 114)(11, 115)(12, 100)(13, 101)(14, 120)(15, 122)(16, 102)(17, 121)(18, 104)(19, 109)(20, 123)(21, 107)(22, 108)(23, 128)(24, 130)(25, 110)(26, 129)(27, 118)(28, 131)(29, 116)(30, 117)(31, 136)(32, 138)(33, 119)(34, 137)(35, 126)(36, 139)(37, 124)(38, 125)(39, 141)(40, 140)(41, 127)(42, 143)(43, 134)(44, 144)(45, 132)(46, 133)(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) :: { ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ), ( 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32, 2, 32 ) }
Outer automorphisms :: reflexible
Dual of E22.970
Graph:: bipartite
	v = 3 e = 96 f = 51
	degree seq :: [ 48^2, 96 ]

E22.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-3 * Y2^-3, Y2^-6 * Y3^-6, Y2^-1 * Y3^15, Y2^16, 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^-1 * Y1^-1)^48 ]
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, 118, 166, 124, 172, 130, 178, 136, 184, 142, 190, 140, 188, 133, 181, 129, 177, 122, 170, 115, 163, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 109, 157, 114, 162, 120, 168, 126, 174, 132, 180, 138, 186, 144, 192, 139, 187, 135, 183, 128, 176, 121, 169, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 119, 167, 125, 173, 131, 179, 137, 185, 143, 191, 141, 189, 134, 182, 127, 175, 123, 171, 116, 164, 105, 153, 113, 161, 108, 156)
	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, 109)(15, 108)(16, 102)(17, 107)(18, 104)(19, 121)(20, 122)(21, 123)(22, 114)(23, 110)(24, 112)(25, 127)(26, 128)(27, 129)(28, 120)(29, 118)(30, 119)(31, 133)(32, 134)(33, 135)(34, 126)(35, 124)(36, 125)(37, 139)(38, 140)(39, 141)(40, 132)(41, 130)(42, 131)(43, 143)(44, 144)(45, 142)(46, 138)(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) :: { ( 48, 96 ), ( 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.965
Graph:: simple bipartite
	v = 51 e = 96 f = 3
	degree seq :: [ 2^48, 32^3 ]

E22.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2^16, (Y3^-1 * Y1^-1)^48 ]
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, 108, 156, 114, 162, 120, 168, 126, 174, 132, 180, 138, 186, 136, 184, 130, 178, 124, 172, 118, 166, 112, 160, 106, 154, 100, 148)(99, 147, 103, 151, 109, 157, 115, 163, 121, 169, 127, 175, 133, 181, 139, 187, 143, 191, 141, 189, 135, 183, 129, 177, 123, 171, 117, 165, 111, 159, 105, 153)(101, 149, 104, 152, 110, 158, 116, 164, 122, 170, 128, 176, 134, 182, 140, 188, 144, 192, 142, 190, 137, 185, 131, 179, 125, 173, 119, 167, 113, 161, 107, 155)
	L = (1, 99)(2, 103)(3, 104)(4, 105)(5, 97)(6, 109)(7, 110)(8, 98)(9, 101)(10, 111)(11, 100)(12, 115)(13, 116)(14, 102)(15, 107)(16, 117)(17, 106)(18, 121)(19, 122)(20, 108)(21, 113)(22, 123)(23, 112)(24, 127)(25, 128)(26, 114)(27, 119)(28, 129)(29, 118)(30, 133)(31, 134)(32, 120)(33, 125)(34, 135)(35, 124)(36, 139)(37, 140)(38, 126)(39, 131)(40, 141)(41, 130)(42, 143)(43, 144)(44, 132)(45, 137)(46, 136)(47, 142)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 96 ), ( 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.963
Graph:: simple bipartite
	v = 51 e = 96 f = 3
	degree seq :: [ 2^48, 32^3 ]

E22.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y3^2 * Y2^-1 * Y3 * Y2^-4, Y3 * Y2 * Y3^8, Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^4, (Y3^-1 * Y1^-1)^48 ]
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, 115, 163, 127, 175, 136, 184, 143, 191, 141, 189, 132, 180, 121, 169, 128, 176, 118, 166, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 123, 171, 134, 182, 129, 177, 137, 185, 144, 192, 140, 188, 131, 179, 120, 168, 109, 157, 114, 162, 126, 174, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 124, 172, 116, 164, 105, 153, 113, 161, 125, 173, 135, 183, 142, 190, 139, 187, 133, 181, 138, 186, 130, 178, 119, 167, 108, 156)
	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, 129)(20, 122)(21, 124)(22, 126)(23, 107)(24, 108)(25, 109)(26, 134)(27, 135)(28, 110)(29, 136)(30, 112)(31, 137)(32, 114)(33, 139)(34, 118)(35, 119)(36, 120)(37, 121)(38, 142)(39, 143)(40, 144)(41, 133)(42, 128)(43, 132)(44, 130)(45, 131)(46, 141)(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) :: { ( 48, 96 ), ( 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.964
Graph:: simple bipartite
	v = 51 e = 96 f = 3
	degree seq :: [ 2^48, 32^3 ]

E22.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y2^-1, Y3), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2), (R * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^-5, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-4, Y3^-3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 * Y3^-2, (Y3^-1 * Y1^-1)^48 ]
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, 135, 183, 134, 182, 121, 169, 128, 176, 115, 163, 127, 175, 140, 188, 131, 179, 118, 166, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 123, 171, 136, 184, 133, 181, 120, 168, 109, 157, 114, 162, 126, 174, 139, 187, 144, 192, 142, 190, 130, 178, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 124, 172, 137, 185, 143, 191, 141, 189, 129, 177, 116, 164, 105, 153, 113, 161, 125, 173, 138, 186, 132, 180, 119, 167, 108, 156)
	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, 136)(27, 138)(28, 110)(29, 140)(30, 112)(31, 139)(32, 114)(33, 121)(34, 141)(35, 142)(36, 118)(37, 119)(38, 120)(39, 133)(40, 132)(41, 122)(42, 131)(43, 124)(44, 144)(45, 134)(46, 143)(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) :: { ( 48, 96 ), ( 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96, 48, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.966
Graph:: simple bipartite
	v = 51 e = 96 f = 3
	degree seq :: [ 2^48, 32^3 ]

E22.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, Y1^2 * Y3^-1 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y1^-6 * Y3^-1 * Y1^-9, (Y3 * Y2^-1)^16, 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 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 22, 70, 28, 76, 34, 82, 40, 88, 46, 94, 44, 92, 38, 86, 32, 80, 26, 74, 20, 68, 12, 60, 5, 53, 8, 56, 16, 64, 9, 57, 17, 65, 24, 72, 30, 78, 36, 84, 42, 90, 48, 96, 45, 93, 39, 87, 33, 81, 27, 75, 21, 69, 13, 61, 18, 66, 10, 58, 3, 51, 7, 55, 15, 63, 23, 71, 29, 77, 35, 83, 41, 89, 47, 95, 43, 91, 37, 85, 31, 79, 25, 73, 19, 67, 11, 59, 4, 52)(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, 110)(10, 112)(11, 114)(12, 100)(13, 101)(14, 119)(15, 120)(16, 102)(17, 118)(18, 104)(19, 109)(20, 107)(21, 108)(22, 125)(23, 126)(24, 124)(25, 117)(26, 115)(27, 116)(28, 131)(29, 132)(30, 130)(31, 123)(32, 121)(33, 122)(34, 137)(35, 138)(36, 136)(37, 129)(38, 127)(39, 128)(40, 143)(41, 144)(42, 142)(43, 135)(44, 133)(45, 134)(46, 139)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.959
Graph:: bipartite
	v = 49 e = 96 f = 5
	degree seq :: [ 2^48, 96 ]

E22.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-3 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^16, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 5, 53, 8, 56, 12, 60, 11, 59, 14, 62, 18, 66, 17, 65, 20, 68, 24, 72, 23, 71, 26, 74, 30, 78, 29, 77, 32, 80, 36, 84, 35, 83, 38, 86, 42, 90, 41, 89, 44, 92, 47, 95, 45, 93, 48, 96, 46, 94, 39, 87, 43, 91, 40, 88, 33, 81, 37, 85, 34, 82, 27, 75, 31, 79, 28, 76, 21, 69, 25, 73, 22, 70, 15, 63, 19, 67, 16, 64, 9, 57, 13, 61, 10, 58, 3, 51, 7, 55, 4, 52)(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, 100)(7, 109)(8, 98)(9, 111)(10, 112)(11, 101)(12, 102)(13, 115)(14, 104)(15, 117)(16, 118)(17, 107)(18, 108)(19, 121)(20, 110)(21, 123)(22, 124)(23, 113)(24, 114)(25, 127)(26, 116)(27, 129)(28, 130)(29, 119)(30, 120)(31, 133)(32, 122)(33, 135)(34, 136)(35, 125)(36, 126)(37, 139)(38, 128)(39, 141)(40, 142)(41, 131)(42, 132)(43, 144)(44, 134)(45, 137)(46, 143)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.961
Graph:: bipartite
	v = 49 e = 96 f = 5
	degree seq :: [ 2^48, 96 ]

E22.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-4, Y3^3 * Y1^-1 * Y3^2 * Y1^4, Y1^-3 * Y3 * Y1^-6, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3^3 * Y1^-3, (Y3 * Y2^-1)^16, (Y1 * Y3^-1 * Y1^-2 * Y3^2)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 38, 86, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 39, 87, 46, 94, 45, 93, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 25, 73, 32, 80, 42, 90, 48, 96, 44, 92, 34, 82, 19, 67, 31, 79, 24, 72, 13, 61, 18, 66, 30, 78, 41, 89, 47, 95, 43, 91, 33, 81, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 40, 88, 37, 85, 22, 70, 11, 59, 4, 52)(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, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 135)(27, 121)(28, 110)(29, 120)(30, 112)(31, 119)(32, 114)(33, 118)(34, 139)(35, 140)(36, 141)(37, 134)(38, 142)(39, 128)(40, 122)(41, 124)(42, 126)(43, 133)(44, 143)(45, 144)(46, 138)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.962
Graph:: bipartite
	v = 49 e = 96 f = 5
	degree seq :: [ 2^48, 96 ]

E22.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-6 * Y3^-1, Y3^3 * Y1^-1 * Y3^4 * Y1^-2, Y3^-2 * Y1^4 * Y3^-2 * Y1^-1 * Y3^-3, Y1^2 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^16 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 13, 61, 18, 66, 30, 78, 40, 88, 47, 95, 46, 94, 38, 86, 44, 92, 34, 82, 19, 67, 31, 79, 41, 89, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 39, 87, 37, 85, 25, 73, 32, 80, 42, 90, 33, 81, 43, 91, 48, 96, 45, 93, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 22, 70, 11, 59, 4, 52)(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, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 119)(27, 118)(28, 110)(29, 137)(30, 112)(31, 139)(32, 114)(33, 136)(34, 138)(35, 140)(36, 141)(37, 120)(38, 121)(39, 122)(40, 124)(41, 144)(42, 126)(43, 143)(44, 128)(45, 134)(46, 133)(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) :: { ( 32, 48 ), ( 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48, 32, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.960
Graph:: bipartite
	v = 49 e = 96 f = 5
	degree seq :: [ 2^48, 96 ]

E22.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y2)^2, Y1^-1 * Y2 * Y3 * Y2^2 * Y1^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3^6 * Y2^-1 * Y1^-3 * Y2^-1 * Y1^-4 * Y2^-1, Y1^16, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 22, 70, 28, 76, 34, 82, 40, 88, 46, 94, 43, 91, 37, 85, 31, 79, 25, 73, 19, 67, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 23, 71, 29, 77, 35, 83, 41, 89, 47, 95, 45, 93, 39, 87, 33, 81, 27, 75, 21, 69, 13, 61, 18, 66, 10, 58)(5, 53, 8, 56, 16, 64, 9, 57, 17, 65, 24, 72, 30, 78, 36, 84, 42, 90, 48, 96, 44, 92, 38, 86, 32, 80, 26, 74, 20, 68, 12, 60)(97, 145, 99, 147, 105, 153, 110, 158, 119, 167, 126, 174, 130, 178, 137, 185, 144, 192, 139, 187, 135, 183, 128, 176, 121, 169, 117, 165, 108, 156, 100, 148, 106, 154, 112, 160, 102, 150, 111, 159, 120, 168, 124, 172, 131, 179, 138, 186, 142, 190, 141, 189, 134, 182, 127, 175, 123, 171, 116, 164, 107, 155, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 118, 166, 125, 173, 132, 180, 136, 184, 143, 191, 140, 188, 133, 181, 129, 177, 122, 170, 115, 163, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 112)(10, 114)(11, 115)(12, 116)(13, 117)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 121)(20, 122)(21, 123)(22, 110)(23, 111)(24, 113)(25, 127)(26, 128)(27, 129)(28, 118)(29, 119)(30, 120)(31, 133)(32, 134)(33, 135)(34, 124)(35, 125)(36, 126)(37, 139)(38, 140)(39, 141)(40, 130)(41, 131)(42, 132)(43, 142)(44, 144)(45, 143)(46, 136)(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) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 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 E22.981
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 32^3, 96 ]

E22.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y1^16, 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, 12, 60, 18, 66, 24, 72, 30, 78, 36, 84, 42, 90, 41, 89, 35, 83, 29, 77, 23, 71, 17, 65, 11, 59, 4, 52)(3, 51, 7, 55, 13, 61, 19, 67, 25, 73, 31, 79, 37, 85, 43, 91, 47, 95, 46, 94, 40, 88, 34, 82, 28, 76, 22, 70, 16, 64, 10, 58)(5, 53, 8, 56, 14, 62, 20, 68, 26, 74, 32, 80, 38, 86, 44, 92, 48, 96, 45, 93, 39, 87, 33, 81, 27, 75, 21, 69, 15, 63, 9, 57)(97, 145, 99, 147, 105, 153, 100, 148, 106, 154, 111, 159, 107, 155, 112, 160, 117, 165, 113, 161, 118, 166, 123, 171, 119, 167, 124, 172, 129, 177, 125, 173, 130, 178, 135, 183, 131, 179, 136, 184, 141, 189, 137, 185, 142, 190, 144, 192, 138, 186, 143, 191, 140, 188, 132, 180, 139, 187, 134, 182, 126, 174, 133, 181, 128, 176, 120, 168, 127, 175, 122, 170, 114, 162, 121, 169, 116, 164, 108, 156, 115, 163, 110, 158, 102, 150, 109, 157, 104, 152, 98, 146, 103, 151, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 105)(6, 98)(7, 99)(8, 101)(9, 111)(10, 112)(11, 113)(12, 102)(13, 103)(14, 104)(15, 117)(16, 118)(17, 119)(18, 108)(19, 109)(20, 110)(21, 123)(22, 124)(23, 125)(24, 114)(25, 115)(26, 116)(27, 129)(28, 130)(29, 131)(30, 120)(31, 121)(32, 122)(33, 135)(34, 136)(35, 137)(36, 126)(37, 127)(38, 128)(39, 141)(40, 142)(41, 138)(42, 132)(43, 133)(44, 134)(45, 144)(46, 143)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 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 E22.979
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 32^3, 96 ]

E22.977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-4, Y3^2 * Y2 * Y3 * Y2^2 * Y1^-4, Y1^16, Y2 * 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 * Y3^2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 39, 87, 34, 82, 19, 67, 31, 79, 25, 73, 32, 80, 44, 92, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 40, 88, 47, 95, 45, 93, 33, 81, 24, 72, 13, 61, 18, 66, 30, 78, 43, 91, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 41, 89, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 42, 90, 48, 96, 46, 94, 38, 86, 23, 71, 12, 60)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 119, 167, 107, 155, 117, 165, 131, 179, 135, 183, 143, 191, 142, 190, 133, 181, 139, 187, 124, 172, 110, 158, 123, 171, 138, 186, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 141, 189, 134, 182, 118, 166, 132, 180, 137, 185, 122, 170, 136, 184, 144, 192, 140, 188, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 129)(25, 127)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 141)(34, 135)(35, 137)(36, 139)(37, 140)(38, 142)(39, 122)(40, 123)(41, 124)(42, 125)(43, 126)(44, 128)(45, 143)(46, 144)(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, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 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 E22.982
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 32^3, 96 ]

E22.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y3^-2 * Y2 * Y1^-2, Y3^3 * Y2^-1 * Y3 * Y2^-2 * Y1^-1, Y2^2 * Y1 * Y2 * Y1^4, Y2^-1 * Y1 * Y2^-8, Y2^2 * Y3 * Y2 * Y3 * Y2^2 * Y1^-1 * Y3^2 * Y2 * Y1^-1, Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1^2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 25, 73, 32, 80, 40, 88, 47, 95, 44, 92, 34, 82, 19, 67, 31, 79, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 24, 72, 13, 61, 18, 66, 30, 78, 39, 87, 46, 94, 43, 91, 33, 81, 41, 89, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 38, 86, 37, 85, 42, 90, 48, 96, 45, 93, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 23, 71, 12, 60)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 138, 186, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 137, 185, 144, 192, 136, 184, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 118, 166, 132, 180, 141, 189, 143, 191, 135, 183, 124, 172, 110, 158, 123, 171, 119, 167, 107, 155, 117, 165, 131, 179, 140, 188, 142, 190, 134, 182, 122, 170, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 139, 187, 133, 181, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 127)(23, 125)(24, 123)(25, 122)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 139)(34, 140)(35, 141)(36, 137)(37, 134)(38, 124)(39, 126)(40, 128)(41, 129)(42, 133)(43, 142)(44, 143)(45, 144)(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, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 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 E22.980
Graph:: bipartite
	v = 4 e = 96 f = 50
	degree seq :: [ 32^3, 96 ]

E22.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-1 * Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^24, (Y3^-1 * Y1^-1)^16, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 10, 58, 14, 62, 18, 66, 22, 70, 26, 74, 30, 78, 34, 82, 38, 86, 42, 90, 46, 94, 44, 92, 40, 88, 36, 84, 32, 80, 28, 76, 24, 72, 20, 68, 16, 64, 12, 60, 8, 56, 4, 52)(3, 51, 7, 55, 11, 59, 15, 63, 19, 67, 23, 71, 27, 75, 31, 79, 35, 83, 39, 87, 43, 91, 47, 95, 48, 96, 45, 93, 41, 89, 37, 85, 33, 81, 29, 77, 25, 73, 21, 69, 17, 65, 13, 61, 9, 57, 5, 53)(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, 98)(4, 101)(5, 97)(6, 107)(7, 102)(8, 105)(9, 100)(10, 111)(11, 106)(12, 109)(13, 104)(14, 115)(15, 110)(16, 113)(17, 108)(18, 119)(19, 114)(20, 117)(21, 112)(22, 123)(23, 118)(24, 121)(25, 116)(26, 127)(27, 122)(28, 125)(29, 120)(30, 131)(31, 126)(32, 129)(33, 124)(34, 135)(35, 130)(36, 133)(37, 128)(38, 139)(39, 134)(40, 137)(41, 132)(42, 143)(43, 138)(44, 141)(45, 136)(46, 144)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.976
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^3 * Y3 * Y1 * Y3 * Y1, Y3^-8 * Y1^-1 * Y3^-2, Y3^4 * Y1^-1 * Y3^4 * Y1^-3, (Y3^-1 * Y1^-1 * Y3^-1)^6, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 24, 72, 13, 61, 18, 66, 27, 75, 36, 84, 44, 92, 35, 83, 39, 87, 47, 95, 41, 89, 30, 78, 38, 86, 43, 91, 32, 80, 20, 68, 9, 57, 17, 65, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 26, 74, 34, 82, 25, 73, 29, 77, 37, 85, 46, 94, 40, 88, 45, 93, 48, 96, 42, 90, 31, 79, 19, 67, 28, 76, 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, 119)(15, 118)(16, 102)(17, 124)(18, 104)(19, 126)(20, 127)(21, 128)(22, 129)(23, 107)(24, 108)(25, 109)(26, 110)(27, 112)(28, 134)(29, 114)(30, 136)(31, 137)(32, 138)(33, 139)(34, 120)(35, 121)(36, 122)(37, 123)(38, 141)(39, 125)(40, 140)(41, 142)(42, 143)(43, 144)(44, 130)(45, 131)(46, 132)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.978
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^7 * Y3^-2, Y3 * Y1 * Y3^2 * Y1 * Y3^3 * Y1, Y1^-1 * Y3 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^2 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 41, 89, 44, 92, 48, 96, 45, 93, 33, 81, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 42, 90, 46, 94, 34, 82, 19, 67, 31, 79, 40, 88, 25, 73, 32, 80, 43, 91, 47, 95, 38, 86, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 36, 84, 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, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 138)(27, 137)(28, 110)(29, 136)(30, 112)(31, 135)(32, 114)(33, 134)(34, 141)(35, 142)(36, 122)(37, 124)(38, 118)(39, 119)(40, 120)(41, 121)(42, 140)(43, 126)(44, 128)(45, 143)(46, 144)(47, 133)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.975
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {16, 24, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-3 * Y1, (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y1^2 * Y3 * Y1^5, (Y1^-1 * Y3^-1)^16, (Y3 * Y2^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 23, 71, 31, 79, 39, 87, 46, 94, 38, 86, 30, 78, 22, 70, 13, 61, 18, 66, 9, 57, 17, 65, 26, 74, 34, 82, 42, 90, 44, 92, 36, 84, 28, 76, 20, 68, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 24, 72, 32, 80, 40, 88, 45, 93, 37, 85, 29, 77, 21, 69, 12, 60, 5, 53, 8, 56, 16, 64, 25, 73, 33, 81, 41, 89, 47, 95, 48, 96, 43, 91, 35, 83, 27, 75, 19, 67, 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, 112)(10, 114)(11, 115)(12, 100)(13, 101)(14, 120)(15, 122)(16, 102)(17, 121)(18, 104)(19, 109)(20, 123)(21, 107)(22, 108)(23, 128)(24, 130)(25, 110)(26, 129)(27, 118)(28, 131)(29, 116)(30, 117)(31, 136)(32, 138)(33, 119)(34, 137)(35, 126)(36, 139)(37, 124)(38, 125)(39, 141)(40, 140)(41, 127)(42, 143)(43, 134)(44, 144)(45, 132)(46, 133)(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) :: { ( 32, 96 ), ( 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96, 32, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.977
Graph:: simple bipartite
	v = 50 e = 96 f = 4
	degree seq :: [ 2^48, 48^2 ]

E22.983 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^12, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 25, 24, 14, 23, 33, 32, 22, 31, 41, 40, 30, 39, 47, 46, 38, 45, 48, 43, 35, 42, 44, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(49, 50, 54, 62, 70, 78, 86, 83, 75, 67, 59, 52)(51, 55, 63, 71, 79, 87, 93, 90, 82, 74, 66, 58)(53, 56, 64, 72, 80, 88, 94, 91, 84, 76, 68, 60)(57, 65, 73, 81, 89, 95, 96, 92, 85, 77, 69, 61)
	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) :: { ( 96^12 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E22.987
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 1
	degree seq :: [ 12^4, 48 ]

E22.984 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^3 * T1^4, T2^-1 * T1 * T2^-7 * T1, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 30, 16, 6, 15, 29, 38, 22, 36, 47, 42, 26, 40, 24, 12, 4, 10, 20, 34, 45, 32, 18, 8, 2, 7, 17, 31, 37, 48, 43, 28, 14, 27, 39, 23, 11, 21, 35, 46, 41, 25, 13, 5)(49, 50, 54, 62, 74, 89, 93, 81, 85, 70, 59, 52)(51, 55, 63, 75, 88, 73, 80, 92, 96, 84, 69, 58)(53, 56, 64, 76, 90, 94, 82, 67, 79, 86, 71, 60)(57, 65, 77, 87, 72, 61, 66, 78, 91, 95, 83, 68)
	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) :: { ( 96^12 ), ( 96^48 ) }
Outer automorphisms :: reflexible
Dual of E22.986
Transitivity :: ET+
Graph:: bipartite
	v = 5 e = 48 f = 1
	degree seq :: [ 12^4, 48 ]

E22.985 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {12, 48, 48})
Quotient :: edge
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2 * T1^2 * T2^-1 * T1^-2, T2^-1 * T1^-5, T2^-2 * T1^-1 * T2^-8 * T1^-1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 44, 34, 24, 14, 11, 21, 31, 41, 48, 38, 28, 18, 8, 2, 7, 17, 27, 37, 47, 42, 32, 22, 12, 4, 10, 20, 30, 40, 46, 36, 26, 16, 6, 15, 25, 35, 45, 43, 33, 23, 13, 5)(49, 50, 54, 62, 60, 53, 56, 64, 72, 70, 61, 66, 74, 82, 80, 71, 76, 84, 92, 90, 81, 86, 94, 87, 95, 91, 96, 88, 77, 85, 93, 89, 78, 67, 75, 83, 79, 68, 57, 65, 73, 69, 58, 51, 55, 63, 59, 52)
	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) :: { ( 24^48 ) }
Outer automorphisms :: reflexible
Dual of E22.988
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 48 f = 4
	degree seq :: [ 48^2 ]

E22.986 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^4 * T1^-1, T1^12, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 8, 56, 2, 50, 7, 55, 17, 65, 16, 64, 6, 54, 15, 63, 25, 73, 24, 72, 14, 62, 23, 71, 33, 81, 32, 80, 22, 70, 31, 79, 41, 89, 40, 88, 30, 78, 39, 87, 47, 95, 46, 94, 38, 86, 45, 93, 48, 96, 43, 91, 35, 83, 42, 90, 44, 92, 36, 84, 27, 75, 34, 82, 37, 85, 28, 76, 19, 67, 26, 74, 29, 77, 20, 68, 11, 59, 18, 66, 21, 69, 12, 60, 4, 52, 10, 58, 13, 61, 5, 53)
	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, 70)(15, 71)(16, 72)(17, 73)(18, 58)(19, 59)(20, 60)(21, 61)(22, 78)(23, 79)(24, 80)(25, 81)(26, 66)(27, 67)(28, 68)(29, 69)(30, 86)(31, 87)(32, 88)(33, 89)(34, 74)(35, 75)(36, 76)(37, 77)(38, 83)(39, 93)(40, 94)(41, 95)(42, 82)(43, 84)(44, 85)(45, 90)(46, 91)(47, 96)(48, 92)
	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, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 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 E22.984
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 5
	degree seq :: [ 96 ]

E22.987 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^3 * T1^4, T2^-1 * T1 * T2^-7 * T1, T1^2 * T2^-1 * T1 * T2^-1 * T1^3 * T2^-2 * T1, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 33, 81, 44, 92, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 38, 86, 22, 70, 36, 84, 47, 95, 42, 90, 26, 74, 40, 88, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 34, 82, 45, 93, 32, 80, 18, 66, 8, 56, 2, 50, 7, 55, 17, 65, 31, 79, 37, 85, 48, 96, 43, 91, 28, 76, 14, 62, 27, 75, 39, 87, 23, 71, 11, 59, 21, 69, 35, 83, 46, 94, 41, 89, 25, 73, 13, 61, 5, 53)
	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, 89)(27, 88)(28, 90)(29, 87)(30, 91)(31, 86)(32, 92)(33, 85)(34, 67)(35, 68)(36, 69)(37, 70)(38, 71)(39, 72)(40, 73)(41, 93)(42, 94)(43, 95)(44, 96)(45, 81)(46, 82)(47, 83)(48, 84)
	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, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 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 E22.983
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 48 f = 5
	degree seq :: [ 96 ]

E22.988 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {12, 48, 48})
Quotient :: loop
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^4, T2^12, (T1^-1 * T2^-1)^48 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 37, 85, 29, 77, 21, 69, 13, 61, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 46, 94, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)(4, 52, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 47, 95, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60)(6, 54, 14, 62, 22, 70, 30, 78, 38, 86, 45, 93, 48, 96, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 58)(7, 62)(8, 59)(9, 63)(10, 51)(11, 52)(12, 53)(13, 64)(14, 66)(15, 70)(16, 67)(17, 71)(18, 57)(19, 60)(20, 61)(21, 72)(22, 74)(23, 78)(24, 75)(25, 79)(26, 65)(27, 68)(28, 69)(29, 80)(30, 82)(31, 86)(32, 83)(33, 87)(34, 73)(35, 76)(36, 77)(37, 88)(38, 90)(39, 93)(40, 91)(41, 94)(42, 81)(43, 84)(44, 85)(45, 95)(46, 96)(47, 89)(48, 92)
	local type(s) :: { ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.985
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 2
	degree seq :: [ 24^4 ]

E22.989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, Y2^4 * Y3, Y1^12, 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 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 22, 70, 30, 78, 38, 86, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 45, 93, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58)(5, 53, 8, 56, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 43, 91, 36, 84, 28, 76, 20, 68, 12, 60)(9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 47, 95, 48, 96, 44, 92, 37, 85, 29, 77, 21, 69, 13, 61)(97, 145, 99, 147, 105, 153, 104, 152, 98, 146, 103, 151, 113, 161, 112, 160, 102, 150, 111, 159, 121, 169, 120, 168, 110, 158, 119, 167, 129, 177, 128, 176, 118, 166, 127, 175, 137, 185, 136, 184, 126, 174, 135, 183, 143, 191, 142, 190, 134, 182, 141, 189, 144, 192, 139, 187, 131, 179, 138, 186, 140, 188, 132, 180, 123, 171, 130, 178, 133, 181, 124, 172, 115, 163, 122, 170, 125, 173, 116, 164, 107, 155, 114, 162, 117, 165, 108, 156, 100, 148, 106, 154, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 109)(10, 114)(11, 115)(12, 116)(13, 117)(14, 102)(15, 103)(16, 104)(17, 105)(18, 122)(19, 123)(20, 124)(21, 125)(22, 110)(23, 111)(24, 112)(25, 113)(26, 130)(27, 131)(28, 132)(29, 133)(30, 118)(31, 119)(32, 120)(33, 121)(34, 138)(35, 134)(36, 139)(37, 140)(38, 126)(39, 127)(40, 128)(41, 129)(42, 141)(43, 142)(44, 144)(45, 135)(46, 136)(47, 137)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.994
Graph:: bipartite
	v = 5 e = 96 f = 49
	degree seq :: [ 24^4, 96 ]

E22.990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y2^-1, (R * Y2)^2, Y1 * Y3 * Y2^-2 * Y3 * Y2^2 * Y3^-1, Y2^3 * Y1 * Y2^-3 * Y3, Y2 * Y3^-2 * Y2^2 * Y3^-1 * Y2 * Y3^-2, Y2 * Y3^-1 * Y2^3 * Y3^-4, Y3 * Y2^7 * Y1^-1 * Y2, Y2^-4 * Y3^-1 * Y2^4 * Y1^-1, Y1^4 * Y2^-2 * Y3^-2 * Y2^-1 * Y1 * Y2^-1, Y1^12, (Y2^-1 * Y1^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 41, 89, 45, 93, 33, 81, 37, 85, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 40, 88, 25, 73, 32, 80, 44, 92, 48, 96, 36, 84, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 42, 90, 46, 94, 34, 82, 19, 67, 31, 79, 38, 86, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 43, 91, 47, 95, 35, 83, 20, 68)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 140, 188, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 134, 182, 118, 166, 132, 180, 143, 191, 138, 186, 122, 170, 136, 184, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 130, 178, 141, 189, 128, 176, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 127, 175, 133, 181, 144, 192, 139, 187, 124, 172, 110, 158, 123, 171, 135, 183, 119, 167, 107, 155, 117, 165, 131, 179, 142, 190, 137, 185, 121, 169, 109, 157, 101, 149)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 118)(12, 119)(13, 120)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 130)(20, 131)(21, 132)(22, 133)(23, 134)(24, 135)(25, 136)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 121)(33, 141)(34, 142)(35, 143)(36, 144)(37, 129)(38, 127)(39, 125)(40, 123)(41, 122)(42, 124)(43, 126)(44, 128)(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) :: { ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ), ( 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96, 2, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.993
Graph:: bipartite
	v = 5 e = 96 f = 49
	degree seq :: [ 24^4, 96 ]

E22.991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), Y1^-1 * Y2^-2 * Y1 * Y2^2, Y2^-3 * Y1^-1 * Y2^-2, Y1^-2 * Y2^-2 * Y1^-8, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 24, 72, 34, 82, 44, 92, 39, 87, 29, 77, 19, 67, 13, 61, 18, 66, 28, 76, 38, 86, 48, 96, 41, 89, 31, 79, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 25, 73, 35, 83, 45, 93, 43, 91, 33, 81, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 26, 74, 36, 84, 46, 94, 40, 88, 30, 78, 20, 68, 9, 57, 17, 65, 27, 75, 37, 85, 47, 95, 42, 90, 32, 80, 22, 70, 11, 59, 4, 52)(97, 145, 99, 147, 105, 153, 115, 163, 108, 156, 100, 148, 106, 154, 116, 164, 125, 173, 119, 167, 107, 155, 117, 165, 126, 174, 135, 183, 129, 177, 118, 166, 127, 175, 136, 184, 140, 188, 139, 187, 128, 176, 137, 185, 142, 190, 130, 178, 141, 189, 138, 186, 144, 192, 132, 180, 120, 168, 131, 179, 143, 191, 134, 182, 122, 170, 110, 158, 121, 169, 133, 181, 124, 172, 112, 160, 102, 150, 111, 159, 123, 171, 114, 162, 104, 152, 98, 146, 103, 151, 113, 161, 109, 157, 101, 149)
	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, 109)(18, 104)(19, 108)(20, 125)(21, 126)(22, 127)(23, 107)(24, 131)(25, 133)(26, 110)(27, 114)(28, 112)(29, 119)(30, 135)(31, 136)(32, 137)(33, 118)(34, 141)(35, 143)(36, 120)(37, 124)(38, 122)(39, 129)(40, 140)(41, 142)(42, 144)(43, 128)(44, 139)(45, 138)(46, 130)(47, 134)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.992
Graph:: bipartite
	v = 2 e = 96 f = 52
	degree seq :: [ 96^2 ]

E22.992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^4 * Y2, Y2^12, (Y2^-1 * Y3)^48, (Y3^-1 * Y1^-1)^48 ]
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, 118, 166, 126, 174, 134, 182, 132, 180, 124, 172, 116, 164, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 141, 189, 139, 187, 131, 179, 123, 171, 115, 163, 106, 154)(101, 149, 104, 152, 112, 160, 120, 168, 128, 176, 136, 184, 142, 190, 140, 188, 133, 181, 125, 173, 117, 165, 108, 156)(105, 153, 109, 157, 113, 161, 121, 169, 129, 177, 137, 185, 143, 191, 144, 192, 138, 186, 130, 178, 122, 170, 114, 162)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 109)(8, 98)(9, 108)(10, 114)(11, 115)(12, 100)(13, 101)(14, 119)(15, 113)(16, 102)(17, 104)(18, 117)(19, 122)(20, 123)(21, 107)(22, 127)(23, 121)(24, 110)(25, 112)(26, 125)(27, 130)(28, 131)(29, 116)(30, 135)(31, 129)(32, 118)(33, 120)(34, 133)(35, 138)(36, 139)(37, 124)(38, 141)(39, 137)(40, 126)(41, 128)(42, 140)(43, 144)(44, 132)(45, 143)(46, 134)(47, 136)(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) :: { ( 96, 96 ), ( 96^24 ) }
Outer automorphisms :: reflexible
Dual of E22.991
Graph:: simple bipartite
	v = 52 e = 96 f = 2
	degree seq :: [ 2^48, 24^4 ]

E22.993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^4, (R * Y2 * Y3^-1)^2, Y3^12, (Y3 * Y2^-1)^12, (Y1^-1 * Y3^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 10, 58, 3, 51, 7, 55, 14, 62, 18, 66, 9, 57, 15, 63, 22, 70, 26, 74, 17, 65, 23, 71, 30, 78, 34, 82, 25, 73, 31, 79, 38, 86, 42, 90, 33, 81, 39, 87, 45, 93, 47, 95, 41, 89, 46, 94, 48, 96, 44, 92, 37, 85, 40, 88, 43, 91, 36, 84, 29, 77, 32, 80, 35, 83, 28, 76, 21, 69, 24, 72, 27, 75, 20, 68, 13, 61, 16, 64, 19, 67, 12, 60, 5, 53, 8, 56, 11, 59, 4, 52)(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, 111)(8, 98)(9, 113)(10, 114)(11, 102)(12, 100)(13, 101)(14, 118)(15, 119)(16, 104)(17, 121)(18, 122)(19, 107)(20, 108)(21, 109)(22, 126)(23, 127)(24, 112)(25, 129)(26, 130)(27, 115)(28, 116)(29, 117)(30, 134)(31, 135)(32, 120)(33, 137)(34, 138)(35, 123)(36, 124)(37, 125)(38, 141)(39, 142)(40, 128)(41, 133)(42, 143)(43, 131)(44, 132)(45, 144)(46, 136)(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) :: { ( 24, 96 ), ( 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.990
Graph:: bipartite
	v = 49 e = 96 f = 5
	degree seq :: [ 2^48, 96 ]

E22.994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {12, 48, 48})
Quotient :: dipole
Aut^+ = C48 (small group id <48, 2>)
Aut   = D96 (small group id <96, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^5, Y3^2 * Y1^-8, Y3 * Y1^-1 * Y3 * Y1^-7, Y3^-1 * Y1 * Y3^-2 * Y1^2 * Y3^-4 * Y1, Y1^16 * Y3^-4, (Y3 * Y2^-1)^12, (Y1^-1 * Y3^-1)^48 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 42, 90, 35, 83, 20, 68, 9, 57, 17, 65, 29, 77, 40, 88, 25, 73, 32, 80, 45, 93, 47, 95, 33, 81, 38, 86, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 28, 76, 43, 91, 36, 84, 21, 69, 10, 58, 3, 51, 7, 55, 15, 63, 27, 75, 41, 89, 46, 94, 48, 96, 34, 82, 19, 67, 31, 79, 39, 87, 24, 72, 13, 61, 18, 66, 30, 78, 44, 92, 37, 85, 22, 70, 11, 59, 4, 52)(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, 129)(20, 130)(21, 131)(22, 132)(23, 107)(24, 108)(25, 109)(26, 137)(27, 136)(28, 110)(29, 135)(30, 112)(31, 134)(32, 114)(33, 133)(34, 143)(35, 144)(36, 138)(37, 139)(38, 118)(39, 119)(40, 120)(41, 121)(42, 142)(43, 122)(44, 124)(45, 126)(46, 128)(47, 140)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 96 ), ( 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96, 24, 96 ) }
Outer automorphisms :: reflexible
Dual of E22.989
Graph:: bipartite
	v = 49 e = 96 f = 5
	degree seq :: [ 2^48, 96 ]

E22.995 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^5 * T1^4, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 37, 50, 45, 30, 16, 6, 15, 29, 39, 23, 11, 21, 35, 48, 43, 26, 41, 25, 13, 5)(2, 7, 17, 31, 38, 22, 36, 49, 44, 28, 14, 27, 40, 24, 12, 4, 10, 20, 34, 47, 42, 46, 32, 18, 8)(51, 52, 56, 64, 76, 92, 87, 72, 61, 54)(53, 57, 65, 77, 91, 96, 100, 86, 71, 60)(55, 58, 66, 78, 93, 97, 83, 88, 73, 62)(59, 67, 79, 90, 75, 82, 95, 99, 85, 70)(63, 68, 80, 94, 98, 84, 69, 81, 89, 74)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^10 ), ( 100^25 ) }
Outer automorphisms :: reflexible
Dual of E22.1013
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 50 f = 1
	degree seq :: [ 10^5, 25^2 ]

E22.996 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^5, T1^10, T1^-40 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 26, 43, 49, 39, 23, 11, 21, 35, 30, 16, 6, 15, 29, 45, 47, 37, 41, 25, 13, 5)(2, 7, 17, 31, 46, 42, 50, 40, 24, 12, 4, 10, 20, 34, 28, 14, 27, 44, 48, 38, 22, 36, 32, 18, 8)(51, 52, 56, 64, 76, 92, 87, 72, 61, 54)(53, 57, 65, 77, 93, 100, 91, 86, 71, 60)(55, 58, 66, 78, 83, 96, 97, 88, 73, 62)(59, 67, 79, 94, 99, 90, 75, 82, 85, 70)(63, 68, 80, 84, 69, 81, 95, 98, 89, 74)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^10 ), ( 100^25 ) }
Outer automorphisms :: reflexible
Dual of E22.1014
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 50 f = 1
	degree seq :: [ 10^5, 25^2 ]

E22.997 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2^5, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 40, 38, 26, 37, 47, 49, 42, 32, 41, 44, 34, 23, 11, 21, 25, 13, 5)(2, 7, 17, 30, 28, 14, 27, 39, 48, 46, 36, 45, 50, 43, 33, 22, 31, 35, 24, 12, 4, 10, 20, 18, 8)(51, 52, 56, 64, 76, 86, 82, 72, 61, 54)(53, 57, 65, 77, 87, 95, 91, 81, 71, 60)(55, 58, 66, 78, 88, 96, 92, 83, 73, 62)(59, 67, 79, 89, 97, 100, 94, 85, 75, 70)(63, 68, 69, 80, 90, 98, 99, 93, 84, 74)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^10 ), ( 100^25 ) }
Outer automorphisms :: reflexible
Dual of E22.1011
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 50 f = 1
	degree seq :: [ 10^5, 25^2 ]

E22.998 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^5, T1^10, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 41, 44, 34, 43, 50, 47, 38, 26, 37, 40, 29, 16, 6, 15, 25, 13, 5)(2, 7, 17, 24, 12, 4, 10, 20, 31, 35, 22, 33, 42, 49, 46, 36, 45, 48, 39, 28, 14, 27, 30, 18, 8)(51, 52, 56, 64, 76, 86, 84, 72, 61, 54)(53, 57, 65, 77, 87, 95, 93, 83, 71, 60)(55, 58, 66, 78, 88, 96, 94, 85, 73, 62)(59, 67, 75, 80, 90, 98, 100, 92, 82, 70)(63, 68, 79, 89, 97, 99, 91, 81, 69, 74)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 100^10 ), ( 100^25 ) }
Outer automorphisms :: reflexible
Dual of E22.1012
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 50 f = 1
	degree seq :: [ 10^5, 25^2 ]

E22.999 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^5 * T2^2 * T1^2, T1^2 * T2^-1 * T1 * T2^-5 * T1, T2^-3 * T1^2 * T2^3 * 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 * T1^4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 26, 38, 22, 36, 47, 32, 18, 8, 2, 7, 17, 31, 46, 49, 39, 23, 11, 21, 35, 45, 30, 16, 6, 15, 29, 44, 50, 40, 24, 12, 4, 10, 20, 34, 43, 28, 14, 27, 37, 48, 41, 25, 13, 5)(51, 52, 56, 64, 76, 89, 74, 63, 68, 80, 93, 83, 96, 100, 91, 97, 85, 70, 59, 67, 79, 87, 72, 61, 54)(53, 57, 65, 77, 88, 73, 62, 55, 58, 66, 78, 92, 99, 90, 75, 82, 95, 84, 69, 81, 94, 98, 86, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 20^25 ), ( 20^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1018
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 5
	degree seq :: [ 25^2, 50 ]

E22.1000 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^15, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 46, 48, 42, 36, 30, 24, 18, 12, 4, 10, 6, 14, 20, 26, 32, 38, 44, 50, 47, 41, 35, 29, 23, 17, 11, 8, 2, 7, 15, 21, 27, 33, 39, 45, 49, 43, 37, 31, 25, 19, 13, 5)(51, 52, 56, 59, 65, 70, 72, 77, 82, 84, 89, 94, 96, 99, 97, 92, 87, 85, 80, 75, 73, 68, 63, 61, 54)(53, 57, 64, 66, 71, 76, 78, 83, 88, 90, 95, 100, 98, 93, 91, 86, 81, 79, 74, 69, 67, 62, 55, 58, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 20^25 ), ( 20^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1017
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 5
	degree seq :: [ 25^2, 50 ]

E22.1001 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-4 * T1, T1 * T2 * T1^11 * T2, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 8, 2, 7, 17, 16, 6, 15, 25, 24, 14, 23, 33, 32, 22, 31, 41, 40, 30, 39, 49, 48, 38, 47, 43, 50, 46, 44, 35, 42, 45, 36, 27, 34, 37, 28, 19, 26, 29, 20, 11, 18, 21, 12, 4, 10, 13, 5)(51, 52, 56, 64, 72, 80, 88, 96, 95, 87, 79, 71, 63, 59, 67, 75, 83, 91, 99, 93, 85, 77, 69, 61, 54)(53, 57, 65, 73, 81, 89, 97, 94, 86, 78, 70, 62, 55, 58, 66, 74, 82, 90, 98, 100, 92, 84, 76, 68, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 20^25 ), ( 20^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1016
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 5
	degree seq :: [ 25^2, 50 ]

E22.1002 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^5, T2 * T1^-1 * T2 * T1^-7, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 44, 46, 36, 22, 34, 38, 47, 50, 45, 35, 40, 26, 39, 48, 49, 42, 28, 14, 27, 41, 43, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(51, 52, 56, 64, 76, 88, 83, 70, 59, 67, 79, 91, 98, 100, 96, 87, 74, 63, 68, 80, 92, 85, 72, 61, 54)(53, 57, 65, 77, 89, 97, 94, 82, 69, 75, 81, 93, 99, 95, 86, 73, 62, 55, 58, 66, 78, 90, 84, 71, 60)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 20^25 ), ( 20^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1015
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 50 f = 5
	degree seq :: [ 25^2, 50 ]

E22.1003 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5 * T2, T2^10, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 33, 23, 13, 5)(2, 7, 17, 27, 37, 46, 38, 28, 18, 8)(4, 10, 20, 30, 40, 47, 42, 32, 22, 12)(6, 15, 25, 35, 44, 50, 45, 36, 26, 16)(11, 14, 24, 34, 43, 49, 48, 41, 31, 21)(51, 52, 56, 64, 60, 53, 57, 65, 74, 70, 59, 67, 75, 84, 80, 69, 77, 85, 93, 90, 79, 87, 94, 99, 97, 89, 96, 100, 98, 92, 83, 88, 95, 91, 82, 73, 78, 86, 81, 72, 63, 68, 76, 71, 62, 55, 58, 66, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1008
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.1004 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^-5, T2^10, T2^4 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-2 * T2 * T1^-1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 39, 33, 23, 13, 5)(2, 7, 17, 27, 37, 46, 38, 28, 18, 8)(4, 10, 20, 30, 40, 47, 42, 32, 22, 12)(6, 15, 25, 35, 44, 50, 45, 36, 26, 16)(11, 21, 31, 41, 48, 49, 43, 34, 24, 14)(51, 52, 56, 64, 62, 55, 58, 66, 74, 72, 63, 68, 76, 84, 82, 73, 78, 86, 93, 92, 83, 88, 95, 99, 97, 89, 96, 100, 98, 90, 79, 87, 94, 91, 80, 69, 77, 85, 81, 70, 59, 67, 75, 71, 60, 53, 57, 65, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1007
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.1005 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-3 * T1^-5, T2^-10, T2^10, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 37, 25, 13, 5)(2, 7, 17, 31, 41, 50, 42, 32, 18, 8)(4, 10, 20, 34, 44, 47, 38, 26, 24, 12)(6, 15, 29, 22, 36, 46, 49, 40, 30, 16)(11, 21, 35, 45, 48, 39, 28, 14, 27, 23)(51, 52, 56, 64, 76, 75, 82, 90, 98, 94, 83, 91, 86, 71, 60, 53, 57, 65, 77, 74, 63, 68, 80, 89, 97, 93, 100, 96, 85, 70, 59, 67, 79, 73, 62, 55, 58, 66, 78, 88, 87, 92, 99, 95, 84, 69, 81, 72, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1010
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.1006 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 25, 50})
Quotient :: edge
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5 * T2^3, T2^10, T2^10, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-4 * T1^-2, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 43, 37, 25, 13, 5)(2, 7, 17, 31, 41, 50, 42, 32, 18, 8)(4, 10, 20, 26, 38, 47, 46, 36, 24, 12)(6, 15, 29, 40, 49, 44, 34, 22, 30, 16)(11, 21, 28, 14, 27, 39, 48, 45, 35, 23)(51, 52, 56, 64, 76, 69, 81, 90, 98, 96, 87, 92, 84, 73, 62, 55, 58, 66, 78, 70, 59, 67, 79, 89, 97, 93, 100, 94, 85, 74, 63, 68, 80, 71, 60, 53, 57, 65, 77, 88, 83, 91, 99, 95, 86, 75, 82, 72, 61, 54)
	L = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)
	local type(s) :: { ( 50^10 ), ( 50^50 ) }
Outer automorphisms :: reflexible
Dual of E22.1009
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 50 f = 2
	degree seq :: [ 10^5, 50 ]

E22.1007 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2^5 * T1^4, T1^10 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 37, 87, 50, 100, 45, 95, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 39, 89, 23, 73, 11, 61, 21, 71, 35, 85, 48, 98, 43, 93, 26, 76, 41, 91, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 38, 88, 22, 72, 36, 86, 49, 99, 44, 94, 28, 78, 14, 64, 27, 77, 40, 90, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 47, 97, 42, 92, 46, 96, 32, 82, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 92)(27, 91)(28, 93)(29, 90)(30, 94)(31, 89)(32, 95)(33, 88)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 74)(40, 75)(41, 96)(42, 87)(43, 97)(44, 98)(45, 99)(46, 100)(47, 83)(48, 84)(49, 85)(50, 86)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1004
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.1008 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^5, T1^10, T1^-40 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 26, 76, 43, 93, 49, 99, 39, 89, 23, 73, 11, 61, 21, 71, 35, 85, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 45, 95, 47, 97, 37, 87, 41, 91, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 46, 96, 42, 92, 50, 100, 40, 90, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 28, 78, 14, 64, 27, 77, 44, 94, 48, 98, 38, 88, 22, 72, 36, 86, 32, 82, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 92)(27, 93)(28, 83)(29, 94)(30, 84)(31, 95)(32, 85)(33, 96)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 74)(40, 75)(41, 86)(42, 87)(43, 100)(44, 99)(45, 98)(46, 97)(47, 88)(48, 89)(49, 90)(50, 91)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1003
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.1009 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-2 * T2^5, T1^10 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 16, 66, 6, 56, 15, 65, 29, 79, 40, 90, 38, 88, 26, 76, 37, 87, 47, 97, 49, 99, 42, 92, 32, 82, 41, 91, 44, 94, 34, 84, 23, 73, 11, 61, 21, 71, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 30, 80, 28, 78, 14, 64, 27, 77, 39, 89, 48, 98, 46, 96, 36, 86, 45, 95, 50, 100, 43, 93, 33, 83, 22, 72, 31, 81, 35, 85, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 69)(19, 80)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 70)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 82)(37, 95)(38, 96)(39, 97)(40, 98)(41, 81)(42, 83)(43, 84)(44, 85)(45, 91)(46, 92)(47, 100)(48, 99)(49, 93)(50, 94)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1006
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.1010 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^2 * T2^5, T1^10, T1^10 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 23, 73, 11, 61, 21, 71, 32, 82, 41, 91, 44, 94, 34, 84, 43, 93, 50, 100, 47, 97, 38, 88, 26, 76, 37, 87, 40, 90, 29, 79, 16, 66, 6, 56, 15, 65, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 31, 81, 35, 85, 22, 72, 33, 83, 42, 92, 49, 99, 46, 96, 36, 86, 45, 95, 48, 98, 39, 89, 28, 78, 14, 64, 27, 77, 30, 80, 18, 68, 8, 58)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 75)(18, 79)(19, 74)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 80)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 69)(32, 70)(33, 71)(34, 72)(35, 73)(36, 84)(37, 95)(38, 96)(39, 97)(40, 98)(41, 81)(42, 82)(43, 83)(44, 85)(45, 93)(46, 94)(47, 99)(48, 100)(49, 91)(50, 92)
	local type(s) :: { ( 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1005
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 50 f = 6
	degree seq :: [ 50^2 ]

E22.1011 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (T2^-1, T1^-1), (F * T1)^2, T1^5 * T2^2 * T1^2, T1^2 * T2^-1 * T1 * T2^-5 * T1, T2^-3 * T1^2 * T2^3 * 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 * T1^4 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 42, 92, 26, 76, 38, 88, 22, 72, 36, 86, 47, 97, 32, 82, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 31, 81, 46, 96, 49, 99, 39, 89, 23, 73, 11, 61, 21, 71, 35, 85, 45, 95, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 44, 94, 50, 100, 40, 90, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 34, 84, 43, 93, 28, 78, 14, 64, 27, 77, 37, 87, 48, 98, 41, 91, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 89)(27, 88)(28, 92)(29, 87)(30, 93)(31, 94)(32, 95)(33, 96)(34, 69)(35, 70)(36, 71)(37, 72)(38, 73)(39, 74)(40, 75)(41, 97)(42, 99)(43, 83)(44, 98)(45, 84)(46, 100)(47, 85)(48, 86)(49, 90)(50, 91)
	local type(s) :: { ( 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25 ) }
Outer automorphisms :: reflexible
Dual of E22.997
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 7
	degree seq :: [ 100 ]

E22.1012 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2^15, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 16, 66, 22, 72, 28, 78, 34, 84, 40, 90, 46, 96, 48, 98, 42, 92, 36, 86, 30, 80, 24, 74, 18, 68, 12, 62, 4, 54, 10, 60, 6, 56, 14, 64, 20, 70, 26, 76, 32, 82, 38, 88, 44, 94, 50, 100, 47, 97, 41, 91, 35, 85, 29, 79, 23, 73, 17, 67, 11, 61, 8, 58, 2, 52, 7, 57, 15, 65, 21, 71, 27, 77, 33, 83, 39, 89, 45, 95, 49, 99, 43, 93, 37, 87, 31, 81, 25, 75, 19, 69, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 59)(7, 64)(8, 60)(9, 65)(10, 53)(11, 54)(12, 55)(13, 61)(14, 66)(15, 70)(16, 71)(17, 62)(18, 63)(19, 67)(20, 72)(21, 76)(22, 77)(23, 68)(24, 69)(25, 73)(26, 78)(27, 82)(28, 83)(29, 74)(30, 75)(31, 79)(32, 84)(33, 88)(34, 89)(35, 80)(36, 81)(37, 85)(38, 90)(39, 94)(40, 95)(41, 86)(42, 87)(43, 91)(44, 96)(45, 100)(46, 99)(47, 92)(48, 93)(49, 97)(50, 98)
	local type(s) :: { ( 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25 ) }
Outer automorphisms :: reflexible
Dual of E22.998
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 7
	degree seq :: [ 100 ]

E22.1013 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-4 * T1, T1 * T2 * T1^11 * T2, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 8, 58, 2, 52, 7, 57, 17, 67, 16, 66, 6, 56, 15, 65, 25, 75, 24, 74, 14, 64, 23, 73, 33, 83, 32, 82, 22, 72, 31, 81, 41, 91, 40, 90, 30, 80, 39, 89, 49, 99, 48, 98, 38, 88, 47, 97, 43, 93, 50, 100, 46, 96, 44, 94, 35, 85, 42, 92, 45, 95, 36, 86, 27, 77, 34, 84, 37, 87, 28, 78, 19, 69, 26, 76, 29, 79, 20, 70, 11, 61, 18, 68, 21, 71, 12, 62, 4, 54, 10, 60, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 59)(14, 72)(15, 73)(16, 74)(17, 75)(18, 60)(19, 61)(20, 62)(21, 63)(22, 80)(23, 81)(24, 82)(25, 83)(26, 68)(27, 69)(28, 70)(29, 71)(30, 88)(31, 89)(32, 90)(33, 91)(34, 76)(35, 77)(36, 78)(37, 79)(38, 96)(39, 97)(40, 98)(41, 99)(42, 84)(43, 85)(44, 86)(45, 87)(46, 95)(47, 94)(48, 100)(49, 93)(50, 92)
	local type(s) :: { ( 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25 ) }
Outer automorphisms :: reflexible
Dual of E22.995
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 7
	degree seq :: [ 100 ]

E22.1014 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T2)^2, (F * T1)^2, T2 * T1 * T2^5, T2 * T1^-1 * T2 * T1^-7, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 24, 74, 12, 62, 4, 54, 10, 60, 20, 70, 32, 82, 37, 87, 23, 73, 11, 61, 21, 71, 33, 83, 44, 94, 46, 96, 36, 86, 22, 72, 34, 84, 38, 88, 47, 97, 50, 100, 45, 95, 35, 85, 40, 90, 26, 76, 39, 89, 48, 98, 49, 99, 42, 92, 28, 78, 14, 64, 27, 77, 41, 91, 43, 93, 30, 80, 16, 66, 6, 56, 15, 65, 29, 79, 31, 81, 18, 68, 8, 58, 2, 52, 7, 57, 17, 67, 25, 75, 13, 63, 5, 55)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 75)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 81)(26, 88)(27, 89)(28, 90)(29, 91)(30, 92)(31, 93)(32, 69)(33, 70)(34, 71)(35, 72)(36, 73)(37, 74)(38, 83)(39, 97)(40, 84)(41, 98)(42, 85)(43, 99)(44, 82)(45, 86)(46, 87)(47, 94)(48, 100)(49, 95)(50, 96)
	local type(s) :: { ( 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25, 10, 25 ) }
Outer automorphisms :: reflexible
Dual of E22.996
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 50 f = 7
	degree seq :: [ 100 ]

E22.1015 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5 * T2, T2^10, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 29, 79, 39, 89, 33, 83, 23, 73, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 27, 77, 37, 87, 46, 96, 38, 88, 28, 78, 18, 68, 8, 58)(4, 54, 10, 60, 20, 70, 30, 80, 40, 90, 47, 97, 42, 92, 32, 82, 22, 72, 12, 62)(6, 56, 15, 65, 25, 75, 35, 85, 44, 94, 50, 100, 45, 95, 36, 86, 26, 76, 16, 66)(11, 61, 14, 64, 24, 74, 34, 84, 43, 93, 49, 99, 48, 98, 41, 91, 31, 81, 21, 71)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 60)(15, 74)(16, 61)(17, 75)(18, 76)(19, 77)(20, 59)(21, 62)(22, 63)(23, 78)(24, 70)(25, 84)(26, 71)(27, 85)(28, 86)(29, 87)(30, 69)(31, 72)(32, 73)(33, 88)(34, 80)(35, 93)(36, 81)(37, 94)(38, 95)(39, 96)(40, 79)(41, 82)(42, 83)(43, 90)(44, 99)(45, 91)(46, 100)(47, 89)(48, 92)(49, 97)(50, 98)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1002
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 50 f = 3
	degree seq :: [ 20^5 ]

E22.1016 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-1 * T1^-5, T2^10, T2^4 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-2 * T2 * T1^-1, T1^-2 * T2^-2 * T1 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^3 * T2^-1 * T1^2 * T2^-4 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 29, 79, 39, 89, 33, 83, 23, 73, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 27, 77, 37, 87, 46, 96, 38, 88, 28, 78, 18, 68, 8, 58)(4, 54, 10, 60, 20, 70, 30, 80, 40, 90, 47, 97, 42, 92, 32, 82, 22, 72, 12, 62)(6, 56, 15, 65, 25, 75, 35, 85, 44, 94, 50, 100, 45, 95, 36, 86, 26, 76, 16, 66)(11, 61, 21, 71, 31, 81, 41, 91, 48, 98, 49, 99, 43, 93, 34, 84, 24, 74, 14, 64)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 62)(15, 61)(16, 74)(17, 75)(18, 76)(19, 77)(20, 59)(21, 60)(22, 63)(23, 78)(24, 72)(25, 71)(26, 84)(27, 85)(28, 86)(29, 87)(30, 69)(31, 70)(32, 73)(33, 88)(34, 82)(35, 81)(36, 93)(37, 94)(38, 95)(39, 96)(40, 79)(41, 80)(42, 83)(43, 92)(44, 91)(45, 99)(46, 100)(47, 89)(48, 90)(49, 97)(50, 98)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1001
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 50 f = 3
	degree seq :: [ 20^5 ]

E22.1017 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (T2, T1), (F * T2)^2, (F * T1)^2, T2^-3 * T1^-5, T2^-10, T2^10, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 43, 93, 37, 87, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 41, 91, 50, 100, 42, 92, 32, 82, 18, 68, 8, 58)(4, 54, 10, 60, 20, 70, 34, 84, 44, 94, 47, 97, 38, 88, 26, 76, 24, 74, 12, 62)(6, 56, 15, 65, 29, 79, 22, 72, 36, 86, 46, 96, 49, 99, 40, 90, 30, 80, 16, 66)(11, 61, 21, 71, 35, 85, 45, 95, 48, 98, 39, 89, 28, 78, 14, 64, 27, 77, 23, 73)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 75)(27, 74)(28, 88)(29, 73)(30, 89)(31, 72)(32, 90)(33, 91)(34, 69)(35, 70)(36, 71)(37, 92)(38, 87)(39, 97)(40, 98)(41, 86)(42, 99)(43, 100)(44, 83)(45, 84)(46, 85)(47, 93)(48, 94)(49, 95)(50, 96)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1000
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 50 f = 3
	degree seq :: [ 20^5 ]

E22.1018 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 25, 50})
Quotient :: loop
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-5 * T2^3, T2^10, T2^10, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-4 * T1^-2, (T1^-1 * T2^-1)^25 ]
Map:: non-degenerate
	R = (1, 51, 3, 53, 9, 59, 19, 69, 33, 83, 43, 93, 37, 87, 25, 75, 13, 63, 5, 55)(2, 52, 7, 57, 17, 67, 31, 81, 41, 91, 50, 100, 42, 92, 32, 82, 18, 68, 8, 58)(4, 54, 10, 60, 20, 70, 26, 76, 38, 88, 47, 97, 46, 96, 36, 86, 24, 74, 12, 62)(6, 56, 15, 65, 29, 79, 40, 90, 49, 99, 44, 94, 34, 84, 22, 72, 30, 80, 16, 66)(11, 61, 21, 71, 28, 78, 14, 64, 27, 77, 39, 89, 48, 98, 45, 95, 35, 85, 23, 73)
	L = (1, 52)(2, 56)(3, 57)(4, 51)(5, 58)(6, 64)(7, 65)(8, 66)(9, 67)(10, 53)(11, 54)(12, 55)(13, 68)(14, 76)(15, 77)(16, 78)(17, 79)(18, 80)(19, 81)(20, 59)(21, 60)(22, 61)(23, 62)(24, 63)(25, 82)(26, 69)(27, 88)(28, 70)(29, 89)(30, 71)(31, 90)(32, 72)(33, 91)(34, 73)(35, 74)(36, 75)(37, 92)(38, 83)(39, 97)(40, 98)(41, 99)(42, 84)(43, 100)(44, 85)(45, 86)(46, 87)(47, 93)(48, 96)(49, 95)(50, 94)
	local type(s) :: { ( 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50, 25, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.999
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 50 f = 3
	degree seq :: [ 20^5 ]

E22.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y3^-2 * Y2^-1, Y3^3 * Y2 * Y3 * Y2^4, Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y1^-9 * Y3, Y3^-2 * Y1^3 * Y3^-5, Y3^2 * 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 51, 2, 52, 6, 56, 14, 64, 26, 76, 42, 92, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 43, 93, 50, 100, 41, 91, 36, 86, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 28, 78, 33, 83, 46, 96, 47, 97, 38, 88, 23, 73, 12, 62)(9, 59, 17, 67, 29, 79, 44, 94, 49, 99, 40, 90, 25, 75, 32, 82, 35, 85, 20, 70)(13, 63, 18, 68, 30, 80, 34, 84, 19, 69, 31, 81, 45, 95, 48, 98, 39, 89, 24, 74)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 126, 176, 143, 193, 149, 199, 139, 189, 123, 173, 111, 161, 121, 171, 135, 185, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 145, 195, 147, 197, 137, 187, 141, 191, 125, 175, 113, 163, 105, 155)(102, 152, 107, 157, 117, 167, 131, 181, 146, 196, 142, 192, 150, 200, 140, 190, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 128, 178, 114, 164, 127, 177, 144, 194, 148, 198, 138, 188, 122, 172, 136, 186, 132, 182, 118, 168, 108, 158)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 135)(21, 136)(22, 137)(23, 138)(24, 139)(25, 140)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 128)(34, 130)(35, 132)(36, 141)(37, 142)(38, 147)(39, 148)(40, 149)(41, 150)(42, 126)(43, 127)(44, 129)(45, 131)(46, 133)(47, 146)(48, 145)(49, 144)(50, 143)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1031
Graph:: bipartite
	v = 7 e = 100 f = 51
	degree seq :: [ 20^5, 50^2 ]

E22.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, Y1 * Y2 * Y1 * Y2^4 * Y1 * Y3^-1, Y2^3 * Y1 * Y2^2 * Y1 * Y3^-2, Y1^10, Y1^4 * Y2^-1 * Y1 * Y3^-1 * Y2^-4, (Y1^-3 * Y3)^5, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 51, 2, 52, 6, 56, 14, 64, 26, 76, 42, 92, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 41, 91, 46, 96, 50, 100, 36, 86, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 28, 78, 43, 93, 47, 97, 33, 83, 38, 88, 23, 73, 12, 62)(9, 59, 17, 67, 29, 79, 40, 90, 25, 75, 32, 82, 45, 95, 49, 99, 35, 85, 20, 70)(13, 63, 18, 68, 30, 80, 44, 94, 48, 98, 34, 84, 19, 69, 31, 81, 39, 89, 24, 74)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 137, 187, 150, 200, 145, 195, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 139, 189, 123, 173, 111, 161, 121, 171, 135, 185, 148, 198, 143, 193, 126, 176, 141, 191, 125, 175, 113, 163, 105, 155)(102, 152, 107, 157, 117, 167, 131, 181, 138, 188, 122, 172, 136, 186, 149, 199, 144, 194, 128, 178, 114, 164, 127, 177, 140, 190, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 147, 197, 142, 192, 146, 196, 132, 182, 118, 168, 108, 158)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 135)(21, 136)(22, 137)(23, 138)(24, 139)(25, 140)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 147)(34, 148)(35, 149)(36, 150)(37, 142)(38, 133)(39, 131)(40, 129)(41, 127)(42, 126)(43, 128)(44, 130)(45, 132)(46, 141)(47, 143)(48, 144)(49, 145)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1032
Graph:: bipartite
	v = 7 e = 100 f = 51
	degree seq :: [ 20^5, 50^2 ]

E22.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^5 * Y1 * Y3^-1, Y2^2 * Y1 * Y2^3 * Y3^-1, Y1^10, (Y1^-1 * Y3)^5, 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 * Y1 * Y2 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 36, 86, 34, 84, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 37, 87, 45, 95, 43, 93, 33, 83, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 28, 78, 38, 88, 46, 96, 44, 94, 35, 85, 23, 73, 12, 62)(9, 59, 17, 67, 25, 75, 30, 80, 40, 90, 48, 98, 50, 100, 42, 92, 32, 82, 20, 70)(13, 63, 18, 68, 29, 79, 39, 89, 47, 97, 49, 99, 41, 91, 31, 81, 19, 69, 24, 74)(101, 151, 103, 153, 109, 159, 119, 169, 123, 173, 111, 161, 121, 171, 132, 182, 141, 191, 144, 194, 134, 184, 143, 193, 150, 200, 147, 197, 138, 188, 126, 176, 137, 187, 140, 190, 129, 179, 116, 166, 106, 156, 115, 165, 125, 175, 113, 163, 105, 155)(102, 152, 107, 157, 117, 167, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 131, 181, 135, 185, 122, 172, 133, 183, 142, 192, 149, 199, 146, 196, 136, 186, 145, 195, 148, 198, 139, 189, 128, 178, 114, 164, 127, 177, 130, 180, 118, 168, 108, 158)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 119)(25, 117)(26, 114)(27, 115)(28, 116)(29, 118)(30, 125)(31, 141)(32, 142)(33, 143)(34, 136)(35, 144)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 149)(42, 150)(43, 145)(44, 146)(45, 137)(46, 138)(47, 139)(48, 140)(49, 147)(50, 148)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1034
Graph:: bipartite
	v = 7 e = 100 f = 51
	degree seq :: [ 20^5, 50^2 ]

E22.1022 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y3^-1), (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^5 * Y3^2, Y3^10 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 36, 86, 32, 82, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 37, 87, 45, 95, 41, 91, 31, 81, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 28, 78, 38, 88, 46, 96, 42, 92, 33, 83, 23, 73, 12, 62)(9, 59, 17, 67, 29, 79, 39, 89, 47, 97, 50, 100, 44, 94, 35, 85, 25, 75, 20, 70)(13, 63, 18, 68, 19, 69, 30, 80, 40, 90, 48, 98, 49, 99, 43, 93, 34, 84, 24, 74)(101, 151, 103, 153, 109, 159, 119, 169, 116, 166, 106, 156, 115, 165, 129, 179, 140, 190, 138, 188, 126, 176, 137, 187, 147, 197, 149, 199, 142, 192, 132, 182, 141, 191, 144, 194, 134, 184, 123, 173, 111, 161, 121, 171, 125, 175, 113, 163, 105, 155)(102, 152, 107, 157, 117, 167, 130, 180, 128, 178, 114, 164, 127, 177, 139, 189, 148, 198, 146, 196, 136, 186, 145, 195, 150, 200, 143, 193, 133, 183, 122, 172, 131, 181, 135, 185, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 118, 168, 108, 158)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 118)(20, 125)(21, 131)(22, 132)(23, 133)(24, 134)(25, 135)(26, 114)(27, 115)(28, 116)(29, 117)(30, 119)(31, 141)(32, 136)(33, 142)(34, 143)(35, 144)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 145)(42, 146)(43, 149)(44, 150)(45, 137)(46, 138)(47, 139)(48, 140)(49, 148)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ), ( 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100, 2, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1033
Graph:: bipartite
	v = 7 e = 100 f = 51
	degree seq :: [ 20^5, 50^2 ]

E22.1023 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2, Y1), Y2^-4 * Y1, Y1 * Y2 * Y1^11 * Y2, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 22, 72, 30, 80, 38, 88, 46, 96, 45, 95, 37, 87, 29, 79, 21, 71, 13, 63, 9, 59, 17, 67, 25, 75, 33, 83, 41, 91, 49, 99, 43, 93, 35, 85, 27, 77, 19, 69, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 23, 73, 31, 81, 39, 89, 47, 97, 44, 94, 36, 86, 28, 78, 20, 70, 12, 62, 5, 55, 8, 58, 16, 66, 24, 74, 32, 82, 40, 90, 48, 98, 50, 100, 42, 92, 34, 84, 26, 76, 18, 68, 10, 60)(101, 151, 103, 153, 109, 159, 108, 158, 102, 152, 107, 157, 117, 167, 116, 166, 106, 156, 115, 165, 125, 175, 124, 174, 114, 164, 123, 173, 133, 183, 132, 182, 122, 172, 131, 181, 141, 191, 140, 190, 130, 180, 139, 189, 149, 199, 148, 198, 138, 188, 147, 197, 143, 193, 150, 200, 146, 196, 144, 194, 135, 185, 142, 192, 145, 195, 136, 186, 127, 177, 134, 184, 137, 187, 128, 178, 119, 169, 126, 176, 129, 179, 120, 170, 111, 161, 118, 168, 121, 171, 112, 162, 104, 154, 110, 160, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 108)(10, 113)(11, 118)(12, 104)(13, 105)(14, 123)(15, 125)(16, 106)(17, 116)(18, 121)(19, 126)(20, 111)(21, 112)(22, 131)(23, 133)(24, 114)(25, 124)(26, 129)(27, 134)(28, 119)(29, 120)(30, 139)(31, 141)(32, 122)(33, 132)(34, 137)(35, 142)(36, 127)(37, 128)(38, 147)(39, 149)(40, 130)(41, 140)(42, 145)(43, 150)(44, 135)(45, 136)(46, 144)(47, 143)(48, 138)(49, 148)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1027
Graph:: bipartite
	v = 3 e = 100 f = 55
	degree seq :: [ 50^2, 100 ]

E22.1024 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2^5, Y2 * Y1^-1 * Y2 * Y1^-7, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 38, 88, 33, 83, 20, 70, 9, 59, 17, 67, 29, 79, 41, 91, 48, 98, 50, 100, 46, 96, 37, 87, 24, 74, 13, 63, 18, 68, 30, 80, 42, 92, 35, 85, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 47, 97, 44, 94, 32, 82, 19, 69, 25, 75, 31, 81, 43, 93, 49, 99, 45, 95, 36, 86, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 40, 90, 34, 84, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 132, 182, 137, 187, 123, 173, 111, 161, 121, 171, 133, 183, 144, 194, 146, 196, 136, 186, 122, 172, 134, 184, 138, 188, 147, 197, 150, 200, 145, 195, 135, 185, 140, 190, 126, 176, 139, 189, 148, 198, 149, 199, 142, 192, 128, 178, 114, 164, 127, 177, 141, 191, 143, 193, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 131, 181, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 125, 175, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 125)(18, 108)(19, 124)(20, 132)(21, 133)(22, 134)(23, 111)(24, 112)(25, 113)(26, 139)(27, 141)(28, 114)(29, 131)(30, 116)(31, 118)(32, 137)(33, 144)(34, 138)(35, 140)(36, 122)(37, 123)(38, 147)(39, 148)(40, 126)(41, 143)(42, 128)(43, 130)(44, 146)(45, 135)(46, 136)(47, 150)(48, 149)(49, 142)(50, 145)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1028
Graph:: bipartite
	v = 3 e = 100 f = 55
	degree seq :: [ 50^2, 100 ]

E22.1025 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^2 * Y1^-3, Y1 * Y2^16, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 9, 59, 15, 65, 20, 70, 22, 72, 27, 77, 32, 82, 34, 84, 39, 89, 44, 94, 46, 96, 49, 99, 47, 97, 42, 92, 37, 87, 35, 85, 30, 80, 25, 75, 23, 73, 18, 68, 13, 63, 11, 61, 4, 54)(3, 53, 7, 57, 14, 64, 16, 66, 21, 71, 26, 76, 28, 78, 33, 83, 38, 88, 40, 90, 45, 95, 50, 100, 48, 98, 43, 93, 41, 91, 36, 86, 31, 81, 29, 79, 24, 74, 19, 69, 17, 67, 12, 62, 5, 55, 8, 58, 10, 60)(101, 151, 103, 153, 109, 159, 116, 166, 122, 172, 128, 178, 134, 184, 140, 190, 146, 196, 148, 198, 142, 192, 136, 186, 130, 180, 124, 174, 118, 168, 112, 162, 104, 154, 110, 160, 106, 156, 114, 164, 120, 170, 126, 176, 132, 182, 138, 188, 144, 194, 150, 200, 147, 197, 141, 191, 135, 185, 129, 179, 123, 173, 117, 167, 111, 161, 108, 158, 102, 152, 107, 157, 115, 165, 121, 171, 127, 177, 133, 183, 139, 189, 145, 195, 149, 199, 143, 193, 137, 187, 131, 181, 125, 175, 119, 169, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 114)(7, 115)(8, 102)(9, 116)(10, 106)(11, 108)(12, 104)(13, 105)(14, 120)(15, 121)(16, 122)(17, 111)(18, 112)(19, 113)(20, 126)(21, 127)(22, 128)(23, 117)(24, 118)(25, 119)(26, 132)(27, 133)(28, 134)(29, 123)(30, 124)(31, 125)(32, 138)(33, 139)(34, 140)(35, 129)(36, 130)(37, 131)(38, 144)(39, 145)(40, 146)(41, 135)(42, 136)(43, 137)(44, 150)(45, 149)(46, 148)(47, 141)(48, 142)(49, 143)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1029
Graph:: bipartite
	v = 3 e = 100 f = 55
	degree seq :: [ 50^2, 100 ]

E22.1026 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y1^5 * Y2^2 * Y1^2, Y1^2 * Y2^-1 * Y1 * Y2^-5 * Y1, Y2^-3 * Y1^2 * Y2^3 * Y1^-2, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 39, 89, 24, 74, 13, 63, 18, 68, 30, 80, 43, 93, 33, 83, 46, 96, 50, 100, 41, 91, 47, 97, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 42, 92, 49, 99, 40, 90, 25, 75, 32, 82, 45, 95, 34, 84, 19, 69, 31, 81, 44, 94, 48, 98, 36, 86, 21, 71, 10, 60)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 142, 192, 126, 176, 138, 188, 122, 172, 136, 186, 147, 197, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 146, 196, 149, 199, 139, 189, 123, 173, 111, 161, 121, 171, 135, 185, 145, 195, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 144, 194, 150, 200, 140, 190, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 143, 193, 128, 178, 114, 164, 127, 177, 137, 187, 148, 198, 141, 191, 125, 175, 113, 163, 105, 155)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 138)(27, 137)(28, 114)(29, 144)(30, 116)(31, 146)(32, 118)(33, 142)(34, 143)(35, 145)(36, 147)(37, 148)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 128)(44, 150)(45, 130)(46, 149)(47, 132)(48, 141)(49, 139)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1030
Graph:: bipartite
	v = 3 e = 100 f = 55
	degree seq :: [ 50^2, 100 ]

E22.1027 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3^5 * Y2^-1, Y2^10, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-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, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 124, 174, 134, 184, 131, 181, 121, 171, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 125, 175, 135, 185, 143, 193, 140, 190, 130, 180, 120, 170, 110, 160)(105, 155, 108, 158, 116, 166, 126, 176, 136, 186, 144, 194, 141, 191, 132, 182, 122, 172, 112, 162)(109, 159, 117, 167, 127, 177, 137, 187, 145, 195, 149, 199, 147, 197, 139, 189, 129, 179, 119, 169)(113, 163, 118, 168, 128, 178, 138, 188, 146, 196, 150, 200, 148, 198, 142, 192, 133, 183, 123, 173)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 118)(10, 119)(11, 120)(12, 104)(13, 105)(14, 125)(15, 127)(16, 106)(17, 128)(18, 108)(19, 113)(20, 129)(21, 130)(22, 111)(23, 112)(24, 135)(25, 137)(26, 114)(27, 138)(28, 116)(29, 123)(30, 139)(31, 140)(32, 121)(33, 122)(34, 143)(35, 145)(36, 124)(37, 146)(38, 126)(39, 133)(40, 147)(41, 131)(42, 132)(43, 149)(44, 134)(45, 150)(46, 136)(47, 142)(48, 141)(49, 148)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1023
Graph:: simple bipartite
	v = 55 e = 100 f = 3
	degree seq :: [ 2^50, 20^5 ]

E22.1028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^-5, Y2^10, 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 124, 174, 134, 184, 132, 182, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 125, 175, 135, 185, 143, 193, 141, 191, 131, 181, 121, 171, 110, 160)(105, 155, 108, 158, 116, 166, 126, 176, 136, 186, 144, 194, 142, 192, 133, 183, 123, 173, 112, 162)(109, 159, 117, 167, 127, 177, 137, 187, 145, 195, 149, 199, 148, 198, 140, 190, 130, 180, 120, 170)(113, 163, 118, 168, 128, 178, 138, 188, 146, 196, 150, 200, 147, 197, 139, 189, 129, 179, 119, 169)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 125)(15, 127)(16, 106)(17, 113)(18, 108)(19, 112)(20, 129)(21, 130)(22, 131)(23, 111)(24, 135)(25, 137)(26, 114)(27, 118)(28, 116)(29, 123)(30, 139)(31, 140)(32, 141)(33, 122)(34, 143)(35, 145)(36, 124)(37, 128)(38, 126)(39, 133)(40, 147)(41, 148)(42, 132)(43, 149)(44, 134)(45, 138)(46, 136)(47, 142)(48, 150)(49, 146)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1024
Graph:: simple bipartite
	v = 55 e = 100 f = 3
	degree seq :: [ 2^50, 20^5 ]

E22.1029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y3^-5 * Y2^3, Y2^10, Y2^10, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-3, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 138, 188, 134, 184, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 127, 177, 139, 189, 147, 197, 143, 193, 133, 183, 121, 171, 110, 160)(105, 155, 108, 158, 116, 166, 128, 178, 140, 190, 148, 198, 144, 194, 135, 185, 123, 173, 112, 162)(109, 159, 117, 167, 129, 179, 141, 191, 149, 199, 146, 196, 137, 187, 125, 175, 132, 182, 120, 170)(113, 163, 118, 168, 130, 180, 119, 169, 131, 181, 142, 192, 150, 200, 145, 195, 136, 186, 124, 174)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 128)(20, 130)(21, 132)(22, 133)(23, 111)(24, 112)(25, 113)(26, 139)(27, 141)(28, 114)(29, 142)(30, 116)(31, 140)(32, 118)(33, 125)(34, 143)(35, 122)(36, 123)(37, 124)(38, 147)(39, 149)(40, 126)(41, 150)(42, 148)(43, 137)(44, 134)(45, 135)(46, 136)(47, 146)(48, 138)(49, 145)(50, 144)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1025
Graph:: simple bipartite
	v = 55 e = 100 f = 3
	degree seq :: [ 2^50, 20^5 ]

E22.1030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^-3 * Y3^-5, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^-3 * Y2^2, Y2^-10, Y2^10, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, (Y3^-1 * Y1^-1)^50 ]
Map::
	R = (1, 51)(2, 52)(3, 53)(4, 54)(5, 55)(6, 56)(7, 57)(8, 58)(9, 59)(10, 60)(11, 61)(12, 62)(13, 63)(14, 64)(15, 65)(16, 66)(17, 67)(18, 68)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 74)(25, 75)(26, 76)(27, 77)(28, 78)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 84)(35, 85)(36, 86)(37, 87)(38, 88)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 94)(45, 95)(46, 96)(47, 97)(48, 98)(49, 99)(50, 100)(101, 151, 102, 152, 106, 156, 114, 164, 126, 176, 138, 188, 137, 187, 122, 172, 111, 161, 104, 154)(103, 153, 107, 157, 115, 165, 127, 177, 139, 189, 147, 197, 146, 196, 136, 186, 121, 171, 110, 160)(105, 155, 108, 158, 116, 166, 128, 178, 140, 190, 148, 198, 143, 193, 133, 183, 123, 173, 112, 162)(109, 159, 117, 167, 129, 179, 125, 175, 132, 182, 142, 192, 150, 200, 145, 195, 135, 185, 120, 170)(113, 163, 118, 168, 130, 180, 141, 191, 149, 199, 144, 194, 134, 184, 119, 169, 131, 181, 124, 174)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 139)(27, 125)(28, 114)(29, 124)(30, 116)(31, 123)(32, 118)(33, 122)(34, 143)(35, 144)(36, 145)(37, 146)(38, 147)(39, 132)(40, 126)(41, 128)(42, 130)(43, 137)(44, 148)(45, 149)(46, 150)(47, 142)(48, 138)(49, 140)(50, 141)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 50, 100 ), ( 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100, 50, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1026
Graph:: simple bipartite
	v = 55 e = 100 f = 3
	degree seq :: [ 2^50, 20^5 ]

E22.1031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-5 * Y3, (R * Y2 * Y3^-1)^2, Y3^10, (Y3 * Y2^-1)^10, (Y1^-1 * Y3^-1)^25 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 10, 60, 3, 53, 7, 57, 15, 65, 24, 74, 20, 70, 9, 59, 17, 67, 25, 75, 34, 84, 30, 80, 19, 69, 27, 77, 35, 85, 43, 93, 40, 90, 29, 79, 37, 87, 44, 94, 49, 99, 47, 97, 39, 89, 46, 96, 50, 100, 48, 98, 42, 92, 33, 83, 38, 88, 45, 95, 41, 91, 32, 82, 23, 73, 28, 78, 36, 86, 31, 81, 22, 72, 13, 63, 18, 68, 26, 76, 21, 71, 12, 62, 5, 55, 8, 58, 16, 66, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 114)(12, 104)(13, 105)(14, 124)(15, 125)(16, 106)(17, 127)(18, 108)(19, 129)(20, 130)(21, 111)(22, 112)(23, 113)(24, 134)(25, 135)(26, 116)(27, 137)(28, 118)(29, 139)(30, 140)(31, 121)(32, 122)(33, 123)(34, 143)(35, 144)(36, 126)(37, 146)(38, 128)(39, 133)(40, 147)(41, 131)(42, 132)(43, 149)(44, 150)(45, 136)(46, 138)(47, 142)(48, 141)(49, 148)(50, 145)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 50 ), ( 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1019
Graph:: bipartite
	v = 51 e = 100 f = 7
	degree seq :: [ 2^50, 100 ]

E22.1032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-1 * Y1^-5, (R * Y2 * Y3^-1)^2, Y3^10, Y3^4 * Y1^-1 * Y3 * Y1^-1 * Y3^3 * Y1^-2 * Y3 * Y1^-1, (Y3 * Y2^-1)^10, Y1^-2 * Y3^-2 * Y1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^3 * Y3^-1 * Y1^2 * Y3^-4 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 12, 62, 5, 55, 8, 58, 16, 66, 24, 74, 22, 72, 13, 63, 18, 68, 26, 76, 34, 84, 32, 82, 23, 73, 28, 78, 36, 86, 43, 93, 42, 92, 33, 83, 38, 88, 45, 95, 49, 99, 47, 97, 39, 89, 46, 96, 50, 100, 48, 98, 40, 90, 29, 79, 37, 87, 44, 94, 41, 91, 30, 80, 19, 69, 27, 77, 35, 85, 31, 81, 20, 70, 9, 59, 17, 67, 25, 75, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 111)(15, 125)(16, 106)(17, 127)(18, 108)(19, 129)(20, 130)(21, 131)(22, 112)(23, 113)(24, 114)(25, 135)(26, 116)(27, 137)(28, 118)(29, 139)(30, 140)(31, 141)(32, 122)(33, 123)(34, 124)(35, 144)(36, 126)(37, 146)(38, 128)(39, 133)(40, 147)(41, 148)(42, 132)(43, 134)(44, 150)(45, 136)(46, 138)(47, 142)(48, 149)(49, 143)(50, 145)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 50 ), ( 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1020
Graph:: bipartite
	v = 51 e = 100 f = 7
	degree seq :: [ 2^50, 100 ]

E22.1033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-5 * Y3^3, Y3^-10, (Y3 * Y2^-1)^10, Y1 * Y3^4 * Y1^2 * Y3^4 * Y1^2 * Y3^4 * Y1^2 * Y3^4 * Y1^2 * Y3^4 * Y1^2 * Y3^4 * Y1^2 * Y3^4 * Y1^2 * Y3^3 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 19, 69, 31, 81, 40, 90, 48, 98, 46, 96, 37, 87, 42, 92, 34, 84, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 20, 70, 9, 59, 17, 67, 29, 79, 39, 89, 47, 97, 43, 93, 50, 100, 44, 94, 35, 85, 24, 74, 13, 63, 18, 68, 30, 80, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 38, 88, 33, 83, 41, 91, 49, 99, 45, 95, 36, 86, 25, 75, 32, 82, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 126)(21, 128)(22, 130)(23, 111)(24, 112)(25, 113)(26, 138)(27, 139)(28, 114)(29, 140)(30, 116)(31, 141)(32, 118)(33, 143)(34, 122)(35, 123)(36, 124)(37, 125)(38, 147)(39, 148)(40, 149)(41, 150)(42, 132)(43, 137)(44, 134)(45, 135)(46, 136)(47, 146)(48, 145)(49, 144)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 50 ), ( 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1022
Graph:: bipartite
	v = 51 e = 100 f = 7
	degree seq :: [ 2^50, 100 ]

E22.1034 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-3 * Y1^-5, Y3^4 * Y1^-1 * Y3^4 * Y1 * Y3^2, Y3^20, Y3^20, (Y3 * Y2^-1)^10, Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3 * Y1^3 * Y3^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 25, 75, 32, 82, 40, 90, 48, 98, 44, 94, 33, 83, 41, 91, 36, 86, 21, 71, 10, 60, 3, 53, 7, 57, 15, 65, 27, 77, 24, 74, 13, 63, 18, 68, 30, 80, 39, 89, 47, 97, 43, 93, 50, 100, 46, 96, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 38, 88, 37, 87, 42, 92, 49, 99, 45, 95, 34, 84, 19, 69, 31, 81, 22, 72, 11, 61, 4, 54)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 124)(27, 123)(28, 114)(29, 122)(30, 116)(31, 141)(32, 118)(33, 143)(34, 144)(35, 145)(36, 146)(37, 125)(38, 126)(39, 128)(40, 130)(41, 150)(42, 132)(43, 137)(44, 147)(45, 148)(46, 149)(47, 138)(48, 139)(49, 140)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 50 ), ( 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50, 20, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1021
Graph:: bipartite
	v = 51 e = 100 f = 7
	degree seq :: [ 2^50, 100 ]

E22.1035 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^3 * Y3^-1 * Y2^2, Y1^10, Y2^-1 * Y3^2 * Y2^2 * 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 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 24, 74, 34, 84, 32, 82, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 25, 75, 35, 85, 43, 93, 41, 91, 31, 81, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 26, 76, 36, 86, 44, 94, 42, 92, 33, 83, 23, 73, 12, 62)(9, 59, 17, 67, 27, 77, 37, 87, 45, 95, 49, 99, 48, 98, 40, 90, 30, 80, 20, 70)(13, 63, 18, 68, 28, 78, 38, 88, 46, 96, 50, 100, 47, 97, 39, 89, 29, 79, 19, 69)(101, 151, 103, 153, 109, 159, 119, 169, 112, 162, 104, 154, 110, 160, 120, 170, 129, 179, 123, 173, 111, 161, 121, 171, 130, 180, 139, 189, 133, 183, 122, 172, 131, 181, 140, 190, 147, 197, 142, 192, 132, 182, 141, 191, 148, 198, 150, 200, 144, 194, 134, 184, 143, 193, 149, 199, 146, 196, 136, 186, 124, 174, 135, 185, 145, 195, 138, 188, 126, 176, 114, 164, 125, 175, 137, 187, 128, 178, 116, 166, 106, 156, 115, 165, 127, 177, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 119)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 139)(30, 140)(31, 141)(32, 134)(33, 142)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 147)(40, 148)(41, 143)(42, 144)(43, 135)(44, 136)(45, 137)(46, 138)(47, 150)(48, 149)(49, 145)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1039
Graph:: bipartite
	v = 6 e = 100 f = 52
	degree seq :: [ 20^5, 100 ]

E22.1036 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^5 * Y3, Y1^10, 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 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 24, 74, 34, 84, 31, 81, 21, 71, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 25, 75, 35, 85, 43, 93, 40, 90, 30, 80, 20, 70, 10, 60)(5, 55, 8, 58, 16, 66, 26, 76, 36, 86, 44, 94, 41, 91, 32, 82, 22, 72, 12, 62)(9, 59, 17, 67, 27, 77, 37, 87, 45, 95, 49, 99, 47, 97, 39, 89, 29, 79, 19, 69)(13, 63, 18, 68, 28, 78, 38, 88, 46, 96, 50, 100, 48, 98, 42, 92, 33, 83, 23, 73)(101, 151, 103, 153, 109, 159, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 128, 178, 116, 166, 106, 156, 115, 165, 127, 177, 138, 188, 126, 176, 114, 164, 125, 175, 137, 187, 146, 196, 136, 186, 124, 174, 135, 185, 145, 195, 150, 200, 144, 194, 134, 184, 143, 193, 149, 199, 148, 198, 141, 191, 131, 181, 140, 190, 147, 197, 142, 192, 132, 182, 121, 171, 130, 180, 139, 189, 133, 183, 122, 172, 111, 161, 120, 170, 129, 179, 123, 173, 112, 162, 104, 154, 110, 160, 119, 169, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 119)(10, 120)(11, 121)(12, 122)(13, 123)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 139)(30, 140)(31, 134)(32, 141)(33, 142)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 147)(40, 143)(41, 144)(42, 148)(43, 135)(44, 136)(45, 137)(46, 138)(47, 149)(48, 150)(49, 145)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1040
Graph:: bipartite
	v = 6 e = 100 f = 52
	degree seq :: [ 20^5, 100 ]

E22.1037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y2^-1, Y1^-1), Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-4 * Y3^-1 * Y2^-1 * Y1^2, Y3^6 * Y1^-4, 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 38, 88, 34, 84, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 47, 97, 43, 93, 33, 83, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 28, 78, 40, 90, 48, 98, 44, 94, 35, 85, 23, 73, 12, 62)(9, 59, 17, 67, 29, 79, 41, 91, 49, 99, 46, 96, 37, 87, 25, 75, 32, 82, 20, 70)(13, 63, 18, 68, 30, 80, 19, 69, 31, 81, 42, 92, 50, 100, 45, 95, 36, 86, 24, 74)(101, 151, 103, 153, 109, 159, 119, 169, 128, 178, 114, 164, 127, 177, 141, 191, 150, 200, 144, 194, 134, 184, 143, 193, 137, 187, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 142, 192, 148, 198, 138, 188, 147, 197, 146, 196, 136, 186, 123, 173, 111, 161, 121, 171, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 140, 190, 126, 176, 139, 189, 149, 199, 145, 195, 135, 185, 122, 172, 133, 183, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 130)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 143)(34, 138)(35, 144)(36, 145)(37, 146)(38, 126)(39, 127)(40, 128)(41, 129)(42, 131)(43, 147)(44, 148)(45, 150)(46, 149)(47, 139)(48, 140)(49, 141)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1042
Graph:: bipartite
	v = 6 e = 100 f = 52
	degree seq :: [ 20^5, 100 ]

E22.1038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^2 * Y2^-1 * Y3 * Y2^-4, Y1^10, Y2 * Y3 * Y2 * Y3^2 * Y2^3 * Y1^-4, Y2^2 * Y3 * Y2 * Y3 * Y2^2 * Y1^5, Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3^-1 * Y2^3 * Y3 * Y1^-1 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 38, 88, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 47, 97, 46, 96, 36, 86, 21, 71, 10, 60)(5, 55, 8, 58, 16, 66, 28, 78, 40, 90, 48, 98, 43, 93, 33, 83, 23, 73, 12, 62)(9, 59, 17, 67, 29, 79, 25, 75, 32, 82, 42, 92, 50, 100, 45, 95, 35, 85, 20, 70)(13, 63, 18, 68, 30, 80, 41, 91, 49, 99, 44, 94, 34, 84, 19, 69, 31, 81, 24, 74)(101, 151, 103, 153, 109, 159, 119, 169, 133, 183, 122, 172, 136, 186, 145, 195, 149, 199, 140, 190, 126, 176, 139, 189, 132, 182, 118, 168, 108, 158, 102, 152, 107, 157, 117, 167, 131, 181, 123, 173, 111, 161, 121, 171, 135, 185, 144, 194, 148, 198, 138, 188, 147, 197, 142, 192, 130, 180, 116, 166, 106, 156, 115, 165, 129, 179, 124, 174, 112, 162, 104, 154, 110, 160, 120, 170, 134, 184, 143, 193, 137, 187, 146, 196, 150, 200, 141, 191, 128, 178, 114, 164, 127, 177, 125, 175, 113, 163, 105, 155)
	L = (1, 104)(2, 101)(3, 110)(4, 111)(5, 112)(6, 102)(7, 103)(8, 105)(9, 120)(10, 121)(11, 122)(12, 123)(13, 124)(14, 106)(15, 107)(16, 108)(17, 109)(18, 113)(19, 134)(20, 135)(21, 136)(22, 137)(23, 133)(24, 131)(25, 129)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 125)(33, 143)(34, 144)(35, 145)(36, 146)(37, 138)(38, 126)(39, 127)(40, 128)(41, 130)(42, 132)(43, 148)(44, 149)(45, 150)(46, 147)(47, 139)(48, 140)(49, 141)(50, 142)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ), ( 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50, 2, 50 ) }
Outer automorphisms :: reflexible
Dual of E22.1041
Graph:: bipartite
	v = 6 e = 100 f = 52
	degree seq :: [ 20^5, 100 ]

E22.1039 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^5 * Y3^-1 * Y1^7 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^10, Y1^25, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 22, 72, 30, 80, 38, 88, 46, 96, 45, 95, 37, 87, 29, 79, 21, 71, 13, 63, 9, 59, 17, 67, 25, 75, 33, 83, 41, 91, 49, 99, 43, 93, 35, 85, 27, 77, 19, 69, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 23, 73, 31, 81, 39, 89, 47, 97, 44, 94, 36, 86, 28, 78, 20, 70, 12, 62, 5, 55, 8, 58, 16, 66, 24, 74, 32, 82, 40, 90, 48, 98, 50, 100, 42, 92, 34, 84, 26, 76, 18, 68, 10, 60)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 108)(10, 113)(11, 118)(12, 104)(13, 105)(14, 123)(15, 125)(16, 106)(17, 116)(18, 121)(19, 126)(20, 111)(21, 112)(22, 131)(23, 133)(24, 114)(25, 124)(26, 129)(27, 134)(28, 119)(29, 120)(30, 139)(31, 141)(32, 122)(33, 132)(34, 137)(35, 142)(36, 127)(37, 128)(38, 147)(39, 149)(40, 130)(41, 140)(42, 145)(43, 150)(44, 135)(45, 136)(46, 144)(47, 143)(48, 138)(49, 148)(50, 146)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 100 ), ( 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1035
Graph:: simple bipartite
	v = 52 e = 100 f = 6
	degree seq :: [ 2^50, 50^2 ]

E22.1040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y1 * Y3^2, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-5, Y1^-1 * Y3^2 * Y1^10 * Y3^2, (Y1^-1 * Y3^-1)^10, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 38, 88, 33, 83, 20, 70, 9, 59, 17, 67, 29, 79, 41, 91, 48, 98, 50, 100, 46, 96, 37, 87, 24, 74, 13, 63, 18, 68, 30, 80, 42, 92, 35, 85, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 39, 89, 47, 97, 44, 94, 32, 82, 19, 69, 25, 75, 31, 81, 43, 93, 49, 99, 45, 95, 36, 86, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 40, 90, 34, 84, 21, 71, 10, 60)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 125)(18, 108)(19, 124)(20, 132)(21, 133)(22, 134)(23, 111)(24, 112)(25, 113)(26, 139)(27, 141)(28, 114)(29, 131)(30, 116)(31, 118)(32, 137)(33, 144)(34, 138)(35, 140)(36, 122)(37, 123)(38, 147)(39, 148)(40, 126)(41, 143)(42, 128)(43, 130)(44, 146)(45, 135)(46, 136)(47, 150)(48, 149)(49, 142)(50, 145)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 100 ), ( 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1036
Graph:: simple bipartite
	v = 52 e = 100 f = 6
	degree seq :: [ 2^50, 50^2 ]

E22.1041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y1 * Y3^16, Y1 * Y3^16, (Y1^-1 * Y3^-1)^10, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 9, 59, 15, 65, 20, 70, 22, 72, 27, 77, 32, 82, 34, 84, 39, 89, 44, 94, 46, 96, 49, 99, 47, 97, 42, 92, 37, 87, 35, 85, 30, 80, 25, 75, 23, 73, 18, 68, 13, 63, 11, 61, 4, 54)(3, 53, 7, 57, 14, 64, 16, 66, 21, 71, 26, 76, 28, 78, 33, 83, 38, 88, 40, 90, 45, 95, 50, 100, 48, 98, 43, 93, 41, 91, 36, 86, 31, 81, 29, 79, 24, 74, 19, 69, 17, 67, 12, 62, 5, 55, 8, 58, 10, 60)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 114)(7, 115)(8, 102)(9, 116)(10, 106)(11, 108)(12, 104)(13, 105)(14, 120)(15, 121)(16, 122)(17, 111)(18, 112)(19, 113)(20, 126)(21, 127)(22, 128)(23, 117)(24, 118)(25, 119)(26, 132)(27, 133)(28, 134)(29, 123)(30, 124)(31, 125)(32, 138)(33, 139)(34, 140)(35, 129)(36, 130)(37, 131)(38, 144)(39, 145)(40, 146)(41, 135)(42, 136)(43, 137)(44, 150)(45, 149)(46, 148)(47, 141)(48, 142)(49, 143)(50, 147)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 100 ), ( 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1038
Graph:: simple bipartite
	v = 52 e = 100 f = 6
	degree seq :: [ 2^50, 50^2 ]

E22.1042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 25, 50})
Quotient :: dipole
Aut^+ = C50 (small group id <50, 2>)
Aut   = D100 (small group id <100, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y1^5 * Y3^2 * Y1^2, Y1^2 * Y3^-1 * Y1 * Y3^-5 * Y1, Y3^-3 * Y1^2 * Y3^3 * Y1^-2, 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 * Y1^4, (Y3 * Y2^-1)^50 ]
Map::
	R = (1, 51, 2, 52, 6, 56, 14, 64, 26, 76, 39, 89, 24, 74, 13, 63, 18, 68, 30, 80, 43, 93, 33, 83, 46, 96, 50, 100, 41, 91, 47, 97, 35, 85, 20, 70, 9, 59, 17, 67, 29, 79, 37, 87, 22, 72, 11, 61, 4, 54)(3, 53, 7, 57, 15, 65, 27, 77, 38, 88, 23, 73, 12, 62, 5, 55, 8, 58, 16, 66, 28, 78, 42, 92, 49, 99, 40, 90, 25, 75, 32, 82, 45, 95, 34, 84, 19, 69, 31, 81, 44, 94, 48, 98, 36, 86, 21, 71, 10, 60)(101, 151)(102, 152)(103, 153)(104, 154)(105, 155)(106, 156)(107, 157)(108, 158)(109, 159)(110, 160)(111, 161)(112, 162)(113, 163)(114, 164)(115, 165)(116, 166)(117, 167)(118, 168)(119, 169)(120, 170)(121, 171)(122, 172)(123, 173)(124, 174)(125, 175)(126, 176)(127, 177)(128, 178)(129, 179)(130, 180)(131, 181)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(144, 194)(145, 195)(146, 196)(147, 197)(148, 198)(149, 199)(150, 200)
	L = (1, 103)(2, 107)(3, 109)(4, 110)(5, 101)(6, 115)(7, 117)(8, 102)(9, 119)(10, 120)(11, 121)(12, 104)(13, 105)(14, 127)(15, 129)(16, 106)(17, 131)(18, 108)(19, 133)(20, 134)(21, 135)(22, 136)(23, 111)(24, 112)(25, 113)(26, 138)(27, 137)(28, 114)(29, 144)(30, 116)(31, 146)(32, 118)(33, 142)(34, 143)(35, 145)(36, 147)(37, 148)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 128)(44, 150)(45, 130)(46, 149)(47, 132)(48, 141)(49, 139)(50, 140)(51, 151)(52, 152)(53, 153)(54, 154)(55, 155)(56, 156)(57, 157)(58, 158)(59, 159)(60, 160)(61, 161)(62, 162)(63, 163)(64, 164)(65, 165)(66, 166)(67, 167)(68, 168)(69, 169)(70, 170)(71, 171)(72, 172)(73, 173)(74, 174)(75, 175)(76, 176)(77, 177)(78, 178)(79, 179)(80, 180)(81, 181)(82, 182)(83, 183)(84, 184)(85, 185)(86, 186)(87, 187)(88, 188)(89, 189)(90, 190)(91, 191)(92, 192)(93, 193)(94, 194)(95, 195)(96, 196)(97, 197)(98, 198)(99, 199)(100, 200)
	local type(s) :: { ( 20, 100 ), ( 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100, 20, 100 ) }
Outer automorphisms :: reflexible
Dual of E22.1037
Graph:: simple bipartite
	v = 52 e = 100 f = 6
	degree seq :: [ 2^50, 50^2 ]

E22.1043 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1, Y1^-3 * Y2 * Y1^3 * Y2, Y1^9 ]
Map::
	R = (1, 56, 2, 59, 5, 65, 11, 77, 23, 92, 38, 76, 22, 64, 10, 58, 4, 55)(3, 61, 7, 69, 15, 78, 24, 94, 40, 102, 48, 89, 35, 72, 18, 62, 8, 57)(6, 67, 13, 81, 27, 93, 39, 104, 50, 91, 37, 75, 21, 84, 30, 68, 14, 60)(9, 73, 19, 80, 26, 66, 12, 79, 25, 95, 41, 103, 49, 90, 36, 74, 20, 63)(16, 82, 28, 96, 42, 105, 51, 108, 54, 101, 47, 88, 34, 99, 45, 86, 32, 70)(17, 83, 29, 97, 43, 85, 31, 98, 44, 106, 52, 107, 53, 100, 46, 87, 33, 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, 34)(19, 32)(20, 33)(22, 35)(23, 39)(25, 42)(26, 43)(27, 44)(30, 45)(36, 47)(37, 46)(38, 49)(40, 51)(41, 52)(48, 53)(50, 54)(55, 57)(56, 60)(58, 63)(59, 66)(61, 70)(62, 71)(64, 75)(65, 78)(67, 82)(68, 83)(69, 85)(72, 88)(73, 86)(74, 87)(76, 89)(77, 93)(79, 96)(80, 97)(81, 98)(84, 99)(90, 101)(91, 100)(92, 103)(94, 105)(95, 106)(102, 107)(104, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1044 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, R * Y2 * R * Y3, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3, (Y2 * Y1^-3)^2, Y1^9 ]
Map::
	R = (1, 56, 2, 59, 5, 65, 11, 77, 23, 92, 38, 76, 22, 64, 10, 58, 4, 55)(3, 61, 7, 69, 15, 85, 31, 100, 46, 94, 40, 78, 24, 72, 18, 62, 8, 57)(6, 67, 13, 81, 27, 75, 21, 91, 37, 104, 50, 93, 39, 84, 30, 68, 14, 60)(9, 73, 19, 90, 36, 103, 49, 97, 43, 80, 26, 66, 12, 79, 25, 74, 20, 63)(16, 82, 28, 95, 41, 89, 35, 99, 45, 106, 52, 107, 53, 102, 48, 87, 33, 70)(17, 83, 29, 96, 42, 105, 51, 108, 54, 101, 47, 86, 32, 98, 44, 88, 34, 71)
	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, 39)(25, 41)(26, 42)(27, 44)(30, 45)(36, 47)(37, 48)(38, 49)(40, 51)(43, 52)(46, 53)(50, 54)(55, 57)(56, 60)(58, 63)(59, 66)(61, 70)(62, 71)(64, 75)(65, 78)(67, 82)(68, 83)(69, 86)(72, 89)(73, 87)(74, 88)(76, 85)(77, 93)(79, 95)(80, 96)(81, 98)(84, 99)(90, 101)(91, 102)(92, 103)(94, 105)(97, 106)(100, 107)(104, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1045 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y3 * Y2 * Y3 * Y1^-2 * Y2, Y1^4 * 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 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 72, 18, 83, 29, 92, 38, 98, 44, 71, 17, 59, 5, 55)(3, 63, 9, 81, 27, 80, 26, 62, 8, 78, 24, 99, 45, 88, 34, 65, 11, 57)(4, 66, 12, 73, 19, 100, 46, 95, 41, 69, 15, 94, 40, 93, 39, 68, 14, 58)(7, 75, 21, 90, 36, 97, 43, 74, 20, 84, 30, 96, 42, 70, 16, 77, 23, 61)(10, 76, 22, 101, 47, 108, 54, 106, 52, 86, 32, 103, 49, 89, 35, 85, 31, 64)(13, 79, 25, 87, 33, 104, 50, 82, 28, 102, 48, 105, 51, 107, 53, 91, 37, 67)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 35)(14, 38)(16, 37)(17, 43)(18, 45)(20, 33)(21, 48)(22, 39)(23, 49)(24, 31)(26, 44)(27, 47)(29, 42)(34, 53)(36, 54)(40, 50)(41, 52)(46, 51)(55, 58)(56, 62)(57, 64)(59, 70)(60, 74)(61, 76)(63, 83)(65, 87)(66, 82)(67, 90)(68, 86)(69, 85)(71, 88)(72, 94)(73, 101)(75, 92)(77, 104)(78, 102)(79, 95)(80, 103)(81, 91)(84, 105)(89, 97)(93, 107)(96, 106)(98, 100)(99, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1046
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1046 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1^3, (Y2 * Y3)^3, Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3, Y1^2 * Y2 * Y3 * Y1 * Y2 * Y3, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 64, 10, 74, 20, 86, 32, 67, 13, 71, 17, 59, 5, 55)(3, 63, 9, 68, 14, 58, 4, 66, 12, 84, 30, 80, 26, 83, 29, 65, 11, 57)(7, 73, 19, 77, 23, 62, 8, 76, 22, 100, 46, 92, 38, 99, 45, 75, 21, 61)(15, 88, 34, 91, 37, 70, 16, 90, 36, 94, 40, 72, 18, 93, 39, 89, 35, 69)(24, 95, 41, 104, 50, 79, 25, 96, 42, 107, 53, 85, 31, 101, 47, 103, 49, 78)(27, 97, 43, 106, 52, 82, 28, 98, 44, 108, 54, 87, 33, 102, 48, 105, 51, 81)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 18)(8, 17)(9, 24)(10, 26)(11, 27)(12, 31)(14, 33)(16, 32)(19, 41)(20, 38)(21, 43)(22, 47)(23, 48)(25, 29)(28, 30)(34, 49)(35, 51)(36, 53)(37, 54)(39, 50)(40, 52)(42, 45)(44, 46)(55, 58)(56, 62)(57, 64)(59, 70)(60, 69)(61, 74)(63, 79)(65, 82)(66, 78)(67, 80)(68, 81)(71, 92)(72, 86)(73, 96)(75, 98)(76, 95)(77, 97)(83, 85)(84, 87)(88, 104)(89, 106)(90, 103)(91, 105)(93, 107)(94, 108)(99, 101)(100, 102)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1045
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1047 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^3 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y3^9 ]
Map::
	R = (1, 55, 3, 57, 8, 62, 18, 72, 35, 89, 38, 92, 22, 76, 10, 64, 4, 58)(2, 56, 5, 59, 12, 66, 26, 80, 43, 97, 46, 100, 30, 84, 14, 68, 6, 60)(7, 61, 15, 69, 31, 85, 47, 101, 50, 104, 37, 91, 21, 75, 32, 86, 16, 70)(9, 63, 19, 73, 34, 88, 17, 71, 33, 87, 48, 102, 49, 103, 36, 90, 20, 74)(11, 65, 23, 77, 39, 93, 51, 105, 54, 108, 45, 99, 29, 83, 40, 94, 24, 78)(13, 67, 27, 81, 42, 96, 25, 79, 41, 95, 52, 106, 53, 107, 44, 98, 28, 82)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 133)(122, 137)(123, 131)(124, 135)(126, 134)(127, 132)(128, 136)(130, 138)(139, 149)(140, 148)(141, 147)(142, 150)(143, 155)(144, 153)(145, 152)(146, 157)(151, 159)(154, 161)(156, 160)(158, 162)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 187)(176, 191)(177, 185)(178, 189)(180, 188)(181, 186)(182, 190)(184, 192)(193, 203)(194, 202)(195, 201)(196, 204)(197, 209)(198, 207)(199, 206)(200, 211)(205, 213)(208, 215)(210, 214)(212, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1053
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1048 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3^3 * Y1)^2, Y3^9 ]
Map::
	R = (1, 55, 3, 57, 8, 62, 18, 72, 35, 89, 38, 92, 22, 76, 10, 64, 4, 58)(2, 56, 5, 59, 12, 66, 26, 80, 43, 97, 46, 100, 30, 84, 14, 68, 6, 60)(7, 61, 15, 69, 31, 85, 21, 75, 37, 91, 50, 104, 47, 101, 32, 86, 16, 70)(9, 63, 19, 73, 36, 90, 49, 103, 48, 102, 34, 88, 17, 71, 33, 87, 20, 74)(11, 65, 23, 77, 39, 93, 29, 83, 45, 99, 54, 108, 51, 105, 40, 94, 24, 78)(13, 67, 27, 81, 44, 98, 53, 107, 52, 106, 42, 96, 25, 79, 41, 95, 28, 82)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 133)(122, 137)(123, 131)(124, 135)(126, 138)(127, 132)(128, 136)(130, 134)(139, 149)(140, 153)(141, 147)(142, 152)(143, 155)(144, 150)(145, 148)(146, 157)(151, 159)(154, 161)(156, 162)(158, 160)(163, 164)(165, 169)(166, 171)(167, 173)(168, 175)(170, 179)(172, 183)(174, 187)(176, 191)(177, 185)(178, 189)(180, 192)(181, 186)(182, 190)(184, 188)(193, 203)(194, 207)(195, 201)(196, 206)(197, 209)(198, 204)(199, 202)(200, 211)(205, 213)(208, 215)(210, 216)(212, 214)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1054
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1049 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^2, (Y1 * Y2)^3, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^2, Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map::
	R = (1, 55, 4, 58, 14, 68, 6, 60, 19, 73, 25, 79, 9, 63, 17, 71, 5, 59)(2, 56, 7, 61, 11, 65, 3, 57, 10, 64, 27, 81, 18, 72, 24, 78, 8, 62)(12, 66, 29, 83, 32, 86, 13, 67, 31, 85, 52, 106, 38, 92, 51, 105, 30, 84)(15, 69, 34, 88, 37, 91, 16, 70, 36, 90, 54, 108, 33, 87, 53, 107, 35, 89)(20, 74, 39, 93, 42, 96, 21, 75, 41, 95, 48, 102, 26, 80, 47, 101, 40, 94)(22, 76, 43, 97, 46, 100, 23, 77, 45, 99, 50, 104, 28, 82, 49, 103, 44, 98)(109, 110)(111, 117)(112, 120)(113, 123)(114, 126)(115, 128)(116, 130)(118, 134)(119, 136)(121, 125)(122, 141)(124, 133)(127, 146)(129, 132)(131, 135)(137, 147)(138, 151)(139, 155)(140, 157)(142, 148)(143, 152)(144, 156)(145, 158)(149, 159)(150, 161)(153, 160)(154, 162)(163, 165)(164, 168)(166, 175)(167, 178)(169, 183)(170, 185)(171, 180)(172, 182)(173, 184)(174, 181)(176, 177)(179, 200)(186, 188)(187, 195)(189, 190)(191, 203)(192, 207)(193, 201)(194, 205)(196, 204)(197, 208)(198, 202)(199, 206)(209, 213)(210, 215)(211, 214)(212, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1056
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1050 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y3^-2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^9, Y3^4 * Y1 * Y3^-4 * Y2 ]
Map::
	R = (1, 55, 4, 58, 14, 68, 30, 84, 44, 98, 47, 101, 33, 87, 17, 71, 5, 59)(2, 56, 7, 61, 16, 70, 31, 85, 45, 99, 50, 104, 38, 92, 24, 78, 8, 62)(3, 57, 10, 64, 27, 81, 41, 95, 53, 107, 42, 96, 28, 82, 12, 66, 11, 65)(6, 60, 19, 73, 35, 89, 48, 102, 52, 106, 40, 94, 36, 90, 21, 75, 20, 74)(9, 63, 22, 76, 23, 77, 34, 88, 37, 91, 49, 103, 51, 105, 39, 93, 26, 80)(13, 67, 15, 69, 25, 79, 32, 86, 46, 100, 54, 108, 43, 97, 29, 83, 18, 72)(109, 110)(111, 117)(112, 120)(113, 123)(114, 126)(115, 129)(116, 131)(118, 125)(119, 128)(121, 130)(122, 137)(124, 134)(127, 132)(133, 144)(135, 148)(136, 142)(138, 146)(139, 141)(140, 147)(143, 150)(145, 151)(149, 159)(152, 161)(153, 160)(154, 155)(156, 162)(157, 158)(163, 165)(164, 168)(166, 175)(167, 178)(169, 184)(170, 176)(171, 187)(172, 183)(173, 185)(174, 181)(177, 182)(179, 194)(180, 196)(186, 199)(188, 189)(190, 192)(191, 197)(193, 198)(195, 203)(200, 210)(201, 207)(202, 208)(204, 211)(205, 206)(209, 212)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1055
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1051 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (Y2, Y1), (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^-3 * Y1^-3, (Y3 * Y1 * Y2^-1)^2, Y1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y2^2, Y1^9, Y2^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58)(2, 56, 9, 63)(3, 57, 12, 66)(5, 59, 14, 68)(6, 60, 15, 69)(7, 61, 21, 75)(8, 62, 24, 78)(10, 64, 25, 79)(11, 65, 28, 82)(13, 67, 30, 84)(16, 70, 32, 86)(17, 71, 33, 87)(18, 72, 34, 88)(19, 73, 36, 90)(20, 74, 38, 92)(22, 76, 39, 93)(23, 77, 41, 95)(26, 80, 42, 96)(27, 81, 44, 98)(29, 83, 46, 100)(31, 85, 48, 102)(35, 89, 49, 103)(37, 91, 50, 104)(40, 94, 51, 105)(43, 97, 52, 106)(45, 99, 53, 107)(47, 101, 54, 108)(109, 110, 115, 127, 143, 153, 135, 124, 113)(111, 116, 128, 126, 134, 148, 151, 139, 121)(112, 122, 140, 152, 161, 157, 144, 129, 117)(114, 118, 130, 145, 155, 137, 119, 131, 125)(120, 138, 156, 160, 159, 150, 142, 146, 132)(123, 141, 149, 136, 154, 162, 158, 147, 133)(163, 165, 173, 189, 205, 199, 181, 180, 168)(164, 170, 185, 178, 193, 209, 197, 188, 172)(166, 177, 196, 198, 212, 214, 206, 190, 174)(167, 175, 191, 207, 202, 184, 169, 182, 179)(171, 187, 204, 211, 216, 210, 194, 203, 186)(176, 195, 200, 183, 201, 213, 215, 208, 192)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E22.1057
Graph:: simple bipartite
	v = 39 e = 108 f = 27
	degree seq :: [ 4^27, 9^12 ]

E22.1052 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y1^-1 * Y3 * Y2 * Y1^-2, Y2^2 * Y3 * Y1^-3 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 16, 70)(9, 63, 20, 74)(10, 64, 22, 76)(11, 65, 24, 78)(13, 67, 28, 82)(14, 68, 30, 84)(15, 69, 32, 86)(17, 71, 35, 89)(18, 72, 36, 90)(19, 73, 37, 91)(21, 75, 38, 92)(23, 77, 39, 93)(25, 79, 41, 95)(26, 80, 43, 97)(27, 81, 44, 98)(29, 83, 45, 99)(31, 85, 46, 100)(33, 87, 49, 103)(34, 88, 50, 104)(40, 94, 51, 105)(42, 96, 52, 106)(47, 101, 53, 107)(48, 102, 54, 108)(109, 110, 113, 119, 131, 139, 123, 115, 111)(112, 117, 127, 140, 155, 148, 132, 129, 118)(114, 121, 135, 124, 141, 156, 147, 137, 122)(116, 125, 142, 154, 150, 134, 120, 133, 126)(128, 136, 149, 146, 153, 160, 161, 157, 143)(130, 138, 151, 159, 162, 158, 145, 152, 144)(163, 165, 169, 177, 193, 185, 173, 167, 164)(166, 172, 183, 186, 202, 209, 194, 181, 171)(168, 176, 191, 201, 210, 195, 178, 189, 175)(170, 180, 187, 174, 188, 204, 208, 196, 179)(182, 197, 211, 215, 214, 207, 200, 203, 190)(184, 198, 206, 199, 212, 216, 213, 205, 192)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E22.1058
Graph:: simple bipartite
	v = 39 e = 108 f = 27
	degree seq :: [ 4^27, 9^12 ]

E22.1053 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^3 * Y1 * Y3^-1, Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y3^9 ]
Map::
	R = (1, 55, 109, 163, 3, 57, 111, 165, 8, 62, 116, 170, 18, 72, 126, 180, 35, 89, 143, 197, 38, 92, 146, 200, 22, 76, 130, 184, 10, 64, 118, 172, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167, 12, 66, 120, 174, 26, 80, 134, 188, 43, 97, 151, 205, 46, 100, 154, 208, 30, 84, 138, 192, 14, 68, 122, 176, 6, 60, 114, 168)(7, 61, 115, 169, 15, 69, 123, 177, 31, 85, 139, 193, 47, 101, 155, 209, 50, 104, 158, 212, 37, 91, 145, 199, 21, 75, 129, 183, 32, 86, 140, 194, 16, 70, 124, 178)(9, 63, 117, 171, 19, 73, 127, 181, 34, 88, 142, 196, 17, 71, 125, 179, 33, 87, 141, 195, 48, 102, 156, 210, 49, 103, 157, 211, 36, 90, 144, 198, 20, 74, 128, 182)(11, 65, 119, 173, 23, 77, 131, 185, 39, 93, 147, 201, 51, 105, 159, 213, 54, 108, 162, 216, 45, 99, 153, 207, 29, 83, 137, 191, 40, 94, 148, 202, 24, 78, 132, 186)(13, 67, 121, 175, 27, 81, 135, 189, 42, 96, 150, 204, 25, 79, 133, 187, 41, 95, 149, 203, 52, 106, 160, 214, 53, 107, 161, 215, 44, 98, 152, 206, 28, 82, 136, 190)
	L = (1, 56)(2, 55)(3, 61)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 58)(10, 75)(11, 59)(12, 79)(13, 60)(14, 83)(15, 77)(16, 81)(17, 62)(18, 80)(19, 78)(20, 82)(21, 64)(22, 84)(23, 69)(24, 73)(25, 66)(26, 72)(27, 70)(28, 74)(29, 68)(30, 76)(31, 95)(32, 94)(33, 93)(34, 96)(35, 101)(36, 99)(37, 98)(38, 103)(39, 87)(40, 86)(41, 85)(42, 88)(43, 105)(44, 91)(45, 90)(46, 107)(47, 89)(48, 106)(49, 92)(50, 108)(51, 97)(52, 102)(53, 100)(54, 104)(109, 164)(110, 163)(111, 169)(112, 171)(113, 173)(114, 175)(115, 165)(116, 179)(117, 166)(118, 183)(119, 167)(120, 187)(121, 168)(122, 191)(123, 185)(124, 189)(125, 170)(126, 188)(127, 186)(128, 190)(129, 172)(130, 192)(131, 177)(132, 181)(133, 174)(134, 180)(135, 178)(136, 182)(137, 176)(138, 184)(139, 203)(140, 202)(141, 201)(142, 204)(143, 209)(144, 207)(145, 206)(146, 211)(147, 195)(148, 194)(149, 193)(150, 196)(151, 213)(152, 199)(153, 198)(154, 215)(155, 197)(156, 214)(157, 200)(158, 216)(159, 205)(160, 210)(161, 208)(162, 212)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1047
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1054 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3^3 * Y1)^2, Y3^9 ]
Map::
	R = (1, 55, 109, 163, 3, 57, 111, 165, 8, 62, 116, 170, 18, 72, 126, 180, 35, 89, 143, 197, 38, 92, 146, 200, 22, 76, 130, 184, 10, 64, 118, 172, 4, 58, 112, 166)(2, 56, 110, 164, 5, 59, 113, 167, 12, 66, 120, 174, 26, 80, 134, 188, 43, 97, 151, 205, 46, 100, 154, 208, 30, 84, 138, 192, 14, 68, 122, 176, 6, 60, 114, 168)(7, 61, 115, 169, 15, 69, 123, 177, 31, 85, 139, 193, 21, 75, 129, 183, 37, 91, 145, 199, 50, 104, 158, 212, 47, 101, 155, 209, 32, 86, 140, 194, 16, 70, 124, 178)(9, 63, 117, 171, 19, 73, 127, 181, 36, 90, 144, 198, 49, 103, 157, 211, 48, 102, 156, 210, 34, 88, 142, 196, 17, 71, 125, 179, 33, 87, 141, 195, 20, 74, 128, 182)(11, 65, 119, 173, 23, 77, 131, 185, 39, 93, 147, 201, 29, 83, 137, 191, 45, 99, 153, 207, 54, 108, 162, 216, 51, 105, 159, 213, 40, 94, 148, 202, 24, 78, 132, 186)(13, 67, 121, 175, 27, 81, 135, 189, 44, 98, 152, 206, 53, 107, 161, 215, 52, 106, 160, 214, 42, 96, 150, 204, 25, 79, 133, 187, 41, 95, 149, 203, 28, 82, 136, 190)
	L = (1, 56)(2, 55)(3, 61)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 58)(10, 75)(11, 59)(12, 79)(13, 60)(14, 83)(15, 77)(16, 81)(17, 62)(18, 84)(19, 78)(20, 82)(21, 64)(22, 80)(23, 69)(24, 73)(25, 66)(26, 76)(27, 70)(28, 74)(29, 68)(30, 72)(31, 95)(32, 99)(33, 93)(34, 98)(35, 101)(36, 96)(37, 94)(38, 103)(39, 87)(40, 91)(41, 85)(42, 90)(43, 105)(44, 88)(45, 86)(46, 107)(47, 89)(48, 108)(49, 92)(50, 106)(51, 97)(52, 104)(53, 100)(54, 102)(109, 164)(110, 163)(111, 169)(112, 171)(113, 173)(114, 175)(115, 165)(116, 179)(117, 166)(118, 183)(119, 167)(120, 187)(121, 168)(122, 191)(123, 185)(124, 189)(125, 170)(126, 192)(127, 186)(128, 190)(129, 172)(130, 188)(131, 177)(132, 181)(133, 174)(134, 184)(135, 178)(136, 182)(137, 176)(138, 180)(139, 203)(140, 207)(141, 201)(142, 206)(143, 209)(144, 204)(145, 202)(146, 211)(147, 195)(148, 199)(149, 193)(150, 198)(151, 213)(152, 196)(153, 194)(154, 215)(155, 197)(156, 216)(157, 200)(158, 214)(159, 205)(160, 212)(161, 208)(162, 210)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1048
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1055 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y3^2, (Y1 * Y2)^3, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^2, Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3^-1, Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 14, 68, 122, 176, 6, 60, 114, 168, 19, 73, 127, 181, 25, 79, 133, 187, 9, 63, 117, 171, 17, 71, 125, 179, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 11, 65, 119, 173, 3, 57, 111, 165, 10, 64, 118, 172, 27, 81, 135, 189, 18, 72, 126, 180, 24, 78, 132, 186, 8, 62, 116, 170)(12, 66, 120, 174, 29, 83, 137, 191, 32, 86, 140, 194, 13, 67, 121, 175, 31, 85, 139, 193, 52, 106, 160, 214, 38, 92, 146, 200, 51, 105, 159, 213, 30, 84, 138, 192)(15, 69, 123, 177, 34, 88, 142, 196, 37, 91, 145, 199, 16, 70, 124, 178, 36, 90, 144, 198, 54, 108, 162, 216, 33, 87, 141, 195, 53, 107, 161, 215, 35, 89, 143, 197)(20, 74, 128, 182, 39, 93, 147, 201, 42, 96, 150, 204, 21, 75, 129, 183, 41, 95, 149, 203, 48, 102, 156, 210, 26, 80, 134, 188, 47, 101, 155, 209, 40, 94, 148, 202)(22, 76, 130, 184, 43, 97, 151, 205, 46, 100, 154, 208, 23, 77, 131, 185, 45, 99, 153, 207, 50, 104, 158, 212, 28, 82, 136, 190, 49, 103, 157, 211, 44, 98, 152, 206)
	L = (1, 56)(2, 55)(3, 63)(4, 66)(5, 69)(6, 72)(7, 74)(8, 76)(9, 57)(10, 80)(11, 82)(12, 58)(13, 71)(14, 87)(15, 59)(16, 79)(17, 67)(18, 60)(19, 92)(20, 61)(21, 78)(22, 62)(23, 81)(24, 75)(25, 70)(26, 64)(27, 77)(28, 65)(29, 93)(30, 97)(31, 101)(32, 103)(33, 68)(34, 94)(35, 98)(36, 102)(37, 104)(38, 73)(39, 83)(40, 88)(41, 105)(42, 107)(43, 84)(44, 89)(45, 106)(46, 108)(47, 85)(48, 90)(49, 86)(50, 91)(51, 95)(52, 99)(53, 96)(54, 100)(109, 165)(110, 168)(111, 163)(112, 175)(113, 178)(114, 164)(115, 183)(116, 185)(117, 180)(118, 182)(119, 184)(120, 181)(121, 166)(122, 177)(123, 176)(124, 167)(125, 200)(126, 171)(127, 174)(128, 172)(129, 169)(130, 173)(131, 170)(132, 188)(133, 195)(134, 186)(135, 190)(136, 189)(137, 203)(138, 207)(139, 201)(140, 205)(141, 187)(142, 204)(143, 208)(144, 202)(145, 206)(146, 179)(147, 193)(148, 198)(149, 191)(150, 196)(151, 194)(152, 199)(153, 192)(154, 197)(155, 213)(156, 215)(157, 214)(158, 216)(159, 209)(160, 211)(161, 210)(162, 212)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1050
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1056 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y3^-2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^9, Y3^4 * Y1 * Y3^-4 * Y2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 14, 68, 122, 176, 30, 84, 138, 192, 44, 98, 152, 206, 47, 101, 155, 209, 33, 87, 141, 195, 17, 71, 125, 179, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 16, 70, 124, 178, 31, 85, 139, 193, 45, 99, 153, 207, 50, 104, 158, 212, 38, 92, 146, 200, 24, 78, 132, 186, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 27, 81, 135, 189, 41, 95, 149, 203, 53, 107, 161, 215, 42, 96, 150, 204, 28, 82, 136, 190, 12, 66, 120, 174, 11, 65, 119, 173)(6, 60, 114, 168, 19, 73, 127, 181, 35, 89, 143, 197, 48, 102, 156, 210, 52, 106, 160, 214, 40, 94, 148, 202, 36, 90, 144, 198, 21, 75, 129, 183, 20, 74, 128, 182)(9, 63, 117, 171, 22, 76, 130, 184, 23, 77, 131, 185, 34, 88, 142, 196, 37, 91, 145, 199, 49, 103, 157, 211, 51, 105, 159, 213, 39, 93, 147, 201, 26, 80, 134, 188)(13, 67, 121, 175, 15, 69, 123, 177, 25, 79, 133, 187, 32, 86, 140, 194, 46, 100, 154, 208, 54, 108, 162, 216, 43, 97, 151, 205, 29, 83, 137, 191, 18, 72, 126, 180)
	L = (1, 56)(2, 55)(3, 63)(4, 66)(5, 69)(6, 72)(7, 75)(8, 77)(9, 57)(10, 71)(11, 74)(12, 58)(13, 76)(14, 83)(15, 59)(16, 80)(17, 64)(18, 60)(19, 78)(20, 65)(21, 61)(22, 67)(23, 62)(24, 73)(25, 90)(26, 70)(27, 94)(28, 88)(29, 68)(30, 92)(31, 87)(32, 93)(33, 85)(34, 82)(35, 96)(36, 79)(37, 97)(38, 84)(39, 86)(40, 81)(41, 105)(42, 89)(43, 91)(44, 107)(45, 106)(46, 101)(47, 100)(48, 108)(49, 104)(50, 103)(51, 95)(52, 99)(53, 98)(54, 102)(109, 165)(110, 168)(111, 163)(112, 175)(113, 178)(114, 164)(115, 184)(116, 176)(117, 187)(118, 183)(119, 185)(120, 181)(121, 166)(122, 170)(123, 182)(124, 167)(125, 194)(126, 196)(127, 174)(128, 177)(129, 172)(130, 169)(131, 173)(132, 199)(133, 171)(134, 189)(135, 188)(136, 192)(137, 197)(138, 190)(139, 198)(140, 179)(141, 203)(142, 180)(143, 191)(144, 193)(145, 186)(146, 210)(147, 207)(148, 208)(149, 195)(150, 211)(151, 206)(152, 205)(153, 201)(154, 202)(155, 212)(156, 200)(157, 204)(158, 209)(159, 216)(160, 215)(161, 214)(162, 213)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1049
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1057 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (Y2, Y1), (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^-3 * Y1^-3, (Y3 * Y1 * Y2^-1)^2, Y1 * Y3 * Y2^2 * Y3 * Y1^-1 * Y2^2, Y1^9, Y2^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 9, 63, 117, 171)(3, 57, 111, 165, 12, 66, 120, 174)(5, 59, 113, 167, 14, 68, 122, 176)(6, 60, 114, 168, 15, 69, 123, 177)(7, 61, 115, 169, 21, 75, 129, 183)(8, 62, 116, 170, 24, 78, 132, 186)(10, 64, 118, 172, 25, 79, 133, 187)(11, 65, 119, 173, 28, 82, 136, 190)(13, 67, 121, 175, 30, 84, 138, 192)(16, 70, 124, 178, 32, 86, 140, 194)(17, 71, 125, 179, 33, 87, 141, 195)(18, 72, 126, 180, 34, 88, 142, 196)(19, 73, 127, 181, 36, 90, 144, 198)(20, 74, 128, 182, 38, 92, 146, 200)(22, 76, 130, 184, 39, 93, 147, 201)(23, 77, 131, 185, 41, 95, 149, 203)(26, 80, 134, 188, 42, 96, 150, 204)(27, 81, 135, 189, 44, 98, 152, 206)(29, 83, 137, 191, 46, 100, 154, 208)(31, 85, 139, 193, 48, 102, 156, 210)(35, 89, 143, 197, 49, 103, 157, 211)(37, 91, 145, 199, 50, 104, 158, 212)(40, 94, 148, 202, 51, 105, 159, 213)(43, 97, 151, 205, 52, 106, 160, 214)(45, 99, 153, 207, 53, 107, 161, 215)(47, 101, 155, 209, 54, 108, 162, 216)
	L = (1, 56)(2, 61)(3, 62)(4, 68)(5, 55)(6, 64)(7, 73)(8, 74)(9, 58)(10, 76)(11, 77)(12, 84)(13, 57)(14, 86)(15, 87)(16, 59)(17, 60)(18, 80)(19, 89)(20, 72)(21, 63)(22, 91)(23, 71)(24, 66)(25, 69)(26, 94)(27, 70)(28, 100)(29, 65)(30, 102)(31, 67)(32, 98)(33, 95)(34, 92)(35, 99)(36, 75)(37, 101)(38, 78)(39, 79)(40, 97)(41, 82)(42, 88)(43, 85)(44, 107)(45, 81)(46, 108)(47, 83)(48, 106)(49, 90)(50, 93)(51, 96)(52, 105)(53, 103)(54, 104)(109, 165)(110, 170)(111, 173)(112, 177)(113, 175)(114, 163)(115, 182)(116, 185)(117, 187)(118, 164)(119, 189)(120, 166)(121, 191)(122, 195)(123, 196)(124, 193)(125, 167)(126, 168)(127, 180)(128, 179)(129, 201)(130, 169)(131, 178)(132, 171)(133, 204)(134, 172)(135, 205)(136, 174)(137, 207)(138, 176)(139, 209)(140, 203)(141, 200)(142, 198)(143, 188)(144, 212)(145, 181)(146, 183)(147, 213)(148, 184)(149, 186)(150, 211)(151, 199)(152, 190)(153, 202)(154, 192)(155, 197)(156, 194)(157, 216)(158, 214)(159, 215)(160, 206)(161, 208)(162, 210)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.1051
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 39
	degree seq :: [ 8^27 ]

E22.1058 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = C6 x D18 (small group id <108, 23>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^2 * Y1^-1 * Y3 * Y2 * Y1^-2, Y2^2 * Y3 * Y1^-3 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182)(10, 64, 118, 172, 22, 76, 130, 184)(11, 65, 119, 173, 24, 78, 132, 186)(13, 67, 121, 175, 28, 82, 136, 190)(14, 68, 122, 176, 30, 84, 138, 192)(15, 69, 123, 177, 32, 86, 140, 194)(17, 71, 125, 179, 35, 89, 143, 197)(18, 72, 126, 180, 36, 90, 144, 198)(19, 73, 127, 181, 37, 91, 145, 199)(21, 75, 129, 183, 38, 92, 146, 200)(23, 77, 131, 185, 39, 93, 147, 201)(25, 79, 133, 187, 41, 95, 149, 203)(26, 80, 134, 188, 43, 97, 151, 205)(27, 81, 135, 189, 44, 98, 152, 206)(29, 83, 137, 191, 45, 99, 153, 207)(31, 85, 139, 193, 46, 100, 154, 208)(33, 87, 141, 195, 49, 103, 157, 211)(34, 88, 142, 196, 50, 104, 158, 212)(40, 94, 148, 202, 51, 105, 159, 213)(42, 96, 150, 204, 52, 106, 160, 214)(47, 101, 155, 209, 53, 107, 161, 215)(48, 102, 156, 210, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 73)(10, 58)(11, 77)(12, 79)(13, 81)(14, 60)(15, 61)(16, 87)(17, 88)(18, 62)(19, 86)(20, 82)(21, 64)(22, 84)(23, 85)(24, 75)(25, 72)(26, 66)(27, 70)(28, 95)(29, 68)(30, 97)(31, 69)(32, 101)(33, 102)(34, 100)(35, 74)(36, 76)(37, 98)(38, 99)(39, 83)(40, 78)(41, 92)(42, 80)(43, 105)(44, 90)(45, 106)(46, 96)(47, 94)(48, 93)(49, 89)(50, 91)(51, 108)(52, 107)(53, 103)(54, 104)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 177)(116, 180)(117, 166)(118, 183)(119, 167)(120, 188)(121, 168)(122, 191)(123, 193)(124, 189)(125, 170)(126, 187)(127, 171)(128, 197)(129, 186)(130, 198)(131, 173)(132, 202)(133, 174)(134, 204)(135, 175)(136, 182)(137, 201)(138, 184)(139, 185)(140, 181)(141, 178)(142, 179)(143, 211)(144, 206)(145, 212)(146, 203)(147, 210)(148, 209)(149, 190)(150, 208)(151, 192)(152, 199)(153, 200)(154, 196)(155, 194)(156, 195)(157, 215)(158, 216)(159, 205)(160, 207)(161, 214)(162, 213)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.1052
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 39
	degree seq :: [ 8^27 ]

E22.1059 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 10, 64)(5, 59, 9, 63)(6, 60, 8, 62)(11, 65, 17, 71)(12, 66, 19, 73)(13, 67, 18, 72)(14, 68, 22, 76)(15, 69, 21, 75)(16, 70, 20, 74)(23, 77, 29, 83)(24, 78, 31, 85)(25, 79, 30, 84)(26, 80, 34, 88)(27, 81, 33, 87)(28, 82, 32, 86)(35, 89, 41, 95)(36, 90, 43, 97)(37, 91, 42, 96)(38, 92, 46, 100)(39, 93, 45, 99)(40, 94, 44, 98)(47, 101, 52, 106)(48, 102, 51, 105)(49, 103, 54, 108)(50, 104, 53, 107)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 147, 201, 135, 189, 123, 177, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 153, 207, 141, 195, 129, 183, 117, 171)(112, 166, 120, 174, 132, 186, 144, 198, 155, 209, 157, 211, 146, 200, 134, 188, 122, 176)(114, 168, 121, 175, 133, 187, 145, 199, 156, 210, 158, 212, 148, 202, 136, 190, 124, 178)(116, 170, 126, 180, 138, 192, 150, 204, 159, 213, 161, 215, 152, 206, 140, 194, 128, 182)(118, 172, 127, 181, 139, 193, 151, 205, 160, 214, 162, 216, 154, 208, 142, 196, 130, 184)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 122)(6, 109)(7, 126)(8, 118)(9, 128)(10, 110)(11, 132)(12, 121)(13, 111)(14, 124)(15, 134)(16, 113)(17, 138)(18, 127)(19, 115)(20, 130)(21, 140)(22, 117)(23, 144)(24, 133)(25, 119)(26, 136)(27, 146)(28, 123)(29, 150)(30, 139)(31, 125)(32, 142)(33, 152)(34, 129)(35, 155)(36, 145)(37, 131)(38, 148)(39, 157)(40, 135)(41, 159)(42, 151)(43, 137)(44, 154)(45, 161)(46, 141)(47, 156)(48, 143)(49, 158)(50, 147)(51, 160)(52, 149)(53, 162)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1064
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1060 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 9, 63)(5, 59, 11, 65)(6, 60, 13, 67)(8, 62, 17, 71)(10, 64, 21, 75)(12, 66, 25, 79)(14, 68, 29, 83)(15, 69, 23, 77)(16, 70, 27, 81)(18, 72, 26, 80)(19, 73, 24, 78)(20, 74, 28, 82)(22, 76, 30, 84)(31, 85, 41, 95)(32, 86, 40, 94)(33, 87, 39, 93)(34, 88, 42, 96)(35, 89, 47, 101)(36, 90, 45, 99)(37, 91, 44, 98)(38, 92, 49, 103)(43, 97, 51, 105)(46, 100, 53, 107)(48, 102, 52, 106)(50, 104, 54, 108)(109, 163, 111, 165, 116, 170, 126, 180, 143, 197, 146, 200, 130, 184, 118, 172, 112, 166)(110, 164, 113, 167, 120, 174, 134, 188, 151, 205, 154, 208, 138, 192, 122, 176, 114, 168)(115, 169, 123, 177, 139, 193, 155, 209, 158, 212, 145, 199, 129, 183, 140, 194, 124, 178)(117, 171, 127, 181, 142, 196, 125, 179, 141, 195, 156, 210, 157, 211, 144, 198, 128, 182)(119, 173, 131, 185, 147, 201, 159, 213, 162, 216, 153, 207, 137, 191, 148, 202, 132, 186)(121, 175, 135, 189, 150, 204, 133, 187, 149, 203, 160, 214, 161, 215, 152, 206, 136, 190)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1061 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1 * Y2^-1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^9, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 55, 2, 56)(3, 57, 7, 61)(4, 58, 9, 63)(5, 59, 11, 65)(6, 60, 13, 67)(8, 62, 17, 71)(10, 64, 21, 75)(12, 66, 25, 79)(14, 68, 29, 83)(15, 69, 23, 77)(16, 70, 27, 81)(18, 72, 30, 84)(19, 73, 24, 78)(20, 74, 28, 82)(22, 76, 26, 80)(31, 85, 41, 95)(32, 86, 45, 99)(33, 87, 39, 93)(34, 88, 44, 98)(35, 89, 47, 101)(36, 90, 42, 96)(37, 91, 40, 94)(38, 92, 49, 103)(43, 97, 51, 105)(46, 100, 53, 107)(48, 102, 54, 108)(50, 104, 52, 106)(109, 163, 111, 165, 116, 170, 126, 180, 143, 197, 146, 200, 130, 184, 118, 172, 112, 166)(110, 164, 113, 167, 120, 174, 134, 188, 151, 205, 154, 208, 138, 192, 122, 176, 114, 168)(115, 169, 123, 177, 139, 193, 129, 183, 145, 199, 158, 212, 155, 209, 140, 194, 124, 178)(117, 171, 127, 181, 144, 198, 157, 211, 156, 210, 142, 196, 125, 179, 141, 195, 128, 182)(119, 173, 131, 185, 147, 201, 137, 191, 153, 207, 162, 216, 159, 213, 148, 202, 132, 186)(121, 175, 135, 189, 152, 206, 161, 215, 160, 214, 150, 204, 133, 187, 149, 203, 136, 190)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1062 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y3 * Y2^-3, (Y3, Y2), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 15, 69)(6, 60, 8, 62)(7, 61, 17, 71)(9, 63, 21, 75)(12, 66, 27, 81)(13, 67, 26, 80)(14, 68, 24, 78)(16, 70, 29, 83)(18, 72, 35, 89)(19, 73, 34, 88)(20, 74, 32, 86)(22, 76, 37, 91)(23, 77, 31, 85)(25, 79, 36, 90)(28, 82, 33, 87)(30, 84, 38, 92)(39, 93, 51, 105)(40, 94, 49, 103)(41, 95, 48, 102)(42, 96, 54, 108)(43, 97, 47, 101)(44, 98, 53, 107)(45, 99, 52, 106)(46, 100, 50, 104)(109, 163, 111, 165, 120, 174, 112, 166, 121, 175, 124, 178, 114, 168, 122, 176, 113, 167)(110, 164, 115, 169, 126, 180, 116, 170, 127, 181, 130, 184, 118, 172, 128, 182, 117, 171)(119, 173, 131, 185, 147, 201, 132, 186, 148, 202, 150, 204, 134, 188, 149, 203, 133, 187)(123, 177, 136, 190, 153, 207, 137, 191, 154, 208, 152, 206, 135, 189, 151, 205, 138, 192)(125, 179, 139, 193, 155, 209, 140, 194, 156, 210, 158, 212, 142, 196, 157, 211, 141, 195)(129, 183, 144, 198, 161, 215, 145, 199, 162, 216, 160, 214, 143, 197, 159, 213, 146, 200)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 120)(6, 109)(7, 127)(8, 118)(9, 126)(10, 110)(11, 132)(12, 124)(13, 122)(14, 111)(15, 137)(16, 113)(17, 140)(18, 130)(19, 128)(20, 115)(21, 145)(22, 117)(23, 148)(24, 134)(25, 147)(26, 119)(27, 123)(28, 154)(29, 135)(30, 153)(31, 156)(32, 142)(33, 155)(34, 125)(35, 129)(36, 162)(37, 143)(38, 161)(39, 150)(40, 149)(41, 131)(42, 133)(43, 136)(44, 138)(45, 152)(46, 151)(47, 158)(48, 157)(49, 139)(50, 141)(51, 144)(52, 146)(53, 160)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1063
Graph:: bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1063 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2, Y3^-1), Y2^-3 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 17, 71)(9, 63, 22, 76)(12, 66, 27, 81)(13, 67, 26, 80)(14, 68, 24, 78)(15, 69, 28, 82)(18, 72, 35, 89)(19, 73, 34, 88)(20, 74, 32, 86)(21, 75, 36, 90)(23, 77, 31, 85)(25, 79, 37, 91)(29, 83, 33, 87)(30, 84, 38, 92)(39, 93, 51, 105)(40, 94, 49, 103)(41, 95, 48, 102)(42, 96, 53, 107)(43, 97, 47, 101)(44, 98, 54, 108)(45, 99, 50, 104)(46, 100, 52, 106)(109, 163, 111, 165, 120, 174, 114, 168, 122, 176, 123, 177, 112, 166, 121, 175, 113, 167)(110, 164, 115, 169, 126, 180, 118, 172, 128, 182, 129, 183, 116, 170, 127, 181, 117, 171)(119, 173, 131, 185, 147, 201, 134, 188, 149, 203, 150, 204, 132, 186, 148, 202, 133, 187)(124, 178, 137, 191, 154, 208, 136, 190, 153, 207, 152, 206, 135, 189, 151, 205, 138, 192)(125, 179, 139, 193, 155, 209, 142, 196, 157, 211, 158, 212, 140, 194, 156, 210, 141, 195)(130, 184, 145, 199, 162, 216, 144, 198, 161, 215, 160, 214, 143, 197, 159, 213, 146, 200)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 123)(6, 109)(7, 127)(8, 118)(9, 129)(10, 110)(11, 132)(12, 113)(13, 122)(14, 111)(15, 120)(16, 135)(17, 140)(18, 117)(19, 128)(20, 115)(21, 126)(22, 143)(23, 148)(24, 134)(25, 150)(26, 119)(27, 136)(28, 124)(29, 151)(30, 152)(31, 156)(32, 142)(33, 158)(34, 125)(35, 144)(36, 130)(37, 159)(38, 160)(39, 133)(40, 149)(41, 131)(42, 147)(43, 153)(44, 154)(45, 137)(46, 138)(47, 141)(48, 157)(49, 139)(50, 155)(51, 161)(52, 162)(53, 145)(54, 146)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1062
Graph:: bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1064 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (Y3, Y2^-1), (Y1 * Y3^-1)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 13, 67)(9, 63, 18, 72)(12, 66, 24, 78)(14, 68, 20, 74)(15, 69, 21, 75)(17, 71, 30, 84)(19, 73, 27, 81)(22, 76, 28, 82)(23, 77, 26, 80)(25, 79, 33, 87)(29, 83, 32, 86)(31, 85, 34, 88)(35, 89, 39, 93)(36, 90, 38, 92)(37, 91, 47, 101)(40, 94, 41, 95)(42, 96, 44, 98)(43, 97, 52, 106)(45, 99, 49, 103)(46, 100, 54, 108)(48, 102, 50, 104)(51, 105, 53, 107)(109, 163, 111, 165, 120, 174, 133, 187, 145, 199, 151, 205, 139, 193, 125, 179, 113, 167)(110, 164, 115, 169, 127, 181, 141, 195, 153, 207, 154, 208, 142, 196, 130, 184, 117, 171)(112, 166, 121, 175, 134, 188, 146, 200, 157, 211, 159, 213, 148, 202, 136, 190, 123, 177)(114, 168, 122, 176, 135, 189, 147, 201, 158, 212, 162, 216, 152, 206, 140, 194, 126, 180)(116, 170, 119, 173, 131, 185, 143, 197, 155, 209, 161, 215, 150, 204, 138, 192, 129, 183)(118, 172, 128, 182, 132, 186, 144, 198, 156, 210, 160, 214, 149, 203, 137, 191, 124, 178)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 123)(6, 109)(7, 119)(8, 118)(9, 129)(10, 110)(11, 128)(12, 134)(13, 122)(14, 111)(15, 126)(16, 117)(17, 136)(18, 113)(19, 131)(20, 115)(21, 124)(22, 138)(23, 132)(24, 127)(25, 146)(26, 135)(27, 120)(28, 140)(29, 130)(30, 137)(31, 148)(32, 125)(33, 143)(34, 150)(35, 144)(36, 141)(37, 157)(38, 147)(39, 133)(40, 152)(41, 142)(42, 149)(43, 159)(44, 139)(45, 155)(46, 161)(47, 156)(48, 153)(49, 158)(50, 145)(51, 162)(52, 154)(53, 160)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1059
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1065 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y3^-1, Y2), (R * Y2)^2, (R * Y3)^2, (Y1 * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 16, 70)(6, 60, 8, 62)(7, 61, 14, 68)(9, 63, 15, 69)(12, 66, 24, 78)(13, 67, 20, 74)(17, 71, 30, 84)(18, 72, 22, 76)(19, 73, 26, 80)(21, 75, 32, 86)(23, 77, 27, 81)(25, 79, 33, 87)(28, 82, 29, 83)(31, 85, 34, 88)(35, 89, 38, 92)(36, 90, 39, 93)(37, 91, 47, 101)(40, 94, 42, 96)(41, 95, 44, 98)(43, 97, 52, 106)(45, 99, 50, 104)(46, 100, 51, 105)(48, 102, 49, 103)(53, 107, 54, 108)(109, 163, 111, 165, 120, 174, 133, 187, 145, 199, 151, 205, 139, 193, 125, 179, 113, 167)(110, 164, 115, 169, 127, 181, 141, 195, 153, 207, 154, 208, 142, 196, 129, 183, 117, 171)(112, 166, 121, 175, 134, 188, 146, 200, 157, 211, 159, 213, 148, 202, 136, 190, 123, 177)(114, 168, 122, 176, 135, 189, 147, 201, 158, 212, 162, 216, 152, 206, 140, 194, 126, 180)(116, 170, 128, 182, 132, 186, 144, 198, 156, 210, 160, 214, 149, 203, 137, 191, 124, 178)(118, 172, 119, 173, 131, 185, 143, 197, 155, 209, 161, 215, 150, 204, 138, 192, 130, 184)
	L = (1, 112)(2, 116)(3, 121)(4, 114)(5, 123)(6, 109)(7, 128)(8, 118)(9, 124)(10, 110)(11, 115)(12, 134)(13, 122)(14, 111)(15, 126)(16, 130)(17, 136)(18, 113)(19, 132)(20, 119)(21, 137)(22, 117)(23, 127)(24, 131)(25, 146)(26, 135)(27, 120)(28, 140)(29, 138)(30, 129)(31, 148)(32, 125)(33, 144)(34, 149)(35, 141)(36, 143)(37, 157)(38, 147)(39, 133)(40, 152)(41, 150)(42, 142)(43, 159)(44, 139)(45, 156)(46, 160)(47, 153)(48, 155)(49, 158)(50, 145)(51, 162)(52, 161)(53, 154)(54, 151)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2 * Y1 * Y3^-2 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1 * Y2^2 * Y1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-2, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 27, 81)(12, 66, 26, 80)(13, 67, 23, 77)(14, 68, 28, 82)(15, 69, 30, 84)(16, 70, 22, 76)(18, 72, 24, 78)(19, 73, 29, 83)(20, 74, 25, 79)(31, 85, 40, 94)(32, 86, 41, 95)(33, 87, 42, 96)(34, 88, 37, 91)(35, 89, 38, 92)(36, 90, 39, 93)(43, 97, 54, 108)(44, 98, 52, 106)(45, 99, 53, 107)(46, 100, 50, 104)(47, 101, 51, 105)(48, 102, 49, 103)(109, 163, 111, 165, 120, 174, 139, 193, 151, 205, 155, 209, 142, 196, 126, 180, 113, 167)(110, 164, 115, 169, 130, 184, 145, 199, 157, 211, 161, 215, 148, 202, 136, 190, 117, 171)(112, 166, 121, 175, 135, 189, 128, 182, 141, 195, 153, 207, 154, 208, 144, 198, 124, 178)(114, 168, 122, 176, 140, 194, 152, 206, 156, 210, 143, 197, 123, 177, 129, 183, 127, 181)(116, 170, 131, 185, 125, 179, 138, 192, 147, 201, 159, 213, 160, 214, 150, 204, 134, 188)(118, 172, 132, 186, 146, 200, 158, 212, 162, 216, 149, 203, 133, 187, 119, 173, 137, 191)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 124)(6, 109)(7, 131)(8, 133)(9, 134)(10, 110)(11, 136)(12, 135)(13, 129)(14, 111)(15, 142)(16, 143)(17, 137)(18, 144)(19, 113)(20, 114)(21, 126)(22, 125)(23, 119)(24, 115)(25, 148)(26, 149)(27, 127)(28, 150)(29, 117)(30, 118)(31, 128)(32, 120)(33, 122)(34, 154)(35, 155)(36, 156)(37, 138)(38, 130)(39, 132)(40, 160)(41, 161)(42, 162)(43, 141)(44, 139)(45, 140)(46, 152)(47, 153)(48, 151)(49, 147)(50, 145)(51, 146)(52, 158)(53, 159)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1068
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2^-1, Y2^3 * Y3^3, Y3^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 14, 68)(9, 63, 16, 70)(12, 66, 29, 83)(13, 67, 28, 82)(15, 69, 26, 80)(18, 72, 40, 94)(19, 73, 38, 92)(20, 74, 23, 77)(21, 75, 41, 95)(22, 76, 34, 88)(24, 78, 46, 100)(25, 79, 36, 90)(27, 81, 32, 86)(30, 84, 45, 99)(31, 85, 50, 104)(33, 87, 48, 102)(35, 89, 42, 96)(37, 91, 39, 93)(43, 97, 54, 108)(44, 98, 51, 105)(47, 101, 53, 107)(49, 103, 52, 106)(109, 163, 111, 165, 120, 174, 138, 192, 159, 213, 162, 216, 143, 197, 126, 180, 113, 167)(110, 164, 115, 169, 129, 183, 150, 204, 156, 210, 158, 212, 153, 207, 132, 186, 117, 171)(112, 166, 121, 175, 139, 193, 128, 182, 142, 196, 149, 203, 161, 215, 145, 199, 124, 178)(114, 168, 122, 176, 140, 194, 160, 214, 154, 208, 144, 198, 123, 177, 141, 195, 127, 181)(116, 170, 130, 184, 151, 205, 134, 188, 136, 190, 137, 191, 157, 211, 147, 201, 125, 179)(118, 172, 119, 173, 135, 189, 155, 209, 148, 202, 146, 200, 131, 185, 152, 206, 133, 187)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 124)(6, 109)(7, 130)(8, 131)(9, 125)(10, 110)(11, 115)(12, 139)(13, 141)(14, 111)(15, 143)(16, 144)(17, 146)(18, 145)(19, 113)(20, 114)(21, 151)(22, 152)(23, 153)(24, 147)(25, 117)(26, 118)(27, 129)(28, 119)(29, 135)(30, 128)(31, 127)(32, 120)(33, 126)(34, 122)(35, 161)(36, 162)(37, 154)(38, 158)(39, 148)(40, 156)(41, 140)(42, 134)(43, 133)(44, 132)(45, 157)(46, 159)(47, 150)(48, 136)(49, 155)(50, 137)(51, 142)(52, 138)(53, 160)(54, 149)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = C3 x D18 (small group id <54, 3>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y2)^2, Y3^-3 * Y2^-3, Y1 * Y2^-2 * Y3^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 11, 65)(4, 58, 10, 64)(5, 59, 17, 71)(6, 60, 8, 62)(7, 61, 21, 75)(9, 63, 27, 81)(12, 66, 35, 89)(13, 67, 34, 88)(14, 68, 32, 86)(15, 69, 30, 84)(16, 70, 43, 97)(18, 72, 48, 102)(19, 73, 46, 100)(20, 74, 25, 79)(22, 76, 37, 91)(23, 77, 44, 98)(24, 78, 49, 103)(26, 80, 53, 107)(28, 82, 39, 93)(29, 83, 38, 92)(31, 85, 42, 96)(33, 87, 54, 108)(36, 90, 52, 106)(40, 94, 47, 101)(41, 95, 51, 105)(45, 99, 50, 104)(109, 163, 111, 165, 120, 174, 144, 198, 157, 211, 161, 215, 149, 203, 126, 180, 113, 167)(110, 164, 115, 169, 130, 184, 159, 213, 140, 194, 151, 205, 160, 214, 136, 190, 117, 171)(112, 166, 121, 175, 145, 199, 128, 182, 148, 202, 135, 189, 162, 216, 152, 206, 124, 178)(114, 168, 122, 176, 146, 200, 158, 212, 129, 183, 150, 204, 123, 177, 147, 201, 127, 181)(116, 170, 131, 185, 143, 197, 138, 192, 155, 209, 125, 179, 153, 207, 142, 196, 134, 188)(118, 172, 132, 186, 154, 208, 141, 195, 119, 173, 139, 193, 133, 187, 156, 210, 137, 191)
	L = (1, 112)(2, 116)(3, 121)(4, 123)(5, 124)(6, 109)(7, 131)(8, 133)(9, 134)(10, 110)(11, 140)(12, 145)(13, 147)(14, 111)(15, 149)(16, 150)(17, 154)(18, 152)(19, 113)(20, 114)(21, 157)(22, 143)(23, 156)(24, 115)(25, 160)(26, 139)(27, 146)(28, 142)(29, 117)(30, 118)(31, 151)(32, 155)(33, 159)(34, 119)(35, 137)(36, 128)(37, 127)(38, 120)(39, 126)(40, 122)(41, 162)(42, 161)(43, 125)(44, 129)(45, 141)(46, 130)(47, 132)(48, 136)(49, 148)(50, 144)(51, 138)(52, 153)(53, 135)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1066
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1069 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = C18 x S3 (small group id <108, 24>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^3 * Y3 * Y2^-3, Y2^9, Y1^9 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 16, 70)(9, 63, 20, 74)(10, 64, 22, 76)(11, 65, 24, 78)(13, 67, 28, 82)(14, 68, 30, 84)(15, 69, 32, 86)(17, 71, 34, 88)(18, 72, 36, 90)(19, 73, 37, 91)(21, 75, 38, 92)(23, 77, 39, 93)(25, 79, 42, 96)(26, 80, 43, 97)(27, 81, 44, 98)(29, 83, 45, 99)(31, 85, 46, 100)(33, 87, 49, 103)(35, 89, 50, 104)(40, 94, 51, 105)(41, 95, 52, 106)(47, 101, 53, 107)(48, 102, 54, 108)(109, 110, 113, 119, 131, 139, 123, 115, 111)(112, 117, 127, 132, 148, 155, 140, 129, 118)(114, 121, 135, 147, 156, 141, 124, 137, 122)(116, 125, 134, 120, 133, 149, 154, 143, 126)(128, 136, 150, 159, 162, 158, 146, 153, 142)(130, 138, 151, 145, 152, 160, 161, 157, 144)(163, 165, 169, 177, 193, 185, 173, 167, 164)(166, 172, 183, 194, 209, 202, 186, 181, 171)(168, 176, 191, 178, 195, 210, 201, 189, 175)(170, 180, 197, 208, 203, 187, 174, 188, 179)(182, 196, 207, 200, 212, 216, 213, 204, 190)(184, 198, 211, 215, 214, 206, 199, 205, 192)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E22.1070
Graph:: simple bipartite
	v = 39 e = 108 f = 27
	degree seq :: [ 4^27, 9^12 ]

E22.1070 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = C18 x S3 (small group id <108, 24>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2^3 * Y3 * Y2^-3, Y2^9, Y1^9 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182)(10, 64, 118, 172, 22, 76, 130, 184)(11, 65, 119, 173, 24, 78, 132, 186)(13, 67, 121, 175, 28, 82, 136, 190)(14, 68, 122, 176, 30, 84, 138, 192)(15, 69, 123, 177, 32, 86, 140, 194)(17, 71, 125, 179, 34, 88, 142, 196)(18, 72, 126, 180, 36, 90, 144, 198)(19, 73, 127, 181, 37, 91, 145, 199)(21, 75, 129, 183, 38, 92, 146, 200)(23, 77, 131, 185, 39, 93, 147, 201)(25, 79, 133, 187, 42, 96, 150, 204)(26, 80, 134, 188, 43, 97, 151, 205)(27, 81, 135, 189, 44, 98, 152, 206)(29, 83, 137, 191, 45, 99, 153, 207)(31, 85, 139, 193, 46, 100, 154, 208)(33, 87, 141, 195, 49, 103, 157, 211)(35, 89, 143, 197, 50, 104, 158, 212)(40, 94, 148, 202, 51, 105, 159, 213)(41, 95, 149, 203, 52, 106, 160, 214)(47, 101, 155, 209, 53, 107, 161, 215)(48, 102, 156, 210, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 73)(10, 58)(11, 77)(12, 79)(13, 81)(14, 60)(15, 61)(16, 83)(17, 80)(18, 62)(19, 78)(20, 82)(21, 64)(22, 84)(23, 85)(24, 94)(25, 95)(26, 66)(27, 93)(28, 96)(29, 68)(30, 97)(31, 69)(32, 75)(33, 70)(34, 74)(35, 72)(36, 76)(37, 98)(38, 99)(39, 102)(40, 101)(41, 100)(42, 105)(43, 91)(44, 106)(45, 88)(46, 89)(47, 86)(48, 87)(49, 90)(50, 92)(51, 108)(52, 107)(53, 103)(54, 104)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 177)(116, 180)(117, 166)(118, 183)(119, 167)(120, 188)(121, 168)(122, 191)(123, 193)(124, 195)(125, 170)(126, 197)(127, 171)(128, 196)(129, 194)(130, 198)(131, 173)(132, 181)(133, 174)(134, 179)(135, 175)(136, 182)(137, 178)(138, 184)(139, 185)(140, 209)(141, 210)(142, 207)(143, 208)(144, 211)(145, 205)(146, 212)(147, 189)(148, 186)(149, 187)(150, 190)(151, 192)(152, 199)(153, 200)(154, 203)(155, 202)(156, 201)(157, 215)(158, 216)(159, 204)(160, 206)(161, 214)(162, 213)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.1069
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 39
	degree seq :: [ 8^27 ]

E22.1071 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y2^-1 * Y3 * Y2^-2 * Y1 * Y3 * Y1, Y2^2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 16, 70)(9, 63, 20, 74)(10, 64, 22, 76)(11, 65, 24, 78)(13, 67, 28, 82)(14, 68, 30, 84)(15, 69, 32, 86)(17, 71, 35, 89)(18, 72, 36, 90)(19, 73, 37, 91)(21, 75, 40, 94)(23, 77, 43, 97)(25, 79, 39, 93)(26, 80, 46, 100)(27, 81, 47, 101)(29, 83, 48, 102)(31, 85, 49, 103)(33, 87, 38, 92)(34, 88, 42, 96)(41, 95, 51, 105)(44, 98, 53, 107)(45, 99, 54, 108)(50, 104, 52, 106)(109, 110, 113, 119, 131, 139, 123, 115, 111)(112, 117, 127, 140, 158, 152, 132, 129, 118)(114, 121, 135, 124, 141, 159, 151, 137, 122)(116, 125, 142, 157, 153, 134, 120, 133, 126)(128, 146, 162, 148, 136, 143, 160, 156, 147)(130, 149, 144, 161, 155, 154, 145, 138, 150)(163, 165, 169, 177, 193, 185, 173, 167, 164)(166, 172, 183, 186, 206, 212, 194, 181, 171)(168, 176, 191, 205, 213, 195, 178, 189, 175)(170, 180, 187, 174, 188, 207, 211, 196, 179)(182, 201, 210, 214, 197, 190, 202, 216, 200)(184, 204, 192, 199, 208, 209, 215, 198, 203)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E22.1074
Graph:: simple bipartite
	v = 39 e = 108 f = 27
	degree seq :: [ 4^27, 9^12 ]

E22.1072 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^3 * Y3 * Y2^-3, Y2^9, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y1^9, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 4, 58)(2, 56, 6, 60)(3, 57, 8, 62)(5, 59, 12, 66)(7, 61, 16, 70)(9, 63, 20, 74)(10, 64, 22, 76)(11, 65, 24, 78)(13, 67, 28, 82)(14, 68, 30, 84)(15, 69, 32, 86)(17, 71, 35, 89)(18, 72, 36, 90)(19, 73, 37, 91)(21, 75, 40, 94)(23, 77, 43, 97)(25, 79, 45, 99)(26, 80, 42, 96)(27, 81, 41, 95)(29, 83, 38, 92)(31, 85, 49, 103)(33, 87, 52, 106)(34, 88, 53, 107)(39, 93, 46, 100)(44, 98, 48, 102)(47, 101, 50, 104)(51, 105, 54, 108)(109, 110, 113, 119, 131, 139, 123, 115, 111)(112, 117, 127, 140, 158, 152, 132, 129, 118)(114, 121, 135, 124, 141, 159, 151, 137, 122)(116, 125, 142, 157, 154, 134, 120, 133, 126)(128, 146, 143, 148, 160, 153, 155, 136, 147)(130, 149, 161, 156, 138, 144, 145, 162, 150)(163, 165, 169, 177, 193, 185, 173, 167, 164)(166, 172, 183, 186, 206, 212, 194, 181, 171)(168, 176, 191, 205, 213, 195, 178, 189, 175)(170, 180, 187, 174, 188, 208, 211, 196, 179)(182, 201, 190, 209, 207, 214, 202, 197, 200)(184, 204, 216, 199, 198, 192, 210, 215, 203)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 8^4 ), ( 8^9 ) }
Outer automorphisms :: reflexible
Dual of E22.1073
Graph:: simple bipartite
	v = 39 e = 108 f = 27
	degree seq :: [ 4^27, 9^12 ]

E22.1073 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y1 * Y2^-1 * Y3 * Y2^-2 * Y1 * Y3 * Y1, Y2^2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182)(10, 64, 118, 172, 22, 76, 130, 184)(11, 65, 119, 173, 24, 78, 132, 186)(13, 67, 121, 175, 28, 82, 136, 190)(14, 68, 122, 176, 30, 84, 138, 192)(15, 69, 123, 177, 32, 86, 140, 194)(17, 71, 125, 179, 35, 89, 143, 197)(18, 72, 126, 180, 36, 90, 144, 198)(19, 73, 127, 181, 37, 91, 145, 199)(21, 75, 129, 183, 40, 94, 148, 202)(23, 77, 131, 185, 43, 97, 151, 205)(25, 79, 133, 187, 39, 93, 147, 201)(26, 80, 134, 188, 46, 100, 154, 208)(27, 81, 135, 189, 47, 101, 155, 209)(29, 83, 137, 191, 48, 102, 156, 210)(31, 85, 139, 193, 49, 103, 157, 211)(33, 87, 141, 195, 38, 92, 146, 200)(34, 88, 142, 196, 42, 96, 150, 204)(41, 95, 149, 203, 51, 105, 159, 213)(44, 98, 152, 206, 53, 107, 161, 215)(45, 99, 153, 207, 54, 108, 162, 216)(50, 104, 158, 212, 52, 106, 160, 214)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 73)(10, 58)(11, 77)(12, 79)(13, 81)(14, 60)(15, 61)(16, 87)(17, 88)(18, 62)(19, 86)(20, 92)(21, 64)(22, 95)(23, 85)(24, 75)(25, 72)(26, 66)(27, 70)(28, 89)(29, 68)(30, 96)(31, 69)(32, 104)(33, 105)(34, 103)(35, 106)(36, 107)(37, 84)(38, 108)(39, 74)(40, 82)(41, 90)(42, 76)(43, 83)(44, 78)(45, 80)(46, 91)(47, 100)(48, 93)(49, 99)(50, 98)(51, 97)(52, 102)(53, 101)(54, 94)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 177)(116, 180)(117, 166)(118, 183)(119, 167)(120, 188)(121, 168)(122, 191)(123, 193)(124, 189)(125, 170)(126, 187)(127, 171)(128, 201)(129, 186)(130, 204)(131, 173)(132, 206)(133, 174)(134, 207)(135, 175)(136, 202)(137, 205)(138, 199)(139, 185)(140, 181)(141, 178)(142, 179)(143, 190)(144, 203)(145, 208)(146, 182)(147, 210)(148, 216)(149, 184)(150, 192)(151, 213)(152, 212)(153, 211)(154, 209)(155, 215)(156, 214)(157, 196)(158, 194)(159, 195)(160, 197)(161, 198)(162, 200)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.1072
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 39
	degree seq :: [ 8^27 ]

E22.1074 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = (C9 : C3) : C2 (small group id <54, 6>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^2 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^3 * Y3 * Y2^-3, Y2^9, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3, Y1^9, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 55, 109, 163, 4, 58, 112, 166)(2, 56, 110, 164, 6, 60, 114, 168)(3, 57, 111, 165, 8, 62, 116, 170)(5, 59, 113, 167, 12, 66, 120, 174)(7, 61, 115, 169, 16, 70, 124, 178)(9, 63, 117, 171, 20, 74, 128, 182)(10, 64, 118, 172, 22, 76, 130, 184)(11, 65, 119, 173, 24, 78, 132, 186)(13, 67, 121, 175, 28, 82, 136, 190)(14, 68, 122, 176, 30, 84, 138, 192)(15, 69, 123, 177, 32, 86, 140, 194)(17, 71, 125, 179, 35, 89, 143, 197)(18, 72, 126, 180, 36, 90, 144, 198)(19, 73, 127, 181, 37, 91, 145, 199)(21, 75, 129, 183, 40, 94, 148, 202)(23, 77, 131, 185, 43, 97, 151, 205)(25, 79, 133, 187, 45, 99, 153, 207)(26, 80, 134, 188, 42, 96, 150, 204)(27, 81, 135, 189, 41, 95, 149, 203)(29, 83, 137, 191, 38, 92, 146, 200)(31, 85, 139, 193, 49, 103, 157, 211)(33, 87, 141, 195, 52, 106, 160, 214)(34, 88, 142, 196, 53, 107, 161, 215)(39, 93, 147, 201, 46, 100, 154, 208)(44, 98, 152, 206, 48, 102, 156, 210)(47, 101, 155, 209, 50, 104, 158, 212)(51, 105, 159, 213, 54, 108, 162, 216)
	L = (1, 56)(2, 59)(3, 55)(4, 63)(5, 65)(6, 67)(7, 57)(8, 71)(9, 73)(10, 58)(11, 77)(12, 79)(13, 81)(14, 60)(15, 61)(16, 87)(17, 88)(18, 62)(19, 86)(20, 92)(21, 64)(22, 95)(23, 85)(24, 75)(25, 72)(26, 66)(27, 70)(28, 93)(29, 68)(30, 90)(31, 69)(32, 104)(33, 105)(34, 103)(35, 94)(36, 91)(37, 108)(38, 89)(39, 74)(40, 106)(41, 107)(42, 76)(43, 83)(44, 78)(45, 101)(46, 80)(47, 82)(48, 84)(49, 100)(50, 98)(51, 97)(52, 99)(53, 102)(54, 96)(109, 165)(110, 163)(111, 169)(112, 172)(113, 164)(114, 176)(115, 177)(116, 180)(117, 166)(118, 183)(119, 167)(120, 188)(121, 168)(122, 191)(123, 193)(124, 189)(125, 170)(126, 187)(127, 171)(128, 201)(129, 186)(130, 204)(131, 173)(132, 206)(133, 174)(134, 208)(135, 175)(136, 209)(137, 205)(138, 210)(139, 185)(140, 181)(141, 178)(142, 179)(143, 200)(144, 192)(145, 198)(146, 182)(147, 190)(148, 197)(149, 184)(150, 216)(151, 213)(152, 212)(153, 214)(154, 211)(155, 207)(156, 215)(157, 196)(158, 194)(159, 195)(160, 202)(161, 203)(162, 199)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.1071
Transitivity :: VT+
Graph::
	v = 27 e = 108 f = 39
	degree seq :: [ 8^27 ]

E22.1075 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: halfedge^2
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y2)^3, Y1^9, 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^-3 ]
Map:: non-degenerate
	R = (1, 56, 2, 60, 6, 68, 14, 79, 25, 90, 36, 78, 24, 67, 13, 59, 5, 55)(3, 63, 9, 73, 19, 85, 31, 96, 42, 91, 37, 80, 26, 69, 15, 61, 7, 57)(4, 65, 11, 76, 22, 88, 34, 99, 45, 92, 38, 81, 27, 70, 16, 62, 8, 58)(10, 71, 17, 82, 28, 93, 39, 101, 47, 104, 50, 97, 43, 86, 32, 74, 20, 64)(12, 72, 18, 83, 29, 94, 40, 102, 48, 106, 52, 100, 46, 89, 35, 77, 23, 66)(21, 87, 33, 98, 44, 105, 51, 108, 54, 107, 53, 103, 49, 95, 41, 84, 30, 75)
	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, 35)(24, 31)(25, 37)(27, 40)(28, 41)(32, 44)(34, 46)(36, 42)(38, 48)(39, 49)(43, 51)(45, 52)(47, 53)(50, 54)(55, 58)(56, 62)(57, 64)(59, 65)(60, 70)(61, 71)(63, 74)(66, 75)(67, 76)(68, 81)(69, 82)(72, 84)(73, 86)(77, 87)(78, 88)(79, 92)(80, 93)(83, 95)(85, 97)(89, 98)(90, 99)(91, 101)(94, 103)(96, 104)(100, 105)(102, 107)(106, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1076 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 9, 9})
Quotient :: edge^2
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|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, Y3^9, 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^-2 ]
Map::
	R = (1, 55, 4, 58, 12, 66, 23, 77, 35, 89, 36, 90, 24, 78, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 42, 96, 30, 84, 18, 72, 8, 62)(3, 57, 10, 64, 21, 75, 33, 87, 45, 99, 46, 100, 34, 88, 22, 76, 11, 65)(6, 60, 15, 69, 27, 81, 39, 93, 49, 103, 50, 104, 40, 94, 28, 82, 16, 70)(9, 63, 19, 73, 31, 85, 43, 97, 51, 105, 52, 106, 44, 98, 32, 86, 20, 74)(14, 68, 25, 79, 37, 91, 47, 101, 53, 107, 54, 108, 48, 102, 38, 92, 26, 80)(109, 110)(111, 117)(112, 116)(113, 115)(114, 122)(118, 128)(119, 127)(120, 126)(121, 125)(123, 134)(124, 133)(129, 140)(130, 139)(131, 138)(132, 137)(135, 146)(136, 145)(141, 152)(142, 151)(143, 150)(144, 149)(147, 156)(148, 155)(153, 160)(154, 159)(157, 162)(158, 161)(163, 165)(164, 168)(166, 173)(167, 172)(169, 178)(170, 177)(171, 176)(174, 184)(175, 183)(179, 190)(180, 189)(181, 188)(182, 187)(185, 196)(186, 195)(191, 202)(192, 201)(193, 200)(194, 199)(197, 208)(198, 207)(203, 212)(204, 211)(205, 210)(206, 209)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1077
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1077 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 9, 9})
Quotient :: loop^2
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|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, Y3^9, 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^-2 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 23, 77, 131, 185, 35, 89, 143, 197, 36, 90, 144, 198, 24, 78, 132, 186, 13, 67, 121, 175, 5, 59, 113, 167)(2, 56, 110, 164, 7, 61, 115, 169, 17, 71, 125, 179, 29, 83, 137, 191, 41, 95, 149, 203, 42, 96, 150, 204, 30, 84, 138, 192, 18, 72, 126, 180, 8, 62, 116, 170)(3, 57, 111, 165, 10, 64, 118, 172, 21, 75, 129, 183, 33, 87, 141, 195, 45, 99, 153, 207, 46, 100, 154, 208, 34, 88, 142, 196, 22, 76, 130, 184, 11, 65, 119, 173)(6, 60, 114, 168, 15, 69, 123, 177, 27, 81, 135, 189, 39, 93, 147, 201, 49, 103, 157, 211, 50, 104, 158, 212, 40, 94, 148, 202, 28, 82, 136, 190, 16, 70, 124, 178)(9, 63, 117, 171, 19, 73, 127, 181, 31, 85, 139, 193, 43, 97, 151, 205, 51, 105, 159, 213, 52, 106, 160, 214, 44, 98, 152, 206, 32, 86, 140, 194, 20, 74, 128, 182)(14, 68, 122, 176, 25, 79, 133, 187, 37, 91, 145, 199, 47, 101, 155, 209, 53, 107, 161, 215, 54, 108, 162, 216, 48, 102, 156, 210, 38, 92, 146, 200, 26, 80, 134, 188)
	L = (1, 56)(2, 55)(3, 63)(4, 62)(5, 61)(6, 68)(7, 59)(8, 58)(9, 57)(10, 74)(11, 73)(12, 72)(13, 71)(14, 60)(15, 80)(16, 79)(17, 67)(18, 66)(19, 65)(20, 64)(21, 86)(22, 85)(23, 84)(24, 83)(25, 70)(26, 69)(27, 92)(28, 91)(29, 78)(30, 77)(31, 76)(32, 75)(33, 98)(34, 97)(35, 96)(36, 95)(37, 82)(38, 81)(39, 102)(40, 101)(41, 90)(42, 89)(43, 88)(44, 87)(45, 106)(46, 105)(47, 94)(48, 93)(49, 108)(50, 107)(51, 100)(52, 99)(53, 104)(54, 103)(109, 165)(110, 168)(111, 163)(112, 173)(113, 172)(114, 164)(115, 178)(116, 177)(117, 176)(118, 167)(119, 166)(120, 184)(121, 183)(122, 171)(123, 170)(124, 169)(125, 190)(126, 189)(127, 188)(128, 187)(129, 175)(130, 174)(131, 196)(132, 195)(133, 182)(134, 181)(135, 180)(136, 179)(137, 202)(138, 201)(139, 200)(140, 199)(141, 186)(142, 185)(143, 208)(144, 207)(145, 194)(146, 193)(147, 192)(148, 191)(149, 212)(150, 211)(151, 210)(152, 209)(153, 198)(154, 197)(155, 206)(156, 205)(157, 204)(158, 203)(159, 216)(160, 215)(161, 214)(162, 213)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1076
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1078 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 21, 75)(12, 66, 22, 76)(13, 67, 20, 74)(14, 68, 19, 73)(15, 69, 17, 71)(16, 70, 18, 72)(23, 77, 33, 87)(24, 78, 34, 88)(25, 79, 32, 86)(26, 80, 31, 85)(27, 81, 29, 83)(28, 82, 30, 84)(35, 89, 45, 99)(36, 90, 46, 100)(37, 91, 44, 98)(38, 92, 43, 97)(39, 93, 41, 95)(40, 94, 42, 96)(47, 101, 54, 108)(48, 102, 53, 107)(49, 103, 52, 106)(50, 104, 51, 105)(109, 163, 111, 165, 119, 173, 131, 185, 143, 197, 147, 201, 135, 189, 123, 177, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 153, 207, 141, 195, 129, 183, 117, 171)(112, 166, 120, 174, 132, 186, 144, 198, 155, 209, 157, 211, 146, 200, 134, 188, 122, 176)(114, 168, 121, 175, 133, 187, 145, 199, 156, 210, 158, 212, 148, 202, 136, 190, 124, 178)(116, 170, 126, 180, 138, 192, 150, 204, 159, 213, 161, 215, 152, 206, 140, 194, 128, 182)(118, 172, 127, 181, 139, 193, 151, 205, 160, 214, 162, 216, 154, 208, 142, 196, 130, 184)
	L = (1, 112)(2, 116)(3, 120)(4, 114)(5, 122)(6, 109)(7, 126)(8, 118)(9, 128)(10, 110)(11, 132)(12, 121)(13, 111)(14, 124)(15, 134)(16, 113)(17, 138)(18, 127)(19, 115)(20, 130)(21, 140)(22, 117)(23, 144)(24, 133)(25, 119)(26, 136)(27, 146)(28, 123)(29, 150)(30, 139)(31, 125)(32, 142)(33, 152)(34, 129)(35, 155)(36, 145)(37, 131)(38, 148)(39, 157)(40, 135)(41, 159)(42, 151)(43, 137)(44, 154)(45, 161)(46, 141)(47, 156)(48, 143)(49, 158)(50, 147)(51, 160)(52, 149)(53, 162)(54, 153)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1079 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 9, 9})
Quotient :: dipole
Aut^+ = (C9 x C3) : C2 (small group id <54, 7>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, Y2^-3 * Y3^-3, Y3^9, Y2^9 ]
Map:: non-degenerate
	R = (1, 55, 2, 56)(3, 57, 9, 63)(4, 58, 10, 64)(5, 59, 7, 61)(6, 60, 8, 62)(11, 65, 24, 78)(12, 66, 25, 79)(13, 67, 23, 77)(14, 68, 26, 80)(15, 69, 21, 75)(16, 70, 19, 73)(17, 71, 20, 74)(18, 72, 22, 76)(27, 81, 40, 94)(28, 82, 38, 92)(29, 83, 42, 96)(30, 84, 36, 90)(31, 85, 41, 95)(32, 86, 35, 89)(33, 87, 39, 93)(34, 88, 37, 91)(43, 97, 53, 107)(44, 98, 52, 106)(45, 99, 54, 108)(46, 100, 50, 104)(47, 101, 49, 103)(48, 102, 51, 105)(109, 163, 111, 165, 119, 173, 135, 189, 151, 205, 155, 209, 140, 194, 124, 178, 113, 167)(110, 164, 115, 169, 127, 181, 143, 197, 157, 211, 161, 215, 148, 202, 132, 186, 117, 171)(112, 166, 120, 174, 136, 190, 126, 180, 139, 193, 153, 207, 154, 208, 142, 196, 123, 177)(114, 168, 121, 175, 137, 191, 152, 206, 156, 210, 141, 195, 122, 176, 138, 192, 125, 179)(116, 170, 128, 182, 144, 198, 134, 188, 147, 201, 159, 213, 160, 214, 150, 204, 131, 185)(118, 172, 129, 183, 145, 199, 158, 212, 162, 216, 149, 203, 130, 184, 146, 200, 133, 187)
	L = (1, 112)(2, 116)(3, 120)(4, 122)(5, 123)(6, 109)(7, 128)(8, 130)(9, 131)(10, 110)(11, 136)(12, 138)(13, 111)(14, 140)(15, 141)(16, 142)(17, 113)(18, 114)(19, 144)(20, 146)(21, 115)(22, 148)(23, 149)(24, 150)(25, 117)(26, 118)(27, 126)(28, 125)(29, 119)(30, 124)(31, 121)(32, 154)(33, 155)(34, 156)(35, 134)(36, 133)(37, 127)(38, 132)(39, 129)(40, 160)(41, 161)(42, 162)(43, 139)(44, 135)(45, 137)(46, 152)(47, 153)(48, 151)(49, 147)(50, 143)(51, 145)(52, 158)(53, 159)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4, 18, 4, 18 ), ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 33 e = 108 f = 33
	degree seq :: [ 4^27, 18^6 ]

E22.1080 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^3 * T2^-1 * T1^-3, T1 * T2^2 * T1^3 * T2 * T1 * T2, T1^9, (T2 * T1^2)^6, T2^18 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 42, 48, 28, 43, 54, 39, 53, 36, 16, 35, 52, 30, 15, 5)(2, 7, 20, 37, 50, 29, 12, 27, 46, 26, 45, 23, 34, 51, 33, 14, 22, 8)(4, 11, 25, 9, 24, 41, 47, 32, 44, 21, 40, 18, 6, 17, 38, 49, 31, 13)(55, 56, 60, 70, 88, 101, 82, 66, 58)(57, 63, 77, 89, 103, 83, 97, 75, 62)(59, 65, 80, 90, 71, 91, 102, 86, 68)(61, 73, 95, 105, 84, 67, 81, 93, 72)(64, 74, 92, 106, 87, 98, 108, 100, 79)(69, 76, 94, 107, 99, 78, 96, 104, 85)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1086
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.1081 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2^-1, T2 * T1 * T2 * T1 * T2^2, T1 * T2^-2 * T1^-1 * T2^2, T1^9, T1^-1 * T2 * T1^-2 * T2^9 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 26, 40, 30, 32, 43, 53, 51, 50, 35, 18, 22, 38, 20, 17, 5)(2, 7, 21, 16, 29, 11, 13, 31, 41, 44, 54, 48, 34, 36, 47, 33, 23, 8)(4, 12, 27, 28, 42, 45, 46, 49, 52, 39, 37, 19, 6, 15, 25, 9, 24, 14)(55, 56, 60, 72, 88, 100, 86, 67, 58)(57, 63, 62, 76, 93, 102, 97, 82, 65)(59, 69, 87, 89, 103, 98, 84, 66, 70)(61, 74, 73, 90, 105, 99, 85, 80, 68)(64, 75, 79, 92, 101, 106, 107, 95, 81)(71, 77, 91, 104, 108, 96, 94, 83, 78)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1085
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.1082 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2^-1)^2, T2^-2 * T1 * T2^2 * T1^-1, T1^2 * T2^-3 * T1^-1 * T2^-1, T1^4 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^18 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 53, 47, 38, 24, 49, 21, 48, 36, 18, 45, 54, 44, 17, 5)(2, 7, 22, 41, 51, 27, 13, 37, 43, 16, 34, 11, 32, 39, 52, 35, 26, 8)(4, 12, 31, 25, 50, 23, 42, 15, 29, 9, 28, 20, 6, 19, 46, 33, 40, 14)(55, 56, 60, 72, 86, 96, 92, 67, 58)(57, 63, 81, 99, 79, 62, 78, 87, 65)(59, 69, 95, 90, 66, 89, 101, 73, 70)(61, 75, 68, 93, 84, 74, 91, 98, 77)(64, 76, 100, 108, 106, 83, 103, 97, 85)(71, 80, 82, 102, 88, 104, 107, 105, 94)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1084
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.1083 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, (T2 * T1 * T2)^2, T2^-4 * T1^-2, (T2 * T1^-1)^3, T2^2 * T1^-8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 13, 31, 48, 54, 49, 52, 36, 51, 41, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 46, 34, 45, 50, 47, 53, 38, 18, 37, 26, 8)(9, 27, 16, 32, 11, 24, 43, 21, 42, 25, 44, 23, 40, 35, 39, 33, 15, 28)(55, 56, 60, 72, 90, 104, 102, 84, 64, 76, 71, 80, 95, 107, 103, 88, 67, 58)(57, 63, 73, 93, 105, 98, 108, 97, 83, 70, 59, 69, 74, 94, 106, 96, 85, 65)(61, 75, 91, 86, 101, 82, 100, 89, 68, 79, 62, 78, 92, 81, 99, 87, 66, 77)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1087
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1084 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^3 * T2^-1 * T1^-3, T1 * T2^2 * T1^3 * T2 * T1 * T2, T1^9, (T2 * T1^2)^6, T2^18 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 19, 73, 42, 96, 48, 102, 28, 82, 43, 97, 54, 108, 39, 93, 53, 107, 36, 90, 16, 70, 35, 89, 52, 106, 30, 84, 15, 69, 5, 59)(2, 56, 7, 61, 20, 74, 37, 91, 50, 104, 29, 83, 12, 66, 27, 81, 46, 100, 26, 80, 45, 99, 23, 77, 34, 88, 51, 105, 33, 87, 14, 68, 22, 76, 8, 62)(4, 58, 11, 65, 25, 79, 9, 63, 24, 78, 41, 95, 47, 101, 32, 86, 44, 98, 21, 75, 40, 94, 18, 72, 6, 60, 17, 71, 38, 92, 49, 103, 31, 85, 13, 67)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 65)(6, 70)(7, 73)(8, 57)(9, 77)(10, 74)(11, 80)(12, 58)(13, 81)(14, 59)(15, 76)(16, 88)(17, 91)(18, 61)(19, 95)(20, 92)(21, 62)(22, 94)(23, 89)(24, 96)(25, 64)(26, 90)(27, 93)(28, 66)(29, 97)(30, 67)(31, 69)(32, 68)(33, 98)(34, 101)(35, 103)(36, 71)(37, 102)(38, 106)(39, 72)(40, 107)(41, 105)(42, 104)(43, 75)(44, 108)(45, 78)(46, 79)(47, 82)(48, 86)(49, 83)(50, 85)(51, 84)(52, 87)(53, 99)(54, 100)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1082
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.1085 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2^-1, T2 * T1 * T2 * T1 * T2^2, T1 * T2^-2 * T1^-1 * T2^2, T1^9, T1^-1 * T2 * T1^-2 * T2^9 * T1^-1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 26, 80, 40, 94, 30, 84, 32, 86, 43, 97, 53, 107, 51, 105, 50, 104, 35, 89, 18, 72, 22, 76, 38, 92, 20, 74, 17, 71, 5, 59)(2, 56, 7, 61, 21, 75, 16, 70, 29, 83, 11, 65, 13, 67, 31, 85, 41, 95, 44, 98, 54, 108, 48, 102, 34, 88, 36, 90, 47, 101, 33, 87, 23, 77, 8, 62)(4, 58, 12, 66, 27, 81, 28, 82, 42, 96, 45, 99, 46, 100, 49, 103, 52, 106, 39, 93, 37, 91, 19, 73, 6, 60, 15, 69, 25, 79, 9, 63, 24, 78, 14, 68)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 74)(8, 76)(9, 62)(10, 75)(11, 57)(12, 70)(13, 58)(14, 61)(15, 87)(16, 59)(17, 77)(18, 88)(19, 90)(20, 73)(21, 79)(22, 93)(23, 91)(24, 71)(25, 92)(26, 68)(27, 64)(28, 65)(29, 78)(30, 66)(31, 80)(32, 67)(33, 89)(34, 100)(35, 103)(36, 105)(37, 104)(38, 101)(39, 102)(40, 83)(41, 81)(42, 94)(43, 82)(44, 84)(45, 85)(46, 86)(47, 106)(48, 97)(49, 98)(50, 108)(51, 99)(52, 107)(53, 95)(54, 96)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1081
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.1086 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2^-1)^2, T2^-2 * T1 * T2^2 * T1^-1, T1^2 * T2^-3 * T1^-1 * T2^-1, T1^4 * T2^-1 * T1 * T2^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^18 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 30, 84, 53, 107, 47, 101, 38, 92, 24, 78, 49, 103, 21, 75, 48, 102, 36, 90, 18, 72, 45, 99, 54, 108, 44, 98, 17, 71, 5, 59)(2, 56, 7, 61, 22, 76, 41, 95, 51, 105, 27, 81, 13, 67, 37, 91, 43, 97, 16, 70, 34, 88, 11, 65, 32, 86, 39, 93, 52, 106, 35, 89, 26, 80, 8, 62)(4, 58, 12, 66, 31, 85, 25, 79, 50, 104, 23, 77, 42, 96, 15, 69, 29, 83, 9, 63, 28, 82, 20, 74, 6, 60, 19, 73, 46, 100, 33, 87, 40, 94, 14, 68)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 78)(9, 81)(10, 76)(11, 57)(12, 89)(13, 58)(14, 93)(15, 95)(16, 59)(17, 80)(18, 86)(19, 70)(20, 91)(21, 68)(22, 100)(23, 61)(24, 87)(25, 62)(26, 82)(27, 99)(28, 102)(29, 103)(30, 74)(31, 64)(32, 96)(33, 65)(34, 104)(35, 101)(36, 66)(37, 98)(38, 67)(39, 84)(40, 71)(41, 90)(42, 92)(43, 85)(44, 77)(45, 79)(46, 108)(47, 73)(48, 88)(49, 97)(50, 107)(51, 94)(52, 83)(53, 105)(54, 106)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1080
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.1087 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^-2, T2^-3 * T1 * T2^3 * T1^-1, T1 * T2 * T1^2 * T2^2 * T1^3, T2^9, (T2^-1 * T1^-1)^18 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 25, 79, 40, 94, 51, 105, 33, 87, 15, 69, 5, 59)(2, 56, 7, 61, 20, 74, 41, 95, 49, 103, 32, 86, 44, 98, 22, 76, 8, 62)(4, 58, 11, 65, 26, 80, 46, 100, 24, 78, 36, 90, 52, 106, 30, 84, 13, 67)(6, 60, 17, 71, 37, 91, 47, 101, 29, 83, 43, 97, 53, 107, 38, 92, 18, 72)(9, 63, 16, 70, 35, 89, 48, 102, 27, 81, 14, 68, 31, 85, 45, 99, 23, 77)(12, 66, 21, 75, 42, 96, 54, 108, 39, 93, 19, 73, 34, 88, 50, 104, 28, 82)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 65)(6, 70)(7, 73)(8, 57)(9, 71)(10, 78)(11, 72)(12, 58)(13, 75)(14, 59)(15, 85)(16, 88)(17, 90)(18, 61)(19, 89)(20, 94)(21, 62)(22, 96)(23, 64)(24, 91)(25, 95)(26, 93)(27, 66)(28, 68)(29, 67)(30, 97)(31, 92)(32, 69)(33, 98)(34, 106)(35, 105)(36, 104)(37, 103)(38, 80)(39, 74)(40, 102)(41, 101)(42, 77)(43, 76)(44, 107)(45, 108)(46, 79)(47, 81)(48, 83)(49, 82)(50, 86)(51, 84)(52, 87)(53, 99)(54, 100)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1083
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1088 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (R * Y3)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-3 * Y3^-1 * Y2 * Y3^-1, Y3^2 * Y1^-1 * Y3^-2 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2 * Y1^-1, Y2^-1 * Y1^3 * Y2 * Y1^-3, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y3^-3, Y1^9, Y2^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 16, 70, 34, 88, 47, 101, 28, 82, 12, 66, 4, 58)(3, 57, 9, 63, 23, 77, 35, 89, 49, 103, 29, 83, 43, 97, 21, 75, 8, 62)(5, 59, 11, 65, 26, 80, 36, 90, 17, 71, 37, 91, 48, 102, 32, 86, 14, 68)(7, 61, 19, 73, 41, 95, 51, 105, 30, 84, 13, 67, 27, 81, 39, 93, 18, 72)(10, 64, 20, 74, 38, 92, 52, 106, 33, 87, 44, 98, 54, 108, 46, 100, 25, 79)(15, 69, 22, 76, 40, 94, 53, 107, 45, 99, 24, 78, 42, 96, 50, 104, 31, 85)(109, 163, 111, 165, 118, 172, 127, 181, 150, 204, 156, 210, 136, 190, 151, 205, 162, 216, 147, 201, 161, 215, 144, 198, 124, 178, 143, 197, 160, 214, 138, 192, 123, 177, 113, 167)(110, 164, 115, 169, 128, 182, 145, 199, 158, 212, 137, 191, 120, 174, 135, 189, 154, 208, 134, 188, 153, 207, 131, 185, 142, 196, 159, 213, 141, 195, 122, 176, 130, 184, 116, 170)(112, 166, 119, 173, 133, 187, 117, 171, 132, 186, 149, 203, 155, 209, 140, 194, 152, 206, 129, 183, 148, 202, 126, 180, 114, 168, 125, 179, 146, 200, 157, 211, 139, 193, 121, 175)
	L = (1, 112)(2, 109)(3, 116)(4, 120)(5, 122)(6, 110)(7, 126)(8, 129)(9, 111)(10, 133)(11, 113)(12, 136)(13, 138)(14, 140)(15, 139)(16, 114)(17, 144)(18, 147)(19, 115)(20, 118)(21, 151)(22, 123)(23, 117)(24, 153)(25, 154)(26, 119)(27, 121)(28, 155)(29, 157)(30, 159)(31, 158)(32, 156)(33, 160)(34, 124)(35, 131)(36, 134)(37, 125)(38, 128)(39, 135)(40, 130)(41, 127)(42, 132)(43, 137)(44, 141)(45, 161)(46, 162)(47, 142)(48, 145)(49, 143)(50, 150)(51, 149)(52, 146)(53, 148)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1095
Graph:: bipartite
	v = 9 e = 108 f = 57
	degree seq :: [ 18^6, 36^3 ]

E22.1089 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2 * Y3 * Y2 * Y3^-2, Y1^2 * Y2 * Y1^-1 * Y2, Y2^2 * Y1 * Y2 * Y3^-1 * Y2, Y3^5 * Y1^-4, Y1^9, Y3^3 * Y2^12 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 34, 88, 46, 100, 32, 86, 13, 67, 4, 58)(3, 57, 9, 63, 8, 62, 22, 76, 39, 93, 48, 102, 43, 97, 28, 82, 11, 65)(5, 59, 15, 69, 33, 87, 35, 89, 49, 103, 44, 98, 30, 84, 12, 66, 16, 70)(7, 61, 20, 74, 19, 73, 36, 90, 51, 105, 45, 99, 31, 85, 26, 80, 14, 68)(10, 64, 21, 75, 25, 79, 38, 92, 47, 101, 52, 106, 53, 107, 41, 95, 27, 81)(17, 71, 23, 77, 37, 91, 50, 104, 54, 108, 42, 96, 40, 94, 29, 83, 24, 78)(109, 163, 111, 165, 118, 172, 134, 188, 148, 202, 138, 192, 140, 194, 151, 205, 161, 215, 159, 213, 158, 212, 143, 197, 126, 180, 130, 184, 146, 200, 128, 182, 125, 179, 113, 167)(110, 164, 115, 169, 129, 183, 124, 178, 137, 191, 119, 173, 121, 175, 139, 193, 149, 203, 152, 206, 162, 216, 156, 210, 142, 196, 144, 198, 155, 209, 141, 195, 131, 185, 116, 170)(112, 166, 120, 174, 135, 189, 136, 190, 150, 204, 153, 207, 154, 208, 157, 211, 160, 214, 147, 201, 145, 199, 127, 181, 114, 168, 123, 177, 133, 187, 117, 171, 132, 186, 122, 176)
	L = (1, 112)(2, 109)(3, 119)(4, 121)(5, 124)(6, 110)(7, 122)(8, 117)(9, 111)(10, 135)(11, 136)(12, 138)(13, 140)(14, 134)(15, 113)(16, 120)(17, 132)(18, 114)(19, 128)(20, 115)(21, 118)(22, 116)(23, 125)(24, 137)(25, 129)(26, 139)(27, 149)(28, 151)(29, 148)(30, 152)(31, 153)(32, 154)(33, 123)(34, 126)(35, 141)(36, 127)(37, 131)(38, 133)(39, 130)(40, 150)(41, 161)(42, 162)(43, 156)(44, 157)(45, 159)(46, 142)(47, 146)(48, 147)(49, 143)(50, 145)(51, 144)(52, 155)(53, 160)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1094
Graph:: bipartite
	v = 9 e = 108 f = 57
	degree seq :: [ 18^6, 36^3 ]

E22.1090 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y1 * Y2^-2 * Y1^-1 * Y2^2, (Y1^-1 * Y2^-1 * Y3)^2, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^2, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-3, Y1 * Y2^-1 * Y1^2 * Y3^-2 * Y2^-1, Y1^2 * Y2^-3 * Y3 * Y2^-1, Y2^2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-3, Y1^3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 32, 86, 42, 96, 38, 92, 13, 67, 4, 58)(3, 57, 9, 63, 27, 81, 45, 99, 25, 79, 8, 62, 24, 78, 33, 87, 11, 65)(5, 59, 15, 69, 41, 95, 36, 90, 12, 66, 35, 89, 47, 101, 19, 73, 16, 70)(7, 61, 21, 75, 14, 68, 39, 93, 30, 84, 20, 74, 37, 91, 44, 98, 23, 77)(10, 64, 22, 76, 46, 100, 54, 108, 52, 106, 29, 83, 49, 103, 43, 97, 31, 85)(17, 71, 26, 80, 28, 82, 48, 102, 34, 88, 50, 104, 53, 107, 51, 105, 40, 94)(109, 163, 111, 165, 118, 172, 138, 192, 161, 215, 155, 209, 146, 200, 132, 186, 157, 211, 129, 183, 156, 210, 144, 198, 126, 180, 153, 207, 162, 216, 152, 206, 125, 179, 113, 167)(110, 164, 115, 169, 130, 184, 149, 203, 159, 213, 135, 189, 121, 175, 145, 199, 151, 205, 124, 178, 142, 196, 119, 173, 140, 194, 147, 201, 160, 214, 143, 197, 134, 188, 116, 170)(112, 166, 120, 174, 139, 193, 133, 187, 158, 212, 131, 185, 150, 204, 123, 177, 137, 191, 117, 171, 136, 190, 128, 182, 114, 168, 127, 181, 154, 208, 141, 195, 148, 202, 122, 176)
	L = (1, 112)(2, 109)(3, 119)(4, 121)(5, 124)(6, 110)(7, 131)(8, 133)(9, 111)(10, 139)(11, 141)(12, 144)(13, 146)(14, 129)(15, 113)(16, 127)(17, 148)(18, 114)(19, 155)(20, 138)(21, 115)(22, 118)(23, 152)(24, 116)(25, 153)(26, 125)(27, 117)(28, 134)(29, 160)(30, 147)(31, 151)(32, 126)(33, 132)(34, 156)(35, 120)(36, 149)(37, 128)(38, 150)(39, 122)(40, 159)(41, 123)(42, 140)(43, 157)(44, 145)(45, 135)(46, 130)(47, 143)(48, 136)(49, 137)(50, 142)(51, 161)(52, 162)(53, 158)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1093
Graph:: bipartite
	v = 9 e = 108 f = 57
	degree seq :: [ 18^6, 36^3 ]

E22.1091 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4 * Y2^2, (Y1 * Y2 * Y1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^3, (Y3^-1 * Y1^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 17, 71, 26, 80, 38, 92, 50, 104, 49, 103, 54, 108, 47, 101, 53, 107, 48, 102, 30, 84, 10, 64, 22, 76, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 16, 70, 5, 59, 15, 69, 20, 74, 37, 91, 35, 89, 39, 93, 51, 105, 42, 96, 52, 106, 40, 94, 29, 83, 43, 97, 31, 85, 11, 65)(7, 61, 21, 75, 14, 68, 25, 79, 8, 62, 24, 78, 36, 90, 27, 81, 44, 98, 32, 86, 46, 100, 28, 82, 45, 99, 34, 88, 41, 95, 33, 87, 12, 66, 23, 77)(109, 163, 111, 165, 118, 172, 137, 191, 155, 209, 159, 213, 146, 200, 128, 182, 114, 168, 127, 181, 121, 175, 139, 193, 156, 210, 160, 214, 157, 211, 143, 197, 125, 179, 113, 167)(110, 164, 115, 169, 130, 184, 149, 203, 161, 215, 154, 208, 158, 212, 144, 198, 126, 180, 122, 176, 112, 166, 120, 174, 138, 192, 153, 207, 162, 216, 152, 206, 134, 188, 116, 170)(117, 171, 135, 189, 151, 205, 133, 187, 150, 204, 131, 185, 145, 199, 142, 196, 124, 178, 140, 194, 119, 173, 132, 186, 148, 202, 129, 183, 147, 201, 141, 195, 123, 177, 136, 190)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 135)(10, 137)(11, 132)(12, 138)(13, 139)(14, 112)(15, 136)(16, 140)(17, 113)(18, 122)(19, 121)(20, 114)(21, 147)(22, 149)(23, 145)(24, 148)(25, 150)(26, 116)(27, 151)(28, 117)(29, 155)(30, 153)(31, 156)(32, 119)(33, 123)(34, 124)(35, 125)(36, 126)(37, 142)(38, 128)(39, 141)(40, 129)(41, 161)(42, 131)(43, 133)(44, 134)(45, 162)(46, 158)(47, 159)(48, 160)(49, 143)(50, 144)(51, 146)(52, 157)(53, 154)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1092
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1092 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-3, Y2 * Y3^-1 * Y2^5 * Y3^-1 * Y2, Y3^-1 * Y2^2 * Y3^-4 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 124, 178, 142, 196, 159, 213, 139, 193, 121, 175, 112, 166)(111, 165, 117, 171, 131, 185, 143, 197, 126, 180, 147, 201, 160, 214, 136, 190, 119, 173)(113, 167, 122, 176, 140, 194, 144, 198, 157, 211, 138, 192, 150, 204, 128, 182, 115, 169)(116, 170, 129, 183, 151, 205, 156, 210, 133, 187, 120, 174, 137, 191, 146, 200, 125, 179)(118, 172, 127, 181, 145, 199, 161, 215, 154, 208, 141, 195, 152, 206, 158, 212, 134, 188)(123, 177, 130, 184, 148, 202, 155, 209, 135, 189, 149, 203, 162, 216, 153, 207, 132, 186)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 125)(7, 127)(8, 110)(9, 112)(10, 133)(11, 135)(12, 134)(13, 138)(14, 132)(15, 113)(16, 143)(17, 145)(18, 114)(19, 119)(20, 149)(21, 123)(22, 116)(23, 153)(24, 117)(25, 155)(26, 157)(27, 156)(28, 159)(29, 121)(30, 158)(31, 160)(32, 154)(33, 122)(34, 140)(35, 161)(36, 124)(37, 128)(38, 162)(39, 130)(40, 126)(41, 136)(42, 139)(43, 141)(44, 129)(45, 137)(46, 131)(47, 144)(48, 142)(49, 148)(50, 147)(51, 151)(52, 152)(53, 146)(54, 150)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1091
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1093 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3^3 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y3^3 * Y1^2 * Y3, Y1^-2 * Y3^2 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 16, 70, 34, 88, 52, 106, 33, 87, 44, 98, 53, 107, 45, 99, 54, 108, 46, 100, 25, 79, 41, 95, 47, 101, 27, 81, 12, 66, 4, 58)(3, 57, 9, 63, 17, 71, 36, 90, 50, 104, 32, 86, 15, 69, 31, 85, 38, 92, 26, 80, 39, 93, 20, 74, 40, 94, 48, 102, 29, 83, 13, 67, 21, 75, 8, 62)(5, 59, 11, 65, 18, 72, 7, 61, 19, 73, 35, 89, 51, 105, 30, 84, 43, 97, 22, 76, 42, 96, 23, 77, 10, 64, 24, 78, 37, 91, 49, 103, 28, 82, 14, 68)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 118)(4, 119)(5, 109)(6, 125)(7, 128)(8, 110)(9, 124)(10, 133)(11, 134)(12, 129)(13, 112)(14, 139)(15, 113)(16, 143)(17, 145)(18, 114)(19, 142)(20, 149)(21, 150)(22, 116)(23, 117)(24, 144)(25, 148)(26, 154)(27, 122)(28, 120)(29, 151)(30, 121)(31, 153)(32, 152)(33, 123)(34, 158)(35, 156)(36, 160)(37, 155)(38, 126)(39, 127)(40, 159)(41, 157)(42, 162)(43, 161)(44, 130)(45, 131)(46, 132)(47, 137)(48, 135)(49, 140)(50, 136)(51, 141)(52, 138)(53, 146)(54, 147)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1090
Graph:: simple bipartite
	v = 57 e = 108 f = 9
	degree seq :: [ 2^54, 36^3 ]

E22.1094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1 * Y3 * Y1^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, (Y3^4 * Y1^-1)^2, Y3^-1 * Y1 * Y3^-2 * Y1^9 * Y3^-1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 34, 88, 31, 85, 33, 87, 38, 92, 48, 102, 53, 107, 52, 106, 40, 94, 26, 80, 28, 82, 36, 90, 25, 79, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 14, 68, 23, 77, 8, 62, 17, 71, 32, 86, 35, 89, 45, 99, 49, 103, 50, 104, 39, 93, 41, 95, 44, 98, 30, 84, 29, 83, 11, 65)(5, 59, 15, 69, 20, 74, 24, 78, 37, 91, 46, 100, 47, 101, 51, 105, 54, 108, 43, 97, 42, 96, 27, 81, 10, 64, 12, 66, 22, 76, 7, 61, 21, 75, 16, 70)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 119)(8, 110)(9, 133)(10, 134)(11, 136)(12, 138)(13, 137)(14, 112)(15, 122)(16, 117)(17, 113)(18, 124)(19, 130)(20, 114)(21, 121)(22, 144)(23, 129)(24, 116)(25, 135)(26, 147)(27, 149)(28, 151)(29, 150)(30, 148)(31, 123)(32, 126)(33, 125)(34, 131)(35, 128)(36, 152)(37, 142)(38, 132)(39, 155)(40, 159)(41, 161)(42, 160)(43, 158)(44, 162)(45, 139)(46, 140)(47, 141)(48, 143)(49, 145)(50, 146)(51, 153)(52, 157)(53, 154)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1089
Graph:: simple bipartite
	v = 57 e = 108 f = 9
	degree seq :: [ 2^54, 36^3 ]

E22.1095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C9 x S3 (small group id <54, 4>)
Aut   = S3 x D18 (small group id <108, 16>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1 * Y3^-1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, Y1 * Y3 * Y1^3 * Y3^-2, Y1 * Y3^-1 * Y1 * Y3^-4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^9, Y1^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 18, 72, 45, 99, 53, 107, 44, 98, 32, 86, 50, 104, 27, 81, 47, 101, 41, 95, 30, 84, 48, 102, 54, 108, 37, 91, 13, 67, 4, 58)(3, 57, 9, 63, 19, 73, 35, 89, 49, 103, 22, 76, 17, 71, 43, 97, 39, 93, 14, 68, 25, 79, 8, 62, 24, 78, 42, 96, 51, 105, 40, 94, 33, 87, 11, 65)(5, 59, 15, 69, 20, 74, 34, 88, 52, 106, 28, 82, 36, 90, 12, 66, 23, 77, 7, 61, 21, 75, 31, 85, 10, 64, 29, 83, 46, 100, 26, 80, 38, 92, 16, 70)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 118)(4, 120)(5, 109)(6, 127)(7, 130)(8, 110)(9, 135)(10, 138)(11, 140)(12, 143)(13, 141)(14, 112)(15, 148)(16, 150)(17, 113)(18, 139)(19, 154)(20, 114)(21, 155)(22, 156)(23, 158)(24, 144)(25, 160)(26, 116)(27, 124)(28, 117)(29, 122)(30, 132)(31, 151)(32, 134)(33, 129)(34, 119)(35, 149)(36, 152)(37, 136)(38, 121)(39, 128)(40, 161)(41, 123)(42, 126)(43, 145)(44, 125)(45, 157)(46, 162)(47, 133)(48, 142)(49, 146)(50, 147)(51, 131)(52, 153)(53, 137)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1088
Graph:: simple bipartite
	v = 57 e = 108 f = 9
	degree seq :: [ 2^54, 36^3 ]

E22.1096 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^6, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 38, 22, 36, 49, 53, 44, 28, 14, 27, 41, 25, 13, 5)(2, 7, 17, 31, 39, 23, 11, 21, 35, 48, 52, 43, 26, 42, 46, 32, 18, 8)(4, 10, 20, 34, 47, 51, 37, 50, 54, 45, 30, 16, 6, 15, 29, 40, 24, 12)(55, 56, 60, 68, 80, 91, 76, 65, 58)(57, 61, 69, 81, 96, 104, 90, 75, 64)(59, 62, 70, 82, 97, 105, 92, 77, 66)(63, 71, 83, 95, 100, 108, 103, 89, 74)(67, 72, 84, 98, 106, 101, 87, 93, 78)(73, 85, 94, 79, 86, 99, 107, 102, 88)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1097
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.1097 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^3 * T2^6, T1^9 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 38, 92, 22, 76, 36, 90, 49, 103, 53, 107, 44, 98, 28, 82, 14, 68, 27, 81, 41, 95, 25, 79, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 31, 85, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 48, 102, 52, 106, 43, 97, 26, 80, 42, 96, 46, 100, 32, 86, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 34, 88, 47, 101, 51, 105, 37, 91, 50, 104, 54, 108, 45, 99, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 40, 94, 24, 78, 12, 66)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 91)(27, 96)(28, 97)(29, 95)(30, 98)(31, 94)(32, 99)(33, 93)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 100)(42, 104)(43, 105)(44, 106)(45, 107)(46, 108)(47, 87)(48, 88)(49, 89)(50, 90)(51, 92)(52, 101)(53, 102)(54, 103)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1096
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.1098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, Y1 * Y3, (Y3^-1, Y2^-1), (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3^2 * Y2 * Y1, Y2^6 * Y1^3, (Y1^-2 * Y3)^3, Y1^9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 50, 104, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 43, 97, 51, 105, 38, 92, 23, 77, 12, 66)(9, 63, 17, 71, 29, 83, 41, 95, 46, 100, 54, 108, 49, 103, 35, 89, 20, 74)(13, 67, 18, 72, 30, 84, 44, 98, 52, 106, 47, 101, 33, 87, 39, 93, 24, 78)(19, 73, 31, 85, 40, 94, 25, 79, 32, 86, 45, 99, 53, 107, 48, 102, 34, 88)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 146, 200, 130, 184, 144, 198, 157, 211, 161, 215, 152, 206, 136, 190, 122, 176, 135, 189, 149, 203, 133, 187, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 139, 193, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 156, 210, 160, 214, 151, 205, 134, 188, 150, 204, 154, 208, 140, 194, 126, 180, 116, 170)(112, 166, 118, 172, 128, 182, 142, 196, 155, 209, 159, 213, 145, 199, 158, 212, 162, 216, 153, 207, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 148, 202, 132, 186, 120, 174)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 130)(12, 131)(13, 132)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 142)(20, 143)(21, 144)(22, 145)(23, 146)(24, 147)(25, 148)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 133)(33, 155)(34, 156)(35, 157)(36, 158)(37, 134)(38, 159)(39, 141)(40, 139)(41, 137)(42, 135)(43, 136)(44, 138)(45, 140)(46, 149)(47, 160)(48, 161)(49, 162)(50, 150)(51, 151)(52, 152)(53, 153)(54, 154)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1099
Graph:: bipartite
	v = 9 e = 108 f = 57
	degree seq :: [ 18^6, 36^3 ]

E22.1099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {9, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C3 (small group id <54, 9>)
Aut   = C2 x ((C9 x C3) : C2) (small group id <108, 27>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3 * Y1 * Y3^2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^4 * Y3^-4 * Y1, (Y3 * Y2^-1)^9, (Y1^-1 * Y3^-1)^18 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 40, 94, 25, 79, 32, 86, 44, 98, 53, 107, 48, 102, 34, 88, 19, 73, 31, 85, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 43, 97, 52, 106, 47, 101, 33, 87, 45, 99, 50, 104, 36, 90, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 28, 82, 42, 96, 51, 105, 41, 95, 46, 100, 54, 108, 49, 103, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 38, 92, 23, 77, 12, 66)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 147)(27, 146)(28, 122)(29, 145)(30, 124)(31, 153)(32, 126)(33, 149)(34, 155)(35, 156)(36, 157)(37, 158)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 136)(44, 138)(45, 154)(46, 140)(47, 159)(48, 160)(49, 161)(50, 162)(51, 148)(52, 150)(53, 151)(54, 152)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1098
Graph:: simple bipartite
	v = 57 e = 108 f = 9
	degree seq :: [ 2^54, 36^3 ]

E22.1100 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X1 * X2 * X1^2 * X2^-1, X2^-1 * X1^-2 * X2^2 * X1^-1 * X2^-1, X1^-1 * X2^-1 * X1^4 * X2, X2 * X1 * X2^5 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 25, 30, 34, 13, 4)(3, 9, 12, 31, 33, 19, 21, 7, 11)(5, 15, 37, 22, 8, 14, 35, 39, 16)(10, 26, 29, 45, 20, 32, 46, 24, 28)(17, 41, 36, 47, 38, 40, 48, 23, 42)(27, 44, 52, 43, 49, 53, 54, 50, 51)(55, 57, 64, 81, 102, 89, 88, 75, 100, 108, 101, 76, 72, 85, 99, 97, 71, 59)(56, 61, 74, 98, 92, 69, 67, 87, 80, 104, 95, 93, 79, 63, 78, 103, 77, 62)(58, 66, 86, 105, 96, 91, 84, 65, 83, 107, 94, 70, 60, 73, 82, 106, 90, 68)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 36^9 ), ( 36^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 54 f = 3
	degree seq :: [ 9^6, 18^3 ]

E22.1101 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x (C9 : C3) (small group id <54, 11>)
|r| :: 1
Presentation :: [ X1^-1 * X2^-2 * X1^-1 * X2^-1 * X1^-1, X2^3 * X1^-3, (X2 * X1^-1)^3, X2 * X1^4 * X2^2 * X1^-1, X2^-2 * X1 * X2^-2 * X1 * X2 * X1, X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1 ]
Map:: non-degenerate
	R = (1, 55, 2, 56, 6, 60, 18, 72, 40, 94, 33, 87, 50, 104, 38, 92, 51, 105, 54, 108, 53, 107, 39, 93, 52, 106, 29, 83, 47, 101, 36, 90, 13, 67, 4, 58)(3, 57, 9, 63, 27, 81, 41, 95, 26, 80, 49, 103, 23, 77, 7, 61, 21, 75, 46, 100, 35, 89, 12, 66, 34, 88, 43, 97, 19, 73, 17, 71, 32, 86, 11, 65)(5, 59, 15, 69, 31, 85, 10, 64, 30, 84, 14, 68, 37, 91, 45, 99, 20, 74, 44, 98, 28, 82, 42, 96, 25, 79, 8, 62, 24, 78, 48, 102, 22, 76, 16, 70)
	L = (1, 57)(2, 61)(3, 64)(4, 66)(5, 55)(6, 73)(7, 76)(8, 56)(9, 82)(10, 72)(11, 78)(12, 74)(13, 80)(14, 58)(15, 92)(16, 93)(17, 59)(18, 95)(19, 96)(20, 60)(21, 68)(22, 94)(23, 98)(24, 105)(25, 106)(26, 62)(27, 70)(28, 67)(29, 63)(30, 107)(31, 101)(32, 99)(33, 65)(34, 102)(35, 69)(36, 71)(37, 104)(38, 97)(39, 103)(40, 89)(41, 91)(42, 87)(43, 84)(44, 108)(45, 83)(46, 79)(47, 75)(48, 90)(49, 85)(50, 77)(51, 81)(52, 88)(53, 86)(54, 100)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 3 e = 54 f = 9
	degree seq :: [ 36^3 ]

E22.1102 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {9, 18, 18})
Quotient :: loop
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ F^2, F * T1 * F * T2, T1 * T2 * T1 * T2^2 * T1, (T2^-1 * T1)^3, T2^3 * T1^-3, T1^-1 * T2 * T1^4 * T2^2, T2 * T1^-2 * T2 * T1 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 41, 37, 50, 23, 44, 54, 46, 25, 52, 34, 48, 36, 17, 5)(2, 7, 22, 40, 35, 15, 38, 43, 30, 53, 32, 45, 29, 9, 28, 13, 26, 8)(4, 12, 20, 6, 19, 42, 33, 11, 24, 51, 27, 16, 39, 49, 31, 47, 21, 14)(55, 56, 60, 72, 94, 87, 104, 92, 105, 108, 107, 93, 106, 83, 101, 90, 67, 58)(57, 63, 81, 95, 80, 103, 77, 61, 75, 100, 89, 66, 88, 97, 73, 71, 86, 65)(59, 69, 85, 64, 84, 68, 91, 99, 74, 98, 82, 96, 79, 62, 78, 102, 76, 70)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1103
Transitivity :: ET+ VT AT
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1103 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {9, 18, 18})
Quotient :: edge
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, F * T1 * T2 * F * T1^-1, T2^2 * T1^-1 * T2 * T1, T1 * F * T2 * T1^-1 * F * T2^-1, T1^2 * T2^-1 * T1^-2 * T2^-2, T2^-1 * T1^-1 * T2^4 * T1, T2 * T1^-5 * T2^-1 * T1^-1, (T1^-2 * F * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 10, 64, 28, 82, 22, 76, 24, 78, 43, 97, 17, 71, 5, 59)(2, 56, 7, 61, 15, 69, 39, 93, 42, 96, 27, 81, 26, 80, 9, 63, 8, 62)(4, 58, 12, 66, 31, 85, 30, 84, 11, 65, 16, 70, 40, 94, 37, 91, 14, 68)(6, 60, 19, 73, 23, 77, 52, 106, 25, 79, 38, 92, 50, 104, 21, 75, 20, 74)(13, 67, 33, 87, 41, 95, 53, 107, 32, 86, 36, 90, 44, 98, 29, 83, 35, 89)(18, 72, 45, 99, 48, 102, 34, 88, 49, 103, 51, 105, 54, 108, 47, 101, 46, 100)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 77)(9, 79)(10, 81)(11, 57)(12, 71)(13, 58)(14, 64)(15, 92)(16, 59)(17, 96)(18, 98)(19, 101)(20, 102)(21, 103)(22, 61)(23, 105)(24, 62)(25, 99)(26, 104)(27, 74)(28, 93)(29, 65)(30, 82)(31, 78)(32, 66)(33, 91)(34, 67)(35, 85)(36, 68)(37, 76)(38, 100)(39, 106)(40, 97)(41, 70)(42, 73)(43, 80)(44, 94)(45, 86)(46, 89)(47, 87)(48, 95)(49, 83)(50, 108)(51, 90)(52, 88)(53, 84)(54, 107)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1102
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1104 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 18, 18})
Quotient :: edge^2
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y1^-3 * Y2, (Y2 * Y1^-1)^3, Y1 * Y2 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-2, Y2^18, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 110, 114, 126, 148, 141, 158, 146, 159, 162, 161, 147, 160, 137, 155, 144, 121, 112)(111, 117, 135, 149, 134, 157, 131, 115, 129, 154, 143, 120, 142, 151, 127, 125, 140, 119)(113, 123, 139, 118, 138, 122, 145, 153, 128, 152, 136, 150, 133, 116, 132, 156, 130, 124)(163, 165, 172, 180, 203, 199, 212, 185, 206, 216, 208, 187, 214, 196, 210, 198, 179, 167)(164, 169, 184, 202, 197, 177, 200, 205, 192, 215, 194, 207, 191, 171, 190, 175, 188, 170)(166, 174, 182, 168, 181, 204, 195, 173, 186, 213, 189, 178, 201, 211, 193, 209, 183, 176)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1107
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1105 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {9, 18, 18})
Quotient :: edge^2
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y3^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^3 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y1^3 * Y2^-3, Y2 * Y1^2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^18 ]
Map:: polytopal non-degenerate
	R = (1, 55, 4, 58, 12, 66, 32, 86, 33, 87, 38, 92, 52, 106, 22, 76, 7, 61)(2, 56, 9, 63, 26, 80, 39, 93, 49, 103, 18, 72, 25, 79, 6, 60, 11, 65)(3, 57, 5, 59, 20, 74, 47, 101, 16, 70, 17, 71, 27, 81, 44, 98, 15, 69)(8, 62, 29, 83, 24, 78, 53, 107, 23, 77, 34, 88, 37, 91, 10, 64, 31, 85)(13, 67, 14, 68, 42, 96, 48, 102, 19, 73, 21, 75, 45, 99, 46, 100, 41, 95)(28, 82, 40, 94, 36, 90, 51, 105, 35, 89, 43, 97, 54, 108, 30, 84, 50, 104)(109, 110, 116, 136, 150, 152, 160, 133, 145, 162, 149, 124, 140, 147, 161, 159, 129, 113)(111, 120, 126, 139, 144, 154, 135, 115, 134, 142, 158, 127, 155, 146, 119, 132, 151, 122)(112, 114, 131, 148, 121, 128, 130, 157, 137, 138, 153, 123, 141, 117, 118, 143, 156, 125)(163, 165, 175, 190, 193, 211, 214, 189, 207, 216, 196, 171, 194, 209, 210, 213, 186, 168)(164, 169, 179, 204, 212, 185, 187, 200, 182, 203, 205, 191, 201, 174, 177, 183, 198, 172)(166, 178, 208, 202, 215, 188, 184, 167, 181, 192, 170, 173, 195, 206, 176, 197, 199, 180)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1106
Graph:: bipartite
	v = 12 e = 108 f = 54
	degree seq :: [ 18^12 ]

E22.1106 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 18, 18})
Quotient :: loop^2
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y1 * R * Y2, (R * Y3)^2, Y2^2 * Y1^-3 * Y2, (Y2 * Y1^-1)^3, Y1 * Y2 * Y1 * Y2^2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-2, Y2^18, (Y1^-1 * Y3^-1 * Y2^-1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 55, 109, 163)(2, 56, 110, 164)(3, 57, 111, 165)(4, 58, 112, 166)(5, 59, 113, 167)(6, 60, 114, 168)(7, 61, 115, 169)(8, 62, 116, 170)(9, 63, 117, 171)(10, 64, 118, 172)(11, 65, 119, 173)(12, 66, 120, 174)(13, 67, 121, 175)(14, 68, 122, 176)(15, 69, 123, 177)(16, 70, 124, 178)(17, 71, 125, 179)(18, 72, 126, 180)(19, 73, 127, 181)(20, 74, 128, 182)(21, 75, 129, 183)(22, 76, 130, 184)(23, 77, 131, 185)(24, 78, 132, 186)(25, 79, 133, 187)(26, 80, 134, 188)(27, 81, 135, 189)(28, 82, 136, 190)(29, 83, 137, 191)(30, 84, 138, 192)(31, 85, 139, 193)(32, 86, 140, 194)(33, 87, 141, 195)(34, 88, 142, 196)(35, 89, 143, 197)(36, 90, 144, 198)(37, 91, 145, 199)(38, 92, 146, 200)(39, 93, 147, 201)(40, 94, 148, 202)(41, 95, 149, 203)(42, 96, 150, 204)(43, 97, 151, 205)(44, 98, 152, 206)(45, 99, 153, 207)(46, 100, 154, 208)(47, 101, 155, 209)(48, 102, 156, 210)(49, 103, 157, 211)(50, 104, 158, 212)(51, 105, 159, 213)(52, 106, 160, 214)(53, 107, 161, 215)(54, 108, 162, 216)
	L = (1, 56)(2, 60)(3, 63)(4, 55)(5, 69)(6, 72)(7, 75)(8, 78)(9, 81)(10, 84)(11, 57)(12, 88)(13, 58)(14, 91)(15, 85)(16, 59)(17, 86)(18, 94)(19, 71)(20, 98)(21, 100)(22, 70)(23, 61)(24, 102)(25, 62)(26, 103)(27, 95)(28, 96)(29, 101)(30, 68)(31, 64)(32, 65)(33, 104)(34, 97)(35, 66)(36, 67)(37, 99)(38, 105)(39, 106)(40, 87)(41, 80)(42, 79)(43, 73)(44, 82)(45, 74)(46, 89)(47, 90)(48, 76)(49, 77)(50, 92)(51, 108)(52, 83)(53, 93)(54, 107)(109, 165)(110, 169)(111, 172)(112, 174)(113, 163)(114, 181)(115, 184)(116, 164)(117, 190)(118, 180)(119, 186)(120, 182)(121, 188)(122, 166)(123, 200)(124, 201)(125, 167)(126, 203)(127, 204)(128, 168)(129, 176)(130, 202)(131, 206)(132, 213)(133, 214)(134, 170)(135, 178)(136, 175)(137, 171)(138, 215)(139, 209)(140, 207)(141, 173)(142, 210)(143, 177)(144, 179)(145, 212)(146, 205)(147, 211)(148, 197)(149, 199)(150, 195)(151, 192)(152, 216)(153, 191)(154, 187)(155, 183)(156, 198)(157, 193)(158, 185)(159, 189)(160, 196)(161, 194)(162, 208)
	local type(s) :: { ( 18^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1105
Transitivity :: VT+
Graph:: simple bipartite
	v = 54 e = 108 f = 12
	degree seq :: [ 4^54 ]

E22.1107 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {9, 18, 18})
Quotient :: loop^2
Aut^+ = C2 x (C9 : C3) (small group id <54, 11>)
Aut   = C2 x ((C9 : C3) : C2) (small group id <108, 26>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y3^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3^2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^3 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y2 * Y1^-1)^3, Y1^3 * Y2^-3, Y2 * Y1^2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2^18 ]
Map::
	R = (1, 55, 109, 163, 4, 58, 112, 166, 12, 66, 120, 174, 32, 86, 140, 194, 33, 87, 141, 195, 38, 92, 146, 200, 52, 106, 160, 214, 22, 76, 130, 184, 7, 61, 115, 169)(2, 56, 110, 164, 9, 63, 117, 171, 26, 80, 134, 188, 39, 93, 147, 201, 49, 103, 157, 211, 18, 72, 126, 180, 25, 79, 133, 187, 6, 60, 114, 168, 11, 65, 119, 173)(3, 57, 111, 165, 5, 59, 113, 167, 20, 74, 128, 182, 47, 101, 155, 209, 16, 70, 124, 178, 17, 71, 125, 179, 27, 81, 135, 189, 44, 98, 152, 206, 15, 69, 123, 177)(8, 62, 116, 170, 29, 83, 137, 191, 24, 78, 132, 186, 53, 107, 161, 215, 23, 77, 131, 185, 34, 88, 142, 196, 37, 91, 145, 199, 10, 64, 118, 172, 31, 85, 139, 193)(13, 67, 121, 175, 14, 68, 122, 176, 42, 96, 150, 204, 48, 102, 156, 210, 19, 73, 127, 181, 21, 75, 129, 183, 45, 99, 153, 207, 46, 100, 154, 208, 41, 95, 149, 203)(28, 82, 136, 190, 40, 94, 148, 202, 36, 90, 144, 198, 51, 105, 159, 213, 35, 89, 143, 197, 43, 97, 151, 205, 54, 108, 162, 216, 30, 84, 138, 192, 50, 104, 158, 212)
	L = (1, 56)(2, 62)(3, 66)(4, 60)(5, 55)(6, 77)(7, 80)(8, 82)(9, 64)(10, 89)(11, 78)(12, 72)(13, 74)(14, 57)(15, 87)(16, 86)(17, 58)(18, 85)(19, 101)(20, 76)(21, 59)(22, 103)(23, 94)(24, 97)(25, 91)(26, 88)(27, 61)(28, 96)(29, 84)(30, 99)(31, 90)(32, 93)(33, 63)(34, 104)(35, 102)(36, 100)(37, 108)(38, 65)(39, 107)(40, 67)(41, 70)(42, 98)(43, 68)(44, 106)(45, 69)(46, 81)(47, 92)(48, 71)(49, 83)(50, 73)(51, 75)(52, 79)(53, 105)(54, 95)(109, 165)(110, 169)(111, 175)(112, 178)(113, 181)(114, 163)(115, 179)(116, 173)(117, 194)(118, 164)(119, 195)(120, 177)(121, 190)(122, 197)(123, 183)(124, 208)(125, 204)(126, 166)(127, 192)(128, 203)(129, 198)(130, 167)(131, 187)(132, 168)(133, 200)(134, 184)(135, 207)(136, 193)(137, 201)(138, 170)(139, 211)(140, 209)(141, 206)(142, 171)(143, 199)(144, 172)(145, 180)(146, 182)(147, 174)(148, 215)(149, 205)(150, 212)(151, 191)(152, 176)(153, 216)(154, 202)(155, 210)(156, 213)(157, 214)(158, 185)(159, 186)(160, 189)(161, 188)(162, 196)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1104
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1108 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^2 * T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 46, 34, 22, 11, 21, 33, 45, 54, 51, 40, 28, 16, 6, 15, 27, 39, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 47, 35, 23, 12, 4, 10, 20, 32, 44, 53, 50, 38, 26, 14, 25, 37, 49, 52, 42, 30, 18, 8)(55, 56, 60, 68, 65, 58)(57, 61, 69, 79, 75, 64)(59, 62, 70, 80, 76, 66)(63, 71, 81, 91, 87, 74)(67, 72, 82, 92, 88, 77)(73, 83, 93, 103, 99, 86)(78, 84, 94, 104, 100, 89)(85, 95, 102, 106, 108, 98)(90, 96, 105, 107, 97, 101)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^6 ), ( 108^27 ) }
Outer automorphisms :: reflexible
Dual of E22.1116
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 54 f = 1
	degree seq :: [ 6^9, 27^2 ]

E22.1109 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^-2 * T2^9 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 40, 28, 16, 6, 15, 27, 39, 51, 53, 46, 34, 22, 11, 21, 33, 45, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 52, 50, 38, 26, 14, 25, 37, 49, 54, 47, 35, 23, 12, 4, 10, 20, 32, 44, 42, 30, 18, 8)(55, 56, 60, 68, 65, 58)(57, 61, 69, 79, 75, 64)(59, 62, 70, 80, 76, 66)(63, 71, 81, 91, 87, 74)(67, 72, 82, 92, 88, 77)(73, 83, 93, 103, 99, 86)(78, 84, 94, 104, 100, 89)(85, 95, 105, 108, 102, 98)(90, 96, 97, 106, 107, 101)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 108^6 ), ( 108^27 ) }
Outer automorphisms :: reflexible
Dual of E22.1117
Transitivity :: ET+
Graph:: bipartite
	v = 11 e = 54 f = 1
	degree seq :: [ 6^9, 27^2 ]

E22.1110 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-8 * T1, T1^5 * T2^-1 * T1 * T2^-1 * T1, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 32, 18, 8, 2, 7, 17, 31, 46, 45, 30, 16, 6, 15, 29, 44, 54, 48, 37, 28, 14, 27, 43, 53, 49, 38, 22, 36, 26, 42, 52, 50, 39, 23, 11, 21, 35, 47, 51, 40, 24, 12, 4, 10, 20, 34, 41, 25, 13, 5)(55, 56, 60, 68, 80, 89, 74, 63, 71, 83, 97, 106, 105, 95, 87, 100, 108, 103, 93, 78, 67, 72, 84, 91, 76, 65, 58)(57, 61, 69, 81, 96, 101, 88, 73, 85, 98, 107, 104, 94, 79, 86, 99, 102, 92, 77, 66, 59, 62, 70, 82, 90, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^27 ), ( 12^54 ) }
Outer automorphisms :: reflexible
Dual of E22.1119
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 9
	degree seq :: [ 27^2, 54 ]

E22.1111 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-3, T2^9 * T1 * T2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-2 * T2^15 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 46, 50, 40, 24, 12, 4, 10, 20, 34, 26, 42, 52, 49, 39, 23, 11, 21, 35, 28, 14, 27, 43, 53, 48, 38, 22, 36, 30, 16, 6, 15, 29, 44, 54, 47, 37, 32, 18, 8, 2, 7, 17, 31, 45, 51, 41, 25, 13, 5)(55, 56, 60, 68, 80, 87, 99, 108, 102, 93, 78, 67, 72, 84, 89, 74, 63, 71, 83, 97, 106, 104, 95, 91, 76, 65, 58)(57, 61, 69, 81, 96, 100, 105, 101, 92, 77, 66, 59, 62, 70, 82, 88, 73, 85, 98, 107, 103, 94, 79, 86, 90, 75, 64)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 12^27 ), ( 12^54 ) }
Outer automorphisms :: reflexible
Dual of E22.1118
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 54 f = 9
	degree seq :: [ 27^2, 54 ]

E22.1112 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-9 * T2, (T1^-1 * T2^-1)^27 ]
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, 50, 41, 27)(22, 33, 44, 51, 46, 35)(25, 38, 48, 54, 49, 39)(34, 37, 47, 53, 52, 45)(55, 56, 60, 68, 79, 91, 87, 75, 64, 57, 61, 69, 80, 92, 101, 98, 86, 74, 63, 71, 82, 94, 102, 107, 105, 97, 85, 73, 84, 96, 104, 108, 106, 100, 90, 78, 67, 72, 83, 95, 103, 99, 89, 77, 66, 59, 62, 70, 81, 93, 88, 76, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.1115
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.1113 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 27, 54})
Quotient :: edge
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-9 * T2^-1, T2^2 * T1^-1 * T2 * T1^-3 * T2^3 * T1^4, (T1^-1 * T2^-1)^27 ]
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, 50, 41, 27)(22, 33, 44, 51, 46, 35)(25, 38, 48, 54, 49, 39)(34, 45, 52, 53, 47, 37)(55, 56, 60, 68, 79, 91, 89, 77, 66, 59, 62, 70, 81, 93, 101, 100, 90, 78, 67, 72, 83, 95, 103, 107, 105, 97, 85, 73, 84, 96, 104, 108, 106, 98, 86, 74, 63, 71, 82, 94, 102, 99, 87, 75, 64, 57, 61, 69, 80, 92, 88, 76, 65, 58)
	L = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)
	local type(s) :: { ( 54^6 ), ( 54^54 ) }
Outer automorphisms :: reflexible
Dual of E22.1114
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 54 f = 2
	degree seq :: [ 6^9, 54 ]

E22.1114 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^2 * T2^9 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 31, 85, 43, 97, 46, 100, 34, 88, 22, 76, 11, 65, 21, 75, 33, 87, 45, 99, 54, 108, 51, 105, 40, 94, 28, 82, 16, 70, 6, 60, 15, 69, 27, 81, 39, 93, 48, 102, 36, 90, 24, 78, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 47, 101, 35, 89, 23, 77, 12, 66, 4, 58, 10, 64, 20, 74, 32, 86, 44, 98, 53, 107, 50, 104, 38, 92, 26, 80, 14, 68, 25, 79, 37, 91, 49, 103, 52, 106, 42, 96, 30, 84, 18, 72, 8, 62)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 65)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 63)(21, 64)(22, 66)(23, 67)(24, 84)(25, 75)(26, 76)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 73)(33, 74)(34, 77)(35, 78)(36, 96)(37, 87)(38, 88)(39, 103)(40, 104)(41, 102)(42, 105)(43, 101)(44, 85)(45, 86)(46, 89)(47, 90)(48, 106)(49, 99)(50, 100)(51, 107)(52, 108)(53, 97)(54, 98)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1113
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.1115 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T1^-2 * T2^9 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 31, 85, 43, 97, 40, 94, 28, 82, 16, 70, 6, 60, 15, 69, 27, 81, 39, 93, 51, 105, 53, 107, 46, 100, 34, 88, 22, 76, 11, 65, 21, 75, 33, 87, 45, 99, 48, 102, 36, 90, 24, 78, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 29, 83, 41, 95, 52, 106, 50, 104, 38, 92, 26, 80, 14, 68, 25, 79, 37, 91, 49, 103, 54, 108, 47, 101, 35, 89, 23, 77, 12, 66, 4, 58, 10, 64, 20, 74, 32, 86, 44, 98, 42, 96, 30, 84, 18, 72, 8, 62)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 65)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 63)(21, 64)(22, 66)(23, 67)(24, 84)(25, 75)(26, 76)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 73)(33, 74)(34, 77)(35, 78)(36, 96)(37, 87)(38, 88)(39, 103)(40, 104)(41, 105)(42, 97)(43, 106)(44, 85)(45, 86)(46, 89)(47, 90)(48, 98)(49, 99)(50, 100)(51, 108)(52, 107)(53, 101)(54, 102)
	local type(s) :: { ( 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54, 6, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1112
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 54 f = 10
	degree seq :: [ 54^2 ]

E22.1116 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-8 * T1, T1^5 * T2^-1 * T1 * T2^-1 * T1, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 46, 100, 45, 99, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 44, 98, 54, 108, 48, 102, 37, 91, 28, 82, 14, 68, 27, 81, 43, 97, 53, 107, 49, 103, 38, 92, 22, 76, 36, 90, 26, 80, 42, 96, 52, 106, 50, 104, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 47, 101, 51, 105, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 89)(27, 96)(28, 90)(29, 97)(30, 91)(31, 98)(32, 99)(33, 100)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 87)(42, 101)(43, 106)(44, 107)(45, 102)(46, 108)(47, 88)(48, 92)(49, 93)(50, 94)(51, 95)(52, 105)(53, 104)(54, 103)
	local type(s) :: { ( 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27 ) }
Outer automorphisms :: reflexible
Dual of E22.1108
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 11
	degree seq :: [ 108 ]

E22.1117 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^4 * T2^-1 * T1 * T2^-3, T2^9 * T1 * T2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-2 * T2^15 * T1^-1 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 33, 87, 46, 100, 50, 104, 40, 94, 24, 78, 12, 66, 4, 58, 10, 64, 20, 74, 34, 88, 26, 80, 42, 96, 52, 106, 49, 103, 39, 93, 23, 77, 11, 65, 21, 75, 35, 89, 28, 82, 14, 68, 27, 81, 43, 97, 53, 107, 48, 102, 38, 92, 22, 76, 36, 90, 30, 84, 16, 70, 6, 60, 15, 69, 29, 83, 44, 98, 54, 108, 47, 101, 37, 91, 32, 86, 18, 72, 8, 62, 2, 56, 7, 61, 17, 71, 31, 85, 45, 99, 51, 105, 41, 95, 25, 79, 13, 67, 5, 59)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 86)(26, 87)(27, 96)(28, 88)(29, 97)(30, 89)(31, 98)(32, 90)(33, 99)(34, 73)(35, 74)(36, 75)(37, 76)(38, 77)(39, 78)(40, 79)(41, 91)(42, 100)(43, 106)(44, 107)(45, 108)(46, 105)(47, 92)(48, 93)(49, 94)(50, 95)(51, 101)(52, 104)(53, 103)(54, 102)
	local type(s) :: { ( 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27, 6, 27 ) }
Outer automorphisms :: reflexible
Dual of E22.1109
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 54 f = 11
	degree seq :: [ 108 ]

E22.1118 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-9 * T2, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 30, 84, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 31, 85, 24, 78, 12, 66)(6, 60, 15, 69, 28, 82, 42, 96, 29, 83, 16, 70)(11, 65, 21, 75, 32, 86, 43, 97, 36, 90, 23, 77)(14, 68, 26, 80, 40, 94, 50, 104, 41, 95, 27, 81)(22, 76, 33, 87, 44, 98, 51, 105, 46, 100, 35, 89)(25, 79, 38, 92, 48, 102, 54, 108, 49, 103, 39, 93)(34, 88, 37, 91, 47, 101, 53, 107, 52, 106, 45, 99)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 87)(38, 101)(39, 88)(40, 102)(41, 103)(42, 104)(43, 85)(44, 86)(45, 89)(46, 90)(47, 98)(48, 107)(49, 99)(50, 108)(51, 97)(52, 100)(53, 105)(54, 106)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1111
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 3
	degree seq :: [ 12^9 ]

E22.1119 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 27, 54})
Quotient :: loop
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-9 * T2^-1, T2^2 * T1^-1 * T2 * T1^-3 * T2^3 * T1^4, (T1^-1 * T2^-1)^27 ]
Map:: non-degenerate
	R = (1, 55, 3, 57, 9, 63, 19, 73, 13, 67, 5, 59)(2, 56, 7, 61, 17, 71, 30, 84, 18, 72, 8, 62)(4, 58, 10, 64, 20, 74, 31, 85, 24, 78, 12, 66)(6, 60, 15, 69, 28, 82, 42, 96, 29, 83, 16, 70)(11, 65, 21, 75, 32, 86, 43, 97, 36, 90, 23, 77)(14, 68, 26, 80, 40, 94, 50, 104, 41, 95, 27, 81)(22, 76, 33, 87, 44, 98, 51, 105, 46, 100, 35, 89)(25, 79, 38, 92, 48, 102, 54, 108, 49, 103, 39, 93)(34, 88, 45, 99, 52, 106, 53, 107, 47, 101, 37, 91)
	L = (1, 56)(2, 60)(3, 61)(4, 55)(5, 62)(6, 68)(7, 69)(8, 70)(9, 71)(10, 57)(11, 58)(12, 59)(13, 72)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 84)(20, 63)(21, 64)(22, 65)(23, 66)(24, 67)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 89)(38, 88)(39, 101)(40, 102)(41, 103)(42, 104)(43, 85)(44, 86)(45, 87)(46, 90)(47, 100)(48, 99)(49, 107)(50, 108)(51, 97)(52, 98)(53, 105)(54, 106)
	local type(s) :: { ( 27, 54, 27, 54, 27, 54, 27, 54, 27, 54, 27, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1110
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 54 f = 3
	degree seq :: [ 12^9 ]

E22.1120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y1^6, Y1 * Y2^-3 * Y1 * Y2^2 * Y3 * Y2 * Y3, Y2^2 * Y3 * Y2 * Y3 * Y2^6, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 25, 79, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 26, 80, 22, 76, 12, 66)(9, 63, 17, 71, 27, 81, 37, 91, 33, 87, 20, 74)(13, 67, 18, 72, 28, 82, 38, 92, 34, 88, 23, 77)(19, 73, 29, 83, 39, 93, 49, 103, 45, 99, 32, 86)(24, 78, 30, 84, 40, 94, 50, 104, 46, 100, 35, 89)(31, 85, 41, 95, 51, 105, 54, 108, 48, 102, 44, 98)(36, 90, 42, 96, 43, 97, 52, 106, 53, 107, 47, 101)(109, 163, 111, 165, 117, 171, 127, 181, 139, 193, 151, 205, 148, 202, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 147, 201, 159, 213, 161, 215, 154, 208, 142, 196, 130, 184, 119, 173, 129, 183, 141, 195, 153, 207, 156, 210, 144, 198, 132, 186, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 160, 214, 158, 212, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 157, 211, 162, 216, 155, 209, 143, 197, 131, 185, 120, 174, 112, 166, 118, 172, 128, 182, 140, 194, 152, 206, 150, 204, 138, 192, 126, 180, 116, 170)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 122)(12, 130)(13, 131)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 133)(22, 134)(23, 142)(24, 143)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 132)(31, 152)(32, 153)(33, 145)(34, 146)(35, 154)(36, 155)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 144)(43, 150)(44, 156)(45, 157)(46, 158)(47, 161)(48, 162)(49, 147)(50, 148)(51, 149)(52, 151)(53, 160)(54, 159)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E22.1126
Graph:: bipartite
	v = 11 e = 108 f = 55
	degree seq :: [ 12^9, 54^2 ]

E22.1121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y2, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y1^6, Y2^9 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 25, 79, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 26, 80, 22, 76, 12, 66)(9, 63, 17, 71, 27, 81, 37, 91, 33, 87, 20, 74)(13, 67, 18, 72, 28, 82, 38, 92, 34, 88, 23, 77)(19, 73, 29, 83, 39, 93, 49, 103, 45, 99, 32, 86)(24, 78, 30, 84, 40, 94, 50, 104, 46, 100, 35, 89)(31, 85, 41, 95, 48, 102, 52, 106, 54, 108, 44, 98)(36, 90, 42, 96, 51, 105, 53, 107, 43, 97, 47, 101)(109, 163, 111, 165, 117, 171, 127, 181, 139, 193, 151, 205, 154, 208, 142, 196, 130, 184, 119, 173, 129, 183, 141, 195, 153, 207, 162, 216, 159, 213, 148, 202, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 147, 201, 156, 210, 144, 198, 132, 186, 121, 175, 113, 167)(110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 155, 209, 143, 197, 131, 185, 120, 174, 112, 166, 118, 172, 128, 182, 140, 194, 152, 206, 161, 215, 158, 212, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 157, 211, 160, 214, 150, 204, 138, 192, 126, 180, 116, 170)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 122)(12, 130)(13, 131)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 133)(22, 134)(23, 142)(24, 143)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 132)(31, 152)(32, 153)(33, 145)(34, 146)(35, 154)(36, 155)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 144)(43, 161)(44, 162)(45, 157)(46, 158)(47, 151)(48, 149)(49, 147)(50, 148)(51, 150)(52, 156)(53, 159)(54, 160)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ), ( 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108, 2, 108 ) }
Outer automorphisms :: reflexible
Dual of E22.1127
Graph:: bipartite
	v = 11 e = 108 f = 55
	degree seq :: [ 12^9, 54^2 ]

E22.1122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1^4, Y2^-1 * Y1 * Y2^-7, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 52, 106, 51, 105, 41, 95, 33, 87, 46, 100, 54, 108, 49, 103, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 47, 101, 34, 88, 19, 73, 31, 85, 44, 98, 53, 107, 50, 104, 40, 94, 25, 79, 32, 86, 45, 99, 48, 102, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 36, 90, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 154, 208, 153, 207, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 152, 206, 162, 216, 156, 210, 145, 199, 136, 190, 122, 176, 135, 189, 151, 205, 161, 215, 157, 211, 146, 200, 130, 184, 144, 198, 134, 188, 150, 204, 160, 214, 158, 212, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 155, 209, 159, 213, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 150)(27, 151)(28, 122)(29, 152)(30, 124)(31, 154)(32, 126)(33, 140)(34, 149)(35, 155)(36, 134)(37, 136)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 161)(44, 162)(45, 138)(46, 153)(47, 159)(48, 145)(49, 146)(50, 147)(51, 148)(52, 158)(53, 157)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	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, 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 E22.1124
Graph:: bipartite
	v = 3 e = 108 f = 63
	degree seq :: [ 54^2, 108 ]

E22.1123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y1^4 * Y2^-1 * Y1 * Y2^-3, Y2^9 * Y1 * Y2, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 33, 87, 45, 99, 54, 108, 48, 102, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 52, 106, 50, 104, 41, 95, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 46, 100, 51, 105, 47, 101, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 34, 88, 19, 73, 31, 85, 44, 98, 53, 107, 49, 103, 40, 94, 25, 79, 32, 86, 36, 90, 21, 75, 10, 64)(109, 163, 111, 165, 117, 171, 127, 181, 141, 195, 154, 208, 158, 212, 148, 202, 132, 186, 120, 174, 112, 166, 118, 172, 128, 182, 142, 196, 134, 188, 150, 204, 160, 214, 157, 211, 147, 201, 131, 185, 119, 173, 129, 183, 143, 197, 136, 190, 122, 176, 135, 189, 151, 205, 161, 215, 156, 210, 146, 200, 130, 184, 144, 198, 138, 192, 124, 178, 114, 168, 123, 177, 137, 191, 152, 206, 162, 216, 155, 209, 145, 199, 140, 194, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 139, 193, 153, 207, 159, 213, 149, 203, 133, 187, 121, 175, 113, 167)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 150)(27, 151)(28, 122)(29, 152)(30, 124)(31, 153)(32, 126)(33, 154)(34, 134)(35, 136)(36, 138)(37, 140)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 161)(44, 162)(45, 159)(46, 158)(47, 145)(48, 146)(49, 147)(50, 148)(51, 149)(52, 157)(53, 156)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	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, 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 E22.1125
Graph:: bipartite
	v = 3 e = 108 f = 63
	degree seq :: [ 54^2, 108 ]

E22.1124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^6, Y2 * Y3^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 133, 187, 129, 183, 118, 172)(113, 167, 116, 170, 124, 178, 134, 188, 130, 184, 120, 174)(117, 171, 125, 179, 135, 189, 145, 199, 141, 195, 128, 182)(121, 175, 126, 180, 136, 190, 146, 200, 142, 196, 131, 185)(127, 181, 137, 191, 147, 201, 155, 209, 152, 206, 140, 194)(132, 186, 138, 192, 148, 202, 156, 210, 153, 207, 143, 197)(139, 193, 149, 203, 157, 211, 161, 215, 159, 213, 151, 205)(144, 198, 150, 204, 158, 212, 162, 216, 160, 214, 154, 208)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 133)(15, 135)(16, 114)(17, 137)(18, 116)(19, 139)(20, 140)(21, 141)(22, 119)(23, 120)(24, 121)(25, 145)(26, 122)(27, 147)(28, 124)(29, 149)(30, 126)(31, 150)(32, 151)(33, 152)(34, 130)(35, 131)(36, 132)(37, 155)(38, 134)(39, 157)(40, 136)(41, 158)(42, 138)(43, 144)(44, 159)(45, 142)(46, 143)(47, 161)(48, 146)(49, 162)(50, 148)(51, 154)(52, 153)(53, 160)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E22.1122
Graph:: simple bipartite
	v = 63 e = 108 f = 3
	degree seq :: [ 2^54, 12^9 ]

E22.1125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^6, Y2^-1 * Y3^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^54 ]
Map::
	R = (1, 55)(2, 56)(3, 57)(4, 58)(5, 59)(6, 60)(7, 61)(8, 62)(9, 63)(10, 64)(11, 65)(12, 66)(13, 67)(14, 68)(15, 69)(16, 70)(17, 71)(18, 72)(19, 73)(20, 74)(21, 75)(22, 76)(23, 77)(24, 78)(25, 79)(26, 80)(27, 81)(28, 82)(29, 83)(30, 84)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 91)(38, 92)(39, 93)(40, 94)(41, 95)(42, 96)(43, 97)(44, 98)(45, 99)(46, 100)(47, 101)(48, 102)(49, 103)(50, 104)(51, 105)(52, 106)(53, 107)(54, 108)(109, 163, 110, 164, 114, 168, 122, 176, 119, 173, 112, 166)(111, 165, 115, 169, 123, 177, 133, 187, 129, 183, 118, 172)(113, 167, 116, 170, 124, 178, 134, 188, 130, 184, 120, 174)(117, 171, 125, 179, 135, 189, 145, 199, 141, 195, 128, 182)(121, 175, 126, 180, 136, 190, 146, 200, 142, 196, 131, 185)(127, 181, 137, 191, 147, 201, 155, 209, 153, 207, 140, 194)(132, 186, 138, 192, 148, 202, 156, 210, 154, 208, 143, 197)(139, 193, 149, 203, 157, 211, 161, 215, 160, 214, 152, 206)(144, 198, 150, 204, 158, 212, 162, 216, 159, 213, 151, 205)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 133)(15, 135)(16, 114)(17, 137)(18, 116)(19, 139)(20, 140)(21, 141)(22, 119)(23, 120)(24, 121)(25, 145)(26, 122)(27, 147)(28, 124)(29, 149)(30, 126)(31, 151)(32, 152)(33, 153)(34, 130)(35, 131)(36, 132)(37, 155)(38, 134)(39, 157)(40, 136)(41, 144)(42, 138)(43, 143)(44, 159)(45, 160)(46, 142)(47, 161)(48, 146)(49, 150)(50, 148)(51, 154)(52, 162)(53, 158)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 54, 108 ), ( 54, 108, 54, 108, 54, 108, 54, 108, 54, 108, 54, 108 ) }
Outer automorphisms :: reflexible
Dual of E22.1123
Graph:: simple bipartite
	v = 63 e = 108 f = 3
	degree seq :: [ 2^54, 12^9 ]

E22.1126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^6, Y1^-9 * Y3, (Y3 * Y2^-1)^6, (Y1^-1 * Y3^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 25, 79, 37, 91, 33, 87, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 26, 80, 38, 92, 47, 101, 44, 98, 32, 86, 20, 74, 9, 63, 17, 71, 28, 82, 40, 94, 48, 102, 53, 107, 51, 105, 43, 97, 31, 85, 19, 73, 30, 84, 42, 96, 50, 104, 54, 108, 52, 106, 46, 100, 36, 90, 24, 78, 13, 67, 18, 72, 29, 83, 41, 95, 49, 103, 45, 99, 35, 89, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 27, 81, 39, 93, 34, 88, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 134)(15, 136)(16, 114)(17, 138)(18, 116)(19, 121)(20, 139)(21, 140)(22, 141)(23, 119)(24, 120)(25, 146)(26, 148)(27, 122)(28, 150)(29, 124)(30, 126)(31, 132)(32, 151)(33, 152)(34, 145)(35, 130)(36, 131)(37, 155)(38, 156)(39, 133)(40, 158)(41, 135)(42, 137)(43, 144)(44, 159)(45, 142)(46, 143)(47, 161)(48, 162)(49, 147)(50, 149)(51, 154)(52, 153)(53, 160)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 54 ), ( 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1120
Graph:: bipartite
	v = 55 e = 108 f = 11
	degree seq :: [ 2^54, 108 ]

E22.1127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^6, Y1^-9 * Y3^-1, (Y3 * Y2^-1)^6, Y3^2 * Y1^-1 * Y3 * Y1^-3 * Y3^3 * Y1^4, (Y1^-1 * Y3^-1)^27 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 25, 79, 37, 91, 35, 89, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 27, 81, 39, 93, 47, 101, 46, 100, 36, 90, 24, 78, 13, 67, 18, 72, 29, 83, 41, 95, 49, 103, 53, 107, 51, 105, 43, 97, 31, 85, 19, 73, 30, 84, 42, 96, 50, 104, 54, 108, 52, 106, 44, 98, 32, 86, 20, 74, 9, 63, 17, 71, 28, 82, 40, 94, 48, 102, 45, 99, 33, 87, 21, 75, 10, 64, 3, 57, 7, 61, 15, 69, 26, 80, 38, 92, 34, 88, 22, 76, 11, 65, 4, 58)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 134)(15, 136)(16, 114)(17, 138)(18, 116)(19, 121)(20, 139)(21, 140)(22, 141)(23, 119)(24, 120)(25, 146)(26, 148)(27, 122)(28, 150)(29, 124)(30, 126)(31, 132)(32, 151)(33, 152)(34, 153)(35, 130)(36, 131)(37, 142)(38, 156)(39, 133)(40, 158)(41, 135)(42, 137)(43, 144)(44, 159)(45, 160)(46, 143)(47, 145)(48, 162)(49, 147)(50, 149)(51, 154)(52, 161)(53, 155)(54, 157)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 54 ), ( 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54, 12, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1121
Graph:: bipartite
	v = 55 e = 108 f = 11
	degree seq :: [ 2^54, 108 ]

E22.1128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y1^6, Y3^6, Y3 * Y2^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 25, 79, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 26, 80, 22, 76, 12, 66)(9, 63, 17, 71, 27, 81, 37, 91, 33, 87, 20, 74)(13, 67, 18, 72, 28, 82, 38, 92, 34, 88, 23, 77)(19, 73, 29, 83, 39, 93, 47, 101, 45, 99, 32, 86)(24, 78, 30, 84, 40, 94, 48, 102, 46, 100, 35, 89)(31, 85, 41, 95, 49, 103, 53, 107, 52, 106, 44, 98)(36, 90, 42, 96, 50, 104, 54, 108, 51, 105, 43, 97)(109, 163, 111, 165, 117, 171, 127, 181, 139, 193, 151, 205, 143, 197, 131, 185, 120, 174, 112, 166, 118, 172, 128, 182, 140, 194, 152, 206, 159, 213, 154, 208, 142, 196, 130, 184, 119, 173, 129, 183, 141, 195, 153, 207, 160, 214, 162, 216, 156, 210, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 155, 209, 161, 215, 158, 212, 148, 202, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 147, 201, 157, 211, 150, 204, 138, 192, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 144, 198, 132, 186, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 122)(12, 130)(13, 131)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 133)(22, 134)(23, 142)(24, 143)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 132)(31, 152)(32, 153)(33, 145)(34, 146)(35, 154)(36, 151)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 144)(43, 159)(44, 160)(45, 155)(46, 156)(47, 147)(48, 148)(49, 149)(50, 150)(51, 162)(52, 161)(53, 157)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1130
Graph:: bipartite
	v = 10 e = 108 f = 56
	degree seq :: [ 12^9, 108 ]

E22.1129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (R * Y2)^2, (Y3^-1, Y2^-1), Y3^6, Y1^6, Y3^-1 * Y2^-9, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 55, 2, 56, 6, 60, 14, 68, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 25, 79, 21, 75, 10, 64)(5, 59, 8, 62, 16, 70, 26, 80, 22, 76, 12, 66)(9, 63, 17, 71, 27, 81, 37, 91, 33, 87, 20, 74)(13, 67, 18, 72, 28, 82, 38, 92, 34, 88, 23, 77)(19, 73, 29, 83, 39, 93, 47, 101, 44, 98, 32, 86)(24, 78, 30, 84, 40, 94, 48, 102, 45, 99, 35, 89)(31, 85, 41, 95, 49, 103, 53, 107, 51, 105, 43, 97)(36, 90, 42, 96, 50, 104, 54, 108, 52, 106, 46, 100)(109, 163, 111, 165, 117, 171, 127, 181, 139, 193, 150, 204, 138, 192, 126, 180, 116, 170, 110, 164, 115, 169, 125, 179, 137, 191, 149, 203, 158, 212, 148, 202, 136, 190, 124, 178, 114, 168, 123, 177, 135, 189, 147, 201, 157, 211, 162, 216, 156, 210, 146, 200, 134, 188, 122, 176, 133, 187, 145, 199, 155, 209, 161, 215, 160, 214, 153, 207, 142, 196, 130, 184, 119, 173, 129, 183, 141, 195, 152, 206, 159, 213, 154, 208, 143, 197, 131, 185, 120, 174, 112, 166, 118, 172, 128, 182, 140, 194, 151, 205, 144, 198, 132, 186, 121, 175, 113, 167)
	L = (1, 112)(2, 109)(3, 118)(4, 119)(5, 120)(6, 110)(7, 111)(8, 113)(9, 128)(10, 129)(11, 122)(12, 130)(13, 131)(14, 114)(15, 115)(16, 116)(17, 117)(18, 121)(19, 140)(20, 141)(21, 133)(22, 134)(23, 142)(24, 143)(25, 123)(26, 124)(27, 125)(28, 126)(29, 127)(30, 132)(31, 151)(32, 152)(33, 145)(34, 146)(35, 153)(36, 154)(37, 135)(38, 136)(39, 137)(40, 138)(41, 139)(42, 144)(43, 159)(44, 155)(45, 156)(46, 160)(47, 147)(48, 148)(49, 149)(50, 150)(51, 161)(52, 162)(53, 157)(54, 158)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ), ( 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54, 2, 54 ) }
Outer automorphisms :: reflexible
Dual of E22.1131
Graph:: bipartite
	v = 10 e = 108 f = 56
	degree seq :: [ 12^9, 108 ]

E22.1130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-8 * Y1, Y1^5 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y1^-1 * Y3^-1)^6, (Y3 * Y2^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 52, 106, 51, 105, 41, 95, 33, 87, 46, 100, 54, 108, 49, 103, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 47, 101, 34, 88, 19, 73, 31, 85, 44, 98, 53, 107, 50, 104, 40, 94, 25, 79, 32, 86, 45, 99, 48, 102, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 36, 90, 21, 75, 10, 64)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 150)(27, 151)(28, 122)(29, 152)(30, 124)(31, 154)(32, 126)(33, 140)(34, 149)(35, 155)(36, 134)(37, 136)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 161)(44, 162)(45, 138)(46, 153)(47, 159)(48, 145)(49, 146)(50, 147)(51, 148)(52, 158)(53, 157)(54, 156)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 108 ), ( 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108 ) }
Outer automorphisms :: reflexible
Dual of E22.1128
Graph:: simple bipartite
	v = 56 e = 108 f = 10
	degree seq :: [ 2^54, 54^2 ]

E22.1131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 27, 54})
Quotient :: dipole
Aut^+ = C54 (small group id <54, 2>)
Aut   = D108 (small group id <108, 4>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^-1 * Y1 * Y3^-3, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3^15 * Y1^-1, (Y3 * Y2^-1)^54 ]
Map::
	R = (1, 55, 2, 56, 6, 60, 14, 68, 26, 80, 33, 87, 45, 99, 54, 108, 48, 102, 39, 93, 24, 78, 13, 67, 18, 72, 30, 84, 35, 89, 20, 74, 9, 63, 17, 71, 29, 83, 43, 97, 52, 106, 50, 104, 41, 95, 37, 91, 22, 76, 11, 65, 4, 58)(3, 57, 7, 61, 15, 69, 27, 81, 42, 96, 46, 100, 51, 105, 47, 101, 38, 92, 23, 77, 12, 66, 5, 59, 8, 62, 16, 70, 28, 82, 34, 88, 19, 73, 31, 85, 44, 98, 53, 107, 49, 103, 40, 94, 25, 79, 32, 86, 36, 90, 21, 75, 10, 64)(109, 163)(110, 164)(111, 165)(112, 166)(113, 167)(114, 168)(115, 169)(116, 170)(117, 171)(118, 172)(119, 173)(120, 174)(121, 175)(122, 176)(123, 177)(124, 178)(125, 179)(126, 180)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 187)(134, 188)(135, 189)(136, 190)(137, 191)(138, 192)(139, 193)(140, 194)(141, 195)(142, 196)(143, 197)(144, 198)(145, 199)(146, 200)(147, 201)(148, 202)(149, 203)(150, 204)(151, 205)(152, 206)(153, 207)(154, 208)(155, 209)(156, 210)(157, 211)(158, 212)(159, 213)(160, 214)(161, 215)(162, 216)
	L = (1, 111)(2, 115)(3, 117)(4, 118)(5, 109)(6, 123)(7, 125)(8, 110)(9, 127)(10, 128)(11, 129)(12, 112)(13, 113)(14, 135)(15, 137)(16, 114)(17, 139)(18, 116)(19, 141)(20, 142)(21, 143)(22, 144)(23, 119)(24, 120)(25, 121)(26, 150)(27, 151)(28, 122)(29, 152)(30, 124)(31, 153)(32, 126)(33, 154)(34, 134)(35, 136)(36, 138)(37, 140)(38, 130)(39, 131)(40, 132)(41, 133)(42, 160)(43, 161)(44, 162)(45, 159)(46, 158)(47, 145)(48, 146)(49, 147)(50, 148)(51, 149)(52, 157)(53, 156)(54, 155)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 12, 108 ), ( 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108, 12, 108 ) }
Outer automorphisms :: reflexible
Dual of E22.1129
Graph:: simple bipartite
	v = 56 e = 108 f = 10
	degree seq :: [ 2^54, 54^2 ]

E22.1132 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 55, 55})
Quotient :: edge
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^11, (T1^-1 * T2^-1)^55 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 53, 45, 35, 25, 15, 6, 14, 24, 34, 44, 52, 55, 50, 41, 31, 21, 11, 20, 30, 40, 49, 54, 51, 42, 32, 22, 12, 4, 10, 19, 29, 39, 48, 43, 33, 23, 13, 5)(56, 57, 61, 66, 59)(58, 62, 69, 75, 65)(60, 63, 70, 76, 67)(64, 71, 79, 85, 74)(68, 72, 80, 86, 77)(73, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 104, 94)(88, 92, 100, 105, 97)(93, 101, 107, 109, 103)(98, 102, 108, 110, 106)
	L = (1, 56)(2, 57)(3, 58)(4, 59)(5, 60)(6, 61)(7, 62)(8, 63)(9, 64)(10, 65)(11, 66)(12, 67)(13, 68)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 80)(26, 81)(27, 82)(28, 83)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 89)(35, 90)(36, 91)(37, 92)(38, 93)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 99)(45, 100)(46, 101)(47, 102)(48, 103)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 109)(55, 110)
	local type(s) :: { ( 110^5 ), ( 110^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1138
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 55 f = 1
	degree seq :: [ 5^11, 55 ]

E22.1133 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 55, 55})
Quotient :: edge
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^5, T1^2 * T2^-11, (T1^-1 * T2^-1)^55 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 45, 35, 25, 15, 6, 14, 24, 34, 44, 54, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 55, 51, 41, 31, 21, 11, 20, 30, 40, 50, 53, 43, 33, 23, 13, 5)(56, 57, 61, 66, 59)(58, 62, 69, 75, 65)(60, 63, 70, 76, 67)(64, 71, 79, 85, 74)(68, 72, 80, 86, 77)(73, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 109, 108, 104)(98, 102, 103, 110, 107)
	L = (1, 56)(2, 57)(3, 58)(4, 59)(5, 60)(6, 61)(7, 62)(8, 63)(9, 64)(10, 65)(11, 66)(12, 67)(13, 68)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 80)(26, 81)(27, 82)(28, 83)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 89)(35, 90)(36, 91)(37, 92)(38, 93)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 99)(45, 100)(46, 101)(47, 102)(48, 103)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 109)(55, 110)
	local type(s) :: { ( 110^5 ), ( 110^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1137
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 55 f = 1
	degree seq :: [ 5^11, 55 ]

E22.1134 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 55, 55})
Quotient :: edge
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T1^5, T1^5, T2^11 * T1^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 51, 41, 31, 21, 11, 20, 30, 40, 50, 55, 47, 37, 27, 17, 8, 2, 7, 16, 26, 36, 46, 52, 42, 32, 22, 12, 4, 10, 19, 29, 39, 49, 54, 45, 35, 25, 15, 6, 14, 24, 34, 44, 53, 43, 33, 23, 13, 5)(56, 57, 61, 66, 59)(58, 62, 69, 75, 65)(60, 63, 70, 76, 67)(64, 71, 79, 85, 74)(68, 72, 80, 86, 77)(73, 81, 89, 95, 84)(78, 82, 90, 96, 87)(83, 91, 99, 105, 94)(88, 92, 100, 106, 97)(93, 101, 108, 110, 104)(98, 102, 109, 103, 107)
	L = (1, 56)(2, 57)(3, 58)(4, 59)(5, 60)(6, 61)(7, 62)(8, 63)(9, 64)(10, 65)(11, 66)(12, 67)(13, 68)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 80)(26, 81)(27, 82)(28, 83)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 89)(35, 90)(36, 91)(37, 92)(38, 93)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 99)(45, 100)(46, 101)(47, 102)(48, 103)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 109)(55, 110)
	local type(s) :: { ( 110^5 ), ( 110^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1136
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 55 f = 1
	degree seq :: [ 5^11, 55 ]

E22.1135 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 55, 55})
Quotient :: edge
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (T1^-1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-5 * T2^-5, T1^7 * T2^-4, T2^32 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 42, 41, 25, 13, 5)(56, 57, 61, 69, 81, 97, 107, 88, 104, 93, 78, 67, 60, 63, 71, 83, 99, 108, 89, 74, 86, 102, 94, 79, 68, 73, 85, 101, 109, 90, 75, 64, 72, 84, 100, 95, 80, 87, 103, 110, 91, 76, 65, 58, 62, 70, 82, 98, 96, 105, 106, 92, 77, 66, 59)
	L = (1, 56)(2, 57)(3, 58)(4, 59)(5, 60)(6, 61)(7, 62)(8, 63)(9, 64)(10, 65)(11, 66)(12, 67)(13, 68)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 80)(26, 81)(27, 82)(28, 83)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 89)(35, 90)(36, 91)(37, 92)(38, 93)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 99)(45, 100)(46, 101)(47, 102)(48, 103)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 109)(55, 110)
	local type(s) :: { ( 10^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1139
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 55 f = 11
	degree seq :: [ 55^2 ]

E22.1136 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 55, 55})
Quotient :: loop
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^-1 * T2^11, (T1^-1 * T2^-1)^55 ]
Map:: non-degenerate
	R = (1, 56, 3, 58, 9, 64, 18, 73, 28, 83, 38, 93, 47, 102, 37, 92, 27, 82, 17, 72, 8, 63, 2, 57, 7, 62, 16, 71, 26, 81, 36, 91, 46, 101, 53, 108, 45, 100, 35, 90, 25, 80, 15, 70, 6, 61, 14, 69, 24, 79, 34, 89, 44, 99, 52, 107, 55, 110, 50, 105, 41, 96, 31, 86, 21, 76, 11, 66, 20, 75, 30, 85, 40, 95, 49, 104, 54, 109, 51, 106, 42, 97, 32, 87, 22, 77, 12, 67, 4, 59, 10, 65, 19, 74, 29, 84, 39, 94, 48, 103, 43, 98, 33, 88, 23, 78, 13, 68, 5, 60)
	L = (1, 57)(2, 61)(3, 62)(4, 56)(5, 63)(6, 66)(7, 69)(8, 70)(9, 71)(10, 58)(11, 59)(12, 60)(13, 72)(14, 75)(15, 76)(16, 79)(17, 80)(18, 81)(19, 64)(20, 65)(21, 67)(22, 68)(23, 82)(24, 85)(25, 86)(26, 89)(27, 90)(28, 91)(29, 73)(30, 74)(31, 77)(32, 78)(33, 92)(34, 95)(35, 96)(36, 99)(37, 100)(38, 101)(39, 83)(40, 84)(41, 87)(42, 88)(43, 102)(44, 104)(45, 105)(46, 107)(47, 108)(48, 93)(49, 94)(50, 97)(51, 98)(52, 109)(53, 110)(54, 103)(55, 106)
	local type(s) :: { ( 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55 ) }
Outer automorphisms :: reflexible
Dual of E22.1134
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 55 f = 12
	degree seq :: [ 110 ]

E22.1137 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 55, 55})
Quotient :: loop
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T1^5, T1^2 * T2^-11, (T1^-1 * T2^-1)^55 ]
Map:: non-degenerate
	R = (1, 56, 3, 58, 9, 64, 18, 73, 28, 83, 38, 93, 48, 103, 45, 100, 35, 90, 25, 80, 15, 70, 6, 61, 14, 69, 24, 79, 34, 89, 44, 99, 54, 109, 52, 107, 42, 97, 32, 87, 22, 77, 12, 67, 4, 59, 10, 65, 19, 74, 29, 84, 39, 94, 49, 104, 47, 102, 37, 92, 27, 82, 17, 72, 8, 63, 2, 57, 7, 62, 16, 71, 26, 81, 36, 91, 46, 101, 55, 110, 51, 106, 41, 96, 31, 86, 21, 76, 11, 66, 20, 75, 30, 85, 40, 95, 50, 105, 53, 108, 43, 98, 33, 88, 23, 78, 13, 68, 5, 60)
	L = (1, 57)(2, 61)(3, 62)(4, 56)(5, 63)(6, 66)(7, 69)(8, 70)(9, 71)(10, 58)(11, 59)(12, 60)(13, 72)(14, 75)(15, 76)(16, 79)(17, 80)(18, 81)(19, 64)(20, 65)(21, 67)(22, 68)(23, 82)(24, 85)(25, 86)(26, 89)(27, 90)(28, 91)(29, 73)(30, 74)(31, 77)(32, 78)(33, 92)(34, 95)(35, 96)(36, 99)(37, 100)(38, 101)(39, 83)(40, 84)(41, 87)(42, 88)(43, 102)(44, 105)(45, 106)(46, 109)(47, 103)(48, 110)(49, 93)(50, 94)(51, 97)(52, 98)(53, 104)(54, 108)(55, 107)
	local type(s) :: { ( 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55 ) }
Outer automorphisms :: reflexible
Dual of E22.1133
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 55 f = 12
	degree seq :: [ 110 ]

E22.1138 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 55, 55})
Quotient :: loop
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T2^-1, T1), T1^5, T1^5, T2^11 * T1^2, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 56, 3, 58, 9, 64, 18, 73, 28, 83, 38, 93, 48, 103, 51, 106, 41, 96, 31, 86, 21, 76, 11, 66, 20, 75, 30, 85, 40, 95, 50, 105, 55, 110, 47, 102, 37, 92, 27, 82, 17, 72, 8, 63, 2, 57, 7, 62, 16, 71, 26, 81, 36, 91, 46, 101, 52, 107, 42, 97, 32, 87, 22, 77, 12, 67, 4, 59, 10, 65, 19, 74, 29, 84, 39, 94, 49, 104, 54, 109, 45, 100, 35, 90, 25, 80, 15, 70, 6, 61, 14, 69, 24, 79, 34, 89, 44, 99, 53, 108, 43, 98, 33, 88, 23, 78, 13, 68, 5, 60)
	L = (1, 57)(2, 61)(3, 62)(4, 56)(5, 63)(6, 66)(7, 69)(8, 70)(9, 71)(10, 58)(11, 59)(12, 60)(13, 72)(14, 75)(15, 76)(16, 79)(17, 80)(18, 81)(19, 64)(20, 65)(21, 67)(22, 68)(23, 82)(24, 85)(25, 86)(26, 89)(27, 90)(28, 91)(29, 73)(30, 74)(31, 77)(32, 78)(33, 92)(34, 95)(35, 96)(36, 99)(37, 100)(38, 101)(39, 83)(40, 84)(41, 87)(42, 88)(43, 102)(44, 105)(45, 106)(46, 108)(47, 109)(48, 107)(49, 93)(50, 94)(51, 97)(52, 98)(53, 110)(54, 103)(55, 104)
	local type(s) :: { ( 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55, 5, 55 ) }
Outer automorphisms :: reflexible
Dual of E22.1132
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 55 f = 12
	degree seq :: [ 110 ]

E22.1139 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 55, 55})
Quotient :: loop
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^5, T1^-11 * T2, (T1^-1 * T2^-1)^55 ]
Map:: non-degenerate
	R = (1, 56, 3, 58, 9, 64, 13, 68, 5, 60)(2, 57, 7, 62, 17, 72, 18, 73, 8, 63)(4, 59, 10, 65, 19, 74, 23, 78, 12, 67)(6, 61, 15, 70, 27, 82, 28, 83, 16, 71)(11, 66, 20, 75, 29, 84, 33, 88, 22, 77)(14, 69, 25, 80, 37, 92, 38, 93, 26, 81)(21, 76, 30, 85, 39, 94, 43, 98, 32, 87)(24, 79, 35, 90, 47, 102, 48, 103, 36, 91)(31, 86, 40, 95, 49, 104, 51, 106, 42, 97)(34, 89, 45, 100, 53, 108, 54, 109, 46, 101)(41, 96, 44, 99, 52, 107, 55, 110, 50, 105)
	L = (1, 57)(2, 61)(3, 62)(4, 56)(5, 63)(6, 69)(7, 70)(8, 71)(9, 72)(10, 58)(11, 59)(12, 60)(13, 73)(14, 79)(15, 80)(16, 81)(17, 82)(18, 83)(19, 64)(20, 65)(21, 66)(22, 67)(23, 68)(24, 89)(25, 90)(26, 91)(27, 92)(28, 93)(29, 74)(30, 75)(31, 76)(32, 77)(33, 78)(34, 99)(35, 100)(36, 101)(37, 102)(38, 103)(39, 84)(40, 85)(41, 86)(42, 87)(43, 88)(44, 95)(45, 107)(46, 96)(47, 108)(48, 109)(49, 94)(50, 97)(51, 98)(52, 104)(53, 110)(54, 105)(55, 106)
	local type(s) :: { ( 55^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1135
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 55 f = 2
	degree seq :: [ 10^11 ]

E22.1140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^5, Y2^11 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 56, 2, 57, 6, 61, 11, 66, 4, 59)(3, 58, 7, 62, 14, 69, 20, 75, 10, 65)(5, 60, 8, 63, 15, 70, 21, 76, 12, 67)(9, 64, 16, 71, 24, 79, 30, 85, 19, 74)(13, 68, 17, 72, 25, 80, 31, 86, 22, 77)(18, 73, 26, 81, 34, 89, 40, 95, 29, 84)(23, 78, 27, 82, 35, 90, 41, 96, 32, 87)(28, 83, 36, 91, 44, 99, 49, 104, 39, 94)(33, 88, 37, 92, 45, 100, 50, 105, 42, 97)(38, 93, 46, 101, 52, 107, 54, 109, 48, 103)(43, 98, 47, 102, 53, 108, 55, 110, 51, 106)(111, 166, 113, 168, 119, 174, 128, 183, 138, 193, 148, 203, 157, 212, 147, 202, 137, 192, 127, 182, 118, 173, 112, 167, 117, 172, 126, 181, 136, 191, 146, 201, 156, 211, 163, 218, 155, 210, 145, 200, 135, 190, 125, 180, 116, 171, 124, 179, 134, 189, 144, 199, 154, 209, 162, 217, 165, 220, 160, 215, 151, 206, 141, 196, 131, 186, 121, 176, 130, 185, 140, 195, 150, 205, 159, 214, 164, 219, 161, 216, 152, 207, 142, 197, 132, 187, 122, 177, 114, 169, 120, 175, 129, 184, 139, 194, 149, 204, 158, 213, 153, 208, 143, 198, 133, 188, 123, 178, 115, 170)
	L = (1, 114)(2, 111)(3, 120)(4, 121)(5, 122)(6, 112)(7, 113)(8, 115)(9, 129)(10, 130)(11, 116)(12, 131)(13, 132)(14, 117)(15, 118)(16, 119)(17, 123)(18, 139)(19, 140)(20, 124)(21, 125)(22, 141)(23, 142)(24, 126)(25, 127)(26, 128)(27, 133)(28, 149)(29, 150)(30, 134)(31, 135)(32, 151)(33, 152)(34, 136)(35, 137)(36, 138)(37, 143)(38, 158)(39, 159)(40, 144)(41, 145)(42, 160)(43, 161)(44, 146)(45, 147)(46, 148)(47, 153)(48, 164)(49, 154)(50, 155)(51, 165)(52, 156)(53, 157)(54, 162)(55, 163)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ), ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1147
Graph:: bipartite
	v = 12 e = 110 f = 56
	degree seq :: [ 10^11, 110 ]

E22.1141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y3^5, Y3^2 * Y1^-3, Y2^-11 * Y1^2 ]
Map::
	R = (1, 56, 2, 57, 6, 61, 11, 66, 4, 59)(3, 58, 7, 62, 14, 69, 20, 75, 10, 65)(5, 60, 8, 63, 15, 70, 21, 76, 12, 67)(9, 64, 16, 71, 24, 79, 30, 85, 19, 74)(13, 68, 17, 72, 25, 80, 31, 86, 22, 77)(18, 73, 26, 81, 34, 89, 40, 95, 29, 84)(23, 78, 27, 82, 35, 90, 41, 96, 32, 87)(28, 83, 36, 91, 44, 99, 50, 105, 39, 94)(33, 88, 37, 92, 45, 100, 51, 106, 42, 97)(38, 93, 46, 101, 54, 109, 53, 108, 49, 104)(43, 98, 47, 102, 48, 103, 55, 110, 52, 107)(111, 166, 113, 168, 119, 174, 128, 183, 138, 193, 148, 203, 158, 213, 155, 210, 145, 200, 135, 190, 125, 180, 116, 171, 124, 179, 134, 189, 144, 199, 154, 209, 164, 219, 162, 217, 152, 207, 142, 197, 132, 187, 122, 177, 114, 169, 120, 175, 129, 184, 139, 194, 149, 204, 159, 214, 157, 212, 147, 202, 137, 192, 127, 182, 118, 173, 112, 167, 117, 172, 126, 181, 136, 191, 146, 201, 156, 211, 165, 220, 161, 216, 151, 206, 141, 196, 131, 186, 121, 176, 130, 185, 140, 195, 150, 205, 160, 215, 163, 218, 153, 208, 143, 198, 133, 188, 123, 178, 115, 170)
	L = (1, 114)(2, 111)(3, 120)(4, 121)(5, 122)(6, 112)(7, 113)(8, 115)(9, 129)(10, 130)(11, 116)(12, 131)(13, 132)(14, 117)(15, 118)(16, 119)(17, 123)(18, 139)(19, 140)(20, 124)(21, 125)(22, 141)(23, 142)(24, 126)(25, 127)(26, 128)(27, 133)(28, 149)(29, 150)(30, 134)(31, 135)(32, 151)(33, 152)(34, 136)(35, 137)(36, 138)(37, 143)(38, 159)(39, 160)(40, 144)(41, 145)(42, 161)(43, 162)(44, 146)(45, 147)(46, 148)(47, 153)(48, 157)(49, 163)(50, 154)(51, 155)(52, 165)(53, 164)(54, 156)(55, 158)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ), ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1146
Graph:: bipartite
	v = 12 e = 110 f = 56
	degree seq :: [ 10^11, 110 ]

E22.1142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y1^5, Y1^5, Y2^4 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-3 * Y1^-2, Y2^11 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 56, 2, 57, 6, 61, 11, 66, 4, 59)(3, 58, 7, 62, 14, 69, 20, 75, 10, 65)(5, 60, 8, 63, 15, 70, 21, 76, 12, 67)(9, 64, 16, 71, 24, 79, 30, 85, 19, 74)(13, 68, 17, 72, 25, 80, 31, 86, 22, 77)(18, 73, 26, 81, 34, 89, 40, 95, 29, 84)(23, 78, 27, 82, 35, 90, 41, 96, 32, 87)(28, 83, 36, 91, 44, 99, 50, 105, 39, 94)(33, 88, 37, 92, 45, 100, 51, 106, 42, 97)(38, 93, 46, 101, 53, 108, 55, 110, 49, 104)(43, 98, 47, 102, 54, 109, 48, 103, 52, 107)(111, 166, 113, 168, 119, 174, 128, 183, 138, 193, 148, 203, 158, 213, 161, 216, 151, 206, 141, 196, 131, 186, 121, 176, 130, 185, 140, 195, 150, 205, 160, 215, 165, 220, 157, 212, 147, 202, 137, 192, 127, 182, 118, 173, 112, 167, 117, 172, 126, 181, 136, 191, 146, 201, 156, 211, 162, 217, 152, 207, 142, 197, 132, 187, 122, 177, 114, 169, 120, 175, 129, 184, 139, 194, 149, 204, 159, 214, 164, 219, 155, 210, 145, 200, 135, 190, 125, 180, 116, 171, 124, 179, 134, 189, 144, 199, 154, 209, 163, 218, 153, 208, 143, 198, 133, 188, 123, 178, 115, 170)
	L = (1, 114)(2, 111)(3, 120)(4, 121)(5, 122)(6, 112)(7, 113)(8, 115)(9, 129)(10, 130)(11, 116)(12, 131)(13, 132)(14, 117)(15, 118)(16, 119)(17, 123)(18, 139)(19, 140)(20, 124)(21, 125)(22, 141)(23, 142)(24, 126)(25, 127)(26, 128)(27, 133)(28, 149)(29, 150)(30, 134)(31, 135)(32, 151)(33, 152)(34, 136)(35, 137)(36, 138)(37, 143)(38, 159)(39, 160)(40, 144)(41, 145)(42, 161)(43, 162)(44, 146)(45, 147)(46, 148)(47, 153)(48, 164)(49, 165)(50, 154)(51, 155)(52, 158)(53, 156)(54, 157)(55, 163)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ), ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1145
Graph:: bipartite
	v = 12 e = 110 f = 56
	degree seq :: [ 10^11, 110 ]

E22.1143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-5 * Y1^-5, (Y3^-1 * Y1^-1)^5, Y2^-2 * Y1^9, Y1 * Y2^-1 * Y1 * Y2^-3 * Y1^2 * Y2^-3, Y2^-43 * Y1 ]
Map::
	R = (1, 56, 2, 57, 6, 61, 14, 69, 26, 81, 42, 97, 54, 109, 35, 90, 20, 75, 9, 64, 17, 72, 29, 84, 45, 100, 40, 95, 25, 80, 32, 87, 48, 103, 52, 107, 33, 88, 49, 104, 38, 93, 23, 78, 12, 67, 5, 60, 8, 63, 16, 71, 28, 83, 44, 99, 55, 110, 36, 91, 21, 76, 10, 65, 3, 58, 7, 62, 15, 70, 27, 82, 43, 98, 41, 96, 50, 105, 53, 108, 34, 89, 19, 74, 31, 86, 47, 102, 39, 94, 24, 79, 13, 68, 18, 73, 30, 85, 46, 101, 51, 106, 37, 92, 22, 77, 11, 66, 4, 59)(111, 166, 113, 168, 119, 174, 129, 184, 143, 198, 161, 216, 154, 209, 136, 191, 153, 208, 150, 205, 134, 189, 122, 177, 114, 169, 120, 175, 130, 185, 144, 199, 162, 217, 156, 211, 138, 193, 124, 179, 137, 192, 155, 210, 149, 204, 133, 188, 121, 176, 131, 186, 145, 200, 163, 218, 158, 213, 140, 195, 126, 181, 116, 171, 125, 180, 139, 194, 157, 212, 148, 203, 132, 187, 146, 201, 164, 219, 160, 215, 142, 197, 128, 183, 118, 173, 112, 167, 117, 172, 127, 182, 141, 196, 159, 214, 147, 202, 165, 220, 152, 207, 151, 206, 135, 190, 123, 178, 115, 170)
	L = (1, 113)(2, 117)(3, 119)(4, 120)(5, 111)(6, 125)(7, 127)(8, 112)(9, 129)(10, 130)(11, 131)(12, 114)(13, 115)(14, 137)(15, 139)(16, 116)(17, 141)(18, 118)(19, 143)(20, 144)(21, 145)(22, 146)(23, 121)(24, 122)(25, 123)(26, 153)(27, 155)(28, 124)(29, 157)(30, 126)(31, 159)(32, 128)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 132)(39, 133)(40, 134)(41, 135)(42, 151)(43, 150)(44, 136)(45, 149)(46, 138)(47, 148)(48, 140)(49, 147)(50, 142)(51, 154)(52, 156)(53, 158)(54, 160)(55, 152)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1144
Graph:: bipartite
	v = 2 e = 110 f = 66
	degree seq :: [ 110^2 ]

E22.1144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^5, Y2^-1 * Y3^-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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * 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)^55 ]
Map::
	R = (1, 56)(2, 57)(3, 58)(4, 59)(5, 60)(6, 61)(7, 62)(8, 63)(9, 64)(10, 65)(11, 66)(12, 67)(13, 68)(14, 69)(15, 70)(16, 71)(17, 72)(18, 73)(19, 74)(20, 75)(21, 76)(22, 77)(23, 78)(24, 79)(25, 80)(26, 81)(27, 82)(28, 83)(29, 84)(30, 85)(31, 86)(32, 87)(33, 88)(34, 89)(35, 90)(36, 91)(37, 92)(38, 93)(39, 94)(40, 95)(41, 96)(42, 97)(43, 98)(44, 99)(45, 100)(46, 101)(47, 102)(48, 103)(49, 104)(50, 105)(51, 106)(52, 107)(53, 108)(54, 109)(55, 110)(111, 166, 112, 167, 116, 171, 121, 176, 114, 169)(113, 168, 117, 172, 124, 179, 130, 185, 120, 175)(115, 170, 118, 173, 125, 180, 131, 186, 122, 177)(119, 174, 126, 181, 134, 189, 140, 195, 129, 184)(123, 178, 127, 182, 135, 190, 141, 196, 132, 187)(128, 183, 136, 191, 144, 199, 150, 205, 139, 194)(133, 188, 137, 192, 145, 200, 151, 206, 142, 197)(138, 193, 146, 201, 154, 209, 160, 215, 149, 204)(143, 198, 147, 202, 155, 210, 161, 216, 152, 207)(148, 203, 156, 211, 162, 217, 165, 220, 159, 214)(153, 208, 157, 212, 163, 218, 164, 219, 158, 213)
	L = (1, 113)(2, 117)(3, 119)(4, 120)(5, 111)(6, 124)(7, 126)(8, 112)(9, 128)(10, 129)(11, 130)(12, 114)(13, 115)(14, 134)(15, 116)(16, 136)(17, 118)(18, 138)(19, 139)(20, 140)(21, 121)(22, 122)(23, 123)(24, 144)(25, 125)(26, 146)(27, 127)(28, 148)(29, 149)(30, 150)(31, 131)(32, 132)(33, 133)(34, 154)(35, 135)(36, 156)(37, 137)(38, 158)(39, 159)(40, 160)(41, 141)(42, 142)(43, 143)(44, 162)(45, 145)(46, 153)(47, 147)(48, 152)(49, 164)(50, 165)(51, 151)(52, 157)(53, 155)(54, 161)(55, 163)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 110, 110 ), ( 110^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1143
Graph:: simple bipartite
	v = 66 e = 110 f = 2
	degree seq :: [ 2^55, 10^11 ]

E22.1145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-11 * Y3, (Y1^-1 * Y3^-1)^55 ]
Map::
	R = (1, 56, 2, 57, 6, 61, 14, 69, 24, 79, 34, 89, 44, 99, 40, 95, 30, 85, 20, 75, 10, 65, 3, 58, 7, 62, 15, 70, 25, 80, 35, 90, 45, 100, 52, 107, 49, 104, 39, 94, 29, 84, 19, 74, 9, 64, 17, 72, 27, 82, 37, 92, 47, 102, 53, 108, 55, 110, 51, 106, 43, 98, 33, 88, 23, 78, 13, 68, 18, 73, 28, 83, 38, 93, 48, 103, 54, 109, 50, 105, 42, 97, 32, 87, 22, 77, 12, 67, 5, 60, 8, 63, 16, 71, 26, 81, 36, 91, 46, 101, 41, 96, 31, 86, 21, 76, 11, 66, 4, 59)(111, 166)(112, 167)(113, 168)(114, 169)(115, 170)(116, 171)(117, 172)(118, 173)(119, 174)(120, 175)(121, 176)(122, 177)(123, 178)(124, 179)(125, 180)(126, 181)(127, 182)(128, 183)(129, 184)(130, 185)(131, 186)(132, 187)(133, 188)(134, 189)(135, 190)(136, 191)(137, 192)(138, 193)(139, 194)(140, 195)(141, 196)(142, 197)(143, 198)(144, 199)(145, 200)(146, 201)(147, 202)(148, 203)(149, 204)(150, 205)(151, 206)(152, 207)(153, 208)(154, 209)(155, 210)(156, 211)(157, 212)(158, 213)(159, 214)(160, 215)(161, 216)(162, 217)(163, 218)(164, 219)(165, 220)
	L = (1, 113)(2, 117)(3, 119)(4, 120)(5, 111)(6, 125)(7, 127)(8, 112)(9, 123)(10, 129)(11, 130)(12, 114)(13, 115)(14, 135)(15, 137)(16, 116)(17, 128)(18, 118)(19, 133)(20, 139)(21, 140)(22, 121)(23, 122)(24, 145)(25, 147)(26, 124)(27, 138)(28, 126)(29, 143)(30, 149)(31, 150)(32, 131)(33, 132)(34, 155)(35, 157)(36, 134)(37, 148)(38, 136)(39, 153)(40, 159)(41, 154)(42, 141)(43, 142)(44, 162)(45, 163)(46, 144)(47, 158)(48, 146)(49, 161)(50, 151)(51, 152)(52, 165)(53, 164)(54, 156)(55, 160)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 10, 110 ), ( 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1142
Graph:: bipartite
	v = 56 e = 110 f = 12
	degree seq :: [ 2^55, 110 ]

E22.1146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-3 * Y1^4 * Y3^-1, Y1^3 * Y3^-1 * Y1^7 * Y3^-1 * Y1, Y1^2 * Y3^-1 * Y1 * Y3^-6 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3^-2, (Y1^-1 * Y3^-1)^55 ]
Map::
	R = (1, 56, 2, 57, 6, 61, 14, 69, 24, 79, 34, 89, 44, 99, 49, 104, 39, 94, 29, 84, 19, 74, 9, 64, 17, 72, 27, 82, 37, 92, 47, 102, 55, 110, 52, 107, 42, 97, 32, 87, 22, 77, 12, 67, 5, 60, 8, 63, 16, 71, 26, 81, 36, 91, 46, 101, 50, 105, 40, 95, 30, 85, 20, 75, 10, 65, 3, 58, 7, 62, 15, 70, 25, 80, 35, 90, 45, 100, 54, 109, 53, 108, 43, 98, 33, 88, 23, 78, 13, 68, 18, 73, 28, 83, 38, 93, 48, 103, 51, 106, 41, 96, 31, 86, 21, 76, 11, 66, 4, 59)(111, 166)(112, 167)(113, 168)(114, 169)(115, 170)(116, 171)(117, 172)(118, 173)(119, 174)(120, 175)(121, 176)(122, 177)(123, 178)(124, 179)(125, 180)(126, 181)(127, 182)(128, 183)(129, 184)(130, 185)(131, 186)(132, 187)(133, 188)(134, 189)(135, 190)(136, 191)(137, 192)(138, 193)(139, 194)(140, 195)(141, 196)(142, 197)(143, 198)(144, 199)(145, 200)(146, 201)(147, 202)(148, 203)(149, 204)(150, 205)(151, 206)(152, 207)(153, 208)(154, 209)(155, 210)(156, 211)(157, 212)(158, 213)(159, 214)(160, 215)(161, 216)(162, 217)(163, 218)(164, 219)(165, 220)
	L = (1, 113)(2, 117)(3, 119)(4, 120)(5, 111)(6, 125)(7, 127)(8, 112)(9, 123)(10, 129)(11, 130)(12, 114)(13, 115)(14, 135)(15, 137)(16, 116)(17, 128)(18, 118)(19, 133)(20, 139)(21, 140)(22, 121)(23, 122)(24, 145)(25, 147)(26, 124)(27, 138)(28, 126)(29, 143)(30, 149)(31, 150)(32, 131)(33, 132)(34, 155)(35, 157)(36, 134)(37, 148)(38, 136)(39, 153)(40, 159)(41, 160)(42, 141)(43, 142)(44, 164)(45, 165)(46, 144)(47, 158)(48, 146)(49, 163)(50, 154)(51, 156)(52, 151)(53, 152)(54, 162)(55, 161)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 10, 110 ), ( 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1141
Graph:: bipartite
	v = 56 e = 110 f = 12
	degree seq :: [ 2^55, 110 ]

E22.1147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 55, 55})
Quotient :: dipole
Aut^+ = C55 (small group id <55, 2>)
Aut   = D110 (small group id <110, 5>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y3^2 * Y1^11, (Y1^-1 * Y3^-1)^55 ]
Map::
	R = (1, 56, 2, 57, 6, 61, 14, 69, 24, 79, 34, 89, 44, 99, 53, 108, 43, 98, 33, 88, 23, 78, 13, 68, 18, 73, 28, 83, 38, 93, 48, 103, 55, 110, 50, 105, 40, 95, 30, 85, 20, 75, 10, 65, 3, 58, 7, 62, 15, 70, 25, 80, 35, 90, 45, 100, 52, 107, 42, 97, 32, 87, 22, 77, 12, 67, 5, 60, 8, 63, 16, 71, 26, 81, 36, 91, 46, 101, 54, 109, 49, 104, 39, 94, 29, 84, 19, 74, 9, 64, 17, 72, 27, 82, 37, 92, 47, 102, 51, 106, 41, 96, 31, 86, 21, 76, 11, 66, 4, 59)(111, 166)(112, 167)(113, 168)(114, 169)(115, 170)(116, 171)(117, 172)(118, 173)(119, 174)(120, 175)(121, 176)(122, 177)(123, 178)(124, 179)(125, 180)(126, 181)(127, 182)(128, 183)(129, 184)(130, 185)(131, 186)(132, 187)(133, 188)(134, 189)(135, 190)(136, 191)(137, 192)(138, 193)(139, 194)(140, 195)(141, 196)(142, 197)(143, 198)(144, 199)(145, 200)(146, 201)(147, 202)(148, 203)(149, 204)(150, 205)(151, 206)(152, 207)(153, 208)(154, 209)(155, 210)(156, 211)(157, 212)(158, 213)(159, 214)(160, 215)(161, 216)(162, 217)(163, 218)(164, 219)(165, 220)
	L = (1, 113)(2, 117)(3, 119)(4, 120)(5, 111)(6, 125)(7, 127)(8, 112)(9, 123)(10, 129)(11, 130)(12, 114)(13, 115)(14, 135)(15, 137)(16, 116)(17, 128)(18, 118)(19, 133)(20, 139)(21, 140)(22, 121)(23, 122)(24, 145)(25, 147)(26, 124)(27, 138)(28, 126)(29, 143)(30, 149)(31, 150)(32, 131)(33, 132)(34, 155)(35, 157)(36, 134)(37, 148)(38, 136)(39, 153)(40, 159)(41, 160)(42, 141)(43, 142)(44, 162)(45, 161)(46, 144)(47, 158)(48, 146)(49, 163)(50, 164)(51, 165)(52, 151)(53, 152)(54, 154)(55, 156)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 10, 110 ), ( 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110, 10, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1140
Graph:: bipartite
	v = 56 e = 110 f = 12
	degree seq :: [ 2^55, 110 ]

E22.1148 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 10, 30})
Quotient :: edge
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T2^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 36, 24, 13, 5)(2, 7, 17, 29, 41, 52, 42, 30, 18, 8)(4, 10, 20, 32, 44, 53, 47, 35, 23, 12)(6, 15, 27, 39, 50, 58, 51, 40, 28, 16)(11, 21, 33, 45, 54, 59, 55, 46, 34, 22)(14, 25, 37, 48, 56, 60, 57, 49, 38, 26)(61, 62, 66, 74, 71, 64)(63, 67, 75, 85, 81, 70)(65, 68, 76, 86, 82, 72)(69, 77, 87, 97, 93, 80)(73, 78, 88, 98, 94, 83)(79, 89, 99, 108, 105, 92)(84, 90, 100, 109, 106, 95)(91, 101, 110, 116, 114, 104)(96, 102, 111, 117, 115, 107)(103, 112, 118, 120, 119, 113)
	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) :: { ( 60^6 ), ( 60^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1152
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 6^10, 10^6 ]

E22.1149 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 10, 30})
Quotient :: edge
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^6, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 44, 26, 43, 58, 54, 39, 23, 11, 21, 35, 48, 30, 16, 6, 15, 29, 47, 60, 52, 37, 51, 41, 25, 13, 5)(2, 7, 17, 31, 49, 57, 42, 56, 55, 40, 24, 12, 4, 10, 20, 34, 46, 28, 14, 27, 45, 59, 53, 38, 22, 36, 50, 32, 18, 8)(61, 62, 66, 74, 86, 102, 97, 82, 71, 64)(63, 67, 75, 87, 103, 116, 111, 96, 81, 70)(65, 68, 76, 88, 104, 117, 112, 98, 83, 72)(69, 77, 89, 105, 118, 115, 101, 110, 95, 80)(73, 78, 90, 106, 93, 109, 120, 113, 99, 84)(79, 91, 107, 119, 114, 100, 85, 92, 108, 94)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12^10 ), ( 12^30 ) }
Outer automorphisms :: reflexible
Dual of E22.1153
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 60 f = 10
	degree seq :: [ 10^6, 30^2 ]

E22.1150 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 10, 30})
Quotient :: edge
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-10 * T2^2 ]
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, 54, 41, 27)(22, 33, 44, 55, 48, 35)(25, 38, 52, 60, 53, 39)(34, 45, 49, 58, 57, 47)(37, 50, 59, 56, 46, 51)(61, 62, 66, 74, 85, 97, 109, 104, 92, 80, 69, 77, 88, 100, 112, 119, 117, 108, 96, 84, 73, 78, 89, 101, 113, 106, 94, 82, 71, 64)(63, 67, 75, 86, 98, 110, 118, 115, 103, 91, 79, 90, 102, 114, 120, 116, 107, 95, 83, 72, 65, 68, 76, 87, 99, 111, 105, 93, 81, 70)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 20^6 ), ( 20^30 ) }
Outer automorphisms :: reflexible
Dual of E22.1151
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 6^10, 30^2 ]

E22.1151 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 10, 30})
Quotient :: loop
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^6, T2^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 31, 91, 43, 103, 36, 96, 24, 84, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 29, 89, 41, 101, 52, 112, 42, 102, 30, 90, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 32, 92, 44, 104, 53, 113, 47, 107, 35, 95, 23, 83, 12, 72)(6, 66, 15, 75, 27, 87, 39, 99, 50, 110, 58, 118, 51, 111, 40, 100, 28, 88, 16, 76)(11, 71, 21, 81, 33, 93, 45, 105, 54, 114, 59, 119, 55, 115, 46, 106, 34, 94, 22, 82)(14, 74, 25, 85, 37, 97, 48, 108, 56, 116, 60, 120, 57, 117, 49, 109, 38, 98, 26, 86)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 71)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 69)(21, 70)(22, 72)(23, 73)(24, 90)(25, 81)(26, 82)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 79)(33, 80)(34, 83)(35, 84)(36, 102)(37, 93)(38, 94)(39, 108)(40, 109)(41, 110)(42, 111)(43, 112)(44, 91)(45, 92)(46, 95)(47, 96)(48, 105)(49, 106)(50, 116)(51, 117)(52, 118)(53, 103)(54, 104)(55, 107)(56, 114)(57, 115)(58, 120)(59, 113)(60, 119)
	local type(s) :: { ( 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 E22.1150
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 20^6 ]

E22.1152 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 10, 30})
Quotient :: loop
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T2)^2, (F * T1)^2, T1^-4 * T2^6, T1^10 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 44, 104, 26, 86, 43, 103, 58, 118, 54, 114, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 48, 108, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 47, 107, 60, 120, 52, 112, 37, 97, 51, 111, 41, 101, 25, 85, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 57, 117, 42, 102, 56, 116, 55, 115, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 46, 106, 28, 88, 14, 74, 27, 87, 45, 105, 59, 119, 53, 113, 38, 98, 22, 82, 36, 96, 50, 110, 32, 92, 18, 78, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 110)(42, 97)(43, 116)(44, 117)(45, 118)(46, 93)(47, 119)(48, 94)(49, 120)(50, 95)(51, 96)(52, 98)(53, 99)(54, 100)(55, 101)(56, 111)(57, 112)(58, 115)(59, 114)(60, 113)
	local type(s) :: { ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1148
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.1153 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 10, 30})
Quotient :: loop
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^6, T1^-10 * T2^2 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 30, 90, 18, 78, 8, 68)(4, 64, 10, 70, 20, 80, 31, 91, 24, 84, 12, 72)(6, 66, 15, 75, 28, 88, 42, 102, 29, 89, 16, 76)(11, 71, 21, 81, 32, 92, 43, 103, 36, 96, 23, 83)(14, 74, 26, 86, 40, 100, 54, 114, 41, 101, 27, 87)(22, 82, 33, 93, 44, 104, 55, 115, 48, 108, 35, 95)(25, 85, 38, 98, 52, 112, 60, 120, 53, 113, 39, 99)(34, 94, 45, 105, 49, 109, 58, 118, 57, 117, 47, 107)(37, 97, 50, 110, 59, 119, 56, 116, 46, 106, 51, 111)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 85)(15, 86)(16, 87)(17, 88)(18, 89)(19, 90)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(49, 104)(50, 118)(51, 105)(52, 119)(53, 106)(54, 120)(55, 103)(56, 107)(57, 108)(58, 115)(59, 117)(60, 116)
	local type(s) :: { ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E22.1149
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 60 f = 8
	degree seq :: [ 12^10 ]

E22.1154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|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, Y2^10, Y3^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 26, 86, 22, 82, 12, 72)(9, 69, 17, 77, 27, 87, 37, 97, 33, 93, 20, 80)(13, 73, 18, 78, 28, 88, 38, 98, 34, 94, 23, 83)(19, 79, 29, 89, 39, 99, 48, 108, 45, 105, 32, 92)(24, 84, 30, 90, 40, 100, 49, 109, 46, 106, 35, 95)(31, 91, 41, 101, 50, 110, 56, 116, 54, 114, 44, 104)(36, 96, 42, 102, 51, 111, 57, 117, 55, 115, 47, 107)(43, 103, 52, 112, 58, 118, 60, 120, 59, 119, 53, 113)(121, 181, 123, 183, 129, 189, 139, 199, 151, 211, 163, 223, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 172, 232, 162, 222, 150, 210, 138, 198, 128, 188)(124, 184, 130, 190, 140, 200, 152, 212, 164, 224, 173, 233, 167, 227, 155, 215, 143, 203, 132, 192)(126, 186, 135, 195, 147, 207, 159, 219, 170, 230, 178, 238, 171, 231, 160, 220, 148, 208, 136, 196)(131, 191, 141, 201, 153, 213, 165, 225, 174, 234, 179, 239, 175, 235, 166, 226, 154, 214, 142, 202)(134, 194, 145, 205, 157, 217, 168, 228, 176, 236, 180, 240, 177, 237, 169, 229, 158, 218, 146, 206)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 134)(12, 142)(13, 143)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 152)(20, 153)(21, 145)(22, 146)(23, 154)(24, 155)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 144)(31, 164)(32, 165)(33, 157)(34, 158)(35, 166)(36, 167)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 156)(43, 173)(44, 174)(45, 168)(46, 169)(47, 175)(48, 159)(49, 160)(50, 161)(51, 162)(52, 163)(53, 179)(54, 176)(55, 177)(56, 170)(57, 171)(58, 172)(59, 180)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1157
Graph:: bipartite
	v = 16 e = 120 f = 62
	degree seq :: [ 12^10, 20^6 ]

E22.1155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), Y2^6 * Y1^-4, Y1^10, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 56, 116, 51, 111, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 57, 117, 52, 112, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 45, 105, 58, 118, 55, 115, 41, 101, 50, 110, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 46, 106, 33, 93, 49, 109, 60, 120, 53, 113, 39, 99, 24, 84)(19, 79, 31, 91, 47, 107, 59, 119, 54, 114, 40, 100, 25, 85, 32, 92, 48, 108, 34, 94)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 164, 224, 146, 206, 163, 223, 178, 238, 174, 234, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 168, 228, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 167, 227, 180, 240, 172, 232, 157, 217, 171, 231, 161, 221, 145, 205, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 151, 211, 169, 229, 177, 237, 162, 222, 176, 236, 175, 235, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 166, 226, 148, 208, 134, 194, 147, 207, 165, 225, 179, 239, 173, 233, 158, 218, 142, 202, 156, 216, 170, 230, 152, 212, 138, 198, 128, 188)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 164)(34, 166)(35, 168)(36, 170)(37, 171)(38, 142)(39, 143)(40, 144)(41, 145)(42, 176)(43, 178)(44, 146)(45, 179)(46, 148)(47, 180)(48, 150)(49, 177)(50, 152)(51, 161)(52, 157)(53, 158)(54, 159)(55, 160)(56, 175)(57, 162)(58, 174)(59, 173)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E22.1156
Graph:: bipartite
	v = 8 e = 120 f = 70
	degree seq :: [ 20^6, 60^2 ]

E22.1156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^6, Y2^-2 * Y3^-10, (Y3^-1 * Y1^-1)^30 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 134, 194, 131, 191, 124, 184)(123, 183, 127, 187, 135, 195, 145, 205, 141, 201, 130, 190)(125, 185, 128, 188, 136, 196, 146, 206, 142, 202, 132, 192)(129, 189, 137, 197, 147, 207, 157, 217, 153, 213, 140, 200)(133, 193, 138, 198, 148, 208, 158, 218, 154, 214, 143, 203)(139, 199, 149, 209, 159, 219, 169, 229, 165, 225, 152, 212)(144, 204, 150, 210, 160, 220, 170, 230, 166, 226, 155, 215)(151, 211, 161, 221, 171, 231, 178, 238, 177, 237, 164, 224)(156, 216, 162, 222, 172, 232, 179, 239, 175, 235, 167, 227)(163, 223, 173, 233, 168, 228, 174, 234, 180, 240, 176, 236)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 145)(15, 147)(16, 126)(17, 149)(18, 128)(19, 151)(20, 152)(21, 153)(22, 131)(23, 132)(24, 133)(25, 157)(26, 134)(27, 159)(28, 136)(29, 161)(30, 138)(31, 163)(32, 164)(33, 165)(34, 142)(35, 143)(36, 144)(37, 169)(38, 146)(39, 171)(40, 148)(41, 173)(42, 150)(43, 175)(44, 176)(45, 177)(46, 154)(47, 155)(48, 156)(49, 178)(50, 158)(51, 168)(52, 160)(53, 167)(54, 162)(55, 166)(56, 179)(57, 180)(58, 174)(59, 170)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 20, 60 ), ( 20, 60, 20, 60, 20, 60, 20, 60, 20, 60, 20, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1155
Graph:: simple bipartite
	v = 70 e = 120 f = 8
	degree seq :: [ 2^60, 12^10 ]

E22.1157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^6, Y1^-10 * Y3^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 25, 85, 37, 97, 49, 109, 44, 104, 32, 92, 20, 80, 9, 69, 17, 77, 28, 88, 40, 100, 52, 112, 59, 119, 57, 117, 48, 108, 36, 96, 24, 84, 13, 73, 18, 78, 29, 89, 41, 101, 53, 113, 46, 106, 34, 94, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 26, 86, 38, 98, 50, 110, 58, 118, 55, 115, 43, 103, 31, 91, 19, 79, 30, 90, 42, 102, 54, 114, 60, 120, 56, 116, 47, 107, 35, 95, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 27, 87, 39, 99, 51, 111, 45, 105, 33, 93, 21, 81, 10, 70)(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, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 146)(15, 148)(16, 126)(17, 150)(18, 128)(19, 133)(20, 151)(21, 152)(22, 153)(23, 131)(24, 132)(25, 158)(26, 160)(27, 134)(28, 162)(29, 136)(30, 138)(31, 144)(32, 163)(33, 164)(34, 165)(35, 142)(36, 143)(37, 170)(38, 172)(39, 145)(40, 174)(41, 147)(42, 149)(43, 156)(44, 175)(45, 169)(46, 171)(47, 154)(48, 155)(49, 178)(50, 179)(51, 157)(52, 180)(53, 159)(54, 161)(55, 168)(56, 166)(57, 167)(58, 177)(59, 176)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 20 ), ( 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20, 12, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1154
Graph:: simple bipartite
	v = 62 e = 120 f = 16
	degree seq :: [ 2^60, 60^2 ]

E22.1158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1), (R * Y3)^2, (Y3^-1, Y2^-1), Y1^6, Y2^10 * Y1^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 25, 85, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 26, 86, 22, 82, 12, 72)(9, 69, 17, 77, 27, 87, 37, 97, 33, 93, 20, 80)(13, 73, 18, 78, 28, 88, 38, 98, 34, 94, 23, 83)(19, 79, 29, 89, 39, 99, 49, 109, 45, 105, 32, 92)(24, 84, 30, 90, 40, 100, 50, 110, 46, 106, 35, 95)(31, 91, 41, 101, 51, 111, 58, 118, 55, 115, 44, 104)(36, 96, 42, 102, 52, 112, 59, 119, 56, 116, 47, 107)(43, 103, 53, 113, 60, 120, 57, 117, 48, 108, 54, 114)(121, 181, 123, 183, 129, 189, 139, 199, 151, 211, 163, 223, 172, 232, 160, 220, 148, 208, 136, 196, 126, 186, 135, 195, 147, 207, 159, 219, 171, 231, 180, 240, 176, 236, 166, 226, 154, 214, 142, 202, 131, 191, 141, 201, 153, 213, 165, 225, 175, 235, 168, 228, 156, 216, 144, 204, 133, 193, 125, 185)(122, 182, 127, 187, 137, 197, 149, 209, 161, 221, 173, 233, 179, 239, 170, 230, 158, 218, 146, 206, 134, 194, 145, 205, 157, 217, 169, 229, 178, 238, 177, 237, 167, 227, 155, 215, 143, 203, 132, 192, 124, 184, 130, 190, 140, 200, 152, 212, 164, 224, 174, 234, 162, 222, 150, 210, 138, 198, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 140)(10, 141)(11, 134)(12, 142)(13, 143)(14, 126)(15, 127)(16, 128)(17, 129)(18, 133)(19, 152)(20, 153)(21, 145)(22, 146)(23, 154)(24, 155)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 144)(31, 164)(32, 165)(33, 157)(34, 158)(35, 166)(36, 167)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 156)(43, 174)(44, 175)(45, 169)(46, 170)(47, 176)(48, 177)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 168)(55, 178)(56, 179)(57, 180)(58, 171)(59, 172)(60, 173)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1159
Graph:: bipartite
	v = 12 e = 120 f = 66
	degree seq :: [ 12^10, 60^2 ]

E22.1159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 10, 30})
Quotient :: dipole
Aut^+ = C30 x C2 (small group id <60, 13>)
Aut   = C2 x C2 x D30 (small group id <120, 46>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-4 * Y3^6, Y1^10, (Y3 * Y2^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 56, 116, 51, 111, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 57, 117, 52, 112, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 45, 105, 58, 118, 55, 115, 41, 101, 50, 110, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 46, 106, 33, 93, 49, 109, 60, 120, 53, 113, 39, 99, 24, 84)(19, 79, 31, 91, 47, 107, 59, 119, 54, 114, 40, 100, 25, 85, 32, 92, 48, 108, 34, 94)(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, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 164)(34, 166)(35, 168)(36, 170)(37, 171)(38, 142)(39, 143)(40, 144)(41, 145)(42, 176)(43, 178)(44, 146)(45, 179)(46, 148)(47, 180)(48, 150)(49, 177)(50, 152)(51, 161)(52, 157)(53, 158)(54, 159)(55, 160)(56, 175)(57, 162)(58, 174)(59, 173)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 60 ), ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1158
Graph:: simple bipartite
	v = 66 e = 120 f = 12
	degree seq :: [ 2^60, 20^6 ]

E22.1160 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 12, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 18, 28, 38, 48, 43, 33, 23, 13, 5)(2, 7, 16, 26, 36, 46, 55, 47, 37, 27, 17, 8)(4, 10, 19, 29, 39, 49, 56, 52, 42, 32, 22, 12)(6, 14, 24, 34, 44, 53, 59, 54, 45, 35, 25, 15)(11, 20, 30, 40, 50, 57, 60, 58, 51, 41, 31, 21)(61, 62, 66, 71, 64)(63, 67, 74, 80, 70)(65, 68, 75, 81, 72)(69, 76, 84, 90, 79)(73, 77, 85, 91, 82)(78, 86, 94, 100, 89)(83, 87, 95, 101, 92)(88, 96, 104, 110, 99)(93, 97, 105, 111, 102)(98, 106, 113, 117, 109)(103, 107, 114, 118, 112)(108, 115, 119, 120, 116)
	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) :: { ( 120^5 ), ( 120^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1164
Transitivity :: ET+
Graph:: simple bipartite
	v = 17 e = 60 f = 1
	degree seq :: [ 5^12, 12^5 ]

E22.1161 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 12, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^5 * T2^5, T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-5, T1^12, T2^20 * T1^-4, T2^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 51, 60, 48, 30, 16, 6, 15, 29, 47, 38, 22, 36, 54, 58, 44, 26, 43, 40, 24, 12, 4, 10, 20, 34, 52, 56, 50, 32, 18, 8, 2, 7, 17, 31, 49, 37, 55, 59, 46, 28, 14, 27, 45, 39, 23, 11, 21, 35, 53, 57, 42, 41, 25, 13, 5)(61, 62, 66, 74, 86, 102, 116, 111, 97, 82, 71, 64)(63, 67, 75, 87, 103, 101, 110, 120, 115, 96, 81, 70)(65, 68, 76, 88, 104, 117, 112, 93, 109, 98, 83, 72)(69, 77, 89, 105, 100, 85, 92, 108, 119, 114, 95, 80)(73, 78, 90, 106, 118, 113, 94, 79, 91, 107, 99, 84)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10^12 ), ( 10^60 ) }
Outer automorphisms :: reflexible
Dual of E22.1165
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 60 f = 12
	degree seq :: [ 12^5, 60 ]

E22.1162 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 12, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-5, T2^5, T1^-12 * T2^-2, (T1^-1 * T2^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 5)(2, 7, 17, 18, 8)(4, 10, 19, 23, 12)(6, 15, 27, 28, 16)(11, 20, 29, 33, 22)(14, 25, 37, 38, 26)(21, 30, 39, 43, 32)(24, 35, 47, 48, 36)(31, 40, 49, 53, 42)(34, 45, 57, 58, 46)(41, 50, 59, 54, 52)(44, 55, 51, 60, 56)(61, 62, 66, 74, 84, 94, 104, 114, 113, 103, 93, 83, 73, 78, 88, 98, 108, 118, 120, 110, 100, 90, 80, 70, 63, 67, 75, 85, 95, 105, 115, 112, 102, 92, 82, 72, 65, 68, 76, 86, 96, 106, 116, 119, 109, 99, 89, 79, 69, 77, 87, 97, 107, 117, 111, 101, 91, 81, 71, 64)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 24^5 ), ( 24^60 ) }
Outer automorphisms :: reflexible
Dual of E22.1163
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 60 f = 5
	degree seq :: [ 5^12, 60 ]

E22.1163 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 12, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^5, T2^12 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 18, 78, 28, 88, 38, 98, 48, 108, 43, 103, 33, 93, 23, 83, 13, 73, 5, 65)(2, 62, 7, 67, 16, 76, 26, 86, 36, 96, 46, 106, 55, 115, 47, 107, 37, 97, 27, 87, 17, 77, 8, 68)(4, 64, 10, 70, 19, 79, 29, 89, 39, 99, 49, 109, 56, 116, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72)(6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 53, 113, 59, 119, 54, 114, 45, 105, 35, 95, 25, 85, 15, 75)(11, 71, 20, 80, 30, 90, 40, 100, 50, 110, 57, 117, 60, 120, 58, 118, 51, 111, 41, 101, 31, 91, 21, 81)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 71)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 77)(14, 80)(15, 81)(16, 84)(17, 85)(18, 86)(19, 69)(20, 70)(21, 72)(22, 73)(23, 87)(24, 90)(25, 91)(26, 94)(27, 95)(28, 96)(29, 78)(30, 79)(31, 82)(32, 83)(33, 97)(34, 100)(35, 101)(36, 104)(37, 105)(38, 106)(39, 88)(40, 89)(41, 92)(42, 93)(43, 107)(44, 110)(45, 111)(46, 113)(47, 114)(48, 115)(49, 98)(50, 99)(51, 102)(52, 103)(53, 117)(54, 118)(55, 119)(56, 108)(57, 109)(58, 112)(59, 120)(60, 116)
	local type(s) :: { ( 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60, 5, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1162
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 60 f = 13
	degree seq :: [ 24^5 ]

E22.1164 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 12, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T2)^2, (F * T1)^2, T1^5 * T2^5, T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-5, T1^12, T2^20 * T1^-4, T2^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 51, 111, 60, 120, 48, 108, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 47, 107, 38, 98, 22, 82, 36, 96, 54, 114, 58, 118, 44, 104, 26, 86, 43, 103, 40, 100, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 52, 112, 56, 116, 50, 110, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 49, 109, 37, 97, 55, 115, 59, 119, 46, 106, 28, 88, 14, 74, 27, 87, 45, 105, 39, 99, 23, 83, 11, 71, 21, 81, 35, 95, 53, 113, 57, 117, 42, 102, 41, 101, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 102)(27, 103)(28, 104)(29, 105)(30, 106)(31, 107)(32, 108)(33, 109)(34, 79)(35, 80)(36, 81)(37, 82)(38, 83)(39, 84)(40, 85)(41, 110)(42, 116)(43, 101)(44, 117)(45, 100)(46, 118)(47, 99)(48, 119)(49, 98)(50, 120)(51, 97)(52, 93)(53, 94)(54, 95)(55, 96)(56, 111)(57, 112)(58, 113)(59, 114)(60, 115)
	local type(s) :: { ( 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12, 5, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1160
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 17
	degree seq :: [ 120 ]

E22.1165 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 12, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T2^-5, T2^5, T1^-12 * T2^-2, (T1^-1 * T2^-1)^12 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 13, 73, 5, 65)(2, 62, 7, 67, 17, 77, 18, 78, 8, 68)(4, 64, 10, 70, 19, 79, 23, 83, 12, 72)(6, 66, 15, 75, 27, 87, 28, 88, 16, 76)(11, 71, 20, 80, 29, 89, 33, 93, 22, 82)(14, 74, 25, 85, 37, 97, 38, 98, 26, 86)(21, 81, 30, 90, 39, 99, 43, 103, 32, 92)(24, 84, 35, 95, 47, 107, 48, 108, 36, 96)(31, 91, 40, 100, 49, 109, 53, 113, 42, 102)(34, 94, 45, 105, 57, 117, 58, 118, 46, 106)(41, 101, 50, 110, 59, 119, 54, 114, 52, 112)(44, 104, 55, 115, 51, 111, 60, 120, 56, 116)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 69)(20, 70)(21, 71)(22, 72)(23, 73)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 79)(30, 80)(31, 81)(32, 82)(33, 83)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 89)(40, 90)(41, 91)(42, 92)(43, 93)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 99)(50, 100)(51, 101)(52, 102)(53, 103)(54, 113)(55, 112)(56, 119)(57, 111)(58, 120)(59, 109)(60, 110)
	local type(s) :: { ( 12, 60, 12, 60, 12, 60, 12, 60, 12, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1161
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 60 f = 6
	degree seq :: [ 10^12 ]

E22.1166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 12, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|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), Y1^5, Y2^12, Y3^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 11, 71, 4, 64)(3, 63, 7, 67, 14, 74, 20, 80, 10, 70)(5, 65, 8, 68, 15, 75, 21, 81, 12, 72)(9, 69, 16, 76, 24, 84, 30, 90, 19, 79)(13, 73, 17, 77, 25, 85, 31, 91, 22, 82)(18, 78, 26, 86, 34, 94, 40, 100, 29, 89)(23, 83, 27, 87, 35, 95, 41, 101, 32, 92)(28, 88, 36, 96, 44, 104, 50, 110, 39, 99)(33, 93, 37, 97, 45, 105, 51, 111, 42, 102)(38, 98, 46, 106, 53, 113, 57, 117, 49, 109)(43, 103, 47, 107, 54, 114, 58, 118, 52, 112)(48, 108, 55, 115, 59, 119, 60, 120, 56, 116)(121, 181, 123, 183, 129, 189, 138, 198, 148, 208, 158, 218, 168, 228, 163, 223, 153, 213, 143, 203, 133, 193, 125, 185)(122, 182, 127, 187, 136, 196, 146, 206, 156, 216, 166, 226, 175, 235, 167, 227, 157, 217, 147, 207, 137, 197, 128, 188)(124, 184, 130, 190, 139, 199, 149, 209, 159, 219, 169, 229, 176, 236, 172, 232, 162, 222, 152, 212, 142, 202, 132, 192)(126, 186, 134, 194, 144, 204, 154, 214, 164, 224, 173, 233, 179, 239, 174, 234, 165, 225, 155, 215, 145, 205, 135, 195)(131, 191, 140, 200, 150, 210, 160, 220, 170, 230, 177, 237, 180, 240, 178, 238, 171, 231, 161, 221, 151, 211, 141, 201)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 139)(10, 140)(11, 126)(12, 141)(13, 142)(14, 127)(15, 128)(16, 129)(17, 133)(18, 149)(19, 150)(20, 134)(21, 135)(22, 151)(23, 152)(24, 136)(25, 137)(26, 138)(27, 143)(28, 159)(29, 160)(30, 144)(31, 145)(32, 161)(33, 162)(34, 146)(35, 147)(36, 148)(37, 153)(38, 169)(39, 170)(40, 154)(41, 155)(42, 171)(43, 172)(44, 156)(45, 157)(46, 158)(47, 163)(48, 176)(49, 177)(50, 164)(51, 165)(52, 178)(53, 166)(54, 167)(55, 168)(56, 180)(57, 173)(58, 174)(59, 175)(60, 179)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E22.1169
Graph:: bipartite
	v = 17 e = 120 f = 61
	degree seq :: [ 10^12, 24^5 ]

E22.1167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 12, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^-5 * Y1^-5, (Y3^-1 * Y1^-1)^5, Y2^8 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1^-2 * Y2^3 * Y1^-4 * Y2, Y1^12, Y2^-20 * Y1^4 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 56, 116, 51, 111, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 41, 101, 50, 110, 60, 120, 55, 115, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 57, 117, 52, 112, 33, 93, 49, 109, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 45, 105, 40, 100, 25, 85, 32, 92, 48, 108, 59, 119, 54, 114, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 46, 106, 58, 118, 53, 113, 34, 94, 19, 79, 31, 91, 47, 107, 39, 99, 24, 84)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 171, 231, 180, 240, 168, 228, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 167, 227, 158, 218, 142, 202, 156, 216, 174, 234, 178, 238, 164, 224, 146, 206, 163, 223, 160, 220, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 172, 232, 176, 236, 170, 230, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 169, 229, 157, 217, 175, 235, 179, 239, 166, 226, 148, 208, 134, 194, 147, 207, 165, 225, 159, 219, 143, 203, 131, 191, 141, 201, 155, 215, 173, 233, 177, 237, 162, 222, 161, 221, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 171)(34, 172)(35, 173)(36, 174)(37, 175)(38, 142)(39, 143)(40, 144)(41, 145)(42, 161)(43, 160)(44, 146)(45, 159)(46, 148)(47, 158)(48, 150)(49, 157)(50, 152)(51, 180)(52, 176)(53, 177)(54, 178)(55, 179)(56, 170)(57, 162)(58, 164)(59, 166)(60, 168)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1168
Graph:: bipartite
	v = 6 e = 120 f = 72
	degree seq :: [ 24^5, 120 ]

E22.1168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 12, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y3^-1), Y2^-5, Y2^5, Y2^-2 * Y3^12, 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^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 131, 191, 124, 184)(123, 183, 127, 187, 134, 194, 140, 200, 130, 190)(125, 185, 128, 188, 135, 195, 141, 201, 132, 192)(129, 189, 136, 196, 144, 204, 150, 210, 139, 199)(133, 193, 137, 197, 145, 205, 151, 211, 142, 202)(138, 198, 146, 206, 154, 214, 160, 220, 149, 209)(143, 203, 147, 207, 155, 215, 161, 221, 152, 212)(148, 208, 156, 216, 164, 224, 170, 230, 159, 219)(153, 213, 157, 217, 165, 225, 171, 231, 162, 222)(158, 218, 166, 226, 174, 234, 178, 238, 169, 229)(163, 223, 167, 227, 175, 235, 179, 239, 172, 232)(168, 228, 176, 236, 180, 240, 173, 233, 177, 237)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 134)(7, 136)(8, 122)(9, 138)(10, 139)(11, 140)(12, 124)(13, 125)(14, 144)(15, 126)(16, 146)(17, 128)(18, 148)(19, 149)(20, 150)(21, 131)(22, 132)(23, 133)(24, 154)(25, 135)(26, 156)(27, 137)(28, 158)(29, 159)(30, 160)(31, 141)(32, 142)(33, 143)(34, 164)(35, 145)(36, 166)(37, 147)(38, 168)(39, 169)(40, 170)(41, 151)(42, 152)(43, 153)(44, 174)(45, 155)(46, 176)(47, 157)(48, 175)(49, 177)(50, 178)(51, 161)(52, 162)(53, 163)(54, 180)(55, 165)(56, 179)(57, 167)(58, 173)(59, 171)(60, 172)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 24, 120 ), ( 24, 120, 24, 120, 24, 120, 24, 120, 24, 120 ) }
Outer automorphisms :: reflexible
Dual of E22.1167
Graph:: simple bipartite
	v = 72 e = 120 f = 6
	degree seq :: [ 2^60, 10^12 ]

E22.1169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 12, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y3^-5, Y3^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^5, Y1^-12 * Y3^-2, (Y1^-1 * Y3^-1)^12 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 24, 84, 34, 94, 44, 104, 54, 114, 53, 113, 43, 103, 33, 93, 23, 83, 13, 73, 18, 78, 28, 88, 38, 98, 48, 108, 58, 118, 60, 120, 50, 110, 40, 100, 30, 90, 20, 80, 10, 70, 3, 63, 7, 67, 15, 75, 25, 85, 35, 95, 45, 105, 55, 115, 52, 112, 42, 102, 32, 92, 22, 82, 12, 72, 5, 65, 8, 68, 16, 76, 26, 86, 36, 96, 46, 106, 56, 116, 59, 119, 49, 109, 39, 99, 29, 89, 19, 79, 9, 69, 17, 77, 27, 87, 37, 97, 47, 107, 57, 117, 51, 111, 41, 101, 31, 91, 21, 81, 11, 71, 4, 64)(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, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 133)(10, 139)(11, 140)(12, 124)(13, 125)(14, 145)(15, 147)(16, 126)(17, 138)(18, 128)(19, 143)(20, 149)(21, 150)(22, 131)(23, 132)(24, 155)(25, 157)(26, 134)(27, 148)(28, 136)(29, 153)(30, 159)(31, 160)(32, 141)(33, 142)(34, 165)(35, 167)(36, 144)(37, 158)(38, 146)(39, 163)(40, 169)(41, 170)(42, 151)(43, 152)(44, 175)(45, 177)(46, 154)(47, 168)(48, 156)(49, 173)(50, 179)(51, 180)(52, 161)(53, 162)(54, 172)(55, 171)(56, 164)(57, 178)(58, 166)(59, 174)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10, 24 ), ( 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24, 10, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1166
Graph:: bipartite
	v = 61 e = 120 f = 17
	degree seq :: [ 2^60, 120 ]

E22.1170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 12, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|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), Y1^5, Y3^10, Y3^2 * Y2^-12, Y1 * Y2^-1 * Y1 * Y2^-5 * Y3^-1 * Y2^-6 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 11, 71, 4, 64)(3, 63, 7, 67, 14, 74, 20, 80, 10, 70)(5, 65, 8, 68, 15, 75, 21, 81, 12, 72)(9, 69, 16, 76, 24, 84, 30, 90, 19, 79)(13, 73, 17, 77, 25, 85, 31, 91, 22, 82)(18, 78, 26, 86, 34, 94, 40, 100, 29, 89)(23, 83, 27, 87, 35, 95, 41, 101, 32, 92)(28, 88, 36, 96, 44, 104, 50, 110, 39, 99)(33, 93, 37, 97, 45, 105, 51, 111, 42, 102)(38, 98, 46, 106, 54, 114, 60, 120, 49, 109)(43, 103, 47, 107, 55, 115, 58, 118, 52, 112)(48, 108, 56, 116, 53, 113, 57, 117, 59, 119)(121, 181, 123, 183, 129, 189, 138, 198, 148, 208, 158, 218, 168, 228, 178, 238, 171, 231, 161, 221, 151, 211, 141, 201, 131, 191, 140, 200, 150, 210, 160, 220, 170, 230, 180, 240, 177, 237, 167, 227, 157, 217, 147, 207, 137, 197, 128, 188, 122, 182, 127, 187, 136, 196, 146, 206, 156, 216, 166, 226, 176, 236, 172, 232, 162, 222, 152, 212, 142, 202, 132, 192, 124, 184, 130, 190, 139, 199, 149, 209, 159, 219, 169, 229, 179, 239, 175, 235, 165, 225, 155, 215, 145, 205, 135, 195, 126, 186, 134, 194, 144, 204, 154, 214, 164, 224, 174, 234, 173, 233, 163, 223, 153, 213, 143, 203, 133, 193, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 131)(5, 132)(6, 122)(7, 123)(8, 125)(9, 139)(10, 140)(11, 126)(12, 141)(13, 142)(14, 127)(15, 128)(16, 129)(17, 133)(18, 149)(19, 150)(20, 134)(21, 135)(22, 151)(23, 152)(24, 136)(25, 137)(26, 138)(27, 143)(28, 159)(29, 160)(30, 144)(31, 145)(32, 161)(33, 162)(34, 146)(35, 147)(36, 148)(37, 153)(38, 169)(39, 170)(40, 154)(41, 155)(42, 171)(43, 172)(44, 156)(45, 157)(46, 158)(47, 163)(48, 179)(49, 180)(50, 164)(51, 165)(52, 178)(53, 176)(54, 166)(55, 167)(56, 168)(57, 173)(58, 175)(59, 177)(60, 174)(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, 24, 2, 24, 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 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 E22.1171
Graph:: bipartite
	v = 13 e = 120 f = 65
	degree seq :: [ 10^12, 120 ]

E22.1171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 12, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1, Y3^2 * Y1^3 * Y3^-2 * Y1^-3, Y1^-4 * Y3^-1 * Y1^-1 * Y3^-4, (Y1^-1 * Y3^-1)^5, Y3^3 * Y1^-1 * Y3^2 * Y1^-6, Y3^9 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 42, 102, 56, 116, 51, 111, 37, 97, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 43, 103, 41, 101, 50, 110, 60, 120, 55, 115, 36, 96, 21, 81, 10, 70)(5, 65, 8, 68, 16, 76, 28, 88, 44, 104, 57, 117, 52, 112, 33, 93, 49, 109, 38, 98, 23, 83, 12, 72)(9, 69, 17, 77, 29, 89, 45, 105, 40, 100, 25, 85, 32, 92, 48, 108, 59, 119, 54, 114, 35, 95, 20, 80)(13, 73, 18, 78, 30, 90, 46, 106, 58, 118, 53, 113, 34, 94, 19, 79, 31, 91, 47, 107, 39, 99, 24, 84)(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, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 163)(27, 165)(28, 134)(29, 167)(30, 136)(31, 169)(32, 138)(33, 171)(34, 172)(35, 173)(36, 174)(37, 175)(38, 142)(39, 143)(40, 144)(41, 145)(42, 161)(43, 160)(44, 146)(45, 159)(46, 148)(47, 158)(48, 150)(49, 157)(50, 152)(51, 180)(52, 176)(53, 177)(54, 178)(55, 179)(56, 170)(57, 162)(58, 164)(59, 166)(60, 168)(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, 120 ), ( 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120, 10, 120 ) }
Outer automorphisms :: reflexible
Dual of E22.1170
Graph:: simple bipartite
	v = 65 e = 120 f = 13
	degree seq :: [ 2^60, 24^5 ]

E22.1172 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-15 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 59, 51, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 50, 58, 56, 48, 40, 32, 24, 16, 8)(61, 62, 66, 64)(63, 67, 73, 70)(65, 68, 74, 71)(69, 75, 81, 78)(72, 76, 82, 79)(77, 83, 89, 86)(80, 84, 90, 87)(85, 91, 97, 94)(88, 92, 98, 95)(93, 99, 105, 102)(96, 100, 106, 103)(101, 107, 113, 110)(104, 108, 114, 111)(109, 115, 120, 118)(112, 116, 117, 119)
	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) :: { ( 120^4 ), ( 120^30 ) }
Outer automorphisms :: reflexible
Dual of E22.1176
Transitivity :: ET+
Graph:: bipartite
	v = 17 e = 60 f = 1
	degree seq :: [ 4^15, 30^2 ]

E22.1173 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^-4, T1^9 * T2^-6, T1^3 * T2^18, T2^60 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 41, 49, 57, 55, 46, 37, 32, 18, 8, 2, 7, 17, 31, 22, 36, 44, 52, 60, 54, 45, 40, 30, 16, 6, 15, 29, 23, 11, 21, 35, 43, 51, 59, 53, 48, 39, 28, 14, 27, 24, 12, 4, 10, 20, 34, 42, 50, 58, 56, 47, 38, 26, 25, 13, 5)(61, 62, 66, 74, 86, 97, 105, 113, 118, 109, 104, 95, 80, 69, 77, 89, 84, 73, 78, 90, 99, 107, 115, 120, 111, 102, 93, 82, 71, 64)(63, 67, 75, 87, 85, 92, 100, 108, 116, 117, 112, 103, 94, 79, 91, 83, 72, 65, 68, 76, 88, 98, 106, 114, 119, 110, 101, 96, 81, 70)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 8^30 ), ( 8^60 ) }
Outer automorphisms :: reflexible
Dual of E22.1177
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 60 f = 15
	degree seq :: [ 30^2, 60 ]

E22.1174 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 30, 60})
Quotient :: edge
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-15 * T2^-1, (T1^-1 * T2^-1)^30 ]
Map:: non-degenerate
	R = (1, 3, 9, 5)(2, 7, 16, 8)(4, 10, 17, 12)(6, 14, 24, 15)(11, 18, 25, 20)(13, 22, 32, 23)(19, 26, 33, 28)(21, 30, 40, 31)(27, 34, 41, 36)(29, 38, 48, 39)(35, 42, 49, 44)(37, 46, 56, 47)(43, 50, 57, 52)(45, 54, 60, 55)(51, 58, 59, 53)(61, 62, 66, 73, 81, 89, 97, 105, 113, 112, 104, 96, 88, 80, 72, 65, 68, 75, 83, 91, 99, 107, 115, 119, 117, 109, 101, 93, 85, 77, 69, 76, 84, 92, 100, 108, 116, 120, 118, 110, 102, 94, 86, 78, 70, 63, 67, 74, 82, 90, 98, 106, 114, 111, 103, 95, 87, 79, 71, 64)
	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) :: { ( 60^4 ), ( 60^60 ) }
Outer automorphisms :: reflexible
Dual of E22.1175
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 60 f = 2
	degree seq :: [ 4^15, 60 ]

E22.1175 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^-1, T1^-1), T2^-15 * T1^2 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 17, 77, 25, 85, 33, 93, 41, 101, 49, 109, 57, 117, 54, 114, 46, 106, 38, 98, 30, 90, 22, 82, 14, 74, 6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 60, 120, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65)(2, 62, 7, 67, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 59, 119, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64, 10, 70, 18, 78, 26, 86, 34, 94, 42, 102, 50, 110, 58, 118, 56, 116, 48, 108, 40, 100, 32, 92, 24, 84, 16, 76, 8, 68)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 64)(7, 73)(8, 74)(9, 75)(10, 63)(11, 65)(12, 76)(13, 70)(14, 71)(15, 81)(16, 82)(17, 83)(18, 69)(19, 72)(20, 84)(21, 78)(22, 79)(23, 89)(24, 90)(25, 91)(26, 77)(27, 80)(28, 92)(29, 86)(30, 87)(31, 97)(32, 98)(33, 99)(34, 85)(35, 88)(36, 100)(37, 94)(38, 95)(39, 105)(40, 106)(41, 107)(42, 93)(43, 96)(44, 108)(45, 102)(46, 103)(47, 113)(48, 114)(49, 115)(50, 101)(51, 104)(52, 116)(53, 110)(54, 111)(55, 120)(56, 117)(57, 119)(58, 109)(59, 112)(60, 118)
	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, 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 E22.1174
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 60 f = 16
	degree seq :: [ 60^2 ]

E22.1176 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-4 * T2^-4, T1^9 * T2^-6, T1^3 * T2^18, T2^60 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 19, 79, 33, 93, 41, 101, 49, 109, 57, 117, 55, 115, 46, 106, 37, 97, 32, 92, 18, 78, 8, 68, 2, 62, 7, 67, 17, 77, 31, 91, 22, 82, 36, 96, 44, 104, 52, 112, 60, 120, 54, 114, 45, 105, 40, 100, 30, 90, 16, 76, 6, 66, 15, 75, 29, 89, 23, 83, 11, 71, 21, 81, 35, 95, 43, 103, 51, 111, 59, 119, 53, 113, 48, 108, 39, 99, 28, 88, 14, 74, 27, 87, 24, 84, 12, 72, 4, 64, 10, 70, 20, 80, 34, 94, 42, 102, 50, 110, 58, 118, 56, 116, 47, 107, 38, 98, 26, 86, 25, 85, 13, 73, 5, 65)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 74)(7, 75)(8, 76)(9, 77)(10, 63)(11, 64)(12, 65)(13, 78)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 69)(21, 70)(22, 71)(23, 72)(24, 73)(25, 92)(26, 97)(27, 85)(28, 98)(29, 84)(30, 99)(31, 83)(32, 100)(33, 82)(34, 79)(35, 80)(36, 81)(37, 105)(38, 106)(39, 107)(40, 108)(41, 96)(42, 93)(43, 94)(44, 95)(45, 113)(46, 114)(47, 115)(48, 116)(49, 104)(50, 101)(51, 102)(52, 103)(53, 118)(54, 119)(55, 120)(56, 117)(57, 112)(58, 109)(59, 110)(60, 111)
	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, 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 E22.1172
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 60 f = 17
	degree seq :: [ 120 ]

E22.1177 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 30, 60})
Quotient :: loop
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T2^4, (T1, T2^-1), T1^-15 * T2^-1, (T1^-1 * T2^-1)^30 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 5, 65)(2, 62, 7, 67, 16, 76, 8, 68)(4, 64, 10, 70, 17, 77, 12, 72)(6, 66, 14, 74, 24, 84, 15, 75)(11, 71, 18, 78, 25, 85, 20, 80)(13, 73, 22, 82, 32, 92, 23, 83)(19, 79, 26, 86, 33, 93, 28, 88)(21, 81, 30, 90, 40, 100, 31, 91)(27, 87, 34, 94, 41, 101, 36, 96)(29, 89, 38, 98, 48, 108, 39, 99)(35, 95, 42, 102, 49, 109, 44, 104)(37, 97, 46, 106, 56, 116, 47, 107)(43, 103, 50, 110, 57, 117, 52, 112)(45, 105, 54, 114, 60, 120, 55, 115)(51, 111, 58, 118, 59, 119, 53, 113)
	L = (1, 62)(2, 66)(3, 67)(4, 61)(5, 68)(6, 73)(7, 74)(8, 75)(9, 76)(10, 63)(11, 64)(12, 65)(13, 81)(14, 82)(15, 83)(16, 84)(17, 69)(18, 70)(19, 71)(20, 72)(21, 89)(22, 90)(23, 91)(24, 92)(25, 77)(26, 78)(27, 79)(28, 80)(29, 97)(30, 98)(31, 99)(32, 100)(33, 85)(34, 86)(35, 87)(36, 88)(37, 105)(38, 106)(39, 107)(40, 108)(41, 93)(42, 94)(43, 95)(44, 96)(45, 113)(46, 114)(47, 115)(48, 116)(49, 101)(50, 102)(51, 103)(52, 104)(53, 112)(54, 111)(55, 119)(56, 120)(57, 109)(58, 110)(59, 117)(60, 118)
	local type(s) :: { ( 30, 60, 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1173
Transitivity :: ET+ VT+ AT
Graph::
	v = 15 e = 60 f = 3
	degree seq :: [ 8^15 ]

E22.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^-15 * 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 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 61, 2, 62, 6, 66, 4, 64)(3, 63, 7, 67, 13, 73, 10, 70)(5, 65, 8, 68, 14, 74, 11, 71)(9, 69, 15, 75, 21, 81, 18, 78)(12, 72, 16, 76, 22, 82, 19, 79)(17, 77, 23, 83, 29, 89, 26, 86)(20, 80, 24, 84, 30, 90, 27, 87)(25, 85, 31, 91, 37, 97, 34, 94)(28, 88, 32, 92, 38, 98, 35, 95)(33, 93, 39, 99, 45, 105, 42, 102)(36, 96, 40, 100, 46, 106, 43, 103)(41, 101, 47, 107, 53, 113, 50, 110)(44, 104, 48, 108, 54, 114, 51, 111)(49, 109, 55, 115, 60, 120, 58, 118)(52, 112, 56, 116, 57, 117, 59, 119)(121, 181, 123, 183, 129, 189, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 177, 237, 174, 234, 166, 226, 158, 218, 150, 210, 142, 202, 134, 194, 126, 186, 133, 193, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 180, 240, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 132, 192, 125, 185)(122, 182, 127, 187, 135, 195, 143, 203, 151, 211, 159, 219, 167, 227, 175, 235, 179, 239, 171, 231, 163, 223, 155, 215, 147, 207, 139, 199, 131, 191, 124, 184, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 178, 238, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 128, 188)
	L = (1, 124)(2, 121)(3, 130)(4, 126)(5, 131)(6, 122)(7, 123)(8, 125)(9, 138)(10, 133)(11, 134)(12, 139)(13, 127)(14, 128)(15, 129)(16, 132)(17, 146)(18, 141)(19, 142)(20, 147)(21, 135)(22, 136)(23, 137)(24, 140)(25, 154)(26, 149)(27, 150)(28, 155)(29, 143)(30, 144)(31, 145)(32, 148)(33, 162)(34, 157)(35, 158)(36, 163)(37, 151)(38, 152)(39, 153)(40, 156)(41, 170)(42, 165)(43, 166)(44, 171)(45, 159)(46, 160)(47, 161)(48, 164)(49, 178)(50, 173)(51, 174)(52, 179)(53, 167)(54, 168)(55, 169)(56, 172)(57, 176)(58, 180)(59, 177)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 120, 2, 120, 2, 120, 2, 120 ), ( 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120, 2, 120 ) }
Outer automorphisms :: reflexible
Dual of E22.1181
Graph:: bipartite
	v = 17 e = 120 f = 61
	degree seq :: [ 8^15, 60^2 ]

E22.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^3 * Y1 * Y2 * Y1^3, (Y3^-1 * Y1^-1)^4, Y2^12 * Y1^-1 * Y2^2, Y1^8 * Y2^-1 * Y1 * Y2^-5 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 37, 97, 45, 105, 53, 113, 58, 118, 49, 109, 44, 104, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 24, 84, 13, 73, 18, 78, 30, 90, 39, 99, 47, 107, 55, 115, 60, 120, 51, 111, 42, 102, 33, 93, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 25, 85, 32, 92, 40, 100, 48, 108, 56, 116, 57, 117, 52, 112, 43, 103, 34, 94, 19, 79, 31, 91, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 38, 98, 46, 106, 54, 114, 59, 119, 50, 110, 41, 101, 36, 96, 21, 81, 10, 70)(121, 181, 123, 183, 129, 189, 139, 199, 153, 213, 161, 221, 169, 229, 177, 237, 175, 235, 166, 226, 157, 217, 152, 212, 138, 198, 128, 188, 122, 182, 127, 187, 137, 197, 151, 211, 142, 202, 156, 216, 164, 224, 172, 232, 180, 240, 174, 234, 165, 225, 160, 220, 150, 210, 136, 196, 126, 186, 135, 195, 149, 209, 143, 203, 131, 191, 141, 201, 155, 215, 163, 223, 171, 231, 179, 239, 173, 233, 168, 228, 159, 219, 148, 208, 134, 194, 147, 207, 144, 204, 132, 192, 124, 184, 130, 190, 140, 200, 154, 214, 162, 222, 170, 230, 178, 238, 176, 236, 167, 227, 158, 218, 146, 206, 145, 205, 133, 193, 125, 185)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 145)(27, 144)(28, 134)(29, 143)(30, 136)(31, 142)(32, 138)(33, 161)(34, 162)(35, 163)(36, 164)(37, 152)(38, 146)(39, 148)(40, 150)(41, 169)(42, 170)(43, 171)(44, 172)(45, 160)(46, 157)(47, 158)(48, 159)(49, 177)(50, 178)(51, 179)(52, 180)(53, 168)(54, 165)(55, 166)(56, 167)(57, 175)(58, 176)(59, 173)(60, 174)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E22.1180
Graph:: bipartite
	v = 3 e = 120 f = 75
	degree seq :: [ 60^2, 120 ]

E22.1180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^4, Y2^-1 * Y3^15, 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^-1 * Y1^-1)^60 ]
Map::
	R = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)(121, 181, 122, 182, 126, 186, 124, 184)(123, 183, 127, 187, 133, 193, 130, 190)(125, 185, 128, 188, 134, 194, 131, 191)(129, 189, 135, 195, 141, 201, 138, 198)(132, 192, 136, 196, 142, 202, 139, 199)(137, 197, 143, 203, 149, 209, 146, 206)(140, 200, 144, 204, 150, 210, 147, 207)(145, 205, 151, 211, 157, 217, 154, 214)(148, 208, 152, 212, 158, 218, 155, 215)(153, 213, 159, 219, 165, 225, 162, 222)(156, 216, 160, 220, 166, 226, 163, 223)(161, 221, 167, 227, 173, 233, 170, 230)(164, 224, 168, 228, 174, 234, 171, 231)(169, 229, 175, 235, 179, 239, 177, 237)(172, 232, 176, 236, 180, 240, 178, 238)
	L = (1, 123)(2, 127)(3, 129)(4, 130)(5, 121)(6, 133)(7, 135)(8, 122)(9, 137)(10, 138)(11, 124)(12, 125)(13, 141)(14, 126)(15, 143)(16, 128)(17, 145)(18, 146)(19, 131)(20, 132)(21, 149)(22, 134)(23, 151)(24, 136)(25, 153)(26, 154)(27, 139)(28, 140)(29, 157)(30, 142)(31, 159)(32, 144)(33, 161)(34, 162)(35, 147)(36, 148)(37, 165)(38, 150)(39, 167)(40, 152)(41, 169)(42, 170)(43, 155)(44, 156)(45, 173)(46, 158)(47, 175)(48, 160)(49, 176)(50, 177)(51, 163)(52, 164)(53, 179)(54, 166)(55, 180)(56, 168)(57, 172)(58, 171)(59, 178)(60, 174)(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) :: { ( 60, 120 ), ( 60, 120, 60, 120, 60, 120, 60, 120 ) }
Outer automorphisms :: reflexible
Dual of E22.1179
Graph:: simple bipartite
	v = 75 e = 120 f = 3
	degree seq :: [ 2^60, 8^15 ]

E22.1181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-15 * Y3^-1, (Y1^-1 * Y3^-1)^30 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 13, 73, 21, 81, 29, 89, 37, 97, 45, 105, 53, 113, 52, 112, 44, 104, 36, 96, 28, 88, 20, 80, 12, 72, 5, 65, 8, 68, 15, 75, 23, 83, 31, 91, 39, 99, 47, 107, 55, 115, 59, 119, 57, 117, 49, 109, 41, 101, 33, 93, 25, 85, 17, 77, 9, 69, 16, 76, 24, 84, 32, 92, 40, 100, 48, 108, 56, 116, 60, 120, 58, 118, 50, 110, 42, 102, 34, 94, 26, 86, 18, 78, 10, 70, 3, 63, 7, 67, 14, 74, 22, 82, 30, 90, 38, 98, 46, 106, 54, 114, 51, 111, 43, 103, 35, 95, 27, 87, 19, 79, 11, 71, 4, 64)(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, 129)(4, 130)(5, 121)(6, 134)(7, 136)(8, 122)(9, 125)(10, 137)(11, 138)(12, 124)(13, 142)(14, 144)(15, 126)(16, 128)(17, 132)(18, 145)(19, 146)(20, 131)(21, 150)(22, 152)(23, 133)(24, 135)(25, 140)(26, 153)(27, 154)(28, 139)(29, 158)(30, 160)(31, 141)(32, 143)(33, 148)(34, 161)(35, 162)(36, 147)(37, 166)(38, 168)(39, 149)(40, 151)(41, 156)(42, 169)(43, 170)(44, 155)(45, 174)(46, 176)(47, 157)(48, 159)(49, 164)(50, 177)(51, 178)(52, 163)(53, 171)(54, 180)(55, 165)(56, 167)(57, 172)(58, 179)(59, 173)(60, 175)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 60 ), ( 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60, 8, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1178
Graph:: bipartite
	v = 61 e = 120 f = 17
	degree seq :: [ 2^60, 120 ]

E22.1182 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y1^4, Y3 * Y2^-15, 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 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 4, 64)(3, 63, 7, 67, 13, 73, 10, 70)(5, 65, 8, 68, 14, 74, 11, 71)(9, 69, 15, 75, 21, 81, 18, 78)(12, 72, 16, 76, 22, 82, 19, 79)(17, 77, 23, 83, 29, 89, 26, 86)(20, 80, 24, 84, 30, 90, 27, 87)(25, 85, 31, 91, 37, 97, 34, 94)(28, 88, 32, 92, 38, 98, 35, 95)(33, 93, 39, 99, 45, 105, 42, 102)(36, 96, 40, 100, 46, 106, 43, 103)(41, 101, 47, 107, 53, 113, 50, 110)(44, 104, 48, 108, 54, 114, 51, 111)(49, 109, 55, 115, 59, 119, 58, 118)(52, 112, 56, 116, 60, 120, 57, 117)(121, 181, 123, 183, 129, 189, 137, 197, 145, 205, 153, 213, 161, 221, 169, 229, 177, 237, 171, 231, 163, 223, 155, 215, 147, 207, 139, 199, 131, 191, 124, 184, 130, 190, 138, 198, 146, 206, 154, 214, 162, 222, 170, 230, 178, 238, 180, 240, 174, 234, 166, 226, 158, 218, 150, 210, 142, 202, 134, 194, 126, 186, 133, 193, 141, 201, 149, 209, 157, 217, 165, 225, 173, 233, 179, 239, 176, 236, 168, 228, 160, 220, 152, 212, 144, 204, 136, 196, 128, 188, 122, 182, 127, 187, 135, 195, 143, 203, 151, 211, 159, 219, 167, 227, 175, 235, 172, 232, 164, 224, 156, 216, 148, 208, 140, 200, 132, 192, 125, 185)
	L = (1, 124)(2, 121)(3, 130)(4, 126)(5, 131)(6, 122)(7, 123)(8, 125)(9, 138)(10, 133)(11, 134)(12, 139)(13, 127)(14, 128)(15, 129)(16, 132)(17, 146)(18, 141)(19, 142)(20, 147)(21, 135)(22, 136)(23, 137)(24, 140)(25, 154)(26, 149)(27, 150)(28, 155)(29, 143)(30, 144)(31, 145)(32, 148)(33, 162)(34, 157)(35, 158)(36, 163)(37, 151)(38, 152)(39, 153)(40, 156)(41, 170)(42, 165)(43, 166)(44, 171)(45, 159)(46, 160)(47, 161)(48, 164)(49, 178)(50, 173)(51, 174)(52, 177)(53, 167)(54, 168)(55, 169)(56, 172)(57, 180)(58, 179)(59, 175)(60, 176)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 2, 60, 2, 60, 2, 60, 2, 60 ), ( 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60, 2, 60 ) }
Outer automorphisms :: reflexible
Dual of E22.1183
Graph:: bipartite
	v = 16 e = 120 f = 62
	degree seq :: [ 8^15, 120 ]

E22.1183 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 30, 60})
Quotient :: dipole
Aut^+ = C60 (small group id <60, 4>)
Aut   = D120 (small group id <120, 28>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^4, Y3^13 * Y1^-1 * Y3, Y1^7 * Y3^-1 * Y1 * Y3^-5 * Y1, (Y3 * Y2^-1)^60 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 14, 74, 26, 86, 37, 97, 45, 105, 53, 113, 58, 118, 49, 109, 44, 104, 35, 95, 20, 80, 9, 69, 17, 77, 29, 89, 24, 84, 13, 73, 18, 78, 30, 90, 39, 99, 47, 107, 55, 115, 60, 120, 51, 111, 42, 102, 33, 93, 22, 82, 11, 71, 4, 64)(3, 63, 7, 67, 15, 75, 27, 87, 25, 85, 32, 92, 40, 100, 48, 108, 56, 116, 57, 117, 52, 112, 43, 103, 34, 94, 19, 79, 31, 91, 23, 83, 12, 72, 5, 65, 8, 68, 16, 76, 28, 88, 38, 98, 46, 106, 54, 114, 59, 119, 50, 110, 41, 101, 36, 96, 21, 81, 10, 70)(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, 129)(4, 130)(5, 121)(6, 135)(7, 137)(8, 122)(9, 139)(10, 140)(11, 141)(12, 124)(13, 125)(14, 147)(15, 149)(16, 126)(17, 151)(18, 128)(19, 153)(20, 154)(21, 155)(22, 156)(23, 131)(24, 132)(25, 133)(26, 145)(27, 144)(28, 134)(29, 143)(30, 136)(31, 142)(32, 138)(33, 161)(34, 162)(35, 163)(36, 164)(37, 152)(38, 146)(39, 148)(40, 150)(41, 169)(42, 170)(43, 171)(44, 172)(45, 160)(46, 157)(47, 158)(48, 159)(49, 177)(50, 178)(51, 179)(52, 180)(53, 168)(54, 165)(55, 166)(56, 167)(57, 175)(58, 176)(59, 173)(60, 174)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 8, 120 ), ( 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120, 8, 120 ) }
Outer automorphisms :: reflexible
Dual of E22.1182
Graph:: simple bipartite
	v = 62 e = 120 f = 16
	degree seq :: [ 2^60, 60^2 ]

E22.1184 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 6
Presentation :: [ Y1^3, Y2^3, Y3^3, R^2 * Y3^-1, (Y3, Y2), Y2 * R^-1 * Y1 * R, (Y1, Y3^-1), Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 64, 2, 65, 5, 68)(3, 66, 12, 75, 14, 77)(4, 67, 9, 72, 16, 79)(6, 69, 21, 84, 22, 85)(7, 70, 11, 74, 20, 83)(8, 71, 24, 87, 26, 89)(10, 73, 29, 92, 30, 93)(13, 76, 32, 95, 35, 98)(15, 78, 34, 97, 37, 100)(17, 80, 40, 103, 41, 104)(18, 81, 36, 99, 42, 105)(19, 82, 33, 96, 44, 107)(23, 86, 46, 109, 47, 110)(25, 88, 48, 111, 50, 113)(27, 90, 49, 112, 51, 114)(28, 91, 52, 115, 53, 116)(31, 94, 54, 117, 55, 118)(38, 101, 58, 121, 60, 123)(39, 102, 56, 119, 61, 124)(43, 106, 59, 122, 62, 125)(45, 108, 57, 120, 63, 126)(127, 190, 129, 192, 132, 195)(128, 191, 134, 197, 136, 199)(130, 193, 139, 202, 143, 206)(131, 194, 144, 207, 145, 208)(133, 196, 141, 204, 149, 212)(135, 198, 151, 214, 154, 217)(137, 200, 153, 216, 157, 220)(138, 201, 152, 215, 159, 222)(140, 203, 155, 218, 162, 225)(142, 205, 164, 227, 165, 228)(146, 209, 169, 232, 171, 234)(147, 210, 150, 213, 168, 231)(148, 211, 170, 233, 156, 219)(158, 221, 176, 239, 182, 245)(160, 223, 177, 240, 183, 246)(161, 224, 178, 241, 184, 247)(163, 226, 180, 243, 185, 248)(166, 229, 174, 237, 186, 249)(167, 230, 187, 250, 179, 242)(172, 235, 175, 238, 188, 251)(173, 236, 189, 252, 181, 244)
	L = (1, 130)(2, 135)(3, 139)(4, 133)(5, 142)(6, 143)(7, 127)(8, 151)(9, 137)(10, 154)(11, 128)(12, 158)(13, 141)(14, 161)(15, 129)(16, 146)(17, 149)(18, 164)(19, 165)(20, 131)(21, 166)(22, 167)(23, 132)(24, 174)(25, 153)(26, 176)(27, 134)(28, 157)(29, 178)(30, 179)(31, 136)(32, 160)(33, 182)(34, 138)(35, 163)(36, 184)(37, 140)(38, 169)(39, 171)(40, 172)(41, 173)(42, 186)(43, 144)(44, 187)(45, 145)(46, 147)(47, 148)(48, 175)(49, 150)(50, 177)(51, 152)(52, 180)(53, 181)(54, 155)(55, 156)(56, 183)(57, 159)(58, 185)(59, 162)(60, 188)(61, 189)(62, 168)(63, 170)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1185 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 6
Presentation :: [ Y2^3, Y1^3, Y2^3, R^2 * Y3^-1, Y3^3, Y2 * R^-1 * Y1 * R, Y1 * Y2 * Y3 * Y2, Y2 * R^-1 * Y1 * R, Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y1^-1 * R^-1 * Y1 * R^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y1^-1)^3, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1, (Y2 * Y1^-1)^3, (Y3 * Y2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 64, 2, 65, 5, 68)(3, 66, 12, 75, 14, 77)(4, 67, 16, 79, 18, 81)(6, 69, 23, 86, 17, 80)(7, 70, 25, 88, 27, 90)(8, 71, 28, 91, 29, 92)(9, 72, 30, 93, 32, 95)(10, 73, 34, 97, 31, 94)(11, 74, 36, 99, 38, 101)(13, 76, 41, 104, 42, 105)(15, 78, 44, 107, 46, 109)(19, 82, 53, 116, 26, 89)(20, 83, 54, 117, 45, 108)(21, 84, 55, 118, 50, 113)(22, 85, 43, 106, 47, 110)(24, 87, 59, 122, 60, 123)(33, 96, 49, 112, 37, 100)(35, 98, 48, 111, 40, 103)(39, 102, 51, 114, 62, 125)(52, 115, 57, 120, 56, 119)(58, 121, 61, 124, 63, 126)(127, 190, 129, 192, 132, 195)(128, 191, 134, 197, 136, 199)(130, 193, 143, 206, 145, 208)(131, 194, 146, 209, 139, 202)(133, 196, 152, 215, 138, 201)(135, 198, 157, 220, 159, 222)(137, 200, 163, 226, 154, 217)(140, 203, 160, 223, 150, 213)(141, 204, 171, 234, 149, 212)(142, 205, 162, 225, 172, 235)(144, 207, 177, 240, 175, 238)(147, 210, 168, 231, 182, 245)(148, 211, 183, 246, 180, 243)(151, 214, 166, 229, 181, 244)(153, 216, 185, 248, 187, 250)(155, 218, 167, 230, 161, 224)(156, 219, 169, 232, 186, 249)(158, 221, 188, 251, 178, 241)(164, 227, 174, 237, 189, 252)(165, 228, 179, 242, 176, 239)(170, 233, 184, 247, 173, 236)
	L = (1, 130)(2, 135)(3, 139)(4, 133)(5, 147)(6, 150)(7, 127)(8, 132)(9, 137)(10, 161)(11, 128)(12, 165)(13, 141)(14, 169)(15, 129)(16, 173)(17, 175)(18, 157)(19, 171)(20, 136)(21, 148)(22, 131)(23, 183)(24, 134)(25, 182)(26, 187)(27, 170)(28, 177)(29, 151)(30, 153)(31, 178)(32, 168)(33, 140)(34, 152)(35, 146)(36, 145)(37, 189)(38, 185)(39, 166)(40, 138)(41, 163)(42, 179)(43, 159)(44, 156)(45, 162)(46, 154)(47, 174)(48, 142)(49, 176)(50, 143)(51, 172)(52, 144)(53, 158)(54, 188)(55, 164)(56, 155)(57, 184)(58, 149)(59, 181)(60, 180)(61, 160)(62, 186)(63, 167)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1186 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y2^3, R^2 * Y3^-1, Y1^3, Y2 * R^-1 * Y1 * R, (Y2 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 64, 2, 65, 4, 67)(3, 66, 8, 71, 9, 72)(5, 68, 12, 75, 13, 76)(6, 69, 14, 77, 15, 78)(7, 70, 16, 79, 17, 80)(10, 73, 21, 84, 22, 85)(11, 74, 23, 86, 24, 87)(18, 81, 33, 96, 34, 97)(19, 82, 26, 89, 35, 98)(20, 83, 36, 99, 37, 100)(25, 88, 42, 105, 43, 106)(27, 90, 44, 107, 45, 108)(28, 91, 46, 109, 47, 110)(29, 92, 31, 94, 48, 111)(30, 93, 49, 112, 50, 113)(32, 95, 51, 114, 52, 115)(38, 101, 57, 120, 58, 121)(39, 102, 40, 103, 59, 122)(41, 104, 53, 116, 55, 118)(54, 117, 62, 125, 60, 123)(56, 119, 61, 124, 63, 126)(127, 190, 129, 192, 131, 194)(128, 191, 132, 195, 133, 196)(130, 193, 136, 199, 137, 200)(134, 197, 144, 207, 145, 208)(135, 198, 142, 205, 146, 209)(138, 201, 151, 214, 148, 211)(139, 202, 152, 215, 153, 216)(140, 203, 154, 217, 155, 218)(141, 204, 149, 212, 156, 219)(143, 206, 157, 220, 158, 221)(147, 210, 164, 227, 165, 228)(150, 213, 166, 229, 167, 230)(159, 222, 176, 239, 179, 242)(160, 223, 162, 225, 180, 243)(161, 224, 181, 244, 182, 245)(163, 226, 177, 240, 183, 246)(168, 231, 186, 249, 184, 247)(169, 232, 170, 233, 172, 235)(171, 234, 187, 250, 174, 237)(173, 236, 175, 238, 188, 251)(178, 241, 189, 252, 185, 248)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1187 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = C3 x (C7 : C3) (small group id <63, 3>)
Aut   = C6 x (C7 : C3) (small group id <126, 10>)
|r| :: 6
Presentation :: [ Y3^3, Y1^3, Y2^3, R^2 * Y3^-1, Y2 * R^-1 * Y1 * R, Y1 * Y3^-1 * Y2 * Y3, Y3^-1 * Y1 * Y3 * Y1 * Y2^-1, R^-1 * Y2^-1 * R * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1, (Y2^-1 * Y1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 64, 2, 65, 5, 68)(3, 66, 12, 75, 14, 77)(4, 67, 16, 79, 13, 76)(6, 69, 23, 86, 24, 87)(7, 70, 26, 89, 27, 90)(8, 71, 28, 91, 30, 93)(9, 72, 17, 80, 29, 92)(10, 73, 34, 97, 35, 98)(11, 74, 36, 99, 37, 100)(15, 78, 44, 107, 45, 108)(18, 81, 47, 110, 48, 111)(19, 82, 38, 101, 50, 113)(20, 83, 32, 95, 49, 112)(21, 84, 52, 115, 43, 106)(22, 85, 53, 116, 25, 88)(31, 94, 56, 119, 60, 123)(33, 96, 42, 105, 61, 124)(39, 102, 41, 104, 58, 121)(40, 103, 51, 114, 62, 125)(46, 109, 59, 122, 54, 117)(55, 118, 57, 120, 63, 126)(127, 190, 129, 192, 132, 195)(128, 191, 134, 197, 136, 199)(130, 193, 143, 206, 144, 207)(131, 194, 145, 208, 147, 210)(133, 196, 148, 211, 137, 200)(135, 198, 158, 221, 159, 222)(138, 201, 164, 227, 154, 217)(139, 202, 167, 230, 168, 231)(140, 203, 160, 223, 169, 232)(141, 204, 152, 215, 166, 229)(142, 205, 172, 235, 146, 209)(149, 212, 161, 224, 176, 239)(150, 213, 156, 219, 178, 241)(151, 214, 170, 233, 181, 244)(153, 216, 182, 245, 183, 246)(155, 218, 184, 247, 185, 248)(157, 220, 162, 225, 171, 234)(163, 226, 188, 251, 189, 252)(165, 228, 173, 236, 175, 238)(174, 237, 180, 243, 187, 250)(177, 240, 179, 242, 186, 249)
	L = (1, 130)(2, 135)(3, 139)(4, 133)(5, 146)(6, 142)(7, 127)(8, 155)(9, 137)(10, 143)(11, 128)(12, 165)(13, 141)(14, 144)(15, 129)(16, 151)(17, 153)(18, 152)(19, 175)(20, 148)(21, 158)(22, 131)(23, 180)(24, 168)(25, 132)(26, 140)(27, 136)(28, 167)(29, 157)(30, 159)(31, 134)(32, 163)(33, 162)(34, 174)(35, 185)(36, 156)(37, 147)(38, 184)(39, 166)(40, 138)(41, 171)(42, 170)(43, 173)(44, 150)(45, 154)(46, 179)(47, 188)(48, 183)(49, 177)(50, 172)(51, 145)(52, 187)(53, 176)(54, 181)(55, 149)(56, 161)(57, 160)(58, 186)(59, 182)(60, 164)(61, 189)(62, 169)(63, 178)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1188 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {9, 9, 9})
Quotient :: edge
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X2^3 * X1^-3, X1 * X2^2 * X1^-1 * X2 * X1 * X2^-1, X1 * X2 * X1^-1 * X2^-2 * X1^-1 * X2^-1, X1 * X2 * X1^-1 * X2^2 * X1 * X2 * X1, X1^9, X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 48, 61, 37, 13, 4)(3, 9, 27, 49, 56, 47, 17, 33, 11)(5, 15, 31, 10, 30, 55, 62, 45, 16)(7, 21, 54, 63, 46, 29, 26, 57, 23)(8, 24, 34, 22, 42, 60, 38, 58, 25)(12, 35, 51, 19, 32, 44, 41, 59, 36)(14, 39, 53, 20, 52, 28, 50, 43, 40)(64, 66, 73, 81, 112, 125, 100, 80, 68)(65, 70, 85, 111, 126, 101, 76, 89, 71)(67, 75, 83, 69, 82, 113, 124, 104, 77)(72, 91, 86, 119, 103, 117, 96, 116, 92)(74, 95, 123, 90, 122, 88, 110, 98, 97)(78, 105, 102, 93, 121, 115, 108, 87, 106)(79, 107, 120, 94, 99, 84, 118, 114, 109)
	L = (1, 64)(2, 65)(3, 66)(4, 67)(5, 68)(6, 69)(7, 70)(8, 71)(9, 72)(10, 73)(11, 74)(12, 75)(13, 76)(14, 77)(15, 78)(16, 79)(17, 80)(18, 81)(19, 82)(20, 83)(21, 84)(22, 85)(23, 86)(24, 87)(25, 88)(26, 89)(27, 90)(28, 91)(29, 92)(30, 93)(31, 94)(32, 95)(33, 96)(34, 97)(35, 98)(36, 99)(37, 100)(38, 101)(39, 102)(40, 103)(41, 104)(42, 105)(43, 106)(44, 107)(45, 108)(46, 109)(47, 110)(48, 111)(49, 112)(50, 113)(51, 114)(52, 115)(53, 116)(54, 117)(55, 118)(56, 119)(57, 120)(58, 121)(59, 122)(60, 123)(61, 124)(62, 125)(63, 126)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: chiral
Dual of E22.1189
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 63 f = 7
	degree seq :: [ 9^14 ]

E22.1189 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {9, 9, 9})
Quotient :: loop
Aut^+ = C7 : C9 (small group id <63, 1>)
Aut   = C7 : C9 (small group id <63, 1>)
|r| :: 1
Presentation :: [ X2^-3 * X1^3, X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-1, X1^-1 * X2 * X1 * X2 * X1 * X2^-2 * X1^-1, X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1^4 * X2 * X1, X1^9 ]
Map:: non-degenerate
	R = (1, 64, 2, 65, 6, 69, 18, 81, 42, 105, 57, 120, 34, 97, 13, 76, 4, 67)(3, 66, 9, 72, 27, 90, 43, 106, 62, 125, 41, 104, 17, 80, 32, 95, 11, 74)(5, 68, 15, 78, 30, 93, 10, 73, 29, 92, 50, 113, 58, 121, 39, 102, 16, 79)(7, 70, 21, 84, 49, 112, 60, 123, 40, 103, 56, 119, 26, 89, 53, 116, 23, 86)(8, 71, 24, 87, 52, 115, 22, 85, 51, 114, 59, 122, 35, 98, 54, 117, 25, 88)(12, 75, 31, 94, 46, 109, 19, 82, 44, 107, 63, 126, 38, 101, 55, 118, 33, 96)(14, 77, 36, 99, 48, 111, 20, 83, 47, 110, 28, 91, 45, 108, 61, 124, 37, 100)
	L = (1, 66)(2, 70)(3, 73)(4, 75)(5, 64)(6, 82)(7, 85)(8, 65)(9, 91)(10, 81)(11, 94)(12, 83)(13, 89)(14, 67)(15, 87)(16, 96)(17, 68)(18, 106)(19, 108)(20, 69)(21, 113)(22, 105)(23, 72)(24, 110)(25, 74)(26, 71)(27, 107)(28, 112)(29, 114)(30, 109)(31, 115)(32, 111)(33, 116)(34, 80)(35, 76)(36, 78)(37, 119)(38, 77)(39, 117)(40, 79)(41, 118)(42, 123)(43, 121)(44, 122)(45, 120)(46, 84)(47, 92)(48, 86)(49, 125)(50, 126)(51, 124)(52, 90)(53, 93)(54, 99)(55, 88)(56, 95)(57, 101)(58, 97)(59, 104)(60, 98)(61, 102)(62, 100)(63, 103)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: chiral
Dual of E22.1188
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 63 f = 14
	degree seq :: [ 18^7 ]

E22.1190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^11 ]
Map:: non-degenerate
	R = (1, 67, 2, 68)(3, 69, 7, 73)(4, 70, 10, 76)(5, 71, 9, 75)(6, 72, 8, 74)(11, 77, 18, 84)(12, 78, 17, 83)(13, 79, 22, 88)(14, 80, 21, 87)(15, 81, 20, 86)(16, 82, 19, 85)(23, 89, 30, 96)(24, 90, 29, 95)(25, 91, 34, 100)(26, 92, 33, 99)(27, 93, 32, 98)(28, 94, 31, 97)(35, 101, 42, 108)(36, 102, 41, 107)(37, 103, 46, 112)(38, 104, 45, 111)(39, 105, 44, 110)(40, 106, 43, 109)(47, 113, 54, 120)(48, 114, 53, 119)(49, 115, 58, 124)(50, 116, 57, 123)(51, 117, 56, 122)(52, 118, 55, 121)(59, 125, 64, 130)(60, 126, 63, 129)(61, 127, 66, 132)(62, 128, 65, 131)(133, 199, 135, 201, 137, 203)(134, 200, 139, 205, 141, 207)(136, 202, 143, 209, 146, 212)(138, 204, 144, 210, 147, 213)(140, 206, 149, 215, 152, 218)(142, 208, 150, 216, 153, 219)(145, 211, 155, 221, 158, 224)(148, 214, 156, 222, 159, 225)(151, 217, 161, 227, 164, 230)(154, 220, 162, 228, 165, 231)(157, 223, 167, 233, 170, 236)(160, 226, 168, 234, 171, 237)(163, 229, 173, 239, 176, 242)(166, 232, 174, 240, 177, 243)(169, 235, 179, 245, 182, 248)(172, 238, 180, 246, 183, 249)(175, 241, 185, 251, 188, 254)(178, 244, 186, 252, 189, 255)(181, 247, 191, 257, 193, 259)(184, 250, 192, 258, 194, 260)(187, 253, 195, 261, 197, 263)(190, 256, 196, 262, 198, 264)
	L = (1, 136)(2, 140)(3, 143)(4, 145)(5, 146)(6, 133)(7, 149)(8, 151)(9, 152)(10, 134)(11, 155)(12, 135)(13, 157)(14, 158)(15, 137)(16, 138)(17, 161)(18, 139)(19, 163)(20, 164)(21, 141)(22, 142)(23, 167)(24, 144)(25, 169)(26, 170)(27, 147)(28, 148)(29, 173)(30, 150)(31, 175)(32, 176)(33, 153)(34, 154)(35, 179)(36, 156)(37, 181)(38, 182)(39, 159)(40, 160)(41, 185)(42, 162)(43, 187)(44, 188)(45, 165)(46, 166)(47, 191)(48, 168)(49, 184)(50, 193)(51, 171)(52, 172)(53, 195)(54, 174)(55, 190)(56, 197)(57, 177)(58, 178)(59, 192)(60, 180)(61, 194)(62, 183)(63, 196)(64, 186)(65, 198)(66, 189)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 66, 4, 66 ), ( 4, 66, 4, 66, 4, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1191
Graph:: simple bipartite
	v = 55 e = 132 f = 35
	degree seq :: [ 4^33, 6^22 ]

E22.1191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-3, Y1^2 * Y2 * Y1 * Y3^-1 * Y2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * R * Y2 * Y1^-1 * Y2 * R * Y1^2, Y1^6 * Y3^-5, Y1^3 * Y3^25 ]
Map:: non-degenerate
	R = (1, 67, 2, 68, 7, 73, 21, 87, 37, 103, 49, 115, 58, 124, 48, 114, 35, 101, 15, 81, 29, 95, 19, 85, 6, 72, 10, 76, 24, 90, 39, 105, 51, 117, 59, 125, 46, 112, 36, 102, 16, 82, 4, 70, 9, 75, 23, 89, 20, 86, 30, 96, 42, 108, 54, 120, 60, 126, 47, 113, 34, 100, 18, 84, 5, 71)(3, 69, 11, 77, 31, 97, 43, 109, 55, 121, 64, 130, 63, 129, 50, 116, 40, 106, 27, 93, 8, 74, 25, 91, 14, 80, 32, 98, 44, 110, 56, 122, 65, 131, 61, 127, 52, 118, 41, 107, 22, 88, 12, 78, 28, 94, 17, 83, 33, 99, 45, 111, 57, 123, 66, 132, 62, 128, 53, 119, 38, 104, 26, 92, 13, 79)(133, 199, 135, 201)(134, 200, 140, 206)(136, 202, 146, 212)(137, 203, 149, 215)(138, 204, 144, 210)(139, 205, 154, 220)(141, 207, 160, 226)(142, 208, 158, 224)(143, 209, 161, 227)(145, 211, 155, 221)(147, 213, 165, 231)(148, 214, 163, 229)(150, 216, 164, 230)(151, 217, 157, 223)(152, 218, 159, 225)(153, 219, 170, 236)(156, 222, 172, 238)(162, 228, 173, 239)(166, 232, 175, 241)(167, 233, 176, 242)(168, 234, 177, 243)(169, 235, 182, 248)(171, 237, 184, 250)(174, 240, 185, 251)(178, 244, 188, 254)(179, 245, 189, 255)(180, 246, 187, 253)(181, 247, 193, 259)(183, 249, 194, 260)(186, 252, 195, 261)(190, 256, 198, 264)(191, 257, 196, 262)(192, 258, 197, 263)
	L = (1, 136)(2, 141)(3, 144)(4, 147)(5, 148)(6, 133)(7, 155)(8, 158)(9, 161)(10, 134)(11, 160)(12, 159)(13, 154)(14, 135)(15, 166)(16, 167)(17, 157)(18, 168)(19, 137)(20, 138)(21, 152)(22, 172)(23, 151)(24, 139)(25, 145)(26, 173)(27, 170)(28, 140)(29, 150)(30, 142)(31, 149)(32, 143)(33, 146)(34, 178)(35, 179)(36, 180)(37, 162)(38, 184)(39, 153)(40, 185)(41, 182)(42, 156)(43, 165)(44, 163)(45, 164)(46, 190)(47, 191)(48, 192)(49, 174)(50, 194)(51, 169)(52, 195)(53, 193)(54, 171)(55, 177)(56, 175)(57, 176)(58, 186)(59, 181)(60, 183)(61, 196)(62, 197)(63, 198)(64, 189)(65, 187)(66, 188)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 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 E22.1190
Graph:: bipartite
	v = 35 e = 132 f = 55
	degree seq :: [ 4^33, 66^2 ]

E22.1192 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 33})
Quotient :: halfedge^2
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3, Y1^3 * Y2 * Y1^-2 * Y3 * Y2 * Y1^-4 * Y3, Y1^33 ]
Map:: non-degenerate
	R = (1, 68, 2, 72, 6, 80, 14, 92, 26, 108, 42, 120, 54, 130, 64, 118, 52, 106, 40, 100, 34, 86, 20, 76, 10, 83, 17, 95, 29, 111, 45, 123, 57, 128, 62, 116, 50, 104, 38, 89, 23, 78, 12, 84, 18, 96, 30, 102, 36, 113, 47, 125, 59, 131, 65, 119, 53, 107, 41, 91, 25, 79, 13, 71, 5, 67)(3, 75, 9, 85, 19, 99, 33, 114, 48, 126, 60, 132, 66, 122, 56, 110, 44, 94, 28, 82, 16, 74, 8, 70, 4, 77, 11, 88, 22, 103, 37, 115, 49, 127, 61, 124, 58, 112, 46, 97, 31, 87, 21, 101, 35, 98, 32, 90, 24, 105, 39, 117, 51, 129, 63, 121, 55, 109, 43, 93, 27, 81, 15, 73, 7, 69)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 27)(16, 30)(17, 31)(20, 35)(22, 38)(24, 40)(25, 33)(26, 43)(28, 36)(29, 46)(32, 34)(37, 50)(39, 52)(41, 48)(42, 55)(44, 47)(45, 58)(49, 62)(51, 64)(53, 60)(54, 63)(56, 59)(57, 61)(65, 66)(67, 70)(68, 74)(69, 76)(71, 77)(72, 82)(73, 83)(75, 86)(78, 90)(79, 88)(80, 94)(81, 95)(84, 98)(85, 100)(87, 102)(89, 105)(91, 103)(92, 110)(93, 111)(96, 101)(97, 113)(99, 106)(104, 117)(107, 115)(108, 122)(109, 123)(112, 125)(114, 118)(116, 129)(119, 127)(120, 132)(121, 128)(124, 131)(126, 130)
	local type(s) :: { ( 6^66 ) }
Outer automorphisms :: reflexible
Dual of E22.1193
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 66 f = 22
	degree seq :: [ 66^2 ]

E22.1193 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 33})
Quotient :: halfedge^2
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, (Y3 * Y2)^11, (Y2 * Y1 * Y3)^33 ]
Map:: non-degenerate
	R = (1, 68, 2, 71, 5, 67)(3, 74, 8, 72, 6, 69)(4, 76, 10, 73, 7, 70)(9, 78, 12, 80, 14, 75)(11, 79, 13, 82, 16, 77)(15, 86, 20, 84, 18, 81)(17, 88, 22, 85, 19, 83)(21, 90, 24, 92, 26, 87)(23, 91, 25, 94, 28, 89)(27, 98, 32, 96, 30, 93)(29, 100, 34, 97, 31, 95)(33, 102, 36, 104, 38, 99)(35, 103, 37, 106, 40, 101)(39, 110, 44, 108, 42, 105)(41, 112, 46, 109, 43, 107)(45, 114, 48, 116, 50, 111)(47, 115, 49, 118, 52, 113)(51, 122, 56, 120, 54, 117)(53, 124, 58, 121, 55, 119)(57, 126, 60, 128, 62, 123)(59, 127, 61, 130, 64, 125)(63, 132, 66, 131, 65, 129)
	L = (1, 3)(2, 6)(4, 11)(5, 8)(7, 13)(9, 15)(10, 16)(12, 18)(14, 20)(17, 23)(19, 25)(21, 27)(22, 28)(24, 30)(26, 32)(29, 35)(31, 37)(33, 39)(34, 40)(36, 42)(38, 44)(41, 47)(43, 49)(45, 51)(46, 52)(48, 54)(50, 56)(53, 59)(55, 61)(57, 63)(58, 64)(60, 65)(62, 66)(67, 70)(68, 73)(69, 75)(71, 76)(72, 78)(74, 80)(77, 83)(79, 85)(81, 87)(82, 88)(84, 90)(86, 92)(89, 95)(91, 97)(93, 99)(94, 100)(96, 102)(98, 104)(101, 107)(103, 109)(105, 111)(106, 112)(108, 114)(110, 116)(113, 119)(115, 121)(117, 123)(118, 124)(120, 126)(122, 128)(125, 129)(127, 131)(130, 132)
	local type(s) :: { ( 66^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1192
Transitivity :: VT+ AT
Graph:: bipartite
	v = 22 e = 66 f = 2
	degree seq :: [ 6^22 ]

E22.1194 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 33})
Quotient :: edge^2
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, (Y2 * Y1)^11, Y3 * Y1 * 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 * 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 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 67, 4, 70, 5, 71)(2, 68, 7, 73, 8, 74)(3, 69, 10, 76, 11, 77)(6, 72, 13, 79, 14, 80)(9, 75, 16, 82, 17, 83)(12, 78, 19, 85, 20, 86)(15, 81, 22, 88, 23, 89)(18, 84, 25, 91, 26, 92)(21, 87, 28, 94, 29, 95)(24, 90, 31, 97, 32, 98)(27, 93, 34, 100, 35, 101)(30, 96, 37, 103, 38, 104)(33, 99, 40, 106, 41, 107)(36, 102, 43, 109, 44, 110)(39, 105, 46, 112, 47, 113)(42, 108, 49, 115, 50, 116)(45, 111, 52, 118, 53, 119)(48, 114, 55, 121, 56, 122)(51, 117, 58, 124, 59, 125)(54, 120, 61, 127, 62, 128)(57, 123, 63, 129, 64, 130)(60, 126, 65, 131, 66, 132)(133, 134)(135, 141)(136, 140)(137, 139)(138, 144)(142, 149)(143, 148)(145, 152)(146, 151)(147, 153)(150, 156)(154, 161)(155, 160)(157, 164)(158, 163)(159, 165)(162, 168)(166, 173)(167, 172)(169, 176)(170, 175)(171, 177)(174, 180)(178, 185)(179, 184)(181, 188)(182, 187)(183, 189)(186, 192)(190, 196)(191, 195)(193, 198)(194, 197)(199, 201)(200, 204)(202, 209)(203, 208)(205, 212)(206, 211)(207, 213)(210, 216)(214, 221)(215, 220)(217, 224)(218, 223)(219, 225)(222, 228)(226, 233)(227, 232)(229, 236)(230, 235)(231, 237)(234, 240)(238, 245)(239, 244)(241, 248)(242, 247)(243, 249)(246, 252)(250, 257)(251, 256)(253, 260)(254, 259)(255, 258)(261, 264)(262, 263)
	L = (1, 133)(2, 134)(3, 135)(4, 136)(5, 137)(6, 138)(7, 139)(8, 140)(9, 141)(10, 142)(11, 143)(12, 144)(13, 145)(14, 146)(15, 147)(16, 148)(17, 149)(18, 150)(19, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 156)(25, 157)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 183)(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, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 132, 132 ), ( 132^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1197
Graph:: simple bipartite
	v = 88 e = 132 f = 2
	degree seq :: [ 2^66, 6^22 ]

E22.1195 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 33})
Quotient :: edge^2
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (Y3 * Y1 * Y2)^3, Y1 * Y3^9 * Y2 * Y1 * Y2, Y3^5 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 67, 4, 70, 12, 78, 24, 90, 40, 106, 52, 118, 64, 130, 54, 120, 42, 108, 26, 92, 37, 103, 21, 87, 9, 75, 20, 86, 36, 102, 49, 115, 61, 127, 56, 122, 44, 110, 30, 96, 16, 82, 6, 72, 15, 81, 29, 95, 33, 99, 47, 113, 59, 125, 65, 131, 53, 119, 41, 107, 25, 91, 13, 79, 5, 71)(2, 68, 7, 73, 17, 83, 31, 97, 45, 111, 57, 123, 60, 126, 48, 114, 35, 101, 19, 85, 34, 100, 28, 94, 14, 80, 27, 93, 43, 109, 55, 121, 63, 129, 51, 117, 39, 105, 23, 89, 11, 77, 3, 69, 10, 76, 22, 88, 38, 104, 50, 116, 62, 128, 66, 132, 58, 124, 46, 112, 32, 98, 18, 84, 8, 74)(133, 134)(135, 141)(136, 140)(137, 139)(138, 146)(142, 153)(143, 152)(144, 150)(145, 149)(147, 160)(148, 159)(151, 165)(154, 169)(155, 168)(156, 164)(157, 163)(158, 170)(161, 166)(162, 175)(167, 179)(171, 181)(172, 178)(173, 177)(174, 182)(176, 187)(180, 191)(183, 193)(184, 190)(185, 189)(186, 194)(188, 195)(192, 197)(196, 198)(199, 201)(200, 204)(202, 209)(203, 208)(205, 214)(206, 213)(207, 217)(210, 221)(211, 220)(212, 224)(215, 228)(216, 227)(218, 233)(219, 232)(222, 237)(223, 236)(225, 240)(226, 235)(229, 242)(230, 231)(234, 246)(238, 249)(239, 248)(241, 252)(243, 254)(244, 245)(247, 258)(250, 261)(251, 260)(253, 262)(255, 259)(256, 257)(263, 264)
	L = (1, 133)(2, 134)(3, 135)(4, 136)(5, 137)(6, 138)(7, 139)(8, 140)(9, 141)(10, 142)(11, 143)(12, 144)(13, 145)(14, 146)(15, 147)(16, 148)(17, 149)(18, 150)(19, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 156)(25, 157)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 183)(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, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 12, 12 ), ( 12^66 ) }
Outer automorphisms :: reflexible
Dual of E22.1196
Graph:: simple bipartite
	v = 68 e = 132 f = 22
	degree seq :: [ 2^66, 66^2 ]

E22.1196 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 33})
Quotient :: loop^2
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, (Y2 * Y1)^11, Y3 * Y1 * 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 * 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 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 67, 133, 199, 4, 70, 136, 202, 5, 71, 137, 203)(2, 68, 134, 200, 7, 73, 139, 205, 8, 74, 140, 206)(3, 69, 135, 201, 10, 76, 142, 208, 11, 77, 143, 209)(6, 72, 138, 204, 13, 79, 145, 211, 14, 80, 146, 212)(9, 75, 141, 207, 16, 82, 148, 214, 17, 83, 149, 215)(12, 78, 144, 210, 19, 85, 151, 217, 20, 86, 152, 218)(15, 81, 147, 213, 22, 88, 154, 220, 23, 89, 155, 221)(18, 84, 150, 216, 25, 91, 157, 223, 26, 92, 158, 224)(21, 87, 153, 219, 28, 94, 160, 226, 29, 95, 161, 227)(24, 90, 156, 222, 31, 97, 163, 229, 32, 98, 164, 230)(27, 93, 159, 225, 34, 100, 166, 232, 35, 101, 167, 233)(30, 96, 162, 228, 37, 103, 169, 235, 38, 104, 170, 236)(33, 99, 165, 231, 40, 106, 172, 238, 41, 107, 173, 239)(36, 102, 168, 234, 43, 109, 175, 241, 44, 110, 176, 242)(39, 105, 171, 237, 46, 112, 178, 244, 47, 113, 179, 245)(42, 108, 174, 240, 49, 115, 181, 247, 50, 116, 182, 248)(45, 111, 177, 243, 52, 118, 184, 250, 53, 119, 185, 251)(48, 114, 180, 246, 55, 121, 187, 253, 56, 122, 188, 254)(51, 117, 183, 249, 58, 124, 190, 256, 59, 125, 191, 257)(54, 120, 186, 252, 61, 127, 193, 259, 62, 128, 194, 260)(57, 123, 189, 255, 63, 129, 195, 261, 64, 130, 196, 262)(60, 126, 192, 258, 65, 131, 197, 263, 66, 132, 198, 264)
	L = (1, 68)(2, 67)(3, 75)(4, 74)(5, 73)(6, 78)(7, 71)(8, 70)(9, 69)(10, 83)(11, 82)(12, 72)(13, 86)(14, 85)(15, 87)(16, 77)(17, 76)(18, 90)(19, 80)(20, 79)(21, 81)(22, 95)(23, 94)(24, 84)(25, 98)(26, 97)(27, 99)(28, 89)(29, 88)(30, 102)(31, 92)(32, 91)(33, 93)(34, 107)(35, 106)(36, 96)(37, 110)(38, 109)(39, 111)(40, 101)(41, 100)(42, 114)(43, 104)(44, 103)(45, 105)(46, 119)(47, 118)(48, 108)(49, 122)(50, 121)(51, 123)(52, 113)(53, 112)(54, 126)(55, 116)(56, 115)(57, 117)(58, 130)(59, 129)(60, 120)(61, 132)(62, 131)(63, 125)(64, 124)(65, 128)(66, 127)(133, 201)(134, 204)(135, 199)(136, 209)(137, 208)(138, 200)(139, 212)(140, 211)(141, 213)(142, 203)(143, 202)(144, 216)(145, 206)(146, 205)(147, 207)(148, 221)(149, 220)(150, 210)(151, 224)(152, 223)(153, 225)(154, 215)(155, 214)(156, 228)(157, 218)(158, 217)(159, 219)(160, 233)(161, 232)(162, 222)(163, 236)(164, 235)(165, 237)(166, 227)(167, 226)(168, 240)(169, 230)(170, 229)(171, 231)(172, 245)(173, 244)(174, 234)(175, 248)(176, 247)(177, 249)(178, 239)(179, 238)(180, 252)(181, 242)(182, 241)(183, 243)(184, 257)(185, 256)(186, 246)(187, 260)(188, 259)(189, 258)(190, 251)(191, 250)(192, 255)(193, 254)(194, 253)(195, 264)(196, 263)(197, 262)(198, 261)
	local type(s) :: { ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1195
Transitivity :: VT+
Graph:: bipartite
	v = 22 e = 132 f = 68
	degree seq :: [ 12^22 ]

E22.1197 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 33})
Quotient :: loop^2
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1)^2, (Y3 * Y1 * Y2)^3, Y1 * Y3^9 * Y2 * Y1 * Y2, Y3^5 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 67, 133, 199, 4, 70, 136, 202, 12, 78, 144, 210, 24, 90, 156, 222, 40, 106, 172, 238, 52, 118, 184, 250, 64, 130, 196, 262, 54, 120, 186, 252, 42, 108, 174, 240, 26, 92, 158, 224, 37, 103, 169, 235, 21, 87, 153, 219, 9, 75, 141, 207, 20, 86, 152, 218, 36, 102, 168, 234, 49, 115, 181, 247, 61, 127, 193, 259, 56, 122, 188, 254, 44, 110, 176, 242, 30, 96, 162, 228, 16, 82, 148, 214, 6, 72, 138, 204, 15, 81, 147, 213, 29, 95, 161, 227, 33, 99, 165, 231, 47, 113, 179, 245, 59, 125, 191, 257, 65, 131, 197, 263, 53, 119, 185, 251, 41, 107, 173, 239, 25, 91, 157, 223, 13, 79, 145, 211, 5, 71, 137, 203)(2, 68, 134, 200, 7, 73, 139, 205, 17, 83, 149, 215, 31, 97, 163, 229, 45, 111, 177, 243, 57, 123, 189, 255, 60, 126, 192, 258, 48, 114, 180, 246, 35, 101, 167, 233, 19, 85, 151, 217, 34, 100, 166, 232, 28, 94, 160, 226, 14, 80, 146, 212, 27, 93, 159, 225, 43, 109, 175, 241, 55, 121, 187, 253, 63, 129, 195, 261, 51, 117, 183, 249, 39, 105, 171, 237, 23, 89, 155, 221, 11, 77, 143, 209, 3, 69, 135, 201, 10, 76, 142, 208, 22, 88, 154, 220, 38, 104, 170, 236, 50, 116, 182, 248, 62, 128, 194, 260, 66, 132, 198, 264, 58, 124, 190, 256, 46, 112, 178, 244, 32, 98, 164, 230, 18, 84, 150, 216, 8, 74, 140, 206)
	L = (1, 68)(2, 67)(3, 75)(4, 74)(5, 73)(6, 80)(7, 71)(8, 70)(9, 69)(10, 87)(11, 86)(12, 84)(13, 83)(14, 72)(15, 94)(16, 93)(17, 79)(18, 78)(19, 99)(20, 77)(21, 76)(22, 103)(23, 102)(24, 98)(25, 97)(26, 104)(27, 82)(28, 81)(29, 100)(30, 109)(31, 91)(32, 90)(33, 85)(34, 95)(35, 113)(36, 89)(37, 88)(38, 92)(39, 115)(40, 112)(41, 111)(42, 116)(43, 96)(44, 121)(45, 107)(46, 106)(47, 101)(48, 125)(49, 105)(50, 108)(51, 127)(52, 124)(53, 123)(54, 128)(55, 110)(56, 129)(57, 119)(58, 118)(59, 114)(60, 131)(61, 117)(62, 120)(63, 122)(64, 132)(65, 126)(66, 130)(133, 201)(134, 204)(135, 199)(136, 209)(137, 208)(138, 200)(139, 214)(140, 213)(141, 217)(142, 203)(143, 202)(144, 221)(145, 220)(146, 224)(147, 206)(148, 205)(149, 228)(150, 227)(151, 207)(152, 233)(153, 232)(154, 211)(155, 210)(156, 237)(157, 236)(158, 212)(159, 240)(160, 235)(161, 216)(162, 215)(163, 242)(164, 231)(165, 230)(166, 219)(167, 218)(168, 246)(169, 226)(170, 223)(171, 222)(172, 249)(173, 248)(174, 225)(175, 252)(176, 229)(177, 254)(178, 245)(179, 244)(180, 234)(181, 258)(182, 239)(183, 238)(184, 261)(185, 260)(186, 241)(187, 262)(188, 243)(189, 259)(190, 257)(191, 256)(192, 247)(193, 255)(194, 251)(195, 250)(196, 253)(197, 264)(198, 263)
	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, 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 E22.1194
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 132 f = 88
	degree seq :: [ 132^2 ]

E22.1198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 33})
Quotient :: dipole
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2 * Y1)^2, Y3^11 ]
Map:: non-degenerate
	R = (1, 67, 2, 68)(3, 69, 9, 75)(4, 70, 10, 76)(5, 71, 7, 73)(6, 72, 8, 74)(11, 77, 21, 87)(12, 78, 20, 86)(13, 79, 22, 88)(14, 80, 18, 84)(15, 81, 17, 83)(16, 82, 19, 85)(23, 89, 33, 99)(24, 90, 32, 98)(25, 91, 34, 100)(26, 92, 30, 96)(27, 93, 29, 95)(28, 94, 31, 97)(35, 101, 45, 111)(36, 102, 44, 110)(37, 103, 46, 112)(38, 104, 42, 108)(39, 105, 41, 107)(40, 106, 43, 109)(47, 113, 57, 123)(48, 114, 56, 122)(49, 115, 58, 124)(50, 116, 54, 120)(51, 117, 53, 119)(52, 118, 55, 121)(59, 125, 66, 132)(60, 126, 65, 131)(61, 127, 64, 130)(62, 128, 63, 129)(133, 199, 135, 201, 137, 203)(134, 200, 139, 205, 141, 207)(136, 202, 143, 209, 146, 212)(138, 204, 144, 210, 147, 213)(140, 206, 149, 215, 152, 218)(142, 208, 150, 216, 153, 219)(145, 211, 155, 221, 158, 224)(148, 214, 156, 222, 159, 225)(151, 217, 161, 227, 164, 230)(154, 220, 162, 228, 165, 231)(157, 223, 167, 233, 170, 236)(160, 226, 168, 234, 171, 237)(163, 229, 173, 239, 176, 242)(166, 232, 174, 240, 177, 243)(169, 235, 179, 245, 182, 248)(172, 238, 180, 246, 183, 249)(175, 241, 185, 251, 188, 254)(178, 244, 186, 252, 189, 255)(181, 247, 191, 257, 193, 259)(184, 250, 192, 258, 194, 260)(187, 253, 195, 261, 197, 263)(190, 256, 196, 262, 198, 264)
	L = (1, 136)(2, 140)(3, 143)(4, 145)(5, 146)(6, 133)(7, 149)(8, 151)(9, 152)(10, 134)(11, 155)(12, 135)(13, 157)(14, 158)(15, 137)(16, 138)(17, 161)(18, 139)(19, 163)(20, 164)(21, 141)(22, 142)(23, 167)(24, 144)(25, 169)(26, 170)(27, 147)(28, 148)(29, 173)(30, 150)(31, 175)(32, 176)(33, 153)(34, 154)(35, 179)(36, 156)(37, 181)(38, 182)(39, 159)(40, 160)(41, 185)(42, 162)(43, 187)(44, 188)(45, 165)(46, 166)(47, 191)(48, 168)(49, 184)(50, 193)(51, 171)(52, 172)(53, 195)(54, 174)(55, 190)(56, 197)(57, 177)(58, 178)(59, 192)(60, 180)(61, 194)(62, 183)(63, 196)(64, 186)(65, 198)(66, 189)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 66, 4, 66 ), ( 4, 66, 4, 66, 4, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1200
Graph:: simple bipartite
	v = 55 e = 132 f = 35
	degree seq :: [ 4^33, 6^22 ]

E22.1199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 33})
Quotient :: dipole
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2 * Y1)^2, Y3^11 * 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 * Y3^2 ]
Map:: non-degenerate
	R = (1, 67, 2, 68)(3, 69, 9, 75)(4, 70, 10, 76)(5, 71, 7, 73)(6, 72, 8, 74)(11, 77, 21, 87)(12, 78, 20, 86)(13, 79, 22, 88)(14, 80, 18, 84)(15, 81, 17, 83)(16, 82, 19, 85)(23, 89, 33, 99)(24, 90, 32, 98)(25, 91, 34, 100)(26, 92, 30, 96)(27, 93, 29, 95)(28, 94, 31, 97)(35, 101, 45, 111)(36, 102, 44, 110)(37, 103, 46, 112)(38, 104, 42, 108)(39, 105, 41, 107)(40, 106, 43, 109)(47, 113, 57, 123)(48, 114, 56, 122)(49, 115, 58, 124)(50, 116, 54, 120)(51, 117, 53, 119)(52, 118, 55, 121)(59, 125, 66, 132)(60, 126, 65, 131)(61, 127, 64, 130)(62, 128, 63, 129)(133, 199, 135, 201, 137, 203)(134, 200, 139, 205, 141, 207)(136, 202, 143, 209, 146, 212)(138, 204, 144, 210, 147, 213)(140, 206, 149, 215, 152, 218)(142, 208, 150, 216, 153, 219)(145, 211, 155, 221, 158, 224)(148, 214, 156, 222, 159, 225)(151, 217, 161, 227, 164, 230)(154, 220, 162, 228, 165, 231)(157, 223, 167, 233, 170, 236)(160, 226, 168, 234, 171, 237)(163, 229, 173, 239, 176, 242)(166, 232, 174, 240, 177, 243)(169, 235, 179, 245, 182, 248)(172, 238, 180, 246, 183, 249)(175, 241, 185, 251, 188, 254)(178, 244, 186, 252, 189, 255)(181, 247, 191, 257, 193, 259)(184, 250, 192, 258, 194, 260)(187, 253, 195, 261, 197, 263)(190, 256, 196, 262, 198, 264)
	L = (1, 136)(2, 140)(3, 143)(4, 145)(5, 146)(6, 133)(7, 149)(8, 151)(9, 152)(10, 134)(11, 155)(12, 135)(13, 157)(14, 158)(15, 137)(16, 138)(17, 161)(18, 139)(19, 163)(20, 164)(21, 141)(22, 142)(23, 167)(24, 144)(25, 169)(26, 170)(27, 147)(28, 148)(29, 173)(30, 150)(31, 175)(32, 176)(33, 153)(34, 154)(35, 179)(36, 156)(37, 181)(38, 182)(39, 159)(40, 160)(41, 185)(42, 162)(43, 187)(44, 188)(45, 165)(46, 166)(47, 191)(48, 168)(49, 192)(50, 193)(51, 171)(52, 172)(53, 195)(54, 174)(55, 196)(56, 197)(57, 177)(58, 178)(59, 194)(60, 180)(61, 184)(62, 183)(63, 198)(64, 186)(65, 190)(66, 189)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 66, 4, 66 ), ( 4, 66, 4, 66, 4, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1201
Graph:: simple bipartite
	v = 55 e = 132 f = 35
	degree seq :: [ 4^33, 6^22 ]

E22.1200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 33})
Quotient :: dipole
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3), (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y3^3 * Y1^3, (R * Y2 * Y3^-1)^2, Y1^5 * Y3^-1 * Y1 * Y3^-4, Y1^-15 * Y3^-4, Y3^22 ]
Map:: non-degenerate
	R = (1, 67, 2, 68, 7, 73, 19, 85, 35, 101, 49, 115, 58, 124, 48, 114, 33, 99, 14, 80, 25, 91, 17, 83, 6, 72, 10, 76, 22, 88, 37, 103, 51, 117, 59, 125, 46, 112, 34, 100, 15, 81, 4, 70, 9, 75, 21, 87, 18, 84, 26, 92, 40, 106, 53, 119, 60, 126, 47, 113, 32, 98, 16, 82, 5, 71)(3, 69, 11, 77, 27, 93, 43, 109, 55, 121, 64, 130, 63, 129, 54, 120, 41, 107, 30, 96, 39, 105, 24, 90, 13, 79, 29, 95, 44, 110, 56, 122, 65, 131, 62, 128, 52, 118, 38, 104, 23, 89, 12, 78, 28, 94, 42, 108, 31, 97, 45, 111, 57, 123, 66, 132, 61, 127, 50, 116, 36, 102, 20, 86, 8, 74)(133, 199, 135, 201)(134, 200, 140, 206)(136, 202, 145, 211)(137, 203, 143, 209)(138, 204, 144, 210)(139, 205, 152, 218)(141, 207, 156, 222)(142, 208, 155, 221)(146, 212, 163, 229)(147, 213, 161, 227)(148, 214, 159, 225)(149, 215, 160, 226)(150, 216, 162, 228)(151, 217, 168, 234)(153, 219, 171, 237)(154, 220, 170, 236)(157, 223, 174, 240)(158, 224, 173, 239)(164, 230, 175, 241)(165, 231, 177, 243)(166, 232, 176, 242)(167, 233, 182, 248)(169, 235, 184, 250)(172, 238, 186, 252)(178, 244, 188, 254)(179, 245, 187, 253)(180, 246, 189, 255)(181, 247, 193, 259)(183, 249, 194, 260)(185, 251, 195, 261)(190, 256, 198, 264)(191, 257, 197, 263)(192, 258, 196, 262)
	L = (1, 136)(2, 141)(3, 144)(4, 146)(5, 147)(6, 133)(7, 153)(8, 155)(9, 157)(10, 134)(11, 160)(12, 162)(13, 135)(14, 164)(15, 165)(16, 166)(17, 137)(18, 138)(19, 150)(20, 170)(21, 149)(22, 139)(23, 173)(24, 140)(25, 148)(26, 142)(27, 174)(28, 171)(29, 143)(30, 168)(31, 145)(32, 178)(33, 179)(34, 180)(35, 158)(36, 184)(37, 151)(38, 186)(39, 152)(40, 154)(41, 182)(42, 156)(43, 163)(44, 159)(45, 161)(46, 190)(47, 191)(48, 192)(49, 172)(50, 194)(51, 167)(52, 195)(53, 169)(54, 193)(55, 177)(56, 175)(57, 176)(58, 185)(59, 181)(60, 183)(61, 197)(62, 196)(63, 198)(64, 189)(65, 187)(66, 188)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 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 E22.1198
Graph:: bipartite
	v = 35 e = 132 f = 55
	degree seq :: [ 4^33, 66^2 ]

E22.1201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 33})
Quotient :: dipole
Aut^+ = D66 (small group id <66, 3>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^8 * Y1^-1 * Y3^2, Y1^6 * Y3^-1 * Y1 * Y3^-3 ]
Map:: non-degenerate
	R = (1, 67, 2, 68, 7, 73, 19, 85, 35, 101, 49, 115, 59, 125, 46, 112, 34, 100, 15, 81, 4, 70, 9, 75, 21, 87, 18, 84, 26, 92, 40, 106, 53, 119, 58, 124, 48, 114, 33, 99, 14, 80, 25, 91, 17, 83, 6, 72, 10, 76, 22, 88, 37, 103, 51, 117, 60, 126, 47, 113, 32, 98, 16, 82, 5, 71)(3, 69, 11, 77, 27, 93, 43, 109, 55, 121, 64, 130, 62, 128, 52, 118, 38, 104, 23, 89, 12, 78, 28, 94, 42, 108, 31, 97, 45, 111, 57, 123, 66, 132, 63, 129, 54, 120, 41, 107, 30, 96, 39, 105, 24, 90, 13, 79, 29, 95, 44, 110, 56, 122, 65, 131, 61, 127, 50, 116, 36, 102, 20, 86, 8, 74)(133, 199, 135, 201)(134, 200, 140, 206)(136, 202, 145, 211)(137, 203, 143, 209)(138, 204, 144, 210)(139, 205, 152, 218)(141, 207, 156, 222)(142, 208, 155, 221)(146, 212, 163, 229)(147, 213, 161, 227)(148, 214, 159, 225)(149, 215, 160, 226)(150, 216, 162, 228)(151, 217, 168, 234)(153, 219, 171, 237)(154, 220, 170, 236)(157, 223, 174, 240)(158, 224, 173, 239)(164, 230, 175, 241)(165, 231, 177, 243)(166, 232, 176, 242)(167, 233, 182, 248)(169, 235, 184, 250)(172, 238, 186, 252)(178, 244, 188, 254)(179, 245, 187, 253)(180, 246, 189, 255)(181, 247, 193, 259)(183, 249, 194, 260)(185, 251, 195, 261)(190, 256, 198, 264)(191, 257, 197, 263)(192, 258, 196, 262)
	L = (1, 136)(2, 141)(3, 144)(4, 146)(5, 147)(6, 133)(7, 153)(8, 155)(9, 157)(10, 134)(11, 160)(12, 162)(13, 135)(14, 164)(15, 165)(16, 166)(17, 137)(18, 138)(19, 150)(20, 170)(21, 149)(22, 139)(23, 173)(24, 140)(25, 148)(26, 142)(27, 174)(28, 171)(29, 143)(30, 168)(31, 145)(32, 178)(33, 179)(34, 180)(35, 158)(36, 184)(37, 151)(38, 186)(39, 152)(40, 154)(41, 182)(42, 156)(43, 163)(44, 159)(45, 161)(46, 190)(47, 191)(48, 192)(49, 172)(50, 194)(51, 167)(52, 195)(53, 169)(54, 193)(55, 177)(56, 175)(57, 176)(58, 183)(59, 185)(60, 181)(61, 196)(62, 198)(63, 197)(64, 189)(65, 187)(66, 188)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4, 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 E22.1199
Graph:: bipartite
	v = 35 e = 132 f = 55
	degree seq :: [ 4^33, 66^2 ]

E22.1202 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 33})
Quotient :: edge
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T1)^2, (F * T2)^2, (T2^-2 * T1^-1)^2, T2^-1 * T1^3 * T2^-1 * T1^-1, T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-4 * T1 * T2^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 66, 55, 43, 31, 19, 12, 21, 33, 45, 57, 64, 52, 40, 28, 15, 5)(2, 7, 20, 32, 44, 56, 59, 47, 35, 23, 9, 16, 14, 27, 39, 51, 63, 60, 48, 36, 24, 13, 4, 11, 26, 38, 50, 62, 58, 46, 34, 22, 8)(67, 68, 72, 82, 78, 70)(69, 75, 83, 79, 87, 74)(71, 77, 84, 73, 85, 80)(76, 90, 95, 88, 99, 89)(81, 93, 96, 92, 97, 86)(91, 100, 107, 101, 111, 102)(94, 98, 108, 105, 109, 104)(103, 113, 119, 114, 123, 112)(106, 116, 120, 110, 121, 117)(115, 126, 131, 124, 130, 125)(118, 129, 127, 128, 132, 122)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 12^6 ), ( 12^33 ) }
Outer automorphisms :: reflexible
Dual of E22.1203
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 66 f = 11
	degree seq :: [ 6^11, 33^2 ]

E22.1203 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 33})
Quotient :: loop
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T2)^2, (F * T1)^2, T1^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^33 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 6, 72, 15, 81, 11, 77, 5, 71)(2, 68, 7, 73, 14, 80, 12, 78, 4, 70, 8, 74)(9, 75, 19, 85, 13, 79, 21, 87, 10, 76, 20, 86)(16, 82, 22, 88, 18, 84, 24, 90, 17, 83, 23, 89)(25, 91, 31, 97, 27, 93, 33, 99, 26, 92, 32, 98)(28, 94, 34, 100, 30, 96, 36, 102, 29, 95, 35, 101)(37, 103, 43, 109, 39, 105, 45, 111, 38, 104, 44, 110)(40, 106, 46, 112, 42, 108, 48, 114, 41, 107, 47, 113)(49, 115, 55, 121, 51, 117, 57, 123, 50, 116, 56, 122)(52, 118, 58, 124, 54, 120, 60, 126, 53, 119, 59, 125)(61, 127, 64, 130, 63, 129, 66, 132, 62, 128, 65, 131)
	L = (1, 68)(2, 72)(3, 75)(4, 67)(5, 76)(6, 80)(7, 82)(8, 83)(9, 81)(10, 69)(11, 70)(12, 84)(13, 71)(14, 77)(15, 79)(16, 78)(17, 73)(18, 74)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 87)(26, 85)(27, 86)(28, 90)(29, 88)(30, 89)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 99)(38, 97)(39, 98)(40, 102)(41, 100)(42, 101)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 111)(50, 109)(51, 110)(52, 114)(53, 112)(54, 113)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 123)(62, 121)(63, 122)(64, 126)(65, 124)(66, 125)
	local type(s) :: { ( 6, 33, 6, 33, 6, 33, 6, 33, 6, 33, 6, 33 ) }
Outer automorphisms :: reflexible
Dual of E22.1202
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 66 f = 13
	degree seq :: [ 12^11 ]

E22.1204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, Y1^6, Y2 * Y1^3 * Y2 * Y1, (Y3^-1 * Y1^-1)^6, Y1^-1 * Y2^-1 * Y1 * Y2^10 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 16, 82, 12, 78, 4, 70)(3, 69, 9, 75, 17, 83, 13, 79, 21, 87, 8, 74)(5, 71, 11, 77, 18, 84, 7, 73, 19, 85, 14, 80)(10, 76, 24, 90, 29, 95, 22, 88, 33, 99, 23, 89)(15, 81, 27, 93, 30, 96, 26, 92, 31, 97, 20, 86)(25, 91, 34, 100, 41, 107, 35, 101, 45, 111, 36, 102)(28, 94, 32, 98, 42, 108, 39, 105, 43, 109, 38, 104)(37, 103, 47, 113, 53, 119, 48, 114, 57, 123, 46, 112)(40, 106, 50, 116, 54, 120, 44, 110, 55, 121, 51, 117)(49, 115, 60, 126, 65, 131, 58, 124, 64, 130, 59, 125)(52, 118, 63, 129, 61, 127, 62, 128, 66, 132, 56, 122)(133, 199, 135, 201, 142, 208, 157, 223, 169, 235, 181, 247, 193, 259, 186, 252, 174, 240, 162, 228, 150, 216, 138, 204, 149, 215, 161, 227, 173, 239, 185, 251, 197, 263, 198, 264, 187, 253, 175, 241, 163, 229, 151, 217, 144, 210, 153, 219, 165, 231, 177, 243, 189, 255, 196, 262, 184, 250, 172, 238, 160, 226, 147, 213, 137, 203)(134, 200, 139, 205, 152, 218, 164, 230, 176, 242, 188, 254, 191, 257, 179, 245, 167, 233, 155, 221, 141, 207, 148, 214, 146, 212, 159, 225, 171, 237, 183, 249, 195, 261, 192, 258, 180, 246, 168, 234, 156, 222, 145, 211, 136, 202, 143, 209, 158, 224, 170, 236, 182, 248, 194, 260, 190, 256, 178, 244, 166, 232, 154, 220, 140, 206)
	L = (1, 135)(2, 139)(3, 142)(4, 143)(5, 133)(6, 149)(7, 152)(8, 134)(9, 148)(10, 157)(11, 158)(12, 153)(13, 136)(14, 159)(15, 137)(16, 146)(17, 161)(18, 138)(19, 144)(20, 164)(21, 165)(22, 140)(23, 141)(24, 145)(25, 169)(26, 170)(27, 171)(28, 147)(29, 173)(30, 150)(31, 151)(32, 176)(33, 177)(34, 154)(35, 155)(36, 156)(37, 181)(38, 182)(39, 183)(40, 160)(41, 185)(42, 162)(43, 163)(44, 188)(45, 189)(46, 166)(47, 167)(48, 168)(49, 193)(50, 194)(51, 195)(52, 172)(53, 197)(54, 174)(55, 175)(56, 191)(57, 196)(58, 178)(59, 179)(60, 180)(61, 186)(62, 190)(63, 192)(64, 184)(65, 198)(66, 187)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1205
Graph:: bipartite
	v = 13 e = 132 f = 77
	degree seq :: [ 12^11, 66^2 ]

E22.1205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 33})
Quotient :: dipole
Aut^+ = C3 x D22 (small group id <66, 2>)
Aut   = S3 x D22 (small group id <132, 5>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^3, (Y2 * Y3^-2)^2, Y2 * Y3^2 * Y2 * Y3 * Y2^2 * Y3, Y3 * Y2^2 * Y3^10, (Y3^-1 * Y1^-1)^33 ]
Map::
	R = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)(133, 199, 134, 200, 138, 204, 148, 214, 145, 211, 136, 202)(135, 201, 141, 207, 149, 215, 140, 206, 153, 219, 143, 209)(137, 203, 146, 212, 150, 216, 144, 210, 152, 218, 139, 205)(142, 208, 156, 222, 161, 227, 155, 221, 165, 231, 154, 220)(147, 213, 158, 224, 162, 228, 151, 217, 163, 229, 159, 225)(157, 223, 166, 232, 173, 239, 168, 234, 177, 243, 167, 233)(160, 226, 164, 230, 174, 240, 171, 237, 175, 241, 170, 236)(169, 235, 179, 245, 185, 251, 178, 244, 189, 255, 180, 246)(172, 238, 183, 249, 186, 252, 182, 248, 187, 253, 176, 242)(181, 247, 192, 258, 196, 262, 191, 257, 198, 264, 190, 256)(184, 250, 194, 260, 197, 263, 188, 254, 193, 259, 195, 261)
	L = (1, 135)(2, 139)(3, 142)(4, 144)(5, 133)(6, 149)(7, 151)(8, 134)(9, 136)(10, 157)(11, 148)(12, 158)(13, 153)(14, 159)(15, 137)(16, 146)(17, 161)(18, 138)(19, 164)(20, 145)(21, 165)(22, 140)(23, 141)(24, 143)(25, 169)(26, 170)(27, 171)(28, 147)(29, 173)(30, 150)(31, 152)(32, 176)(33, 177)(34, 154)(35, 155)(36, 156)(37, 181)(38, 182)(39, 183)(40, 160)(41, 185)(42, 162)(43, 163)(44, 188)(45, 189)(46, 166)(47, 167)(48, 168)(49, 193)(50, 194)(51, 195)(52, 172)(53, 196)(54, 174)(55, 175)(56, 191)(57, 198)(58, 178)(59, 179)(60, 180)(61, 187)(62, 192)(63, 190)(64, 184)(65, 186)(66, 197)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 12, 66 ), ( 12, 66, 12, 66, 12, 66, 12, 66, 12, 66, 12, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1204
Graph:: simple bipartite
	v = 77 e = 132 f = 13
	degree seq :: [ 2^66, 12^11 ]

E22.1206 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 66, 66})
Quotient :: edge
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^22, (T1^-1 * T2^-1)^66 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(67, 68, 70)(69, 72, 75)(71, 73, 76)(74, 78, 81)(77, 79, 82)(80, 84, 87)(83, 85, 88)(86, 90, 93)(89, 91, 94)(92, 96, 99)(95, 97, 100)(98, 102, 105)(101, 103, 106)(104, 108, 111)(107, 109, 112)(110, 114, 117)(113, 115, 118)(116, 120, 123)(119, 121, 124)(122, 126, 129)(125, 127, 130)(128, 132, 131)
	L = (1, 67)(2, 68)(3, 69)(4, 70)(5, 71)(6, 72)(7, 73)(8, 74)(9, 75)(10, 76)(11, 77)(12, 78)(13, 79)(14, 80)(15, 81)(16, 82)(17, 83)(18, 84)(19, 85)(20, 86)(21, 87)(22, 88)(23, 89)(24, 90)(25, 91)(26, 92)(27, 93)(28, 94)(29, 95)(30, 96)(31, 97)(32, 98)(33, 99)(34, 100)(35, 101)(36, 102)(37, 103)(38, 104)(39, 105)(40, 106)(41, 107)(42, 108)(43, 109)(44, 110)(45, 111)(46, 112)(47, 113)(48, 114)(49, 115)(50, 116)(51, 117)(52, 118)(53, 119)(54, 120)(55, 121)(56, 122)(57, 123)(58, 124)(59, 125)(60, 126)(61, 127)(62, 128)(63, 129)(64, 130)(65, 131)(66, 132)
	local type(s) :: { ( 132^3 ), ( 132^66 ) }
Outer automorphisms :: reflexible
Dual of E22.1207
Transitivity :: ET+
Graph:: bipartite
	v = 23 e = 66 f = 1
	degree seq :: [ 3^22, 66 ]

E22.1207 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 66, 66})
Quotient :: loop
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^-1 * T2^22, (T1^-1 * T2^-1)^66 ]
Map:: non-degenerate
	R = (1, 67, 3, 69, 8, 74, 14, 80, 20, 86, 26, 92, 32, 98, 38, 104, 44, 110, 50, 116, 56, 122, 62, 128, 61, 127, 55, 121, 49, 115, 43, 109, 37, 103, 31, 97, 25, 91, 19, 85, 13, 79, 7, 73, 2, 68, 6, 72, 12, 78, 18, 84, 24, 90, 30, 96, 36, 102, 42, 108, 48, 114, 54, 120, 60, 126, 66, 132, 64, 130, 58, 124, 52, 118, 46, 112, 40, 106, 34, 100, 28, 94, 22, 88, 16, 82, 10, 76, 4, 70, 9, 75, 15, 81, 21, 87, 27, 93, 33, 99, 39, 105, 45, 111, 51, 117, 57, 123, 63, 129, 65, 131, 59, 125, 53, 119, 47, 113, 41, 107, 35, 101, 29, 95, 23, 89, 17, 83, 11, 77, 5, 71)
	L = (1, 68)(2, 70)(3, 72)(4, 67)(5, 73)(6, 75)(7, 76)(8, 78)(9, 69)(10, 71)(11, 79)(12, 81)(13, 82)(14, 84)(15, 74)(16, 77)(17, 85)(18, 87)(19, 88)(20, 90)(21, 80)(22, 83)(23, 91)(24, 93)(25, 94)(26, 96)(27, 86)(28, 89)(29, 97)(30, 99)(31, 100)(32, 102)(33, 92)(34, 95)(35, 103)(36, 105)(37, 106)(38, 108)(39, 98)(40, 101)(41, 109)(42, 111)(43, 112)(44, 114)(45, 104)(46, 107)(47, 115)(48, 117)(49, 118)(50, 120)(51, 110)(52, 113)(53, 121)(54, 123)(55, 124)(56, 126)(57, 116)(58, 119)(59, 127)(60, 129)(61, 130)(62, 132)(63, 122)(64, 125)(65, 128)(66, 131)
	local type(s) :: { ( 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66, 3, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1206
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 66 f = 23
	degree seq :: [ 132 ]

E22.1208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 66, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^-22 * Y1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * 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, 67, 2, 68, 4, 70)(3, 69, 6, 72, 9, 75)(5, 71, 7, 73, 10, 76)(8, 74, 12, 78, 15, 81)(11, 77, 13, 79, 16, 82)(14, 80, 18, 84, 21, 87)(17, 83, 19, 85, 22, 88)(20, 86, 24, 90, 27, 93)(23, 89, 25, 91, 28, 94)(26, 92, 30, 96, 33, 99)(29, 95, 31, 97, 34, 100)(32, 98, 36, 102, 39, 105)(35, 101, 37, 103, 40, 106)(38, 104, 42, 108, 45, 111)(41, 107, 43, 109, 46, 112)(44, 110, 48, 114, 51, 117)(47, 113, 49, 115, 52, 118)(50, 116, 54, 120, 57, 123)(53, 119, 55, 121, 58, 124)(56, 122, 60, 126, 63, 129)(59, 125, 61, 127, 64, 130)(62, 128, 66, 132, 65, 131)(133, 199, 135, 201, 140, 206, 146, 212, 152, 218, 158, 224, 164, 230, 170, 236, 176, 242, 182, 248, 188, 254, 194, 260, 193, 259, 187, 253, 181, 247, 175, 241, 169, 235, 163, 229, 157, 223, 151, 217, 145, 211, 139, 205, 134, 200, 138, 204, 144, 210, 150, 216, 156, 222, 162, 228, 168, 234, 174, 240, 180, 246, 186, 252, 192, 258, 198, 264, 196, 262, 190, 256, 184, 250, 178, 244, 172, 238, 166, 232, 160, 226, 154, 220, 148, 214, 142, 208, 136, 202, 141, 207, 147, 213, 153, 219, 159, 225, 165, 231, 171, 237, 177, 243, 183, 249, 189, 255, 195, 261, 197, 263, 191, 257, 185, 251, 179, 245, 173, 239, 167, 233, 161, 227, 155, 221, 149, 215, 143, 209, 137, 203)
	L = (1, 136)(2, 133)(3, 141)(4, 134)(5, 142)(6, 135)(7, 137)(8, 147)(9, 138)(10, 139)(11, 148)(12, 140)(13, 143)(14, 153)(15, 144)(16, 145)(17, 154)(18, 146)(19, 149)(20, 159)(21, 150)(22, 151)(23, 160)(24, 152)(25, 155)(26, 165)(27, 156)(28, 157)(29, 166)(30, 158)(31, 161)(32, 171)(33, 162)(34, 163)(35, 172)(36, 164)(37, 167)(38, 177)(39, 168)(40, 169)(41, 178)(42, 170)(43, 173)(44, 183)(45, 174)(46, 175)(47, 184)(48, 176)(49, 179)(50, 189)(51, 180)(52, 181)(53, 190)(54, 182)(55, 185)(56, 195)(57, 186)(58, 187)(59, 196)(60, 188)(61, 191)(62, 197)(63, 192)(64, 193)(65, 198)(66, 194)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 2, 132, 2, 132, 2, 132 ), ( 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132 ) }
Outer automorphisms :: reflexible
Dual of E22.1209
Graph:: bipartite
	v = 23 e = 132 f = 67
	degree seq :: [ 6^22, 132 ]

E22.1209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 66, 66})
Quotient :: dipole
Aut^+ = C66 (small group id <66, 4>)
Aut   = D132 (small group id <132, 9>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^22, (Y1^-1 * Y3^-1)^66 ]
Map::
	R = (1, 67, 2, 68, 6, 72, 12, 78, 18, 84, 24, 90, 30, 96, 36, 102, 42, 108, 48, 114, 54, 120, 60, 126, 63, 129, 57, 123, 51, 117, 45, 111, 39, 105, 33, 99, 27, 93, 21, 87, 15, 81, 9, 75, 3, 69, 7, 73, 13, 79, 19, 85, 25, 91, 31, 97, 37, 103, 43, 109, 49, 115, 55, 121, 61, 127, 66, 132, 65, 131, 59, 125, 53, 119, 47, 113, 41, 107, 35, 101, 29, 95, 23, 89, 17, 83, 11, 77, 5, 71, 8, 74, 14, 80, 20, 86, 26, 92, 32, 98, 38, 104, 44, 110, 50, 116, 56, 122, 62, 128, 64, 130, 58, 124, 52, 118, 46, 112, 40, 106, 34, 100, 28, 94, 22, 88, 16, 82, 10, 76, 4, 70)(133, 199)(134, 200)(135, 201)(136, 202)(137, 203)(138, 204)(139, 205)(140, 206)(141, 207)(142, 208)(143, 209)(144, 210)(145, 211)(146, 212)(147, 213)(148, 214)(149, 215)(150, 216)(151, 217)(152, 218)(153, 219)(154, 220)(155, 221)(156, 222)(157, 223)(158, 224)(159, 225)(160, 226)(161, 227)(162, 228)(163, 229)(164, 230)(165, 231)(166, 232)(167, 233)(168, 234)(169, 235)(170, 236)(171, 237)(172, 238)(173, 239)(174, 240)(175, 241)(176, 242)(177, 243)(178, 244)(179, 245)(180, 246)(181, 247)(182, 248)(183, 249)(184, 250)(185, 251)(186, 252)(187, 253)(188, 254)(189, 255)(190, 256)(191, 257)(192, 258)(193, 259)(194, 260)(195, 261)(196, 262)(197, 263)(198, 264)
	L = (1, 135)(2, 139)(3, 137)(4, 141)(5, 133)(6, 145)(7, 140)(8, 134)(9, 143)(10, 147)(11, 136)(12, 151)(13, 146)(14, 138)(15, 149)(16, 153)(17, 142)(18, 157)(19, 152)(20, 144)(21, 155)(22, 159)(23, 148)(24, 163)(25, 158)(26, 150)(27, 161)(28, 165)(29, 154)(30, 169)(31, 164)(32, 156)(33, 167)(34, 171)(35, 160)(36, 175)(37, 170)(38, 162)(39, 173)(40, 177)(41, 166)(42, 181)(43, 176)(44, 168)(45, 179)(46, 183)(47, 172)(48, 187)(49, 182)(50, 174)(51, 185)(52, 189)(53, 178)(54, 193)(55, 188)(56, 180)(57, 191)(58, 195)(59, 184)(60, 198)(61, 194)(62, 186)(63, 197)(64, 192)(65, 190)(66, 196)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 6, 132 ), ( 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132, 6, 132 ) }
Outer automorphisms :: reflexible
Dual of E22.1208
Graph:: bipartite
	v = 67 e = 132 f = 23
	degree seq :: [ 2^66, 132 ]

E22.1210 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 23, 69})
Quotient :: edge
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^23 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 68, 69, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(70, 71, 73)(72, 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, 103)(101, 105, 108)(104, 106, 109)(107, 111, 114)(110, 112, 115)(113, 117, 120)(116, 118, 121)(119, 123, 126)(122, 124, 127)(125, 129, 132)(128, 130, 133)(131, 135, 137)(134, 136, 138)
	L = (1, 70)(2, 71)(3, 72)(4, 73)(5, 74)(6, 75)(7, 76)(8, 77)(9, 78)(10, 79)(11, 80)(12, 81)(13, 82)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 89)(21, 90)(22, 91)(23, 92)(24, 93)(25, 94)(26, 95)(27, 96)(28, 97)(29, 98)(30, 99)(31, 100)(32, 101)(33, 102)(34, 103)(35, 104)(36, 105)(37, 106)(38, 107)(39, 108)(40, 109)(41, 110)(42, 111)(43, 112)(44, 113)(45, 114)(46, 115)(47, 116)(48, 117)(49, 118)(50, 119)(51, 120)(52, 121)(53, 122)(54, 123)(55, 124)(56, 125)(57, 126)(58, 127)(59, 128)(60, 129)(61, 130)(62, 131)(63, 132)(64, 133)(65, 134)(66, 135)(67, 136)(68, 137)(69, 138)
	local type(s) :: { ( 138^3 ), ( 138^23 ) }
Outer automorphisms :: reflexible
Dual of E22.1214
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 69 f = 1
	degree seq :: [ 3^23, 23^3 ]

E22.1211 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 23, 69})
Quotient :: edge
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^-3, T2^-21 * T1^2, T1^9 * T2^-2 * T1^7 * T2^-4 * T1, T1^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 25, 31, 37, 43, 49, 55, 61, 67, 64, 60, 53, 46, 42, 35, 28, 24, 16, 6, 15, 12, 4, 10, 20, 26, 32, 38, 44, 50, 56, 62, 68, 65, 58, 54, 47, 40, 36, 29, 22, 18, 8, 2, 7, 17, 11, 21, 27, 33, 39, 45, 51, 57, 63, 69, 66, 59, 52, 48, 41, 34, 30, 23, 14, 13, 5)(70, 71, 75, 83, 91, 97, 103, 109, 115, 121, 127, 133, 138, 131, 124, 120, 113, 106, 102, 95, 88, 80, 73)(72, 76, 84, 82, 87, 93, 99, 105, 111, 117, 123, 129, 135, 137, 130, 126, 119, 112, 108, 101, 94, 90, 79)(74, 77, 85, 92, 98, 104, 110, 116, 122, 128, 134, 136, 132, 125, 118, 114, 107, 100, 96, 89, 78, 86, 81)
	L = (1, 70)(2, 71)(3, 72)(4, 73)(5, 74)(6, 75)(7, 76)(8, 77)(9, 78)(10, 79)(11, 80)(12, 81)(13, 82)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 89)(21, 90)(22, 91)(23, 92)(24, 93)(25, 94)(26, 95)(27, 96)(28, 97)(29, 98)(30, 99)(31, 100)(32, 101)(33, 102)(34, 103)(35, 104)(36, 105)(37, 106)(38, 107)(39, 108)(40, 109)(41, 110)(42, 111)(43, 112)(44, 113)(45, 114)(46, 115)(47, 116)(48, 117)(49, 118)(50, 119)(51, 120)(52, 121)(53, 122)(54, 123)(55, 124)(56, 125)(57, 126)(58, 127)(59, 128)(60, 129)(61, 130)(62, 131)(63, 132)(64, 133)(65, 134)(66, 135)(67, 136)(68, 137)(69, 138)
	local type(s) :: { ( 6^23 ), ( 6^69 ) }
Outer automorphisms :: reflexible
Dual of E22.1215
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 69 f = 23
	degree seq :: [ 23^3, 69 ]

E22.1212 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 23, 69})
Quotient :: edge
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^-23, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 9, 11)(6, 13, 14)(10, 15, 17)(12, 19, 20)(16, 21, 23)(18, 25, 26)(22, 27, 29)(24, 31, 32)(28, 33, 35)(30, 37, 38)(34, 39, 41)(36, 43, 44)(40, 45, 47)(42, 49, 50)(46, 51, 53)(48, 55, 56)(52, 57, 59)(54, 61, 62)(58, 63, 65)(60, 67, 68)(64, 66, 69)(70, 71, 75, 81, 87, 93, 99, 105, 111, 117, 123, 129, 135, 132, 126, 120, 114, 108, 102, 96, 90, 84, 78, 72, 76, 82, 88, 94, 100, 106, 112, 118, 124, 130, 136, 138, 134, 128, 122, 116, 110, 104, 98, 92, 86, 80, 74, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 133, 127, 121, 115, 109, 103, 97, 91, 85, 79, 73)
	L = (1, 70)(2, 71)(3, 72)(4, 73)(5, 74)(6, 75)(7, 76)(8, 77)(9, 78)(10, 79)(11, 80)(12, 81)(13, 82)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 89)(21, 90)(22, 91)(23, 92)(24, 93)(25, 94)(26, 95)(27, 96)(28, 97)(29, 98)(30, 99)(31, 100)(32, 101)(33, 102)(34, 103)(35, 104)(36, 105)(37, 106)(38, 107)(39, 108)(40, 109)(41, 110)(42, 111)(43, 112)(44, 113)(45, 114)(46, 115)(47, 116)(48, 117)(49, 118)(50, 119)(51, 120)(52, 121)(53, 122)(54, 123)(55, 124)(56, 125)(57, 126)(58, 127)(59, 128)(60, 129)(61, 130)(62, 131)(63, 132)(64, 133)(65, 134)(66, 135)(67, 136)(68, 137)(69, 138)
	local type(s) :: { ( 46^3 ), ( 46^69 ) }
Outer automorphisms :: reflexible
Dual of E22.1213
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 69 f = 3
	degree seq :: [ 3^23, 69 ]

E22.1213 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 23, 69})
Quotient :: loop
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^23 ]
Map:: non-degenerate
	R = (1, 70, 3, 72, 8, 77, 14, 83, 20, 89, 26, 95, 32, 101, 38, 107, 44, 113, 50, 119, 56, 125, 62, 131, 65, 134, 59, 128, 53, 122, 47, 116, 41, 110, 35, 104, 29, 98, 23, 92, 17, 86, 11, 80, 5, 74)(2, 71, 6, 75, 12, 81, 18, 87, 24, 93, 30, 99, 36, 105, 42, 111, 48, 117, 54, 123, 60, 129, 66, 135, 67, 136, 61, 130, 55, 124, 49, 118, 43, 112, 37, 106, 31, 100, 25, 94, 19, 88, 13, 82, 7, 76)(4, 73, 9, 78, 15, 84, 21, 90, 27, 96, 33, 102, 39, 108, 45, 114, 51, 120, 57, 126, 63, 132, 68, 137, 69, 138, 64, 133, 58, 127, 52, 121, 46, 115, 40, 109, 34, 103, 28, 97, 22, 91, 16, 85, 10, 79)
	L = (1, 71)(2, 73)(3, 75)(4, 70)(5, 76)(6, 78)(7, 79)(8, 81)(9, 72)(10, 74)(11, 82)(12, 84)(13, 85)(14, 87)(15, 77)(16, 80)(17, 88)(18, 90)(19, 91)(20, 93)(21, 83)(22, 86)(23, 94)(24, 96)(25, 97)(26, 99)(27, 89)(28, 92)(29, 100)(30, 102)(31, 103)(32, 105)(33, 95)(34, 98)(35, 106)(36, 108)(37, 109)(38, 111)(39, 101)(40, 104)(41, 112)(42, 114)(43, 115)(44, 117)(45, 107)(46, 110)(47, 118)(48, 120)(49, 121)(50, 123)(51, 113)(52, 116)(53, 124)(54, 126)(55, 127)(56, 129)(57, 119)(58, 122)(59, 130)(60, 132)(61, 133)(62, 135)(63, 125)(64, 128)(65, 136)(66, 137)(67, 138)(68, 131)(69, 134)
	local type(s) :: { ( 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69, 3, 69 ) }
Outer automorphisms :: reflexible
Dual of E22.1212
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 69 f = 24
	degree seq :: [ 46^3 ]

E22.1214 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 23, 69})
Quotient :: loop
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, (T1, T2^-1), T1^-3 * T2^-3, T2^-21 * T1^2, T1^9 * T2^-2 * T1^7 * T2^-4 * T1, T1^23 ]
Map:: non-degenerate
	R = (1, 70, 3, 72, 9, 78, 19, 88, 25, 94, 31, 100, 37, 106, 43, 112, 49, 118, 55, 124, 61, 130, 67, 136, 64, 133, 60, 129, 53, 122, 46, 115, 42, 111, 35, 104, 28, 97, 24, 93, 16, 85, 6, 75, 15, 84, 12, 81, 4, 73, 10, 79, 20, 89, 26, 95, 32, 101, 38, 107, 44, 113, 50, 119, 56, 125, 62, 131, 68, 137, 65, 134, 58, 127, 54, 123, 47, 116, 40, 109, 36, 105, 29, 98, 22, 91, 18, 87, 8, 77, 2, 71, 7, 76, 17, 86, 11, 80, 21, 90, 27, 96, 33, 102, 39, 108, 45, 114, 51, 120, 57, 126, 63, 132, 69, 138, 66, 135, 59, 128, 52, 121, 48, 117, 41, 110, 34, 103, 30, 99, 23, 92, 14, 83, 13, 82, 5, 74)
	L = (1, 71)(2, 75)(3, 76)(4, 70)(5, 77)(6, 83)(7, 84)(8, 85)(9, 86)(10, 72)(11, 73)(12, 74)(13, 87)(14, 91)(15, 82)(16, 92)(17, 81)(18, 93)(19, 80)(20, 78)(21, 79)(22, 97)(23, 98)(24, 99)(25, 90)(26, 88)(27, 89)(28, 103)(29, 104)(30, 105)(31, 96)(32, 94)(33, 95)(34, 109)(35, 110)(36, 111)(37, 102)(38, 100)(39, 101)(40, 115)(41, 116)(42, 117)(43, 108)(44, 106)(45, 107)(46, 121)(47, 122)(48, 123)(49, 114)(50, 112)(51, 113)(52, 127)(53, 128)(54, 129)(55, 120)(56, 118)(57, 119)(58, 133)(59, 134)(60, 135)(61, 126)(62, 124)(63, 125)(64, 138)(65, 136)(66, 137)(67, 132)(68, 130)(69, 131)
	local type(s) :: { ( 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23, 3, 23 ) }
Outer automorphisms :: reflexible
Dual of E22.1210
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 69 f = 26
	degree seq :: [ 138 ]

E22.1215 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 23, 69})
Quotient :: loop
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2, T1), T2 * T1^-23, (T1^-1 * T2^-1)^23 ]
Map:: non-degenerate
	R = (1, 70, 3, 72, 5, 74)(2, 71, 7, 76, 8, 77)(4, 73, 9, 78, 11, 80)(6, 75, 13, 82, 14, 83)(10, 79, 15, 84, 17, 86)(12, 81, 19, 88, 20, 89)(16, 85, 21, 90, 23, 92)(18, 87, 25, 94, 26, 95)(22, 91, 27, 96, 29, 98)(24, 93, 31, 100, 32, 101)(28, 97, 33, 102, 35, 104)(30, 99, 37, 106, 38, 107)(34, 103, 39, 108, 41, 110)(36, 105, 43, 112, 44, 113)(40, 109, 45, 114, 47, 116)(42, 111, 49, 118, 50, 119)(46, 115, 51, 120, 53, 122)(48, 117, 55, 124, 56, 125)(52, 121, 57, 126, 59, 128)(54, 123, 61, 130, 62, 131)(58, 127, 63, 132, 65, 134)(60, 129, 67, 136, 68, 137)(64, 133, 66, 135, 69, 138)
	L = (1, 71)(2, 75)(3, 76)(4, 70)(5, 77)(6, 81)(7, 82)(8, 83)(9, 72)(10, 73)(11, 74)(12, 87)(13, 88)(14, 89)(15, 78)(16, 79)(17, 80)(18, 93)(19, 94)(20, 95)(21, 84)(22, 85)(23, 86)(24, 99)(25, 100)(26, 101)(27, 90)(28, 91)(29, 92)(30, 105)(31, 106)(32, 107)(33, 96)(34, 97)(35, 98)(36, 111)(37, 112)(38, 113)(39, 102)(40, 103)(41, 104)(42, 117)(43, 118)(44, 119)(45, 108)(46, 109)(47, 110)(48, 123)(49, 124)(50, 125)(51, 114)(52, 115)(53, 116)(54, 129)(55, 130)(56, 131)(57, 120)(58, 121)(59, 122)(60, 135)(61, 136)(62, 137)(63, 126)(64, 127)(65, 128)(66, 132)(67, 138)(68, 133)(69, 134)
	local type(s) :: { ( 23, 69, 23, 69, 23, 69 ) }
Outer automorphisms :: reflexible
Dual of E22.1211
Transitivity :: ET+ VT+ AT
Graph::
	v = 23 e = 69 f = 4
	degree seq :: [ 6^23 ]

E22.1216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 23, 69})
Quotient :: dipole
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y2^23, Y3^69 ]
Map::
	R = (1, 70, 2, 71, 4, 73)(3, 72, 6, 75, 9, 78)(5, 74, 7, 76, 10, 79)(8, 77, 12, 81, 15, 84)(11, 80, 13, 82, 16, 85)(14, 83, 18, 87, 21, 90)(17, 86, 19, 88, 22, 91)(20, 89, 24, 93, 27, 96)(23, 92, 25, 94, 28, 97)(26, 95, 30, 99, 33, 102)(29, 98, 31, 100, 34, 103)(32, 101, 36, 105, 39, 108)(35, 104, 37, 106, 40, 109)(38, 107, 42, 111, 45, 114)(41, 110, 43, 112, 46, 115)(44, 113, 48, 117, 51, 120)(47, 116, 49, 118, 52, 121)(50, 119, 54, 123, 57, 126)(53, 122, 55, 124, 58, 127)(56, 125, 60, 129, 63, 132)(59, 128, 61, 130, 64, 133)(62, 131, 66, 135, 68, 137)(65, 134, 67, 136, 69, 138)(139, 208, 141, 210, 146, 215, 152, 221, 158, 227, 164, 233, 170, 239, 176, 245, 182, 251, 188, 257, 194, 263, 200, 269, 203, 272, 197, 266, 191, 260, 185, 254, 179, 248, 173, 242, 167, 236, 161, 230, 155, 224, 149, 218, 143, 212)(140, 209, 144, 213, 150, 219, 156, 225, 162, 231, 168, 237, 174, 243, 180, 249, 186, 255, 192, 261, 198, 267, 204, 273, 205, 274, 199, 268, 193, 262, 187, 256, 181, 250, 175, 244, 169, 238, 163, 232, 157, 226, 151, 220, 145, 214)(142, 211, 147, 216, 153, 222, 159, 228, 165, 234, 171, 240, 177, 246, 183, 252, 189, 258, 195, 264, 201, 270, 206, 275, 207, 276, 202, 271, 196, 265, 190, 259, 184, 253, 178, 247, 172, 241, 166, 235, 160, 229, 154, 223, 148, 217)
	L = (1, 142)(2, 139)(3, 147)(4, 140)(5, 148)(6, 141)(7, 143)(8, 153)(9, 144)(10, 145)(11, 154)(12, 146)(13, 149)(14, 159)(15, 150)(16, 151)(17, 160)(18, 152)(19, 155)(20, 165)(21, 156)(22, 157)(23, 166)(24, 158)(25, 161)(26, 171)(27, 162)(28, 163)(29, 172)(30, 164)(31, 167)(32, 177)(33, 168)(34, 169)(35, 178)(36, 170)(37, 173)(38, 183)(39, 174)(40, 175)(41, 184)(42, 176)(43, 179)(44, 189)(45, 180)(46, 181)(47, 190)(48, 182)(49, 185)(50, 195)(51, 186)(52, 187)(53, 196)(54, 188)(55, 191)(56, 201)(57, 192)(58, 193)(59, 202)(60, 194)(61, 197)(62, 206)(63, 198)(64, 199)(65, 207)(66, 200)(67, 203)(68, 204)(69, 205)(70, 208)(71, 209)(72, 210)(73, 211)(74, 212)(75, 213)(76, 214)(77, 215)(78, 216)(79, 217)(80, 218)(81, 219)(82, 220)(83, 221)(84, 222)(85, 223)(86, 224)(87, 225)(88, 226)(89, 227)(90, 228)(91, 229)(92, 230)(93, 231)(94, 232)(95, 233)(96, 234)(97, 235)(98, 236)(99, 237)(100, 238)(101, 239)(102, 240)(103, 241)(104, 242)(105, 243)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 258)(121, 259)(122, 260)(123, 261)(124, 262)(125, 263)(126, 264)(127, 265)(128, 266)(129, 267)(130, 268)(131, 269)(132, 270)(133, 271)(134, 272)(135, 273)(136, 274)(137, 275)(138, 276)
	local type(s) :: { ( 2, 138, 2, 138, 2, 138 ), ( 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138, 2, 138 ) }
Outer automorphisms :: reflexible
Dual of E22.1219
Graph:: bipartite
	v = 26 e = 138 f = 70
	degree seq :: [ 6^23, 46^3 ]

E22.1217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 23, 69})
Quotient :: dipole
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^3, Y1^9 * Y2^9, Y1^9 * Y2^-1 * Y1 * Y2^-11 * Y1, Y1^23, Y2^-33 * Y1^-10 ]
Map::
	R = (1, 70, 2, 71, 6, 75, 14, 83, 22, 91, 28, 97, 34, 103, 40, 109, 46, 115, 52, 121, 58, 127, 64, 133, 69, 138, 62, 131, 55, 124, 51, 120, 44, 113, 37, 106, 33, 102, 26, 95, 19, 88, 11, 80, 4, 73)(3, 72, 7, 76, 15, 84, 13, 82, 18, 87, 24, 93, 30, 99, 36, 105, 42, 111, 48, 117, 54, 123, 60, 129, 66, 135, 68, 137, 61, 130, 57, 126, 50, 119, 43, 112, 39, 108, 32, 101, 25, 94, 21, 90, 10, 79)(5, 74, 8, 77, 16, 85, 23, 92, 29, 98, 35, 104, 41, 110, 47, 116, 53, 122, 59, 128, 65, 134, 67, 136, 63, 132, 56, 125, 49, 118, 45, 114, 38, 107, 31, 100, 27, 96, 20, 89, 9, 78, 17, 86, 12, 81)(139, 208, 141, 210, 147, 216, 157, 226, 163, 232, 169, 238, 175, 244, 181, 250, 187, 256, 193, 262, 199, 268, 205, 274, 202, 271, 198, 267, 191, 260, 184, 253, 180, 249, 173, 242, 166, 235, 162, 231, 154, 223, 144, 213, 153, 222, 150, 219, 142, 211, 148, 217, 158, 227, 164, 233, 170, 239, 176, 245, 182, 251, 188, 257, 194, 263, 200, 269, 206, 275, 203, 272, 196, 265, 192, 261, 185, 254, 178, 247, 174, 243, 167, 236, 160, 229, 156, 225, 146, 215, 140, 209, 145, 214, 155, 224, 149, 218, 159, 228, 165, 234, 171, 240, 177, 246, 183, 252, 189, 258, 195, 264, 201, 270, 207, 276, 204, 273, 197, 266, 190, 259, 186, 255, 179, 248, 172, 241, 168, 237, 161, 230, 152, 221, 151, 220, 143, 212)
	L = (1, 141)(2, 145)(3, 147)(4, 148)(5, 139)(6, 153)(7, 155)(8, 140)(9, 157)(10, 158)(11, 159)(12, 142)(13, 143)(14, 151)(15, 150)(16, 144)(17, 149)(18, 146)(19, 163)(20, 164)(21, 165)(22, 156)(23, 152)(24, 154)(25, 169)(26, 170)(27, 171)(28, 162)(29, 160)(30, 161)(31, 175)(32, 176)(33, 177)(34, 168)(35, 166)(36, 167)(37, 181)(38, 182)(39, 183)(40, 174)(41, 172)(42, 173)(43, 187)(44, 188)(45, 189)(46, 180)(47, 178)(48, 179)(49, 193)(50, 194)(51, 195)(52, 186)(53, 184)(54, 185)(55, 199)(56, 200)(57, 201)(58, 192)(59, 190)(60, 191)(61, 205)(62, 206)(63, 207)(64, 198)(65, 196)(66, 197)(67, 202)(68, 203)(69, 204)(70, 208)(71, 209)(72, 210)(73, 211)(74, 212)(75, 213)(76, 214)(77, 215)(78, 216)(79, 217)(80, 218)(81, 219)(82, 220)(83, 221)(84, 222)(85, 223)(86, 224)(87, 225)(88, 226)(89, 227)(90, 228)(91, 229)(92, 230)(93, 231)(94, 232)(95, 233)(96, 234)(97, 235)(98, 236)(99, 237)(100, 238)(101, 239)(102, 240)(103, 241)(104, 242)(105, 243)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 258)(121, 259)(122, 260)(123, 261)(124, 262)(125, 263)(126, 264)(127, 265)(128, 266)(129, 267)(130, 268)(131, 269)(132, 270)(133, 271)(134, 272)(135, 273)(136, 274)(137, 275)(138, 276)
	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, 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 E22.1218
Graph:: bipartite
	v = 4 e = 138 f = 92
	degree seq :: [ 46^3, 138 ]

E22.1218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 23, 69})
Quotient :: dipole
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^-23, 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 * Y3^2, (Y3^-1 * Y1^-1)^69 ]
Map::
	R = (1, 70)(2, 71)(3, 72)(4, 73)(5, 74)(6, 75)(7, 76)(8, 77)(9, 78)(10, 79)(11, 80)(12, 81)(13, 82)(14, 83)(15, 84)(16, 85)(17, 86)(18, 87)(19, 88)(20, 89)(21, 90)(22, 91)(23, 92)(24, 93)(25, 94)(26, 95)(27, 96)(28, 97)(29, 98)(30, 99)(31, 100)(32, 101)(33, 102)(34, 103)(35, 104)(36, 105)(37, 106)(38, 107)(39, 108)(40, 109)(41, 110)(42, 111)(43, 112)(44, 113)(45, 114)(46, 115)(47, 116)(48, 117)(49, 118)(50, 119)(51, 120)(52, 121)(53, 122)(54, 123)(55, 124)(56, 125)(57, 126)(58, 127)(59, 128)(60, 129)(61, 130)(62, 131)(63, 132)(64, 133)(65, 134)(66, 135)(67, 136)(68, 137)(69, 138)(139, 208, 140, 209, 142, 211)(141, 210, 144, 213, 147, 216)(143, 212, 145, 214, 148, 217)(146, 215, 150, 219, 153, 222)(149, 218, 151, 220, 154, 223)(152, 221, 156, 225, 159, 228)(155, 224, 157, 226, 160, 229)(158, 227, 162, 231, 165, 234)(161, 230, 163, 232, 166, 235)(164, 233, 168, 237, 171, 240)(167, 236, 169, 238, 172, 241)(170, 239, 174, 243, 177, 246)(173, 242, 175, 244, 178, 247)(176, 245, 180, 249, 183, 252)(179, 248, 181, 250, 184, 253)(182, 251, 186, 255, 189, 258)(185, 254, 187, 256, 190, 259)(188, 257, 192, 261, 195, 264)(191, 260, 193, 262, 196, 265)(194, 263, 198, 267, 201, 270)(197, 266, 199, 268, 202, 271)(200, 269, 204, 273, 207, 276)(203, 272, 205, 274, 206, 275)
	L = (1, 141)(2, 144)(3, 146)(4, 147)(5, 139)(6, 150)(7, 140)(8, 152)(9, 153)(10, 142)(11, 143)(12, 156)(13, 145)(14, 158)(15, 159)(16, 148)(17, 149)(18, 162)(19, 151)(20, 164)(21, 165)(22, 154)(23, 155)(24, 168)(25, 157)(26, 170)(27, 171)(28, 160)(29, 161)(30, 174)(31, 163)(32, 176)(33, 177)(34, 166)(35, 167)(36, 180)(37, 169)(38, 182)(39, 183)(40, 172)(41, 173)(42, 186)(43, 175)(44, 188)(45, 189)(46, 178)(47, 179)(48, 192)(49, 181)(50, 194)(51, 195)(52, 184)(53, 185)(54, 198)(55, 187)(56, 200)(57, 201)(58, 190)(59, 191)(60, 204)(61, 193)(62, 206)(63, 207)(64, 196)(65, 197)(66, 203)(67, 199)(68, 202)(69, 205)(70, 208)(71, 209)(72, 210)(73, 211)(74, 212)(75, 213)(76, 214)(77, 215)(78, 216)(79, 217)(80, 218)(81, 219)(82, 220)(83, 221)(84, 222)(85, 223)(86, 224)(87, 225)(88, 226)(89, 227)(90, 228)(91, 229)(92, 230)(93, 231)(94, 232)(95, 233)(96, 234)(97, 235)(98, 236)(99, 237)(100, 238)(101, 239)(102, 240)(103, 241)(104, 242)(105, 243)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 258)(121, 259)(122, 260)(123, 261)(124, 262)(125, 263)(126, 264)(127, 265)(128, 266)(129, 267)(130, 268)(131, 269)(132, 270)(133, 271)(134, 272)(135, 273)(136, 274)(137, 275)(138, 276)
	local type(s) :: { ( 46, 138 ), ( 46, 138, 46, 138, 46, 138 ) }
Outer automorphisms :: reflexible
Dual of E22.1217
Graph:: simple bipartite
	v = 92 e = 138 f = 4
	degree seq :: [ 2^69, 6^23 ]

E22.1219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 23, 69})
Quotient :: dipole
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 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 * Y1^-23, (Y1^-1 * Y3^-1)^23 ]
Map::
	R = (1, 70, 2, 71, 6, 75, 12, 81, 18, 87, 24, 93, 30, 99, 36, 105, 42, 111, 48, 117, 54, 123, 60, 129, 66, 135, 63, 132, 57, 126, 51, 120, 45, 114, 39, 108, 33, 102, 27, 96, 21, 90, 15, 84, 9, 78, 3, 72, 7, 76, 13, 82, 19, 88, 25, 94, 31, 100, 37, 106, 43, 112, 49, 118, 55, 124, 61, 130, 67, 136, 69, 138, 65, 134, 59, 128, 53, 122, 47, 116, 41, 110, 35, 104, 29, 98, 23, 92, 17, 86, 11, 80, 5, 74, 8, 77, 14, 83, 20, 89, 26, 95, 32, 101, 38, 107, 44, 113, 50, 119, 56, 125, 62, 131, 68, 137, 64, 133, 58, 127, 52, 121, 46, 115, 40, 109, 34, 103, 28, 97, 22, 91, 16, 85, 10, 79, 4, 73)(139, 208)(140, 209)(141, 210)(142, 211)(143, 212)(144, 213)(145, 214)(146, 215)(147, 216)(148, 217)(149, 218)(150, 219)(151, 220)(152, 221)(153, 222)(154, 223)(155, 224)(156, 225)(157, 226)(158, 227)(159, 228)(160, 229)(161, 230)(162, 231)(163, 232)(164, 233)(165, 234)(166, 235)(167, 236)(168, 237)(169, 238)(170, 239)(171, 240)(172, 241)(173, 242)(174, 243)(175, 244)(176, 245)(177, 246)(178, 247)(179, 248)(180, 249)(181, 250)(182, 251)(183, 252)(184, 253)(185, 254)(186, 255)(187, 256)(188, 257)(189, 258)(190, 259)(191, 260)(192, 261)(193, 262)(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)
	L = (1, 141)(2, 145)(3, 143)(4, 147)(5, 139)(6, 151)(7, 146)(8, 140)(9, 149)(10, 153)(11, 142)(12, 157)(13, 152)(14, 144)(15, 155)(16, 159)(17, 148)(18, 163)(19, 158)(20, 150)(21, 161)(22, 165)(23, 154)(24, 169)(25, 164)(26, 156)(27, 167)(28, 171)(29, 160)(30, 175)(31, 170)(32, 162)(33, 173)(34, 177)(35, 166)(36, 181)(37, 176)(38, 168)(39, 179)(40, 183)(41, 172)(42, 187)(43, 182)(44, 174)(45, 185)(46, 189)(47, 178)(48, 193)(49, 188)(50, 180)(51, 191)(52, 195)(53, 184)(54, 199)(55, 194)(56, 186)(57, 197)(58, 201)(59, 190)(60, 205)(61, 200)(62, 192)(63, 203)(64, 204)(65, 196)(66, 207)(67, 206)(68, 198)(69, 202)(70, 208)(71, 209)(72, 210)(73, 211)(74, 212)(75, 213)(76, 214)(77, 215)(78, 216)(79, 217)(80, 218)(81, 219)(82, 220)(83, 221)(84, 222)(85, 223)(86, 224)(87, 225)(88, 226)(89, 227)(90, 228)(91, 229)(92, 230)(93, 231)(94, 232)(95, 233)(96, 234)(97, 235)(98, 236)(99, 237)(100, 238)(101, 239)(102, 240)(103, 241)(104, 242)(105, 243)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 258)(121, 259)(122, 260)(123, 261)(124, 262)(125, 263)(126, 264)(127, 265)(128, 266)(129, 267)(130, 268)(131, 269)(132, 270)(133, 271)(134, 272)(135, 273)(136, 274)(137, 275)(138, 276)
	local type(s) :: { ( 6, 46 ), ( 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46, 6, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1216
Graph:: bipartite
	v = 70 e = 138 f = 26
	degree seq :: [ 2^69, 138 ]

E22.1220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 23, 69})
Quotient :: dipole
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), (Y2^-1, Y1^-1), Y2^23 * 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 ]
Map::
	R = (1, 70, 2, 71, 4, 73)(3, 72, 6, 75, 9, 78)(5, 74, 7, 76, 10, 79)(8, 77, 12, 81, 15, 84)(11, 80, 13, 82, 16, 85)(14, 83, 18, 87, 21, 90)(17, 86, 19, 88, 22, 91)(20, 89, 24, 93, 27, 96)(23, 92, 25, 94, 28, 97)(26, 95, 30, 99, 33, 102)(29, 98, 31, 100, 34, 103)(32, 101, 36, 105, 39, 108)(35, 104, 37, 106, 40, 109)(38, 107, 42, 111, 45, 114)(41, 110, 43, 112, 46, 115)(44, 113, 48, 117, 51, 120)(47, 116, 49, 118, 52, 121)(50, 119, 54, 123, 57, 126)(53, 122, 55, 124, 58, 127)(56, 125, 60, 129, 63, 132)(59, 128, 61, 130, 64, 133)(62, 131, 66, 135, 68, 137)(65, 134, 67, 136, 69, 138)(139, 208, 141, 210, 146, 215, 152, 221, 158, 227, 164, 233, 170, 239, 176, 245, 182, 251, 188, 257, 194, 263, 200, 269, 205, 274, 199, 268, 193, 262, 187, 256, 181, 250, 175, 244, 169, 238, 163, 232, 157, 226, 151, 220, 145, 214, 140, 209, 144, 213, 150, 219, 156, 225, 162, 231, 168, 237, 174, 243, 180, 249, 186, 255, 192, 261, 198, 267, 204, 273, 207, 276, 202, 271, 196, 265, 190, 259, 184, 253, 178, 247, 172, 241, 166, 235, 160, 229, 154, 223, 148, 217, 142, 211, 147, 216, 153, 222, 159, 228, 165, 234, 171, 240, 177, 246, 183, 252, 189, 258, 195, 264, 201, 270, 206, 275, 203, 272, 197, 266, 191, 260, 185, 254, 179, 248, 173, 242, 167, 236, 161, 230, 155, 224, 149, 218, 143, 212)
	L = (1, 142)(2, 139)(3, 147)(4, 140)(5, 148)(6, 141)(7, 143)(8, 153)(9, 144)(10, 145)(11, 154)(12, 146)(13, 149)(14, 159)(15, 150)(16, 151)(17, 160)(18, 152)(19, 155)(20, 165)(21, 156)(22, 157)(23, 166)(24, 158)(25, 161)(26, 171)(27, 162)(28, 163)(29, 172)(30, 164)(31, 167)(32, 177)(33, 168)(34, 169)(35, 178)(36, 170)(37, 173)(38, 183)(39, 174)(40, 175)(41, 184)(42, 176)(43, 179)(44, 189)(45, 180)(46, 181)(47, 190)(48, 182)(49, 185)(50, 195)(51, 186)(52, 187)(53, 196)(54, 188)(55, 191)(56, 201)(57, 192)(58, 193)(59, 202)(60, 194)(61, 197)(62, 206)(63, 198)(64, 199)(65, 207)(66, 200)(67, 203)(68, 204)(69, 205)(70, 208)(71, 209)(72, 210)(73, 211)(74, 212)(75, 213)(76, 214)(77, 215)(78, 216)(79, 217)(80, 218)(81, 219)(82, 220)(83, 221)(84, 222)(85, 223)(86, 224)(87, 225)(88, 226)(89, 227)(90, 228)(91, 229)(92, 230)(93, 231)(94, 232)(95, 233)(96, 234)(97, 235)(98, 236)(99, 237)(100, 238)(101, 239)(102, 240)(103, 241)(104, 242)(105, 243)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 258)(121, 259)(122, 260)(123, 261)(124, 262)(125, 263)(126, 264)(127, 265)(128, 266)(129, 267)(130, 268)(131, 269)(132, 270)(133, 271)(134, 272)(135, 273)(136, 274)(137, 275)(138, 276)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46 ), ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1221
Graph:: bipartite
	v = 24 e = 138 f = 72
	degree seq :: [ 6^23, 138 ]

E22.1221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 23, 69})
Quotient :: dipole
Aut^+ = C69 (small group id <69, 1>)
Aut   = D138 (small group id <138, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-3 * Y3^-3, (R * Y2 * Y3^-1)^2, Y3^-21 * Y1^2, Y1^9 * Y3^-1 * Y1 * Y3^-11 * Y1, Y1^23, (Y3 * Y2^-1)^69 ]
Map::
	R = (1, 70, 2, 71, 6, 75, 14, 83, 22, 91, 28, 97, 34, 103, 40, 109, 46, 115, 52, 121, 58, 127, 64, 133, 69, 138, 62, 131, 55, 124, 51, 120, 44, 113, 37, 106, 33, 102, 26, 95, 19, 88, 11, 80, 4, 73)(3, 72, 7, 76, 15, 84, 13, 82, 18, 87, 24, 93, 30, 99, 36, 105, 42, 111, 48, 117, 54, 123, 60, 129, 66, 135, 68, 137, 61, 130, 57, 126, 50, 119, 43, 112, 39, 108, 32, 101, 25, 94, 21, 90, 10, 79)(5, 74, 8, 77, 16, 85, 23, 92, 29, 98, 35, 104, 41, 110, 47, 116, 53, 122, 59, 128, 65, 134, 67, 136, 63, 132, 56, 125, 49, 118, 45, 114, 38, 107, 31, 100, 27, 96, 20, 89, 9, 78, 17, 86, 12, 81)(139, 208)(140, 209)(141, 210)(142, 211)(143, 212)(144, 213)(145, 214)(146, 215)(147, 216)(148, 217)(149, 218)(150, 219)(151, 220)(152, 221)(153, 222)(154, 223)(155, 224)(156, 225)(157, 226)(158, 227)(159, 228)(160, 229)(161, 230)(162, 231)(163, 232)(164, 233)(165, 234)(166, 235)(167, 236)(168, 237)(169, 238)(170, 239)(171, 240)(172, 241)(173, 242)(174, 243)(175, 244)(176, 245)(177, 246)(178, 247)(179, 248)(180, 249)(181, 250)(182, 251)(183, 252)(184, 253)(185, 254)(186, 255)(187, 256)(188, 257)(189, 258)(190, 259)(191, 260)(192, 261)(193, 262)(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)
	L = (1, 141)(2, 145)(3, 147)(4, 148)(5, 139)(6, 153)(7, 155)(8, 140)(9, 157)(10, 158)(11, 159)(12, 142)(13, 143)(14, 151)(15, 150)(16, 144)(17, 149)(18, 146)(19, 163)(20, 164)(21, 165)(22, 156)(23, 152)(24, 154)(25, 169)(26, 170)(27, 171)(28, 162)(29, 160)(30, 161)(31, 175)(32, 176)(33, 177)(34, 168)(35, 166)(36, 167)(37, 181)(38, 182)(39, 183)(40, 174)(41, 172)(42, 173)(43, 187)(44, 188)(45, 189)(46, 180)(47, 178)(48, 179)(49, 193)(50, 194)(51, 195)(52, 186)(53, 184)(54, 185)(55, 199)(56, 200)(57, 201)(58, 192)(59, 190)(60, 191)(61, 205)(62, 206)(63, 207)(64, 198)(65, 196)(66, 197)(67, 202)(68, 203)(69, 204)(70, 208)(71, 209)(72, 210)(73, 211)(74, 212)(75, 213)(76, 214)(77, 215)(78, 216)(79, 217)(80, 218)(81, 219)(82, 220)(83, 221)(84, 222)(85, 223)(86, 224)(87, 225)(88, 226)(89, 227)(90, 228)(91, 229)(92, 230)(93, 231)(94, 232)(95, 233)(96, 234)(97, 235)(98, 236)(99, 237)(100, 238)(101, 239)(102, 240)(103, 241)(104, 242)(105, 243)(106, 244)(107, 245)(108, 246)(109, 247)(110, 248)(111, 249)(112, 250)(113, 251)(114, 252)(115, 253)(116, 254)(117, 255)(118, 256)(119, 257)(120, 258)(121, 259)(122, 260)(123, 261)(124, 262)(125, 263)(126, 264)(127, 265)(128, 266)(129, 267)(130, 268)(131, 269)(132, 270)(133, 271)(134, 272)(135, 273)(136, 274)(137, 275)(138, 276)
	local type(s) :: { ( 6, 138 ), ( 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138, 6, 138 ) }
Outer automorphisms :: reflexible
Dual of E22.1220
Graph:: simple bipartite
	v = 72 e = 138 f = 24
	degree seq :: [ 2^69, 46^3 ]

E22.1222 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, Y2^3, R * Y1 * R * Y2, (Y3 * Y1^-1)^2, (Y1, Y2), (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^4, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 17, 89, 7, 79)(2, 74, 9, 81, 29, 101, 11, 83)(3, 75, 12, 84, 34, 106, 14, 86)(5, 77, 18, 90, 45, 117, 20, 92)(6, 78, 21, 93, 47, 119, 22, 94)(8, 80, 25, 97, 50, 122, 26, 98)(10, 82, 30, 102, 56, 128, 31, 103)(13, 85, 35, 107, 60, 132, 36, 108)(15, 87, 38, 110, 62, 134, 39, 111)(16, 88, 40, 112, 64, 136, 41, 113)(19, 91, 46, 118, 61, 133, 37, 109)(23, 95, 42, 114, 65, 137, 48, 120)(24, 96, 43, 115, 66, 138, 49, 121)(27, 99, 51, 123, 68, 140, 52, 124)(28, 100, 53, 125, 69, 141, 54, 126)(32, 104, 55, 127, 70, 142, 57, 129)(33, 105, 58, 130, 71, 143, 59, 131)(44, 116, 63, 135, 72, 144, 67, 139)(145, 146, 149)(147, 152, 157)(148, 159, 155)(150, 154, 163)(151, 162, 167)(153, 171, 164)(156, 177, 170)(158, 179, 176)(160, 181, 174)(161, 186, 183)(165, 188, 175)(166, 190, 172)(168, 180, 169)(173, 182, 196)(178, 199, 203)(184, 198, 205)(185, 200, 207)(187, 201, 204)(189, 195, 192)(191, 197, 211)(193, 194, 202)(206, 209, 212)(208, 216, 213)(210, 215, 214)(217, 219, 222)(218, 224, 226)(220, 232, 230)(221, 229, 235)(223, 237, 240)(225, 244, 242)(227, 246, 248)(228, 243, 238)(231, 253, 251)(233, 259, 257)(234, 260, 252)(236, 262, 249)(239, 247, 241)(245, 271, 270)(250, 256, 268)(254, 275, 277)(255, 276, 279)(258, 273, 272)(261, 274, 283)(263, 267, 265)(264, 266, 269)(278, 288, 287)(280, 282, 284)(281, 285, 286)
	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) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1235
Graph:: simple bipartite
	v = 66 e = 144 f = 36
	degree seq :: [ 3^48, 8^18 ]

E22.1223 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, (Y2 * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y2^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^4, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 18, 90, 7, 79)(2, 74, 9, 81, 34, 106, 11, 83)(3, 75, 13, 85, 31, 103, 15, 87)(5, 77, 22, 94, 49, 121, 16, 88)(6, 78, 25, 97, 51, 123, 17, 89)(8, 80, 30, 102, 56, 128, 32, 104)(10, 82, 37, 109, 24, 96, 33, 105)(12, 84, 35, 107, 59, 131, 42, 114)(14, 86, 45, 117, 21, 93, 43, 115)(19, 91, 54, 126, 70, 142, 52, 124)(20, 92, 55, 127, 65, 137, 53, 125)(23, 95, 58, 130, 36, 108, 50, 122)(26, 98, 61, 133, 44, 116, 48, 120)(27, 99, 46, 118, 71, 143, 62, 134)(28, 100, 38, 110, 67, 139, 63, 135)(29, 101, 57, 129, 66, 138, 47, 119)(39, 111, 64, 136, 72, 144, 68, 140)(40, 112, 41, 113, 60, 132, 69, 141)(145, 146, 149)(147, 156, 158)(148, 160, 163)(150, 168, 170)(151, 171, 153)(152, 173, 175)(154, 180, 182)(155, 183, 166)(157, 187, 174)(159, 191, 179)(161, 194, 177)(162, 196, 190)(164, 189, 186)(165, 197, 200)(167, 195, 185)(169, 192, 204)(172, 205, 181)(176, 209, 201)(178, 206, 208)(184, 211, 202)(188, 207, 213)(193, 212, 198)(199, 203, 210)(214, 216, 215)(217, 219, 222)(218, 224, 226)(220, 233, 236)(221, 237, 239)(223, 244, 229)(225, 249, 251)(227, 256, 246)(228, 257, 250)(230, 260, 262)(231, 255, 241)(232, 264, 259)(234, 269, 254)(235, 253, 248)(238, 266, 273)(240, 268, 275)(242, 265, 245)(243, 274, 261)(247, 279, 280)(252, 278, 282)(258, 286, 276)(263, 287, 277)(267, 284, 271)(270, 272, 285)(281, 288, 283)
	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) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1234
Graph:: simple bipartite
	v = 66 e = 144 f = 36
	degree seq :: [ 3^48, 8^18 ]

E22.1224 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-2 * Y1^-1 * Y2^-1, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y3^-2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^2 * Y1^-1, Y3^4, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 12, 84, 7, 79)(2, 74, 9, 81, 6, 78, 11, 83)(3, 75, 13, 85, 23, 95, 15, 87)(5, 77, 21, 93, 10, 82, 22, 94)(8, 80, 26, 98, 32, 104, 27, 99)(14, 86, 39, 111, 20, 92, 40, 112)(16, 88, 43, 115, 19, 91, 45, 117)(17, 89, 46, 118, 50, 122, 47, 119)(18, 90, 48, 120, 44, 116, 49, 121)(24, 96, 53, 125, 25, 97, 54, 126)(28, 100, 55, 127, 31, 103, 57, 129)(29, 101, 58, 130, 62, 134, 59, 131)(30, 102, 60, 132, 56, 128, 61, 133)(33, 105, 63, 135, 34, 106, 64, 136)(35, 107, 65, 137, 38, 110, 66, 138)(36, 108, 67, 139, 51, 123, 68, 140)(37, 109, 69, 141, 52, 124, 70, 142)(41, 113, 71, 143, 42, 114, 72, 144)(145, 146, 149)(147, 156, 158)(148, 160, 162)(150, 167, 152)(151, 168, 161)(153, 172, 174)(154, 176, 164)(155, 177, 173)(157, 179, 181)(159, 185, 180)(163, 194, 171)(165, 186, 196)(166, 182, 195)(169, 188, 170)(175, 206, 183)(178, 200, 184)(187, 199, 216)(189, 208, 210)(190, 205, 214)(191, 203, 211)(192, 202, 213)(193, 204, 212)(197, 201, 209)(198, 207, 215)(217, 219, 222)(218, 224, 226)(220, 233, 235)(221, 236, 228)(223, 234, 241)(225, 245, 247)(227, 246, 250)(229, 252, 254)(230, 248, 239)(231, 253, 258)(232, 243, 260)(237, 267, 257)(238, 268, 251)(240, 242, 266)(244, 255, 272)(249, 256, 278)(259, 282, 273)(261, 288, 279)(262, 283, 276)(263, 286, 274)(264, 284, 275)(265, 285, 277)(269, 287, 271)(270, 281, 280)
	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) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1236
Graph:: simple bipartite
	v = 66 e = 144 f = 36
	degree seq :: [ 3^48, 8^18 ]

E22.1225 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2^-1 * Y3^2 * Y1^-1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1 * Y2)^2, (Y2 * Y1^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76, 12, 84, 7, 79)(2, 74, 9, 81, 6, 78, 11, 83)(3, 75, 13, 85, 23, 95, 15, 87)(5, 77, 21, 93, 10, 82, 22, 94)(8, 80, 26, 98, 32, 104, 27, 99)(14, 86, 39, 111, 20, 92, 40, 112)(16, 88, 43, 115, 19, 91, 45, 117)(17, 89, 46, 118, 50, 122, 47, 119)(18, 90, 48, 120, 44, 116, 49, 121)(24, 96, 53, 125, 25, 97, 54, 126)(28, 100, 55, 127, 31, 103, 57, 129)(29, 101, 58, 130, 62, 134, 59, 131)(30, 102, 60, 132, 56, 128, 61, 133)(33, 105, 63, 135, 34, 106, 64, 136)(35, 107, 65, 137, 38, 110, 66, 138)(36, 108, 67, 139, 51, 123, 68, 140)(37, 109, 69, 141, 52, 124, 70, 142)(41, 113, 71, 143, 42, 114, 72, 144)(145, 146, 149)(147, 156, 158)(148, 160, 162)(150, 167, 152)(151, 168, 161)(153, 172, 174)(154, 176, 164)(155, 177, 173)(157, 179, 181)(159, 185, 180)(163, 194, 171)(165, 186, 196)(166, 182, 195)(169, 188, 170)(175, 206, 183)(178, 200, 184)(187, 201, 210)(189, 207, 216)(190, 203, 213)(191, 205, 212)(192, 204, 214)(193, 202, 211)(197, 199, 215)(198, 208, 209)(217, 219, 222)(218, 224, 226)(220, 233, 235)(221, 236, 228)(223, 234, 241)(225, 245, 247)(227, 246, 250)(229, 252, 254)(230, 248, 239)(231, 253, 258)(232, 243, 260)(237, 267, 257)(238, 268, 251)(240, 242, 266)(244, 255, 272)(249, 256, 278)(259, 288, 271)(261, 282, 280)(262, 284, 274)(263, 285, 276)(264, 283, 277)(265, 286, 275)(269, 281, 273)(270, 287, 279)
	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) :: { ( 8^3 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1237
Graph:: simple bipartite
	v = 66 e = 144 f = 36
	degree seq :: [ 3^48, 8^18 ]

E22.1226 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1 * Y3)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 13, 85)(6, 78, 14, 86)(7, 79, 20, 92)(9, 81, 22, 94)(10, 82, 26, 98)(12, 84, 28, 100)(15, 87, 32, 104)(16, 88, 31, 103)(17, 89, 34, 106)(18, 90, 33, 105)(19, 91, 41, 113)(21, 93, 42, 114)(23, 95, 46, 118)(24, 96, 45, 117)(25, 97, 50, 122)(27, 99, 51, 123)(29, 101, 53, 125)(30, 102, 52, 124)(35, 107, 57, 129)(36, 108, 56, 128)(37, 109, 55, 127)(38, 110, 60, 132)(39, 111, 59, 131)(40, 112, 58, 130)(43, 115, 65, 137)(44, 116, 64, 136)(47, 119, 68, 140)(48, 120, 67, 139)(49, 121, 66, 138)(54, 126, 69, 141)(61, 133, 72, 144)(62, 134, 71, 143)(63, 135, 70, 142)(145, 146, 149)(147, 154, 156)(148, 157, 152)(150, 161, 162)(151, 163, 165)(153, 167, 168)(155, 172, 170)(158, 177, 178)(159, 179, 180)(160, 181, 169)(164, 186, 185)(166, 189, 190)(171, 191, 188)(173, 187, 198)(174, 193, 182)(175, 194, 199)(176, 200, 201)(183, 192, 207)(184, 206, 205)(195, 208, 212)(196, 204, 210)(197, 213, 209)(202, 216, 215)(203, 214, 211)(217, 219, 222)(218, 223, 225)(220, 230, 227)(221, 231, 232)(224, 238, 236)(226, 241, 243)(228, 245, 246)(229, 247, 248)(233, 254, 255)(234, 256, 235)(237, 259, 260)(239, 263, 264)(240, 265, 251)(242, 267, 266)(244, 268, 269)(249, 257, 274)(250, 275, 276)(252, 270, 277)(253, 278, 279)(258, 280, 281)(261, 273, 282)(262, 283, 284)(271, 286, 287)(272, 288, 285)
	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) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1231
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 3^48, 4^36 ]

E22.1227 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y2^2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, (Y2^-1 * Y3 * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 10, 82)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(9, 81, 24, 96)(11, 83, 27, 99)(12, 84, 29, 101)(13, 85, 30, 102)(14, 86, 31, 103)(15, 87, 33, 105)(17, 89, 38, 110)(20, 92, 41, 113)(21, 93, 42, 114)(22, 94, 43, 115)(23, 95, 44, 116)(25, 97, 45, 117)(26, 98, 46, 118)(28, 100, 47, 119)(32, 104, 56, 128)(34, 106, 58, 130)(35, 107, 59, 131)(36, 108, 48, 120)(37, 109, 49, 121)(39, 111, 60, 132)(40, 112, 52, 124)(50, 122, 64, 136)(51, 123, 65, 137)(53, 125, 66, 138)(54, 126, 67, 139)(55, 127, 68, 140)(57, 129, 69, 141)(61, 133, 70, 142)(62, 134, 71, 143)(63, 135, 72, 144)(145, 146, 149)(147, 151, 155)(148, 156, 158)(150, 153, 161)(152, 164, 166)(154, 169, 167)(157, 172, 168)(159, 171, 176)(160, 178, 180)(162, 179, 184)(163, 183, 181)(165, 170, 182)(173, 192, 194)(174, 196, 195)(175, 198, 185)(177, 199, 189)(186, 191, 201)(187, 205, 202)(188, 206, 204)(190, 207, 203)(193, 197, 200)(208, 214, 211)(209, 216, 213)(210, 215, 212)(217, 219, 222)(218, 223, 225)(220, 229, 231)(221, 227, 233)(224, 237, 239)(226, 236, 242)(228, 244, 243)(230, 240, 248)(232, 251, 253)(234, 255, 252)(235, 250, 256)(238, 254, 241)(245, 265, 267)(246, 264, 269)(247, 271, 258)(249, 273, 257)(259, 278, 275)(260, 279, 274)(261, 263, 270)(262, 277, 276)(266, 272, 268)(280, 288, 284)(281, 287, 283)(282, 286, 285)
	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) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1230
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 3^48, 4^36 ]

E22.1228 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y3, (Y2 * Y1^-1)^3, Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 18, 90)(6, 78, 20, 92)(7, 79, 21, 93)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 33, 105)(13, 85, 34, 106)(14, 86, 36, 108)(15, 87, 39, 111)(16, 88, 41, 113)(17, 89, 42, 114)(19, 91, 45, 117)(22, 94, 48, 120)(23, 95, 49, 121)(24, 96, 52, 124)(25, 97, 53, 125)(26, 98, 54, 126)(29, 101, 57, 129)(30, 102, 58, 130)(31, 103, 59, 131)(32, 104, 60, 132)(35, 107, 64, 136)(37, 109, 68, 140)(38, 110, 69, 141)(40, 112, 70, 142)(43, 115, 62, 134)(44, 116, 61, 133)(46, 118, 67, 139)(47, 119, 65, 137)(50, 122, 72, 144)(51, 123, 63, 135)(55, 127, 66, 138)(56, 128, 71, 143)(145, 146, 149)(147, 154, 156)(148, 157, 159)(150, 163, 151)(152, 166, 168)(153, 170, 161)(155, 173, 175)(158, 165, 181)(160, 184, 172)(162, 187, 174)(164, 169, 191)(167, 186, 194)(171, 188, 200)(176, 199, 189)(177, 195, 190)(178, 192, 206)(179, 198, 182)(180, 209, 210)(183, 196, 202)(185, 207, 201)(193, 215, 208)(197, 204, 212)(203, 214, 211)(205, 213, 216)(217, 219, 222)(218, 223, 225)(220, 230, 232)(221, 233, 226)(224, 239, 241)(227, 246, 248)(228, 242, 235)(229, 244, 251)(231, 254, 237)(234, 247, 260)(236, 262, 238)(240, 267, 258)(243, 271, 259)(245, 261, 272)(249, 263, 266)(250, 277, 279)(252, 274, 283)(253, 270, 256)(255, 282, 265)(257, 276, 264)(268, 280, 275)(269, 285, 278)(273, 288, 284)(281, 286, 287)
	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) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1232
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 3^48, 4^36 ]

E22.1229 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 4})
Quotient :: edge^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, (Y2 * Y1^-1)^3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 4, 76)(2, 74, 8, 80)(3, 75, 11, 83)(5, 77, 18, 90)(6, 78, 20, 92)(7, 79, 21, 93)(9, 81, 27, 99)(10, 82, 28, 100)(12, 84, 33, 105)(13, 85, 34, 106)(14, 86, 36, 108)(15, 87, 39, 111)(16, 88, 41, 113)(17, 89, 42, 114)(19, 91, 45, 117)(22, 94, 48, 120)(23, 95, 49, 121)(24, 96, 52, 124)(25, 97, 53, 125)(26, 98, 54, 126)(29, 101, 57, 129)(30, 102, 58, 130)(31, 103, 59, 131)(32, 104, 60, 132)(35, 107, 62, 134)(37, 109, 64, 136)(38, 110, 65, 137)(40, 112, 68, 140)(43, 115, 69, 141)(44, 116, 70, 142)(46, 118, 66, 138)(47, 119, 67, 139)(50, 122, 61, 133)(51, 123, 71, 143)(55, 127, 72, 144)(56, 128, 63, 135)(145, 146, 149)(147, 154, 156)(148, 157, 159)(150, 163, 151)(152, 166, 168)(153, 170, 161)(155, 173, 175)(158, 165, 181)(160, 184, 172)(162, 187, 174)(164, 169, 191)(167, 186, 194)(171, 188, 200)(176, 199, 189)(177, 195, 190)(178, 205, 204)(179, 198, 182)(180, 193, 203)(183, 210, 207)(185, 197, 214)(192, 201, 209)(196, 216, 212)(202, 206, 211)(208, 215, 213)(217, 219, 222)(218, 223, 225)(220, 230, 232)(221, 233, 226)(224, 239, 241)(227, 246, 248)(228, 242, 235)(229, 244, 251)(231, 254, 237)(234, 247, 260)(236, 262, 238)(240, 267, 258)(243, 271, 259)(245, 261, 272)(249, 263, 266)(250, 273, 269)(252, 279, 268)(253, 270, 256)(255, 275, 283)(257, 285, 277)(264, 280, 286)(265, 284, 274)(276, 287, 281)(278, 288, 282)
	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) :: { ( 16^3 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1233
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 3^48, 4^36 ]

E22.1230 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y1^3, Y2^3, R * Y1 * R * Y2, (Y3 * Y1^-1)^2, (Y1, Y2), (R * Y3)^2, (Y3 * Y2^-1)^2, Y3^4, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 17, 89, 161, 233, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 29, 101, 173, 245, 11, 83, 155, 227)(3, 75, 147, 219, 12, 84, 156, 228, 34, 106, 178, 250, 14, 86, 158, 230)(5, 77, 149, 221, 18, 90, 162, 234, 45, 117, 189, 261, 20, 92, 164, 236)(6, 78, 150, 222, 21, 93, 165, 237, 47, 119, 191, 263, 22, 94, 166, 238)(8, 80, 152, 224, 25, 97, 169, 241, 50, 122, 194, 266, 26, 98, 170, 242)(10, 82, 154, 226, 30, 102, 174, 246, 56, 128, 200, 272, 31, 103, 175, 247)(13, 85, 157, 229, 35, 107, 179, 251, 60, 132, 204, 276, 36, 108, 180, 252)(15, 87, 159, 231, 38, 110, 182, 254, 62, 134, 206, 278, 39, 111, 183, 255)(16, 88, 160, 232, 40, 112, 184, 256, 64, 136, 208, 280, 41, 113, 185, 257)(19, 91, 163, 235, 46, 118, 190, 262, 61, 133, 205, 277, 37, 109, 181, 253)(23, 95, 167, 239, 42, 114, 186, 258, 65, 137, 209, 281, 48, 120, 192, 264)(24, 96, 168, 240, 43, 115, 187, 259, 66, 138, 210, 282, 49, 121, 193, 265)(27, 99, 171, 243, 51, 123, 195, 267, 68, 140, 212, 284, 52, 124, 196, 268)(28, 100, 172, 244, 53, 125, 197, 269, 69, 141, 213, 285, 54, 126, 198, 270)(32, 104, 176, 248, 55, 127, 199, 271, 70, 142, 214, 286, 57, 129, 201, 273)(33, 105, 177, 249, 58, 130, 202, 274, 71, 143, 215, 287, 59, 131, 203, 275)(44, 116, 188, 260, 63, 135, 207, 279, 72, 144, 216, 288, 67, 139, 211, 283)
	L = (1, 74)(2, 77)(3, 80)(4, 87)(5, 73)(6, 82)(7, 90)(8, 85)(9, 99)(10, 91)(11, 76)(12, 105)(13, 75)(14, 107)(15, 83)(16, 109)(17, 114)(18, 95)(19, 78)(20, 81)(21, 116)(22, 118)(23, 79)(24, 108)(25, 96)(26, 84)(27, 92)(28, 94)(29, 110)(30, 88)(31, 93)(32, 86)(33, 98)(34, 127)(35, 104)(36, 97)(37, 102)(38, 124)(39, 89)(40, 126)(41, 128)(42, 111)(43, 129)(44, 103)(45, 123)(46, 100)(47, 125)(48, 117)(49, 122)(50, 130)(51, 120)(52, 101)(53, 139)(54, 133)(55, 131)(56, 135)(57, 132)(58, 121)(59, 106)(60, 115)(61, 112)(62, 137)(63, 113)(64, 144)(65, 140)(66, 143)(67, 119)(68, 134)(69, 136)(70, 138)(71, 142)(72, 141)(145, 219)(146, 224)(147, 222)(148, 232)(149, 229)(150, 217)(151, 237)(152, 226)(153, 244)(154, 218)(155, 246)(156, 243)(157, 235)(158, 220)(159, 253)(160, 230)(161, 259)(162, 260)(163, 221)(164, 262)(165, 240)(166, 228)(167, 247)(168, 223)(169, 239)(170, 225)(171, 238)(172, 242)(173, 271)(174, 248)(175, 241)(176, 227)(177, 236)(178, 256)(179, 231)(180, 234)(181, 251)(182, 275)(183, 276)(184, 268)(185, 233)(186, 273)(187, 257)(188, 252)(189, 274)(190, 249)(191, 267)(192, 266)(193, 263)(194, 269)(195, 265)(196, 250)(197, 264)(198, 245)(199, 270)(200, 258)(201, 272)(202, 283)(203, 277)(204, 279)(205, 254)(206, 288)(207, 255)(208, 282)(209, 285)(210, 284)(211, 261)(212, 280)(213, 286)(214, 281)(215, 278)(216, 287)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1227
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 84
	degree seq :: [ 16^18 ]

E22.1231 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y3 * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, (Y2 * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y2^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^4, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 18, 90, 162, 234, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 34, 106, 178, 250, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 31, 103, 175, 247, 15, 87, 159, 231)(5, 77, 149, 221, 22, 94, 166, 238, 49, 121, 193, 265, 16, 88, 160, 232)(6, 78, 150, 222, 25, 97, 169, 241, 51, 123, 195, 267, 17, 89, 161, 233)(8, 80, 152, 224, 30, 102, 174, 246, 56, 128, 200, 272, 32, 104, 176, 248)(10, 82, 154, 226, 37, 109, 181, 253, 24, 96, 168, 240, 33, 105, 177, 249)(12, 84, 156, 228, 35, 107, 179, 251, 59, 131, 203, 275, 42, 114, 186, 258)(14, 86, 158, 230, 45, 117, 189, 261, 21, 93, 165, 237, 43, 115, 187, 259)(19, 91, 163, 235, 54, 126, 198, 270, 70, 142, 214, 286, 52, 124, 196, 268)(20, 92, 164, 236, 55, 127, 199, 271, 65, 137, 209, 281, 53, 125, 197, 269)(23, 95, 167, 239, 58, 130, 202, 274, 36, 108, 180, 252, 50, 122, 194, 266)(26, 98, 170, 242, 61, 133, 205, 277, 44, 116, 188, 260, 48, 120, 192, 264)(27, 99, 171, 243, 46, 118, 190, 262, 71, 143, 215, 287, 62, 134, 206, 278)(28, 100, 172, 244, 38, 110, 182, 254, 67, 139, 211, 283, 63, 135, 207, 279)(29, 101, 173, 245, 57, 129, 201, 273, 66, 138, 210, 282, 47, 119, 191, 263)(39, 111, 183, 255, 64, 136, 208, 280, 72, 144, 216, 288, 68, 140, 212, 284)(40, 112, 184, 256, 41, 113, 185, 257, 60, 132, 204, 276, 69, 141, 213, 285)
	L = (1, 74)(2, 77)(3, 84)(4, 88)(5, 73)(6, 96)(7, 99)(8, 101)(9, 79)(10, 108)(11, 111)(12, 86)(13, 115)(14, 75)(15, 119)(16, 91)(17, 122)(18, 124)(19, 76)(20, 117)(21, 125)(22, 83)(23, 123)(24, 98)(25, 120)(26, 78)(27, 81)(28, 133)(29, 103)(30, 85)(31, 80)(32, 137)(33, 89)(34, 134)(35, 87)(36, 110)(37, 100)(38, 82)(39, 94)(40, 139)(41, 95)(42, 92)(43, 102)(44, 135)(45, 114)(46, 90)(47, 107)(48, 132)(49, 140)(50, 105)(51, 113)(52, 118)(53, 128)(54, 121)(55, 131)(56, 93)(57, 104)(58, 112)(59, 138)(60, 97)(61, 109)(62, 136)(63, 141)(64, 106)(65, 129)(66, 127)(67, 130)(68, 126)(69, 116)(70, 144)(71, 142)(72, 143)(145, 219)(146, 224)(147, 222)(148, 233)(149, 237)(150, 217)(151, 244)(152, 226)(153, 249)(154, 218)(155, 256)(156, 257)(157, 223)(158, 260)(159, 255)(160, 264)(161, 236)(162, 269)(163, 253)(164, 220)(165, 239)(166, 266)(167, 221)(168, 268)(169, 231)(170, 265)(171, 274)(172, 229)(173, 242)(174, 227)(175, 279)(176, 235)(177, 251)(178, 228)(179, 225)(180, 278)(181, 248)(182, 234)(183, 241)(184, 246)(185, 250)(186, 286)(187, 232)(188, 262)(189, 243)(190, 230)(191, 287)(192, 259)(193, 245)(194, 273)(195, 284)(196, 275)(197, 254)(198, 272)(199, 267)(200, 285)(201, 238)(202, 261)(203, 240)(204, 258)(205, 263)(206, 282)(207, 280)(208, 247)(209, 288)(210, 252)(211, 281)(212, 271)(213, 270)(214, 276)(215, 277)(216, 283)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1226
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 84
	degree seq :: [ 16^18 ]

E22.1232 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, Y3^-2 * Y1^-1 * Y2^-1, (Y1^-1 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y3^-2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3^2 * Y1^-1, Y3^4, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^2, (Y2 * Y1^-1)^3, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 12, 84, 156, 228, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 6, 78, 150, 222, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 23, 95, 167, 239, 15, 87, 159, 231)(5, 77, 149, 221, 21, 93, 165, 237, 10, 82, 154, 226, 22, 94, 166, 238)(8, 80, 152, 224, 26, 98, 170, 242, 32, 104, 176, 248, 27, 99, 171, 243)(14, 86, 158, 230, 39, 111, 183, 255, 20, 92, 164, 236, 40, 112, 184, 256)(16, 88, 160, 232, 43, 115, 187, 259, 19, 91, 163, 235, 45, 117, 189, 261)(17, 89, 161, 233, 46, 118, 190, 262, 50, 122, 194, 266, 47, 119, 191, 263)(18, 90, 162, 234, 48, 120, 192, 264, 44, 116, 188, 260, 49, 121, 193, 265)(24, 96, 168, 240, 53, 125, 197, 269, 25, 97, 169, 241, 54, 126, 198, 270)(28, 100, 172, 244, 55, 127, 199, 271, 31, 103, 175, 247, 57, 129, 201, 273)(29, 101, 173, 245, 58, 130, 202, 274, 62, 134, 206, 278, 59, 131, 203, 275)(30, 102, 174, 246, 60, 132, 204, 276, 56, 128, 200, 272, 61, 133, 205, 277)(33, 105, 177, 249, 63, 135, 207, 279, 34, 106, 178, 250, 64, 136, 208, 280)(35, 107, 179, 251, 65, 137, 209, 281, 38, 110, 182, 254, 66, 138, 210, 282)(36, 108, 180, 252, 67, 139, 211, 283, 51, 123, 195, 267, 68, 140, 212, 284)(37, 109, 181, 253, 69, 141, 213, 285, 52, 124, 196, 268, 70, 142, 214, 286)(41, 113, 185, 257, 71, 143, 215, 287, 42, 114, 186, 258, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 84)(4, 88)(5, 73)(6, 95)(7, 96)(8, 78)(9, 100)(10, 104)(11, 105)(12, 86)(13, 107)(14, 75)(15, 113)(16, 90)(17, 79)(18, 76)(19, 122)(20, 82)(21, 114)(22, 110)(23, 80)(24, 89)(25, 116)(26, 97)(27, 91)(28, 102)(29, 83)(30, 81)(31, 134)(32, 92)(33, 101)(34, 128)(35, 109)(36, 87)(37, 85)(38, 123)(39, 103)(40, 106)(41, 108)(42, 124)(43, 127)(44, 98)(45, 136)(46, 133)(47, 131)(48, 130)(49, 132)(50, 99)(51, 94)(52, 93)(53, 129)(54, 135)(55, 144)(56, 112)(57, 137)(58, 141)(59, 139)(60, 140)(61, 142)(62, 111)(63, 143)(64, 138)(65, 125)(66, 117)(67, 119)(68, 121)(69, 120)(70, 118)(71, 126)(72, 115)(145, 219)(146, 224)(147, 222)(148, 233)(149, 236)(150, 217)(151, 234)(152, 226)(153, 245)(154, 218)(155, 246)(156, 221)(157, 252)(158, 248)(159, 253)(160, 243)(161, 235)(162, 241)(163, 220)(164, 228)(165, 267)(166, 268)(167, 230)(168, 242)(169, 223)(170, 266)(171, 260)(172, 255)(173, 247)(174, 250)(175, 225)(176, 239)(177, 256)(178, 227)(179, 238)(180, 254)(181, 258)(182, 229)(183, 272)(184, 278)(185, 237)(186, 231)(187, 282)(188, 232)(189, 288)(190, 283)(191, 286)(192, 284)(193, 285)(194, 240)(195, 257)(196, 251)(197, 287)(198, 281)(199, 269)(200, 244)(201, 259)(202, 263)(203, 264)(204, 262)(205, 265)(206, 249)(207, 261)(208, 270)(209, 280)(210, 273)(211, 276)(212, 275)(213, 277)(214, 274)(215, 271)(216, 279)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1228
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 84
	degree seq :: [ 16^18 ]

E22.1233 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, Y2^-1 * Y3^-2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2^-1 * Y3^2 * Y1^-1, Y2 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1 * Y2)^2, (Y2 * Y1^-1)^3, (Y1^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220, 12, 84, 156, 228, 7, 79, 151, 223)(2, 74, 146, 218, 9, 81, 153, 225, 6, 78, 150, 222, 11, 83, 155, 227)(3, 75, 147, 219, 13, 85, 157, 229, 23, 95, 167, 239, 15, 87, 159, 231)(5, 77, 149, 221, 21, 93, 165, 237, 10, 82, 154, 226, 22, 94, 166, 238)(8, 80, 152, 224, 26, 98, 170, 242, 32, 104, 176, 248, 27, 99, 171, 243)(14, 86, 158, 230, 39, 111, 183, 255, 20, 92, 164, 236, 40, 112, 184, 256)(16, 88, 160, 232, 43, 115, 187, 259, 19, 91, 163, 235, 45, 117, 189, 261)(17, 89, 161, 233, 46, 118, 190, 262, 50, 122, 194, 266, 47, 119, 191, 263)(18, 90, 162, 234, 48, 120, 192, 264, 44, 116, 188, 260, 49, 121, 193, 265)(24, 96, 168, 240, 53, 125, 197, 269, 25, 97, 169, 241, 54, 126, 198, 270)(28, 100, 172, 244, 55, 127, 199, 271, 31, 103, 175, 247, 57, 129, 201, 273)(29, 101, 173, 245, 58, 130, 202, 274, 62, 134, 206, 278, 59, 131, 203, 275)(30, 102, 174, 246, 60, 132, 204, 276, 56, 128, 200, 272, 61, 133, 205, 277)(33, 105, 177, 249, 63, 135, 207, 279, 34, 106, 178, 250, 64, 136, 208, 280)(35, 107, 179, 251, 65, 137, 209, 281, 38, 110, 182, 254, 66, 138, 210, 282)(36, 108, 180, 252, 67, 139, 211, 283, 51, 123, 195, 267, 68, 140, 212, 284)(37, 109, 181, 253, 69, 141, 213, 285, 52, 124, 196, 268, 70, 142, 214, 286)(41, 113, 185, 257, 71, 143, 215, 287, 42, 114, 186, 258, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 84)(4, 88)(5, 73)(6, 95)(7, 96)(8, 78)(9, 100)(10, 104)(11, 105)(12, 86)(13, 107)(14, 75)(15, 113)(16, 90)(17, 79)(18, 76)(19, 122)(20, 82)(21, 114)(22, 110)(23, 80)(24, 89)(25, 116)(26, 97)(27, 91)(28, 102)(29, 83)(30, 81)(31, 134)(32, 92)(33, 101)(34, 128)(35, 109)(36, 87)(37, 85)(38, 123)(39, 103)(40, 106)(41, 108)(42, 124)(43, 129)(44, 98)(45, 135)(46, 131)(47, 133)(48, 132)(49, 130)(50, 99)(51, 94)(52, 93)(53, 127)(54, 136)(55, 143)(56, 112)(57, 138)(58, 139)(59, 141)(60, 142)(61, 140)(62, 111)(63, 144)(64, 137)(65, 126)(66, 115)(67, 121)(68, 119)(69, 118)(70, 120)(71, 125)(72, 117)(145, 219)(146, 224)(147, 222)(148, 233)(149, 236)(150, 217)(151, 234)(152, 226)(153, 245)(154, 218)(155, 246)(156, 221)(157, 252)(158, 248)(159, 253)(160, 243)(161, 235)(162, 241)(163, 220)(164, 228)(165, 267)(166, 268)(167, 230)(168, 242)(169, 223)(170, 266)(171, 260)(172, 255)(173, 247)(174, 250)(175, 225)(176, 239)(177, 256)(178, 227)(179, 238)(180, 254)(181, 258)(182, 229)(183, 272)(184, 278)(185, 237)(186, 231)(187, 288)(188, 232)(189, 282)(190, 284)(191, 285)(192, 283)(193, 286)(194, 240)(195, 257)(196, 251)(197, 281)(198, 287)(199, 259)(200, 244)(201, 269)(202, 262)(203, 265)(204, 263)(205, 264)(206, 249)(207, 270)(208, 261)(209, 273)(210, 280)(211, 277)(212, 274)(213, 276)(214, 275)(215, 279)(216, 271)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1229
Transitivity :: VT+
Graph::
	v = 18 e = 144 f = 84
	degree seq :: [ 16^18 ]

E22.1234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1 * Y3)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y2 * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y2^-1, Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 13, 85, 157, 229)(6, 78, 150, 222, 14, 86, 158, 230)(7, 79, 151, 223, 20, 92, 164, 236)(9, 81, 153, 225, 22, 94, 166, 238)(10, 82, 154, 226, 26, 98, 170, 242)(12, 84, 156, 228, 28, 100, 172, 244)(15, 87, 159, 231, 32, 104, 176, 248)(16, 88, 160, 232, 31, 103, 175, 247)(17, 89, 161, 233, 34, 106, 178, 250)(18, 90, 162, 234, 33, 105, 177, 249)(19, 91, 163, 235, 41, 113, 185, 257)(21, 93, 165, 237, 42, 114, 186, 258)(23, 95, 167, 239, 46, 118, 190, 262)(24, 96, 168, 240, 45, 117, 189, 261)(25, 97, 169, 241, 50, 122, 194, 266)(27, 99, 171, 243, 51, 123, 195, 267)(29, 101, 173, 245, 53, 125, 197, 269)(30, 102, 174, 246, 52, 124, 196, 268)(35, 107, 179, 251, 57, 129, 201, 273)(36, 108, 180, 252, 56, 128, 200, 272)(37, 109, 181, 253, 55, 127, 199, 271)(38, 110, 182, 254, 60, 132, 204, 276)(39, 111, 183, 255, 59, 131, 203, 275)(40, 112, 184, 256, 58, 130, 202, 274)(43, 115, 187, 259, 65, 137, 209, 281)(44, 116, 188, 260, 64, 136, 208, 280)(47, 119, 191, 263, 68, 140, 212, 284)(48, 120, 192, 264, 67, 139, 211, 283)(49, 121, 193, 265, 66, 138, 210, 282)(54, 126, 198, 270, 69, 141, 213, 285)(61, 133, 205, 277, 72, 144, 216, 288)(62, 134, 206, 278, 71, 143, 215, 287)(63, 135, 207, 279, 70, 142, 214, 286)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 89)(7, 91)(8, 76)(9, 95)(10, 84)(11, 100)(12, 75)(13, 80)(14, 105)(15, 107)(16, 109)(17, 90)(18, 78)(19, 93)(20, 114)(21, 79)(22, 117)(23, 96)(24, 81)(25, 88)(26, 83)(27, 119)(28, 98)(29, 115)(30, 121)(31, 122)(32, 128)(33, 106)(34, 86)(35, 108)(36, 87)(37, 97)(38, 102)(39, 120)(40, 134)(41, 92)(42, 113)(43, 126)(44, 99)(45, 118)(46, 94)(47, 116)(48, 135)(49, 110)(50, 127)(51, 136)(52, 132)(53, 141)(54, 101)(55, 103)(56, 129)(57, 104)(58, 144)(59, 142)(60, 138)(61, 112)(62, 133)(63, 111)(64, 140)(65, 125)(66, 124)(67, 131)(68, 123)(69, 137)(70, 139)(71, 130)(72, 143)(145, 219)(146, 223)(147, 222)(148, 230)(149, 231)(150, 217)(151, 225)(152, 238)(153, 218)(154, 241)(155, 220)(156, 245)(157, 247)(158, 227)(159, 232)(160, 221)(161, 254)(162, 256)(163, 234)(164, 224)(165, 259)(166, 236)(167, 263)(168, 265)(169, 243)(170, 267)(171, 226)(172, 268)(173, 246)(174, 228)(175, 248)(176, 229)(177, 257)(178, 275)(179, 240)(180, 270)(181, 278)(182, 255)(183, 233)(184, 235)(185, 274)(186, 280)(187, 260)(188, 237)(189, 273)(190, 283)(191, 264)(192, 239)(193, 251)(194, 242)(195, 266)(196, 269)(197, 244)(198, 277)(199, 286)(200, 288)(201, 282)(202, 249)(203, 276)(204, 250)(205, 252)(206, 279)(207, 253)(208, 281)(209, 258)(210, 261)(211, 284)(212, 262)(213, 272)(214, 287)(215, 271)(216, 285)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1223
Transitivity :: VT+
Graph::
	v = 36 e = 144 f = 66
	degree seq :: [ 8^36 ]

E22.1235 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y2^2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y2, (Y2^-1 * Y3 * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1 * Y3 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226)(5, 77, 149, 221, 16, 88, 160, 232)(6, 78, 150, 222, 18, 90, 162, 234)(7, 79, 151, 223, 19, 91, 163, 235)(9, 81, 153, 225, 24, 96, 168, 240)(11, 83, 155, 227, 27, 99, 171, 243)(12, 84, 156, 228, 29, 101, 173, 245)(13, 85, 157, 229, 30, 102, 174, 246)(14, 86, 158, 230, 31, 103, 175, 247)(15, 87, 159, 231, 33, 105, 177, 249)(17, 89, 161, 233, 38, 110, 182, 254)(20, 92, 164, 236, 41, 113, 185, 257)(21, 93, 165, 237, 42, 114, 186, 258)(22, 94, 166, 238, 43, 115, 187, 259)(23, 95, 167, 239, 44, 116, 188, 260)(25, 97, 169, 241, 45, 117, 189, 261)(26, 98, 170, 242, 46, 118, 190, 262)(28, 100, 172, 244, 47, 119, 191, 263)(32, 104, 176, 248, 56, 128, 200, 272)(34, 106, 178, 250, 58, 130, 202, 274)(35, 107, 179, 251, 59, 131, 203, 275)(36, 108, 180, 252, 48, 120, 192, 264)(37, 109, 181, 253, 49, 121, 193, 265)(39, 111, 183, 255, 60, 132, 204, 276)(40, 112, 184, 256, 52, 124, 196, 268)(50, 122, 194, 266, 64, 136, 208, 280)(51, 123, 195, 267, 65, 137, 209, 281)(53, 125, 197, 269, 66, 138, 210, 282)(54, 126, 198, 270, 67, 139, 211, 283)(55, 127, 199, 271, 68, 140, 212, 284)(57, 129, 201, 273, 69, 141, 213, 285)(61, 133, 205, 277, 70, 142, 214, 286)(62, 134, 206, 278, 71, 143, 215, 287)(63, 135, 207, 279, 72, 144, 216, 288)
	L = (1, 74)(2, 77)(3, 79)(4, 84)(5, 73)(6, 81)(7, 83)(8, 92)(9, 89)(10, 97)(11, 75)(12, 86)(13, 100)(14, 76)(15, 99)(16, 106)(17, 78)(18, 107)(19, 111)(20, 94)(21, 98)(22, 80)(23, 82)(24, 85)(25, 95)(26, 110)(27, 104)(28, 96)(29, 120)(30, 124)(31, 126)(32, 87)(33, 127)(34, 108)(35, 112)(36, 88)(37, 91)(38, 93)(39, 109)(40, 90)(41, 103)(42, 119)(43, 133)(44, 134)(45, 105)(46, 135)(47, 129)(48, 122)(49, 125)(50, 101)(51, 102)(52, 123)(53, 128)(54, 113)(55, 117)(56, 121)(57, 114)(58, 115)(59, 118)(60, 116)(61, 130)(62, 132)(63, 131)(64, 142)(65, 144)(66, 143)(67, 136)(68, 138)(69, 137)(70, 139)(71, 140)(72, 141)(145, 219)(146, 223)(147, 222)(148, 229)(149, 227)(150, 217)(151, 225)(152, 237)(153, 218)(154, 236)(155, 233)(156, 244)(157, 231)(158, 240)(159, 220)(160, 251)(161, 221)(162, 255)(163, 250)(164, 242)(165, 239)(166, 254)(167, 224)(168, 248)(169, 238)(170, 226)(171, 228)(172, 243)(173, 265)(174, 264)(175, 271)(176, 230)(177, 273)(178, 256)(179, 253)(180, 234)(181, 232)(182, 241)(183, 252)(184, 235)(185, 249)(186, 247)(187, 278)(188, 279)(189, 263)(190, 277)(191, 270)(192, 269)(193, 267)(194, 272)(195, 245)(196, 266)(197, 246)(198, 261)(199, 258)(200, 268)(201, 257)(202, 260)(203, 259)(204, 262)(205, 276)(206, 275)(207, 274)(208, 288)(209, 287)(210, 286)(211, 281)(212, 280)(213, 282)(214, 285)(215, 283)(216, 284)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1222
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 66
	degree seq :: [ 8^36 ]

E22.1236 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2^-1 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1 * Y3, (Y2 * Y1^-1)^3, Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 20, 92, 164, 236)(7, 79, 151, 223, 21, 93, 165, 237)(9, 81, 153, 225, 27, 99, 171, 243)(10, 82, 154, 226, 28, 100, 172, 244)(12, 84, 156, 228, 33, 105, 177, 249)(13, 85, 157, 229, 34, 106, 178, 250)(14, 86, 158, 230, 36, 108, 180, 252)(15, 87, 159, 231, 39, 111, 183, 255)(16, 88, 160, 232, 41, 113, 185, 257)(17, 89, 161, 233, 42, 114, 186, 258)(19, 91, 163, 235, 45, 117, 189, 261)(22, 94, 166, 238, 48, 120, 192, 264)(23, 95, 167, 239, 49, 121, 193, 265)(24, 96, 168, 240, 52, 124, 196, 268)(25, 97, 169, 241, 53, 125, 197, 269)(26, 98, 170, 242, 54, 126, 198, 270)(29, 101, 173, 245, 57, 129, 201, 273)(30, 102, 174, 246, 58, 130, 202, 274)(31, 103, 175, 247, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276)(35, 107, 179, 251, 64, 136, 208, 280)(37, 109, 181, 253, 68, 140, 212, 284)(38, 110, 182, 254, 69, 141, 213, 285)(40, 112, 184, 256, 70, 142, 214, 286)(43, 115, 187, 259, 62, 134, 206, 278)(44, 116, 188, 260, 61, 133, 205, 277)(46, 118, 190, 262, 67, 139, 211, 283)(47, 119, 191, 263, 65, 137, 209, 281)(50, 122, 194, 266, 72, 144, 216, 288)(51, 123, 195, 267, 63, 135, 207, 279)(55, 127, 199, 271, 66, 138, 210, 282)(56, 128, 200, 272, 71, 143, 215, 287)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 91)(7, 78)(8, 94)(9, 98)(10, 84)(11, 101)(12, 75)(13, 87)(14, 93)(15, 76)(16, 112)(17, 81)(18, 115)(19, 79)(20, 97)(21, 109)(22, 96)(23, 114)(24, 80)(25, 119)(26, 89)(27, 116)(28, 88)(29, 103)(30, 90)(31, 83)(32, 127)(33, 123)(34, 120)(35, 126)(36, 137)(37, 86)(38, 107)(39, 124)(40, 100)(41, 135)(42, 122)(43, 102)(44, 128)(45, 104)(46, 105)(47, 92)(48, 134)(49, 143)(50, 95)(51, 118)(52, 130)(53, 132)(54, 110)(55, 117)(56, 99)(57, 113)(58, 111)(59, 142)(60, 140)(61, 141)(62, 106)(63, 129)(64, 121)(65, 138)(66, 108)(67, 131)(68, 125)(69, 144)(70, 139)(71, 136)(72, 133)(145, 219)(146, 223)(147, 222)(148, 230)(149, 233)(150, 217)(151, 225)(152, 239)(153, 218)(154, 221)(155, 246)(156, 242)(157, 244)(158, 232)(159, 254)(160, 220)(161, 226)(162, 247)(163, 228)(164, 262)(165, 231)(166, 236)(167, 241)(168, 267)(169, 224)(170, 235)(171, 271)(172, 251)(173, 261)(174, 248)(175, 260)(176, 227)(177, 263)(178, 277)(179, 229)(180, 274)(181, 270)(182, 237)(183, 282)(184, 253)(185, 276)(186, 240)(187, 243)(188, 234)(189, 272)(190, 238)(191, 266)(192, 257)(193, 255)(194, 249)(195, 258)(196, 280)(197, 285)(198, 256)(199, 259)(200, 245)(201, 288)(202, 283)(203, 268)(204, 264)(205, 279)(206, 269)(207, 250)(208, 275)(209, 286)(210, 265)(211, 252)(212, 273)(213, 278)(214, 287)(215, 281)(216, 284)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1224
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 66
	degree seq :: [ 8^36 ]

E22.1237 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 4})
Quotient :: loop^2
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = C6 x S4 (small group id <144, 188>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3, (Y2 * Y1^-1)^3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 8, 80, 152, 224)(3, 75, 147, 219, 11, 83, 155, 227)(5, 77, 149, 221, 18, 90, 162, 234)(6, 78, 150, 222, 20, 92, 164, 236)(7, 79, 151, 223, 21, 93, 165, 237)(9, 81, 153, 225, 27, 99, 171, 243)(10, 82, 154, 226, 28, 100, 172, 244)(12, 84, 156, 228, 33, 105, 177, 249)(13, 85, 157, 229, 34, 106, 178, 250)(14, 86, 158, 230, 36, 108, 180, 252)(15, 87, 159, 231, 39, 111, 183, 255)(16, 88, 160, 232, 41, 113, 185, 257)(17, 89, 161, 233, 42, 114, 186, 258)(19, 91, 163, 235, 45, 117, 189, 261)(22, 94, 166, 238, 48, 120, 192, 264)(23, 95, 167, 239, 49, 121, 193, 265)(24, 96, 168, 240, 52, 124, 196, 268)(25, 97, 169, 241, 53, 125, 197, 269)(26, 98, 170, 242, 54, 126, 198, 270)(29, 101, 173, 245, 57, 129, 201, 273)(30, 102, 174, 246, 58, 130, 202, 274)(31, 103, 175, 247, 59, 131, 203, 275)(32, 104, 176, 248, 60, 132, 204, 276)(35, 107, 179, 251, 62, 134, 206, 278)(37, 109, 181, 253, 64, 136, 208, 280)(38, 110, 182, 254, 65, 137, 209, 281)(40, 112, 184, 256, 68, 140, 212, 284)(43, 115, 187, 259, 69, 141, 213, 285)(44, 116, 188, 260, 70, 142, 214, 286)(46, 118, 190, 262, 66, 138, 210, 282)(47, 119, 191, 263, 67, 139, 211, 283)(50, 122, 194, 266, 61, 133, 205, 277)(51, 123, 195, 267, 71, 143, 215, 287)(55, 127, 199, 271, 72, 144, 216, 288)(56, 128, 200, 272, 63, 135, 207, 279)
	L = (1, 74)(2, 77)(3, 82)(4, 85)(5, 73)(6, 91)(7, 78)(8, 94)(9, 98)(10, 84)(11, 101)(12, 75)(13, 87)(14, 93)(15, 76)(16, 112)(17, 81)(18, 115)(19, 79)(20, 97)(21, 109)(22, 96)(23, 114)(24, 80)(25, 119)(26, 89)(27, 116)(28, 88)(29, 103)(30, 90)(31, 83)(32, 127)(33, 123)(34, 133)(35, 126)(36, 121)(37, 86)(38, 107)(39, 138)(40, 100)(41, 125)(42, 122)(43, 102)(44, 128)(45, 104)(46, 105)(47, 92)(48, 129)(49, 131)(50, 95)(51, 118)(52, 144)(53, 142)(54, 110)(55, 117)(56, 99)(57, 137)(58, 134)(59, 108)(60, 106)(61, 132)(62, 139)(63, 111)(64, 143)(65, 120)(66, 135)(67, 130)(68, 124)(69, 136)(70, 113)(71, 141)(72, 140)(145, 219)(146, 223)(147, 222)(148, 230)(149, 233)(150, 217)(151, 225)(152, 239)(153, 218)(154, 221)(155, 246)(156, 242)(157, 244)(158, 232)(159, 254)(160, 220)(161, 226)(162, 247)(163, 228)(164, 262)(165, 231)(166, 236)(167, 241)(168, 267)(169, 224)(170, 235)(171, 271)(172, 251)(173, 261)(174, 248)(175, 260)(176, 227)(177, 263)(178, 273)(179, 229)(180, 279)(181, 270)(182, 237)(183, 275)(184, 253)(185, 285)(186, 240)(187, 243)(188, 234)(189, 272)(190, 238)(191, 266)(192, 280)(193, 284)(194, 249)(195, 258)(196, 252)(197, 250)(198, 256)(199, 259)(200, 245)(201, 269)(202, 265)(203, 283)(204, 287)(205, 257)(206, 288)(207, 268)(208, 286)(209, 276)(210, 278)(211, 255)(212, 274)(213, 277)(214, 264)(215, 281)(216, 282)
	local type(s) :: { ( 3, 8, 3, 8, 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1225
Transitivity :: VT+
Graph:: simple
	v = 36 e = 144 f = 66
	degree seq :: [ 8^36 ]

E22.1238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, (Y1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 13, 85)(5, 77, 9, 81)(6, 78, 16, 88)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 23, 95)(12, 84, 24, 96)(14, 86, 26, 98)(15, 87, 28, 100)(17, 89, 31, 103)(18, 90, 32, 104)(20, 92, 34, 106)(21, 93, 36, 108)(25, 97, 38, 110)(27, 99, 45, 117)(29, 101, 48, 120)(30, 102, 33, 105)(35, 107, 55, 127)(37, 109, 58, 130)(39, 111, 52, 124)(40, 112, 59, 131)(41, 113, 60, 132)(42, 114, 49, 121)(43, 115, 57, 129)(44, 116, 61, 133)(46, 118, 63, 135)(47, 119, 53, 125)(50, 122, 64, 136)(51, 123, 65, 137)(54, 126, 66, 138)(56, 128, 68, 140)(62, 134, 67, 139)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 172, 244)(163, 235, 175, 247, 178, 250)(166, 238, 176, 248, 180, 252)(169, 241, 183, 255, 187, 259)(171, 243, 184, 256, 188, 260)(173, 245, 185, 257, 190, 262)(174, 246, 186, 258, 191, 263)(177, 249, 193, 265, 197, 269)(179, 251, 194, 266, 198, 270)(181, 253, 195, 267, 200, 272)(182, 254, 196, 268, 201, 273)(189, 261, 203, 275, 205, 277)(192, 264, 204, 276, 207, 279)(199, 271, 208, 280, 210, 282)(202, 274, 209, 281, 212, 284)(206, 278, 213, 285, 214, 286)(211, 283, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 150)(5, 158)(6, 145)(7, 161)(8, 154)(9, 164)(10, 146)(11, 156)(12, 147)(13, 169)(14, 159)(15, 149)(16, 173)(17, 162)(18, 151)(19, 177)(20, 165)(21, 153)(22, 181)(23, 183)(24, 185)(25, 171)(26, 187)(27, 157)(28, 190)(29, 174)(30, 160)(31, 193)(32, 195)(33, 179)(34, 197)(35, 163)(36, 200)(37, 182)(38, 166)(39, 184)(40, 167)(41, 186)(42, 168)(43, 188)(44, 170)(45, 206)(46, 191)(47, 172)(48, 189)(49, 194)(50, 175)(51, 196)(52, 176)(53, 198)(54, 178)(55, 211)(56, 201)(57, 180)(58, 199)(59, 213)(60, 203)(61, 214)(62, 192)(63, 205)(64, 215)(65, 208)(66, 216)(67, 202)(68, 210)(69, 204)(70, 207)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1247
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 31, 103)(13, 85, 21, 93)(15, 87, 23, 95)(17, 89, 38, 110)(20, 92, 45, 117)(25, 97, 52, 124)(27, 99, 51, 123)(28, 100, 50, 122)(29, 101, 55, 127)(30, 102, 56, 128)(32, 104, 54, 126)(33, 105, 57, 129)(34, 106, 58, 130)(35, 107, 59, 131)(36, 108, 42, 114)(37, 109, 41, 113)(39, 111, 60, 132)(40, 112, 46, 118)(43, 115, 61, 133)(44, 116, 62, 134)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 172, 244, 177, 249)(160, 232, 178, 250, 180, 252)(162, 234, 183, 255, 181, 253)(163, 235, 185, 257, 187, 259)(166, 238, 186, 258, 191, 263)(168, 240, 192, 264, 194, 266)(170, 242, 197, 269, 195, 267)(174, 246, 182, 254, 176, 248)(175, 247, 179, 251, 184, 256)(188, 260, 196, 268, 190, 262)(189, 261, 193, 265, 198, 270)(199, 271, 211, 283, 203, 275)(200, 272, 213, 285, 202, 274)(201, 273, 212, 284, 204, 276)(205, 277, 214, 286, 209, 281)(206, 278, 216, 288, 208, 280)(207, 279, 215, 287, 210, 282)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 176)(15, 161)(16, 179)(17, 149)(18, 178)(19, 186)(20, 165)(21, 151)(22, 190)(23, 169)(24, 193)(25, 153)(26, 192)(27, 177)(28, 174)(29, 158)(30, 155)(31, 183)(32, 173)(33, 182)(34, 184)(35, 181)(36, 175)(37, 160)(38, 171)(39, 180)(40, 162)(41, 191)(42, 188)(43, 166)(44, 163)(45, 197)(46, 187)(47, 196)(48, 198)(49, 195)(50, 189)(51, 168)(52, 185)(53, 194)(54, 170)(55, 212)(56, 211)(57, 213)(58, 199)(59, 201)(60, 200)(61, 215)(62, 214)(63, 216)(64, 205)(65, 207)(66, 206)(67, 204)(68, 202)(69, 203)(70, 210)(71, 208)(72, 209)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1246
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1)^4, Y3 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 20, 92)(13, 85, 31, 103)(15, 87, 36, 108)(17, 89, 25, 97)(21, 93, 45, 117)(23, 95, 50, 122)(27, 99, 48, 120)(28, 100, 55, 127)(29, 101, 56, 128)(30, 102, 51, 123)(32, 104, 57, 129)(33, 105, 54, 126)(34, 106, 41, 113)(35, 107, 58, 130)(37, 109, 44, 116)(38, 110, 59, 131)(39, 111, 60, 132)(40, 112, 47, 119)(42, 114, 61, 133)(43, 115, 62, 134)(46, 118, 63, 135)(49, 121, 64, 136)(52, 124, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 71, 143)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 176, 248, 178, 250)(160, 232, 179, 251, 181, 253)(162, 234, 174, 246, 183, 255)(163, 235, 185, 257, 187, 259)(166, 238, 190, 262, 192, 264)(168, 240, 193, 265, 195, 267)(170, 242, 188, 260, 197, 269)(172, 244, 180, 252, 184, 256)(175, 247, 182, 254, 177, 249)(186, 258, 194, 266, 198, 270)(189, 261, 196, 268, 191, 263)(199, 271, 211, 283, 202, 274)(200, 272, 212, 284, 203, 275)(201, 273, 204, 276, 213, 285)(205, 277, 214, 286, 208, 280)(206, 278, 215, 287, 209, 281)(207, 279, 210, 282, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 177)(15, 161)(16, 178)(17, 149)(18, 173)(19, 186)(20, 165)(21, 151)(22, 191)(23, 169)(24, 192)(25, 153)(26, 187)(27, 180)(28, 174)(29, 184)(30, 155)(31, 181)(32, 175)(33, 179)(34, 182)(35, 158)(36, 183)(37, 176)(38, 160)(39, 171)(40, 162)(41, 194)(42, 188)(43, 198)(44, 163)(45, 195)(46, 189)(47, 193)(48, 196)(49, 166)(50, 197)(51, 190)(52, 168)(53, 185)(54, 170)(55, 201)(56, 202)(57, 212)(58, 213)(59, 211)(60, 203)(61, 207)(62, 208)(63, 215)(64, 216)(65, 214)(66, 209)(67, 204)(68, 199)(69, 200)(70, 210)(71, 205)(72, 206)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1248
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1, (Y3, Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 17, 89)(6, 78, 20, 92)(7, 79, 23, 95)(8, 80, 26, 98)(9, 81, 29, 101)(10, 82, 32, 104)(12, 84, 38, 110)(13, 85, 41, 113)(15, 87, 27, 99)(16, 88, 48, 120)(18, 90, 53, 125)(19, 91, 31, 103)(21, 93, 36, 108)(22, 94, 58, 130)(24, 96, 54, 126)(25, 97, 63, 135)(28, 100, 66, 138)(30, 102, 49, 121)(33, 105, 47, 119)(34, 106, 42, 114)(35, 107, 60, 132)(37, 109, 67, 139)(39, 111, 52, 124)(40, 112, 64, 136)(43, 115, 46, 118)(44, 116, 57, 129)(45, 117, 69, 141)(50, 122, 61, 133)(51, 123, 68, 140)(55, 127, 70, 142)(56, 128, 65, 137)(59, 131, 62, 134)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 159, 231, 160, 232)(150, 222, 165, 237, 166, 238)(152, 224, 171, 243, 172, 244)(154, 226, 177, 249, 178, 250)(155, 227, 179, 251, 181, 253)(156, 228, 183, 255, 184, 256)(157, 229, 186, 258, 187, 259)(158, 230, 188, 260, 175, 247)(161, 233, 194, 266, 195, 267)(162, 234, 176, 248, 198, 270)(163, 235, 170, 242, 199, 271)(164, 236, 182, 254, 174, 246)(167, 239, 204, 276, 205, 277)(168, 240, 206, 278, 190, 262)(169, 241, 202, 274, 208, 280)(173, 245, 211, 283, 212, 284)(180, 252, 196, 268, 189, 261)(185, 257, 197, 269, 200, 272)(191, 263, 203, 275, 209, 281)(192, 264, 216, 288, 214, 286)(193, 265, 213, 285, 207, 279)(201, 273, 210, 282, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 162)(6, 145)(7, 168)(8, 154)(9, 174)(10, 146)(11, 180)(12, 157)(13, 147)(14, 189)(15, 167)(16, 186)(17, 178)(18, 163)(19, 149)(20, 181)(21, 201)(22, 203)(23, 191)(24, 169)(25, 151)(26, 209)(27, 155)(28, 202)(29, 166)(30, 175)(31, 153)(32, 205)(33, 214)(34, 196)(35, 192)(36, 171)(37, 200)(38, 177)(39, 204)(40, 170)(41, 195)(42, 193)(43, 215)(44, 185)(45, 190)(46, 158)(47, 159)(48, 206)(49, 160)(50, 208)(51, 188)(52, 161)(53, 172)(54, 165)(55, 207)(56, 164)(57, 198)(58, 197)(59, 173)(60, 210)(61, 213)(62, 179)(63, 212)(64, 216)(65, 184)(66, 183)(67, 187)(68, 199)(69, 176)(70, 182)(71, 211)(72, 194)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1249
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (R * Y3)^2, R * Y2^-1 * R * Y2, (R * Y1)^2, (Y2, Y1^-1), Y3^4, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 15, 87, 18, 90)(6, 78, 10, 82, 20, 92)(7, 79, 22, 94, 9, 81)(11, 83, 28, 100, 19, 91)(12, 84, 29, 101, 31, 103)(14, 86, 33, 105, 23, 95)(16, 88, 34, 106, 37, 109)(17, 89, 38, 110, 39, 111)(21, 93, 42, 114, 25, 97)(24, 96, 45, 117, 32, 104)(26, 98, 43, 115, 47, 119)(27, 99, 48, 120, 41, 113)(30, 102, 51, 123, 52, 124)(35, 107, 49, 121, 40, 112)(36, 108, 56, 128, 57, 129)(44, 116, 54, 126, 62, 134)(46, 118, 61, 133, 64, 136)(50, 122, 63, 135, 53, 125)(55, 127, 66, 138, 58, 130)(59, 131, 65, 137, 60, 132)(67, 139, 71, 143, 68, 140)(69, 141, 72, 144, 70, 142)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 160, 232, 156, 228)(149, 221, 157, 229, 164, 236)(151, 223, 165, 237, 158, 230)(153, 225, 169, 241, 167, 239)(155, 227, 171, 243, 168, 240)(159, 231, 178, 250, 173, 245)(161, 233, 174, 246, 180, 252)(162, 234, 181, 253, 175, 247)(163, 235, 185, 257, 176, 248)(166, 238, 186, 258, 177, 249)(170, 242, 188, 260, 190, 262)(172, 244, 192, 264, 189, 261)(179, 251, 194, 266, 199, 271)(182, 254, 195, 267, 200, 272)(183, 255, 196, 268, 201, 273)(184, 256, 197, 269, 202, 274)(187, 259, 198, 270, 205, 277)(191, 263, 206, 278, 208, 280)(193, 265, 207, 279, 210, 282)(203, 275, 213, 285, 211, 283)(204, 276, 214, 286, 212, 284)(209, 281, 216, 288, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 161)(5, 163)(6, 160)(7, 145)(8, 167)(9, 170)(10, 169)(11, 146)(12, 174)(13, 176)(14, 147)(15, 149)(16, 180)(17, 151)(18, 184)(19, 179)(20, 185)(21, 150)(22, 183)(23, 188)(24, 152)(25, 190)(26, 155)(27, 154)(28, 191)(29, 157)(30, 158)(31, 197)(32, 194)(33, 196)(34, 164)(35, 159)(36, 165)(37, 202)(38, 162)(39, 204)(40, 203)(41, 199)(42, 201)(43, 166)(44, 168)(45, 206)(46, 171)(47, 209)(48, 208)(49, 172)(50, 173)(51, 175)(52, 212)(53, 211)(54, 177)(55, 178)(56, 181)(57, 214)(58, 213)(59, 182)(60, 187)(61, 186)(62, 215)(63, 189)(64, 216)(65, 193)(66, 192)(67, 195)(68, 198)(69, 200)(70, 205)(71, 207)(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) :: { ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1245
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 6^48 ]

E22.1243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y1^3, (Y2^-1, Y3^-1), (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (R * Y2^-1)^2, (R * Y1)^2, Y2^-1 * Y3^4, Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y3, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1, (Y3^-2 * Y2^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 13, 85)(4, 76, 15, 87, 17, 89)(6, 78, 10, 82, 20, 92)(7, 79, 22, 94, 9, 81)(11, 83, 29, 101, 19, 91)(12, 84, 31, 103, 33, 105)(14, 86, 35, 107, 24, 96)(16, 88, 38, 110, 39, 111)(18, 90, 36, 108, 41, 113)(21, 93, 44, 116, 27, 99)(23, 95, 47, 119, 45, 117)(25, 97, 49, 121, 34, 106)(26, 98, 46, 118, 50, 122)(28, 100, 51, 123, 43, 115)(30, 102, 54, 126, 52, 124)(32, 104, 55, 127, 56, 128)(37, 109, 60, 132, 40, 112)(42, 114, 53, 125, 57, 129)(48, 120, 59, 131, 68, 140)(58, 130, 69, 141, 64, 136)(61, 133, 71, 143, 62, 134)(63, 135, 70, 142, 66, 138)(65, 137, 67, 139, 72, 144)(145, 217, 147, 219, 150, 222)(146, 218, 152, 224, 154, 226)(148, 220, 156, 228, 162, 234)(149, 221, 157, 229, 164, 236)(151, 223, 158, 230, 165, 237)(153, 225, 168, 240, 171, 243)(155, 227, 169, 241, 172, 244)(159, 231, 175, 247, 180, 252)(160, 232, 176, 248, 167, 239)(161, 233, 177, 249, 185, 257)(163, 235, 178, 250, 187, 259)(166, 238, 179, 251, 188, 260)(170, 242, 192, 264, 174, 246)(173, 245, 193, 265, 195, 267)(181, 253, 186, 258, 202, 274)(182, 254, 199, 271, 191, 263)(183, 255, 200, 272, 189, 261)(184, 256, 201, 273, 208, 280)(190, 262, 203, 275, 198, 270)(194, 266, 212, 284, 196, 268)(197, 269, 213, 285, 204, 276)(205, 277, 207, 279, 211, 283)(206, 278, 210, 282, 209, 281)(214, 286, 216, 288, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 162)(7, 145)(8, 168)(9, 170)(10, 171)(11, 146)(12, 176)(13, 178)(14, 147)(15, 149)(16, 158)(17, 184)(18, 167)(19, 186)(20, 187)(21, 150)(22, 189)(23, 151)(24, 192)(25, 152)(26, 169)(27, 174)(28, 154)(29, 196)(30, 155)(31, 157)(32, 165)(33, 201)(34, 202)(35, 183)(36, 164)(37, 159)(38, 161)(39, 206)(40, 207)(41, 208)(42, 175)(43, 181)(44, 200)(45, 209)(46, 166)(47, 185)(48, 172)(49, 194)(50, 214)(51, 212)(52, 215)(53, 173)(54, 188)(55, 177)(56, 210)(57, 211)(58, 180)(59, 179)(60, 195)(61, 182)(62, 198)(63, 199)(64, 205)(65, 203)(66, 190)(67, 191)(68, 216)(69, 193)(70, 204)(71, 213)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1244
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 6^48 ]

E22.1244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^3, (R * Y2)^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2, Y1 * Y3^-2 * Y1^-1 * Y2 * Y3^-1, Y3^-2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 33, 105, 13, 85)(4, 76, 15, 87, 39, 111, 16, 88)(6, 78, 20, 92, 43, 115, 21, 93)(8, 80, 25, 97, 52, 124, 27, 99)(9, 81, 29, 101, 53, 125, 30, 102)(10, 82, 31, 103, 54, 126, 32, 104)(12, 84, 26, 98, 45, 117, 37, 109)(14, 86, 28, 100, 47, 119, 38, 110)(17, 89, 40, 112, 58, 130, 34, 106)(18, 90, 41, 113, 59, 131, 35, 107)(19, 91, 42, 114, 60, 132, 36, 108)(22, 94, 44, 116, 61, 133, 46, 118)(23, 95, 48, 120, 62, 134, 49, 121)(24, 96, 50, 122, 63, 135, 51, 123)(55, 127, 67, 139, 70, 142, 64, 136)(56, 128, 68, 140, 71, 143, 65, 137)(57, 129, 69, 141, 72, 144, 66, 138)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 156, 228)(149, 221, 161, 233)(150, 222, 158, 230)(151, 223, 166, 238)(153, 225, 170, 242)(154, 226, 172, 244)(155, 227, 178, 250)(157, 229, 169, 241)(159, 231, 179, 251)(160, 232, 173, 245)(162, 234, 181, 253)(163, 235, 182, 254)(164, 236, 180, 252)(165, 237, 175, 247)(167, 239, 189, 261)(168, 240, 191, 263)(171, 243, 188, 260)(174, 246, 192, 264)(176, 248, 194, 266)(177, 249, 199, 271)(183, 255, 200, 272)(184, 256, 190, 262)(185, 257, 193, 265)(186, 258, 195, 267)(187, 259, 201, 273)(196, 268, 208, 280)(197, 269, 209, 281)(198, 270, 210, 282)(202, 274, 211, 283)(203, 275, 212, 284)(204, 276, 213, 285)(205, 277, 214, 286)(206, 278, 215, 287)(207, 279, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 162)(6, 145)(7, 167)(8, 170)(9, 172)(10, 146)(11, 179)(12, 150)(13, 173)(14, 147)(15, 180)(16, 175)(17, 181)(18, 182)(19, 149)(20, 178)(21, 169)(22, 189)(23, 191)(24, 151)(25, 160)(26, 154)(27, 192)(28, 152)(29, 165)(30, 194)(31, 157)(32, 188)(33, 200)(34, 159)(35, 164)(36, 155)(37, 163)(38, 161)(39, 201)(40, 193)(41, 195)(42, 190)(43, 199)(44, 174)(45, 168)(46, 185)(47, 166)(48, 176)(49, 186)(50, 171)(51, 184)(52, 209)(53, 210)(54, 208)(55, 183)(56, 187)(57, 177)(58, 212)(59, 213)(60, 211)(61, 215)(62, 216)(63, 214)(64, 197)(65, 198)(66, 196)(67, 203)(68, 204)(69, 202)(70, 206)(71, 207)(72, 205)(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) :: { ( 6^4 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1243
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y1)^3, (Y3 * Y1^-1)^3, (Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 5, 77)(3, 75, 9, 81, 25, 97, 11, 83)(4, 76, 12, 84, 31, 103, 14, 86)(7, 79, 19, 91, 42, 114, 21, 93)(8, 80, 22, 94, 46, 118, 24, 96)(10, 82, 23, 95, 37, 109, 29, 101)(13, 85, 20, 92, 40, 112, 33, 105)(15, 87, 34, 106, 50, 122, 26, 98)(16, 88, 35, 107, 55, 127, 32, 104)(17, 89, 36, 108, 57, 129, 38, 110)(18, 90, 39, 111, 61, 133, 41, 113)(27, 99, 51, 123, 60, 132, 52, 124)(28, 100, 49, 121, 64, 136, 43, 115)(30, 102, 53, 125, 58, 130, 44, 116)(45, 117, 65, 137, 56, 128, 59, 131)(47, 119, 67, 139, 70, 142, 62, 134)(48, 120, 68, 140, 71, 143, 66, 138)(54, 126, 69, 141, 72, 144, 63, 135)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 157, 229)(149, 221, 159, 231)(150, 222, 161, 233)(152, 224, 167, 239)(153, 225, 170, 242)(154, 226, 172, 244)(155, 227, 163, 235)(156, 228, 171, 243)(158, 230, 174, 246)(160, 232, 173, 245)(162, 234, 184, 256)(164, 236, 188, 260)(165, 237, 180, 252)(166, 238, 187, 259)(168, 240, 189, 261)(169, 241, 191, 263)(175, 247, 198, 270)(176, 248, 193, 265)(177, 249, 195, 267)(178, 250, 182, 254)(179, 251, 200, 272)(181, 253, 203, 275)(183, 255, 202, 274)(185, 257, 204, 276)(186, 258, 206, 278)(190, 262, 210, 282)(192, 264, 208, 280)(194, 266, 211, 283)(196, 268, 213, 285)(197, 269, 207, 279)(199, 271, 212, 284)(201, 273, 214, 286)(205, 277, 216, 288)(209, 281, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 160)(6, 162)(7, 164)(8, 146)(9, 171)(10, 147)(11, 174)(12, 176)(13, 172)(14, 166)(15, 177)(16, 149)(17, 181)(18, 150)(19, 187)(20, 151)(21, 189)(22, 158)(23, 188)(24, 183)(25, 192)(26, 193)(27, 153)(28, 157)(29, 195)(30, 155)(31, 191)(32, 156)(33, 159)(34, 200)(35, 185)(36, 202)(37, 161)(38, 204)(39, 168)(40, 203)(41, 179)(42, 207)(43, 163)(44, 167)(45, 165)(46, 206)(47, 175)(48, 169)(49, 170)(50, 213)(51, 173)(52, 212)(53, 210)(54, 208)(55, 211)(56, 178)(57, 215)(58, 180)(59, 184)(60, 182)(61, 214)(62, 190)(63, 186)(64, 198)(65, 216)(66, 197)(67, 199)(68, 196)(69, 194)(70, 205)(71, 201)(72, 209)(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) :: { ( 6^4 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1242
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2, Y1^-1), (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 8, 80, 14, 86)(4, 76, 9, 81, 17, 89)(6, 78, 10, 82, 18, 90)(7, 79, 11, 83, 19, 91)(12, 84, 23, 95, 31, 103)(13, 85, 24, 96, 34, 106)(15, 87, 25, 97, 35, 107)(16, 88, 26, 98, 38, 110)(20, 92, 27, 99, 39, 111)(21, 93, 28, 100, 40, 112)(22, 94, 29, 101, 41, 113)(30, 102, 44, 116, 52, 124)(32, 104, 45, 117, 53, 125)(33, 105, 46, 118, 56, 128)(36, 108, 47, 119, 57, 129)(37, 109, 48, 120, 59, 131)(42, 114, 49, 121, 60, 132)(43, 115, 50, 122, 61, 133)(51, 123, 62, 134, 67, 139)(54, 126, 63, 135, 68, 140)(55, 127, 64, 136, 69, 141)(58, 130, 65, 137, 70, 142)(66, 138, 71, 143, 72, 144)(145, 217, 147, 219, 156, 228, 150, 222)(146, 218, 152, 224, 167, 239, 154, 226)(148, 220, 160, 232, 180, 252, 159, 231)(149, 221, 158, 230, 175, 247, 162, 234)(151, 223, 164, 236, 186, 258, 166, 238)(153, 225, 170, 242, 191, 263, 169, 241)(155, 227, 171, 243, 193, 265, 173, 245)(157, 229, 177, 249, 198, 270, 176, 248)(161, 233, 182, 254, 201, 273, 179, 251)(163, 235, 183, 255, 204, 276, 185, 257)(165, 237, 174, 246, 195, 267, 187, 259)(168, 240, 190, 262, 207, 279, 189, 261)(172, 244, 188, 260, 206, 278, 194, 266)(178, 250, 200, 272, 212, 284, 197, 269)(181, 253, 202, 274, 210, 282, 199, 271)(184, 256, 196, 268, 211, 283, 205, 277)(192, 264, 209, 281, 215, 287, 208, 280)(203, 275, 214, 286, 216, 288, 213, 285)
	L = (1, 148)(2, 153)(3, 157)(4, 151)(5, 161)(6, 164)(7, 145)(8, 168)(9, 155)(10, 171)(11, 146)(12, 174)(13, 159)(14, 178)(15, 147)(16, 181)(17, 163)(18, 183)(19, 149)(20, 165)(21, 150)(22, 160)(23, 188)(24, 169)(25, 152)(26, 192)(27, 172)(28, 154)(29, 170)(30, 176)(31, 196)(32, 156)(33, 199)(34, 179)(35, 158)(36, 177)(37, 166)(38, 203)(39, 184)(40, 162)(41, 182)(42, 202)(43, 186)(44, 189)(45, 167)(46, 208)(47, 190)(48, 173)(49, 209)(50, 193)(51, 210)(52, 197)(53, 175)(54, 195)(55, 180)(56, 213)(57, 200)(58, 187)(59, 185)(60, 214)(61, 204)(62, 215)(63, 206)(64, 191)(65, 194)(66, 198)(67, 216)(68, 211)(69, 201)(70, 205)(71, 207)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1239
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y3^-1, Y1), (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y2^4, Y2 * Y1^-1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * R * Y2^-1 * Y1^-1 * Y2 * R * Y2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 22, 94, 24, 96)(7, 79, 11, 83, 21, 93)(8, 80, 27, 99, 25, 97)(10, 82, 31, 103, 17, 89)(13, 85, 36, 108, 38, 110)(14, 86, 30, 102, 20, 92)(16, 88, 35, 107, 43, 115)(19, 91, 26, 98, 33, 105)(23, 95, 29, 101, 51, 123)(28, 100, 55, 127, 57, 129)(32, 104, 46, 118, 45, 117)(34, 106, 60, 132, 40, 112)(37, 109, 58, 130, 42, 114)(39, 111, 48, 120, 54, 126)(41, 113, 44, 116, 61, 133)(47, 119, 67, 139, 62, 134)(49, 121, 59, 131, 50, 122)(52, 124, 53, 125, 56, 128)(63, 135, 72, 144, 64, 136)(65, 137, 66, 138, 70, 142)(68, 140, 71, 143, 69, 141)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 172, 244, 154, 226)(148, 220, 161, 233, 188, 260, 160, 232)(149, 221, 163, 235, 191, 263, 164, 236)(151, 223, 167, 239, 194, 266, 170, 242)(153, 225, 174, 246, 202, 274, 173, 245)(155, 227, 176, 248, 178, 250, 156, 228)(158, 230, 184, 256, 210, 282, 183, 255)(159, 231, 185, 257, 212, 284, 186, 258)(162, 234, 168, 240, 196, 268, 190, 262)(165, 237, 187, 259, 198, 270, 171, 243)(166, 238, 192, 264, 213, 285, 193, 265)(169, 241, 181, 253, 208, 280, 197, 269)(175, 247, 203, 275, 216, 288, 204, 276)(177, 249, 200, 272, 214, 286, 205, 277)(179, 251, 206, 278, 207, 279, 180, 252)(182, 254, 209, 281, 199, 271, 195, 267)(189, 261, 201, 273, 215, 287, 211, 283)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 167)(7, 145)(8, 166)(9, 155)(10, 176)(11, 146)(12, 174)(13, 181)(14, 160)(15, 164)(16, 147)(17, 189)(18, 165)(19, 175)(20, 187)(21, 149)(22, 173)(23, 169)(24, 195)(25, 150)(26, 161)(27, 168)(28, 200)(29, 152)(30, 179)(31, 190)(32, 177)(33, 154)(34, 206)(35, 156)(36, 202)(37, 183)(38, 186)(39, 157)(40, 211)(41, 204)(42, 198)(43, 159)(44, 184)(45, 170)(46, 163)(47, 185)(48, 180)(49, 172)(50, 201)(51, 171)(52, 203)(53, 194)(54, 182)(55, 196)(56, 193)(57, 197)(58, 192)(59, 199)(60, 191)(61, 178)(62, 205)(63, 213)(64, 215)(65, 216)(66, 208)(67, 188)(68, 209)(69, 214)(70, 207)(71, 210)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1238
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, Y2^4, (Y1, Y3^-1), Y2 * Y3 * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y3, Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 22, 94, 24, 96)(7, 79, 11, 83, 21, 93)(8, 80, 27, 99, 26, 98)(10, 82, 31, 103, 14, 86)(13, 85, 36, 108, 38, 110)(16, 88, 32, 104, 42, 114)(17, 89, 29, 101, 20, 92)(19, 91, 25, 97, 33, 105)(23, 95, 49, 121, 45, 117)(28, 100, 56, 128, 57, 129)(30, 102, 47, 119, 44, 116)(34, 106, 55, 127, 43, 115)(35, 107, 60, 132, 37, 109)(39, 111, 61, 133, 51, 123)(40, 112, 58, 130, 41, 113)(46, 118, 67, 139, 68, 140)(48, 120, 54, 126, 53, 125)(50, 122, 59, 131, 52, 124)(62, 134, 69, 141, 71, 143)(63, 135, 70, 142, 66, 138)(64, 136, 72, 144, 65, 137)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 172, 244, 154, 226)(148, 220, 161, 233, 187, 259, 160, 232)(149, 221, 163, 235, 190, 262, 164, 236)(151, 223, 167, 239, 194, 266, 170, 242)(153, 225, 166, 238, 192, 264, 174, 246)(155, 227, 176, 248, 205, 277, 177, 249)(156, 228, 178, 250, 206, 278, 179, 251)(158, 230, 184, 256, 210, 282, 183, 255)(159, 231, 165, 237, 191, 263, 185, 257)(162, 234, 175, 247, 204, 276, 189, 261)(168, 240, 195, 267, 213, 285, 196, 268)(169, 241, 181, 253, 208, 280, 197, 269)(171, 243, 198, 270, 214, 286, 199, 271)(173, 245, 203, 275, 216, 288, 202, 274)(180, 252, 207, 279, 212, 284, 193, 265)(182, 254, 186, 258, 200, 272, 209, 281)(188, 260, 211, 283, 215, 287, 201, 273)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 167)(7, 145)(8, 173)(9, 155)(10, 176)(11, 146)(12, 154)(13, 181)(14, 160)(15, 175)(16, 147)(17, 188)(18, 165)(19, 168)(20, 191)(21, 149)(22, 193)(23, 169)(24, 189)(25, 150)(26, 161)(27, 164)(28, 178)(29, 174)(30, 152)(31, 186)(32, 156)(33, 166)(34, 202)(35, 205)(36, 179)(37, 183)(38, 204)(39, 157)(40, 201)(41, 200)(42, 159)(43, 184)(44, 170)(45, 163)(46, 198)(47, 171)(48, 203)(49, 177)(50, 211)(51, 182)(52, 190)(53, 194)(54, 196)(55, 185)(56, 199)(57, 187)(58, 172)(59, 212)(60, 195)(61, 180)(62, 207)(63, 216)(64, 215)(65, 213)(66, 208)(67, 197)(68, 192)(69, 214)(70, 209)(71, 210)(72, 206)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1240
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y3)^2, (Y3 * Y2^-1)^2, Y2^4, (R * Y1)^2, R * Y2 * R * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, (Y1^-1 * R * Y2^-1)^2, Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^2, (Y1 * Y3)^3, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 24, 96, 26, 98)(7, 79, 28, 100, 29, 101)(8, 80, 31, 103, 30, 102)(9, 81, 35, 107, 36, 108)(10, 82, 37, 109, 14, 86)(11, 83, 39, 111, 40, 112)(13, 85, 44, 116, 45, 117)(16, 88, 49, 121, 50, 122)(18, 90, 41, 113, 20, 92)(21, 93, 59, 131, 60, 132)(22, 94, 27, 99, 33, 105)(23, 95, 47, 119, 52, 124)(25, 97, 43, 115, 55, 127)(32, 104, 63, 135, 65, 137)(34, 106, 67, 139, 68, 140)(38, 110, 48, 120, 69, 141)(42, 114, 64, 136, 51, 123)(46, 118, 66, 138, 56, 128)(53, 125, 61, 133, 54, 126)(57, 129, 70, 142, 62, 134)(58, 130, 72, 144, 71, 143)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 176, 248, 154, 226)(148, 220, 162, 234, 195, 267, 160, 232)(149, 221, 164, 236, 201, 273, 166, 238)(151, 223, 169, 241, 184, 256, 174, 246)(153, 225, 156, 228, 186, 258, 178, 250)(155, 227, 182, 254, 196, 268, 185, 257)(158, 230, 191, 263, 216, 288, 190, 262)(159, 231, 167, 239, 205, 277, 173, 245)(161, 233, 168, 240, 204, 276, 197, 269)(163, 235, 199, 271, 179, 251, 181, 253)(165, 237, 175, 247, 208, 280, 202, 274)(170, 242, 183, 255, 211, 283, 200, 272)(171, 243, 180, 252, 213, 285, 203, 275)(172, 244, 193, 265, 210, 282, 177, 249)(187, 259, 188, 260, 215, 287, 206, 278)(189, 261, 192, 264, 207, 279, 194, 266)(198, 270, 214, 286, 212, 284, 209, 281)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 165)(6, 169)(7, 145)(8, 177)(9, 155)(10, 182)(11, 146)(12, 187)(13, 180)(14, 160)(15, 175)(16, 147)(17, 196)(18, 198)(19, 200)(20, 170)(21, 167)(22, 205)(23, 149)(24, 154)(25, 171)(26, 202)(27, 150)(28, 206)(29, 207)(30, 162)(31, 192)(32, 204)(33, 178)(34, 152)(35, 173)(36, 190)(37, 166)(38, 168)(39, 189)(40, 214)(41, 156)(42, 172)(43, 185)(44, 161)(45, 208)(46, 157)(47, 209)(48, 159)(49, 197)(50, 211)(51, 191)(52, 188)(53, 215)(54, 174)(55, 194)(56, 201)(57, 163)(58, 164)(59, 184)(60, 210)(61, 181)(62, 186)(63, 179)(64, 183)(65, 195)(66, 176)(67, 199)(68, 216)(69, 212)(70, 203)(71, 193)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1241
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1)^2, (Y1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 16, 88)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 23, 95)(12, 84, 24, 96)(14, 86, 25, 97)(15, 87, 28, 100)(17, 89, 31, 103)(18, 90, 32, 104)(20, 92, 33, 105)(21, 93, 36, 108)(26, 98, 38, 110)(27, 99, 45, 117)(29, 101, 48, 120)(30, 102, 34, 106)(35, 107, 55, 127)(37, 109, 58, 130)(39, 111, 57, 129)(40, 112, 59, 131)(41, 113, 60, 132)(42, 114, 53, 125)(43, 115, 52, 124)(44, 116, 61, 133)(46, 118, 63, 135)(47, 119, 49, 121)(50, 122, 64, 136)(51, 123, 65, 137)(54, 126, 66, 138)(56, 128, 68, 140)(62, 134, 67, 139)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 169, 241, 167, 239)(160, 232, 172, 244, 168, 240)(163, 235, 177, 249, 175, 247)(166, 238, 180, 252, 176, 248)(170, 242, 187, 259, 183, 255)(171, 243, 188, 260, 184, 256)(173, 245, 190, 262, 185, 257)(174, 246, 191, 263, 186, 258)(178, 250, 197, 269, 193, 265)(179, 251, 198, 270, 194, 266)(181, 253, 200, 272, 195, 267)(182, 254, 201, 273, 196, 268)(189, 261, 203, 275, 205, 277)(192, 264, 204, 276, 207, 279)(199, 271, 208, 280, 210, 282)(202, 274, 209, 281, 212, 284)(206, 278, 213, 285, 214, 286)(211, 283, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 150)(5, 158)(6, 145)(7, 161)(8, 154)(9, 164)(10, 146)(11, 156)(12, 147)(13, 170)(14, 159)(15, 149)(16, 173)(17, 162)(18, 151)(19, 178)(20, 165)(21, 153)(22, 181)(23, 183)(24, 185)(25, 187)(26, 171)(27, 157)(28, 190)(29, 174)(30, 160)(31, 193)(32, 195)(33, 197)(34, 179)(35, 163)(36, 200)(37, 182)(38, 166)(39, 184)(40, 167)(41, 186)(42, 168)(43, 188)(44, 169)(45, 206)(46, 191)(47, 172)(48, 189)(49, 194)(50, 175)(51, 196)(52, 176)(53, 198)(54, 177)(55, 211)(56, 201)(57, 180)(58, 199)(59, 213)(60, 203)(61, 214)(62, 192)(63, 205)(64, 215)(65, 208)(66, 216)(67, 202)(68, 210)(69, 204)(70, 207)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1255
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3), (Y2^-1, Y3^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1, (Y1 * Y2^-1)^4, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 31, 103)(13, 85, 23, 95)(15, 87, 21, 93)(17, 89, 38, 110)(20, 92, 45, 117)(25, 97, 52, 124)(27, 99, 50, 122)(28, 100, 51, 123)(29, 101, 55, 127)(30, 102, 56, 128)(32, 104, 54, 126)(33, 105, 57, 129)(34, 106, 58, 130)(35, 107, 59, 131)(36, 108, 41, 113)(37, 109, 42, 114)(39, 111, 60, 132)(40, 112, 46, 118)(43, 115, 61, 133)(44, 116, 62, 134)(47, 119, 63, 135)(48, 120, 64, 136)(49, 121, 65, 137)(53, 125, 66, 138)(67, 139, 70, 142)(68, 140, 72, 144)(69, 141, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 176, 248, 174, 246)(160, 232, 178, 250, 180, 252)(162, 234, 179, 251, 184, 256)(163, 235, 185, 257, 187, 259)(166, 238, 190, 262, 188, 260)(168, 240, 192, 264, 194, 266)(170, 242, 193, 265, 198, 270)(172, 244, 177, 249, 182, 254)(175, 247, 183, 255, 181, 253)(186, 258, 191, 263, 196, 268)(189, 261, 197, 269, 195, 267)(199, 271, 211, 283, 202, 274)(200, 272, 212, 284, 204, 276)(201, 273, 213, 285, 203, 275)(205, 277, 214, 286, 208, 280)(206, 278, 215, 287, 210, 282)(207, 279, 216, 288, 209, 281)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 171)(15, 161)(16, 179)(17, 149)(18, 183)(19, 186)(20, 165)(21, 151)(22, 185)(23, 169)(24, 193)(25, 153)(26, 197)(27, 177)(28, 174)(29, 182)(30, 155)(31, 178)(32, 173)(33, 158)(34, 184)(35, 181)(36, 162)(37, 160)(38, 176)(39, 180)(40, 175)(41, 191)(42, 188)(43, 196)(44, 163)(45, 192)(46, 187)(47, 166)(48, 198)(49, 195)(50, 170)(51, 168)(52, 190)(53, 194)(54, 189)(55, 212)(56, 213)(57, 211)(58, 200)(59, 199)(60, 201)(61, 215)(62, 216)(63, 214)(64, 206)(65, 205)(66, 207)(67, 204)(68, 203)(69, 202)(70, 210)(71, 209)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1254
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y2^-1, Y3), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2 * Y3)^2, Y1 * Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 14, 86)(5, 77, 16, 88)(6, 78, 18, 90)(7, 79, 19, 91)(8, 80, 22, 94)(9, 81, 24, 96)(10, 82, 26, 98)(12, 84, 25, 97)(13, 85, 31, 103)(15, 87, 36, 108)(17, 89, 20, 92)(21, 93, 45, 117)(23, 95, 50, 122)(27, 99, 47, 119)(28, 100, 55, 127)(29, 101, 56, 128)(30, 102, 52, 124)(32, 104, 57, 129)(33, 105, 41, 113)(34, 106, 53, 125)(35, 107, 58, 130)(37, 109, 59, 131)(38, 110, 44, 116)(39, 111, 48, 120)(40, 112, 60, 132)(42, 114, 61, 133)(43, 115, 62, 134)(46, 118, 63, 135)(49, 121, 64, 136)(51, 123, 65, 137)(54, 126, 66, 138)(67, 139, 71, 143)(68, 140, 70, 142)(69, 141, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 176, 248, 178, 250)(160, 232, 181, 253, 177, 249)(162, 234, 183, 255, 172, 244)(163, 235, 185, 257, 187, 259)(166, 238, 190, 262, 192, 264)(168, 240, 195, 267, 191, 263)(170, 242, 197, 269, 186, 258)(174, 246, 184, 256, 180, 252)(175, 247, 179, 251, 182, 254)(188, 260, 198, 270, 194, 266)(189, 261, 193, 265, 196, 268)(199, 271, 211, 283, 202, 274)(200, 272, 213, 285, 203, 275)(201, 273, 204, 276, 212, 284)(205, 277, 214, 286, 208, 280)(206, 278, 216, 288, 209, 281)(207, 279, 210, 282, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 150)(5, 159)(6, 145)(7, 164)(8, 154)(9, 167)(10, 146)(11, 172)(12, 157)(13, 147)(14, 177)(15, 161)(16, 182)(17, 149)(18, 184)(19, 186)(20, 165)(21, 151)(22, 191)(23, 169)(24, 196)(25, 153)(26, 198)(27, 162)(28, 174)(29, 183)(30, 155)(31, 178)(32, 160)(33, 179)(34, 181)(35, 158)(36, 173)(37, 175)(38, 176)(39, 180)(40, 171)(41, 170)(42, 188)(43, 197)(44, 163)(45, 192)(46, 168)(47, 193)(48, 195)(49, 166)(50, 187)(51, 189)(52, 190)(53, 194)(54, 185)(55, 203)(56, 201)(57, 211)(58, 213)(59, 212)(60, 202)(61, 209)(62, 207)(63, 214)(64, 216)(65, 215)(66, 208)(67, 200)(68, 199)(69, 204)(70, 206)(71, 205)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1256
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y2^-1)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2^-1, (Y3^-1 * R * Y2^-1)^2, (Y2^-1 * Y3)^3, (Y3 * Y2 * Y1)^2, (Y3^-1 * Y1)^4, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 13, 85)(5, 77, 7, 79)(6, 78, 18, 90)(8, 80, 23, 95)(10, 82, 28, 100)(11, 83, 31, 103)(12, 84, 34, 106)(14, 86, 27, 99)(15, 87, 37, 109)(16, 88, 29, 101)(17, 89, 24, 96)(19, 91, 26, 98)(20, 92, 45, 117)(21, 93, 35, 107)(22, 94, 32, 104)(25, 97, 44, 116)(30, 102, 43, 115)(33, 105, 51, 123)(36, 108, 39, 111)(38, 110, 57, 129)(40, 112, 60, 132)(41, 113, 55, 127)(42, 114, 54, 126)(46, 118, 66, 138)(47, 119, 52, 124)(48, 120, 64, 136)(49, 121, 67, 139)(50, 122, 53, 125)(56, 128, 72, 144)(58, 130, 62, 134)(59, 131, 69, 141)(61, 133, 68, 140)(63, 135, 70, 142)(65, 137, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 159, 231)(150, 222, 163, 235, 164, 236)(152, 224, 168, 240, 169, 241)(154, 226, 173, 245, 174, 246)(155, 227, 176, 248, 177, 249)(156, 228, 179, 251, 180, 252)(157, 229, 181, 253, 171, 243)(160, 232, 172, 244, 187, 259)(161, 233, 167, 239, 188, 260)(162, 234, 189, 261, 170, 242)(165, 237, 178, 250, 183, 255)(166, 238, 175, 247, 195, 267)(182, 254, 198, 270, 203, 275)(184, 256, 205, 277, 200, 272)(185, 257, 193, 265, 196, 268)(186, 258, 201, 273, 213, 285)(190, 262, 197, 269, 207, 279)(191, 263, 211, 283, 199, 271)(192, 264, 206, 278, 209, 281)(194, 266, 210, 282, 214, 286)(202, 274, 208, 280, 215, 287)(204, 276, 216, 288, 212, 284)
	L = (1, 148)(2, 152)(3, 155)(4, 150)(5, 160)(6, 145)(7, 165)(8, 154)(9, 170)(10, 146)(11, 156)(12, 147)(13, 182)(14, 184)(15, 179)(16, 161)(17, 149)(18, 190)(19, 192)(20, 193)(21, 166)(22, 151)(23, 196)(24, 197)(25, 175)(26, 171)(27, 153)(28, 200)(29, 202)(30, 203)(31, 199)(32, 205)(33, 167)(34, 207)(35, 186)(36, 209)(37, 211)(38, 183)(39, 157)(40, 185)(41, 158)(42, 159)(43, 163)(44, 213)(45, 173)(46, 191)(47, 162)(48, 187)(49, 194)(50, 164)(51, 215)(52, 177)(53, 198)(54, 168)(55, 169)(56, 201)(57, 172)(58, 189)(59, 204)(60, 174)(61, 206)(62, 176)(63, 208)(64, 178)(65, 210)(66, 180)(67, 212)(68, 181)(69, 214)(70, 188)(71, 216)(72, 195)(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) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1257
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y2^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 8, 80)(4, 76, 9, 81, 17, 89)(6, 78, 18, 90, 10, 82)(7, 79, 11, 83, 19, 91)(13, 85, 23, 95, 30, 102)(14, 86, 31, 103, 24, 96)(15, 87, 32, 104, 25, 97)(16, 88, 37, 109, 26, 98)(20, 92, 39, 111, 27, 99)(21, 93, 40, 112, 28, 100)(22, 94, 41, 113, 29, 101)(33, 105, 44, 116, 51, 123)(34, 106, 45, 117, 52, 124)(35, 107, 46, 118, 53, 125)(36, 108, 47, 119, 54, 126)(38, 110, 58, 130, 48, 120)(42, 114, 49, 121, 60, 132)(43, 115, 50, 122, 61, 133)(55, 127, 66, 138, 62, 134)(56, 128, 67, 139, 63, 135)(57, 129, 64, 136, 68, 140)(59, 131, 65, 137, 70, 142)(69, 141, 72, 144, 71, 143)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 167, 239, 154, 226)(148, 220, 160, 232, 180, 252, 159, 231)(149, 221, 156, 228, 174, 246, 162, 234)(151, 223, 164, 236, 186, 258, 166, 238)(153, 225, 170, 242, 191, 263, 169, 241)(155, 227, 171, 243, 193, 265, 173, 245)(158, 230, 179, 251, 200, 272, 178, 250)(161, 233, 181, 253, 198, 270, 176, 248)(163, 235, 183, 255, 204, 276, 185, 257)(165, 237, 177, 249, 199, 271, 187, 259)(168, 240, 190, 262, 207, 279, 189, 261)(172, 244, 188, 260, 206, 278, 194, 266)(175, 247, 197, 269, 211, 283, 196, 268)(182, 254, 203, 275, 213, 285, 201, 273)(184, 256, 195, 267, 210, 282, 205, 277)(192, 264, 209, 281, 215, 287, 208, 280)(202, 274, 214, 286, 216, 288, 212, 284)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 161)(6, 164)(7, 145)(8, 168)(9, 155)(10, 171)(11, 146)(12, 175)(13, 177)(14, 159)(15, 147)(16, 182)(17, 163)(18, 183)(19, 149)(20, 165)(21, 150)(22, 160)(23, 188)(24, 169)(25, 152)(26, 192)(27, 172)(28, 154)(29, 170)(30, 195)(31, 176)(32, 156)(33, 178)(34, 157)(35, 201)(36, 179)(37, 202)(38, 166)(39, 184)(40, 162)(41, 181)(42, 203)(43, 186)(44, 189)(45, 167)(46, 208)(47, 190)(48, 173)(49, 209)(50, 193)(51, 196)(52, 174)(53, 212)(54, 197)(55, 213)(56, 199)(57, 180)(58, 185)(59, 187)(60, 214)(61, 204)(62, 215)(63, 206)(64, 191)(65, 194)(66, 216)(67, 210)(68, 198)(69, 200)(70, 205)(71, 207)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1251
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3^-1, Y1), (Y2^-1 * Y1^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 9, 81, 18, 90)(6, 78, 21, 93, 8, 80)(7, 79, 11, 83, 20, 92)(10, 82, 29, 101, 19, 91)(13, 85, 36, 108, 38, 110)(14, 86, 33, 105, 32, 104)(16, 88, 35, 107, 28, 100)(17, 89, 43, 115, 31, 103)(22, 94, 46, 118, 26, 98)(23, 95, 44, 116, 27, 99)(24, 96, 45, 117, 30, 102)(25, 97, 47, 119, 51, 123)(34, 106, 55, 127, 41, 113)(37, 109, 54, 126, 61, 133)(39, 111, 53, 125, 58, 130)(40, 112, 56, 128, 60, 132)(42, 114, 57, 129, 59, 131)(48, 120, 52, 124, 67, 139)(49, 121, 50, 122, 66, 138)(62, 134, 69, 141, 64, 136)(63, 135, 71, 143, 68, 140)(65, 137, 72, 144, 70, 142)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 169, 241, 154, 226)(148, 220, 161, 233, 186, 258, 160, 232)(149, 221, 163, 235, 178, 250, 156, 228)(151, 223, 166, 238, 192, 264, 168, 240)(153, 225, 172, 244, 198, 270, 171, 243)(155, 227, 174, 246, 200, 272, 176, 248)(158, 230, 184, 256, 209, 281, 183, 255)(159, 231, 185, 257, 206, 278, 180, 252)(162, 234, 188, 260, 210, 282, 187, 259)(164, 236, 177, 249, 202, 274, 190, 262)(165, 237, 182, 254, 208, 280, 191, 263)(167, 239, 181, 253, 207, 279, 193, 265)(170, 242, 197, 269, 214, 286, 196, 268)(173, 245, 195, 267, 213, 285, 199, 271)(175, 247, 194, 266, 212, 284, 201, 273)(179, 251, 203, 275, 215, 287, 205, 277)(189, 261, 211, 283, 216, 288, 204, 276)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 162)(6, 166)(7, 145)(8, 170)(9, 155)(10, 174)(11, 146)(12, 177)(13, 181)(14, 160)(15, 176)(16, 147)(17, 173)(18, 164)(19, 189)(20, 149)(21, 190)(22, 167)(23, 150)(24, 161)(25, 194)(26, 171)(27, 152)(28, 159)(29, 168)(30, 175)(31, 154)(32, 172)(33, 179)(34, 203)(35, 156)(36, 198)(37, 183)(38, 205)(39, 157)(40, 199)(41, 201)(42, 184)(43, 163)(44, 165)(45, 187)(46, 188)(47, 210)(48, 195)(49, 192)(50, 196)(51, 193)(52, 169)(53, 180)(54, 197)(55, 186)(56, 185)(57, 200)(58, 182)(59, 204)(60, 178)(61, 202)(62, 214)(63, 213)(64, 216)(65, 207)(66, 211)(67, 191)(68, 206)(69, 209)(70, 212)(71, 208)(72, 215)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1250
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y2^-1 * Y1)^2, (Y3, Y1), (Y3 * Y2^-1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y2^-1 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1, (Y2 * Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * R * Y2^-2 * Y1 * R * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 10, 82)(4, 76, 9, 81, 17, 89)(6, 78, 18, 90, 22, 94)(7, 79, 11, 83, 20, 92)(8, 80, 25, 97, 19, 91)(13, 85, 37, 109, 35, 107)(14, 86, 34, 106, 30, 102)(15, 87, 36, 108, 31, 103)(16, 88, 42, 114, 28, 100)(21, 93, 45, 117, 32, 104)(23, 95, 43, 115, 29, 101)(24, 96, 46, 118, 27, 99)(26, 98, 33, 105, 51, 123)(38, 110, 57, 129, 61, 133)(39, 111, 56, 128, 62, 134)(40, 112, 53, 125, 60, 132)(41, 113, 52, 124, 59, 131)(44, 116, 50, 122, 48, 120)(47, 119, 54, 126, 67, 139)(49, 121, 55, 127, 66, 138)(58, 130, 63, 135, 68, 140)(64, 136, 72, 144, 69, 141)(65, 137, 71, 143, 70, 142)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 170, 242, 154, 226)(148, 220, 160, 232, 185, 257, 159, 231)(149, 221, 162, 234, 188, 260, 163, 235)(151, 223, 165, 237, 191, 263, 168, 240)(153, 225, 173, 245, 199, 271, 172, 244)(155, 227, 174, 246, 200, 272, 176, 248)(156, 228, 177, 249, 202, 274, 179, 251)(158, 230, 184, 256, 209, 281, 183, 255)(161, 233, 180, 252, 205, 277, 187, 259)(164, 236, 190, 262, 204, 276, 178, 250)(166, 238, 181, 253, 207, 279, 192, 264)(167, 239, 182, 254, 208, 280, 193, 265)(169, 241, 194, 266, 212, 284, 195, 267)(171, 243, 198, 270, 214, 286, 197, 269)(175, 247, 196, 268, 213, 285, 201, 273)(186, 258, 210, 282, 216, 288, 203, 275)(189, 261, 206, 278, 215, 287, 211, 283)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 161)(6, 165)(7, 145)(8, 171)(9, 155)(10, 174)(11, 146)(12, 178)(13, 182)(14, 159)(15, 147)(16, 169)(17, 164)(18, 189)(19, 190)(20, 149)(21, 167)(22, 176)(23, 150)(24, 160)(25, 168)(26, 196)(27, 172)(28, 152)(29, 166)(30, 175)(31, 154)(32, 173)(33, 203)(34, 180)(35, 205)(36, 156)(37, 201)(38, 183)(39, 157)(40, 195)(41, 184)(42, 163)(43, 162)(44, 210)(45, 187)(46, 186)(47, 194)(48, 199)(49, 191)(50, 193)(51, 185)(52, 197)(53, 170)(54, 192)(55, 198)(56, 181)(57, 200)(58, 215)(59, 204)(60, 177)(61, 206)(62, 179)(63, 214)(64, 212)(65, 208)(66, 211)(67, 188)(68, 209)(69, 207)(70, 213)(71, 216)(72, 202)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1252
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 4})
Quotient :: dipole
Aut^+ = (C3 x A4) : C2 (small group id <72, 43>)
Aut   = C2 x ((C3 x A4) : C2) (small group id <144, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^3, (Y3 * Y2^-1)^2, Y2^4, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y2^-1)^2, Y2^-2 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2, (Y2 * Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * R * Y2^-1 * Y1^-1 * Y3 * R * Y2^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 23, 95, 8, 80)(7, 79, 26, 98, 27, 99)(9, 81, 32, 104, 34, 106)(10, 82, 35, 107, 20, 92)(11, 83, 38, 110, 39, 111)(13, 85, 44, 116, 45, 117)(14, 86, 47, 119, 40, 112)(16, 88, 52, 124, 37, 109)(18, 90, 43, 115, 31, 103)(21, 93, 60, 132, 61, 133)(22, 94, 48, 120, 54, 126)(24, 96, 41, 113, 36, 108)(25, 97, 59, 131, 33, 105)(28, 100, 58, 130, 50, 122)(29, 101, 63, 135, 65, 137)(30, 102, 67, 139, 62, 134)(42, 114, 70, 142, 49, 121)(46, 118, 66, 138, 57, 129)(51, 123, 69, 141, 56, 128)(53, 125, 64, 136, 71, 143)(55, 127, 72, 144, 68, 140)(145, 217, 147, 219, 157, 229, 150, 222)(146, 218, 152, 224, 173, 245, 154, 226)(148, 220, 162, 234, 197, 269, 160, 232)(149, 221, 164, 236, 186, 258, 156, 228)(151, 223, 168, 240, 183, 255, 172, 244)(153, 225, 177, 249, 208, 280, 175, 247)(155, 227, 180, 252, 198, 270, 184, 256)(158, 230, 192, 264, 211, 283, 190, 262)(159, 231, 193, 265, 212, 284, 188, 260)(161, 233, 181, 253, 205, 277, 195, 267)(163, 235, 200, 272, 176, 248, 187, 259)(165, 237, 196, 268, 215, 287, 203, 275)(166, 238, 185, 257, 171, 243, 206, 278)(167, 239, 189, 261, 216, 288, 207, 279)(169, 241, 178, 250, 213, 285, 204, 276)(170, 242, 194, 266, 210, 282, 174, 246)(179, 251, 209, 281, 199, 271, 214, 286)(182, 254, 191, 263, 201, 273, 202, 274)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 165)(6, 168)(7, 145)(8, 174)(9, 155)(10, 180)(11, 146)(12, 185)(13, 178)(14, 160)(15, 194)(16, 147)(17, 198)(18, 199)(19, 201)(20, 202)(21, 166)(22, 149)(23, 191)(24, 169)(25, 150)(26, 193)(27, 207)(28, 162)(29, 205)(30, 175)(31, 152)(32, 171)(33, 212)(34, 190)(35, 211)(36, 181)(37, 154)(38, 189)(39, 214)(40, 177)(41, 187)(42, 163)(43, 156)(44, 161)(45, 215)(46, 157)(47, 200)(48, 209)(49, 208)(50, 195)(51, 159)(52, 216)(53, 192)(54, 188)(55, 172)(56, 167)(57, 186)(58, 203)(59, 164)(60, 183)(61, 210)(62, 196)(63, 176)(64, 170)(65, 197)(66, 173)(67, 213)(68, 184)(69, 179)(70, 204)(71, 182)(72, 206)(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, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1253
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 6^24, 8^18 ]

E22.1258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-2, Y3^4, Y3^-2 * Y2^-2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y3^2 * R * Y2^-2, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, R * Y2 * Y3 * R * Y2^-1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * R * Y1 * Y2 * Y1 * Y2^-1 * R * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 24, 96)(12, 84, 19, 91)(13, 85, 28, 100)(14, 86, 26, 98)(15, 87, 31, 103)(16, 88, 32, 104)(20, 92, 36, 108)(21, 93, 34, 106)(22, 94, 39, 111)(23, 95, 40, 112)(25, 97, 41, 113)(27, 99, 46, 118)(29, 101, 47, 119)(30, 102, 48, 120)(33, 105, 51, 123)(35, 107, 56, 128)(37, 109, 57, 129)(38, 110, 58, 130)(42, 114, 59, 131)(43, 115, 60, 132)(44, 116, 55, 127)(45, 117, 54, 126)(49, 121, 52, 124)(50, 122, 53, 125)(61, 133, 68, 140)(62, 134, 67, 139)(63, 135, 69, 141)(64, 136, 70, 142)(65, 137, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 163, 235, 153, 225)(148, 220, 159, 231, 150, 222, 160, 232)(152, 224, 166, 238, 154, 226, 167, 239)(155, 227, 169, 241, 161, 233, 171, 243)(157, 229, 173, 245, 158, 230, 174, 246)(162, 234, 177, 249, 168, 240, 179, 251)(164, 236, 181, 253, 165, 237, 182, 254)(170, 242, 188, 260, 172, 244, 189, 261)(175, 247, 193, 265, 176, 248, 194, 266)(178, 250, 198, 270, 180, 252, 199, 271)(183, 255, 203, 275, 184, 256, 204, 276)(185, 257, 205, 277, 190, 262, 206, 278)(186, 258, 207, 279, 187, 259, 208, 280)(191, 263, 209, 281, 192, 264, 210, 282)(195, 267, 211, 283, 200, 272, 212, 284)(196, 268, 213, 285, 197, 269, 214, 286)(201, 273, 215, 287, 202, 274, 216, 288)
	L = (1, 148)(2, 152)(3, 157)(4, 156)(5, 158)(6, 145)(7, 164)(8, 163)(9, 165)(10, 146)(11, 170)(12, 150)(13, 149)(14, 147)(15, 174)(16, 173)(17, 172)(18, 178)(19, 154)(20, 153)(21, 151)(22, 182)(23, 181)(24, 180)(25, 186)(26, 161)(27, 187)(28, 155)(29, 159)(30, 160)(31, 191)(32, 192)(33, 196)(34, 168)(35, 197)(36, 162)(37, 166)(38, 167)(39, 201)(40, 202)(41, 204)(42, 171)(43, 169)(44, 208)(45, 207)(46, 203)(47, 176)(48, 175)(49, 195)(50, 200)(51, 194)(52, 179)(53, 177)(54, 214)(55, 213)(56, 193)(57, 184)(58, 183)(59, 185)(60, 190)(61, 215)(62, 216)(63, 188)(64, 189)(65, 212)(66, 211)(67, 209)(68, 210)(69, 198)(70, 199)(71, 206)(72, 205)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1259
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 22>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|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, Y3 * Y1^-2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 16, 88, 18, 90, 5, 77)(3, 75, 11, 83, 25, 97, 30, 102, 32, 104, 13, 85)(4, 76, 15, 87, 10, 82, 6, 78, 19, 91, 9, 81)(8, 80, 21, 93, 41, 113, 38, 110, 47, 119, 23, 95)(12, 84, 29, 101, 28, 100, 14, 86, 33, 105, 27, 99)(17, 89, 35, 107, 40, 112, 20, 92, 39, 111, 37, 109)(22, 94, 45, 117, 44, 116, 24, 96, 48, 120, 43, 115)(26, 98, 42, 114, 61, 133, 56, 128, 68, 140, 51, 123)(31, 103, 46, 118, 62, 134, 49, 121, 63, 135, 55, 127)(34, 106, 57, 129, 59, 131, 36, 108, 60, 132, 58, 130)(50, 122, 69, 141, 65, 137, 52, 124, 70, 142, 64, 136)(53, 125, 71, 143, 67, 139, 54, 126, 72, 144, 66, 138)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 168, 240)(154, 226, 166, 238)(155, 227, 170, 242)(157, 229, 175, 247)(159, 231, 178, 250)(160, 232, 174, 246)(162, 234, 182, 254)(163, 235, 180, 252)(165, 237, 186, 258)(167, 239, 190, 262)(169, 241, 193, 265)(171, 243, 196, 268)(172, 244, 194, 266)(173, 245, 197, 269)(176, 248, 200, 272)(177, 249, 198, 270)(179, 251, 195, 267)(181, 253, 199, 271)(183, 255, 205, 277)(184, 256, 206, 278)(185, 257, 207, 279)(187, 259, 209, 281)(188, 260, 208, 280)(189, 261, 210, 282)(191, 263, 212, 284)(192, 264, 211, 283)(201, 273, 216, 288)(202, 274, 213, 285)(203, 275, 214, 286)(204, 276, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 159)(6, 145)(7, 163)(8, 166)(9, 162)(10, 146)(11, 171)(12, 174)(13, 173)(14, 147)(15, 151)(16, 150)(17, 180)(18, 154)(19, 149)(20, 178)(21, 187)(22, 182)(23, 189)(24, 152)(25, 177)(26, 194)(27, 176)(28, 155)(29, 169)(30, 158)(31, 198)(32, 172)(33, 157)(34, 161)(35, 203)(36, 164)(37, 204)(38, 168)(39, 202)(40, 201)(41, 192)(42, 208)(43, 191)(44, 165)(45, 185)(46, 211)(47, 188)(48, 167)(49, 197)(50, 200)(51, 213)(52, 170)(53, 175)(54, 193)(55, 216)(56, 196)(57, 181)(58, 179)(59, 183)(60, 184)(61, 214)(62, 215)(63, 210)(64, 212)(65, 186)(66, 190)(67, 207)(68, 209)(69, 205)(70, 195)(71, 199)(72, 206)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1258
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (R * Y2 * Y1 * Y2)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 17, 89)(10, 82, 21, 93)(12, 84, 25, 97)(14, 86, 29, 101)(15, 87, 31, 103)(16, 88, 33, 105)(18, 90, 28, 100)(19, 91, 38, 110)(20, 92, 26, 98)(22, 94, 41, 113)(23, 95, 42, 114)(24, 96, 44, 116)(27, 99, 49, 121)(30, 102, 52, 124)(32, 104, 51, 123)(34, 106, 46, 118)(35, 107, 45, 117)(36, 108, 55, 127)(37, 109, 48, 120)(39, 111, 60, 132)(40, 112, 43, 115)(47, 119, 63, 135)(50, 122, 68, 140)(53, 125, 67, 139)(54, 126, 64, 136)(56, 128, 62, 134)(57, 129, 69, 141)(58, 130, 70, 142)(59, 131, 61, 133)(65, 137, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 154, 226)(150, 222, 158, 230)(151, 223, 159, 231)(152, 224, 162, 234)(153, 225, 163, 235)(155, 227, 167, 239)(156, 228, 170, 242)(157, 229, 171, 243)(160, 232, 178, 250)(161, 233, 179, 251)(164, 236, 183, 255)(165, 237, 184, 256)(166, 238, 181, 253)(168, 240, 189, 261)(169, 241, 190, 262)(172, 244, 194, 266)(173, 245, 195, 267)(174, 246, 192, 264)(175, 247, 197, 269)(176, 248, 199, 271)(177, 249, 200, 272)(180, 252, 202, 274)(182, 254, 198, 270)(185, 257, 201, 273)(186, 258, 205, 277)(187, 259, 207, 279)(188, 260, 208, 280)(191, 263, 210, 282)(193, 265, 206, 278)(196, 268, 209, 281)(203, 275, 213, 285)(204, 276, 214, 286)(211, 283, 215, 287)(212, 284, 216, 288)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 156)(6, 146)(7, 160)(8, 147)(9, 164)(10, 166)(11, 168)(12, 149)(13, 172)(14, 174)(15, 176)(16, 151)(17, 180)(18, 181)(19, 171)(20, 153)(21, 177)(22, 154)(23, 187)(24, 155)(25, 191)(26, 192)(27, 163)(28, 157)(29, 188)(30, 158)(31, 198)(32, 159)(33, 165)(34, 201)(35, 200)(36, 161)(37, 162)(38, 203)(39, 194)(40, 202)(41, 199)(42, 206)(43, 167)(44, 173)(45, 209)(46, 208)(47, 169)(48, 170)(49, 211)(50, 183)(51, 210)(52, 207)(53, 212)(54, 175)(55, 185)(56, 179)(57, 178)(58, 184)(59, 182)(60, 205)(61, 204)(62, 186)(63, 196)(64, 190)(65, 189)(66, 195)(67, 193)(68, 197)(69, 216)(70, 215)(71, 214)(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, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1265
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-1 * Y1)^2, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (Y3^-1 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1, Y3^2 * Y2 * Y3^2 * Y2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 22, 94)(12, 84, 29, 101)(13, 85, 28, 100)(14, 86, 31, 103)(15, 87, 32, 104)(16, 88, 30, 102)(17, 89, 24, 96)(18, 90, 23, 95)(19, 91, 27, 99)(20, 92, 25, 97)(21, 93, 26, 98)(33, 105, 48, 120)(34, 106, 47, 119)(35, 107, 52, 124)(36, 108, 59, 131)(37, 109, 53, 125)(38, 110, 49, 121)(39, 111, 51, 123)(40, 112, 57, 129)(41, 113, 58, 130)(42, 114, 60, 132)(43, 115, 54, 126)(44, 116, 55, 127)(45, 117, 50, 122)(46, 118, 56, 128)(61, 133, 68, 140)(62, 134, 67, 139)(63, 135, 69, 141)(64, 136, 70, 142)(65, 137, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219, 155, 227, 149, 221)(146, 218, 151, 223, 166, 238, 153, 225)(148, 220, 158, 230, 177, 249, 160, 232)(150, 222, 163, 235, 178, 250, 164, 236)(152, 224, 169, 241, 191, 263, 171, 243)(154, 226, 174, 246, 192, 264, 175, 247)(156, 228, 179, 251, 161, 233, 181, 253)(157, 229, 182, 254, 162, 234, 183, 255)(159, 231, 180, 252, 205, 277, 187, 259)(165, 237, 184, 256, 206, 278, 189, 261)(167, 239, 193, 265, 172, 244, 195, 267)(168, 240, 196, 268, 173, 245, 197, 269)(170, 242, 194, 266, 211, 283, 201, 273)(176, 248, 198, 270, 212, 284, 203, 275)(185, 257, 208, 280, 188, 260, 210, 282)(186, 258, 207, 279, 190, 262, 209, 281)(199, 271, 214, 286, 202, 274, 216, 288)(200, 272, 213, 285, 204, 276, 215, 287)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 161)(6, 145)(7, 167)(8, 170)(9, 172)(10, 146)(11, 177)(12, 180)(13, 147)(14, 182)(15, 186)(16, 183)(17, 187)(18, 149)(19, 185)(20, 188)(21, 150)(22, 191)(23, 194)(24, 151)(25, 196)(26, 200)(27, 197)(28, 201)(29, 153)(30, 199)(31, 202)(32, 154)(33, 205)(34, 155)(35, 164)(36, 208)(37, 163)(38, 207)(39, 209)(40, 157)(41, 158)(42, 206)(43, 210)(44, 160)(45, 162)(46, 165)(47, 211)(48, 166)(49, 175)(50, 214)(51, 174)(52, 213)(53, 215)(54, 168)(55, 169)(56, 212)(57, 216)(58, 171)(59, 173)(60, 176)(61, 190)(62, 178)(63, 179)(64, 189)(65, 181)(66, 184)(67, 204)(68, 192)(69, 193)(70, 203)(71, 195)(72, 198)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1263
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y3 * Y1)^2, (Y2^-1 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2^-2 * Y1 * Y2^2 * Y1, Y3^6 * Y2^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 31, 103)(12, 84, 25, 97)(13, 85, 35, 107)(14, 86, 30, 102)(15, 87, 33, 105)(16, 88, 36, 108)(17, 89, 27, 99)(19, 91, 34, 106)(20, 92, 28, 100)(21, 93, 32, 104)(22, 94, 26, 98)(23, 95, 29, 101)(37, 109, 65, 137)(38, 110, 66, 138)(39, 111, 54, 126)(40, 112, 53, 125)(41, 113, 56, 128)(42, 114, 55, 127)(43, 115, 62, 134)(44, 116, 63, 135)(45, 117, 60, 132)(46, 118, 59, 131)(47, 119, 64, 136)(48, 120, 57, 129)(49, 121, 58, 130)(50, 122, 61, 133)(51, 123, 69, 141)(52, 124, 70, 142)(67, 139, 72, 144)(68, 140, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 169, 241, 153, 225)(148, 220, 159, 231, 183, 255, 161, 233)(150, 222, 165, 237, 184, 256, 166, 238)(152, 224, 172, 244, 197, 269, 174, 246)(154, 226, 178, 250, 198, 270, 179, 251)(155, 227, 181, 253, 162, 234, 182, 254)(157, 229, 185, 257, 163, 235, 187, 259)(158, 230, 188, 260, 164, 236, 189, 261)(160, 232, 186, 258, 211, 283, 192, 264)(167, 239, 190, 262, 212, 284, 193, 265)(168, 240, 195, 267, 175, 247, 196, 268)(170, 242, 199, 271, 176, 248, 201, 273)(171, 243, 202, 274, 177, 249, 203, 275)(173, 245, 200, 272, 215, 287, 206, 278)(180, 252, 204, 276, 216, 288, 207, 279)(191, 263, 210, 282, 194, 266, 209, 281)(205, 277, 214, 286, 208, 280, 213, 285)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 176)(10, 146)(11, 174)(12, 183)(13, 186)(14, 147)(15, 188)(16, 191)(17, 189)(18, 172)(19, 192)(20, 149)(21, 175)(22, 168)(23, 150)(24, 161)(25, 197)(26, 200)(27, 151)(28, 202)(29, 205)(30, 203)(31, 159)(32, 206)(33, 153)(34, 162)(35, 155)(36, 154)(37, 204)(38, 207)(39, 211)(40, 156)(41, 166)(42, 196)(43, 165)(44, 210)(45, 209)(46, 158)(47, 212)(48, 195)(49, 164)(50, 167)(51, 190)(52, 193)(53, 215)(54, 169)(55, 179)(56, 182)(57, 178)(58, 214)(59, 213)(60, 171)(61, 216)(62, 181)(63, 177)(64, 180)(65, 187)(66, 185)(67, 194)(68, 184)(69, 201)(70, 199)(71, 208)(72, 198)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1264
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1 * Y3 * Y1^-2 * Y3, Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 23, 95, 18, 90, 5, 77)(3, 75, 11, 83, 32, 104, 50, 122, 24, 96, 8, 80)(4, 76, 14, 86, 41, 113, 47, 119, 19, 91, 16, 88)(6, 78, 20, 92, 9, 81, 28, 100, 49, 121, 21, 93)(10, 82, 30, 102, 25, 97, 46, 118, 45, 117, 17, 89)(12, 84, 35, 107, 63, 135, 55, 127, 27, 99, 37, 109)(13, 85, 38, 110, 33, 105, 59, 131, 66, 138, 39, 111)(15, 87, 29, 101, 52, 124, 68, 140, 44, 116, 43, 115)(22, 94, 31, 103, 42, 114, 57, 129, 67, 139, 48, 120)(26, 98, 34, 106, 61, 133, 58, 130, 51, 123, 54, 126)(36, 108, 60, 132, 71, 143, 70, 142, 65, 137, 53, 125)(40, 112, 62, 134, 64, 136, 72, 144, 69, 141, 56, 128)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 168, 240)(153, 225, 171, 243)(154, 226, 170, 242)(158, 230, 183, 255)(159, 231, 184, 256)(160, 232, 182, 254)(161, 233, 178, 250)(162, 234, 176, 248)(163, 235, 177, 249)(164, 236, 181, 253)(165, 237, 179, 251)(166, 238, 180, 252)(167, 239, 194, 266)(169, 241, 195, 267)(172, 244, 199, 271)(173, 245, 200, 272)(174, 246, 198, 270)(175, 247, 197, 269)(185, 257, 210, 282)(186, 258, 209, 281)(187, 259, 206, 278)(188, 260, 208, 280)(189, 261, 205, 277)(190, 262, 202, 274)(191, 263, 203, 275)(192, 264, 204, 276)(193, 265, 207, 279)(196, 268, 213, 285)(201, 273, 214, 286)(211, 283, 215, 287)(212, 284, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 161)(6, 145)(7, 169)(8, 170)(9, 173)(10, 146)(11, 177)(12, 180)(13, 147)(14, 151)(15, 174)(16, 175)(17, 187)(18, 165)(19, 149)(20, 186)(21, 188)(22, 150)(23, 191)(24, 183)(25, 196)(26, 197)(27, 152)(28, 167)(29, 185)(30, 201)(31, 154)(32, 202)(33, 204)(34, 155)(35, 176)(36, 205)(37, 206)(38, 208)(39, 209)(40, 157)(41, 211)(42, 158)(43, 164)(44, 160)(45, 166)(46, 162)(47, 212)(48, 163)(49, 192)(50, 199)(51, 168)(52, 193)(53, 182)(54, 184)(55, 214)(56, 171)(57, 172)(58, 215)(59, 194)(60, 207)(61, 216)(62, 178)(63, 213)(64, 179)(65, 181)(66, 200)(67, 190)(68, 189)(69, 195)(70, 198)(71, 210)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1261
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3, (Y2 * Y3 * Y1^-1)^2, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, (Y1 * Y3^-1 * Y2)^2, Y3^3 * Y1^-1 * Y3 * Y1^-1, Y1^6, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-3)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 25, 97, 20, 92, 5, 77)(3, 75, 11, 83, 36, 108, 58, 130, 44, 116, 13, 85)(4, 76, 15, 87, 48, 120, 55, 127, 21, 93, 17, 89)(6, 78, 22, 94, 9, 81, 32, 104, 57, 129, 23, 95)(8, 80, 28, 100, 41, 113, 53, 125, 64, 136, 30, 102)(10, 82, 34, 106, 27, 99, 54, 126, 52, 124, 19, 91)(12, 84, 40, 112, 70, 142, 65, 137, 45, 117, 29, 101)(14, 86, 46, 118, 38, 110, 68, 140, 60, 132, 31, 103)(16, 88, 33, 105, 61, 133, 67, 139, 37, 109, 49, 121)(18, 90, 50, 122, 59, 131, 26, 98, 47, 119, 51, 123)(24, 96, 35, 107, 42, 114, 62, 134, 72, 144, 56, 128)(39, 111, 69, 141, 66, 138, 71, 143, 63, 135, 43, 115)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 170, 242)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 181, 253)(157, 229, 186, 258)(159, 231, 189, 261)(160, 232, 191, 263)(161, 233, 183, 255)(163, 235, 190, 262)(164, 236, 197, 269)(165, 237, 184, 256)(166, 238, 187, 259)(167, 239, 182, 254)(168, 240, 185, 257)(169, 241, 202, 274)(171, 243, 204, 276)(172, 244, 193, 265)(174, 246, 206, 278)(176, 248, 209, 281)(177, 249, 188, 260)(178, 250, 207, 279)(179, 251, 195, 267)(180, 252, 200, 272)(192, 264, 215, 287)(194, 266, 211, 283)(196, 268, 213, 285)(198, 270, 214, 286)(199, 271, 212, 284)(201, 273, 210, 282)(203, 275, 216, 288)(205, 277, 208, 280)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 171)(8, 173)(9, 177)(10, 146)(11, 182)(12, 185)(13, 187)(14, 147)(15, 151)(16, 178)(17, 179)(18, 184)(19, 193)(20, 167)(21, 149)(22, 186)(23, 181)(24, 150)(25, 199)(26, 189)(27, 205)(28, 190)(29, 195)(30, 207)(31, 152)(32, 169)(33, 192)(34, 206)(35, 154)(36, 210)(37, 161)(38, 197)(39, 155)(40, 180)(41, 213)(42, 159)(43, 172)(44, 175)(45, 157)(46, 162)(47, 158)(48, 216)(49, 166)(50, 212)(51, 183)(52, 168)(53, 214)(54, 164)(55, 211)(56, 165)(57, 200)(58, 209)(59, 215)(60, 170)(61, 201)(62, 176)(63, 191)(64, 204)(65, 174)(66, 208)(67, 196)(68, 202)(69, 194)(70, 203)(71, 188)(72, 198)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1262
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^4, (Y2^-1 * Y3)^2, Y2^2 * Y1^-2 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 21, 93, 14, 86)(4, 76, 15, 87, 22, 94, 9, 81)(6, 78, 19, 91, 12, 84, 20, 92)(8, 80, 23, 95, 17, 89, 25, 97)(10, 82, 27, 99, 18, 90, 28, 100)(13, 85, 33, 105, 39, 111, 30, 102)(16, 88, 38, 110, 32, 104, 40, 112)(24, 96, 48, 120, 37, 109, 46, 118)(26, 98, 51, 123, 36, 108, 52, 124)(29, 101, 45, 117, 34, 106, 49, 121)(31, 103, 53, 125, 35, 107, 55, 127)(41, 113, 47, 119, 43, 115, 50, 122)(42, 114, 54, 126, 44, 116, 56, 128)(57, 129, 68, 140, 60, 132, 65, 137)(58, 130, 70, 142, 59, 131, 72, 144)(61, 133, 71, 143, 63, 135, 69, 141)(62, 134, 66, 138, 64, 136, 67, 139)(145, 217, 147, 219, 156, 228, 151, 223, 165, 237, 150, 222)(146, 218, 152, 224, 162, 234, 149, 221, 161, 233, 154, 226)(148, 220, 160, 232, 183, 255, 166, 238, 176, 248, 157, 229)(153, 225, 170, 242, 181, 253, 159, 231, 180, 252, 168, 240)(155, 227, 173, 245, 179, 251, 158, 230, 178, 250, 175, 247)(163, 235, 185, 257, 188, 260, 164, 236, 187, 259, 186, 258)(167, 239, 189, 261, 194, 266, 169, 241, 193, 265, 191, 263)(171, 243, 197, 269, 200, 272, 172, 244, 199, 271, 198, 270)(174, 246, 202, 274, 204, 276, 177, 249, 203, 275, 201, 273)(182, 254, 205, 277, 208, 280, 184, 256, 207, 279, 206, 278)(190, 262, 210, 282, 212, 284, 192, 264, 211, 283, 209, 281)(195, 267, 213, 285, 216, 288, 196, 268, 215, 287, 214, 286)
	L = (1, 148)(2, 153)(3, 157)(4, 145)(5, 159)(6, 160)(7, 166)(8, 168)(9, 146)(10, 170)(11, 174)(12, 176)(13, 147)(14, 177)(15, 149)(16, 150)(17, 181)(18, 180)(19, 184)(20, 182)(21, 183)(22, 151)(23, 190)(24, 152)(25, 192)(26, 154)(27, 196)(28, 195)(29, 201)(30, 155)(31, 202)(32, 156)(33, 158)(34, 204)(35, 203)(36, 162)(37, 161)(38, 164)(39, 165)(40, 163)(41, 208)(42, 207)(43, 206)(44, 205)(45, 209)(46, 167)(47, 210)(48, 169)(49, 212)(50, 211)(51, 172)(52, 171)(53, 216)(54, 215)(55, 214)(56, 213)(57, 173)(58, 175)(59, 179)(60, 178)(61, 188)(62, 187)(63, 186)(64, 185)(65, 189)(66, 191)(67, 194)(68, 193)(69, 200)(70, 199)(71, 198)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1260
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 8^18, 12^12 ]

E22.1266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y3 * Y2 * Y1)^2, (Y3 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3, (Y3 * Y1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 9, 81)(5, 77, 11, 83)(6, 78, 13, 85)(8, 80, 17, 89)(10, 82, 21, 93)(12, 84, 25, 97)(14, 86, 29, 101)(15, 87, 31, 103)(16, 88, 33, 105)(18, 90, 26, 98)(19, 91, 38, 110)(20, 92, 40, 112)(22, 94, 43, 115)(23, 95, 44, 116)(24, 96, 46, 118)(27, 99, 50, 122)(28, 100, 37, 109)(30, 102, 52, 124)(32, 104, 55, 127)(34, 106, 57, 129)(35, 107, 59, 131)(36, 108, 42, 114)(39, 111, 64, 136)(41, 113, 65, 137)(45, 117, 56, 128)(47, 119, 62, 134)(48, 120, 54, 126)(49, 121, 51, 123)(53, 125, 63, 135)(58, 130, 67, 139)(60, 132, 66, 138)(61, 133, 72, 144)(68, 140, 70, 142)(69, 141, 71, 143)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 154, 226)(150, 222, 158, 230)(151, 223, 159, 231)(152, 224, 162, 234)(153, 225, 163, 235)(155, 227, 167, 239)(156, 228, 170, 242)(157, 229, 171, 243)(160, 232, 178, 250)(161, 233, 179, 251)(164, 236, 185, 257)(165, 237, 176, 248)(166, 238, 181, 253)(168, 240, 191, 263)(169, 241, 192, 264)(172, 244, 183, 255)(173, 245, 189, 261)(174, 246, 184, 256)(175, 247, 197, 269)(177, 249, 200, 272)(180, 252, 205, 277)(182, 254, 206, 278)(186, 258, 202, 274)(187, 259, 204, 276)(188, 260, 207, 279)(190, 262, 199, 271)(193, 265, 212, 284)(194, 266, 201, 273)(195, 267, 210, 282)(196, 268, 211, 283)(198, 270, 213, 285)(203, 275, 215, 287)(208, 280, 214, 286)(209, 281, 216, 288)
	L = (1, 148)(2, 150)(3, 152)(4, 145)(5, 156)(6, 146)(7, 160)(8, 147)(9, 164)(10, 166)(11, 168)(12, 149)(13, 172)(14, 174)(15, 176)(16, 151)(17, 180)(18, 181)(19, 183)(20, 153)(21, 186)(22, 154)(23, 189)(24, 155)(25, 193)(26, 184)(27, 185)(28, 157)(29, 195)(30, 158)(31, 198)(32, 159)(33, 187)(34, 202)(35, 204)(36, 161)(37, 162)(38, 207)(39, 163)(40, 170)(41, 171)(42, 165)(43, 177)(44, 203)(45, 167)(46, 196)(47, 210)(48, 211)(49, 169)(50, 197)(51, 173)(52, 190)(53, 194)(54, 175)(55, 212)(56, 205)(57, 214)(58, 178)(59, 188)(60, 179)(61, 200)(62, 216)(63, 182)(64, 213)(65, 215)(66, 191)(67, 192)(68, 199)(69, 208)(70, 201)(71, 209)(72, 206)(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, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1281
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 15, 87)(6, 78, 18, 90)(7, 79, 20, 92)(8, 80, 22, 94)(10, 82, 27, 99)(11, 83, 13, 85)(14, 86, 24, 96)(16, 88, 36, 108)(17, 89, 21, 93)(19, 91, 41, 113)(23, 95, 47, 119)(25, 97, 49, 121)(26, 98, 51, 123)(28, 100, 53, 125)(29, 101, 37, 109)(30, 102, 56, 128)(31, 103, 55, 127)(32, 104, 58, 130)(33, 105, 34, 106)(35, 107, 50, 122)(38, 110, 59, 131)(39, 111, 61, 133)(40, 112, 63, 135)(42, 114, 57, 129)(43, 115, 67, 139)(44, 116, 66, 138)(45, 117, 68, 140)(46, 118, 62, 134)(48, 120, 60, 132)(52, 124, 65, 137)(54, 126, 64, 136)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 157, 229)(149, 221, 160, 232)(151, 223, 155, 227)(152, 224, 167, 239)(153, 225, 169, 241)(154, 226, 159, 231)(156, 228, 174, 246)(158, 230, 178, 250)(161, 233, 182, 254)(162, 234, 183, 255)(163, 235, 166, 238)(164, 236, 187, 259)(165, 237, 181, 253)(168, 240, 192, 264)(170, 242, 196, 268)(171, 243, 198, 270)(172, 244, 199, 271)(173, 245, 188, 260)(175, 247, 177, 249)(176, 248, 203, 275)(179, 251, 191, 263)(180, 252, 190, 262)(184, 256, 208, 280)(185, 257, 209, 281)(186, 258, 210, 282)(189, 261, 204, 276)(193, 265, 213, 285)(194, 266, 195, 267)(197, 269, 212, 284)(200, 272, 214, 286)(201, 273, 202, 274)(205, 277, 215, 287)(206, 278, 207, 279)(211, 283, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 158)(5, 145)(6, 163)(7, 165)(8, 146)(9, 160)(10, 172)(11, 147)(12, 175)(13, 150)(14, 179)(15, 169)(16, 181)(17, 149)(18, 167)(19, 186)(20, 188)(21, 190)(22, 183)(23, 178)(24, 152)(25, 194)(26, 153)(27, 177)(28, 185)(29, 155)(30, 201)(31, 159)(32, 156)(33, 157)(34, 174)(35, 161)(36, 182)(37, 187)(38, 195)(39, 206)(40, 162)(41, 173)(42, 171)(43, 197)(44, 166)(45, 164)(46, 168)(47, 192)(48, 207)(49, 196)(50, 176)(51, 213)(52, 199)(53, 170)(54, 202)(55, 198)(56, 203)(57, 184)(58, 214)(59, 191)(60, 180)(61, 208)(62, 189)(63, 215)(64, 210)(65, 212)(66, 209)(67, 204)(68, 216)(69, 211)(70, 193)(71, 200)(72, 205)(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, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1282
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3, Y2 * Y1 * R * Y2 * R, (Y3^2 * Y1)^2, Y3^6, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 6, 78)(4, 76, 11, 83)(5, 77, 14, 86)(7, 79, 18, 90)(8, 80, 20, 92)(9, 81, 23, 95)(10, 82, 15, 87)(12, 84, 26, 98)(13, 85, 22, 94)(16, 88, 19, 91)(17, 89, 21, 93)(24, 96, 36, 108)(25, 97, 29, 101)(27, 99, 45, 117)(28, 100, 47, 119)(30, 102, 42, 114)(31, 103, 49, 121)(32, 104, 52, 124)(33, 105, 53, 125)(34, 106, 35, 107)(37, 109, 57, 129)(38, 110, 58, 130)(39, 111, 60, 132)(40, 112, 61, 133)(41, 113, 62, 134)(43, 115, 59, 131)(44, 116, 54, 126)(46, 118, 48, 120)(50, 122, 63, 135)(51, 123, 56, 128)(55, 127, 64, 136)(65, 137, 67, 139)(66, 138, 71, 143)(68, 140, 72, 144)(69, 141, 70, 142)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 156, 228)(149, 221, 159, 231)(151, 223, 153, 225)(152, 224, 165, 237)(154, 226, 158, 230)(155, 227, 170, 242)(157, 229, 174, 246)(160, 232, 179, 251)(161, 233, 164, 236)(162, 234, 167, 239)(163, 235, 178, 250)(166, 238, 186, 258)(168, 240, 181, 253)(169, 241, 189, 261)(171, 243, 173, 245)(172, 244, 192, 264)(175, 247, 195, 267)(176, 248, 177, 249)(180, 252, 201, 273)(182, 254, 203, 275)(183, 255, 199, 271)(184, 256, 185, 257)(187, 259, 202, 274)(188, 260, 209, 281)(190, 262, 191, 263)(193, 265, 200, 272)(194, 266, 210, 282)(196, 268, 197, 269)(198, 270, 211, 283)(204, 276, 208, 280)(205, 277, 206, 278)(207, 279, 215, 287)(212, 284, 213, 285)(214, 286, 216, 288)
	L = (1, 148)(2, 151)(3, 153)(4, 157)(5, 145)(6, 156)(7, 163)(8, 146)(9, 168)(10, 147)(11, 171)(12, 173)(13, 175)(14, 176)(15, 177)(16, 149)(17, 150)(18, 181)(19, 183)(20, 184)(21, 185)(22, 152)(23, 178)(24, 188)(25, 154)(26, 174)(27, 158)(28, 155)(29, 194)(30, 165)(31, 160)(32, 193)(33, 198)(34, 159)(35, 199)(36, 161)(37, 164)(38, 162)(39, 166)(40, 204)(41, 207)(42, 195)(43, 167)(44, 169)(45, 210)(46, 170)(47, 212)(48, 213)(49, 172)(50, 180)(51, 192)(52, 211)(53, 200)(54, 187)(55, 203)(56, 179)(57, 209)(58, 216)(59, 214)(60, 182)(61, 215)(62, 208)(63, 190)(64, 186)(65, 202)(66, 191)(67, 189)(68, 196)(69, 206)(70, 197)(71, 201)(72, 205)(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, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1283
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y3 * Y2 * Y3 * Y2^-1)^2, Y2 * Y1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 8, 80)(4, 76, 7, 79)(5, 77, 6, 78)(9, 81, 14, 86)(10, 82, 18, 90)(11, 83, 17, 89)(12, 84, 16, 88)(13, 85, 15, 87)(19, 91, 27, 99)(20, 92, 34, 106)(21, 93, 33, 105)(22, 94, 30, 102)(23, 95, 32, 104)(24, 96, 31, 103)(25, 97, 29, 101)(26, 98, 28, 100)(35, 107, 47, 119)(36, 108, 46, 118)(37, 109, 55, 127)(38, 110, 56, 128)(39, 111, 53, 125)(40, 112, 51, 123)(41, 113, 54, 126)(42, 114, 50, 122)(43, 115, 52, 124)(44, 116, 48, 120)(45, 117, 49, 121)(57, 129, 66, 138)(58, 130, 65, 137)(59, 131, 72, 144)(60, 132, 70, 142)(61, 133, 71, 143)(62, 134, 68, 140)(63, 135, 69, 141)(64, 136, 67, 139)(145, 217, 147, 219, 153, 225, 149, 221)(146, 218, 150, 222, 158, 230, 152, 224)(148, 220, 155, 227, 166, 238, 156, 228)(151, 223, 160, 232, 174, 246, 161, 233)(154, 226, 164, 236, 181, 253, 165, 237)(157, 229, 169, 241, 188, 260, 170, 242)(159, 231, 172, 244, 192, 264, 173, 245)(162, 234, 177, 249, 199, 271, 178, 250)(163, 235, 179, 251, 195, 267, 180, 252)(167, 239, 185, 257, 204, 276, 183, 255)(168, 240, 186, 258, 206, 278, 187, 259)(171, 243, 190, 262, 184, 256, 191, 263)(175, 247, 196, 268, 212, 284, 194, 266)(176, 248, 197, 269, 214, 286, 198, 270)(182, 254, 203, 275, 215, 287, 202, 274)(189, 261, 201, 273, 213, 285, 208, 280)(193, 265, 211, 283, 207, 279, 210, 282)(200, 272, 209, 281, 205, 277, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 157)(6, 159)(7, 146)(8, 162)(9, 163)(10, 147)(11, 167)(12, 168)(13, 149)(14, 171)(15, 150)(16, 175)(17, 176)(18, 152)(19, 153)(20, 182)(21, 183)(22, 184)(23, 155)(24, 156)(25, 186)(26, 189)(27, 158)(28, 193)(29, 194)(30, 195)(31, 160)(32, 161)(33, 197)(34, 200)(35, 201)(36, 202)(37, 192)(38, 164)(39, 165)(40, 166)(41, 205)(42, 169)(43, 207)(44, 199)(45, 170)(46, 209)(47, 210)(48, 181)(49, 172)(50, 173)(51, 174)(52, 213)(53, 177)(54, 215)(55, 188)(56, 178)(57, 179)(58, 180)(59, 211)(60, 212)(61, 185)(62, 214)(63, 187)(64, 216)(65, 190)(66, 191)(67, 203)(68, 204)(69, 196)(70, 206)(71, 198)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1278
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, (Y1 * Y2^-1 * Y3)^2, (Y3 * Y2^-2 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2 * Y1 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 14, 86)(6, 78, 16, 88)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 20, 92)(12, 84, 22, 94)(13, 85, 18, 90)(15, 87, 19, 91)(17, 89, 36, 108)(23, 95, 42, 114)(24, 96, 46, 118)(26, 98, 40, 112)(27, 99, 47, 119)(28, 100, 43, 115)(29, 101, 37, 109)(30, 102, 53, 125)(31, 103, 34, 106)(32, 104, 39, 111)(33, 105, 55, 127)(35, 107, 58, 130)(38, 110, 59, 131)(41, 113, 61, 133)(44, 116, 63, 135)(45, 117, 54, 126)(48, 120, 66, 138)(49, 121, 69, 141)(50, 122, 70, 142)(51, 123, 67, 139)(52, 124, 56, 128)(57, 129, 62, 134)(60, 132, 64, 136)(65, 137, 71, 143)(68, 140, 72, 144)(145, 217, 147, 219, 154, 226, 149, 221)(146, 218, 150, 222, 161, 233, 152, 224)(148, 220, 156, 228, 173, 245, 157, 229)(151, 223, 163, 235, 184, 256, 164, 236)(153, 225, 167, 239, 189, 261, 168, 240)(155, 227, 171, 243, 196, 268, 172, 244)(158, 230, 174, 246, 198, 270, 175, 247)(159, 231, 176, 248, 200, 272, 177, 249)(160, 232, 178, 250, 201, 273, 179, 251)(162, 234, 182, 254, 204, 276, 183, 255)(165, 237, 185, 257, 206, 278, 186, 258)(166, 238, 187, 259, 208, 280, 188, 260)(169, 241, 192, 264, 180, 252, 193, 265)(170, 242, 194, 266, 181, 253, 195, 267)(190, 262, 209, 281, 205, 277, 210, 282)(191, 263, 211, 283, 207, 279, 212, 284)(197, 269, 213, 285, 202, 274, 215, 287)(199, 271, 216, 288, 203, 275, 214, 286)
	L = (1, 148)(2, 151)(3, 155)(4, 145)(5, 159)(6, 162)(7, 146)(8, 166)(9, 164)(10, 170)(11, 147)(12, 165)(13, 160)(14, 163)(15, 149)(16, 157)(17, 181)(18, 150)(19, 158)(20, 153)(21, 156)(22, 152)(23, 187)(24, 191)(25, 184)(26, 154)(27, 190)(28, 186)(29, 180)(30, 199)(31, 183)(32, 178)(33, 197)(34, 176)(35, 203)(36, 173)(37, 161)(38, 202)(39, 175)(40, 169)(41, 207)(42, 172)(43, 167)(44, 205)(45, 200)(46, 171)(47, 168)(48, 211)(49, 214)(50, 213)(51, 210)(52, 198)(53, 177)(54, 196)(55, 174)(56, 189)(57, 208)(58, 182)(59, 179)(60, 206)(61, 188)(62, 204)(63, 185)(64, 201)(65, 216)(66, 195)(67, 192)(68, 215)(69, 194)(70, 193)(71, 212)(72, 209)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1275
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^-1 * Y1 * Y2^-2, Y3^-1 * Y1 * Y2^2, (R * Y1)^2, (R * Y3)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^3 * Y1 * Y3^-2 * Y2^-1, Y3^2 * Y2 * Y3^2 * Y1 * Y2^-1 * Y3, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2 * Y3^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 13, 85)(6, 78, 8, 80)(7, 79, 19, 91)(9, 81, 21, 93)(12, 84, 29, 101)(14, 86, 26, 98)(15, 87, 33, 105)(16, 88, 36, 108)(17, 89, 38, 110)(18, 90, 22, 94)(20, 92, 44, 116)(23, 95, 48, 120)(24, 96, 51, 123)(25, 97, 53, 125)(27, 99, 57, 129)(28, 100, 43, 115)(30, 102, 56, 128)(31, 103, 46, 118)(32, 104, 61, 133)(34, 106, 49, 121)(35, 107, 55, 127)(37, 109, 54, 126)(39, 111, 52, 124)(40, 112, 50, 122)(41, 113, 45, 117)(42, 114, 65, 137)(47, 119, 69, 141)(58, 130, 71, 143)(59, 131, 67, 139)(60, 132, 70, 142)(62, 134, 68, 140)(63, 135, 66, 138)(64, 136, 72, 144)(145, 217, 147, 219, 152, 224, 149, 221)(146, 218, 151, 223, 148, 220, 153, 225)(150, 222, 160, 232, 166, 238, 161, 233)(154, 226, 168, 240, 158, 230, 169, 241)(155, 227, 171, 243, 156, 228, 172, 244)(157, 229, 175, 247, 159, 231, 176, 248)(162, 234, 184, 256, 193, 265, 185, 257)(163, 235, 186, 258, 164, 236, 187, 259)(165, 237, 190, 262, 167, 239, 191, 263)(170, 242, 199, 271, 178, 250, 200, 272)(173, 245, 203, 275, 174, 246, 204, 276)(177, 249, 207, 279, 179, 251, 208, 280)(180, 252, 206, 278, 181, 253, 205, 277)(182, 254, 201, 273, 183, 255, 202, 274)(188, 260, 211, 283, 189, 261, 212, 284)(192, 264, 215, 287, 194, 266, 216, 288)(195, 267, 214, 286, 196, 268, 213, 285)(197, 269, 209, 281, 198, 270, 210, 282)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 164)(8, 166)(9, 167)(10, 146)(11, 149)(12, 174)(13, 147)(14, 178)(15, 179)(16, 181)(17, 183)(18, 150)(19, 153)(20, 189)(21, 151)(22, 193)(23, 194)(24, 196)(25, 198)(26, 154)(27, 202)(28, 186)(29, 155)(30, 199)(31, 191)(32, 206)(33, 157)(34, 162)(35, 200)(36, 161)(37, 197)(38, 160)(39, 195)(40, 192)(41, 188)(42, 210)(43, 171)(44, 163)(45, 184)(46, 176)(47, 214)(48, 165)(49, 170)(50, 185)(51, 169)(52, 182)(53, 168)(54, 180)(55, 177)(56, 173)(57, 172)(58, 216)(59, 212)(60, 213)(61, 175)(62, 211)(63, 209)(64, 215)(65, 187)(66, 208)(67, 204)(68, 205)(69, 190)(70, 203)(71, 201)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1280
Graph:: bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y3 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y2^-1 * Y3^-1 * Y2^-1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 24, 96)(9, 81, 30, 102)(12, 84, 16, 88)(13, 85, 19, 91)(14, 86, 29, 101)(15, 87, 32, 104)(17, 89, 26, 98)(20, 92, 27, 99)(21, 93, 49, 121)(22, 94, 52, 124)(23, 95, 28, 100)(25, 97, 31, 103)(33, 105, 62, 134)(34, 106, 64, 136)(35, 107, 43, 115)(36, 108, 59, 131)(37, 109, 63, 135)(38, 110, 57, 129)(39, 111, 68, 140)(40, 112, 48, 120)(41, 113, 45, 117)(42, 114, 51, 123)(44, 116, 54, 126)(46, 118, 67, 139)(47, 119, 55, 127)(50, 122, 53, 125)(56, 128, 69, 141)(58, 130, 72, 144)(60, 132, 65, 137)(61, 133, 66, 138)(70, 142, 71, 143)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 179, 251, 161, 233)(150, 222, 165, 237, 154, 226, 166, 238)(152, 224, 171, 243, 187, 259, 173, 245)(155, 227, 177, 249, 184, 256, 178, 250)(157, 229, 180, 252, 164, 236, 181, 253)(158, 230, 182, 254, 163, 235, 183, 255)(160, 232, 186, 258, 172, 244, 188, 260)(162, 234, 190, 262, 192, 264, 191, 263)(168, 240, 199, 271, 185, 257, 200, 272)(169, 241, 201, 273, 176, 248, 202, 274)(170, 242, 203, 275, 175, 247, 204, 276)(174, 246, 205, 277, 189, 261, 206, 278)(193, 265, 212, 284, 215, 287, 216, 288)(194, 266, 211, 283, 198, 270, 213, 285)(195, 267, 208, 280, 197, 269, 210, 282)(196, 268, 209, 281, 214, 286, 207, 279)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 169)(8, 172)(9, 175)(10, 146)(11, 173)(12, 154)(13, 162)(14, 147)(15, 185)(16, 187)(17, 189)(18, 171)(19, 155)(20, 149)(21, 194)(22, 197)(23, 150)(24, 161)(25, 174)(26, 151)(27, 184)(28, 179)(29, 192)(30, 159)(31, 168)(32, 153)(33, 204)(34, 209)(35, 156)(36, 205)(37, 210)(38, 200)(39, 213)(40, 158)(41, 170)(42, 214)(43, 167)(44, 215)(45, 176)(46, 216)(47, 202)(48, 164)(49, 186)(50, 196)(51, 165)(52, 188)(53, 193)(54, 166)(55, 183)(56, 212)(57, 190)(58, 211)(59, 178)(60, 208)(61, 207)(62, 181)(63, 177)(64, 180)(65, 206)(66, 203)(67, 182)(68, 191)(69, 201)(70, 198)(71, 195)(72, 199)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1276
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y3^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-2, Y2^-1 * Y3^3 * Y2 * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y2^-2 * Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y1, Y2 * R * Y2 * Y1 * Y2^2 * R * Y1, Y2 * Y3^-3 * Y1 * Y2^-1 * Y1 * Y3^-1, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 29, 101)(12, 84, 37, 109)(13, 85, 36, 108)(14, 86, 34, 106)(15, 87, 43, 115)(16, 88, 32, 104)(17, 89, 46, 118)(19, 91, 49, 121)(20, 92, 45, 117)(21, 93, 27, 99)(23, 95, 56, 128)(24, 96, 55, 127)(25, 97, 53, 125)(26, 98, 62, 134)(28, 100, 65, 137)(30, 102, 68, 140)(31, 103, 64, 136)(33, 105, 60, 132)(35, 107, 54, 126)(38, 110, 67, 139)(39, 111, 58, 130)(40, 112, 70, 142)(41, 113, 52, 124)(42, 114, 69, 141)(44, 116, 63, 135)(47, 119, 66, 138)(48, 120, 57, 129)(50, 122, 61, 133)(51, 123, 59, 131)(71, 143, 72, 144)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 188, 260, 161, 233)(150, 222, 164, 236, 185, 257, 157, 229)(152, 224, 170, 242, 207, 279, 172, 244)(154, 226, 175, 247, 204, 276, 168, 240)(155, 227, 177, 249, 212, 284, 179, 251)(158, 230, 186, 258, 199, 271, 182, 254)(160, 232, 189, 261, 200, 272, 178, 250)(162, 234, 191, 263, 209, 281, 192, 264)(163, 235, 183, 255, 203, 275, 194, 266)(165, 237, 187, 259, 215, 287, 195, 267)(166, 238, 196, 268, 193, 265, 198, 270)(169, 241, 205, 277, 180, 252, 201, 273)(171, 243, 208, 280, 181, 253, 197, 269)(173, 245, 210, 282, 190, 262, 211, 283)(174, 246, 202, 274, 184, 256, 213, 285)(176, 248, 206, 278, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 178)(12, 182)(13, 184)(14, 147)(15, 149)(16, 179)(17, 169)(18, 187)(19, 170)(20, 195)(21, 150)(22, 197)(23, 201)(24, 203)(25, 151)(26, 153)(27, 198)(28, 158)(29, 206)(30, 159)(31, 214)(32, 154)(33, 205)(34, 209)(35, 165)(36, 155)(37, 202)(38, 215)(39, 156)(40, 208)(41, 210)(42, 207)(43, 212)(44, 213)(45, 161)(46, 164)(47, 196)(48, 200)(49, 162)(50, 204)(51, 199)(52, 186)(53, 190)(54, 176)(55, 166)(56, 183)(57, 216)(58, 167)(59, 189)(60, 191)(61, 188)(62, 193)(63, 194)(64, 172)(65, 175)(66, 177)(67, 181)(68, 173)(69, 185)(70, 180)(71, 192)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1279
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3 * Y2)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 * Y1, Y3^6, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y2 * Y3^3 * Y2^-1, Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 18, 90)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 29, 101)(12, 84, 35, 107)(13, 85, 34, 106)(14, 86, 28, 100)(15, 87, 26, 98)(16, 88, 32, 104)(17, 89, 25, 97)(19, 91, 48, 120)(20, 92, 51, 123)(21, 93, 27, 99)(23, 95, 57, 129)(24, 96, 56, 128)(30, 102, 66, 138)(31, 103, 68, 140)(33, 105, 65, 137)(36, 108, 69, 141)(37, 109, 60, 132)(38, 110, 44, 116)(39, 111, 50, 122)(40, 112, 71, 143)(41, 113, 63, 135)(42, 114, 58, 130)(43, 115, 61, 133)(45, 117, 52, 124)(46, 118, 72, 144)(47, 119, 55, 127)(49, 121, 54, 126)(53, 125, 62, 134)(59, 131, 67, 139)(64, 136, 70, 142)(145, 217, 147, 219, 156, 228, 149, 221)(146, 218, 151, 223, 167, 239, 153, 225)(148, 220, 159, 231, 186, 258, 161, 233)(150, 222, 164, 236, 183, 255, 157, 229)(152, 224, 170, 242, 204, 276, 172, 244)(154, 226, 175, 247, 203, 275, 168, 240)(155, 227, 177, 249, 206, 278, 171, 243)(158, 230, 184, 256, 169, 241, 180, 252)(160, 232, 166, 238, 199, 271, 188, 260)(162, 234, 190, 262, 197, 269, 191, 263)(163, 235, 181, 253, 200, 272, 194, 266)(165, 237, 198, 270, 214, 286, 196, 268)(173, 245, 208, 280, 182, 254, 209, 281)(174, 246, 202, 274, 178, 250, 211, 283)(176, 248, 193, 265, 216, 288, 185, 257)(179, 251, 189, 261, 201, 273, 207, 279)(187, 259, 212, 284, 215, 287, 192, 264)(195, 267, 213, 285, 210, 282, 205, 277)
	L = (1, 148)(2, 152)(3, 157)(4, 160)(5, 163)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 172)(12, 180)(13, 182)(14, 147)(15, 149)(16, 187)(17, 189)(18, 170)(19, 193)(20, 196)(21, 150)(22, 161)(23, 184)(24, 197)(25, 151)(26, 153)(27, 205)(28, 207)(29, 159)(30, 198)(31, 185)(32, 154)(33, 202)(34, 155)(35, 204)(36, 214)(37, 156)(38, 175)(39, 190)(40, 216)(41, 158)(42, 209)(43, 165)(44, 178)(45, 195)(46, 215)(47, 203)(48, 162)(49, 210)(50, 177)(51, 206)(52, 169)(53, 164)(54, 192)(55, 181)(56, 166)(57, 186)(58, 167)(59, 208)(60, 191)(61, 176)(62, 200)(63, 212)(64, 213)(65, 183)(66, 173)(67, 199)(68, 188)(69, 179)(70, 211)(71, 201)(72, 194)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1277
Graph:: simple bipartite
	v = 54 e = 144 f = 48
	degree seq :: [ 4^36, 8^18 ]

E22.1275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y1^6, Y2 * Y1^-3 * Y3 * Y1^-3, (Y2 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 16, 88, 5, 77)(3, 75, 9, 81, 25, 97, 41, 113, 31, 103, 11, 83)(4, 76, 12, 84, 32, 104, 40, 112, 33, 105, 13, 85)(7, 79, 20, 92, 47, 119, 39, 111, 52, 124, 22, 94)(8, 80, 23, 95, 53, 125, 38, 110, 54, 126, 24, 96)(10, 82, 28, 100, 59, 131, 64, 136, 43, 115, 21, 93)(14, 86, 34, 106, 46, 118, 19, 91, 45, 117, 35, 107)(15, 87, 36, 108, 44, 116, 18, 90, 42, 114, 37, 109)(26, 98, 57, 129, 70, 142, 63, 135, 65, 137, 50, 122)(27, 99, 51, 123, 66, 138, 62, 134, 69, 141, 58, 130)(29, 101, 60, 132, 72, 144, 56, 128, 67, 139, 48, 120)(30, 102, 49, 121, 68, 140, 55, 127, 71, 143, 61, 133)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 170, 242)(155, 227, 173, 245)(156, 228, 174, 246)(157, 229, 171, 243)(159, 231, 172, 244)(160, 232, 182, 254)(161, 233, 184, 256)(163, 235, 187, 259)(164, 236, 192, 264)(166, 238, 194, 266)(167, 239, 195, 267)(168, 240, 193, 265)(169, 241, 199, 271)(175, 247, 206, 278)(176, 248, 207, 279)(177, 249, 200, 272)(178, 250, 204, 276)(179, 251, 201, 273)(180, 252, 202, 274)(181, 253, 205, 277)(183, 255, 203, 275)(185, 257, 208, 280)(186, 258, 209, 281)(188, 260, 211, 283)(189, 261, 212, 284)(190, 262, 210, 282)(191, 263, 213, 285)(196, 268, 215, 287)(197, 269, 216, 288)(198, 270, 214, 286)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 171)(10, 147)(11, 174)(12, 173)(13, 170)(14, 172)(15, 149)(16, 183)(17, 185)(18, 187)(19, 150)(20, 193)(21, 151)(22, 195)(23, 194)(24, 192)(25, 200)(26, 157)(27, 153)(28, 158)(29, 156)(30, 155)(31, 207)(32, 206)(33, 199)(34, 205)(35, 202)(36, 201)(37, 204)(38, 203)(39, 160)(40, 208)(41, 161)(42, 210)(43, 162)(44, 212)(45, 211)(46, 209)(47, 214)(48, 168)(49, 164)(50, 167)(51, 166)(52, 216)(53, 215)(54, 213)(55, 177)(56, 169)(57, 180)(58, 179)(59, 182)(60, 181)(61, 178)(62, 176)(63, 175)(64, 184)(65, 190)(66, 186)(67, 189)(68, 188)(69, 198)(70, 191)(71, 197)(72, 196)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1270
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^3 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y2 * Y1^-3, (Y3^2 * Y1^-1)^2, Y3^6, Y2 * Y1^-2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1, (Y2 * Y3 * Y1^2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 25, 97, 20, 92, 5, 77)(3, 75, 11, 83, 39, 111, 19, 91, 44, 116, 13, 85)(4, 76, 15, 87, 31, 103, 8, 80, 29, 101, 17, 89)(6, 78, 22, 94, 55, 127, 61, 133, 27, 99, 23, 95)(9, 81, 33, 105, 21, 93, 26, 98, 57, 129, 35, 107)(10, 82, 36, 108, 72, 144, 47, 119, 56, 128, 37, 109)(12, 84, 41, 113, 67, 139, 40, 112, 58, 130, 42, 114)(14, 86, 46, 118, 71, 143, 52, 124, 59, 131, 32, 104)(16, 88, 45, 117, 60, 132, 48, 120, 70, 142, 38, 110)(18, 90, 50, 122, 69, 141, 54, 126, 62, 134, 28, 100)(24, 96, 53, 125, 63, 135, 34, 106, 68, 140, 51, 123)(30, 102, 65, 137, 49, 121, 64, 136, 43, 115, 66, 138)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 170, 242)(153, 225, 176, 248)(154, 226, 174, 246)(155, 227, 184, 256)(157, 229, 187, 259)(159, 231, 192, 264)(160, 232, 191, 263)(161, 233, 195, 267)(163, 235, 190, 262)(164, 236, 180, 252)(165, 237, 193, 265)(166, 238, 169, 241)(167, 239, 182, 254)(168, 240, 177, 249)(171, 243, 203, 275)(172, 244, 202, 274)(173, 245, 208, 280)(175, 247, 211, 283)(178, 250, 213, 285)(179, 251, 214, 286)(181, 253, 207, 279)(183, 255, 204, 276)(185, 257, 201, 273)(186, 258, 216, 288)(188, 260, 212, 284)(189, 261, 206, 278)(194, 266, 210, 282)(196, 268, 200, 272)(197, 269, 205, 277)(198, 270, 215, 287)(199, 271, 209, 281)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 171)(8, 174)(9, 178)(10, 146)(11, 182)(12, 177)(13, 169)(14, 147)(15, 186)(16, 194)(17, 196)(18, 193)(19, 197)(20, 198)(21, 149)(22, 187)(23, 184)(24, 150)(25, 200)(26, 202)(27, 204)(28, 151)(29, 207)(30, 167)(31, 164)(32, 152)(33, 210)(34, 155)(35, 215)(36, 211)(37, 208)(38, 154)(39, 203)(40, 213)(41, 161)(42, 205)(43, 206)(44, 209)(45, 157)(46, 162)(47, 158)(48, 165)(49, 159)(50, 168)(51, 201)(52, 166)(53, 216)(54, 214)(55, 212)(56, 195)(57, 189)(58, 181)(59, 170)(60, 173)(61, 190)(62, 185)(63, 172)(64, 183)(65, 179)(66, 191)(67, 188)(68, 175)(69, 176)(70, 199)(71, 180)(72, 192)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1272
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y2 * Y1^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1^-3 * Y3^-1 * Y1^-1, Y1^6, Y3^3 * Y1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3^2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^2 * Y1^-2 * Y2 * Y1^-1, Y1^-2 * Y2 * Y3^-2 * Y1^2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 25, 97, 20, 92, 5, 77)(3, 75, 11, 83, 35, 107, 9, 81, 33, 105, 13, 85)(4, 76, 15, 87, 48, 120, 18, 90, 28, 100, 17, 89)(6, 78, 22, 94, 53, 125, 69, 141, 55, 127, 23, 95)(8, 80, 29, 101, 62, 134, 27, 99, 60, 132, 31, 103)(10, 82, 36, 108, 19, 91, 52, 124, 72, 144, 37, 109)(12, 84, 41, 113, 64, 136, 43, 115, 57, 129, 42, 114)(14, 86, 46, 118, 71, 143, 50, 122, 59, 131, 32, 104)(16, 88, 44, 116, 61, 133, 38, 110, 70, 142, 40, 112)(21, 93, 54, 126, 56, 128, 47, 119, 58, 130, 26, 98)(24, 96, 49, 121, 63, 135, 45, 117, 65, 137, 34, 106)(30, 102, 66, 138, 51, 123, 68, 140, 39, 111, 67, 139)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 170, 242)(153, 225, 176, 248)(154, 226, 174, 246)(155, 227, 183, 255)(157, 229, 187, 259)(159, 231, 193, 265)(160, 232, 191, 263)(161, 233, 182, 254)(163, 235, 190, 262)(164, 236, 181, 253)(165, 237, 195, 267)(166, 238, 188, 260)(167, 239, 169, 241)(168, 240, 180, 252)(171, 243, 203, 275)(172, 244, 201, 273)(173, 245, 208, 280)(175, 247, 212, 284)(177, 249, 214, 286)(178, 250, 213, 285)(179, 251, 207, 279)(184, 256, 206, 278)(185, 257, 202, 274)(186, 258, 216, 288)(189, 261, 204, 276)(192, 264, 211, 283)(194, 266, 200, 272)(196, 268, 205, 277)(197, 269, 215, 287)(198, 270, 209, 281)(199, 271, 210, 282)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 171)(8, 174)(9, 178)(10, 146)(11, 169)(12, 180)(13, 188)(14, 147)(15, 194)(16, 175)(17, 185)(18, 195)(19, 189)(20, 197)(21, 149)(22, 187)(23, 183)(24, 150)(25, 200)(26, 201)(27, 205)(28, 151)(29, 164)(30, 161)(31, 168)(32, 152)(33, 215)(34, 202)(35, 210)(36, 212)(37, 208)(38, 154)(39, 206)(40, 155)(41, 213)(42, 159)(43, 204)(44, 165)(45, 157)(46, 162)(47, 158)(48, 209)(49, 216)(50, 167)(51, 166)(52, 203)(53, 214)(54, 211)(55, 207)(56, 193)(57, 179)(58, 182)(59, 170)(60, 190)(61, 199)(62, 186)(63, 172)(64, 198)(65, 173)(66, 196)(67, 177)(68, 191)(69, 176)(70, 192)(71, 181)(72, 184)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1274
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y1 * Y2)^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, (Y1^-1 * Y3 * Y1 * Y3)^2, (Y3 * Y1^-1)^4, Y1 * Y2 * Y1^-1 * Y3 * Y1^-3 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 15, 87, 14, 86, 5, 77)(3, 75, 9, 81, 21, 93, 32, 104, 16, 88, 7, 79)(4, 76, 11, 83, 25, 97, 50, 122, 28, 100, 12, 84)(8, 80, 19, 91, 39, 111, 43, 115, 42, 114, 20, 92)(10, 82, 23, 95, 46, 118, 33, 105, 49, 121, 24, 96)(13, 85, 29, 101, 55, 127, 34, 106, 56, 128, 30, 102)(17, 89, 35, 107, 45, 117, 22, 94, 44, 116, 36, 108)(18, 90, 37, 109, 58, 130, 31, 103, 57, 129, 38, 110)(26, 98, 52, 124, 70, 142, 67, 139, 59, 131, 41, 113)(27, 99, 53, 125, 71, 143, 68, 140, 60, 132, 40, 112)(47, 119, 62, 134, 69, 141, 51, 123, 64, 136, 66, 138)(48, 120, 61, 133, 72, 144, 54, 126, 63, 135, 65, 137)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 153, 225)(150, 222, 160, 232)(152, 224, 162, 234)(155, 227, 168, 240)(156, 228, 167, 239)(157, 229, 166, 238)(158, 230, 165, 237)(159, 231, 176, 248)(161, 233, 178, 250)(163, 235, 182, 254)(164, 236, 181, 253)(169, 241, 193, 265)(170, 242, 192, 264)(171, 243, 191, 263)(172, 244, 190, 262)(173, 245, 189, 261)(174, 246, 188, 260)(175, 247, 187, 259)(177, 249, 194, 266)(179, 251, 199, 271)(180, 252, 200, 272)(183, 255, 201, 273)(184, 256, 206, 278)(185, 257, 205, 277)(186, 258, 202, 274)(195, 267, 212, 284)(196, 268, 209, 281)(197, 269, 210, 282)(198, 270, 211, 283)(203, 275, 216, 288)(204, 276, 213, 285)(207, 279, 214, 286)(208, 280, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 157)(6, 161)(7, 162)(8, 146)(9, 166)(10, 147)(11, 170)(12, 171)(13, 149)(14, 175)(15, 177)(16, 178)(17, 150)(18, 151)(19, 184)(20, 185)(21, 187)(22, 153)(23, 191)(24, 192)(25, 195)(26, 155)(27, 156)(28, 198)(29, 197)(30, 196)(31, 158)(32, 194)(33, 159)(34, 160)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 163)(41, 164)(42, 208)(43, 165)(44, 209)(45, 210)(46, 211)(47, 167)(48, 168)(49, 212)(50, 176)(51, 169)(52, 174)(53, 173)(54, 172)(55, 216)(56, 213)(57, 214)(58, 215)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 186)(65, 188)(66, 189)(67, 190)(68, 193)(69, 200)(70, 201)(71, 202)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1269
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, (Y1^2 * Y2)^2, Y3^6, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, Y1^6, (Y1^-1 * Y3^-2)^2, Y1^-2 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^3 * Y2 * Y3, Y1 * Y3^-1 * Y1^-2 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 25, 97, 20, 92, 5, 77)(3, 75, 11, 83, 37, 109, 52, 124, 26, 98, 13, 85)(4, 76, 15, 87, 45, 117, 44, 116, 28, 100, 17, 89)(6, 78, 22, 94, 56, 128, 30, 102, 61, 133, 23, 95)(8, 80, 29, 101, 18, 90, 53, 125, 48, 120, 31, 103)(9, 81, 32, 104, 67, 139, 66, 138, 46, 118, 34, 106)(10, 82, 14, 86, 19, 91, 55, 127, 60, 132, 35, 107)(12, 84, 40, 112, 59, 131, 21, 93, 58, 130, 42, 114)(16, 88, 49, 121, 62, 134, 36, 108, 64, 136, 51, 123)(24, 96, 38, 110, 63, 135, 43, 115, 69, 141, 33, 105)(27, 99, 54, 126, 50, 122, 70, 142, 57, 129, 39, 111)(41, 113, 71, 143, 68, 140, 47, 119, 72, 144, 65, 137)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 170, 242)(153, 225, 161, 233)(154, 226, 174, 246)(155, 227, 182, 254)(157, 229, 187, 259)(159, 231, 190, 262)(160, 232, 175, 247)(163, 235, 166, 238)(164, 236, 181, 253)(165, 237, 198, 270)(167, 239, 204, 276)(168, 240, 185, 257)(169, 241, 192, 264)(171, 243, 178, 250)(172, 244, 199, 271)(173, 245, 208, 280)(176, 248, 201, 273)(177, 249, 196, 268)(179, 251, 189, 261)(180, 252, 209, 281)(183, 255, 186, 258)(184, 256, 214, 286)(188, 260, 211, 283)(191, 263, 195, 267)(193, 265, 215, 287)(194, 266, 210, 282)(197, 269, 206, 278)(200, 272, 202, 274)(203, 275, 205, 277)(207, 279, 216, 288)(212, 284, 213, 285)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 171)(8, 174)(9, 177)(10, 146)(11, 183)(12, 185)(13, 166)(14, 147)(15, 191)(16, 194)(17, 152)(18, 198)(19, 187)(20, 200)(21, 149)(22, 162)(23, 155)(24, 150)(25, 186)(26, 199)(27, 206)(28, 151)(29, 202)(30, 209)(31, 158)(32, 212)(33, 184)(34, 170)(35, 173)(36, 154)(37, 176)(38, 204)(39, 192)(40, 180)(41, 210)(42, 182)(43, 211)(44, 157)(45, 213)(46, 169)(47, 167)(48, 159)(49, 165)(50, 168)(51, 190)(52, 161)(53, 178)(54, 215)(55, 216)(56, 208)(57, 164)(58, 181)(59, 197)(60, 195)(61, 207)(62, 205)(63, 172)(64, 189)(65, 214)(66, 175)(67, 193)(68, 179)(69, 201)(70, 196)(71, 188)(72, 203)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1273
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y1^2 * Y2)^2, Y3^6, (Y3 * Y1^-1 * Y3)^2, Y1^6, Y3 * Y1^-1 * Y2 * Y3 * Y1^-3, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^3, Y1^-2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 25, 97, 20, 92, 5, 77)(3, 75, 11, 83, 37, 109, 46, 118, 26, 98, 13, 85)(4, 76, 15, 87, 45, 117, 38, 110, 51, 123, 17, 89)(6, 78, 22, 94, 60, 132, 53, 125, 27, 99, 23, 95)(8, 80, 29, 101, 18, 90, 44, 116, 52, 124, 31, 103)(9, 81, 14, 86, 21, 93, 58, 130, 61, 133, 33, 105)(10, 82, 34, 106, 41, 113, 12, 84, 39, 111, 35, 107)(16, 88, 47, 119, 62, 134, 59, 131, 66, 138, 36, 108)(19, 91, 54, 126, 49, 121, 71, 143, 68, 140, 56, 128)(24, 96, 55, 127, 64, 136, 32, 104, 67, 139, 42, 114)(28, 100, 63, 135, 48, 120, 30, 102, 57, 129, 43, 115)(40, 112, 70, 142, 69, 141, 50, 122, 72, 144, 65, 137)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 170, 242)(153, 225, 167, 239)(154, 226, 174, 246)(155, 227, 176, 248)(157, 229, 186, 258)(159, 231, 163, 235)(160, 232, 188, 260)(161, 233, 193, 265)(164, 236, 181, 253)(165, 237, 197, 269)(166, 238, 205, 277)(168, 240, 184, 256)(169, 241, 196, 268)(171, 243, 179, 251)(172, 244, 200, 272)(173, 245, 206, 278)(175, 247, 210, 282)(177, 249, 189, 261)(178, 250, 204, 276)(180, 252, 209, 281)(182, 254, 212, 284)(183, 255, 187, 259)(185, 257, 207, 279)(190, 262, 199, 271)(191, 263, 194, 266)(192, 264, 215, 287)(195, 267, 202, 274)(198, 270, 201, 273)(203, 275, 214, 286)(208, 280, 216, 288)(211, 283, 213, 285)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 171)(8, 174)(9, 176)(10, 146)(11, 167)(12, 184)(13, 187)(14, 147)(15, 162)(16, 192)(17, 194)(18, 197)(19, 199)(20, 201)(21, 149)(22, 157)(23, 152)(24, 150)(25, 183)(26, 200)(27, 206)(28, 151)(29, 179)(30, 209)(31, 198)(32, 212)(33, 213)(34, 175)(35, 170)(36, 154)(37, 177)(38, 155)(39, 186)(40, 215)(41, 203)(42, 205)(43, 196)(44, 158)(45, 164)(46, 159)(47, 193)(48, 168)(49, 169)(50, 166)(51, 208)(52, 161)(53, 214)(54, 181)(55, 185)(56, 216)(57, 210)(58, 173)(59, 165)(60, 211)(61, 191)(62, 195)(63, 190)(64, 172)(65, 182)(66, 204)(67, 189)(68, 180)(69, 178)(70, 207)(71, 188)(72, 202)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1271
Graph:: simple bipartite
	v = 48 e = 144 f = 54
	degree seq :: [ 4^36, 12^12 ]

E22.1281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ Y3^2, R^2, R * Y2 * R * Y2^-1, (Y1^-1 * Y3)^2, (Y2 * Y3)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y3 * Y2^-3 * Y1^-2, Y1 * Y2 * Y3 * Y2^-2 * Y1, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y2^6, Y1^-2 * Y3 * Y2^3, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 5, 77)(3, 75, 11, 83, 24, 96, 14, 86)(4, 76, 15, 87, 23, 95, 9, 81)(6, 78, 19, 91, 22, 94, 20, 92)(8, 80, 25, 97, 18, 90, 28, 100)(10, 82, 30, 102, 17, 89, 31, 103)(12, 84, 36, 108, 16, 88, 37, 109)(13, 85, 38, 110, 21, 93, 34, 106)(26, 98, 48, 120, 29, 101, 49, 121)(27, 99, 50, 122, 32, 104, 46, 118)(33, 105, 53, 125, 40, 112, 56, 128)(35, 107, 45, 117, 39, 111, 52, 124)(41, 113, 54, 126, 44, 116, 55, 127)(42, 114, 47, 119, 43, 115, 51, 123)(57, 129, 66, 138, 59, 131, 68, 140)(58, 130, 71, 143, 60, 132, 70, 142)(61, 133, 65, 137, 64, 136, 67, 139)(62, 134, 72, 144, 63, 135, 69, 141)(145, 217, 147, 219, 156, 228, 167, 239, 165, 237, 150, 222)(146, 218, 152, 224, 170, 242, 159, 231, 176, 248, 154, 226)(148, 220, 160, 232, 168, 240, 151, 223, 166, 238, 157, 229)(149, 221, 161, 233, 171, 243, 153, 225, 173, 245, 162, 234)(155, 227, 177, 249, 201, 273, 182, 254, 204, 276, 179, 251)(158, 230, 183, 255, 202, 274, 178, 250, 203, 275, 184, 256)(163, 235, 185, 257, 208, 280, 181, 253, 207, 279, 186, 258)(164, 236, 187, 259, 206, 278, 180, 252, 205, 277, 188, 260)(169, 241, 189, 261, 209, 281, 194, 266, 212, 284, 191, 263)(172, 244, 195, 267, 210, 282, 190, 262, 211, 283, 196, 268)(174, 246, 197, 269, 216, 288, 193, 265, 215, 287, 198, 270)(175, 247, 199, 271, 214, 286, 192, 264, 213, 285, 200, 272)
	L = (1, 148)(2, 153)(3, 157)(4, 145)(5, 159)(6, 160)(7, 167)(8, 171)(9, 146)(10, 173)(11, 178)(12, 166)(13, 147)(14, 182)(15, 149)(16, 150)(17, 170)(18, 176)(19, 180)(20, 181)(21, 168)(22, 156)(23, 151)(24, 165)(25, 190)(26, 161)(27, 152)(28, 194)(29, 154)(30, 192)(31, 193)(32, 162)(33, 202)(34, 155)(35, 203)(36, 163)(37, 164)(38, 158)(39, 201)(40, 204)(41, 206)(42, 205)(43, 208)(44, 207)(45, 210)(46, 169)(47, 211)(48, 174)(49, 175)(50, 172)(51, 209)(52, 212)(53, 214)(54, 213)(55, 216)(56, 215)(57, 183)(58, 177)(59, 179)(60, 184)(61, 186)(62, 185)(63, 188)(64, 187)(65, 195)(66, 189)(67, 191)(68, 196)(69, 198)(70, 197)(71, 200)(72, 199)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1266
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 8^18, 12^12 ]

E22.1282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y1 * Y2^-1)^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y2^6, R * Y1 * Y2^-1 * R * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2, Y1^-1)^2, Y2^-1 * Y1 * R * Y2 * Y1 * Y2^-2 * R, (Y2^2 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 19, 91, 8, 80)(5, 77, 11, 83, 25, 97, 13, 85)(7, 79, 17, 89, 34, 106, 16, 88)(10, 82, 23, 95, 35, 107, 22, 94)(12, 84, 15, 87, 32, 104, 27, 99)(14, 86, 29, 101, 33, 105, 31, 103)(18, 90, 38, 110, 28, 100, 37, 109)(20, 92, 40, 112, 26, 98, 42, 114)(21, 93, 43, 115, 62, 134, 41, 113)(24, 96, 47, 119, 63, 135, 46, 118)(30, 102, 48, 120, 66, 138, 51, 123)(36, 108, 57, 129, 69, 141, 56, 128)(39, 111, 61, 133, 44, 116, 60, 132)(45, 117, 58, 130, 53, 125, 55, 127)(49, 121, 59, 131, 52, 124, 64, 136)(50, 122, 54, 126, 68, 140, 67, 139)(65, 137, 71, 143, 72, 144, 70, 142)(145, 217, 147, 219, 154, 226, 168, 240, 158, 230, 149, 221)(146, 218, 151, 223, 162, 234, 183, 255, 164, 236, 152, 224)(148, 220, 155, 227, 170, 242, 193, 265, 172, 244, 156, 228)(150, 222, 159, 231, 177, 249, 199, 271, 179, 251, 160, 232)(153, 225, 165, 237, 188, 260, 200, 272, 178, 250, 166, 238)(157, 229, 173, 245, 176, 248, 198, 270, 196, 268, 174, 246)(161, 233, 180, 252, 202, 274, 194, 266, 171, 243, 181, 253)(163, 235, 184, 256, 169, 241, 192, 264, 207, 279, 185, 257)(167, 239, 189, 261, 201, 273, 214, 286, 206, 278, 190, 262)(175, 247, 191, 263, 210, 282, 215, 287, 211, 283, 197, 269)(182, 254, 203, 275, 212, 284, 216, 288, 213, 285, 204, 276)(186, 258, 205, 277, 187, 259, 209, 281, 195, 267, 208, 280)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 148)(7, 161)(8, 147)(9, 163)(10, 167)(11, 169)(12, 159)(13, 149)(14, 173)(15, 176)(16, 151)(17, 178)(18, 182)(19, 152)(20, 184)(21, 187)(22, 154)(23, 179)(24, 191)(25, 157)(26, 186)(27, 156)(28, 181)(29, 177)(30, 192)(31, 158)(32, 171)(33, 175)(34, 160)(35, 166)(36, 201)(37, 162)(38, 172)(39, 205)(40, 170)(41, 165)(42, 164)(43, 206)(44, 204)(45, 202)(46, 168)(47, 207)(48, 210)(49, 203)(50, 198)(51, 174)(52, 208)(53, 199)(54, 212)(55, 189)(56, 180)(57, 213)(58, 197)(59, 196)(60, 183)(61, 188)(62, 185)(63, 190)(64, 193)(65, 215)(66, 195)(67, 194)(68, 211)(69, 200)(70, 209)(71, 216)(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) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1267
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 8^18, 12^12 ]

E22.1283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 6})
Quotient :: dipole
Aut^+ = (S3 x S3) : C2 (small group id <72, 40>)
Aut   = C2 x ((S3 x S3) : C2) (small group id <144, 186>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, Y3^4, (Y1^-1 * Y3)^3, (R * Y2 * Y3^-1)^2, Y3 * Y2^4 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y1^-1, Y3^2 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 8, 80, 5, 77)(3, 75, 13, 85, 37, 109, 16, 88)(4, 76, 17, 89, 38, 110, 20, 92)(6, 78, 21, 93, 29, 101, 9, 81)(7, 79, 23, 95, 32, 104, 10, 82)(11, 83, 33, 105, 22, 94, 25, 97)(12, 84, 35, 107, 49, 121, 26, 98)(14, 86, 28, 100, 51, 123, 42, 114)(15, 87, 27, 99, 50, 122, 34, 106)(18, 90, 43, 115, 55, 127, 36, 108)(19, 91, 44, 116, 61, 133, 46, 118)(24, 96, 40, 112, 59, 131, 45, 117)(30, 102, 53, 125, 65, 137, 52, 124)(31, 103, 54, 126, 67, 139, 56, 128)(39, 111, 47, 119, 63, 135, 57, 129)(41, 113, 58, 130, 70, 142, 60, 132)(48, 120, 64, 136, 71, 143, 66, 138)(62, 134, 69, 141, 72, 144, 68, 140)(145, 217, 147, 219, 158, 230, 184, 256, 167, 239, 150, 222)(146, 218, 153, 225, 148, 220, 162, 234, 179, 251, 155, 227)(149, 221, 159, 231, 170, 242, 191, 263, 182, 254, 157, 229)(151, 223, 166, 238, 175, 247, 199, 271, 188, 260, 165, 237)(152, 224, 169, 241, 154, 226, 174, 246, 195, 267, 171, 243)(156, 228, 178, 250, 192, 264, 209, 281, 198, 270, 177, 249)(160, 232, 185, 257, 201, 273, 208, 280, 194, 266, 172, 244)(161, 233, 173, 245, 163, 235, 189, 261, 202, 274, 181, 253)(164, 236, 183, 255, 204, 276, 213, 285, 205, 277, 187, 259)(168, 240, 190, 262, 206, 278, 211, 283, 197, 269, 176, 248)(180, 252, 200, 272, 212, 284, 215, 287, 207, 279, 193, 265)(186, 258, 196, 268, 210, 282, 216, 288, 214, 286, 203, 275)
	L = (1, 148)(2, 154)(3, 159)(4, 163)(5, 158)(6, 166)(7, 145)(8, 170)(9, 147)(10, 175)(11, 178)(12, 146)(13, 173)(14, 185)(15, 169)(16, 184)(17, 149)(18, 183)(19, 151)(20, 179)(21, 189)(22, 174)(23, 190)(24, 150)(25, 153)(26, 192)(27, 160)(28, 152)(29, 162)(30, 168)(31, 156)(32, 195)(33, 199)(34, 191)(35, 200)(36, 155)(37, 201)(38, 204)(39, 157)(40, 196)(41, 161)(42, 167)(43, 165)(44, 164)(45, 206)(46, 202)(47, 180)(48, 172)(49, 182)(50, 209)(51, 210)(52, 171)(53, 177)(54, 176)(55, 212)(56, 188)(57, 213)(58, 186)(59, 181)(60, 208)(61, 211)(62, 187)(63, 194)(64, 193)(65, 216)(66, 198)(67, 215)(68, 197)(69, 203)(70, 205)(71, 214)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1268
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 8^18, 12^12 ]

E22.1284 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 8})
Quotient :: edge
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1^-1, T1^6, T2^2 * T1^-2 * T2^2 * T1, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 31, 18, 46, 17, 5)(2, 7, 22, 38, 13, 37, 26, 8)(4, 12, 30, 20, 6, 19, 41, 14)(9, 28, 42, 65, 33, 45, 16, 29)(11, 32, 44, 61, 27, 43, 15, 34)(21, 52, 57, 72, 55, 60, 25, 53)(23, 54, 59, 71, 51, 58, 24, 56)(35, 62, 50, 69, 47, 68, 40, 63)(36, 64, 49, 70, 48, 67, 39, 66)(73, 74, 78, 90, 85, 76)(75, 81, 99, 118, 105, 83)(77, 87, 114, 103, 116, 88)(79, 93, 123, 109, 127, 95)(80, 96, 129, 110, 131, 97)(82, 102, 98, 89, 113, 94)(84, 107, 120, 91, 119, 108)(86, 111, 122, 92, 121, 112)(100, 134, 132, 117, 140, 124)(101, 125, 141, 137, 144, 135)(104, 136, 130, 115, 139, 126)(106, 128, 142, 133, 143, 138)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 16^6 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1285
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 72 f = 9
	degree seq :: [ 6^12, 8^9 ]

E22.1285 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 8})
Quotient :: loop
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1^-1 * T2^-2 * T1^-1, T1^6, T2^2 * T1^-2 * T2^2 * T1, T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2^8 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 31, 103, 18, 90, 46, 118, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 38, 110, 13, 85, 37, 109, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 20, 92, 6, 78, 19, 91, 41, 113, 14, 86)(9, 81, 28, 100, 42, 114, 65, 137, 33, 105, 45, 117, 16, 88, 29, 101)(11, 83, 32, 104, 44, 116, 61, 133, 27, 99, 43, 115, 15, 87, 34, 106)(21, 93, 52, 124, 57, 129, 72, 144, 55, 127, 60, 132, 25, 97, 53, 125)(23, 95, 54, 126, 59, 131, 71, 143, 51, 123, 58, 130, 24, 96, 56, 128)(35, 107, 62, 134, 50, 122, 69, 141, 47, 119, 68, 140, 40, 112, 63, 135)(36, 108, 64, 136, 49, 121, 70, 142, 48, 120, 67, 139, 39, 111, 66, 138)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 102)(11, 75)(12, 107)(13, 76)(14, 111)(15, 114)(16, 77)(17, 113)(18, 85)(19, 119)(20, 121)(21, 123)(22, 82)(23, 79)(24, 129)(25, 80)(26, 89)(27, 118)(28, 134)(29, 125)(30, 98)(31, 116)(32, 136)(33, 83)(34, 128)(35, 120)(36, 84)(37, 127)(38, 131)(39, 122)(40, 86)(41, 94)(42, 103)(43, 139)(44, 88)(45, 140)(46, 105)(47, 108)(48, 91)(49, 112)(50, 92)(51, 109)(52, 100)(53, 141)(54, 104)(55, 95)(56, 142)(57, 110)(58, 115)(59, 97)(60, 117)(61, 143)(62, 132)(63, 101)(64, 130)(65, 144)(66, 106)(67, 126)(68, 124)(69, 137)(70, 133)(71, 138)(72, 135)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1284
Transitivity :: ET+ VT+ AT
Graph::
	v = 9 e = 72 f = 21
	degree seq :: [ 16^9 ]

E22.1286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y1^-1 * Y2^-2, (Y1^-2 * Y3)^2, Y1^6, Y2^2 * Y3 * Y2^-2 * Y1^-1, Y2 * Y3^2 * Y2^2 * Y3^-1 * Y2, Y2^3 * Y1^2 * Y3^-1 * Y2, Y2 * R * Y2^-2 * Y1^-1 * R * Y2, Y1 * Y2^2 * Y3 * Y2^2 * Y3^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y3^2 * Y2^-1 * Y1 * Y3^-2 * Y2 * Y1^-1, Y3^2 * Y2 * Y1 * Y3^-2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 46, 118, 33, 105, 11, 83)(5, 77, 15, 87, 42, 114, 31, 103, 44, 116, 16, 88)(7, 79, 21, 93, 51, 123, 37, 109, 55, 127, 23, 95)(8, 80, 24, 96, 57, 129, 38, 110, 59, 131, 25, 97)(10, 82, 30, 102, 26, 98, 17, 89, 41, 113, 22, 94)(12, 84, 35, 107, 48, 120, 19, 91, 47, 119, 36, 108)(14, 86, 39, 111, 50, 122, 20, 92, 49, 121, 40, 112)(28, 100, 62, 134, 60, 132, 45, 117, 68, 140, 52, 124)(29, 101, 53, 125, 69, 141, 65, 137, 72, 144, 63, 135)(32, 104, 64, 136, 58, 130, 43, 115, 67, 139, 54, 126)(34, 106, 56, 128, 70, 142, 61, 133, 71, 143, 66, 138)(145, 217, 147, 219, 154, 226, 175, 247, 162, 234, 190, 262, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 182, 254, 157, 229, 181, 253, 170, 242, 152, 224)(148, 220, 156, 228, 174, 246, 164, 236, 150, 222, 163, 235, 185, 257, 158, 230)(153, 225, 172, 244, 186, 258, 209, 281, 177, 249, 189, 261, 160, 232, 173, 245)(155, 227, 176, 248, 188, 260, 205, 277, 171, 243, 187, 259, 159, 231, 178, 250)(165, 237, 196, 268, 201, 273, 216, 288, 199, 271, 204, 276, 169, 241, 197, 269)(167, 239, 198, 270, 203, 275, 215, 287, 195, 267, 202, 274, 168, 240, 200, 272)(179, 251, 206, 278, 194, 266, 213, 285, 191, 263, 212, 284, 184, 256, 207, 279)(180, 252, 208, 280, 193, 265, 214, 286, 192, 264, 211, 283, 183, 255, 210, 282)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 166)(11, 177)(12, 180)(13, 162)(14, 184)(15, 149)(16, 188)(17, 170)(18, 150)(19, 192)(20, 194)(21, 151)(22, 185)(23, 199)(24, 152)(25, 203)(26, 174)(27, 153)(28, 196)(29, 207)(30, 154)(31, 186)(32, 198)(33, 190)(34, 210)(35, 156)(36, 191)(37, 195)(38, 201)(39, 158)(40, 193)(41, 161)(42, 159)(43, 202)(44, 175)(45, 204)(46, 171)(47, 163)(48, 179)(49, 164)(50, 183)(51, 165)(52, 212)(53, 173)(54, 211)(55, 181)(56, 178)(57, 168)(58, 208)(59, 182)(60, 206)(61, 214)(62, 172)(63, 216)(64, 176)(65, 213)(66, 215)(67, 187)(68, 189)(69, 197)(70, 200)(71, 205)(72, 209)(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, 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 E22.1287
Graph:: bipartite
	v = 21 e = 144 f = 81
	degree seq :: [ 12^12, 16^9 ]

E22.1287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 8})
Quotient :: dipole
Aut^+ = (C3 x C3) : C8 (small group id <72, 19>)
Aut   = ((C3 x C3) : C8) : C2 (small group id <144, 117>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, Y3^6, Y1 * Y3 * Y1^2 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, Y1^8, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 30, 102, 38, 110, 13, 85, 4, 76)(3, 75, 9, 81, 20, 92, 46, 118, 17, 89, 45, 117, 33, 105, 11, 83)(5, 77, 15, 87, 19, 91, 31, 103, 10, 82, 29, 101, 37, 109, 16, 88)(7, 79, 21, 93, 35, 107, 56, 128, 26, 98, 39, 111, 14, 86, 23, 95)(8, 80, 24, 96, 40, 112, 49, 121, 22, 94, 36, 108, 12, 84, 25, 97)(27, 99, 48, 120, 63, 135, 72, 144, 58, 130, 65, 137, 34, 106, 50, 122)(28, 100, 53, 125, 66, 138, 69, 141, 57, 129, 64, 136, 32, 104, 54, 126)(41, 113, 47, 119, 62, 134, 71, 143, 59, 131, 68, 140, 44, 116, 51, 123)(42, 114, 52, 124, 61, 133, 70, 142, 60, 132, 67, 139, 43, 115, 55, 127)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 174)(11, 176)(12, 179)(13, 181)(14, 148)(15, 185)(16, 187)(17, 149)(18, 184)(19, 177)(20, 150)(21, 191)(22, 182)(23, 194)(24, 196)(25, 198)(26, 152)(27, 201)(28, 153)(29, 203)(30, 161)(31, 205)(32, 207)(33, 157)(34, 155)(35, 162)(36, 211)(37, 164)(38, 170)(39, 212)(40, 158)(41, 204)(42, 159)(43, 206)(44, 160)(45, 202)(46, 210)(47, 209)(48, 165)(49, 213)(50, 215)(51, 167)(52, 208)(53, 168)(54, 214)(55, 169)(56, 216)(57, 189)(58, 172)(59, 186)(60, 173)(61, 188)(62, 175)(63, 190)(64, 180)(65, 183)(66, 178)(67, 197)(68, 192)(69, 199)(70, 193)(71, 200)(72, 195)(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) :: { ( 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1286
Graph:: simple bipartite
	v = 81 e = 144 f = 21
	degree seq :: [ 2^72, 16^9 ]

E22.1288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * 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 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 13, 85)(6, 78, 14, 86)(7, 79, 17, 89)(8, 80, 18, 90)(10, 82, 16, 88)(11, 83, 15, 87)(19, 91, 25, 97)(20, 92, 26, 98)(21, 93, 27, 99)(22, 94, 28, 100)(23, 95, 29, 101)(24, 96, 30, 102)(31, 103, 37, 109)(32, 104, 38, 110)(33, 105, 39, 111)(34, 106, 40, 112)(35, 107, 41, 113)(36, 108, 42, 114)(43, 115, 49, 121)(44, 116, 50, 122)(45, 117, 51, 123)(46, 118, 52, 124)(47, 119, 53, 125)(48, 120, 54, 126)(55, 127, 61, 133)(56, 128, 62, 134)(57, 129, 63, 135)(58, 130, 64, 136)(59, 131, 65, 137)(60, 132, 66, 138)(67, 139, 70, 142)(68, 140, 72, 144)(69, 141, 71, 143)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 154, 226)(149, 221, 155, 227)(151, 223, 159, 231)(152, 224, 160, 232)(153, 225, 163, 235)(156, 228, 165, 237)(157, 229, 164, 236)(158, 230, 166, 238)(161, 233, 168, 240)(162, 234, 167, 239)(169, 241, 175, 247)(170, 242, 177, 249)(171, 243, 176, 248)(172, 244, 178, 250)(173, 245, 180, 252)(174, 246, 179, 251)(181, 253, 187, 259)(182, 254, 189, 261)(183, 255, 188, 260)(184, 256, 190, 262)(185, 257, 192, 264)(186, 258, 191, 263)(193, 265, 199, 271)(194, 266, 201, 273)(195, 267, 200, 272)(196, 268, 202, 274)(197, 269, 204, 276)(198, 270, 203, 275)(205, 277, 211, 283)(206, 278, 213, 285)(207, 279, 212, 284)(208, 280, 214, 286)(209, 281, 216, 288)(210, 282, 215, 287)
	L = (1, 148)(2, 151)(3, 154)(4, 155)(5, 145)(6, 159)(7, 160)(8, 146)(9, 164)(10, 149)(11, 147)(12, 163)(13, 165)(14, 167)(15, 152)(16, 150)(17, 166)(18, 168)(19, 157)(20, 156)(21, 153)(22, 162)(23, 161)(24, 158)(25, 176)(26, 175)(27, 177)(28, 179)(29, 178)(30, 180)(31, 171)(32, 170)(33, 169)(34, 174)(35, 173)(36, 172)(37, 188)(38, 187)(39, 189)(40, 191)(41, 190)(42, 192)(43, 183)(44, 182)(45, 181)(46, 186)(47, 185)(48, 184)(49, 200)(50, 199)(51, 201)(52, 203)(53, 202)(54, 204)(55, 195)(56, 194)(57, 193)(58, 198)(59, 197)(60, 196)(61, 212)(62, 211)(63, 213)(64, 215)(65, 214)(66, 216)(67, 207)(68, 206)(69, 205)(70, 210)(71, 209)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1314
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 13, 85)(6, 78, 14, 86)(7, 79, 17, 89)(8, 80, 18, 90)(10, 82, 22, 94)(11, 83, 23, 95)(15, 87, 33, 105)(16, 88, 34, 106)(19, 91, 30, 102)(20, 92, 35, 107)(21, 93, 38, 110)(24, 96, 31, 103)(25, 97, 36, 108)(26, 98, 39, 111)(27, 99, 32, 104)(28, 100, 37, 109)(29, 101, 40, 112)(41, 113, 55, 127)(42, 114, 58, 130)(43, 115, 53, 125)(44, 116, 61, 133)(45, 117, 63, 135)(46, 118, 54, 126)(47, 119, 62, 134)(48, 120, 64, 136)(49, 121, 56, 128)(50, 122, 59, 131)(51, 123, 57, 129)(52, 124, 60, 132)(65, 137, 69, 141)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 154, 226)(149, 221, 155, 227)(151, 223, 159, 231)(152, 224, 160, 232)(153, 225, 163, 235)(156, 228, 168, 240)(157, 229, 171, 243)(158, 230, 174, 246)(161, 233, 179, 251)(162, 234, 182, 254)(164, 236, 185, 257)(165, 237, 186, 258)(166, 238, 187, 259)(167, 239, 190, 262)(169, 241, 193, 265)(170, 242, 194, 266)(172, 244, 195, 267)(173, 245, 196, 268)(175, 247, 197, 269)(176, 248, 198, 270)(177, 249, 199, 271)(178, 250, 202, 274)(180, 252, 205, 277)(181, 253, 206, 278)(183, 255, 207, 279)(184, 256, 208, 280)(188, 260, 209, 281)(189, 261, 210, 282)(191, 263, 211, 283)(192, 264, 212, 284)(200, 272, 213, 285)(201, 273, 214, 286)(203, 275, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 155)(5, 145)(6, 159)(7, 160)(8, 146)(9, 164)(10, 149)(11, 147)(12, 169)(13, 172)(14, 175)(15, 152)(16, 150)(17, 180)(18, 183)(19, 185)(20, 186)(21, 153)(22, 188)(23, 191)(24, 193)(25, 194)(26, 156)(27, 195)(28, 196)(29, 157)(30, 197)(31, 198)(32, 158)(33, 200)(34, 203)(35, 205)(36, 206)(37, 161)(38, 207)(39, 208)(40, 162)(41, 165)(42, 163)(43, 209)(44, 210)(45, 166)(46, 211)(47, 212)(48, 167)(49, 170)(50, 168)(51, 173)(52, 171)(53, 176)(54, 174)(55, 213)(56, 214)(57, 177)(58, 215)(59, 216)(60, 178)(61, 181)(62, 179)(63, 184)(64, 182)(65, 189)(66, 187)(67, 192)(68, 190)(69, 201)(70, 199)(71, 204)(72, 202)(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) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1315
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 18, 90)(12, 84, 17, 89)(13, 85, 22, 94)(14, 86, 21, 93)(15, 87, 20, 92)(16, 88, 19, 91)(23, 95, 30, 102)(24, 96, 29, 101)(25, 97, 34, 106)(26, 98, 33, 105)(27, 99, 32, 104)(28, 100, 31, 103)(35, 107, 42, 114)(36, 108, 41, 113)(37, 109, 46, 118)(38, 110, 45, 117)(39, 111, 44, 116)(40, 112, 43, 115)(47, 119, 54, 126)(48, 120, 53, 125)(49, 121, 58, 130)(50, 122, 57, 129)(51, 123, 56, 128)(52, 124, 55, 127)(59, 131, 65, 137)(60, 132, 64, 136)(61, 133, 66, 138)(62, 134, 68, 140)(63, 135, 67, 139)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 171, 243)(163, 235, 173, 245, 176, 248)(166, 238, 174, 246, 177, 249)(169, 241, 179, 251, 182, 254)(172, 244, 180, 252, 183, 255)(175, 247, 185, 257, 188, 260)(178, 250, 186, 258, 189, 261)(181, 253, 191, 263, 194, 266)(184, 256, 192, 264, 195, 267)(187, 259, 197, 269, 200, 272)(190, 262, 198, 270, 201, 273)(193, 265, 203, 275, 206, 278)(196, 268, 204, 276, 207, 279)(199, 271, 208, 280, 211, 283)(202, 274, 209, 281, 212, 284)(205, 277, 213, 285, 214, 286)(210, 282, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 157)(5, 158)(6, 145)(7, 161)(8, 163)(9, 164)(10, 146)(11, 167)(12, 147)(13, 169)(14, 170)(15, 149)(16, 150)(17, 173)(18, 151)(19, 175)(20, 176)(21, 153)(22, 154)(23, 179)(24, 156)(25, 181)(26, 182)(27, 159)(28, 160)(29, 185)(30, 162)(31, 187)(32, 188)(33, 165)(34, 166)(35, 191)(36, 168)(37, 193)(38, 194)(39, 171)(40, 172)(41, 197)(42, 174)(43, 199)(44, 200)(45, 177)(46, 178)(47, 203)(48, 180)(49, 205)(50, 206)(51, 183)(52, 184)(53, 208)(54, 186)(55, 210)(56, 211)(57, 189)(58, 190)(59, 213)(60, 192)(61, 196)(62, 214)(63, 195)(64, 215)(65, 198)(66, 202)(67, 216)(68, 201)(69, 204)(70, 207)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1305
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y2 * Y1)^2, Y3^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 21, 93)(12, 84, 19, 91)(13, 85, 18, 90)(14, 86, 22, 94)(15, 87, 17, 89)(16, 88, 20, 92)(23, 95, 33, 105)(24, 96, 31, 103)(25, 97, 30, 102)(26, 98, 34, 106)(27, 99, 29, 101)(28, 100, 32, 104)(35, 107, 45, 117)(36, 108, 43, 115)(37, 109, 42, 114)(38, 110, 46, 118)(39, 111, 41, 113)(40, 112, 44, 116)(47, 119, 57, 129)(48, 120, 55, 127)(49, 121, 54, 126)(50, 122, 58, 130)(51, 123, 53, 125)(52, 124, 56, 128)(59, 131, 68, 140)(60, 132, 66, 138)(61, 133, 65, 137)(62, 134, 67, 139)(63, 135, 64, 136)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 155, 227)(150, 222, 159, 231, 156, 228)(152, 224, 163, 235, 161, 233)(154, 226, 165, 237, 162, 234)(158, 230, 167, 239, 169, 241)(160, 232, 168, 240, 171, 243)(164, 236, 173, 245, 175, 247)(166, 238, 174, 246, 177, 249)(170, 242, 181, 253, 179, 251)(172, 244, 183, 255, 180, 252)(176, 248, 187, 259, 185, 257)(178, 250, 189, 261, 186, 258)(182, 254, 191, 263, 193, 265)(184, 256, 192, 264, 195, 267)(188, 260, 197, 269, 199, 271)(190, 262, 198, 270, 201, 273)(194, 266, 205, 277, 203, 275)(196, 268, 207, 279, 204, 276)(200, 272, 210, 282, 208, 280)(202, 274, 212, 284, 209, 281)(206, 278, 213, 285, 214, 286)(211, 283, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 157)(6, 145)(7, 161)(8, 164)(9, 163)(10, 146)(11, 167)(12, 147)(13, 169)(14, 170)(15, 149)(16, 150)(17, 173)(18, 151)(19, 175)(20, 176)(21, 153)(22, 154)(23, 179)(24, 156)(25, 181)(26, 182)(27, 159)(28, 160)(29, 185)(30, 162)(31, 187)(32, 188)(33, 165)(34, 166)(35, 191)(36, 168)(37, 193)(38, 194)(39, 171)(40, 172)(41, 197)(42, 174)(43, 199)(44, 200)(45, 177)(46, 178)(47, 203)(48, 180)(49, 205)(50, 206)(51, 183)(52, 184)(53, 208)(54, 186)(55, 210)(56, 211)(57, 189)(58, 190)(59, 213)(60, 192)(61, 214)(62, 196)(63, 195)(64, 215)(65, 198)(66, 216)(67, 202)(68, 201)(69, 204)(70, 207)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1307
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 18, 90)(9, 81, 23, 95)(12, 84, 28, 100)(13, 85, 26, 98)(14, 86, 21, 93)(15, 87, 31, 103)(17, 89, 33, 105)(19, 91, 38, 110)(20, 92, 36, 108)(22, 94, 41, 113)(24, 96, 43, 115)(25, 97, 35, 107)(27, 99, 42, 114)(29, 101, 47, 119)(30, 102, 50, 122)(32, 104, 37, 109)(34, 106, 44, 116)(39, 111, 57, 129)(40, 112, 60, 132)(45, 117, 56, 128)(46, 118, 55, 127)(48, 120, 61, 133)(49, 121, 63, 135)(51, 123, 58, 130)(52, 124, 64, 136)(53, 125, 59, 131)(54, 126, 62, 134)(65, 137, 69, 141)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 163, 235, 166, 238)(154, 226, 164, 236, 168, 240)(155, 227, 169, 241, 171, 243)(158, 230, 173, 245, 174, 246)(160, 232, 176, 248, 178, 250)(162, 234, 179, 251, 181, 253)(165, 237, 183, 255, 184, 256)(167, 239, 186, 258, 188, 260)(170, 242, 189, 261, 192, 264)(172, 244, 190, 262, 193, 265)(175, 247, 195, 267, 196, 268)(177, 249, 197, 269, 198, 270)(180, 252, 199, 271, 202, 274)(182, 254, 200, 272, 203, 275)(185, 257, 205, 277, 206, 278)(187, 259, 207, 279, 208, 280)(191, 263, 209, 281, 210, 282)(194, 266, 211, 283, 212, 284)(201, 273, 213, 285, 214, 286)(204, 276, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 163)(8, 165)(9, 166)(10, 146)(11, 170)(12, 173)(13, 147)(14, 150)(15, 174)(16, 177)(17, 149)(18, 180)(19, 183)(20, 151)(21, 154)(22, 184)(23, 187)(24, 153)(25, 189)(26, 191)(27, 192)(28, 155)(29, 157)(30, 161)(31, 160)(32, 197)(33, 194)(34, 198)(35, 199)(36, 201)(37, 202)(38, 162)(39, 164)(40, 168)(41, 167)(42, 207)(43, 204)(44, 208)(45, 209)(46, 169)(47, 172)(48, 210)(49, 171)(50, 175)(51, 176)(52, 178)(53, 211)(54, 212)(55, 213)(56, 179)(57, 182)(58, 214)(59, 181)(60, 185)(61, 186)(62, 188)(63, 215)(64, 216)(65, 190)(66, 193)(67, 195)(68, 196)(69, 200)(70, 203)(71, 205)(72, 206)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1302
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y3^4, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 26, 98)(12, 84, 25, 97)(13, 85, 28, 100)(14, 86, 23, 95)(15, 87, 27, 99)(16, 88, 21, 93)(17, 89, 20, 92)(18, 90, 24, 96)(19, 91, 22, 94)(29, 101, 56, 128)(30, 102, 50, 122)(31, 103, 55, 127)(32, 104, 54, 126)(33, 105, 53, 125)(34, 106, 51, 123)(35, 107, 52, 124)(36, 108, 44, 116)(37, 109, 48, 120)(38, 110, 49, 121)(39, 111, 47, 119)(40, 112, 46, 118)(41, 113, 45, 117)(42, 114, 43, 115)(57, 129, 71, 143)(58, 130, 72, 144)(59, 131, 69, 141)(60, 132, 70, 142)(61, 133, 67, 139)(62, 134, 68, 140)(63, 135, 65, 137)(64, 136, 66, 138)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 159, 231)(150, 222, 162, 234, 163, 235)(152, 224, 166, 238, 168, 240)(154, 226, 171, 243, 172, 244)(155, 227, 173, 245, 175, 247)(156, 228, 176, 248, 177, 249)(158, 230, 174, 246, 180, 252)(160, 232, 183, 255, 184, 256)(161, 233, 185, 257, 186, 258)(164, 236, 187, 259, 189, 261)(165, 237, 190, 262, 191, 263)(167, 239, 188, 260, 194, 266)(169, 241, 197, 269, 198, 270)(170, 242, 199, 271, 200, 272)(178, 250, 201, 273, 205, 277)(179, 251, 202, 274, 206, 278)(181, 253, 203, 275, 207, 279)(182, 254, 204, 276, 208, 280)(192, 264, 209, 281, 213, 285)(193, 265, 210, 282, 214, 286)(195, 267, 211, 283, 215, 287)(196, 268, 212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 160)(6, 145)(7, 164)(8, 167)(9, 169)(10, 146)(11, 174)(12, 147)(13, 178)(14, 150)(15, 181)(16, 180)(17, 149)(18, 179)(19, 182)(20, 188)(21, 151)(22, 192)(23, 154)(24, 195)(25, 194)(26, 153)(27, 193)(28, 196)(29, 201)(30, 156)(31, 203)(32, 202)(33, 204)(34, 162)(35, 157)(36, 161)(37, 163)(38, 159)(39, 205)(40, 207)(41, 206)(42, 208)(43, 209)(44, 165)(45, 211)(46, 210)(47, 212)(48, 171)(49, 166)(50, 170)(51, 172)(52, 168)(53, 213)(54, 215)(55, 214)(56, 216)(57, 176)(58, 173)(59, 177)(60, 175)(61, 185)(62, 183)(63, 186)(64, 184)(65, 190)(66, 187)(67, 191)(68, 189)(69, 199)(70, 197)(71, 200)(72, 198)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1303
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3, Y2^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y3^2 * Y2 * Y3^2 * Y1 * Y2^-1 * Y1, Y3^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 19, 91)(9, 81, 24, 96)(12, 84, 30, 102)(13, 85, 28, 100)(14, 86, 26, 98)(15, 87, 35, 107)(17, 89, 37, 109)(18, 90, 22, 94)(20, 92, 44, 116)(21, 93, 42, 114)(23, 95, 49, 121)(25, 97, 51, 123)(27, 99, 41, 113)(29, 101, 50, 122)(31, 103, 45, 117)(32, 104, 57, 129)(33, 105, 54, 126)(34, 106, 61, 133)(36, 108, 43, 115)(38, 110, 52, 124)(39, 111, 53, 125)(40, 112, 47, 119)(46, 118, 66, 138)(48, 120, 68, 140)(55, 127, 60, 132)(56, 128, 65, 137)(58, 130, 69, 141)(59, 131, 63, 135)(62, 134, 67, 139)(64, 136, 70, 142)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 175, 247, 178, 250)(160, 232, 180, 252, 182, 254)(162, 234, 176, 248, 183, 255)(163, 235, 185, 257, 187, 259)(166, 238, 189, 261, 192, 264)(168, 240, 194, 266, 196, 268)(170, 242, 190, 262, 197, 269)(172, 244, 199, 271, 202, 274)(174, 246, 200, 272, 191, 263)(177, 249, 188, 260, 204, 276)(179, 251, 206, 278, 207, 279)(181, 253, 198, 270, 208, 280)(184, 256, 203, 275, 195, 267)(186, 258, 209, 281, 211, 283)(193, 265, 213, 285, 214, 286)(201, 273, 205, 277, 215, 287)(210, 282, 212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 164)(8, 166)(9, 167)(10, 146)(11, 172)(12, 175)(13, 147)(14, 177)(15, 178)(16, 181)(17, 149)(18, 150)(19, 186)(20, 189)(21, 151)(22, 191)(23, 192)(24, 195)(25, 153)(26, 154)(27, 199)(28, 201)(29, 202)(30, 155)(31, 188)(32, 157)(33, 187)(34, 204)(35, 160)(36, 198)(37, 197)(38, 208)(39, 161)(40, 162)(41, 209)(42, 210)(43, 211)(44, 163)(45, 174)(46, 165)(47, 173)(48, 200)(49, 168)(50, 184)(51, 183)(52, 203)(53, 169)(54, 170)(55, 205)(56, 171)(57, 207)(58, 215)(59, 176)(60, 185)(61, 179)(62, 180)(63, 182)(64, 190)(65, 212)(66, 214)(67, 216)(68, 193)(69, 194)(70, 196)(71, 206)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1304
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2 * Y3^-2 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1 * Y3^3 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 16, 88)(6, 78, 8, 80)(7, 79, 19, 91)(9, 81, 24, 96)(12, 84, 30, 102)(13, 85, 28, 100)(14, 86, 26, 98)(15, 87, 35, 107)(17, 89, 37, 109)(18, 90, 22, 94)(20, 92, 44, 116)(21, 93, 42, 114)(23, 95, 49, 121)(25, 97, 51, 123)(27, 99, 41, 113)(29, 101, 50, 122)(31, 103, 58, 130)(32, 104, 46, 118)(33, 105, 54, 126)(34, 106, 48, 120)(36, 108, 43, 115)(38, 110, 52, 124)(39, 111, 62, 134)(40, 112, 47, 119)(45, 117, 67, 139)(53, 125, 69, 141)(55, 127, 65, 137)(56, 128, 64, 136)(57, 129, 68, 140)(59, 131, 63, 135)(60, 132, 70, 142)(61, 133, 66, 138)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 156, 228, 159, 231)(150, 222, 157, 229, 161, 233)(152, 224, 164, 236, 167, 239)(154, 226, 165, 237, 169, 241)(155, 227, 171, 243, 173, 245)(158, 230, 175, 247, 178, 250)(160, 232, 180, 252, 182, 254)(162, 234, 176, 248, 183, 255)(163, 235, 185, 257, 187, 259)(166, 238, 189, 261, 192, 264)(168, 240, 194, 266, 196, 268)(170, 242, 190, 262, 197, 269)(172, 244, 199, 271, 198, 270)(174, 246, 200, 272, 201, 273)(177, 249, 203, 275, 193, 265)(179, 251, 191, 263, 204, 276)(181, 253, 205, 277, 207, 279)(184, 256, 186, 258, 208, 280)(188, 260, 209, 281, 210, 282)(195, 267, 212, 284, 214, 286)(202, 274, 206, 278, 215, 287)(211, 283, 213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 158)(5, 159)(6, 145)(7, 164)(8, 166)(9, 167)(10, 146)(11, 172)(12, 175)(13, 147)(14, 177)(15, 178)(16, 181)(17, 149)(18, 150)(19, 186)(20, 189)(21, 151)(22, 191)(23, 192)(24, 195)(25, 153)(26, 154)(27, 199)(28, 190)(29, 198)(30, 155)(31, 203)(32, 157)(33, 194)(34, 193)(35, 160)(36, 205)(37, 206)(38, 207)(39, 161)(40, 162)(41, 208)(42, 176)(43, 184)(44, 163)(45, 204)(46, 165)(47, 180)(48, 179)(49, 168)(50, 212)(51, 213)(52, 214)(53, 169)(54, 170)(55, 197)(56, 171)(57, 173)(58, 174)(59, 196)(60, 182)(61, 215)(62, 200)(63, 202)(64, 183)(65, 185)(66, 187)(67, 188)(68, 216)(69, 209)(70, 211)(71, 201)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1306
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^3 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 27, 99)(12, 84, 26, 98)(13, 85, 29, 101)(14, 86, 30, 102)(15, 87, 28, 100)(16, 88, 22, 94)(17, 89, 21, 93)(18, 90, 25, 97)(19, 91, 23, 95)(20, 92, 24, 96)(31, 103, 60, 132)(32, 104, 61, 133)(33, 105, 59, 131)(34, 106, 58, 130)(35, 107, 57, 129)(36, 108, 55, 127)(37, 109, 62, 134)(38, 110, 56, 128)(39, 111, 52, 124)(40, 112, 54, 126)(41, 113, 51, 123)(42, 114, 50, 122)(43, 115, 49, 121)(44, 116, 47, 119)(45, 117, 48, 120)(46, 118, 53, 125)(63, 135, 68, 140)(64, 136, 72, 144)(65, 137, 71, 143)(66, 138, 70, 142)(67, 139, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 159, 231)(150, 222, 162, 234, 163, 235)(152, 224, 167, 239, 169, 241)(154, 226, 172, 244, 173, 245)(155, 227, 175, 247, 177, 249)(156, 228, 178, 250, 179, 251)(158, 230, 176, 248, 183, 255)(160, 232, 185, 257, 186, 258)(161, 233, 187, 259, 188, 260)(164, 236, 180, 252, 189, 261)(165, 237, 191, 263, 193, 265)(166, 238, 194, 266, 195, 267)(168, 240, 192, 264, 199, 271)(170, 242, 201, 273, 202, 274)(171, 243, 203, 275, 204, 276)(174, 246, 196, 268, 205, 277)(181, 253, 207, 279, 190, 262)(182, 254, 208, 280, 210, 282)(184, 256, 209, 281, 211, 283)(197, 269, 212, 284, 206, 278)(198, 270, 213, 285, 215, 287)(200, 272, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 160)(6, 145)(7, 165)(8, 168)(9, 170)(10, 146)(11, 176)(12, 147)(13, 181)(14, 178)(15, 180)(16, 183)(17, 149)(18, 182)(19, 184)(20, 150)(21, 192)(22, 151)(23, 197)(24, 194)(25, 196)(26, 199)(27, 153)(28, 198)(29, 200)(30, 154)(31, 207)(32, 187)(33, 189)(34, 208)(35, 209)(36, 156)(37, 179)(38, 157)(39, 162)(40, 159)(41, 190)(42, 164)(43, 210)(44, 211)(45, 161)(46, 163)(47, 212)(48, 203)(49, 205)(50, 213)(51, 214)(52, 166)(53, 195)(54, 167)(55, 172)(56, 169)(57, 206)(58, 174)(59, 215)(60, 216)(61, 171)(62, 173)(63, 188)(64, 175)(65, 177)(66, 185)(67, 186)(68, 204)(69, 191)(70, 193)(71, 201)(72, 202)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1308
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2 * Y3 * Y2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 18, 90)(12, 84, 17, 89)(13, 85, 21, 93)(14, 86, 22, 94)(15, 87, 19, 91)(16, 88, 20, 92)(23, 95, 30, 102)(24, 96, 29, 101)(25, 97, 33, 105)(26, 98, 34, 106)(27, 99, 31, 103)(28, 100, 32, 104)(35, 107, 42, 114)(36, 108, 41, 113)(37, 109, 45, 117)(38, 110, 46, 118)(39, 111, 43, 115)(40, 112, 44, 116)(47, 119, 54, 126)(48, 120, 53, 125)(49, 121, 57, 129)(50, 122, 58, 130)(51, 123, 55, 127)(52, 124, 56, 128)(59, 131, 65, 137)(60, 132, 64, 136)(61, 133, 68, 140)(62, 134, 67, 139)(63, 135, 66, 138)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 155, 227)(150, 222, 159, 231, 156, 228)(152, 224, 163, 235, 161, 233)(154, 226, 165, 237, 162, 234)(158, 230, 167, 239, 169, 241)(160, 232, 168, 240, 171, 243)(164, 236, 173, 245, 175, 247)(166, 238, 174, 246, 177, 249)(170, 242, 181, 253, 179, 251)(172, 244, 183, 255, 180, 252)(176, 248, 187, 259, 185, 257)(178, 250, 189, 261, 186, 258)(182, 254, 191, 263, 193, 265)(184, 256, 192, 264, 195, 267)(188, 260, 197, 269, 199, 271)(190, 262, 198, 270, 201, 273)(194, 266, 205, 277, 203, 275)(196, 268, 207, 279, 204, 276)(200, 272, 210, 282, 208, 280)(202, 274, 212, 284, 209, 281)(206, 278, 213, 285, 214, 286)(211, 283, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 157)(6, 145)(7, 161)(8, 164)(9, 163)(10, 146)(11, 167)(12, 147)(13, 169)(14, 170)(15, 149)(16, 150)(17, 173)(18, 151)(19, 175)(20, 176)(21, 153)(22, 154)(23, 179)(24, 156)(25, 181)(26, 182)(27, 159)(28, 160)(29, 185)(30, 162)(31, 187)(32, 188)(33, 165)(34, 166)(35, 191)(36, 168)(37, 193)(38, 194)(39, 171)(40, 172)(41, 197)(42, 174)(43, 199)(44, 200)(45, 177)(46, 178)(47, 203)(48, 180)(49, 205)(50, 206)(51, 183)(52, 184)(53, 208)(54, 186)(55, 210)(56, 211)(57, 189)(58, 190)(59, 213)(60, 192)(61, 214)(62, 196)(63, 195)(64, 215)(65, 198)(66, 216)(67, 202)(68, 201)(69, 204)(70, 207)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1310
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y2^-1 * Y1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y3 * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-1 * Y1 * Y2^-1 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y3^-1)^2, (Y2 * Y3^-1 * Y2 * Y1)^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 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 28, 100)(12, 84, 32, 104)(13, 85, 27, 99)(14, 86, 30, 102)(15, 87, 26, 98)(16, 88, 24, 96)(18, 90, 31, 103)(19, 91, 25, 97)(20, 92, 29, 101)(21, 93, 23, 95)(33, 105, 49, 121)(34, 106, 59, 131)(35, 107, 64, 136)(36, 108, 58, 130)(37, 109, 55, 127)(38, 110, 62, 134)(39, 111, 53, 125)(40, 112, 57, 129)(41, 113, 56, 128)(42, 114, 52, 124)(43, 115, 50, 122)(44, 116, 60, 132)(45, 117, 63, 135)(46, 118, 54, 126)(47, 119, 61, 133)(48, 120, 51, 123)(65, 137, 72, 144)(66, 138, 70, 142)(67, 139, 71, 143)(68, 140, 69, 141)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 169, 241, 171, 243)(154, 226, 175, 247, 176, 248)(155, 227, 177, 249, 178, 250)(156, 228, 179, 251, 181, 253)(157, 229, 182, 254, 183, 255)(159, 231, 180, 252, 185, 257)(161, 233, 187, 259, 188, 260)(162, 234, 189, 261, 190, 262)(163, 235, 191, 263, 192, 264)(166, 238, 193, 265, 194, 266)(167, 239, 195, 267, 197, 269)(168, 240, 198, 270, 199, 271)(170, 242, 196, 268, 201, 273)(172, 244, 203, 275, 204, 276)(173, 245, 205, 277, 206, 278)(174, 246, 207, 279, 208, 280)(184, 256, 209, 281, 211, 283)(186, 258, 210, 282, 212, 284)(200, 272, 213, 285, 215, 287)(202, 274, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 171)(12, 180)(13, 147)(14, 184)(15, 150)(16, 186)(17, 169)(18, 185)(19, 149)(20, 172)(21, 166)(22, 160)(23, 196)(24, 151)(25, 200)(26, 154)(27, 202)(28, 158)(29, 201)(30, 153)(31, 161)(32, 155)(33, 197)(34, 206)(35, 209)(36, 157)(37, 210)(38, 203)(39, 193)(40, 164)(41, 163)(42, 165)(43, 195)(44, 205)(45, 211)(46, 212)(47, 204)(48, 194)(49, 181)(50, 190)(51, 213)(52, 168)(53, 214)(54, 187)(55, 177)(56, 175)(57, 174)(58, 176)(59, 179)(60, 189)(61, 215)(62, 216)(63, 188)(64, 178)(65, 182)(66, 183)(67, 191)(68, 192)(69, 198)(70, 199)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1309
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-3 * Y2 * Y3^-1, (Y1 * Y2^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y3)^2, Y3^-2 * Y2^-1 * Y3^2 * Y2, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 23, 95)(9, 81, 29, 101)(12, 84, 33, 105)(13, 85, 28, 100)(14, 86, 31, 103)(15, 87, 34, 106)(16, 88, 25, 97)(18, 90, 32, 104)(19, 91, 26, 98)(20, 92, 30, 102)(21, 93, 24, 96)(22, 94, 27, 99)(35, 107, 53, 125)(36, 108, 63, 135)(37, 109, 68, 140)(38, 110, 70, 142)(39, 111, 59, 131)(40, 112, 66, 138)(41, 113, 57, 129)(42, 114, 60, 132)(43, 115, 69, 141)(44, 116, 62, 134)(45, 117, 54, 126)(46, 118, 64, 136)(47, 119, 67, 139)(48, 120, 58, 130)(49, 121, 65, 137)(50, 122, 55, 127)(51, 123, 61, 133)(52, 124, 56, 128)(71, 143, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 170, 242, 172, 244)(154, 226, 176, 248, 177, 249)(155, 227, 179, 251, 180, 252)(156, 228, 181, 253, 183, 255)(157, 229, 184, 256, 185, 257)(159, 231, 182, 254, 188, 260)(161, 233, 189, 261, 190, 262)(162, 234, 191, 263, 192, 264)(163, 235, 193, 265, 194, 266)(166, 238, 186, 258, 195, 267)(167, 239, 197, 269, 198, 270)(168, 240, 199, 271, 201, 273)(169, 241, 202, 274, 203, 275)(171, 243, 200, 272, 206, 278)(173, 245, 207, 279, 208, 280)(174, 246, 209, 281, 210, 282)(175, 247, 211, 283, 212, 284)(178, 250, 204, 276, 213, 285)(187, 259, 215, 287, 196, 268)(205, 277, 216, 288, 214, 286)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 168)(8, 171)(9, 174)(10, 146)(11, 172)(12, 182)(13, 147)(14, 187)(15, 184)(16, 186)(17, 170)(18, 188)(19, 149)(20, 173)(21, 167)(22, 150)(23, 160)(24, 200)(25, 151)(26, 205)(27, 202)(28, 204)(29, 158)(30, 206)(31, 153)(32, 161)(33, 155)(34, 154)(35, 201)(36, 210)(37, 215)(38, 193)(39, 195)(40, 207)(41, 197)(42, 157)(43, 185)(44, 164)(45, 199)(46, 209)(47, 196)(48, 166)(49, 208)(50, 198)(51, 163)(52, 165)(53, 183)(54, 192)(55, 216)(56, 211)(57, 213)(58, 189)(59, 179)(60, 169)(61, 203)(62, 176)(63, 181)(64, 191)(65, 214)(66, 178)(67, 190)(68, 180)(69, 175)(70, 177)(71, 194)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1311
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, Y2 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 7, 79)(4, 76, 10, 82)(5, 77, 9, 81)(6, 78, 8, 80)(11, 83, 21, 93)(12, 84, 20, 92)(13, 85, 27, 99)(14, 86, 23, 95)(15, 87, 28, 100)(16, 88, 26, 98)(17, 89, 25, 97)(18, 90, 22, 94)(19, 91, 24, 96)(29, 101, 46, 118)(30, 102, 44, 116)(31, 103, 47, 119)(32, 104, 43, 115)(33, 105, 45, 117)(34, 106, 48, 120)(35, 107, 49, 121)(36, 108, 50, 122)(37, 109, 51, 123)(38, 110, 52, 124)(39, 111, 55, 127)(40, 112, 56, 128)(41, 113, 53, 125)(42, 114, 54, 126)(57, 129, 65, 137)(58, 130, 66, 138)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(63, 135, 71, 143)(64, 136, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 157, 229, 159, 231)(150, 222, 162, 234, 163, 235)(152, 224, 166, 238, 168, 240)(154, 226, 171, 243, 172, 244)(155, 227, 173, 245, 175, 247)(156, 228, 176, 248, 177, 249)(158, 230, 174, 246, 180, 252)(160, 232, 183, 255, 184, 256)(161, 233, 185, 257, 186, 258)(164, 236, 187, 259, 189, 261)(165, 237, 190, 262, 191, 263)(167, 239, 188, 260, 194, 266)(169, 241, 197, 269, 198, 270)(170, 242, 199, 271, 200, 272)(178, 250, 201, 273, 205, 277)(179, 251, 202, 274, 206, 278)(181, 253, 203, 275, 207, 279)(182, 254, 204, 276, 208, 280)(192, 264, 209, 281, 213, 285)(193, 265, 210, 282, 214, 286)(195, 267, 211, 283, 215, 287)(196, 268, 212, 284, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 158)(5, 160)(6, 145)(7, 164)(8, 167)(9, 169)(10, 146)(11, 174)(12, 147)(13, 178)(14, 150)(15, 181)(16, 180)(17, 149)(18, 179)(19, 182)(20, 188)(21, 151)(22, 192)(23, 154)(24, 195)(25, 194)(26, 153)(27, 193)(28, 196)(29, 201)(30, 156)(31, 203)(32, 202)(33, 204)(34, 162)(35, 157)(36, 161)(37, 163)(38, 159)(39, 205)(40, 207)(41, 206)(42, 208)(43, 209)(44, 165)(45, 211)(46, 210)(47, 212)(48, 171)(49, 166)(50, 170)(51, 172)(52, 168)(53, 213)(54, 215)(55, 214)(56, 216)(57, 176)(58, 173)(59, 177)(60, 175)(61, 185)(62, 183)(63, 186)(64, 184)(65, 190)(66, 187)(67, 191)(68, 189)(69, 199)(70, 197)(71, 200)(72, 198)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1312
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, Y3^4, (Y3 * Y1)^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 28, 100)(12, 84, 31, 103)(13, 85, 25, 97)(14, 86, 24, 96)(15, 87, 26, 98)(16, 88, 30, 102)(18, 90, 32, 104)(19, 91, 27, 99)(20, 92, 23, 95)(21, 93, 29, 101)(33, 105, 49, 121)(34, 106, 59, 131)(35, 107, 54, 126)(36, 108, 56, 128)(37, 109, 63, 135)(38, 110, 51, 123)(39, 111, 61, 133)(40, 112, 52, 124)(41, 113, 58, 130)(42, 114, 57, 129)(43, 115, 50, 122)(44, 116, 60, 132)(45, 117, 55, 127)(46, 118, 64, 136)(47, 119, 53, 125)(48, 120, 62, 134)(65, 137, 69, 141)(66, 138, 71, 143)(67, 139, 70, 142)(68, 140, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 169, 241, 171, 243)(154, 226, 175, 247, 176, 248)(155, 227, 177, 249, 178, 250)(156, 228, 179, 251, 181, 253)(157, 229, 182, 254, 183, 255)(159, 231, 180, 252, 185, 257)(161, 233, 187, 259, 188, 260)(162, 234, 189, 261, 190, 262)(163, 235, 191, 263, 192, 264)(166, 238, 193, 265, 194, 266)(167, 239, 195, 267, 197, 269)(168, 240, 198, 270, 199, 271)(170, 242, 196, 268, 201, 273)(172, 244, 203, 275, 204, 276)(173, 245, 205, 277, 206, 278)(174, 246, 207, 279, 208, 280)(184, 256, 209, 281, 211, 283)(186, 258, 210, 282, 212, 284)(200, 272, 213, 285, 215, 287)(202, 274, 214, 286, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 169)(12, 180)(13, 147)(14, 184)(15, 150)(16, 186)(17, 171)(18, 185)(19, 149)(20, 166)(21, 172)(22, 158)(23, 196)(24, 151)(25, 200)(26, 154)(27, 202)(28, 160)(29, 201)(30, 153)(31, 155)(32, 161)(33, 195)(34, 205)(35, 209)(36, 157)(37, 210)(38, 193)(39, 203)(40, 164)(41, 163)(42, 165)(43, 197)(44, 206)(45, 211)(46, 212)(47, 194)(48, 204)(49, 179)(50, 189)(51, 213)(52, 168)(53, 214)(54, 177)(55, 187)(56, 175)(57, 174)(58, 176)(59, 181)(60, 190)(61, 215)(62, 216)(63, 178)(64, 188)(65, 182)(66, 183)(67, 191)(68, 192)(69, 198)(70, 199)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1313
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^-3 * Y3, (Y1, Y3), (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, (Y2 * R * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 4, 76, 9, 81, 19, 91, 15, 87, 24, 96, 17, 89, 6, 78, 10, 82, 5, 77)(3, 75, 11, 83, 25, 97, 12, 84, 27, 99, 46, 118, 29, 101, 50, 122, 31, 103, 14, 86, 28, 100, 13, 85)(8, 80, 20, 92, 38, 110, 21, 93, 40, 112, 60, 132, 42, 114, 63, 135, 44, 116, 23, 95, 41, 113, 22, 94)(16, 88, 32, 104, 53, 125, 33, 105, 54, 126, 58, 130, 37, 109, 56, 128, 36, 108, 18, 90, 35, 107, 34, 106)(26, 98, 39, 111, 55, 127, 47, 119, 61, 133, 69, 141, 67, 139, 72, 144, 68, 140, 49, 121, 62, 134, 48, 120)(30, 102, 43, 115, 57, 129, 51, 123, 64, 136, 70, 142, 66, 138, 71, 143, 65, 137, 45, 117, 59, 131, 52, 124)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 160, 232)(150, 222, 156, 228)(151, 223, 162, 234)(153, 225, 167, 239)(154, 226, 165, 237)(155, 227, 170, 242)(157, 229, 174, 246)(159, 231, 173, 245)(161, 233, 177, 249)(163, 235, 181, 253)(164, 236, 183, 255)(166, 238, 187, 259)(168, 240, 186, 258)(169, 241, 189, 261)(171, 243, 193, 265)(172, 244, 191, 263)(175, 247, 195, 267)(176, 248, 192, 264)(178, 250, 196, 268)(179, 251, 199, 271)(180, 252, 201, 273)(182, 254, 203, 275)(184, 256, 206, 278)(185, 257, 205, 277)(188, 260, 208, 280)(190, 262, 210, 282)(194, 266, 211, 283)(197, 269, 209, 281)(198, 270, 212, 284)(200, 272, 213, 285)(202, 274, 214, 286)(204, 276, 215, 287)(207, 279, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 151)(6, 145)(7, 163)(8, 165)(9, 168)(10, 146)(11, 171)(12, 173)(13, 169)(14, 147)(15, 150)(16, 177)(17, 149)(18, 160)(19, 161)(20, 184)(21, 186)(22, 182)(23, 152)(24, 154)(25, 190)(26, 191)(27, 194)(28, 155)(29, 158)(30, 195)(31, 157)(32, 198)(33, 181)(34, 197)(35, 176)(36, 178)(37, 162)(38, 204)(39, 205)(40, 207)(41, 164)(42, 167)(43, 208)(44, 166)(45, 174)(46, 175)(47, 211)(48, 199)(49, 170)(50, 172)(51, 210)(52, 201)(53, 202)(54, 200)(55, 213)(56, 179)(57, 214)(58, 180)(59, 187)(60, 188)(61, 216)(62, 183)(63, 185)(64, 215)(65, 196)(66, 189)(67, 193)(68, 192)(69, 212)(70, 209)(71, 203)(72, 206)(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, 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 E22.1292
Graph:: bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1^-1 * Y3^2 * Y1^-5 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 22, 94, 47, 119, 43, 115, 15, 87, 29, 101, 54, 126, 45, 117, 18, 90, 5, 77)(3, 75, 11, 83, 33, 105, 61, 133, 70, 142, 57, 129, 37, 109, 65, 137, 67, 139, 48, 120, 23, 95, 8, 80)(4, 76, 14, 86, 24, 96, 53, 125, 46, 118, 21, 93, 6, 78, 20, 92, 25, 97, 55, 127, 44, 116, 16, 88)(9, 81, 28, 100, 49, 121, 41, 113, 19, 91, 32, 104, 10, 82, 31, 103, 50, 122, 42, 114, 17, 89, 30, 102)(12, 84, 36, 108, 62, 134, 72, 144, 52, 124, 40, 112, 13, 85, 39, 111, 63, 135, 71, 143, 51, 123, 38, 110)(26, 98, 56, 128, 34, 106, 64, 136, 69, 141, 60, 132, 27, 99, 59, 131, 35, 107, 66, 138, 68, 140, 58, 130)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 167, 239)(153, 225, 171, 243)(154, 226, 170, 242)(158, 230, 184, 256)(159, 231, 181, 253)(160, 232, 183, 255)(161, 233, 179, 251)(162, 234, 177, 249)(163, 235, 178, 250)(164, 236, 182, 254)(165, 237, 180, 252)(166, 238, 192, 264)(168, 240, 196, 268)(169, 241, 195, 267)(172, 244, 204, 276)(173, 245, 201, 273)(174, 246, 203, 275)(175, 247, 202, 274)(176, 248, 200, 272)(185, 257, 208, 280)(186, 258, 210, 282)(187, 259, 209, 281)(188, 260, 207, 279)(189, 261, 205, 277)(190, 262, 206, 278)(191, 263, 211, 283)(193, 265, 213, 285)(194, 266, 212, 284)(197, 269, 216, 288)(198, 270, 214, 286)(199, 271, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 161)(6, 145)(7, 168)(8, 170)(9, 173)(10, 146)(11, 178)(12, 181)(13, 147)(14, 185)(15, 150)(16, 172)(17, 187)(18, 188)(19, 149)(20, 186)(21, 175)(22, 193)(23, 195)(24, 198)(25, 151)(26, 201)(27, 152)(28, 165)(29, 154)(30, 197)(31, 160)(32, 199)(33, 206)(34, 209)(35, 155)(36, 204)(37, 157)(38, 208)(39, 202)(40, 210)(41, 164)(42, 158)(43, 163)(44, 191)(45, 194)(46, 162)(47, 190)(48, 212)(49, 189)(50, 166)(51, 214)(52, 167)(53, 176)(54, 169)(55, 174)(56, 216)(57, 171)(58, 180)(59, 215)(60, 183)(61, 213)(62, 211)(63, 177)(64, 184)(65, 179)(66, 182)(67, 207)(68, 205)(69, 192)(70, 196)(71, 200)(72, 203)(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, 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 E22.1293
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3^2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2 * Y1)^2, Y3^-1 * Y2 * R * Y2 * Y1^2 * R * Y1^-1, (Y1^-2 * Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 46, 118, 36, 108, 58, 130, 31, 103, 53, 125, 40, 112, 18, 90, 5, 77)(3, 75, 11, 83, 22, 94, 49, 121, 45, 117, 17, 89, 27, 99, 8, 80, 25, 97, 47, 119, 37, 109, 13, 85)(4, 76, 9, 81, 23, 95, 20, 92, 30, 102, 52, 124, 69, 141, 61, 133, 71, 143, 66, 138, 43, 115, 16, 88)(6, 78, 10, 82, 24, 96, 48, 120, 67, 139, 65, 137, 72, 144, 62, 134, 41, 113, 15, 87, 29, 101, 19, 91)(12, 84, 32, 104, 50, 122, 39, 111, 64, 136, 44, 116, 57, 129, 26, 98, 54, 126, 68, 140, 60, 132, 35, 107)(14, 86, 33, 105, 51, 123, 70, 142, 56, 128, 42, 114, 59, 131, 28, 100, 55, 127, 34, 106, 63, 135, 38, 110)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 175, 247)(157, 229, 180, 252)(159, 231, 183, 255)(160, 232, 186, 258)(162, 234, 181, 253)(163, 235, 188, 260)(164, 236, 178, 250)(165, 237, 191, 263)(167, 239, 195, 267)(168, 240, 194, 266)(169, 241, 197, 269)(171, 243, 202, 274)(173, 245, 204, 276)(174, 246, 200, 272)(176, 248, 206, 278)(177, 249, 205, 277)(179, 251, 209, 281)(182, 254, 196, 268)(184, 256, 193, 265)(185, 257, 198, 270)(187, 259, 207, 279)(189, 261, 190, 262)(192, 264, 212, 284)(199, 271, 215, 287)(201, 273, 216, 288)(203, 275, 213, 285)(208, 280, 211, 283)(210, 282, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 176)(12, 178)(13, 179)(14, 147)(15, 184)(16, 185)(17, 188)(18, 187)(19, 149)(20, 150)(21, 164)(22, 194)(23, 163)(24, 151)(25, 198)(26, 200)(27, 201)(28, 152)(29, 162)(30, 154)(31, 205)(32, 207)(33, 155)(34, 191)(35, 199)(36, 196)(37, 204)(38, 157)(39, 158)(40, 210)(41, 197)(42, 161)(43, 206)(44, 195)(45, 208)(46, 174)(47, 212)(48, 165)(49, 183)(50, 182)(51, 166)(52, 168)(53, 215)(54, 186)(55, 169)(56, 189)(57, 214)(58, 213)(59, 171)(60, 172)(61, 211)(62, 175)(63, 181)(64, 177)(65, 180)(66, 216)(67, 190)(68, 203)(69, 192)(70, 193)(71, 209)(72, 202)(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, 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 E22.1294
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-3 * Y3^-3, Y1^2 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3 * R * Y2 * Y1^-1 * Y2 * R * Y1^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 37, 109, 49, 121, 61, 133, 60, 132, 47, 119, 34, 106, 18, 90, 5, 77)(3, 75, 11, 83, 31, 103, 43, 115, 55, 127, 67, 139, 70, 142, 64, 136, 53, 125, 38, 110, 26, 98, 13, 85)(4, 76, 9, 81, 23, 95, 20, 92, 30, 102, 42, 114, 54, 126, 66, 138, 59, 131, 46, 118, 36, 108, 16, 88)(6, 78, 10, 82, 24, 96, 39, 111, 51, 123, 63, 135, 58, 130, 48, 120, 35, 107, 15, 87, 29, 101, 19, 91)(8, 80, 25, 97, 14, 86, 32, 104, 44, 116, 56, 128, 68, 140, 71, 143, 65, 137, 50, 122, 40, 112, 27, 99)(12, 84, 28, 100, 17, 89, 33, 105, 45, 117, 57, 129, 69, 141, 72, 144, 62, 134, 52, 124, 41, 113, 22, 94)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 173, 245)(157, 229, 167, 239)(159, 231, 177, 249)(160, 232, 175, 247)(162, 234, 176, 248)(163, 235, 169, 241)(164, 236, 171, 243)(165, 237, 182, 254)(168, 240, 184, 256)(174, 246, 185, 257)(178, 250, 187, 259)(179, 251, 188, 260)(180, 252, 189, 261)(181, 253, 194, 266)(183, 255, 196, 268)(186, 258, 197, 269)(190, 262, 200, 272)(191, 263, 201, 273)(192, 264, 199, 271)(193, 265, 206, 278)(195, 267, 208, 280)(198, 270, 209, 281)(202, 274, 213, 285)(203, 275, 211, 283)(204, 276, 212, 284)(205, 277, 214, 286)(207, 279, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 172)(12, 171)(13, 166)(14, 147)(15, 178)(16, 179)(17, 169)(18, 180)(19, 149)(20, 150)(21, 164)(22, 184)(23, 163)(24, 151)(25, 157)(26, 185)(27, 182)(28, 152)(29, 162)(30, 154)(31, 161)(32, 155)(33, 158)(34, 190)(35, 191)(36, 192)(37, 174)(38, 196)(39, 165)(40, 197)(41, 194)(42, 168)(43, 177)(44, 175)(45, 176)(46, 202)(47, 203)(48, 204)(49, 186)(50, 208)(51, 181)(52, 209)(53, 206)(54, 183)(55, 189)(56, 187)(57, 188)(58, 205)(59, 207)(60, 210)(61, 198)(62, 215)(63, 193)(64, 216)(65, 214)(66, 195)(67, 201)(68, 199)(69, 200)(70, 213)(71, 211)(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, 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 E22.1290
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y1^-1)^2, (Y3^-1 * Y2)^2, (Y3, Y1), (R * Y3)^2, Y3^3 * Y1^3, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3^-1, (Y2 * Y1^-1 * R)^2, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y2 * Y1^-1)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 43, 115, 63, 135, 72, 144, 71, 143, 58, 130, 38, 110, 18, 90, 5, 77)(3, 75, 11, 83, 31, 103, 54, 126, 28, 100, 47, 119, 67, 139, 62, 134, 40, 112, 44, 116, 36, 108, 13, 85)(4, 76, 9, 81, 23, 95, 20, 92, 30, 102, 50, 122, 66, 138, 60, 132, 70, 142, 61, 133, 39, 111, 16, 88)(6, 78, 10, 82, 24, 96, 45, 117, 64, 136, 55, 127, 69, 141, 59, 131, 35, 107, 15, 87, 29, 101, 19, 91)(8, 80, 25, 97, 51, 123, 42, 114, 49, 121, 65, 137, 57, 129, 34, 106, 12, 84, 32, 104, 53, 125, 27, 99)(14, 86, 26, 98, 52, 124, 68, 140, 48, 120, 22, 94, 46, 118, 41, 113, 17, 89, 33, 105, 56, 128, 37, 109)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 172, 244)(154, 226, 170, 242)(155, 227, 174, 246)(157, 229, 179, 251)(159, 231, 171, 243)(160, 232, 178, 250)(162, 234, 186, 258)(163, 235, 184, 256)(164, 236, 177, 249)(165, 237, 188, 260)(167, 239, 193, 265)(168, 240, 191, 263)(169, 241, 194, 266)(173, 245, 192, 264)(175, 247, 199, 271)(176, 248, 187, 259)(180, 252, 204, 276)(181, 253, 202, 274)(182, 254, 198, 270)(183, 255, 206, 278)(185, 257, 203, 275)(189, 261, 209, 281)(190, 262, 210, 282)(195, 267, 213, 285)(196, 268, 207, 279)(197, 269, 214, 286)(200, 272, 208, 280)(201, 273, 215, 287)(205, 277, 212, 284)(211, 283, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 160)(6, 145)(7, 167)(8, 170)(9, 173)(10, 146)(11, 176)(12, 177)(13, 178)(14, 147)(15, 182)(16, 179)(17, 184)(18, 183)(19, 149)(20, 150)(21, 164)(22, 191)(23, 163)(24, 151)(25, 196)(26, 155)(27, 158)(28, 152)(29, 162)(30, 154)(31, 197)(32, 200)(33, 188)(34, 161)(35, 202)(36, 201)(37, 157)(38, 205)(39, 203)(40, 193)(41, 206)(42, 192)(43, 174)(44, 209)(45, 165)(46, 211)(47, 169)(48, 172)(49, 166)(50, 168)(51, 212)(52, 175)(53, 181)(54, 171)(55, 207)(56, 180)(57, 185)(58, 214)(59, 215)(60, 208)(61, 213)(62, 186)(63, 194)(64, 187)(65, 190)(66, 189)(67, 195)(68, 198)(69, 216)(70, 199)(71, 204)(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) :: { ( 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 E22.1295
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2 * Y3, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^4 * Y1^-6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 35, 107, 49, 121, 61, 133, 59, 131, 46, 118, 33, 105, 15, 87, 5, 77)(3, 75, 11, 83, 27, 99, 43, 115, 55, 127, 67, 139, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92, 8, 80)(4, 76, 14, 86, 6, 78, 18, 90, 21, 93, 39, 111, 51, 123, 65, 137, 58, 130, 47, 119, 32, 104, 16, 88)(9, 81, 24, 96, 10, 82, 26, 98, 37, 109, 53, 125, 63, 135, 60, 132, 48, 120, 34, 106, 17, 89, 25, 97)(12, 84, 29, 101, 13, 85, 31, 103, 44, 116, 57, 129, 68, 140, 72, 144, 64, 136, 54, 126, 38, 110, 30, 102)(22, 94, 40, 112, 23, 95, 42, 114, 28, 100, 45, 117, 56, 128, 69, 141, 71, 143, 66, 138, 52, 124, 41, 113)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 173, 245)(159, 231, 171, 243)(160, 232, 175, 247)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 180, 252)(165, 237, 182, 254)(168, 240, 184, 256)(169, 241, 186, 258)(170, 242, 185, 257)(176, 248, 188, 260)(177, 249, 187, 259)(178, 250, 189, 261)(179, 251, 194, 266)(181, 253, 196, 268)(183, 255, 198, 270)(190, 262, 199, 271)(191, 263, 201, 273)(192, 264, 200, 272)(193, 265, 206, 278)(195, 267, 208, 280)(197, 269, 210, 282)(202, 274, 212, 284)(203, 275, 211, 283)(204, 276, 213, 285)(205, 277, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 159)(5, 161)(6, 145)(7, 150)(8, 166)(9, 149)(10, 146)(11, 167)(12, 164)(13, 147)(14, 169)(15, 176)(16, 178)(17, 177)(18, 168)(19, 154)(20, 182)(21, 151)(22, 180)(23, 152)(24, 158)(25, 160)(26, 162)(27, 157)(28, 155)(29, 184)(30, 185)(31, 186)(32, 190)(33, 192)(34, 191)(35, 165)(36, 196)(37, 163)(38, 194)(39, 170)(40, 174)(41, 198)(42, 173)(43, 172)(44, 171)(45, 175)(46, 202)(47, 204)(48, 203)(49, 181)(50, 208)(51, 179)(52, 206)(53, 183)(54, 210)(55, 188)(56, 187)(57, 189)(58, 205)(59, 207)(60, 209)(61, 195)(62, 215)(63, 193)(64, 214)(65, 197)(66, 216)(67, 200)(68, 199)(69, 201)(70, 212)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 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 E22.1291
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y3^2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y3^2 * Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 37, 109, 55, 127, 67, 139, 66, 138, 54, 126, 35, 107, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 47, 119, 63, 135, 71, 143, 72, 144, 68, 140, 56, 128, 38, 110, 20, 92, 8, 80)(4, 76, 14, 86, 21, 93, 41, 113, 57, 129, 46, 118, 62, 134, 45, 117, 36, 108, 18, 90, 6, 78, 15, 87)(9, 81, 24, 96, 39, 111, 34, 106, 53, 125, 33, 105, 52, 124, 32, 104, 17, 89, 26, 98, 10, 82, 25, 97)(12, 84, 29, 101, 48, 120, 61, 133, 70, 142, 60, 132, 69, 141, 59, 131, 40, 112, 31, 103, 13, 85, 30, 102)(22, 94, 42, 114, 28, 100, 49, 121, 64, 136, 51, 123, 65, 137, 50, 122, 58, 130, 44, 116, 23, 95, 43, 115)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 167, 239)(154, 226, 166, 238)(158, 230, 175, 247)(159, 231, 174, 246)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 173, 245)(163, 235, 182, 254)(165, 237, 184, 256)(168, 240, 188, 260)(169, 241, 187, 259)(170, 242, 186, 258)(176, 248, 193, 265)(177, 249, 195, 267)(178, 250, 194, 266)(179, 251, 191, 263)(180, 252, 192, 264)(181, 253, 200, 272)(183, 255, 202, 274)(185, 257, 203, 275)(189, 261, 205, 277)(190, 262, 204, 276)(196, 268, 208, 280)(197, 269, 209, 281)(198, 270, 207, 279)(199, 271, 212, 284)(201, 273, 213, 285)(206, 278, 214, 286)(210, 282, 215, 287)(211, 283, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 151)(5, 154)(6, 145)(7, 165)(8, 166)(9, 163)(10, 146)(11, 172)(12, 171)(13, 147)(14, 176)(15, 177)(16, 150)(17, 149)(18, 178)(19, 183)(20, 157)(21, 181)(22, 155)(23, 152)(24, 162)(25, 189)(26, 190)(27, 192)(28, 191)(29, 188)(30, 194)(31, 195)(32, 185)(33, 158)(34, 159)(35, 161)(36, 160)(37, 201)(38, 167)(39, 199)(40, 164)(41, 170)(42, 203)(43, 204)(44, 205)(45, 168)(46, 169)(47, 208)(48, 207)(49, 175)(50, 173)(51, 174)(52, 179)(53, 210)(54, 180)(55, 197)(56, 184)(57, 211)(58, 182)(59, 193)(60, 186)(61, 187)(62, 198)(63, 214)(64, 215)(65, 212)(66, 196)(67, 206)(68, 202)(69, 200)(70, 216)(71, 209)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 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 E22.1296
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y1^-1)^2, (R * Y3)^2, Y3^4, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, (Y3^-1 * Y2 * Y1^-1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1^-1)^3, (R * Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, (Y2 * Y1^-2)^2, Y1^-2 * Y3^-1 * Y1^-4 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 50, 122, 46, 118, 16, 88, 33, 105, 58, 130, 48, 120, 20, 92, 5, 77)(3, 75, 11, 83, 37, 109, 60, 132, 71, 143, 67, 139, 40, 112, 62, 134, 68, 140, 55, 127, 25, 97, 13, 85)(4, 76, 15, 87, 26, 98, 57, 129, 49, 121, 23, 95, 6, 78, 22, 94, 27, 99, 59, 131, 47, 119, 17, 89)(8, 80, 28, 100, 18, 90, 42, 114, 65, 137, 38, 110, 61, 133, 72, 144, 66, 138, 43, 115, 51, 123, 30, 102)(9, 81, 32, 104, 52, 124, 45, 117, 21, 93, 36, 108, 10, 82, 35, 107, 53, 125, 41, 113, 19, 91, 34, 106)(12, 84, 39, 111, 63, 135, 70, 142, 56, 128, 31, 103, 14, 86, 44, 116, 64, 136, 69, 141, 54, 126, 29, 101)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 179, 251)(157, 229, 185, 257)(159, 231, 187, 259)(160, 232, 184, 256)(161, 233, 174, 246)(163, 235, 188, 260)(164, 236, 181, 253)(165, 237, 183, 255)(166, 238, 186, 258)(167, 239, 182, 254)(168, 240, 195, 267)(170, 242, 200, 272)(171, 243, 198, 270)(172, 244, 203, 275)(176, 248, 206, 278)(177, 249, 205, 277)(178, 250, 199, 271)(180, 252, 204, 276)(189, 261, 211, 283)(190, 262, 210, 282)(191, 263, 208, 280)(192, 264, 209, 281)(193, 265, 207, 279)(194, 266, 212, 284)(196, 268, 214, 286)(197, 269, 213, 285)(201, 273, 216, 288)(202, 274, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 182)(12, 184)(13, 186)(14, 147)(15, 189)(16, 150)(17, 176)(18, 183)(19, 190)(20, 191)(21, 149)(22, 185)(23, 179)(24, 196)(25, 198)(26, 202)(27, 151)(28, 204)(29, 205)(30, 155)(31, 152)(32, 167)(33, 154)(34, 201)(35, 161)(36, 203)(37, 207)(38, 206)(39, 210)(40, 158)(41, 159)(42, 211)(43, 157)(44, 162)(45, 166)(46, 165)(47, 194)(48, 197)(49, 164)(50, 193)(51, 213)(52, 192)(53, 168)(54, 215)(55, 172)(56, 169)(57, 180)(58, 171)(59, 178)(60, 216)(61, 175)(62, 174)(63, 212)(64, 181)(65, 214)(66, 188)(67, 187)(68, 208)(69, 209)(70, 195)(71, 200)(72, 199)(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, 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 E22.1298
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^2 * Y1^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^-1 * Y2)^2, Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y2 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-2 * Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 37, 109, 49, 121, 61, 133, 59, 131, 46, 118, 35, 107, 16, 88, 5, 77)(3, 75, 11, 83, 31, 103, 43, 115, 55, 127, 67, 139, 70, 142, 65, 137, 50, 122, 41, 113, 22, 94, 13, 85)(4, 76, 15, 87, 6, 78, 20, 92, 23, 95, 42, 114, 51, 123, 66, 138, 58, 130, 47, 119, 34, 106, 17, 89)(8, 80, 24, 96, 18, 90, 32, 104, 45, 117, 56, 128, 69, 141, 72, 144, 62, 134, 53, 125, 38, 110, 26, 98)(9, 81, 28, 100, 10, 82, 30, 102, 39, 111, 54, 126, 63, 135, 60, 132, 48, 120, 36, 108, 19, 91, 29, 101)(12, 84, 27, 99, 14, 86, 33, 105, 44, 116, 57, 129, 68, 140, 71, 143, 64, 136, 52, 124, 40, 112, 25, 97)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 173, 245)(157, 229, 172, 244)(159, 231, 168, 240)(160, 232, 175, 247)(161, 233, 176, 248)(163, 235, 177, 249)(164, 236, 170, 242)(165, 237, 182, 254)(167, 239, 184, 256)(174, 246, 185, 257)(178, 250, 188, 260)(179, 251, 189, 261)(180, 252, 187, 259)(181, 253, 194, 266)(183, 255, 196, 268)(186, 258, 197, 269)(190, 262, 199, 271)(191, 263, 200, 272)(192, 264, 201, 273)(193, 265, 206, 278)(195, 267, 208, 280)(198, 270, 209, 281)(202, 274, 212, 284)(203, 275, 213, 285)(204, 276, 211, 283)(205, 277, 214, 286)(207, 279, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 150)(8, 169)(9, 149)(10, 146)(11, 168)(12, 166)(13, 170)(14, 147)(15, 173)(16, 178)(17, 180)(18, 171)(19, 179)(20, 172)(21, 154)(22, 184)(23, 151)(24, 157)(25, 182)(26, 185)(27, 152)(28, 159)(29, 161)(30, 164)(31, 158)(32, 155)(33, 162)(34, 190)(35, 192)(36, 191)(37, 167)(38, 196)(39, 165)(40, 194)(41, 197)(42, 174)(43, 176)(44, 175)(45, 177)(46, 202)(47, 204)(48, 203)(49, 183)(50, 208)(51, 181)(52, 206)(53, 209)(54, 186)(55, 188)(56, 187)(57, 189)(58, 205)(59, 207)(60, 210)(61, 195)(62, 215)(63, 193)(64, 214)(65, 216)(66, 198)(67, 200)(68, 199)(69, 201)(70, 212)(71, 213)(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, 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 E22.1297
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = C2 x ((C6 x S3) : C2) (small group id <144, 151>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, (Y3^-1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1)^3, R * Y3^-2 * Y1^-1 * Y3 * R * Y3^-1 * Y1^-1, Y1^10 * Y3^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 21, 93, 42, 114, 60, 132, 70, 142, 69, 141, 59, 131, 40, 112, 18, 90, 5, 77)(3, 75, 11, 83, 31, 103, 52, 124, 66, 138, 50, 122, 65, 137, 49, 121, 61, 133, 45, 117, 22, 94, 13, 85)(4, 76, 15, 87, 23, 95, 47, 119, 62, 134, 48, 120, 64, 136, 51, 123, 41, 113, 20, 92, 6, 78, 16, 88)(8, 80, 24, 96, 17, 89, 39, 111, 57, 129, 37, 109, 56, 128, 34, 106, 55, 127, 33, 105, 43, 115, 26, 98)(9, 81, 28, 100, 44, 116, 32, 104, 54, 126, 36, 108, 58, 130, 38, 110, 19, 91, 30, 102, 10, 82, 29, 101)(12, 84, 35, 107, 53, 125, 67, 139, 72, 144, 68, 140, 71, 143, 63, 135, 46, 118, 27, 99, 14, 86, 25, 97)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 166, 238)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 176, 248)(157, 229, 180, 252)(159, 231, 181, 253)(160, 232, 178, 250)(162, 234, 175, 247)(163, 235, 179, 251)(164, 236, 177, 249)(165, 237, 187, 259)(167, 239, 190, 262)(168, 240, 192, 264)(170, 242, 195, 267)(172, 244, 196, 268)(173, 245, 194, 266)(174, 246, 193, 265)(182, 254, 189, 261)(183, 255, 191, 263)(184, 256, 201, 273)(185, 257, 197, 269)(186, 258, 205, 277)(188, 260, 207, 279)(198, 270, 212, 284)(199, 271, 204, 276)(200, 272, 213, 285)(202, 274, 211, 283)(203, 275, 210, 282)(206, 278, 215, 287)(208, 280, 216, 288)(209, 281, 214, 286)
	L = (1, 148)(2, 153)(3, 156)(4, 151)(5, 154)(6, 145)(7, 167)(8, 169)(9, 165)(10, 146)(11, 177)(12, 175)(13, 178)(14, 147)(15, 182)(16, 180)(17, 179)(18, 150)(19, 149)(20, 176)(21, 188)(22, 158)(23, 186)(24, 193)(25, 161)(26, 194)(27, 152)(28, 164)(29, 195)(30, 192)(31, 197)(32, 160)(33, 196)(34, 155)(35, 201)(36, 159)(37, 157)(38, 191)(39, 189)(40, 163)(41, 162)(42, 206)(43, 171)(44, 204)(45, 181)(46, 166)(47, 174)(48, 173)(49, 183)(50, 168)(51, 172)(52, 170)(53, 210)(54, 213)(55, 207)(56, 212)(57, 211)(58, 184)(59, 185)(60, 198)(61, 190)(62, 214)(63, 187)(64, 203)(65, 215)(66, 216)(67, 200)(68, 199)(69, 202)(70, 208)(71, 205)(72, 209)(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, 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 E22.1299
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = ((C6 x C2) : C2) x S3 (small group id <144, 153>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3^-1)^3, Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, Y3^-1 * Y1^-2 * Y3 * Y1^2, Y1^-1 * Y3^2 * Y1^-5 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 50, 122, 46, 118, 16, 88, 33, 105, 58, 130, 48, 120, 20, 92, 5, 77)(3, 75, 11, 83, 25, 97, 54, 126, 68, 140, 60, 132, 40, 112, 63, 135, 72, 144, 62, 134, 43, 115, 13, 85)(4, 76, 15, 87, 26, 98, 57, 129, 49, 121, 23, 95, 6, 78, 22, 94, 27, 99, 59, 131, 47, 119, 17, 89)(8, 80, 28, 100, 51, 123, 39, 111, 65, 137, 71, 143, 61, 133, 42, 114, 64, 136, 38, 110, 18, 90, 30, 102)(9, 81, 32, 104, 52, 124, 37, 109, 21, 93, 36, 108, 10, 82, 35, 107, 53, 125, 45, 117, 19, 91, 34, 106)(12, 84, 31, 103, 55, 127, 70, 142, 67, 139, 44, 116, 14, 86, 29, 101, 56, 128, 69, 141, 66, 138, 41, 113)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 181, 253)(157, 229, 176, 248)(159, 231, 182, 254)(160, 232, 184, 256)(161, 233, 186, 258)(163, 235, 185, 257)(164, 236, 187, 259)(165, 237, 188, 260)(166, 238, 183, 255)(167, 239, 172, 244)(168, 240, 195, 267)(170, 242, 200, 272)(171, 243, 199, 271)(174, 246, 201, 273)(177, 249, 205, 277)(178, 250, 206, 278)(179, 251, 204, 276)(180, 252, 198, 270)(189, 261, 207, 279)(190, 262, 209, 281)(191, 263, 211, 283)(192, 264, 208, 280)(193, 265, 210, 282)(194, 266, 212, 284)(196, 268, 214, 286)(197, 269, 213, 285)(202, 274, 216, 288)(203, 275, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 182)(12, 184)(13, 186)(14, 147)(15, 181)(16, 150)(17, 176)(18, 188)(19, 190)(20, 191)(21, 149)(22, 189)(23, 179)(24, 196)(25, 199)(26, 202)(27, 151)(28, 157)(29, 205)(30, 206)(31, 152)(32, 167)(33, 154)(34, 201)(35, 161)(36, 203)(37, 166)(38, 207)(39, 155)(40, 158)(41, 162)(42, 204)(43, 210)(44, 209)(45, 159)(46, 165)(47, 194)(48, 197)(49, 164)(50, 193)(51, 213)(52, 192)(53, 168)(54, 174)(55, 216)(56, 169)(57, 180)(58, 171)(59, 178)(60, 172)(61, 175)(62, 215)(63, 183)(64, 214)(65, 185)(66, 212)(67, 187)(68, 211)(69, 208)(70, 195)(71, 198)(72, 200)(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, 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 E22.1300
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y1^-1 * R * Y2)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y3, Y3 * Y1^-1 * Y3^2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y3^-1 * Y1^-2 * Y3 * Y1^2, (Y3^-1 * Y1^-1)^3, (Y2 * Y1^-3)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 51, 123, 39, 111, 16, 88, 33, 105, 59, 131, 49, 121, 20, 92, 5, 77)(3, 75, 11, 83, 25, 97, 55, 127, 48, 120, 18, 90, 30, 102, 8, 80, 28, 100, 52, 124, 41, 113, 13, 85)(4, 76, 15, 87, 26, 98, 58, 130, 50, 122, 23, 95, 6, 78, 22, 94, 27, 99, 60, 132, 47, 119, 17, 89)(9, 81, 32, 104, 53, 125, 45, 117, 21, 93, 36, 108, 10, 82, 35, 107, 54, 126, 46, 118, 19, 91, 34, 106)(12, 84, 37, 109, 56, 128, 71, 143, 68, 140, 44, 116, 14, 86, 43, 115, 57, 129, 72, 144, 67, 139, 38, 110)(29, 101, 61, 133, 69, 141, 66, 138, 40, 112, 64, 136, 31, 103, 63, 135, 70, 142, 65, 137, 42, 114, 62, 134)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 177, 249)(157, 229, 183, 255)(159, 231, 181, 253)(160, 232, 174, 246)(161, 233, 182, 254)(163, 235, 184, 256)(164, 236, 185, 257)(165, 237, 186, 258)(166, 238, 187, 259)(167, 239, 188, 260)(168, 240, 196, 268)(170, 242, 201, 273)(171, 243, 200, 272)(172, 244, 203, 275)(176, 248, 205, 277)(178, 250, 206, 278)(179, 251, 207, 279)(180, 252, 208, 280)(189, 261, 210, 282)(190, 262, 209, 281)(191, 263, 212, 284)(192, 264, 195, 267)(193, 265, 199, 271)(194, 266, 211, 283)(197, 269, 214, 286)(198, 270, 213, 285)(202, 274, 215, 287)(204, 276, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 175)(12, 174)(13, 184)(14, 147)(15, 189)(16, 150)(17, 176)(18, 186)(19, 183)(20, 191)(21, 149)(22, 190)(23, 179)(24, 197)(25, 200)(26, 203)(27, 151)(28, 201)(29, 155)(30, 158)(31, 152)(32, 167)(33, 154)(34, 202)(35, 161)(36, 204)(37, 209)(38, 207)(39, 165)(40, 162)(41, 211)(42, 157)(43, 210)(44, 205)(45, 166)(46, 159)(47, 195)(48, 212)(49, 198)(50, 164)(51, 194)(52, 213)(53, 193)(54, 168)(55, 214)(56, 172)(57, 169)(58, 180)(59, 171)(60, 178)(61, 182)(62, 216)(63, 188)(64, 215)(65, 187)(66, 181)(67, 192)(68, 185)(69, 199)(70, 196)(71, 206)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 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 E22.1301
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C6 x S3) : C2 (small group id <72, 23>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 10, 82, 7, 79)(4, 76, 13, 85, 8, 80)(6, 78, 15, 87, 9, 81)(11, 83, 17, 89, 21, 93)(12, 84, 18, 90, 22, 94)(14, 86, 19, 91, 25, 97)(16, 88, 20, 92, 27, 99)(23, 95, 33, 105, 29, 101)(24, 96, 34, 106, 30, 102)(26, 98, 37, 109, 31, 103)(28, 100, 39, 111, 32, 104)(35, 107, 41, 113, 45, 117)(36, 108, 42, 114, 46, 118)(38, 110, 43, 115, 49, 121)(40, 112, 44, 116, 51, 123)(47, 119, 57, 129, 53, 125)(48, 120, 58, 130, 54, 126)(50, 122, 61, 133, 55, 127)(52, 124, 63, 135, 56, 128)(59, 131, 64, 136, 67, 139)(60, 132, 65, 137, 68, 140)(62, 134, 66, 138, 70, 142)(69, 141, 72, 144, 71, 143)(145, 217, 147, 219, 155, 227, 167, 239, 179, 251, 191, 263, 203, 275, 196, 268, 184, 256, 172, 244, 160, 232, 150, 222)(146, 218, 151, 223, 161, 233, 173, 245, 185, 257, 197, 269, 208, 280, 200, 272, 188, 260, 176, 248, 164, 236, 153, 225)(148, 220, 158, 230, 170, 242, 182, 254, 194, 266, 206, 278, 213, 285, 204, 276, 192, 264, 180, 252, 168, 240, 156, 228)(149, 221, 154, 226, 165, 237, 177, 249, 189, 261, 201, 273, 211, 283, 207, 279, 195, 267, 183, 255, 171, 243, 159, 231)(152, 224, 163, 235, 175, 247, 187, 259, 199, 271, 210, 282, 215, 287, 209, 281, 198, 270, 186, 258, 174, 246, 162, 234)(157, 229, 169, 241, 181, 253, 193, 265, 205, 277, 214, 286, 216, 288, 212, 284, 202, 274, 190, 262, 178, 250, 166, 238)
	L = (1, 148)(2, 152)(3, 156)(4, 145)(5, 157)(6, 158)(7, 162)(8, 146)(9, 163)(10, 166)(11, 168)(12, 147)(13, 149)(14, 150)(15, 169)(16, 170)(17, 174)(18, 151)(19, 153)(20, 175)(21, 178)(22, 154)(23, 180)(24, 155)(25, 159)(26, 160)(27, 181)(28, 182)(29, 186)(30, 161)(31, 164)(32, 187)(33, 190)(34, 165)(35, 192)(36, 167)(37, 171)(38, 172)(39, 193)(40, 194)(41, 198)(42, 173)(43, 176)(44, 199)(45, 202)(46, 177)(47, 204)(48, 179)(49, 183)(50, 184)(51, 205)(52, 206)(53, 209)(54, 185)(55, 188)(56, 210)(57, 212)(58, 189)(59, 213)(60, 191)(61, 195)(62, 196)(63, 214)(64, 215)(65, 197)(66, 200)(67, 216)(68, 201)(69, 203)(70, 207)(71, 208)(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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1288
Graph:: simple bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y1^3, (Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-2 * Y1 * Y2^2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-3, (Y2^-1 * Y1^-1)^4, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 11, 83, 14, 86)(4, 76, 9, 81, 7, 79)(6, 78, 19, 91, 21, 93)(8, 80, 25, 97, 28, 100)(10, 82, 31, 103, 32, 104)(12, 84, 26, 98, 39, 111)(13, 85, 36, 108, 15, 87)(16, 88, 44, 116, 34, 106)(17, 89, 45, 117, 47, 119)(18, 90, 48, 120, 49, 121)(20, 92, 52, 124, 23, 95)(22, 94, 33, 105, 50, 122)(24, 96, 46, 118, 56, 128)(27, 99, 58, 130, 29, 101)(30, 102, 64, 136, 51, 123)(35, 107, 57, 129, 53, 125)(37, 109, 59, 131, 68, 140)(38, 110, 60, 132, 40, 112)(41, 113, 61, 133, 69, 141)(42, 114, 62, 134, 70, 142)(43, 115, 63, 135, 54, 126)(55, 127, 65, 137, 71, 143)(66, 138, 72, 144, 67, 139)(145, 217, 147, 219, 156, 228, 175, 247, 203, 275, 169, 241, 201, 273, 193, 265, 214, 286, 191, 263, 166, 238, 150, 222)(146, 218, 152, 224, 170, 242, 192, 264, 212, 284, 189, 261, 197, 269, 165, 237, 186, 258, 158, 230, 177, 249, 154, 226)(148, 220, 160, 232, 182, 254, 171, 243, 205, 277, 208, 280, 216, 288, 200, 272, 199, 271, 167, 239, 187, 259, 159, 231)(149, 221, 161, 233, 183, 255, 163, 235, 181, 253, 155, 227, 179, 251, 176, 248, 206, 278, 172, 244, 194, 266, 162, 234)(151, 223, 164, 236, 184, 256, 157, 229, 185, 257, 188, 260, 210, 282, 202, 274, 215, 287, 195, 267, 198, 270, 168, 240)(153, 225, 174, 246, 204, 276, 190, 262, 213, 285, 196, 268, 211, 283, 180, 252, 209, 281, 178, 250, 207, 279, 173, 245)
	L = (1, 148)(2, 153)(3, 157)(4, 146)(5, 151)(6, 164)(7, 145)(8, 171)(9, 149)(10, 160)(11, 180)(12, 182)(13, 155)(14, 159)(15, 147)(16, 175)(17, 190)(18, 174)(19, 196)(20, 163)(21, 167)(22, 187)(23, 150)(24, 161)(25, 202)(26, 204)(27, 169)(28, 173)(29, 152)(30, 192)(31, 188)(32, 178)(33, 207)(34, 154)(35, 210)(36, 158)(37, 185)(38, 170)(39, 184)(40, 156)(41, 203)(42, 209)(43, 177)(44, 176)(45, 200)(46, 189)(47, 168)(48, 208)(49, 195)(50, 198)(51, 162)(52, 165)(53, 211)(54, 166)(55, 186)(56, 191)(57, 216)(58, 172)(59, 205)(60, 183)(61, 212)(62, 215)(63, 194)(64, 193)(65, 206)(66, 201)(67, 179)(68, 213)(69, 181)(70, 199)(71, 214)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1289
Graph:: simple bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1316 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: halfedge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^2 * Y2 * Y3 * Y1, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y3 * Y2)^4, (Y1^-1 * Y2 * Y3)^3 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 85, 13, 94, 22, 113, 41, 128, 56, 130, 58, 100, 28, 82, 10, 89, 17, 77, 5, 73)(3, 81, 9, 96, 24, 99, 27, 126, 54, 134, 62, 104, 32, 106, 34, 86, 14, 76, 4, 84, 12, 83, 11, 75)(7, 91, 19, 115, 43, 111, 39, 138, 66, 143, 71, 121, 49, 123, 51, 95, 23, 80, 8, 93, 21, 92, 20, 79)(15, 107, 35, 137, 65, 129, 57, 141, 69, 114, 42, 90, 18, 112, 40, 110, 38, 88, 16, 109, 37, 108, 36, 87)(25, 116, 44, 133, 61, 103, 31, 120, 48, 139, 67, 136, 64, 144, 72, 127, 55, 98, 26, 117, 45, 125, 53, 97)(29, 118, 46, 135, 63, 105, 33, 122, 50, 140, 68, 124, 52, 142, 70, 132, 60, 102, 30, 119, 47, 131, 59, 101)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 16)(8, 22)(9, 25)(10, 27)(11, 29)(12, 31)(14, 33)(17, 39)(18, 41)(19, 44)(20, 46)(21, 48)(23, 50)(24, 30)(26, 54)(28, 57)(32, 56)(34, 64)(35, 53)(36, 59)(37, 61)(38, 63)(40, 67)(42, 68)(43, 47)(45, 66)(49, 58)(51, 72)(52, 62)(55, 69)(60, 65)(70, 71)(73, 76)(74, 80)(75, 82)(77, 88)(78, 90)(79, 89)(81, 98)(83, 102)(84, 97)(85, 104)(86, 101)(87, 100)(91, 117)(92, 119)(93, 116)(94, 121)(95, 118)(96, 124)(99, 128)(103, 106)(105, 134)(107, 127)(108, 132)(109, 125)(110, 131)(111, 130)(112, 133)(113, 129)(114, 135)(115, 142)(120, 123)(122, 143)(126, 136)(137, 140)(138, 144)(139, 141)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1317
Transitivity :: VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1317 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: halfedge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y3)^4, (Y2 * Y3 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 74, 2, 77, 5, 73)(3, 80, 8, 82, 10, 75)(4, 83, 11, 85, 13, 76)(6, 88, 16, 90, 18, 78)(7, 91, 19, 93, 21, 79)(9, 89, 17, 97, 25, 81)(12, 92, 20, 102, 30, 84)(14, 104, 32, 105, 33, 86)(15, 106, 34, 107, 35, 87)(22, 108, 36, 116, 44, 94)(23, 109, 37, 118, 46, 95)(24, 117, 45, 120, 48, 96)(26, 111, 39, 122, 50, 98)(27, 112, 40, 123, 51, 99)(28, 113, 41, 125, 53, 100)(29, 124, 52, 126, 54, 101)(31, 115, 43, 128, 56, 103)(38, 129, 57, 131, 59, 110)(42, 132, 60, 133, 61, 114)(47, 130, 58, 136, 64, 119)(49, 135, 63, 138, 66, 121)(55, 139, 67, 140, 68, 127)(62, 141, 69, 143, 71, 134)(65, 142, 70, 144, 72, 137)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 24)(10, 26)(11, 28)(13, 31)(15, 30)(16, 36)(17, 38)(18, 39)(19, 41)(21, 43)(23, 45)(25, 49)(27, 48)(29, 47)(32, 44)(33, 50)(34, 53)(35, 56)(37, 57)(40, 59)(42, 58)(46, 63)(51, 66)(52, 62)(54, 65)(55, 64)(60, 69)(61, 70)(67, 71)(68, 72)(73, 76)(74, 79)(75, 81)(77, 87)(78, 89)(80, 95)(82, 99)(83, 94)(84, 101)(85, 98)(86, 97)(88, 109)(90, 112)(91, 108)(92, 114)(93, 111)(96, 119)(100, 124)(102, 127)(103, 126)(104, 118)(105, 123)(106, 116)(107, 122)(110, 130)(113, 132)(115, 133)(117, 134)(120, 137)(121, 136)(125, 139)(128, 140)(129, 141)(131, 142)(135, 143)(138, 144)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1316
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1318 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: edge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^4, Y2 * Y1 * Y2 * 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 * Y1 ]
Map::
	R = (1, 73, 4, 76, 5, 77)(2, 74, 7, 79, 8, 80)(3, 75, 10, 82, 11, 83)(6, 78, 17, 89, 18, 90)(9, 81, 24, 96, 25, 97)(12, 84, 28, 100, 29, 101)(13, 85, 30, 102, 31, 103)(14, 86, 32, 104, 33, 105)(15, 87, 34, 106, 35, 107)(16, 88, 37, 109, 38, 110)(19, 91, 41, 113, 42, 114)(20, 92, 43, 115, 44, 116)(21, 93, 45, 117, 46, 118)(22, 94, 47, 119, 48, 120)(23, 95, 49, 121, 50, 122)(26, 98, 53, 125, 54, 126)(27, 99, 55, 127, 56, 128)(36, 108, 57, 129, 58, 130)(39, 111, 61, 133, 62, 134)(40, 112, 63, 135, 64, 136)(51, 123, 65, 137, 66, 138)(52, 124, 67, 139, 68, 140)(59, 131, 69, 141, 70, 142)(60, 132, 71, 143, 72, 144)(145, 146)(147, 153)(148, 156)(149, 158)(150, 160)(151, 163)(152, 165)(154, 170)(155, 171)(157, 168)(159, 169)(161, 183)(162, 184)(164, 181)(166, 182)(167, 180)(172, 185)(173, 189)(174, 197)(175, 199)(176, 186)(177, 190)(178, 198)(179, 200)(187, 205)(188, 207)(191, 206)(192, 208)(193, 203)(194, 204)(195, 201)(196, 202)(209, 213)(210, 215)(211, 214)(212, 216)(217, 219)(218, 222)(220, 229)(221, 231)(223, 236)(224, 238)(225, 239)(226, 235)(227, 237)(228, 233)(230, 234)(232, 252)(240, 267)(241, 268)(242, 265)(243, 266)(244, 259)(245, 263)(246, 257)(247, 261)(248, 260)(249, 264)(250, 258)(251, 262)(253, 275)(254, 276)(255, 273)(256, 274)(269, 281)(270, 283)(271, 282)(272, 284)(277, 285)(278, 287)(279, 286)(280, 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) :: { ( 48, 48 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1321
Graph:: simple bipartite
	v = 96 e = 144 f = 6
	degree seq :: [ 2^72, 6^24 ]

E22.1319 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 12})
Quotient :: edge^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y3^-3, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y1 * Y2)^4, (Y1 * Y3^-1 * Y2)^3 ]
Map::
	R = (1, 73, 4, 76, 14, 86, 6, 78, 19, 91, 43, 115, 40, 112, 55, 127, 26, 98, 9, 81, 17, 89, 5, 77)(2, 74, 7, 79, 11, 83, 3, 75, 10, 82, 28, 100, 25, 97, 53, 125, 41, 113, 18, 90, 24, 96, 8, 80)(12, 84, 30, 102, 33, 105, 13, 85, 32, 104, 62, 134, 39, 111, 66, 138, 67, 139, 42, 114, 61, 133, 31, 103)(15, 87, 35, 107, 38, 110, 16, 88, 37, 109, 65, 137, 54, 126, 71, 143, 64, 136, 34, 106, 63, 135, 36, 108)(20, 92, 44, 116, 47, 119, 21, 93, 46, 118, 68, 140, 52, 124, 70, 142, 57, 129, 27, 99, 56, 128, 45, 117)(22, 94, 48, 120, 51, 123, 23, 95, 50, 122, 69, 141, 58, 130, 72, 144, 60, 132, 29, 101, 59, 131, 49, 121)(145, 146)(147, 153)(148, 156)(149, 159)(150, 162)(151, 164)(152, 166)(154, 171)(155, 173)(157, 161)(158, 178)(160, 170)(163, 186)(165, 168)(167, 185)(169, 184)(172, 202)(174, 188)(175, 192)(176, 200)(177, 203)(179, 189)(180, 193)(181, 201)(182, 204)(183, 199)(187, 198)(190, 205)(191, 207)(194, 211)(195, 208)(196, 197)(206, 216)(209, 213)(210, 214)(212, 215)(217, 219)(218, 222)(220, 229)(221, 232)(223, 237)(224, 239)(225, 241)(226, 236)(227, 238)(228, 235)(230, 231)(233, 255)(234, 256)(240, 268)(242, 270)(243, 269)(244, 245)(246, 262)(247, 266)(248, 260)(249, 264)(250, 259)(251, 263)(252, 267)(253, 261)(254, 265)(257, 274)(258, 271)(272, 282)(273, 287)(275, 278)(276, 281)(277, 286)(279, 284)(280, 285)(283, 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) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1320
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1320 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 12})
Quotient :: loop^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^4, Y2 * Y1 * Y2 * 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 * Y1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 8, 80, 152, 224)(3, 75, 147, 219, 10, 82, 154, 226, 11, 83, 155, 227)(6, 78, 150, 222, 17, 89, 161, 233, 18, 90, 162, 234)(9, 81, 153, 225, 24, 96, 168, 240, 25, 97, 169, 241)(12, 84, 156, 228, 28, 100, 172, 244, 29, 101, 173, 245)(13, 85, 157, 229, 30, 102, 174, 246, 31, 103, 175, 247)(14, 86, 158, 230, 32, 104, 176, 248, 33, 105, 177, 249)(15, 87, 159, 231, 34, 106, 178, 250, 35, 107, 179, 251)(16, 88, 160, 232, 37, 109, 181, 253, 38, 110, 182, 254)(19, 91, 163, 235, 41, 113, 185, 257, 42, 114, 186, 258)(20, 92, 164, 236, 43, 115, 187, 259, 44, 116, 188, 260)(21, 93, 165, 237, 45, 117, 189, 261, 46, 118, 190, 262)(22, 94, 166, 238, 47, 119, 191, 263, 48, 120, 192, 264)(23, 95, 167, 239, 49, 121, 193, 265, 50, 122, 194, 266)(26, 98, 170, 242, 53, 125, 197, 269, 54, 126, 198, 270)(27, 99, 171, 243, 55, 127, 199, 271, 56, 128, 200, 272)(36, 108, 180, 252, 57, 129, 201, 273, 58, 130, 202, 274)(39, 111, 183, 255, 61, 133, 205, 277, 62, 134, 206, 278)(40, 112, 184, 256, 63, 135, 207, 279, 64, 136, 208, 280)(51, 123, 195, 267, 65, 137, 209, 281, 66, 138, 210, 282)(52, 124, 196, 268, 67, 139, 211, 283, 68, 140, 212, 284)(59, 131, 203, 275, 69, 141, 213, 285, 70, 142, 214, 286)(60, 132, 204, 276, 71, 143, 215, 287, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 86)(6, 88)(7, 91)(8, 93)(9, 75)(10, 98)(11, 99)(12, 76)(13, 96)(14, 77)(15, 97)(16, 78)(17, 111)(18, 112)(19, 79)(20, 109)(21, 80)(22, 110)(23, 108)(24, 85)(25, 87)(26, 82)(27, 83)(28, 113)(29, 117)(30, 125)(31, 127)(32, 114)(33, 118)(34, 126)(35, 128)(36, 95)(37, 92)(38, 94)(39, 89)(40, 90)(41, 100)(42, 104)(43, 133)(44, 135)(45, 101)(46, 105)(47, 134)(48, 136)(49, 131)(50, 132)(51, 129)(52, 130)(53, 102)(54, 106)(55, 103)(56, 107)(57, 123)(58, 124)(59, 121)(60, 122)(61, 115)(62, 119)(63, 116)(64, 120)(65, 141)(66, 143)(67, 142)(68, 144)(69, 137)(70, 139)(71, 138)(72, 140)(145, 219)(146, 222)(147, 217)(148, 229)(149, 231)(150, 218)(151, 236)(152, 238)(153, 239)(154, 235)(155, 237)(156, 233)(157, 220)(158, 234)(159, 221)(160, 252)(161, 228)(162, 230)(163, 226)(164, 223)(165, 227)(166, 224)(167, 225)(168, 267)(169, 268)(170, 265)(171, 266)(172, 259)(173, 263)(174, 257)(175, 261)(176, 260)(177, 264)(178, 258)(179, 262)(180, 232)(181, 275)(182, 276)(183, 273)(184, 274)(185, 246)(186, 250)(187, 244)(188, 248)(189, 247)(190, 251)(191, 245)(192, 249)(193, 242)(194, 243)(195, 240)(196, 241)(197, 281)(198, 283)(199, 282)(200, 284)(201, 255)(202, 256)(203, 253)(204, 254)(205, 285)(206, 287)(207, 286)(208, 288)(209, 269)(210, 271)(211, 270)(212, 272)(213, 277)(214, 279)(215, 278)(216, 280)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1319
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1321 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 12})
Quotient :: loop^2
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y3^-3, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y1 * Y2)^4, (Y1 * Y3^-1 * Y2)^3 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 6, 78, 150, 222, 19, 91, 163, 235, 43, 115, 187, 259, 40, 112, 184, 256, 55, 127, 199, 271, 26, 98, 170, 242, 9, 81, 153, 225, 17, 89, 161, 233, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 11, 83, 155, 227, 3, 75, 147, 219, 10, 82, 154, 226, 28, 100, 172, 244, 25, 97, 169, 241, 53, 125, 197, 269, 41, 113, 185, 257, 18, 90, 162, 234, 24, 96, 168, 240, 8, 80, 152, 224)(12, 84, 156, 228, 30, 102, 174, 246, 33, 105, 177, 249, 13, 85, 157, 229, 32, 104, 176, 248, 62, 134, 206, 278, 39, 111, 183, 255, 66, 138, 210, 282, 67, 139, 211, 283, 42, 114, 186, 258, 61, 133, 205, 277, 31, 103, 175, 247)(15, 87, 159, 231, 35, 107, 179, 251, 38, 110, 182, 254, 16, 88, 160, 232, 37, 109, 181, 253, 65, 137, 209, 281, 54, 126, 198, 270, 71, 143, 215, 287, 64, 136, 208, 280, 34, 106, 178, 250, 63, 135, 207, 279, 36, 108, 180, 252)(20, 92, 164, 236, 44, 116, 188, 260, 47, 119, 191, 263, 21, 93, 165, 237, 46, 118, 190, 262, 68, 140, 212, 284, 52, 124, 196, 268, 70, 142, 214, 286, 57, 129, 201, 273, 27, 99, 171, 243, 56, 128, 200, 272, 45, 117, 189, 261)(22, 94, 166, 238, 48, 120, 192, 264, 51, 123, 195, 267, 23, 95, 167, 239, 50, 122, 194, 266, 69, 141, 213, 285, 58, 130, 202, 274, 72, 144, 216, 288, 60, 132, 204, 276, 29, 101, 173, 245, 59, 131, 203, 275, 49, 121, 193, 265)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 90)(7, 92)(8, 94)(9, 75)(10, 99)(11, 101)(12, 76)(13, 89)(14, 106)(15, 77)(16, 98)(17, 85)(18, 78)(19, 114)(20, 79)(21, 96)(22, 80)(23, 113)(24, 93)(25, 112)(26, 88)(27, 82)(28, 130)(29, 83)(30, 116)(31, 120)(32, 128)(33, 131)(34, 86)(35, 117)(36, 121)(37, 129)(38, 132)(39, 127)(40, 97)(41, 95)(42, 91)(43, 126)(44, 102)(45, 107)(46, 133)(47, 135)(48, 103)(49, 108)(50, 139)(51, 136)(52, 125)(53, 124)(54, 115)(55, 111)(56, 104)(57, 109)(58, 100)(59, 105)(60, 110)(61, 118)(62, 144)(63, 119)(64, 123)(65, 141)(66, 142)(67, 122)(68, 143)(69, 137)(70, 138)(71, 140)(72, 134)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 237)(152, 239)(153, 241)(154, 236)(155, 238)(156, 235)(157, 220)(158, 231)(159, 230)(160, 221)(161, 255)(162, 256)(163, 228)(164, 226)(165, 223)(166, 227)(167, 224)(168, 268)(169, 225)(170, 270)(171, 269)(172, 245)(173, 244)(174, 262)(175, 266)(176, 260)(177, 264)(178, 259)(179, 263)(180, 267)(181, 261)(182, 265)(183, 233)(184, 234)(185, 274)(186, 271)(187, 250)(188, 248)(189, 253)(190, 246)(191, 251)(192, 249)(193, 254)(194, 247)(195, 252)(196, 240)(197, 243)(198, 242)(199, 258)(200, 282)(201, 287)(202, 257)(203, 278)(204, 281)(205, 286)(206, 275)(207, 284)(208, 285)(209, 276)(210, 272)(211, 288)(212, 279)(213, 280)(214, 277)(215, 273)(216, 283)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1318
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 144 f = 96
	degree seq :: [ 48^6 ]

E22.1322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C12 x C3) : C2 (small group id <72, 33>)
Aut   = C2 x ((C12 x C3) : C2) (small group id <144, 170>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (R * Y3)^2, (Y2^-1 * Y1)^2, Y3^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 10, 82)(5, 77, 7, 79)(6, 78, 8, 80)(11, 83, 21, 93)(12, 84, 20, 92)(13, 85, 22, 94)(14, 86, 18, 90)(15, 87, 17, 89)(16, 88, 19, 91)(23, 95, 33, 105)(24, 96, 32, 104)(25, 97, 34, 106)(26, 98, 30, 102)(27, 99, 29, 101)(28, 100, 31, 103)(35, 107, 45, 117)(36, 108, 44, 116)(37, 109, 46, 118)(38, 110, 42, 114)(39, 111, 41, 113)(40, 112, 43, 115)(47, 119, 57, 129)(48, 120, 56, 128)(49, 121, 58, 130)(50, 122, 54, 126)(51, 123, 53, 125)(52, 124, 55, 127)(59, 131, 68, 140)(60, 132, 67, 139)(61, 133, 66, 138)(62, 134, 65, 137)(63, 135, 64, 136)(69, 141, 72, 144)(70, 142, 71, 143)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 155, 227, 158, 230)(150, 222, 156, 228, 159, 231)(152, 224, 161, 233, 164, 236)(154, 226, 162, 234, 165, 237)(157, 229, 167, 239, 170, 242)(160, 232, 168, 240, 171, 243)(163, 235, 173, 245, 176, 248)(166, 238, 174, 246, 177, 249)(169, 241, 179, 251, 182, 254)(172, 244, 180, 252, 183, 255)(175, 247, 185, 257, 188, 260)(178, 250, 186, 258, 189, 261)(181, 253, 191, 263, 194, 266)(184, 256, 192, 264, 195, 267)(187, 259, 197, 269, 200, 272)(190, 262, 198, 270, 201, 273)(193, 265, 203, 275, 206, 278)(196, 268, 204, 276, 207, 279)(199, 271, 208, 280, 211, 283)(202, 274, 209, 281, 212, 284)(205, 277, 213, 285, 214, 286)(210, 282, 215, 287, 216, 288)
	L = (1, 148)(2, 152)(3, 155)(4, 157)(5, 158)(6, 145)(7, 161)(8, 163)(9, 164)(10, 146)(11, 167)(12, 147)(13, 169)(14, 170)(15, 149)(16, 150)(17, 173)(18, 151)(19, 175)(20, 176)(21, 153)(22, 154)(23, 179)(24, 156)(25, 181)(26, 182)(27, 159)(28, 160)(29, 185)(30, 162)(31, 187)(32, 188)(33, 165)(34, 166)(35, 191)(36, 168)(37, 193)(38, 194)(39, 171)(40, 172)(41, 197)(42, 174)(43, 199)(44, 200)(45, 177)(46, 178)(47, 203)(48, 180)(49, 205)(50, 206)(51, 183)(52, 184)(53, 208)(54, 186)(55, 210)(56, 211)(57, 189)(58, 190)(59, 213)(60, 192)(61, 196)(62, 214)(63, 195)(64, 215)(65, 198)(66, 202)(67, 216)(68, 201)(69, 204)(70, 207)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1323
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = (C12 x C3) : C2 (small group id <72, 33>)
Aut   = C2 x ((C12 x C3) : C2) (small group id <144, 170>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3, Y1^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y3^-3 * Y1^-3, (R * Y2 * Y3^-1)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 19, 91, 35, 107, 49, 121, 61, 133, 60, 132, 47, 119, 32, 104, 16, 88, 5, 77)(3, 75, 11, 83, 27, 99, 43, 115, 55, 127, 67, 139, 70, 142, 62, 134, 50, 122, 36, 108, 20, 92, 8, 80)(4, 76, 9, 81, 21, 93, 18, 90, 26, 98, 40, 112, 53, 125, 65, 137, 59, 131, 46, 118, 34, 106, 15, 87)(6, 78, 10, 82, 22, 94, 37, 109, 51, 123, 63, 135, 58, 130, 48, 120, 33, 105, 14, 86, 25, 97, 17, 89)(12, 84, 28, 100, 42, 114, 31, 103, 45, 117, 57, 129, 69, 141, 71, 143, 64, 136, 52, 124, 38, 110, 23, 95)(13, 85, 29, 101, 44, 116, 56, 128, 68, 140, 72, 144, 66, 138, 54, 126, 41, 113, 30, 102, 39, 111, 24, 96)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 157, 229)(149, 221, 155, 227)(150, 222, 156, 228)(151, 223, 164, 236)(153, 225, 168, 240)(154, 226, 167, 239)(158, 230, 175, 247)(159, 231, 173, 245)(160, 232, 171, 243)(161, 233, 172, 244)(162, 234, 174, 246)(163, 235, 180, 252)(165, 237, 183, 255)(166, 238, 182, 254)(169, 241, 186, 258)(170, 242, 185, 257)(176, 248, 187, 259)(177, 249, 189, 261)(178, 250, 188, 260)(179, 251, 194, 266)(181, 253, 196, 268)(184, 256, 198, 270)(190, 262, 200, 272)(191, 263, 199, 271)(192, 264, 201, 273)(193, 265, 206, 278)(195, 267, 208, 280)(197, 269, 210, 282)(202, 274, 213, 285)(203, 275, 212, 284)(204, 276, 211, 283)(205, 277, 214, 286)(207, 279, 215, 287)(209, 281, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 158)(5, 159)(6, 145)(7, 165)(8, 167)(9, 169)(10, 146)(11, 172)(12, 174)(13, 147)(14, 176)(15, 177)(16, 178)(17, 149)(18, 150)(19, 162)(20, 182)(21, 161)(22, 151)(23, 185)(24, 152)(25, 160)(26, 154)(27, 186)(28, 183)(29, 155)(30, 180)(31, 157)(32, 190)(33, 191)(34, 192)(35, 170)(36, 196)(37, 163)(38, 198)(39, 164)(40, 166)(41, 194)(42, 168)(43, 175)(44, 171)(45, 173)(46, 202)(47, 203)(48, 204)(49, 184)(50, 208)(51, 179)(52, 210)(53, 181)(54, 206)(55, 189)(56, 187)(57, 188)(58, 205)(59, 207)(60, 209)(61, 197)(62, 215)(63, 193)(64, 216)(65, 195)(66, 214)(67, 201)(68, 199)(69, 200)(70, 213)(71, 212)(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, 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 E22.1322
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^3, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * R * Y3^-1 * Y2 * Y3 * Y2 * R, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 16, 88)(7, 79, 19, 91)(8, 80, 21, 93)(10, 82, 25, 97)(11, 83, 27, 99)(13, 85, 32, 104)(15, 87, 35, 107)(17, 89, 37, 109)(18, 90, 39, 111)(20, 92, 43, 115)(22, 94, 46, 118)(23, 95, 36, 108)(24, 96, 47, 119)(26, 98, 29, 101)(28, 100, 52, 124)(30, 102, 55, 127)(31, 103, 57, 129)(33, 105, 59, 131)(34, 106, 61, 133)(38, 110, 40, 112)(41, 113, 53, 125)(42, 114, 69, 141)(44, 116, 49, 121)(45, 117, 63, 135)(48, 120, 64, 136)(50, 122, 67, 139)(51, 123, 66, 138)(54, 126, 65, 137)(56, 128, 68, 140)(58, 130, 71, 143)(60, 132, 70, 142)(62, 134, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 157, 229)(149, 221, 159, 231)(151, 223, 164, 236)(152, 224, 166, 238)(153, 225, 167, 239)(154, 226, 170, 242)(155, 227, 172, 244)(156, 228, 173, 245)(158, 230, 171, 243)(160, 232, 180, 252)(161, 233, 182, 254)(162, 234, 168, 240)(163, 235, 184, 256)(165, 237, 183, 255)(169, 241, 176, 248)(174, 246, 200, 272)(175, 247, 193, 265)(177, 249, 204, 276)(178, 250, 206, 278)(179, 251, 196, 268)(181, 253, 187, 259)(185, 257, 212, 284)(186, 258, 203, 275)(188, 260, 215, 287)(189, 261, 216, 288)(190, 262, 191, 263)(192, 264, 197, 269)(194, 266, 213, 285)(195, 267, 207, 279)(198, 270, 202, 274)(199, 271, 208, 280)(201, 273, 209, 281)(205, 277, 210, 282)(211, 283, 214, 286)
	L = (1, 148)(2, 151)(3, 154)(4, 149)(5, 145)(6, 161)(7, 152)(8, 146)(9, 164)(10, 155)(11, 147)(12, 174)(13, 172)(14, 177)(15, 180)(16, 157)(17, 162)(18, 150)(19, 185)(20, 168)(21, 188)(22, 167)(23, 182)(24, 153)(25, 192)(26, 159)(27, 194)(28, 160)(29, 197)(30, 175)(31, 156)(32, 200)(33, 178)(34, 158)(35, 204)(36, 170)(37, 208)(38, 166)(39, 209)(40, 199)(41, 186)(42, 163)(43, 212)(44, 189)(45, 165)(46, 215)(47, 201)(48, 193)(49, 169)(50, 195)(51, 171)(52, 213)(53, 198)(54, 173)(55, 211)(56, 202)(57, 216)(58, 176)(59, 181)(60, 207)(61, 190)(62, 196)(63, 179)(64, 203)(65, 210)(66, 183)(67, 184)(68, 214)(69, 206)(70, 187)(71, 205)(72, 191)(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) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1333
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1325 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y1 * Y2^-1)^3, (Y1 * Y2^-1 * Y1 * Y2)^2, (Y2 * R * Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3, (Y2^-1 * R * Y2 * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 21, 93)(11, 83, 25, 97)(12, 84, 27, 99)(14, 86, 30, 102)(16, 88, 33, 105)(17, 89, 36, 108)(18, 90, 38, 110)(20, 92, 40, 112)(22, 94, 29, 101)(23, 95, 34, 106)(24, 96, 47, 119)(26, 98, 49, 121)(28, 100, 53, 125)(31, 103, 58, 130)(32, 104, 42, 114)(35, 107, 44, 116)(37, 109, 63, 135)(39, 111, 65, 137)(41, 113, 56, 128)(43, 115, 61, 133)(45, 117, 50, 122)(46, 118, 51, 123)(48, 120, 66, 138)(52, 124, 68, 140)(54, 126, 62, 134)(55, 127, 60, 132)(57, 129, 67, 139)(59, 131, 64, 136)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 163, 235, 166, 238)(154, 226, 167, 239, 168, 240)(157, 229, 173, 245, 159, 231)(158, 230, 175, 247, 176, 248)(160, 232, 178, 250, 179, 251)(164, 236, 185, 257, 186, 258)(165, 237, 187, 259, 188, 260)(169, 241, 182, 254, 194, 266)(170, 242, 195, 267, 196, 268)(171, 243, 189, 261, 180, 252)(172, 244, 198, 270, 199, 271)(174, 246, 200, 272, 201, 273)(177, 249, 205, 277, 191, 263)(181, 253, 190, 262, 208, 280)(183, 255, 210, 282, 204, 276)(184, 256, 202, 274, 211, 283)(192, 264, 214, 286, 197, 269)(193, 265, 213, 285, 203, 275)(206, 278, 216, 288, 209, 281)(207, 279, 215, 287, 212, 284)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 165)(10, 147)(11, 170)(12, 172)(13, 174)(14, 149)(15, 177)(16, 150)(17, 181)(18, 183)(19, 184)(20, 152)(21, 153)(22, 189)(23, 190)(24, 192)(25, 193)(26, 155)(27, 197)(28, 156)(29, 194)(30, 157)(31, 203)(32, 204)(33, 159)(34, 195)(35, 206)(36, 207)(37, 161)(38, 209)(39, 162)(40, 163)(41, 212)(42, 199)(43, 213)(44, 198)(45, 166)(46, 167)(47, 210)(48, 168)(49, 169)(50, 173)(51, 178)(52, 200)(53, 171)(54, 188)(55, 186)(56, 196)(57, 214)(58, 208)(59, 175)(60, 176)(61, 215)(62, 179)(63, 180)(64, 202)(65, 182)(66, 191)(67, 216)(68, 185)(69, 187)(70, 201)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1330
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1326 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y3 * R)^2, (R * Y1)^2, (Y1 * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * R * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * R, (Y2 * R * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3, (Y3 * Y1 * Y2)^3, (Y1 * Y2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 7, 79)(5, 77, 13, 85)(6, 78, 15, 87)(8, 80, 19, 91)(10, 82, 22, 94)(11, 83, 26, 98)(12, 84, 28, 100)(14, 86, 31, 103)(16, 88, 36, 108)(17, 89, 40, 112)(18, 90, 42, 114)(20, 92, 45, 117)(21, 93, 35, 107)(23, 95, 44, 116)(24, 96, 53, 125)(25, 97, 47, 119)(27, 99, 55, 127)(29, 101, 58, 130)(30, 102, 37, 109)(32, 104, 46, 118)(33, 105, 39, 111)(34, 106, 60, 132)(38, 110, 66, 138)(41, 113, 62, 134)(43, 115, 50, 122)(48, 120, 71, 143)(49, 121, 63, 135)(51, 123, 72, 144)(52, 124, 69, 141)(54, 126, 68, 140)(56, 128, 67, 139)(57, 129, 65, 137)(59, 131, 70, 142)(61, 133, 64, 136)(145, 217, 147, 219, 149, 221)(146, 218, 150, 222, 152, 224)(148, 220, 155, 227, 156, 228)(151, 223, 161, 233, 162, 234)(153, 225, 165, 237, 167, 239)(154, 226, 168, 240, 169, 241)(157, 229, 174, 246, 176, 248)(158, 230, 177, 249, 178, 250)(159, 231, 179, 251, 181, 253)(160, 232, 182, 254, 183, 255)(163, 235, 188, 260, 190, 262)(164, 236, 191, 263, 192, 264)(166, 238, 194, 266, 195, 267)(170, 242, 193, 265, 200, 272)(171, 243, 197, 269, 201, 273)(172, 244, 198, 270, 203, 275)(173, 245, 196, 268, 204, 276)(175, 247, 205, 277, 206, 278)(180, 252, 202, 274, 208, 280)(184, 256, 207, 279, 212, 284)(185, 257, 210, 282, 213, 285)(186, 258, 211, 283, 214, 286)(187, 259, 209, 281, 215, 287)(189, 261, 216, 288, 199, 271)
	L = (1, 148)(2, 151)(3, 154)(4, 145)(5, 158)(6, 160)(7, 146)(8, 164)(9, 166)(10, 147)(11, 171)(12, 173)(13, 175)(14, 149)(15, 180)(16, 150)(17, 185)(18, 187)(19, 189)(20, 152)(21, 193)(22, 153)(23, 196)(24, 182)(25, 198)(26, 199)(27, 155)(28, 202)(29, 156)(30, 201)(31, 157)(32, 203)(33, 200)(34, 192)(35, 207)(36, 159)(37, 209)(38, 168)(39, 211)(40, 206)(41, 161)(42, 194)(43, 162)(44, 213)(45, 163)(46, 214)(47, 212)(48, 178)(49, 165)(50, 186)(51, 208)(52, 167)(53, 210)(54, 169)(55, 170)(56, 177)(57, 174)(58, 172)(59, 176)(60, 215)(61, 216)(62, 184)(63, 179)(64, 195)(65, 181)(66, 197)(67, 183)(68, 191)(69, 188)(70, 190)(71, 204)(72, 205)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1329
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1327 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * Y3^-2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y2 * R * Y3 * Y1 * Y3^-1 * R * Y2^-1 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 28, 100)(12, 84, 23, 95)(13, 85, 24, 96)(14, 86, 20, 92)(15, 87, 26, 98)(16, 88, 27, 99)(18, 90, 40, 112)(19, 91, 39, 111)(21, 93, 30, 102)(25, 97, 29, 101)(31, 103, 33, 105)(32, 104, 52, 124)(34, 106, 50, 122)(35, 107, 46, 118)(36, 108, 45, 117)(37, 109, 47, 119)(38, 110, 48, 120)(41, 113, 43, 115)(42, 114, 66, 138)(44, 116, 68, 140)(49, 121, 51, 123)(53, 125, 58, 130)(54, 126, 57, 129)(55, 127, 59, 131)(56, 128, 60, 132)(61, 133, 71, 143)(62, 134, 69, 141)(63, 135, 72, 144)(64, 136, 70, 142)(65, 137, 67, 139)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 169, 241, 171, 243)(154, 226, 173, 245, 174, 246)(155, 227, 172, 244, 159, 231)(156, 228, 175, 247, 176, 248)(157, 229, 177, 249, 178, 250)(161, 233, 170, 242, 166, 238)(162, 234, 185, 257, 186, 258)(163, 235, 187, 259, 188, 260)(167, 239, 193, 265, 194, 266)(168, 240, 195, 267, 196, 268)(179, 251, 197, 269, 205, 277)(180, 252, 202, 274, 206, 278)(181, 253, 203, 275, 207, 279)(182, 254, 199, 271, 208, 280)(183, 255, 209, 281, 210, 282)(184, 256, 211, 283, 212, 284)(189, 261, 198, 270, 215, 287)(190, 262, 201, 273, 213, 285)(191, 263, 200, 272, 214, 286)(192, 264, 204, 276, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 167)(8, 170)(9, 163)(10, 146)(11, 168)(12, 166)(13, 147)(14, 179)(15, 150)(16, 181)(17, 183)(18, 153)(19, 149)(20, 189)(21, 191)(22, 157)(23, 155)(24, 151)(25, 180)(26, 154)(27, 192)(28, 184)(29, 190)(30, 182)(31, 197)(32, 199)(33, 201)(34, 203)(35, 169)(36, 158)(37, 174)(38, 160)(39, 172)(40, 161)(41, 205)(42, 214)(43, 206)(44, 208)(45, 173)(46, 164)(47, 171)(48, 165)(49, 202)(50, 200)(51, 198)(52, 204)(53, 195)(54, 175)(55, 194)(56, 176)(57, 193)(58, 177)(59, 196)(60, 178)(61, 209)(62, 211)(63, 186)(64, 210)(65, 213)(66, 216)(67, 215)(68, 207)(69, 185)(70, 212)(71, 187)(72, 188)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1331
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1328 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y2^-1 * Y1 * Y2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3^-1, Y3^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, R * Y2^-1 * Y1 * Y2 * R * Y3^-2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 11, 83)(4, 76, 10, 82)(5, 77, 17, 89)(6, 78, 8, 80)(7, 79, 22, 94)(9, 81, 26, 98)(12, 84, 32, 104)(13, 85, 31, 103)(14, 86, 23, 95)(15, 87, 24, 96)(16, 88, 21, 93)(18, 90, 27, 99)(19, 91, 28, 100)(20, 92, 29, 101)(25, 97, 30, 102)(33, 105, 53, 125)(34, 106, 36, 108)(35, 107, 55, 127)(37, 109, 45, 117)(38, 110, 46, 118)(39, 111, 48, 120)(40, 112, 47, 119)(41, 113, 51, 123)(42, 114, 44, 116)(43, 115, 49, 121)(50, 122, 52, 124)(54, 126, 56, 128)(57, 129, 61, 133)(58, 130, 62, 134)(59, 131, 64, 136)(60, 132, 63, 135)(65, 137, 66, 138)(67, 139, 68, 140)(69, 141, 71, 143)(70, 142, 72, 144)(145, 217, 147, 219, 149, 221)(146, 218, 151, 223, 153, 225)(148, 220, 158, 230, 160, 232)(150, 222, 164, 236, 165, 237)(152, 224, 167, 239, 169, 241)(154, 226, 173, 245, 174, 246)(155, 227, 170, 242, 168, 240)(156, 228, 177, 249, 178, 250)(157, 229, 179, 251, 180, 252)(159, 231, 166, 238, 161, 233)(162, 234, 185, 257, 186, 258)(163, 235, 187, 259, 188, 260)(171, 243, 193, 265, 194, 266)(172, 244, 195, 267, 196, 268)(175, 247, 197, 269, 198, 270)(176, 248, 199, 271, 200, 272)(181, 253, 201, 273, 209, 281)(182, 254, 206, 278, 210, 282)(183, 255, 207, 279, 211, 283)(184, 256, 203, 275, 212, 284)(189, 261, 202, 274, 215, 287)(190, 262, 205, 277, 213, 285)(191, 263, 204, 276, 214, 286)(192, 264, 208, 280, 216, 288)
	L = (1, 148)(2, 152)(3, 156)(4, 159)(5, 162)(6, 145)(7, 157)(8, 168)(9, 171)(10, 146)(11, 175)(12, 151)(13, 147)(14, 181)(15, 150)(16, 183)(17, 172)(18, 170)(19, 149)(20, 189)(21, 191)(22, 176)(23, 190)(24, 154)(25, 184)(26, 163)(27, 161)(28, 153)(29, 182)(30, 192)(31, 166)(32, 155)(33, 201)(34, 203)(35, 205)(36, 207)(37, 173)(38, 158)(39, 169)(40, 160)(41, 209)(42, 214)(43, 210)(44, 212)(45, 167)(46, 164)(47, 174)(48, 165)(49, 213)(50, 216)(51, 215)(52, 211)(53, 206)(54, 204)(55, 202)(56, 208)(57, 199)(58, 177)(59, 198)(60, 178)(61, 197)(62, 179)(63, 200)(64, 180)(65, 193)(66, 195)(67, 186)(68, 194)(69, 185)(70, 196)(71, 187)(72, 188)(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, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1332
Graph:: simple bipartite
	v = 60 e = 144 f = 42
	degree seq :: [ 4^36, 6^24 ]

E22.1329 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (Y3 * Y1^-1)^3, Y1^2 * Y3 * Y2 * Y1^-2 * Y3, Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2, (Y2 * Y1^-1 * Y2 * Y1)^2, (Y1^-2 * Y2 * Y1^-1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 42, 114, 29, 101, 50, 122, 25, 97, 47, 119, 41, 113, 16, 88, 5, 77)(3, 75, 9, 81, 18, 90, 45, 117, 38, 110, 14, 86, 22, 94, 7, 79, 20, 92, 43, 115, 31, 103, 11, 83)(4, 76, 12, 84, 32, 104, 62, 134, 71, 143, 60, 132, 51, 123, 58, 130, 72, 144, 67, 139, 36, 108, 13, 85)(8, 80, 23, 95, 52, 124, 63, 135, 61, 133, 57, 129, 26, 98, 56, 128, 70, 142, 68, 140, 37, 109, 24, 96)(10, 82, 27, 99, 19, 91, 46, 118, 66, 138, 35, 107, 64, 136, 33, 105, 48, 120, 69, 141, 40, 112, 28, 100)(15, 87, 39, 111, 21, 93, 49, 121, 44, 116, 59, 131, 30, 102, 54, 126, 55, 127, 53, 125, 65, 137, 34, 106)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 169, 241)(155, 227, 173, 245)(156, 228, 177, 249)(157, 229, 179, 251)(159, 231, 181, 253)(160, 232, 175, 247)(161, 233, 187, 259)(163, 235, 176, 248)(164, 236, 191, 263)(166, 238, 194, 266)(167, 239, 197, 269)(168, 240, 198, 270)(170, 242, 199, 271)(171, 243, 202, 274)(172, 244, 204, 276)(174, 246, 205, 277)(178, 250, 207, 279)(180, 252, 184, 256)(182, 254, 186, 258)(183, 255, 201, 273)(185, 257, 189, 261)(188, 260, 196, 268)(190, 262, 211, 283)(192, 264, 216, 288)(193, 265, 200, 272)(195, 267, 208, 280)(203, 275, 212, 284)(206, 278, 213, 285)(209, 281, 214, 286)(210, 282, 215, 287)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 170)(10, 147)(11, 174)(12, 178)(13, 167)(14, 181)(15, 149)(16, 184)(17, 188)(18, 176)(19, 150)(20, 192)(21, 151)(22, 195)(23, 157)(24, 190)(25, 199)(26, 153)(27, 203)(28, 200)(29, 205)(30, 155)(31, 180)(32, 162)(33, 207)(34, 156)(35, 197)(36, 175)(37, 158)(38, 210)(39, 213)(40, 160)(41, 214)(42, 215)(43, 196)(44, 161)(45, 209)(46, 168)(47, 216)(48, 164)(49, 204)(50, 208)(51, 166)(52, 187)(53, 179)(54, 211)(55, 169)(56, 172)(57, 206)(58, 212)(59, 171)(60, 193)(61, 173)(62, 201)(63, 177)(64, 194)(65, 189)(66, 182)(67, 198)(68, 202)(69, 183)(70, 185)(71, 186)(72, 191)(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, 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 E22.1326
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1 * Y2)^3, Y2 * Y1^2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1^-1)^3, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 17, 89, 37, 109, 60, 132, 72, 144, 71, 143, 59, 131, 36, 108, 16, 88, 5, 77)(3, 75, 9, 81, 19, 91, 42, 114, 61, 133, 47, 119, 70, 142, 56, 128, 69, 141, 46, 118, 30, 102, 11, 83)(4, 76, 12, 84, 18, 90, 40, 112, 62, 134, 43, 115, 67, 139, 49, 121, 68, 140, 48, 120, 34, 106, 13, 85)(7, 79, 20, 92, 39, 111, 26, 98, 51, 123, 66, 138, 52, 124, 33, 105, 57, 129, 32, 104, 15, 87, 22, 94)(8, 80, 23, 95, 38, 110, 31, 103, 54, 126, 64, 136, 53, 125, 29, 101, 50, 122, 25, 97, 14, 86, 24, 96)(10, 82, 27, 99, 41, 113, 65, 137, 58, 130, 35, 107, 45, 117, 21, 93, 44, 116, 63, 135, 55, 127, 28, 100)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 158, 230)(150, 222, 162, 234)(152, 224, 165, 237)(153, 225, 169, 241)(155, 227, 164, 236)(156, 228, 175, 247)(157, 229, 177, 249)(159, 231, 179, 251)(160, 232, 178, 250)(161, 233, 182, 254)(163, 235, 185, 257)(166, 238, 184, 256)(167, 239, 191, 263)(168, 240, 192, 264)(170, 242, 193, 265)(171, 243, 196, 268)(172, 244, 198, 270)(173, 245, 187, 259)(174, 246, 199, 271)(176, 248, 200, 272)(180, 252, 201, 273)(181, 253, 205, 277)(183, 255, 207, 279)(186, 258, 210, 282)(188, 260, 212, 284)(189, 261, 214, 286)(190, 262, 208, 280)(194, 266, 209, 281)(195, 267, 204, 276)(197, 269, 215, 287)(202, 274, 206, 278)(203, 275, 213, 285)(211, 283, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 159)(6, 163)(7, 165)(8, 146)(9, 170)(10, 147)(11, 173)(12, 176)(13, 167)(14, 179)(15, 149)(16, 174)(17, 183)(18, 185)(19, 150)(20, 187)(21, 151)(22, 190)(23, 157)(24, 186)(25, 193)(26, 153)(27, 197)(28, 195)(29, 155)(30, 160)(31, 200)(32, 156)(33, 191)(34, 199)(35, 158)(36, 194)(37, 206)(38, 207)(39, 161)(40, 208)(41, 162)(42, 168)(43, 164)(44, 213)(45, 211)(46, 166)(47, 177)(48, 210)(49, 169)(50, 180)(51, 172)(52, 215)(53, 171)(54, 204)(55, 178)(56, 175)(57, 209)(58, 205)(59, 212)(60, 198)(61, 202)(62, 181)(63, 182)(64, 184)(65, 201)(66, 192)(67, 189)(68, 203)(69, 188)(70, 216)(71, 196)(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, 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 E22.1325
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1^-1, (Y1 * Y3^-1)^3, Y1^-2 * Y3^-1 * Y1^2 * Y3^-1, Y1^-1 * Y3^-1 * Y1^-3 * Y2 * Y1 * Y3, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y3^2 * Y1^-1 * Y3^-1 * Y1^-1 * Y2, Y1^12 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 53, 125, 45, 117, 14, 86, 31, 103, 60, 132, 52, 124, 20, 92, 5, 77)(3, 75, 11, 83, 37, 109, 67, 139, 51, 123, 23, 95, 6, 78, 22, 94, 26, 98, 61, 133, 44, 116, 13, 85)(4, 76, 15, 87, 27, 99, 63, 135, 50, 122, 65, 137, 41, 113, 59, 131, 25, 97, 57, 129, 48, 120, 17, 89)(8, 80, 28, 100, 64, 136, 46, 118, 19, 91, 36, 108, 10, 82, 35, 107, 55, 127, 39, 111, 68, 140, 30, 102)(9, 81, 32, 104, 56, 128, 38, 110, 18, 90, 49, 121, 66, 138, 43, 115, 54, 126, 40, 112, 21, 93, 34, 106)(12, 84, 33, 105, 58, 130, 72, 144, 70, 142, 47, 119, 16, 88, 29, 101, 62, 134, 71, 143, 69, 141, 42, 114)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 182, 254)(157, 229, 172, 244)(159, 231, 190, 262)(160, 232, 185, 257)(161, 233, 176, 248)(163, 235, 189, 261)(164, 236, 194, 266)(165, 237, 191, 263)(166, 238, 183, 255)(167, 239, 187, 259)(168, 240, 198, 270)(170, 242, 204, 276)(171, 243, 202, 274)(174, 246, 201, 273)(177, 249, 210, 282)(178, 250, 205, 277)(179, 251, 209, 281)(180, 252, 211, 283)(181, 253, 206, 278)(184, 256, 203, 275)(186, 258, 212, 284)(188, 260, 214, 286)(192, 264, 213, 285)(193, 265, 207, 279)(195, 267, 197, 269)(196, 268, 199, 271)(200, 272, 215, 287)(208, 280, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 183)(12, 185)(13, 187)(14, 147)(15, 184)(16, 150)(17, 179)(18, 191)(19, 186)(20, 195)(21, 149)(22, 182)(23, 172)(24, 199)(25, 202)(26, 206)(27, 151)(28, 209)(29, 210)(30, 211)(31, 152)(32, 167)(33, 154)(34, 207)(35, 157)(36, 201)(37, 204)(38, 203)(39, 159)(40, 155)(41, 158)(42, 165)(43, 161)(44, 197)(45, 162)(46, 166)(47, 212)(48, 164)(49, 205)(50, 213)(51, 214)(52, 198)(53, 194)(54, 215)(55, 216)(56, 168)(57, 193)(58, 181)(59, 190)(60, 169)(61, 180)(62, 171)(63, 174)(64, 196)(65, 176)(66, 175)(67, 178)(68, 189)(69, 188)(70, 192)(71, 208)(72, 200)(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, 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 E22.1327
Graph:: bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-2 * Y1 * Y3 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y1 * Y3^-1)^3, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y2 * Y1 * Y3^-1 * Y1^3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^-3 * Y2 * Y1 * Y3^-1, (Y1^-2 * R * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 24, 96, 53, 125, 42, 114, 12, 84, 29, 101, 58, 130, 52, 124, 20, 92, 5, 77)(3, 75, 11, 83, 37, 109, 68, 140, 48, 120, 17, 89, 4, 76, 15, 87, 27, 99, 63, 135, 43, 115, 13, 85)(6, 78, 22, 94, 26, 98, 61, 133, 50, 122, 65, 137, 41, 113, 59, 131, 25, 97, 57, 129, 51, 123, 23, 95)(8, 80, 28, 100, 64, 136, 46, 118, 21, 93, 34, 106, 9, 81, 32, 104, 56, 128, 40, 112, 67, 139, 30, 102)(10, 82, 35, 107, 55, 127, 38, 110, 18, 90, 49, 121, 66, 138, 44, 116, 54, 126, 39, 111, 19, 91, 36, 108)(14, 86, 33, 105, 60, 132, 72, 144, 69, 141, 47, 119, 16, 88, 31, 103, 62, 134, 71, 143, 70, 142, 45, 117)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 162, 234)(150, 222, 156, 228)(151, 223, 169, 241)(153, 225, 175, 247)(154, 226, 173, 245)(155, 227, 182, 254)(157, 229, 172, 244)(159, 231, 184, 256)(160, 232, 185, 257)(161, 233, 188, 260)(163, 235, 191, 263)(164, 236, 194, 266)(165, 237, 186, 258)(166, 238, 190, 262)(167, 239, 179, 251)(168, 240, 198, 270)(170, 242, 204, 276)(171, 243, 202, 274)(174, 246, 201, 273)(176, 248, 209, 281)(177, 249, 210, 282)(178, 250, 212, 284)(180, 252, 207, 279)(181, 253, 206, 278)(183, 255, 203, 275)(187, 259, 213, 285)(189, 261, 211, 283)(192, 264, 197, 269)(193, 265, 205, 277)(195, 267, 214, 286)(196, 268, 200, 272)(199, 271, 215, 287)(208, 280, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 163)(6, 145)(7, 170)(8, 173)(9, 177)(10, 146)(11, 183)(12, 185)(13, 176)(14, 147)(15, 190)(16, 150)(17, 179)(18, 186)(19, 189)(20, 195)(21, 149)(22, 184)(23, 188)(24, 199)(25, 202)(26, 206)(27, 151)(28, 161)(29, 210)(30, 205)(31, 152)(32, 167)(33, 154)(34, 207)(35, 209)(36, 212)(37, 204)(38, 159)(39, 166)(40, 155)(41, 158)(42, 211)(43, 214)(44, 157)(45, 165)(46, 203)(47, 162)(48, 164)(49, 201)(50, 197)(51, 213)(52, 208)(53, 187)(54, 196)(55, 216)(56, 168)(57, 178)(58, 181)(59, 182)(60, 169)(61, 180)(62, 171)(63, 193)(64, 215)(65, 172)(66, 175)(67, 191)(68, 174)(69, 192)(70, 194)(71, 198)(72, 200)(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, 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 E22.1328
Graph:: simple bipartite
	v = 42 e = 144 f = 60
	degree seq :: [ 4^36, 24^6 ]

E22.1333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 12})
Quotient :: dipole
Aut^+ = C3 x S4 (small group id <72, 42>)
Aut   = S3 x S4 (small group id <144, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^3, (Y2^-1 * Y3)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y1, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y3 * Y2 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^3 * Y1 * Y2^-1, (Y1 * Y3^-1)^3, Y2^2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y3, (Y2 * Y1)^4, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 5, 77)(3, 75, 12, 84, 15, 87)(4, 76, 17, 89, 19, 91)(6, 78, 23, 95, 25, 97)(7, 79, 28, 100, 9, 81)(8, 80, 30, 102, 32, 104)(10, 82, 35, 107, 37, 109)(11, 83, 40, 112, 21, 93)(13, 85, 43, 115, 46, 118)(14, 86, 48, 120, 22, 94)(16, 88, 51, 123, 34, 106)(18, 90, 54, 126, 39, 111)(20, 92, 29, 101, 44, 116)(24, 96, 61, 133, 63, 135)(26, 98, 64, 136, 41, 113)(27, 99, 59, 131, 33, 105)(31, 103, 45, 117, 69, 141)(36, 108, 57, 129, 56, 128)(38, 110, 65, 137, 67, 139)(42, 114, 53, 125, 50, 122)(47, 119, 55, 127, 71, 143)(49, 121, 52, 124, 70, 142)(58, 130, 68, 140, 62, 134)(60, 132, 72, 144, 66, 138)(145, 217, 147, 219, 157, 229, 188, 260, 214, 286, 177, 249, 153, 225, 178, 250, 215, 287, 179, 251, 170, 242, 150, 222)(146, 218, 152, 224, 175, 247, 159, 231, 193, 265, 198, 270, 165, 237, 203, 275, 191, 263, 158, 230, 182, 254, 154, 226)(148, 220, 162, 234, 199, 271, 167, 239, 204, 276, 166, 238, 149, 221, 164, 236, 202, 274, 176, 248, 196, 268, 160, 232)(151, 223, 168, 240, 206, 278, 195, 267, 208, 280, 201, 273, 163, 235, 169, 241, 187, 259, 186, 258, 210, 282, 173, 245)(155, 227, 180, 252, 190, 262, 171, 243, 209, 281, 194, 266, 172, 244, 181, 253, 189, 261, 207, 279, 185, 257, 156, 228)(161, 233, 197, 269, 213, 285, 183, 255, 216, 288, 205, 277, 184, 256, 192, 264, 212, 284, 200, 272, 211, 283, 174, 246)
	L = (1, 148)(2, 153)(3, 158)(4, 151)(5, 165)(6, 168)(7, 145)(8, 167)(9, 155)(10, 180)(11, 146)(12, 178)(13, 189)(14, 160)(15, 194)(16, 147)(17, 149)(18, 200)(19, 184)(20, 179)(21, 161)(22, 197)(23, 177)(24, 171)(25, 176)(26, 209)(27, 150)(28, 163)(29, 162)(30, 203)(31, 212)(32, 205)(33, 152)(34, 186)(35, 198)(36, 183)(37, 188)(38, 216)(39, 154)(40, 172)(41, 210)(42, 156)(43, 215)(44, 201)(45, 191)(46, 206)(47, 157)(48, 159)(49, 170)(50, 192)(51, 166)(52, 182)(53, 195)(54, 164)(55, 175)(56, 173)(57, 181)(58, 187)(59, 207)(60, 208)(61, 169)(62, 213)(63, 174)(64, 214)(65, 193)(66, 211)(67, 185)(68, 199)(69, 190)(70, 204)(71, 202)(72, 196)(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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1324
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1334 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^6, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2 * T1 * T2 * T1^-2 * T2 * T1, T1^2 * T2^-1 * T1^3 * T2 * T1, T2^2 * T1 * T2^4 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 63, 46, 18, 45, 72, 44, 17, 5)(2, 7, 22, 54, 69, 37, 13, 36, 64, 58, 26, 8)(4, 12, 31, 61, 51, 20, 6, 19, 48, 70, 40, 14)(9, 28, 60, 49, 42, 65, 32, 39, 68, 35, 15, 29)(11, 24, 53, 21, 41, 59, 27, 57, 71, 43, 16, 33)(23, 50, 66, 47, 56, 62, 52, 38, 67, 34, 25, 55)(73, 74, 78, 90, 85, 76)(75, 81, 99, 117, 104, 83)(77, 87, 113, 118, 114, 88)(79, 93, 124, 108, 115, 95)(80, 96, 128, 109, 129, 97)(82, 94, 120, 144, 136, 103)(84, 106, 121, 91, 119, 107)(86, 110, 100, 92, 122, 111)(89, 98, 123, 135, 141, 112)(101, 133, 127, 137, 142, 134)(102, 132, 143, 116, 140, 125)(105, 138, 126, 131, 139, 130)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1335
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^6, T1^6, T1 * T2^3 * T1^2, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 18, 90, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 13, 85, 26, 98, 8, 80)(4, 76, 12, 84, 20, 92, 6, 78, 19, 91, 14, 86)(9, 81, 28, 100, 55, 127, 33, 105, 58, 130, 29, 101)(11, 83, 32, 104, 54, 126, 27, 99, 24, 96, 34, 106)(15, 87, 39, 111, 36, 108, 30, 102, 59, 131, 40, 112)(16, 88, 41, 113, 61, 133, 31, 103, 60, 132, 42, 114)(21, 93, 47, 119, 70, 142, 50, 122, 71, 143, 48, 120)(23, 95, 37, 109, 57, 129, 46, 118, 44, 116, 51, 123)(25, 97, 52, 124, 72, 144, 49, 121, 66, 138, 53, 125)(35, 107, 56, 128, 62, 134, 43, 115, 67, 139, 64, 136)(38, 110, 63, 135, 69, 141, 45, 117, 68, 140, 65, 137)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 102)(11, 75)(12, 107)(13, 76)(14, 109)(15, 103)(16, 77)(17, 105)(18, 85)(19, 115)(20, 116)(21, 118)(22, 104)(23, 79)(24, 121)(25, 80)(26, 122)(27, 89)(28, 119)(29, 113)(30, 88)(31, 82)(32, 97)(33, 83)(34, 134)(35, 112)(36, 84)(37, 117)(38, 86)(39, 120)(40, 91)(41, 123)(42, 125)(43, 108)(44, 110)(45, 92)(46, 98)(47, 139)(48, 124)(49, 94)(50, 95)(51, 127)(52, 131)(53, 141)(54, 136)(55, 132)(56, 100)(57, 101)(58, 143)(59, 142)(60, 129)(61, 144)(62, 140)(63, 106)(64, 135)(65, 114)(66, 111)(67, 130)(68, 126)(69, 133)(70, 138)(71, 128)(72, 137)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1334
Transitivity :: ET+ VT+ AT
Graph::
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2^-1)^3, Y1^6, Y2^-2 * Y1 * Y2^2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^2 * Y2^-1 * Y1^3 * Y2 * Y1, Y2 * Y1^3 * Y2^5, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 45, 117, 32, 104, 11, 83)(5, 77, 15, 87, 41, 113, 46, 118, 42, 114, 16, 88)(7, 79, 21, 93, 52, 124, 36, 108, 43, 115, 23, 95)(8, 80, 24, 96, 56, 128, 37, 109, 57, 129, 25, 97)(10, 82, 22, 94, 48, 120, 72, 144, 64, 136, 31, 103)(12, 84, 34, 106, 49, 121, 19, 91, 47, 119, 35, 107)(14, 86, 38, 110, 28, 100, 20, 92, 50, 122, 39, 111)(17, 89, 26, 98, 51, 123, 63, 135, 69, 141, 40, 112)(29, 101, 61, 133, 55, 127, 65, 137, 70, 142, 62, 134)(30, 102, 60, 132, 71, 143, 44, 116, 68, 140, 53, 125)(33, 105, 66, 138, 54, 126, 59, 131, 67, 139, 58, 130)(145, 217, 147, 219, 154, 226, 174, 246, 207, 279, 190, 262, 162, 234, 189, 261, 216, 288, 188, 260, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 198, 270, 213, 285, 181, 253, 157, 229, 180, 252, 208, 280, 202, 274, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 205, 277, 195, 267, 164, 236, 150, 222, 163, 235, 192, 264, 214, 286, 184, 256, 158, 230)(153, 225, 172, 244, 204, 276, 193, 265, 186, 258, 209, 281, 176, 248, 183, 255, 212, 284, 179, 251, 159, 231, 173, 245)(155, 227, 168, 240, 197, 269, 165, 237, 185, 257, 203, 275, 171, 243, 201, 273, 215, 287, 187, 259, 160, 232, 177, 249)(167, 239, 194, 266, 210, 282, 191, 263, 200, 272, 206, 278, 196, 268, 182, 254, 211, 283, 178, 250, 169, 241, 199, 271)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 168)(12, 175)(13, 180)(14, 148)(15, 173)(16, 177)(17, 149)(18, 189)(19, 192)(20, 150)(21, 185)(22, 198)(23, 194)(24, 197)(25, 199)(26, 152)(27, 201)(28, 204)(29, 153)(30, 207)(31, 205)(32, 183)(33, 155)(34, 169)(35, 159)(36, 208)(37, 157)(38, 211)(39, 212)(40, 158)(41, 203)(42, 209)(43, 160)(44, 161)(45, 216)(46, 162)(47, 200)(48, 214)(49, 186)(50, 210)(51, 164)(52, 182)(53, 165)(54, 213)(55, 167)(56, 206)(57, 215)(58, 170)(59, 171)(60, 193)(61, 195)(62, 196)(63, 190)(64, 202)(65, 176)(66, 191)(67, 178)(68, 179)(69, 181)(70, 184)(71, 187)(72, 188)(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, 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 E22.1337
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x SL(2,3) (small group id <72, 25>)
Aut   = (C3 x SL(2,3)) : C2 (small group id <144, 125>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, Y3^-2 * Y2^-1 * Y3^2 * Y2, Y2^6, Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-2 * Y3^-1, Y2^3 * Y3 * Y2^3 * Y3^-1, Y3 * Y2^3 * Y3^5, (Y3^-1 * Y1^-1)^12 ]
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, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 189, 261, 177, 249, 155, 227)(149, 221, 159, 231, 185, 257, 190, 262, 187, 259, 160, 232)(151, 223, 165, 237, 196, 268, 181, 253, 199, 271, 167, 239)(152, 224, 168, 240, 201, 273, 182, 254, 176, 248, 169, 241)(154, 226, 166, 238, 192, 264, 216, 288, 210, 282, 175, 247)(156, 228, 179, 251, 186, 258, 163, 235, 191, 263, 180, 252)(158, 230, 183, 255, 194, 266, 164, 236, 193, 265, 172, 244)(161, 233, 170, 242, 195, 267, 207, 279, 214, 286, 184, 256)(173, 245, 205, 277, 200, 272, 211, 283, 209, 281, 206, 278)(174, 246, 204, 276, 197, 269, 188, 260, 215, 287, 208, 280)(178, 250, 212, 284, 202, 274, 203, 275, 213, 285, 198, 270)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 181)(14, 148)(15, 173)(16, 178)(17, 149)(18, 189)(19, 192)(20, 150)(21, 160)(22, 198)(23, 183)(24, 197)(25, 200)(26, 152)(27, 168)(28, 204)(29, 153)(30, 207)(31, 209)(32, 208)(33, 194)(34, 155)(35, 201)(36, 187)(37, 210)(38, 157)(39, 213)(40, 158)(41, 203)(42, 159)(43, 211)(44, 161)(45, 216)(46, 162)(47, 169)(48, 205)(49, 212)(50, 215)(51, 164)(52, 193)(53, 165)(54, 214)(55, 185)(56, 167)(57, 206)(58, 170)(59, 171)(60, 180)(61, 184)(62, 196)(63, 190)(64, 199)(65, 195)(66, 202)(67, 177)(68, 191)(69, 179)(70, 182)(71, 186)(72, 188)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1336
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1338 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^6, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 43, 55, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 64, 54, 42, 30, 18, 8)(4, 11, 22, 34, 46, 58, 65, 56, 44, 32, 20, 10)(6, 15, 27, 39, 51, 62, 70, 63, 52, 40, 28, 16)(12, 21, 33, 45, 57, 66, 71, 67, 59, 47, 35, 23)(14, 25, 37, 49, 60, 68, 72, 69, 61, 50, 38, 26)(73, 74, 78, 86, 84, 76)(75, 80, 87, 98, 93, 82)(77, 79, 88, 97, 95, 83)(81, 90, 99, 110, 105, 92)(85, 89, 100, 109, 107, 94)(91, 102, 111, 122, 117, 104)(96, 101, 112, 121, 119, 106)(103, 114, 123, 133, 129, 116)(108, 113, 124, 132, 131, 118)(115, 126, 134, 141, 138, 128)(120, 125, 135, 140, 139, 130)(127, 136, 142, 144, 143, 137)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1341
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1339 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1)^2, (F * T2)^2, (F * T1)^2, (T2^-2 * T1^-1)^2, T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^3, (T2^-2 * T1^-1)^2, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 52, 40, 28, 15, 5)(2, 7, 20, 32, 44, 56, 67, 58, 46, 34, 22, 8)(4, 11, 26, 38, 50, 62, 70, 60, 48, 36, 24, 13)(6, 17, 29, 41, 53, 64, 71, 65, 54, 42, 30, 18)(9, 16, 14, 27, 39, 51, 63, 69, 59, 47, 35, 23)(12, 21, 33, 45, 57, 68, 72, 66, 55, 43, 31, 19)(73, 74, 78, 88, 84, 76)(75, 81, 89, 85, 93, 80)(77, 83, 90, 79, 91, 86)(82, 96, 101, 94, 105, 95)(87, 99, 102, 98, 103, 92)(97, 106, 113, 107, 117, 108)(100, 104, 114, 111, 115, 110)(109, 119, 125, 120, 129, 118)(112, 122, 126, 116, 127, 123)(121, 132, 136, 130, 140, 131)(124, 135, 137, 134, 138, 128)(133, 139, 143, 141, 144, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1340
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1340 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, T1^2 * T2^-2, (F * T2)^2, (F * T1)^2, T2^2 * T1^4, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 6, 78, 15, 87, 11, 83, 5, 77)(2, 74, 7, 79, 14, 86, 12, 84, 4, 76, 8, 80)(9, 81, 19, 91, 13, 85, 21, 93, 10, 82, 20, 92)(16, 88, 22, 94, 18, 90, 24, 96, 17, 89, 23, 95)(25, 97, 31, 103, 27, 99, 33, 105, 26, 98, 32, 104)(28, 100, 34, 106, 30, 102, 36, 108, 29, 101, 35, 107)(37, 109, 43, 115, 39, 111, 45, 117, 38, 110, 44, 116)(40, 112, 46, 118, 42, 114, 48, 120, 41, 113, 47, 119)(49, 121, 55, 127, 51, 123, 57, 129, 50, 122, 56, 128)(52, 124, 58, 130, 54, 126, 60, 132, 53, 125, 59, 131)(61, 133, 67, 139, 63, 135, 69, 141, 62, 134, 68, 140)(64, 136, 70, 142, 66, 138, 72, 144, 65, 137, 71, 143)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 82)(6, 86)(7, 88)(8, 89)(9, 87)(10, 75)(11, 76)(12, 90)(13, 77)(14, 83)(15, 85)(16, 84)(17, 79)(18, 80)(19, 97)(20, 98)(21, 99)(22, 100)(23, 101)(24, 102)(25, 93)(26, 91)(27, 92)(28, 96)(29, 94)(30, 95)(31, 109)(32, 110)(33, 111)(34, 112)(35, 113)(36, 114)(37, 105)(38, 103)(39, 104)(40, 108)(41, 106)(42, 107)(43, 121)(44, 122)(45, 123)(46, 124)(47, 125)(48, 126)(49, 117)(50, 115)(51, 116)(52, 120)(53, 118)(54, 119)(55, 133)(56, 134)(57, 135)(58, 136)(59, 137)(60, 138)(61, 129)(62, 127)(63, 128)(64, 132)(65, 130)(66, 131)(67, 142)(68, 143)(69, 144)(70, 141)(71, 139)(72, 140)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1339
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1341 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1^4, T2^6, (T2 * T1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 15, 87, 6, 78, 5, 77)(2, 74, 7, 79, 4, 76, 12, 84, 14, 86, 8, 80)(9, 81, 19, 91, 11, 83, 21, 93, 13, 85, 20, 92)(16, 88, 22, 94, 17, 89, 24, 96, 18, 90, 23, 95)(25, 97, 31, 103, 26, 98, 33, 105, 27, 99, 32, 104)(28, 100, 34, 106, 29, 101, 36, 108, 30, 102, 35, 107)(37, 109, 43, 115, 38, 110, 45, 117, 39, 111, 44, 116)(40, 112, 46, 118, 41, 113, 48, 120, 42, 114, 47, 119)(49, 121, 55, 127, 50, 122, 57, 129, 51, 123, 56, 128)(52, 124, 58, 130, 53, 125, 60, 132, 54, 126, 59, 131)(61, 133, 67, 139, 62, 134, 69, 141, 63, 135, 68, 140)(64, 136, 70, 142, 65, 137, 72, 144, 66, 138, 71, 143)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 85)(6, 86)(7, 88)(8, 90)(9, 77)(10, 76)(11, 75)(12, 89)(13, 87)(14, 82)(15, 83)(16, 80)(17, 79)(18, 84)(19, 97)(20, 99)(21, 98)(22, 100)(23, 102)(24, 101)(25, 92)(26, 91)(27, 93)(28, 95)(29, 94)(30, 96)(31, 109)(32, 111)(33, 110)(34, 112)(35, 114)(36, 113)(37, 104)(38, 103)(39, 105)(40, 107)(41, 106)(42, 108)(43, 121)(44, 123)(45, 122)(46, 124)(47, 126)(48, 125)(49, 116)(50, 115)(51, 117)(52, 119)(53, 118)(54, 120)(55, 133)(56, 135)(57, 134)(58, 136)(59, 138)(60, 137)(61, 128)(62, 127)(63, 129)(64, 131)(65, 130)(66, 132)(67, 142)(68, 143)(69, 144)(70, 140)(71, 141)(72, 139)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1338
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^6, (Y3^-1 * Y1^-1)^6, Y2^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 14, 86, 12, 84, 4, 76)(3, 75, 8, 80, 15, 87, 26, 98, 21, 93, 10, 82)(5, 77, 7, 79, 16, 88, 25, 97, 23, 95, 11, 83)(9, 81, 18, 90, 27, 99, 38, 110, 33, 105, 20, 92)(13, 85, 17, 89, 28, 100, 37, 109, 35, 107, 22, 94)(19, 91, 30, 102, 39, 111, 50, 122, 45, 117, 32, 104)(24, 96, 29, 101, 40, 112, 49, 121, 47, 119, 34, 106)(31, 103, 42, 114, 51, 123, 61, 133, 57, 129, 44, 116)(36, 108, 41, 113, 52, 124, 60, 132, 59, 131, 46, 118)(43, 115, 54, 126, 62, 134, 69, 141, 66, 138, 56, 128)(48, 120, 53, 125, 63, 135, 68, 140, 67, 139, 58, 130)(55, 127, 64, 136, 70, 142, 72, 144, 71, 143, 65, 137)(145, 217, 147, 219, 153, 225, 163, 235, 175, 247, 187, 259, 199, 271, 192, 264, 180, 252, 168, 240, 157, 229, 149, 221)(146, 218, 151, 223, 161, 233, 173, 245, 185, 257, 197, 269, 208, 280, 198, 270, 186, 258, 174, 246, 162, 234, 152, 224)(148, 220, 155, 227, 166, 238, 178, 250, 190, 262, 202, 274, 209, 281, 200, 272, 188, 260, 176, 248, 164, 236, 154, 226)(150, 222, 159, 231, 171, 243, 183, 255, 195, 267, 206, 278, 214, 286, 207, 279, 196, 268, 184, 256, 172, 244, 160, 232)(156, 228, 165, 237, 177, 249, 189, 261, 201, 273, 210, 282, 215, 287, 211, 283, 203, 275, 191, 263, 179, 251, 167, 239)(158, 230, 169, 241, 181, 253, 193, 265, 204, 276, 212, 284, 216, 288, 213, 285, 205, 277, 194, 266, 182, 254, 170, 242)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 148)(11, 166)(12, 165)(13, 149)(14, 169)(15, 171)(16, 150)(17, 173)(18, 152)(19, 175)(20, 154)(21, 177)(22, 178)(23, 156)(24, 157)(25, 181)(26, 158)(27, 183)(28, 160)(29, 185)(30, 162)(31, 187)(32, 164)(33, 189)(34, 190)(35, 167)(36, 168)(37, 193)(38, 170)(39, 195)(40, 172)(41, 197)(42, 174)(43, 199)(44, 176)(45, 201)(46, 202)(47, 179)(48, 180)(49, 204)(50, 182)(51, 206)(52, 184)(53, 208)(54, 186)(55, 192)(56, 188)(57, 210)(58, 209)(59, 191)(60, 212)(61, 194)(62, 214)(63, 196)(64, 198)(65, 200)(66, 215)(67, 203)(68, 216)(69, 205)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 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 E22.1344
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-2 * Y1^-1)^2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^3, (Y2^-2 * Y1^-1)^2, Y2^12, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 12, 84, 4, 76)(3, 75, 9, 81, 17, 89, 13, 85, 21, 93, 8, 80)(5, 77, 11, 83, 18, 90, 7, 79, 19, 91, 14, 86)(10, 82, 24, 96, 29, 101, 22, 94, 33, 105, 23, 95)(15, 87, 27, 99, 30, 102, 26, 98, 31, 103, 20, 92)(25, 97, 34, 106, 41, 113, 35, 107, 45, 117, 36, 108)(28, 100, 32, 104, 42, 114, 39, 111, 43, 115, 38, 110)(37, 109, 47, 119, 53, 125, 48, 120, 57, 129, 46, 118)(40, 112, 50, 122, 54, 126, 44, 116, 55, 127, 51, 123)(49, 121, 60, 132, 64, 136, 58, 130, 68, 140, 59, 131)(52, 124, 63, 135, 65, 137, 62, 134, 66, 138, 56, 128)(61, 133, 67, 139, 71, 143, 69, 141, 72, 144, 70, 142)(145, 217, 147, 219, 154, 226, 169, 241, 181, 253, 193, 265, 205, 277, 196, 268, 184, 256, 172, 244, 159, 231, 149, 221)(146, 218, 151, 223, 164, 236, 176, 248, 188, 260, 200, 272, 211, 283, 202, 274, 190, 262, 178, 250, 166, 238, 152, 224)(148, 220, 155, 227, 170, 242, 182, 254, 194, 266, 206, 278, 214, 286, 204, 276, 192, 264, 180, 252, 168, 240, 157, 229)(150, 222, 161, 233, 173, 245, 185, 257, 197, 269, 208, 280, 215, 287, 209, 281, 198, 270, 186, 258, 174, 246, 162, 234)(153, 225, 160, 232, 158, 230, 171, 243, 183, 255, 195, 267, 207, 279, 213, 285, 203, 275, 191, 263, 179, 251, 167, 239)(156, 228, 165, 237, 177, 249, 189, 261, 201, 273, 212, 284, 216, 288, 210, 282, 199, 271, 187, 259, 175, 247, 163, 235)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 161)(7, 164)(8, 146)(9, 160)(10, 169)(11, 170)(12, 165)(13, 148)(14, 171)(15, 149)(16, 158)(17, 173)(18, 150)(19, 156)(20, 176)(21, 177)(22, 152)(23, 153)(24, 157)(25, 181)(26, 182)(27, 183)(28, 159)(29, 185)(30, 162)(31, 163)(32, 188)(33, 189)(34, 166)(35, 167)(36, 168)(37, 193)(38, 194)(39, 195)(40, 172)(41, 197)(42, 174)(43, 175)(44, 200)(45, 201)(46, 178)(47, 179)(48, 180)(49, 205)(50, 206)(51, 207)(52, 184)(53, 208)(54, 186)(55, 187)(56, 211)(57, 212)(58, 190)(59, 191)(60, 192)(61, 196)(62, 214)(63, 213)(64, 215)(65, 198)(66, 199)(67, 202)(68, 216)(69, 203)(70, 204)(71, 209)(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, 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 E22.1345
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y3^5 * Y2 * Y3^-7 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
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, 158, 230, 156, 228, 148, 220)(147, 219, 152, 224, 159, 231, 170, 242, 165, 237, 154, 226)(149, 221, 151, 223, 160, 232, 169, 241, 167, 239, 155, 227)(153, 225, 162, 234, 171, 243, 182, 254, 177, 249, 164, 236)(157, 229, 161, 233, 172, 244, 181, 253, 179, 251, 166, 238)(163, 235, 174, 246, 183, 255, 194, 266, 189, 261, 176, 248)(168, 240, 173, 245, 184, 256, 193, 265, 191, 263, 178, 250)(175, 247, 186, 258, 195, 267, 205, 277, 201, 273, 188, 260)(180, 252, 185, 257, 196, 268, 204, 276, 203, 275, 190, 262)(187, 259, 198, 270, 206, 278, 213, 285, 210, 282, 200, 272)(192, 264, 197, 269, 207, 279, 212, 284, 211, 283, 202, 274)(199, 271, 208, 280, 214, 286, 216, 288, 215, 287, 209, 281)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 159)(7, 161)(8, 146)(9, 163)(10, 148)(11, 166)(12, 165)(13, 149)(14, 169)(15, 171)(16, 150)(17, 173)(18, 152)(19, 175)(20, 154)(21, 177)(22, 178)(23, 156)(24, 157)(25, 181)(26, 158)(27, 183)(28, 160)(29, 185)(30, 162)(31, 187)(32, 164)(33, 189)(34, 190)(35, 167)(36, 168)(37, 193)(38, 170)(39, 195)(40, 172)(41, 197)(42, 174)(43, 199)(44, 176)(45, 201)(46, 202)(47, 179)(48, 180)(49, 204)(50, 182)(51, 206)(52, 184)(53, 208)(54, 186)(55, 192)(56, 188)(57, 210)(58, 209)(59, 191)(60, 212)(61, 194)(62, 214)(63, 196)(64, 198)(65, 200)(66, 215)(67, 203)(68, 216)(69, 205)(70, 207)(71, 211)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1342
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D24 (small group id <72, 28>)
Aut   = D24 x S3 (small group id <144, 144>)
|r| :: 2
Presentation :: [ Y1, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2^-3, Y3 * Y2^-1 * Y3 * Y2^3, (R * Y2 * Y3^-1)^2, Y3^5 * Y2^-1 * Y3^-7 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
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, 160, 232, 157, 229, 148, 220)(147, 219, 153, 225, 161, 233, 152, 224, 165, 237, 155, 227)(149, 221, 158, 230, 162, 234, 156, 228, 164, 236, 151, 223)(154, 226, 168, 240, 173, 245, 167, 239, 177, 249, 166, 238)(159, 231, 170, 242, 174, 246, 163, 235, 175, 247, 171, 243)(169, 241, 178, 250, 185, 257, 180, 252, 189, 261, 179, 251)(172, 244, 176, 248, 186, 258, 183, 255, 187, 259, 182, 254)(181, 253, 191, 263, 197, 269, 190, 262, 201, 273, 192, 264)(184, 256, 195, 267, 198, 270, 194, 266, 199, 271, 188, 260)(193, 265, 204, 276, 208, 280, 203, 275, 212, 284, 202, 274)(196, 268, 206, 278, 209, 281, 200, 272, 210, 282, 207, 279)(205, 277, 211, 283, 215, 287, 214, 286, 216, 288, 213, 285)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 169)(11, 160)(12, 170)(13, 165)(14, 171)(15, 149)(16, 158)(17, 173)(18, 150)(19, 176)(20, 157)(21, 177)(22, 152)(23, 153)(24, 155)(25, 181)(26, 182)(27, 183)(28, 159)(29, 185)(30, 162)(31, 164)(32, 188)(33, 189)(34, 166)(35, 167)(36, 168)(37, 193)(38, 194)(39, 195)(40, 172)(41, 197)(42, 174)(43, 175)(44, 200)(45, 201)(46, 178)(47, 179)(48, 180)(49, 205)(50, 206)(51, 207)(52, 184)(53, 208)(54, 186)(55, 187)(56, 211)(57, 212)(58, 190)(59, 191)(60, 192)(61, 196)(62, 213)(63, 214)(64, 215)(65, 198)(66, 199)(67, 202)(68, 216)(69, 203)(70, 204)(71, 209)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1343
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1346 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|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, T2^6, T1^6, T2^-2 * T1^-1 * T2^-2 * T1 * T2^-2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 48, 26, 8)(4, 12, 31, 58, 37, 14)(6, 19, 42, 63, 45, 20)(9, 28, 54, 38, 15, 29)(11, 32, 57, 39, 16, 33)(13, 27, 53, 69, 59, 35)(18, 40, 61, 71, 62, 41)(21, 46, 67, 51, 24, 47)(23, 49, 68, 52, 25, 50)(34, 55, 70, 60, 36, 56)(43, 64, 72, 66, 44, 65)(73, 74, 78, 90, 85, 76)(75, 81, 99, 115, 91, 83)(77, 87, 107, 116, 92, 88)(79, 93, 84, 106, 112, 95)(80, 96, 86, 108, 113, 97)(82, 94, 114, 133, 125, 103)(89, 98, 117, 134, 131, 109)(100, 118, 104, 121, 136, 127)(101, 119, 105, 122, 137, 128)(102, 126, 141, 144, 135, 129)(110, 123, 111, 124, 138, 132)(120, 139, 130, 142, 143, 140)
	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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1356
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1347 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1^-1, (T1^-1 * T2^-1 * T1^-1)^2, T2^6, T1^6, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, (T2^-1 * T1)^4, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T1 * T2 * T1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 17, 5)(2, 7, 22, 52, 26, 8)(4, 12, 31, 56, 39, 14)(6, 19, 45, 33, 49, 20)(9, 28, 61, 41, 15, 29)(11, 32, 47, 42, 16, 34)(13, 37, 64, 40, 60, 27)(18, 43, 66, 54, 69, 44)(21, 50, 36, 57, 24, 51)(23, 53, 68, 58, 25, 55)(35, 62, 67, 65, 38, 63)(46, 70, 59, 72, 48, 71)(73, 74, 78, 90, 85, 76)(75, 81, 99, 131, 105, 83)(77, 87, 112, 118, 91, 88)(79, 93, 86, 110, 126, 95)(80, 96, 128, 139, 115, 97)(82, 94, 117, 138, 136, 103)(84, 107, 116, 140, 124, 108)(89, 98, 121, 141, 132, 111)(92, 119, 102, 133, 109, 120)(100, 122, 106, 127, 143, 134)(101, 123, 114, 130, 144, 135)(104, 125, 142, 137, 113, 129)
	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) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1357
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1348 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^2, T2^2 * T1 * T2^-2 * T1^-1, T1^6, T1^-1 * T2^-5 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 52, 24, 48, 21, 47, 40, 17, 5)(2, 7, 22, 49, 39, 16, 33, 11, 32, 54, 26, 8)(4, 12, 31, 59, 38, 15, 29, 9, 28, 56, 37, 14)(6, 19, 43, 64, 53, 25, 51, 23, 50, 68, 46, 20)(13, 27, 55, 69, 61, 36, 58, 34, 57, 70, 60, 35)(18, 41, 62, 71, 67, 45, 66, 44, 65, 72, 63, 42)(73, 74, 78, 90, 85, 76)(75, 81, 99, 116, 91, 83)(77, 87, 107, 117, 92, 88)(79, 93, 84, 106, 113, 95)(80, 96, 86, 108, 114, 97)(82, 94, 115, 134, 127, 103)(89, 98, 118, 135, 132, 109)(100, 119, 104, 122, 137, 129)(101, 120, 105, 123, 138, 130)(102, 128, 141, 144, 136, 126)(110, 124, 111, 125, 139, 133)(112, 131, 142, 143, 140, 121)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1352
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1349 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^6, T1^-1 * T2^-1 * T1^2 * T2 * T1 * T2 * T1^-2 * T2^-1, T2^12, (T2^-1 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 40, 57, 72, 65, 51, 29, 15, 5)(2, 7, 20, 35, 58, 68, 67, 50, 32, 14, 22, 8)(4, 11, 25, 9, 24, 39, 61, 70, 66, 48, 30, 13)(6, 17, 36, 53, 69, 64, 52, 31, 42, 21, 38, 18)(12, 27, 45, 26, 44, 23, 43, 59, 71, 55, 49, 28)(16, 33, 54, 47, 63, 46, 62, 41, 60, 37, 56, 34)(73, 74, 78, 88, 84, 76)(75, 81, 95, 113, 93, 80)(77, 83, 98, 118, 103, 86)(79, 91, 111, 131, 109, 90)(82, 92, 108, 126, 117, 97)(85, 99, 119, 136, 122, 101)(87, 94, 110, 128, 121, 102)(89, 107, 129, 142, 127, 106)(96, 112, 130, 141, 135, 116)(100, 105, 125, 140, 137, 120)(104, 114, 132, 143, 138, 123)(115, 133, 144, 139, 124, 134)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1353
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1350 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-3 * T1^-2 * T2^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^6, T2^-1 * T1^2 * T2 * T1^-2, T1^-1 * T2^3 * T1^-2 * T2 * T1^-1, (T2^-1 * T1^-1)^6 ]
Map:: polytopal 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, 54, 39, 36, 15, 28)(21, 42, 25, 45, 23, 44, 35, 53, 34, 46, 24, 43)(47, 61, 50, 64, 48, 63, 52, 66, 51, 65, 49, 62)(55, 67, 58, 70, 56, 69, 60, 72, 59, 71, 57, 68)(73, 74, 78, 90, 85, 76)(75, 81, 91, 111, 104, 83)(77, 87, 92, 112, 101, 88)(79, 93, 109, 106, 84, 95)(80, 96, 110, 107, 86, 97)(82, 94, 89, 98, 113, 102)(99, 119, 108, 123, 103, 120)(100, 121, 126, 124, 105, 122)(114, 127, 118, 131, 116, 128)(115, 129, 125, 132, 117, 130)(133, 144, 137, 142, 135, 140)(134, 141, 138, 139, 136, 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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1355
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1351 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^6, T2^-1 * T1^2 * T2 * T1^-2, T2^-3 * T1^-2 * T2^-1 * T1^-2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 20, 6, 19, 40, 33, 13, 30, 17, 5)(2, 7, 22, 38, 18, 37, 35, 14, 4, 12, 26, 8)(9, 27, 41, 54, 39, 36, 16, 31, 11, 29, 15, 28)(21, 42, 34, 53, 32, 46, 25, 45, 23, 44, 24, 43)(47, 61, 52, 66, 51, 65, 50, 64, 48, 63, 49, 62)(55, 67, 60, 72, 59, 71, 58, 70, 56, 69, 57, 68)(73, 74, 78, 90, 85, 76)(75, 81, 91, 111, 102, 83)(77, 87, 92, 113, 105, 88)(79, 93, 109, 104, 84, 95)(80, 96, 110, 106, 86, 97)(82, 94, 112, 107, 89, 98)(99, 119, 108, 123, 101, 120)(100, 121, 126, 124, 103, 122)(114, 127, 118, 131, 116, 128)(115, 129, 125, 132, 117, 130)(133, 142, 137, 140, 135, 144)(134, 143, 138, 141, 136, 139)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1354
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1352 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|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, T2^6, T1^6, T2^-2 * T1^-1 * T2^-2 * T1 * T2^-2, T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 48, 120, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 58, 130, 37, 109, 14, 86)(6, 78, 19, 91, 42, 114, 63, 135, 45, 117, 20, 92)(9, 81, 28, 100, 54, 126, 38, 110, 15, 87, 29, 101)(11, 83, 32, 104, 57, 129, 39, 111, 16, 88, 33, 105)(13, 85, 27, 99, 53, 125, 69, 141, 59, 131, 35, 107)(18, 90, 40, 112, 61, 133, 71, 143, 62, 134, 41, 113)(21, 93, 46, 118, 67, 139, 51, 123, 24, 96, 47, 119)(23, 95, 49, 121, 68, 140, 52, 124, 25, 97, 50, 122)(34, 106, 55, 127, 70, 142, 60, 132, 36, 108, 56, 128)(43, 115, 64, 136, 72, 144, 66, 138, 44, 116, 65, 137)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 106)(13, 76)(14, 108)(15, 107)(16, 77)(17, 98)(18, 85)(19, 83)(20, 88)(21, 84)(22, 114)(23, 79)(24, 86)(25, 80)(26, 117)(27, 115)(28, 118)(29, 119)(30, 126)(31, 82)(32, 121)(33, 122)(34, 112)(35, 116)(36, 113)(37, 89)(38, 123)(39, 124)(40, 95)(41, 97)(42, 133)(43, 91)(44, 92)(45, 134)(46, 104)(47, 105)(48, 139)(49, 136)(50, 137)(51, 111)(52, 138)(53, 103)(54, 141)(55, 100)(56, 101)(57, 102)(58, 142)(59, 109)(60, 110)(61, 125)(62, 131)(63, 129)(64, 127)(65, 128)(66, 132)(67, 130)(68, 120)(69, 144)(70, 143)(71, 140)(72, 135)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1348
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1353 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1^-1, (T1^-1 * T2^-1 * T1^-1)^2, T2^6, T1^6, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-2, (T2^-1 * T1)^4, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T1 * T2 * T1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 52, 124, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 56, 128, 39, 111, 14, 86)(6, 78, 19, 91, 45, 117, 33, 105, 49, 121, 20, 92)(9, 81, 28, 100, 61, 133, 41, 113, 15, 87, 29, 101)(11, 83, 32, 104, 47, 119, 42, 114, 16, 88, 34, 106)(13, 85, 37, 109, 64, 136, 40, 112, 60, 132, 27, 99)(18, 90, 43, 115, 66, 138, 54, 126, 69, 141, 44, 116)(21, 93, 50, 122, 36, 108, 57, 129, 24, 96, 51, 123)(23, 95, 53, 125, 68, 140, 58, 130, 25, 97, 55, 127)(35, 107, 62, 134, 67, 139, 65, 137, 38, 110, 63, 135)(46, 118, 70, 142, 59, 131, 72, 144, 48, 120, 71, 143)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 107)(13, 76)(14, 110)(15, 112)(16, 77)(17, 98)(18, 85)(19, 88)(20, 119)(21, 86)(22, 117)(23, 79)(24, 128)(25, 80)(26, 121)(27, 131)(28, 122)(29, 123)(30, 133)(31, 82)(32, 125)(33, 83)(34, 127)(35, 116)(36, 84)(37, 120)(38, 126)(39, 89)(40, 118)(41, 129)(42, 130)(43, 97)(44, 140)(45, 138)(46, 91)(47, 102)(48, 92)(49, 141)(50, 106)(51, 114)(52, 108)(53, 142)(54, 95)(55, 143)(56, 139)(57, 104)(58, 144)(59, 105)(60, 111)(61, 109)(62, 100)(63, 101)(64, 103)(65, 113)(66, 136)(67, 115)(68, 124)(69, 132)(70, 137)(71, 134)(72, 135)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1349
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1354 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T2^6, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, T1^6, (T2^-1 * T1 * T2^-1 * T1^-1)^2, (T2 * T1^-3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 48, 120, 26, 98, 8, 80)(4, 76, 12, 84, 34, 106, 56, 128, 30, 102, 14, 86)(6, 78, 19, 91, 43, 115, 65, 137, 45, 117, 20, 92)(9, 81, 27, 99, 15, 87, 38, 110, 53, 125, 28, 100)(11, 83, 31, 103, 16, 88, 39, 111, 54, 126, 33, 105)(13, 85, 32, 104, 55, 127, 69, 141, 59, 131, 36, 108)(18, 90, 40, 112, 61, 133, 71, 143, 62, 134, 41, 113)(21, 93, 46, 118, 24, 96, 51, 123, 67, 139, 47, 119)(23, 95, 49, 121, 25, 97, 52, 124, 68, 140, 50, 122)(35, 107, 57, 129, 37, 109, 58, 130, 70, 142, 60, 132)(42, 114, 63, 135, 44, 116, 66, 138, 72, 144, 64, 136)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 98)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 94)(18, 85)(19, 114)(20, 116)(21, 112)(22, 117)(23, 79)(24, 113)(25, 80)(26, 115)(27, 118)(28, 123)(29, 125)(30, 82)(31, 121)(32, 83)(33, 124)(34, 89)(35, 84)(36, 88)(37, 86)(38, 119)(39, 122)(40, 107)(41, 109)(42, 104)(43, 134)(44, 108)(45, 133)(46, 135)(47, 138)(48, 139)(49, 99)(50, 110)(51, 136)(52, 100)(53, 137)(54, 101)(55, 102)(56, 140)(57, 103)(58, 105)(59, 106)(60, 111)(61, 131)(62, 127)(63, 129)(64, 130)(65, 144)(66, 132)(67, 143)(68, 120)(69, 126)(70, 128)(71, 142)(72, 141)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1351
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1355 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1^6, T2^6, (T1^-1 * T2^-2)^2, (T2 * T1^-1)^4, T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-2 * T2^3 * T1^2 * T2^2 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 51, 123, 26, 98, 8, 80)(4, 76, 12, 84, 35, 107, 60, 132, 29, 101, 14, 86)(6, 78, 19, 91, 46, 118, 67, 139, 48, 120, 20, 92)(9, 81, 27, 99, 16, 88, 41, 113, 59, 131, 28, 100)(11, 83, 32, 104, 47, 119, 68, 140, 61, 133, 34, 106)(13, 85, 33, 105, 58, 130, 72, 144, 52, 124, 37, 109)(15, 87, 39, 111, 62, 134, 66, 138, 45, 117, 40, 112)(18, 90, 43, 115, 42, 114, 63, 135, 31, 103, 44, 116)(21, 93, 49, 121, 25, 97, 57, 129, 69, 141, 50, 122)(23, 95, 53, 125, 38, 110, 64, 136, 70, 142, 54, 126)(24, 96, 55, 127, 71, 143, 65, 137, 36, 108, 56, 128)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 101)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 114)(18, 85)(19, 117)(20, 119)(21, 115)(22, 89)(23, 79)(24, 116)(25, 80)(26, 130)(27, 121)(28, 127)(29, 118)(30, 133)(31, 82)(32, 125)(33, 83)(34, 129)(35, 124)(36, 84)(37, 88)(38, 86)(39, 122)(40, 128)(41, 126)(42, 120)(43, 108)(44, 110)(45, 105)(46, 98)(47, 109)(48, 107)(49, 112)(50, 140)(51, 142)(52, 94)(53, 99)(54, 111)(55, 138)(56, 104)(57, 100)(58, 103)(59, 144)(60, 143)(61, 139)(62, 102)(63, 141)(64, 106)(65, 113)(66, 136)(67, 131)(68, 137)(69, 132)(70, 135)(71, 123)(72, 134)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1350
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1356 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2 * T1^2, T2^2 * T1 * T2^-2 * T1^-1, T1^6, T1^-1 * T2^-5 * T1^-1 * T2^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 30, 102, 52, 124, 24, 96, 48, 120, 21, 93, 47, 119, 40, 112, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 49, 121, 39, 111, 16, 88, 33, 105, 11, 83, 32, 104, 54, 126, 26, 98, 8, 80)(4, 76, 12, 84, 31, 103, 59, 131, 38, 110, 15, 87, 29, 101, 9, 81, 28, 100, 56, 128, 37, 109, 14, 86)(6, 78, 19, 91, 43, 115, 64, 136, 53, 125, 25, 97, 51, 123, 23, 95, 50, 122, 68, 140, 46, 118, 20, 92)(13, 85, 27, 99, 55, 127, 69, 141, 61, 133, 36, 108, 58, 130, 34, 106, 57, 129, 70, 142, 60, 132, 35, 107)(18, 90, 41, 113, 62, 134, 71, 143, 67, 139, 45, 117, 66, 138, 44, 116, 65, 137, 72, 144, 63, 135, 42, 114)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 94)(11, 75)(12, 106)(13, 76)(14, 108)(15, 107)(16, 77)(17, 98)(18, 85)(19, 83)(20, 88)(21, 84)(22, 115)(23, 79)(24, 86)(25, 80)(26, 118)(27, 116)(28, 119)(29, 120)(30, 128)(31, 82)(32, 122)(33, 123)(34, 113)(35, 117)(36, 114)(37, 89)(38, 124)(39, 125)(40, 131)(41, 95)(42, 97)(43, 134)(44, 91)(45, 92)(46, 135)(47, 104)(48, 105)(49, 112)(50, 137)(51, 138)(52, 111)(53, 139)(54, 102)(55, 103)(56, 141)(57, 100)(58, 101)(59, 142)(60, 109)(61, 110)(62, 127)(63, 132)(64, 126)(65, 129)(66, 130)(67, 133)(68, 121)(69, 144)(70, 143)(71, 140)(72, 136)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1346
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1357 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1^-1)^2, (T1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1^6, T1^-1 * T2^-1 * T1^2 * T2 * T1 * T2 * T1^-2 * T2^-1, T2^12, (T2^-1 * T1^-1)^6 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 19, 91, 40, 112, 57, 129, 72, 144, 65, 137, 51, 123, 29, 101, 15, 87, 5, 77)(2, 74, 7, 79, 20, 92, 35, 107, 58, 130, 68, 140, 67, 139, 50, 122, 32, 104, 14, 86, 22, 94, 8, 80)(4, 76, 11, 83, 25, 97, 9, 81, 24, 96, 39, 111, 61, 133, 70, 142, 66, 138, 48, 120, 30, 102, 13, 85)(6, 78, 17, 89, 36, 108, 53, 125, 69, 141, 64, 136, 52, 124, 31, 103, 42, 114, 21, 93, 38, 110, 18, 90)(12, 84, 27, 99, 45, 117, 26, 98, 44, 116, 23, 95, 43, 115, 59, 131, 71, 143, 55, 127, 49, 121, 28, 100)(16, 88, 33, 105, 54, 126, 47, 119, 63, 135, 46, 118, 62, 134, 41, 113, 60, 132, 37, 109, 56, 128, 34, 106)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 83)(6, 88)(7, 91)(8, 75)(9, 95)(10, 92)(11, 98)(12, 76)(13, 99)(14, 77)(15, 94)(16, 84)(17, 107)(18, 79)(19, 111)(20, 108)(21, 80)(22, 110)(23, 113)(24, 112)(25, 82)(26, 118)(27, 119)(28, 105)(29, 85)(30, 87)(31, 86)(32, 114)(33, 125)(34, 89)(35, 129)(36, 126)(37, 90)(38, 128)(39, 131)(40, 130)(41, 93)(42, 132)(43, 133)(44, 96)(45, 97)(46, 103)(47, 136)(48, 100)(49, 102)(50, 101)(51, 104)(52, 134)(53, 140)(54, 117)(55, 106)(56, 121)(57, 142)(58, 141)(59, 109)(60, 143)(61, 144)(62, 115)(63, 116)(64, 122)(65, 120)(66, 123)(67, 124)(68, 137)(69, 135)(70, 127)(71, 138)(72, 139)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1347
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y1^6, Y2^6, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 42, 114, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 44, 116, 36, 108, 16, 88)(7, 79, 21, 93, 40, 112, 35, 107, 12, 84, 23, 95)(8, 80, 24, 96, 41, 113, 37, 109, 14, 86, 25, 97)(10, 82, 26, 98, 43, 115, 62, 134, 55, 127, 30, 102)(17, 89, 22, 94, 45, 117, 61, 133, 59, 131, 34, 106)(27, 99, 46, 118, 63, 135, 57, 129, 31, 103, 49, 121)(28, 100, 51, 123, 64, 136, 58, 130, 33, 105, 52, 124)(29, 101, 53, 125, 65, 137, 72, 144, 69, 141, 54, 126)(38, 110, 47, 119, 66, 138, 60, 132, 39, 111, 50, 122)(48, 120, 67, 139, 71, 143, 70, 142, 56, 128, 68, 140)(145, 217, 147, 219, 154, 226, 173, 245, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 192, 264, 170, 242, 152, 224)(148, 220, 156, 228, 178, 250, 200, 272, 174, 246, 158, 230)(150, 222, 163, 235, 187, 259, 209, 281, 189, 261, 164, 236)(153, 225, 171, 243, 159, 231, 182, 254, 197, 269, 172, 244)(155, 227, 175, 247, 160, 232, 183, 255, 198, 270, 177, 249)(157, 229, 176, 248, 199, 271, 213, 285, 203, 275, 180, 252)(162, 234, 184, 256, 205, 277, 215, 287, 206, 278, 185, 257)(165, 237, 190, 262, 168, 240, 195, 267, 211, 283, 191, 263)(167, 239, 193, 265, 169, 241, 196, 268, 212, 284, 194, 266)(179, 251, 201, 273, 181, 253, 202, 274, 214, 286, 204, 276)(186, 258, 207, 279, 188, 260, 210, 282, 216, 288, 208, 280)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 174)(11, 176)(12, 179)(13, 162)(14, 181)(15, 149)(16, 180)(17, 178)(18, 150)(19, 153)(20, 159)(21, 151)(22, 161)(23, 156)(24, 152)(25, 158)(26, 154)(27, 193)(28, 196)(29, 198)(30, 199)(31, 201)(32, 186)(33, 202)(34, 203)(35, 184)(36, 188)(37, 185)(38, 194)(39, 204)(40, 165)(41, 168)(42, 163)(43, 170)(44, 164)(45, 166)(46, 171)(47, 182)(48, 212)(49, 175)(50, 183)(51, 172)(52, 177)(53, 173)(54, 213)(55, 206)(56, 214)(57, 207)(58, 208)(59, 205)(60, 210)(61, 189)(62, 187)(63, 190)(64, 195)(65, 197)(66, 191)(67, 192)(68, 200)(69, 216)(70, 215)(71, 211)(72, 209)(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, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1368
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-2, Y1^6, Y3 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2 * Y3 * Y2^2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3^-2 * Y2^2, Y2 * Y3^-1 * Y2^-2 * Y1 * Y3^-1 * Y2^-2 * Y3 * Y2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 45, 117, 33, 105, 11, 83)(5, 77, 15, 87, 20, 92, 47, 119, 37, 109, 16, 88)(7, 79, 21, 93, 43, 115, 36, 108, 12, 84, 23, 95)(8, 80, 24, 96, 44, 116, 38, 110, 14, 86, 25, 97)(10, 82, 29, 101, 46, 118, 26, 98, 58, 130, 31, 103)(17, 89, 42, 114, 48, 120, 35, 107, 52, 124, 22, 94)(27, 99, 49, 121, 40, 112, 56, 128, 32, 104, 53, 125)(28, 100, 55, 127, 66, 138, 64, 136, 34, 106, 57, 129)(30, 102, 61, 133, 67, 139, 59, 131, 72, 144, 62, 134)(39, 111, 50, 122, 68, 140, 65, 137, 41, 113, 54, 126)(51, 123, 70, 142, 63, 135, 69, 141, 60, 132, 71, 143)(145, 217, 147, 219, 154, 226, 174, 246, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 195, 267, 170, 242, 152, 224)(148, 220, 156, 228, 179, 251, 204, 276, 173, 245, 158, 230)(150, 222, 163, 235, 190, 262, 211, 283, 192, 264, 164, 236)(153, 225, 171, 243, 160, 232, 185, 257, 203, 275, 172, 244)(155, 227, 176, 248, 191, 263, 212, 284, 205, 277, 178, 250)(157, 229, 177, 249, 202, 274, 216, 288, 196, 268, 181, 253)(159, 231, 183, 255, 206, 278, 210, 282, 189, 261, 184, 256)(162, 234, 187, 259, 186, 258, 207, 279, 175, 247, 188, 260)(165, 237, 193, 265, 169, 241, 201, 273, 213, 285, 194, 266)(167, 239, 197, 269, 182, 254, 208, 280, 214, 286, 198, 270)(168, 240, 199, 271, 215, 287, 209, 281, 180, 252, 200, 272)
	L = (1, 148)(2, 145)(3, 155)(4, 157)(5, 160)(6, 146)(7, 167)(8, 169)(9, 147)(10, 175)(11, 177)(12, 180)(13, 162)(14, 182)(15, 149)(16, 181)(17, 166)(18, 150)(19, 153)(20, 159)(21, 151)(22, 196)(23, 156)(24, 152)(25, 158)(26, 190)(27, 197)(28, 201)(29, 154)(30, 206)(31, 202)(32, 200)(33, 189)(34, 208)(35, 192)(36, 187)(37, 191)(38, 188)(39, 198)(40, 193)(41, 209)(42, 161)(43, 165)(44, 168)(45, 163)(46, 173)(47, 164)(48, 186)(49, 171)(50, 183)(51, 215)(52, 179)(53, 176)(54, 185)(55, 172)(56, 184)(57, 178)(58, 170)(59, 211)(60, 213)(61, 174)(62, 216)(63, 214)(64, 210)(65, 212)(66, 199)(67, 205)(68, 194)(69, 207)(70, 195)(71, 204)(72, 203)(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, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1369
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-4 * Y1^-1, Y1^6, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, (Y2^-1 * Y1^-1 * Y2^-1)^2, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 39, 111, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 40, 112, 29, 101, 16, 88)(7, 79, 21, 93, 37, 109, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 38, 110, 35, 107, 14, 86, 25, 97)(10, 82, 22, 94, 17, 89, 26, 98, 41, 113, 30, 102)(27, 99, 47, 119, 36, 108, 51, 123, 31, 103, 48, 120)(28, 100, 49, 121, 54, 126, 52, 124, 33, 105, 50, 122)(42, 114, 55, 127, 46, 118, 59, 131, 44, 116, 56, 128)(43, 115, 57, 129, 53, 125, 60, 132, 45, 117, 58, 130)(61, 133, 72, 144, 65, 137, 70, 142, 63, 135, 68, 140)(62, 134, 69, 141, 66, 138, 67, 139, 64, 136, 71, 143)(145, 217, 147, 219, 154, 226, 173, 245, 157, 229, 176, 248, 185, 257, 164, 236, 150, 222, 163, 235, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 158, 230, 148, 220, 156, 228, 174, 246, 182, 254, 162, 234, 181, 253, 170, 242, 152, 224)(153, 225, 171, 243, 160, 232, 177, 249, 155, 227, 175, 247, 184, 256, 198, 270, 183, 255, 180, 252, 159, 231, 172, 244)(165, 237, 186, 258, 169, 241, 189, 261, 167, 239, 188, 260, 179, 251, 197, 269, 178, 250, 190, 262, 168, 240, 187, 259)(191, 263, 205, 277, 194, 266, 208, 280, 192, 264, 207, 279, 196, 268, 210, 282, 195, 267, 209, 281, 193, 265, 206, 278)(199, 271, 211, 283, 202, 274, 214, 286, 200, 272, 213, 285, 204, 276, 216, 288, 203, 275, 215, 287, 201, 273, 212, 284)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 181)(19, 161)(20, 150)(21, 186)(22, 158)(23, 188)(24, 187)(25, 189)(26, 152)(27, 160)(28, 153)(29, 157)(30, 182)(31, 184)(32, 185)(33, 155)(34, 190)(35, 197)(36, 159)(37, 170)(38, 162)(39, 180)(40, 198)(41, 164)(42, 169)(43, 165)(44, 179)(45, 167)(46, 168)(47, 205)(48, 207)(49, 206)(50, 208)(51, 209)(52, 210)(53, 178)(54, 183)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 194)(62, 191)(63, 196)(64, 192)(65, 193)(66, 195)(67, 202)(68, 199)(69, 204)(70, 200)(71, 201)(72, 203)(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, 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 E22.1365
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1^-2, Y1^6, Y1^-2 * Y2 * Y1^2 * Y2^-1, (Y2^2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 39, 111, 30, 102, 11, 83)(5, 77, 15, 87, 20, 92, 41, 113, 33, 105, 16, 88)(7, 79, 21, 93, 37, 109, 32, 104, 12, 84, 23, 95)(8, 80, 24, 96, 38, 110, 34, 106, 14, 86, 25, 97)(10, 82, 22, 94, 40, 112, 35, 107, 17, 89, 26, 98)(27, 99, 47, 119, 36, 108, 51, 123, 29, 101, 48, 120)(28, 100, 49, 121, 54, 126, 52, 124, 31, 103, 50, 122)(42, 114, 55, 127, 46, 118, 59, 131, 44, 116, 56, 128)(43, 115, 57, 129, 53, 125, 60, 132, 45, 117, 58, 130)(61, 133, 70, 142, 65, 137, 68, 140, 63, 135, 72, 144)(62, 134, 71, 143, 66, 138, 69, 141, 64, 136, 67, 139)(145, 217, 147, 219, 154, 226, 164, 236, 150, 222, 163, 235, 184, 256, 177, 249, 157, 229, 174, 246, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 182, 254, 162, 234, 181, 253, 179, 251, 158, 230, 148, 220, 156, 228, 170, 242, 152, 224)(153, 225, 171, 243, 185, 257, 198, 270, 183, 255, 180, 252, 160, 232, 175, 247, 155, 227, 173, 245, 159, 231, 172, 244)(165, 237, 186, 258, 178, 250, 197, 269, 176, 248, 190, 262, 169, 241, 189, 261, 167, 239, 188, 260, 168, 240, 187, 259)(191, 263, 205, 277, 196, 268, 210, 282, 195, 267, 209, 281, 194, 266, 208, 280, 192, 264, 207, 279, 193, 265, 206, 278)(199, 271, 211, 283, 204, 276, 216, 288, 203, 275, 215, 287, 202, 274, 214, 286, 200, 272, 213, 285, 201, 273, 212, 284)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 164)(11, 173)(12, 170)(13, 174)(14, 148)(15, 172)(16, 175)(17, 149)(18, 181)(19, 184)(20, 150)(21, 186)(22, 182)(23, 188)(24, 187)(25, 189)(26, 152)(27, 185)(28, 153)(29, 159)(30, 161)(31, 155)(32, 190)(33, 157)(34, 197)(35, 158)(36, 160)(37, 179)(38, 162)(39, 180)(40, 177)(41, 198)(42, 178)(43, 165)(44, 168)(45, 167)(46, 169)(47, 205)(48, 207)(49, 206)(50, 208)(51, 209)(52, 210)(53, 176)(54, 183)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 196)(62, 191)(63, 193)(64, 192)(65, 194)(66, 195)(67, 204)(68, 199)(69, 201)(70, 200)(71, 202)(72, 203)(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, 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 E22.1364
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1362 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^2 * Y2 * Y1^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^6, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2^5 * Y1 * Y2, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 44, 116, 19, 91, 11, 83)(5, 77, 15, 87, 35, 107, 45, 117, 20, 92, 16, 88)(7, 79, 21, 93, 12, 84, 34, 106, 41, 113, 23, 95)(8, 80, 24, 96, 14, 86, 36, 108, 42, 114, 25, 97)(10, 82, 22, 94, 43, 115, 62, 134, 55, 127, 31, 103)(17, 89, 26, 98, 46, 118, 63, 135, 60, 132, 37, 109)(28, 100, 47, 119, 32, 104, 50, 122, 65, 137, 57, 129)(29, 101, 48, 120, 33, 105, 51, 123, 66, 138, 58, 130)(30, 102, 56, 128, 69, 141, 72, 144, 64, 136, 54, 126)(38, 110, 52, 124, 39, 111, 53, 125, 67, 139, 61, 133)(40, 112, 59, 131, 70, 142, 71, 143, 68, 140, 49, 121)(145, 217, 147, 219, 154, 226, 174, 246, 196, 268, 168, 240, 192, 264, 165, 237, 191, 263, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 183, 255, 160, 232, 177, 249, 155, 227, 176, 248, 198, 270, 170, 242, 152, 224)(148, 220, 156, 228, 175, 247, 203, 275, 182, 254, 159, 231, 173, 245, 153, 225, 172, 244, 200, 272, 181, 253, 158, 230)(150, 222, 163, 235, 187, 259, 208, 280, 197, 269, 169, 241, 195, 267, 167, 239, 194, 266, 212, 284, 190, 262, 164, 236)(157, 229, 171, 243, 199, 271, 213, 285, 205, 277, 180, 252, 202, 274, 178, 250, 201, 273, 214, 286, 204, 276, 179, 251)(162, 234, 185, 257, 206, 278, 215, 287, 211, 283, 189, 261, 210, 282, 188, 260, 209, 281, 216, 288, 207, 279, 186, 258)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 171)(14, 148)(15, 173)(16, 177)(17, 149)(18, 185)(19, 187)(20, 150)(21, 191)(22, 193)(23, 194)(24, 192)(25, 195)(26, 152)(27, 199)(28, 200)(29, 153)(30, 196)(31, 203)(32, 198)(33, 155)(34, 201)(35, 157)(36, 202)(37, 158)(38, 159)(39, 160)(40, 161)(41, 206)(42, 162)(43, 208)(44, 209)(45, 210)(46, 164)(47, 184)(48, 165)(49, 183)(50, 212)(51, 167)(52, 168)(53, 169)(54, 170)(55, 213)(56, 181)(57, 214)(58, 178)(59, 182)(60, 179)(61, 180)(62, 215)(63, 186)(64, 197)(65, 216)(66, 188)(67, 189)(68, 190)(69, 205)(70, 204)(71, 211)(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) :: { ( 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 E22.1366
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1363 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1^-1)^2, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y1^6, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1 * Y2 * Y1^-2 * Y2^-1, (Y3^-1 * Y1^-1)^6, Y2^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 12, 84, 4, 76)(3, 75, 9, 81, 23, 95, 41, 113, 21, 93, 8, 80)(5, 77, 11, 83, 26, 98, 46, 118, 31, 103, 14, 86)(7, 79, 19, 91, 39, 111, 59, 131, 37, 109, 18, 90)(10, 82, 20, 92, 36, 108, 54, 126, 45, 117, 25, 97)(13, 85, 27, 99, 47, 119, 64, 136, 50, 122, 29, 101)(15, 87, 22, 94, 38, 110, 56, 128, 49, 121, 30, 102)(17, 89, 35, 107, 57, 129, 70, 142, 55, 127, 34, 106)(24, 96, 40, 112, 58, 130, 69, 141, 63, 135, 44, 116)(28, 100, 33, 105, 53, 125, 68, 140, 65, 137, 48, 120)(32, 104, 42, 114, 60, 132, 71, 143, 66, 138, 51, 123)(43, 115, 61, 133, 72, 144, 67, 139, 52, 124, 62, 134)(145, 217, 147, 219, 154, 226, 163, 235, 184, 256, 201, 273, 216, 288, 209, 281, 195, 267, 173, 245, 159, 231, 149, 221)(146, 218, 151, 223, 164, 236, 179, 251, 202, 274, 212, 284, 211, 283, 194, 266, 176, 248, 158, 230, 166, 238, 152, 224)(148, 220, 155, 227, 169, 241, 153, 225, 168, 240, 183, 255, 205, 277, 214, 286, 210, 282, 192, 264, 174, 246, 157, 229)(150, 222, 161, 233, 180, 252, 197, 269, 213, 285, 208, 280, 196, 268, 175, 247, 186, 258, 165, 237, 182, 254, 162, 234)(156, 228, 171, 243, 189, 261, 170, 242, 188, 260, 167, 239, 187, 259, 203, 275, 215, 287, 199, 271, 193, 265, 172, 244)(160, 232, 177, 249, 198, 270, 191, 263, 207, 279, 190, 262, 206, 278, 185, 257, 204, 276, 181, 253, 200, 272, 178, 250)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 161)(7, 164)(8, 146)(9, 168)(10, 163)(11, 169)(12, 171)(13, 148)(14, 166)(15, 149)(16, 177)(17, 180)(18, 150)(19, 184)(20, 179)(21, 182)(22, 152)(23, 187)(24, 183)(25, 153)(26, 188)(27, 189)(28, 156)(29, 159)(30, 157)(31, 186)(32, 158)(33, 198)(34, 160)(35, 202)(36, 197)(37, 200)(38, 162)(39, 205)(40, 201)(41, 204)(42, 165)(43, 203)(44, 167)(45, 170)(46, 206)(47, 207)(48, 174)(49, 172)(50, 176)(51, 173)(52, 175)(53, 213)(54, 191)(55, 193)(56, 178)(57, 216)(58, 212)(59, 215)(60, 181)(61, 214)(62, 185)(63, 190)(64, 196)(65, 195)(66, 192)(67, 194)(68, 211)(69, 208)(70, 210)(71, 199)(72, 209)(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, 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 E22.1367
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3 * Y2^-2 * Y3^-1, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y2^6, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y3^-3)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 171, 243, 188, 260, 163, 235, 155, 227)(149, 221, 159, 231, 179, 251, 189, 261, 164, 236, 160, 232)(151, 223, 165, 237, 156, 228, 178, 250, 185, 257, 167, 239)(152, 224, 168, 240, 158, 230, 180, 252, 186, 258, 169, 241)(154, 226, 166, 238, 187, 259, 206, 278, 199, 271, 175, 247)(161, 233, 170, 242, 190, 262, 207, 279, 204, 276, 181, 253)(172, 244, 191, 263, 176, 248, 194, 266, 209, 281, 201, 273)(173, 245, 192, 264, 177, 249, 195, 267, 210, 282, 202, 274)(174, 246, 200, 272, 213, 285, 216, 288, 208, 280, 198, 270)(182, 254, 196, 268, 183, 255, 197, 269, 211, 283, 205, 277)(184, 256, 203, 275, 214, 286, 215, 287, 212, 284, 193, 265)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 174)(11, 176)(12, 175)(13, 171)(14, 148)(15, 173)(16, 177)(17, 149)(18, 185)(19, 187)(20, 150)(21, 191)(22, 193)(23, 194)(24, 192)(25, 195)(26, 152)(27, 199)(28, 200)(29, 153)(30, 196)(31, 203)(32, 198)(33, 155)(34, 201)(35, 157)(36, 202)(37, 158)(38, 159)(39, 160)(40, 161)(41, 206)(42, 162)(43, 208)(44, 209)(45, 210)(46, 164)(47, 184)(48, 165)(49, 183)(50, 212)(51, 167)(52, 168)(53, 169)(54, 170)(55, 213)(56, 181)(57, 214)(58, 178)(59, 182)(60, 179)(61, 180)(62, 215)(63, 186)(64, 197)(65, 216)(66, 188)(67, 189)(68, 190)(69, 205)(70, 204)(71, 211)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1361
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-1 * Y3^-1 * Y2^2 * Y3^-2 * Y2^2 * Y3^-1 * Y2^-1, Y3^12, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 160, 232, 157, 229, 148, 220)(147, 219, 153, 225, 167, 239, 187, 259, 172, 244, 155, 227)(149, 221, 158, 230, 175, 247, 184, 256, 164, 236, 151, 223)(152, 224, 165, 237, 185, 257, 202, 274, 180, 252, 161, 233)(154, 226, 163, 235, 179, 251, 197, 269, 193, 265, 170, 242)(156, 228, 173, 245, 195, 267, 211, 283, 191, 263, 169, 241)(159, 231, 166, 238, 182, 254, 200, 272, 188, 260, 168, 240)(162, 234, 181, 253, 203, 275, 213, 285, 198, 270, 177, 249)(171, 243, 183, 255, 201, 273, 212, 284, 209, 281, 190, 262)(174, 246, 178, 250, 199, 271, 214, 286, 208, 280, 192, 264)(176, 248, 186, 258, 204, 276, 215, 287, 207, 279, 189, 261)(194, 266, 205, 277, 196, 268, 206, 278, 216, 288, 210, 282)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 163)(8, 146)(9, 148)(10, 169)(11, 171)(12, 170)(13, 174)(14, 168)(15, 149)(16, 177)(17, 179)(18, 150)(19, 155)(20, 183)(21, 159)(22, 152)(23, 188)(24, 153)(25, 190)(26, 192)(27, 191)(28, 194)(29, 157)(30, 193)(31, 189)(32, 158)(33, 197)(34, 160)(35, 164)(36, 201)(37, 166)(38, 162)(39, 172)(40, 205)(41, 176)(42, 165)(43, 207)(44, 173)(45, 167)(46, 208)(47, 210)(48, 209)(49, 198)(50, 211)(51, 200)(52, 175)(53, 180)(54, 212)(55, 182)(56, 178)(57, 184)(58, 196)(59, 186)(60, 181)(61, 187)(62, 185)(63, 195)(64, 216)(65, 213)(66, 214)(67, 215)(68, 202)(69, 206)(70, 204)(71, 199)(72, 203)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1360
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2^-1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2^6, Y3^-1 * Y2^3 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^12 ]
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, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 183, 255, 176, 248, 155, 227)(149, 221, 159, 231, 164, 236, 184, 256, 173, 245, 160, 232)(151, 223, 165, 237, 181, 253, 178, 250, 156, 228, 167, 239)(152, 224, 168, 240, 182, 254, 179, 251, 158, 230, 169, 241)(154, 226, 166, 238, 161, 233, 170, 242, 185, 257, 174, 246)(171, 243, 191, 263, 180, 252, 195, 267, 175, 247, 192, 264)(172, 244, 193, 265, 198, 270, 196, 268, 177, 249, 194, 266)(186, 258, 199, 271, 190, 262, 203, 275, 188, 260, 200, 272)(187, 259, 201, 273, 197, 269, 204, 276, 189, 261, 202, 274)(205, 277, 216, 288, 209, 281, 214, 286, 207, 279, 212, 284)(206, 278, 213, 285, 210, 282, 211, 283, 208, 280, 215, 287)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 181)(19, 161)(20, 150)(21, 186)(22, 158)(23, 188)(24, 187)(25, 189)(26, 152)(27, 160)(28, 153)(29, 157)(30, 182)(31, 184)(32, 185)(33, 155)(34, 190)(35, 197)(36, 159)(37, 170)(38, 162)(39, 180)(40, 198)(41, 164)(42, 169)(43, 165)(44, 179)(45, 167)(46, 168)(47, 205)(48, 207)(49, 206)(50, 208)(51, 209)(52, 210)(53, 178)(54, 183)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 194)(62, 191)(63, 196)(64, 192)(65, 193)(66, 195)(67, 202)(68, 199)(69, 204)(70, 200)(71, 201)(72, 203)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1362
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^4 * Y2^-2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y2^6, (Y3^2 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2^-3 * Y3^-1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^12 ]
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, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 183, 255, 174, 246, 155, 227)(149, 221, 159, 231, 164, 236, 185, 257, 177, 249, 160, 232)(151, 223, 165, 237, 181, 253, 176, 248, 156, 228, 167, 239)(152, 224, 168, 240, 182, 254, 178, 250, 158, 230, 169, 241)(154, 226, 166, 238, 184, 256, 179, 251, 161, 233, 170, 242)(171, 243, 191, 263, 180, 252, 195, 267, 173, 245, 192, 264)(172, 244, 193, 265, 198, 270, 196, 268, 175, 247, 194, 266)(186, 258, 199, 271, 190, 262, 203, 275, 188, 260, 200, 272)(187, 259, 201, 273, 197, 269, 204, 276, 189, 261, 202, 274)(205, 277, 214, 286, 209, 281, 212, 284, 207, 279, 216, 288)(206, 278, 215, 287, 210, 282, 213, 285, 208, 280, 211, 283)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 164)(11, 173)(12, 170)(13, 174)(14, 148)(15, 172)(16, 175)(17, 149)(18, 181)(19, 184)(20, 150)(21, 186)(22, 182)(23, 188)(24, 187)(25, 189)(26, 152)(27, 185)(28, 153)(29, 159)(30, 161)(31, 155)(32, 190)(33, 157)(34, 197)(35, 158)(36, 160)(37, 179)(38, 162)(39, 180)(40, 177)(41, 198)(42, 178)(43, 165)(44, 168)(45, 167)(46, 169)(47, 205)(48, 207)(49, 206)(50, 208)(51, 209)(52, 210)(53, 176)(54, 183)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 196)(62, 191)(63, 193)(64, 192)(65, 194)(66, 195)(67, 204)(68, 199)(69, 201)(70, 200)(71, 202)(72, 203)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1363
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-1 * Y3^2 * Y1 * Y3, Y3^-1 * Y1^-1 * Y3^-2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3^6, Y1^2 * Y3 * Y1 * Y3 * Y1^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 41, 113, 31, 103, 51, 123, 27, 99, 48, 120, 36, 108, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 44, 116, 38, 110, 14, 86, 25, 97, 8, 80, 24, 96, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 46, 118, 35, 107, 12, 84, 23, 95, 7, 79, 21, 93, 42, 114, 37, 109, 16, 88)(10, 82, 26, 98, 45, 117, 63, 135, 59, 131, 33, 105, 54, 126, 28, 100, 53, 125, 64, 136, 57, 129, 30, 102)(17, 89, 22, 94, 47, 119, 62, 134, 61, 133, 40, 112, 52, 124, 39, 111, 49, 121, 66, 138, 60, 132, 34, 106)(29, 101, 55, 127, 65, 137, 72, 144, 70, 142, 58, 130, 68, 140, 50, 122, 67, 139, 71, 143, 69, 141, 56, 128)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 178)(13, 176)(14, 148)(15, 183)(16, 184)(17, 149)(18, 186)(19, 189)(20, 150)(21, 192)(22, 194)(23, 195)(24, 197)(25, 198)(26, 152)(27, 159)(28, 153)(29, 161)(30, 158)(31, 160)(32, 201)(33, 155)(34, 202)(35, 185)(36, 190)(37, 157)(38, 203)(39, 199)(40, 200)(41, 182)(42, 206)(43, 162)(44, 180)(45, 209)(46, 210)(47, 164)(48, 168)(49, 165)(50, 170)(51, 169)(52, 167)(53, 211)(54, 212)(55, 172)(56, 177)(57, 213)(58, 174)(59, 214)(60, 181)(61, 179)(62, 215)(63, 187)(64, 188)(65, 191)(66, 216)(67, 193)(68, 196)(69, 204)(70, 205)(71, 207)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1358
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x ((C6 x C2) : C2) (small group id <72, 30>)
Aut   = (C2 x S3 x S3) : C2 (small group id <144, 154>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^2 * Y3^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3^6, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^6, Y1^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 33, 105, 53, 125, 68, 140, 64, 136, 47, 119, 27, 99, 12, 84, 4, 76)(3, 75, 9, 81, 17, 89, 35, 107, 54, 126, 70, 142, 66, 138, 48, 120, 29, 101, 13, 85, 21, 93, 8, 80)(5, 77, 11, 83, 18, 90, 7, 79, 19, 91, 34, 106, 55, 127, 69, 141, 65, 137, 49, 121, 28, 100, 14, 86)(10, 82, 24, 96, 36, 108, 57, 129, 71, 143, 67, 139, 51, 123, 30, 102, 42, 114, 22, 94, 41, 113, 23, 95)(15, 87, 31, 103, 37, 109, 26, 98, 38, 110, 20, 92, 39, 111, 56, 128, 72, 144, 63, 135, 50, 122, 32, 104)(25, 97, 45, 117, 58, 130, 52, 124, 59, 131, 46, 118, 60, 132, 40, 112, 61, 133, 43, 115, 62, 134, 44, 116)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 155)(5, 145)(6, 161)(7, 164)(8, 146)(9, 160)(10, 169)(11, 170)(12, 165)(13, 148)(14, 175)(15, 149)(16, 178)(17, 180)(18, 150)(19, 177)(20, 184)(21, 185)(22, 152)(23, 153)(24, 179)(25, 159)(26, 190)(27, 158)(28, 156)(29, 186)(30, 157)(31, 196)(32, 189)(33, 198)(34, 200)(35, 197)(36, 202)(37, 162)(38, 163)(39, 199)(40, 166)(41, 206)(42, 205)(43, 167)(44, 168)(45, 201)(46, 174)(47, 173)(48, 171)(49, 176)(50, 172)(51, 204)(52, 211)(53, 213)(54, 215)(55, 212)(56, 187)(57, 214)(58, 181)(59, 182)(60, 183)(61, 216)(62, 194)(63, 188)(64, 193)(65, 191)(66, 195)(67, 192)(68, 210)(69, 207)(70, 208)(71, 203)(72, 209)(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) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1359
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1370 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 6, 12})
Quotient :: edge
Aut^+ = C3 x C3 x D8 (small group id <72, 37>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2^-1 * T1, T1 * T2^-1 * T1^-2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, T2^-2 * T1^-1 * T2^-1 * T1 * T2^-3, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 53, 25, 51, 23, 50, 40, 17, 5)(2, 7, 22, 49, 38, 15, 28, 9, 27, 54, 26, 8)(4, 12, 30, 56, 39, 16, 33, 11, 31, 55, 37, 14)(6, 19, 44, 66, 52, 24, 48, 21, 47, 68, 46, 20)(13, 32, 57, 69, 61, 36, 59, 34, 58, 70, 60, 35)(18, 41, 62, 71, 67, 45, 65, 43, 64, 72, 63, 42)(73, 74, 78, 90, 85, 76)(75, 81, 91, 115, 104, 83)(77, 87, 92, 117, 107, 88)(79, 93, 113, 106, 84, 95)(80, 96, 114, 108, 86, 97)(82, 94, 116, 134, 129, 102)(89, 98, 118, 135, 132, 109)(99, 119, 136, 130, 103, 122)(100, 120, 137, 131, 105, 123)(101, 126, 138, 144, 141, 127)(110, 124, 139, 133, 111, 125)(112, 121, 140, 143, 142, 128)
	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) :: { ( 12^6 ), ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1371
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 6^12, 12^6 ]

E22.1371 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 6, 12})
Quotient :: loop
Aut^+ = C3 x C3 x D8 (small group id <72, 37>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, T2^2 * T1 * T2^-2 * T1^-1, T2^6, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 48, 120, 26, 98, 8, 80)(4, 76, 12, 84, 30, 102, 55, 127, 37, 109, 14, 86)(6, 78, 19, 91, 43, 115, 65, 137, 45, 117, 20, 92)(9, 81, 27, 99, 53, 125, 38, 110, 15, 87, 28, 100)(11, 83, 31, 103, 54, 126, 39, 111, 16, 88, 33, 105)(13, 85, 32, 104, 56, 128, 69, 141, 59, 131, 35, 107)(18, 90, 40, 112, 61, 133, 71, 143, 62, 134, 41, 113)(21, 93, 46, 118, 67, 139, 51, 123, 24, 96, 47, 119)(23, 95, 49, 121, 68, 140, 52, 124, 25, 97, 50, 122)(34, 106, 57, 129, 70, 142, 60, 132, 36, 108, 58, 130)(42, 114, 63, 135, 72, 144, 66, 138, 44, 116, 64, 136)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 91)(10, 94)(11, 75)(12, 95)(13, 76)(14, 97)(15, 92)(16, 77)(17, 98)(18, 85)(19, 114)(20, 116)(21, 112)(22, 115)(23, 79)(24, 113)(25, 80)(26, 117)(27, 118)(28, 119)(29, 125)(30, 82)(31, 121)(32, 83)(33, 122)(34, 84)(35, 88)(36, 86)(37, 89)(38, 123)(39, 124)(40, 106)(41, 108)(42, 104)(43, 133)(44, 107)(45, 134)(46, 135)(47, 136)(48, 139)(49, 99)(50, 100)(51, 138)(52, 110)(53, 137)(54, 101)(55, 140)(56, 102)(57, 103)(58, 105)(59, 109)(60, 111)(61, 128)(62, 131)(63, 129)(64, 130)(65, 144)(66, 132)(67, 143)(68, 120)(69, 126)(70, 127)(71, 142)(72, 141)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1370
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x C3 x D8 (small group id <72, 37>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y1^-2 * Y2 * Y1, Y1^6, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-4, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 43, 115, 32, 104, 11, 83)(5, 77, 15, 87, 20, 92, 45, 117, 35, 107, 16, 88)(7, 79, 21, 93, 41, 113, 34, 106, 12, 84, 23, 95)(8, 80, 24, 96, 42, 114, 36, 108, 14, 86, 25, 97)(10, 82, 22, 94, 44, 116, 62, 134, 57, 129, 30, 102)(17, 89, 26, 98, 46, 118, 63, 135, 60, 132, 37, 109)(27, 99, 47, 119, 64, 136, 58, 130, 31, 103, 50, 122)(28, 100, 48, 120, 65, 137, 59, 131, 33, 105, 51, 123)(29, 101, 54, 126, 66, 138, 72, 144, 69, 141, 55, 127)(38, 110, 52, 124, 67, 139, 61, 133, 39, 111, 53, 125)(40, 112, 49, 121, 68, 140, 71, 143, 70, 142, 56, 128)(145, 217, 147, 219, 154, 226, 173, 245, 197, 269, 169, 241, 195, 267, 167, 239, 194, 266, 184, 256, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 193, 265, 182, 254, 159, 231, 172, 244, 153, 225, 171, 243, 198, 270, 170, 242, 152, 224)(148, 220, 156, 228, 174, 246, 200, 272, 183, 255, 160, 232, 177, 249, 155, 227, 175, 247, 199, 271, 181, 253, 158, 230)(150, 222, 163, 235, 188, 260, 210, 282, 196, 268, 168, 240, 192, 264, 165, 237, 191, 263, 212, 284, 190, 262, 164, 236)(157, 229, 176, 248, 201, 273, 213, 285, 205, 277, 180, 252, 203, 275, 178, 250, 202, 274, 214, 286, 204, 276, 179, 251)(162, 234, 185, 257, 206, 278, 215, 287, 211, 283, 189, 261, 209, 281, 187, 259, 208, 280, 216, 288, 207, 279, 186, 258)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 191)(22, 193)(23, 194)(24, 192)(25, 195)(26, 152)(27, 198)(28, 153)(29, 197)(30, 200)(31, 199)(32, 201)(33, 155)(34, 202)(35, 157)(36, 203)(37, 158)(38, 159)(39, 160)(40, 161)(41, 206)(42, 162)(43, 208)(44, 210)(45, 209)(46, 164)(47, 212)(48, 165)(49, 182)(50, 184)(51, 167)(52, 168)(53, 169)(54, 170)(55, 181)(56, 183)(57, 213)(58, 214)(59, 178)(60, 179)(61, 180)(62, 215)(63, 186)(64, 216)(65, 187)(66, 196)(67, 189)(68, 190)(69, 205)(70, 204)(71, 211)(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) :: { ( 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 E22.1373
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 12^12, 24^6 ]

E22.1373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x C3 x D8 (small group id <72, 37>)
Aut   = D8 x ((C3 x C3) : C2) (small group id <144, 172>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y2^-2 * Y3 * Y2^2 * Y3^-1, Y2^6, Y3^-2 * Y2^-1 * Y3^-1 * Y2 * Y3^-3, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 162, 234, 157, 229, 148, 220)(147, 219, 153, 225, 163, 235, 187, 259, 176, 248, 155, 227)(149, 221, 159, 231, 164, 236, 189, 261, 179, 251, 160, 232)(151, 223, 165, 237, 185, 257, 178, 250, 156, 228, 167, 239)(152, 224, 168, 240, 186, 258, 180, 252, 158, 230, 169, 241)(154, 226, 166, 238, 188, 260, 206, 278, 201, 273, 174, 246)(161, 233, 170, 242, 190, 262, 207, 279, 204, 276, 181, 253)(171, 243, 191, 263, 208, 280, 202, 274, 175, 247, 194, 266)(172, 244, 192, 264, 209, 281, 203, 275, 177, 249, 195, 267)(173, 245, 198, 270, 210, 282, 216, 288, 213, 285, 199, 271)(182, 254, 196, 268, 211, 283, 205, 277, 183, 255, 197, 269)(184, 256, 193, 265, 212, 284, 215, 287, 214, 286, 200, 272)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 173)(11, 175)(12, 174)(13, 176)(14, 148)(15, 172)(16, 177)(17, 149)(18, 185)(19, 188)(20, 150)(21, 191)(22, 193)(23, 194)(24, 192)(25, 195)(26, 152)(27, 198)(28, 153)(29, 197)(30, 200)(31, 199)(32, 201)(33, 155)(34, 202)(35, 157)(36, 203)(37, 158)(38, 159)(39, 160)(40, 161)(41, 206)(42, 162)(43, 208)(44, 210)(45, 209)(46, 164)(47, 212)(48, 165)(49, 182)(50, 184)(51, 167)(52, 168)(53, 169)(54, 170)(55, 181)(56, 183)(57, 213)(58, 214)(59, 178)(60, 179)(61, 180)(62, 215)(63, 186)(64, 216)(65, 187)(66, 196)(67, 189)(68, 190)(69, 205)(70, 204)(71, 211)(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) :: { ( 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1372
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1374 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 12})
Quotient :: edge
Aut^+ = (C3 x C3) : Q8 (small group id <72, 24>)
Aut   = (C12 x S3) : C2 (small group id <144, 141>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1 * T2^2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-3, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 36, 18, 6, 17, 35, 34, 16, 5)(2, 7, 20, 39, 28, 13, 4, 12, 31, 44, 24, 8)(9, 25, 14, 32, 50, 30, 11, 29, 15, 33, 49, 26)(19, 37, 22, 42, 58, 41, 21, 40, 23, 43, 57, 38)(45, 61, 47, 65, 52, 64, 46, 63, 48, 66, 51, 62)(53, 67, 55, 71, 60, 70, 54, 69, 56, 72, 59, 68)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 96, 107, 100)(88, 92, 108, 103)(97, 117, 101, 118)(98, 119, 102, 120)(99, 121, 106, 122)(104, 123, 105, 124)(109, 125, 112, 126)(110, 127, 113, 128)(111, 129, 116, 130)(114, 131, 115, 132)(133, 140, 135, 142)(134, 139, 136, 141)(137, 144, 138, 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) :: { ( 24^4 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1375
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 4^18, 12^6 ]

E22.1375 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 12})
Quotient :: loop
Aut^+ = (C3 x C3) : Q8 (small group id <72, 24>)
Aut   = (C12 x S3) : C2 (small group id <144, 141>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T1 * T2^2 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-3, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 27, 99, 36, 108, 18, 90, 6, 78, 17, 89, 35, 107, 34, 106, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 39, 111, 28, 100, 13, 85, 4, 76, 12, 84, 31, 103, 44, 116, 24, 96, 8, 80)(9, 81, 25, 97, 14, 86, 32, 104, 50, 122, 30, 102, 11, 83, 29, 101, 15, 87, 33, 105, 49, 121, 26, 98)(19, 91, 37, 109, 22, 94, 42, 114, 58, 130, 41, 113, 21, 93, 40, 112, 23, 95, 43, 115, 57, 129, 38, 110)(45, 117, 61, 133, 47, 119, 65, 137, 52, 124, 64, 136, 46, 118, 63, 135, 48, 120, 66, 138, 51, 123, 62, 134)(53, 125, 67, 139, 55, 127, 71, 143, 60, 132, 70, 142, 54, 126, 69, 141, 56, 128, 72, 144, 59, 131, 68, 140)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 96)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 92)(17, 83)(18, 87)(19, 84)(20, 108)(21, 79)(22, 85)(23, 80)(24, 107)(25, 117)(26, 119)(27, 121)(28, 82)(29, 118)(30, 120)(31, 88)(32, 123)(33, 124)(34, 122)(35, 100)(36, 103)(37, 125)(38, 127)(39, 129)(40, 126)(41, 128)(42, 131)(43, 132)(44, 130)(45, 101)(46, 97)(47, 102)(48, 98)(49, 106)(50, 99)(51, 105)(52, 104)(53, 112)(54, 109)(55, 113)(56, 110)(57, 116)(58, 111)(59, 115)(60, 114)(61, 140)(62, 139)(63, 142)(64, 141)(65, 144)(66, 143)(67, 136)(68, 135)(69, 134)(70, 133)(71, 137)(72, 138)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1374
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1376 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = (C3 x C3) : Q8 (small group id <72, 24>)
Aut   = (C12 x S3) : C2 (small group id <144, 141>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^4, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^2 * Y3 * Y2^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y3 * Y2^2 * Y3^-1 * Y2^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y2^6, Y2^-3 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 24, 96, 35, 107, 28, 100)(16, 88, 20, 92, 36, 108, 31, 103)(25, 97, 45, 117, 29, 101, 46, 118)(26, 98, 47, 119, 30, 102, 48, 120)(27, 99, 49, 121, 34, 106, 50, 122)(32, 104, 51, 123, 33, 105, 52, 124)(37, 109, 53, 125, 40, 112, 54, 126)(38, 110, 55, 127, 41, 113, 56, 128)(39, 111, 57, 129, 44, 116, 58, 130)(42, 114, 59, 131, 43, 115, 60, 132)(61, 133, 68, 140, 63, 135, 70, 142)(62, 134, 67, 139, 64, 136, 69, 141)(65, 137, 72, 144, 66, 138, 71, 143)(145, 217, 147, 219, 154, 226, 171, 243, 180, 252, 162, 234, 150, 222, 161, 233, 179, 251, 178, 250, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 183, 255, 172, 244, 157, 229, 148, 220, 156, 228, 175, 247, 188, 260, 168, 240, 152, 224)(153, 225, 169, 241, 158, 230, 176, 248, 194, 266, 174, 246, 155, 227, 173, 245, 159, 231, 177, 249, 193, 265, 170, 242)(163, 235, 181, 253, 166, 238, 186, 258, 202, 274, 185, 257, 165, 237, 184, 256, 167, 239, 187, 259, 201, 273, 182, 254)(189, 261, 205, 277, 191, 263, 209, 281, 196, 268, 208, 280, 190, 262, 207, 279, 192, 264, 210, 282, 195, 267, 206, 278)(197, 269, 211, 283, 199, 271, 215, 287, 204, 276, 214, 286, 198, 270, 213, 285, 200, 272, 216, 288, 203, 275, 212, 284)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 175)(17, 153)(18, 158)(19, 151)(20, 160)(21, 156)(22, 152)(23, 157)(24, 154)(25, 190)(26, 192)(27, 194)(28, 179)(29, 189)(30, 191)(31, 180)(32, 196)(33, 195)(34, 193)(35, 168)(36, 164)(37, 198)(38, 200)(39, 202)(40, 197)(41, 199)(42, 204)(43, 203)(44, 201)(45, 169)(46, 173)(47, 170)(48, 174)(49, 171)(50, 178)(51, 176)(52, 177)(53, 181)(54, 184)(55, 182)(56, 185)(57, 183)(58, 188)(59, 186)(60, 187)(61, 214)(62, 213)(63, 212)(64, 211)(65, 215)(66, 216)(67, 206)(68, 205)(69, 208)(70, 207)(71, 210)(72, 209)(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, 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 E22.1377
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 8^18, 24^6 ]

E22.1377 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = (C3 x C3) : Q8 (small group id <72, 24>)
Aut   = (C12 x S3) : C2 (small group id <144, 141>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, Y3^4, (R * Y3)^2, Y1 * Y3 * Y1^2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^3 * Y3^-2 * Y1^3, (Y3 * Y2^-1)^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 35, 107, 28, 100, 10, 82, 21, 93, 38, 110, 32, 104, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 40, 112, 19, 91, 16, 88, 5, 77, 15, 87, 33, 105, 39, 111, 18, 90, 11, 83)(7, 79, 20, 92, 12, 84, 31, 103, 37, 109, 24, 96, 8, 80, 23, 95, 14, 86, 34, 106, 36, 108, 22, 94)(26, 98, 45, 117, 29, 101, 49, 121, 53, 125, 48, 120, 27, 99, 47, 119, 30, 102, 50, 122, 54, 126, 46, 118)(41, 113, 55, 127, 43, 115, 59, 131, 52, 124, 58, 130, 42, 114, 57, 129, 44, 116, 60, 132, 51, 123, 56, 128)(61, 133, 69, 141, 63, 135, 72, 144, 66, 138, 68, 140, 62, 134, 70, 142, 64, 136, 71, 143, 65, 137, 67, 139)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 173)(12, 172)(13, 169)(14, 148)(15, 171)(16, 174)(17, 180)(18, 182)(19, 150)(20, 185)(21, 152)(22, 187)(23, 186)(24, 188)(25, 179)(26, 159)(27, 153)(28, 158)(29, 160)(30, 155)(31, 195)(32, 181)(33, 157)(34, 196)(35, 177)(36, 176)(37, 161)(38, 163)(39, 197)(40, 198)(41, 167)(42, 164)(43, 168)(44, 166)(45, 205)(46, 207)(47, 206)(48, 208)(49, 209)(50, 210)(51, 178)(52, 175)(53, 184)(54, 183)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 191)(62, 189)(63, 192)(64, 190)(65, 194)(66, 193)(67, 201)(68, 199)(69, 202)(70, 200)(71, 204)(72, 203)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1376
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1378 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^5 * T1^-2 * T2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-3 * T1 * T2^-3 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 42, 18, 6, 17, 41, 40, 16, 5)(2, 7, 20, 46, 33, 13, 4, 12, 32, 56, 24, 8)(9, 25, 57, 38, 64, 31, 11, 30, 63, 39, 58, 26)(14, 34, 62, 29, 61, 37, 15, 36, 60, 27, 59, 35)(19, 43, 65, 54, 72, 49, 21, 48, 71, 55, 66, 44)(22, 50, 70, 47, 69, 53, 23, 52, 68, 45, 67, 51)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 99, 113, 101)(88, 110, 114, 111)(92, 117, 104, 119)(96, 126, 105, 127)(97, 115, 102, 120)(98, 122, 103, 124)(100, 128, 112, 118)(106, 116, 108, 121)(107, 123, 109, 125)(129, 139, 135, 141)(130, 144, 136, 138)(131, 137, 133, 143)(132, 142, 134, 140)
	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) :: { ( 24^4 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1382
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 4^18, 12^6 ]

E22.1379 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1, T2^-3 * T1^2 * T2^-3, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 36, 18, 6, 17, 35, 34, 16, 5)(2, 7, 20, 39, 31, 13, 4, 12, 28, 44, 24, 8)(9, 25, 46, 33, 15, 30, 11, 29, 50, 32, 14, 26)(19, 37, 54, 43, 23, 41, 21, 40, 58, 42, 22, 38)(45, 61, 52, 66, 49, 64, 47, 63, 51, 65, 48, 62)(53, 67, 60, 72, 57, 70, 55, 69, 59, 71, 56, 68)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 92, 107, 100)(88, 96, 108, 103)(97, 117, 101, 119)(98, 120, 102, 121)(99, 118, 106, 122)(104, 123, 105, 124)(109, 125, 112, 127)(110, 128, 113, 129)(111, 126, 116, 130)(114, 131, 115, 132)(133, 141, 135, 139)(134, 142, 136, 140)(137, 144, 138, 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) :: { ( 24^4 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1381
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 4^18, 12^6 ]

E22.1380 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 12, 12})
Quotient :: edge
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1 * T2^-3, T1^-3 * T2 * T1^-3 * T2^-1, T2 * T1^4 * T2 * T1^-2, T1^-3 * T2 * T1 * T2 * T1^-2, (T2^-1 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 3, 10, 24, 55, 21, 54, 39, 66, 34, 17, 5)(2, 7, 22, 50, 69, 47, 43, 16, 32, 11, 26, 8)(4, 12, 30, 15, 29, 9, 28, 58, 71, 53, 40, 14)(6, 19, 48, 42, 65, 31, 60, 25, 57, 23, 52, 20)(13, 35, 64, 38, 63, 33, 44, 41, 62, 27, 61, 37)(18, 45, 67, 59, 72, 56, 36, 51, 70, 49, 68, 46)(73, 74, 78, 90, 116, 100, 126, 115, 132, 108, 85, 76)(75, 81, 99, 123, 92, 122, 111, 86, 110, 117, 103, 83)(77, 87, 113, 128, 95, 79, 93, 125, 107, 118, 114, 88)(80, 96, 130, 109, 121, 91, 119, 106, 84, 105, 131, 97)(82, 94, 120, 139, 134, 143, 138, 104, 129, 142, 136, 102)(89, 98, 124, 140, 135, 101, 127, 141, 137, 144, 133, 112)
	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) :: { ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1383
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1381 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^5 * T1^-2 * T2, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-3 * T1 * T2^-3 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 28, 100, 42, 114, 18, 90, 6, 78, 17, 89, 41, 113, 40, 112, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 46, 118, 33, 105, 13, 85, 4, 76, 12, 84, 32, 104, 56, 128, 24, 96, 8, 80)(9, 81, 25, 97, 57, 129, 38, 110, 64, 136, 31, 103, 11, 83, 30, 102, 63, 135, 39, 111, 58, 130, 26, 98)(14, 86, 34, 106, 62, 134, 29, 101, 61, 133, 37, 109, 15, 87, 36, 108, 60, 132, 27, 99, 59, 131, 35, 107)(19, 91, 43, 115, 65, 137, 54, 126, 72, 144, 49, 121, 21, 93, 48, 120, 71, 143, 55, 127, 66, 138, 44, 116)(22, 94, 50, 122, 70, 142, 47, 119, 69, 141, 53, 125, 23, 95, 52, 124, 68, 140, 45, 117, 67, 139, 51, 123)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 99)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 110)(17, 83)(18, 87)(19, 84)(20, 117)(21, 79)(22, 85)(23, 80)(24, 126)(25, 115)(26, 122)(27, 113)(28, 128)(29, 82)(30, 120)(31, 124)(32, 119)(33, 127)(34, 116)(35, 123)(36, 121)(37, 125)(38, 114)(39, 88)(40, 118)(41, 101)(42, 111)(43, 102)(44, 108)(45, 104)(46, 100)(47, 92)(48, 97)(49, 106)(50, 103)(51, 109)(52, 98)(53, 107)(54, 105)(55, 96)(56, 112)(57, 139)(58, 144)(59, 137)(60, 142)(61, 143)(62, 140)(63, 141)(64, 138)(65, 133)(66, 130)(67, 135)(68, 132)(69, 129)(70, 134)(71, 131)(72, 136)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1379
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1382 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1, T2^-3 * T1^2 * T2^-3, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1)^12 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 27, 99, 36, 108, 18, 90, 6, 78, 17, 89, 35, 107, 34, 106, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 39, 111, 31, 103, 13, 85, 4, 76, 12, 84, 28, 100, 44, 116, 24, 96, 8, 80)(9, 81, 25, 97, 46, 118, 33, 105, 15, 87, 30, 102, 11, 83, 29, 101, 50, 122, 32, 104, 14, 86, 26, 98)(19, 91, 37, 109, 54, 126, 43, 115, 23, 95, 41, 113, 21, 93, 40, 112, 58, 130, 42, 114, 22, 94, 38, 110)(45, 117, 61, 133, 52, 124, 66, 138, 49, 121, 64, 136, 47, 119, 63, 135, 51, 123, 65, 137, 48, 120, 62, 134)(53, 125, 67, 139, 60, 132, 72, 144, 57, 129, 70, 142, 55, 127, 69, 141, 59, 131, 71, 143, 56, 128, 68, 140)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 92)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 96)(17, 83)(18, 87)(19, 84)(20, 107)(21, 79)(22, 85)(23, 80)(24, 108)(25, 117)(26, 120)(27, 118)(28, 82)(29, 119)(30, 121)(31, 88)(32, 123)(33, 124)(34, 122)(35, 100)(36, 103)(37, 125)(38, 128)(39, 126)(40, 127)(41, 129)(42, 131)(43, 132)(44, 130)(45, 101)(46, 106)(47, 97)(48, 102)(49, 98)(50, 99)(51, 105)(52, 104)(53, 112)(54, 116)(55, 109)(56, 113)(57, 110)(58, 111)(59, 115)(60, 114)(61, 141)(62, 142)(63, 139)(64, 140)(65, 144)(66, 143)(67, 133)(68, 134)(69, 135)(70, 136)(71, 137)(72, 138)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1378
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1383 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 12, 12})
Quotient :: loop
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ F^2, T2^4, T2^4, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T1^-3 * T2^2 * T1^-3, T1^-2 * T2 * T1^-3 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 21, 93, 8, 80)(4, 76, 12, 84, 28, 100, 14, 86)(6, 78, 18, 90, 45, 117, 19, 91)(9, 81, 26, 98, 15, 87, 27, 99)(11, 83, 29, 101, 16, 88, 31, 103)(13, 85, 34, 106, 41, 113, 36, 108)(17, 89, 42, 114, 35, 107, 43, 115)(20, 92, 50, 122, 23, 95, 51, 123)(22, 94, 52, 124, 24, 96, 54, 126)(25, 97, 57, 129, 39, 111, 58, 130)(30, 102, 62, 134, 40, 112, 63, 135)(32, 104, 59, 131, 37, 109, 60, 132)(33, 105, 61, 133, 38, 110, 64, 136)(44, 116, 65, 137, 47, 119, 66, 138)(46, 118, 67, 139, 48, 120, 68, 140)(49, 121, 69, 141, 55, 127, 70, 142)(53, 125, 71, 143, 56, 128, 72, 144)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 89)(7, 92)(8, 95)(9, 97)(10, 93)(11, 75)(12, 104)(13, 76)(14, 109)(15, 111)(16, 77)(17, 113)(18, 116)(19, 119)(20, 121)(21, 117)(22, 79)(23, 127)(24, 80)(25, 115)(26, 122)(27, 123)(28, 82)(29, 124)(30, 83)(31, 126)(32, 120)(33, 84)(34, 128)(35, 85)(36, 125)(37, 118)(38, 86)(39, 114)(40, 88)(41, 100)(42, 102)(43, 112)(44, 105)(45, 107)(46, 90)(47, 110)(48, 91)(49, 106)(50, 137)(51, 138)(52, 139)(53, 94)(54, 140)(55, 108)(56, 96)(57, 141)(58, 142)(59, 98)(60, 99)(61, 101)(62, 143)(63, 144)(64, 103)(65, 134)(66, 135)(67, 130)(68, 129)(69, 133)(70, 136)(71, 132)(72, 131)
	local type(s) :: { ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1380
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 8^18 ]

E22.1384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-1, Y2^3 * Y3 * Y1^-1 * Y2^3, Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2, Y2^-1 * R * Y2^3 * R * Y2^-2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^3 * Y1 * Y2^3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^3 * Y2^-1 * Y1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 41, 113, 29, 101)(16, 88, 38, 110, 42, 114, 39, 111)(20, 92, 45, 117, 32, 104, 47, 119)(24, 96, 54, 126, 33, 105, 55, 127)(25, 97, 43, 115, 30, 102, 48, 120)(26, 98, 50, 122, 31, 103, 52, 124)(28, 100, 56, 128, 40, 112, 46, 118)(34, 106, 44, 116, 36, 108, 49, 121)(35, 107, 51, 123, 37, 109, 53, 125)(57, 129, 67, 139, 63, 135, 69, 141)(58, 130, 72, 144, 64, 136, 66, 138)(59, 131, 65, 137, 61, 133, 71, 143)(60, 132, 70, 142, 62, 134, 68, 140)(145, 217, 147, 219, 154, 226, 172, 244, 186, 258, 162, 234, 150, 222, 161, 233, 185, 257, 184, 256, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 190, 262, 177, 249, 157, 229, 148, 220, 156, 228, 176, 248, 200, 272, 168, 240, 152, 224)(153, 225, 169, 241, 201, 273, 182, 254, 208, 280, 175, 247, 155, 227, 174, 246, 207, 279, 183, 255, 202, 274, 170, 242)(158, 230, 178, 250, 206, 278, 173, 245, 205, 277, 181, 253, 159, 231, 180, 252, 204, 276, 171, 243, 203, 275, 179, 251)(163, 235, 187, 259, 209, 281, 198, 270, 216, 288, 193, 265, 165, 237, 192, 264, 215, 287, 199, 271, 210, 282, 188, 260)(166, 238, 194, 266, 214, 286, 191, 263, 213, 285, 197, 269, 167, 239, 196, 268, 212, 284, 189, 261, 211, 283, 195, 267)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 173)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 183)(17, 153)(18, 158)(19, 151)(20, 191)(21, 156)(22, 152)(23, 157)(24, 199)(25, 192)(26, 196)(27, 154)(28, 190)(29, 185)(30, 187)(31, 194)(32, 189)(33, 198)(34, 193)(35, 197)(36, 188)(37, 195)(38, 160)(39, 186)(40, 200)(41, 171)(42, 182)(43, 169)(44, 178)(45, 164)(46, 184)(47, 176)(48, 174)(49, 180)(50, 170)(51, 179)(52, 175)(53, 181)(54, 168)(55, 177)(56, 172)(57, 213)(58, 210)(59, 215)(60, 212)(61, 209)(62, 214)(63, 211)(64, 216)(65, 203)(66, 208)(67, 201)(68, 206)(69, 207)(70, 204)(71, 205)(72, 202)(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, 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 E22.1388
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 8^18, 24^6 ]

E22.1385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3^-2 * Y1, Y3^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^2 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^2 * Y1^-1 * Y2^-2 * Y1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^-3 * Y3^-1 * Y1 * Y2^-3, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 20, 92, 35, 107, 28, 100)(16, 88, 24, 96, 36, 108, 31, 103)(25, 97, 45, 117, 29, 101, 47, 119)(26, 98, 48, 120, 30, 102, 49, 121)(27, 99, 46, 118, 34, 106, 50, 122)(32, 104, 51, 123, 33, 105, 52, 124)(37, 109, 53, 125, 40, 112, 55, 127)(38, 110, 56, 128, 41, 113, 57, 129)(39, 111, 54, 126, 44, 116, 58, 130)(42, 114, 59, 131, 43, 115, 60, 132)(61, 133, 69, 141, 63, 135, 67, 139)(62, 134, 70, 142, 64, 136, 68, 140)(65, 137, 72, 144, 66, 138, 71, 143)(145, 217, 147, 219, 154, 226, 171, 243, 180, 252, 162, 234, 150, 222, 161, 233, 179, 251, 178, 250, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 183, 255, 175, 247, 157, 229, 148, 220, 156, 228, 172, 244, 188, 260, 168, 240, 152, 224)(153, 225, 169, 241, 190, 262, 177, 249, 159, 231, 174, 246, 155, 227, 173, 245, 194, 266, 176, 248, 158, 230, 170, 242)(163, 235, 181, 253, 198, 270, 187, 259, 167, 239, 185, 257, 165, 237, 184, 256, 202, 274, 186, 258, 166, 238, 182, 254)(189, 261, 205, 277, 196, 268, 210, 282, 193, 265, 208, 280, 191, 263, 207, 279, 195, 267, 209, 281, 192, 264, 206, 278)(197, 269, 211, 283, 204, 276, 216, 288, 201, 273, 214, 286, 199, 271, 213, 285, 203, 275, 215, 287, 200, 272, 212, 284)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 172)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 175)(17, 153)(18, 158)(19, 151)(20, 154)(21, 156)(22, 152)(23, 157)(24, 160)(25, 191)(26, 193)(27, 194)(28, 179)(29, 189)(30, 192)(31, 180)(32, 196)(33, 195)(34, 190)(35, 164)(36, 168)(37, 199)(38, 201)(39, 202)(40, 197)(41, 200)(42, 204)(43, 203)(44, 198)(45, 169)(46, 171)(47, 173)(48, 170)(49, 174)(50, 178)(51, 176)(52, 177)(53, 181)(54, 183)(55, 184)(56, 182)(57, 185)(58, 188)(59, 186)(60, 187)(61, 211)(62, 212)(63, 213)(64, 214)(65, 215)(66, 216)(67, 207)(68, 208)(69, 205)(70, 206)(71, 210)(72, 209)(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, 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 E22.1389
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 8^18, 24^6 ]

E22.1386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^2 * Y1 * Y2^3 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^4, Y2^2 * Y1^-1 * Y2^-4 * Y1^-1, Y2 * Y1 * Y2 * Y1^7 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 44, 116, 27, 99, 49, 121, 40, 112, 57, 129, 34, 106, 13, 85, 4, 76)(3, 75, 9, 81, 19, 91, 46, 118, 67, 139, 63, 135, 36, 108, 14, 86, 25, 97, 8, 80, 24, 96, 11, 83)(5, 77, 15, 87, 20, 92, 12, 84, 23, 95, 7, 79, 21, 93, 45, 117, 68, 140, 61, 133, 35, 107, 16, 88)(10, 82, 29, 101, 47, 119, 37, 109, 59, 131, 26, 98, 58, 130, 32, 104, 56, 128, 28, 100, 55, 127, 31, 103)(17, 89, 41, 113, 48, 120, 39, 111, 54, 126, 38, 110, 50, 122, 33, 105, 53, 125, 22, 94, 51, 123, 42, 114)(30, 102, 60, 132, 69, 141, 66, 138, 71, 143, 62, 134, 43, 115, 52, 124, 70, 142, 64, 136, 72, 144, 65, 137)(145, 217, 147, 219, 154, 226, 174, 246, 194, 266, 165, 237, 193, 265, 180, 252, 202, 274, 187, 259, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 196, 268, 175, 247, 190, 262, 184, 256, 160, 232, 183, 255, 204, 276, 170, 242, 152, 224)(148, 220, 156, 228, 177, 249, 206, 278, 172, 244, 153, 225, 171, 243, 205, 277, 185, 257, 209, 281, 181, 253, 158, 230)(150, 222, 163, 235, 191, 263, 213, 285, 197, 269, 212, 284, 201, 273, 169, 241, 200, 272, 214, 286, 192, 264, 164, 236)(155, 227, 162, 234, 189, 261, 186, 258, 208, 280, 173, 245, 207, 279, 178, 250, 159, 231, 182, 254, 210, 282, 176, 248)(157, 229, 168, 240, 199, 271, 216, 288, 198, 270, 167, 239, 188, 260, 211, 283, 203, 275, 215, 287, 195, 267, 179, 251)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 171)(10, 174)(11, 162)(12, 177)(13, 168)(14, 148)(15, 182)(16, 183)(17, 149)(18, 189)(19, 191)(20, 150)(21, 193)(22, 196)(23, 188)(24, 199)(25, 200)(26, 152)(27, 205)(28, 153)(29, 207)(30, 194)(31, 190)(32, 155)(33, 206)(34, 159)(35, 157)(36, 202)(37, 158)(38, 210)(39, 204)(40, 160)(41, 209)(42, 208)(43, 161)(44, 211)(45, 186)(46, 184)(47, 213)(48, 164)(49, 180)(50, 165)(51, 179)(52, 175)(53, 212)(54, 167)(55, 216)(56, 214)(57, 169)(58, 187)(59, 215)(60, 170)(61, 185)(62, 172)(63, 178)(64, 173)(65, 181)(66, 176)(67, 203)(68, 201)(69, 197)(70, 192)(71, 195)(72, 198)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.1387
Graph:: bipartite
	v = 12 e = 144 f = 90
	degree seq :: [ 24^12 ]

E22.1387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^2 * Y3^4, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, Y3^3 * Y2^-1 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
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, 153, 225, 161, 233, 155, 227)(149, 221, 158, 230, 162, 234, 159, 231)(151, 223, 163, 235, 156, 228, 165, 237)(152, 224, 166, 238, 157, 229, 167, 239)(154, 226, 171, 243, 185, 257, 173, 245)(160, 232, 182, 254, 186, 258, 183, 255)(164, 236, 189, 261, 176, 248, 191, 263)(168, 240, 198, 270, 177, 249, 199, 271)(169, 241, 187, 259, 174, 246, 192, 264)(170, 242, 194, 266, 175, 247, 196, 268)(172, 244, 200, 272, 184, 256, 190, 262)(178, 250, 188, 260, 180, 252, 193, 265)(179, 251, 195, 267, 181, 253, 197, 269)(201, 273, 211, 283, 207, 279, 213, 285)(202, 274, 216, 288, 208, 280, 210, 282)(203, 275, 209, 281, 205, 277, 215, 287)(204, 276, 214, 286, 206, 278, 212, 284)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 169)(10, 172)(11, 174)(12, 176)(13, 148)(14, 178)(15, 180)(16, 149)(17, 185)(18, 150)(19, 187)(20, 190)(21, 192)(22, 194)(23, 196)(24, 152)(25, 201)(26, 153)(27, 203)(28, 186)(29, 205)(30, 207)(31, 155)(32, 200)(33, 157)(34, 206)(35, 158)(36, 204)(37, 159)(38, 208)(39, 202)(40, 160)(41, 184)(42, 162)(43, 209)(44, 163)(45, 211)(46, 177)(47, 213)(48, 215)(49, 165)(50, 214)(51, 166)(52, 212)(53, 167)(54, 216)(55, 210)(56, 168)(57, 182)(58, 170)(59, 179)(60, 171)(61, 181)(62, 173)(63, 183)(64, 175)(65, 198)(66, 188)(67, 195)(68, 189)(69, 197)(70, 191)(71, 199)(72, 193)(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) :: { ( 24, 24 ), ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1386
Graph:: simple bipartite
	v = 90 e = 144 f = 12
	degree seq :: [ 2^72, 8^18 ]

E22.1388 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1^-2 * Y3^2 * Y1^-4, (Y3 * Y2^-1)^4, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 35, 107, 27, 99, 10, 82, 21, 93, 39, 111, 32, 104, 13, 85, 4, 76)(3, 75, 9, 81, 18, 90, 38, 110, 33, 105, 16, 88, 5, 77, 15, 87, 19, 91, 40, 112, 29, 101, 11, 83)(7, 79, 20, 92, 36, 108, 34, 106, 14, 86, 24, 96, 8, 80, 23, 95, 37, 109, 31, 103, 12, 84, 22, 94)(25, 97, 45, 117, 53, 125, 50, 122, 30, 102, 48, 120, 26, 98, 47, 119, 54, 126, 49, 121, 28, 100, 46, 118)(41, 113, 55, 127, 52, 124, 60, 132, 44, 116, 58, 130, 42, 114, 57, 129, 51, 123, 59, 131, 43, 115, 56, 128)(61, 133, 68, 140, 66, 138, 71, 143, 64, 136, 69, 141, 62, 134, 67, 139, 65, 137, 72, 144, 63, 135, 70, 142)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 169)(10, 149)(11, 172)(12, 171)(13, 173)(14, 148)(15, 170)(16, 174)(17, 180)(18, 183)(19, 150)(20, 185)(21, 152)(22, 187)(23, 186)(24, 188)(25, 159)(26, 153)(27, 158)(28, 160)(29, 179)(30, 155)(31, 195)(32, 181)(33, 157)(34, 196)(35, 177)(36, 176)(37, 161)(38, 197)(39, 163)(40, 198)(41, 167)(42, 164)(43, 168)(44, 166)(45, 205)(46, 207)(47, 206)(48, 208)(49, 209)(50, 210)(51, 178)(52, 175)(53, 184)(54, 182)(55, 211)(56, 213)(57, 212)(58, 214)(59, 215)(60, 216)(61, 191)(62, 189)(63, 192)(64, 190)(65, 194)(66, 193)(67, 201)(68, 199)(69, 202)(70, 200)(71, 204)(72, 203)(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, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1384
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1389 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (C3 : Q8) (small group id <72, 26>)
Aut   = (C12 x S3) : C2 (small group id <144, 142>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3^2 * Y1^-3, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-2, (Y3 * Y2^-1)^4, Y3 * Y1^-3 * Y3^-1 * Y1^-3 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 41, 113, 28, 100, 10, 82, 21, 93, 45, 117, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 43, 115, 40, 112, 16, 88, 5, 77, 15, 87, 39, 111, 42, 114, 30, 102, 11, 83)(7, 79, 20, 92, 49, 121, 34, 106, 56, 128, 24, 96, 8, 80, 23, 95, 55, 127, 36, 108, 53, 125, 22, 94)(12, 84, 32, 104, 48, 120, 19, 91, 47, 119, 38, 110, 14, 86, 37, 109, 46, 118, 18, 90, 44, 116, 33, 105)(26, 98, 50, 122, 65, 137, 62, 134, 71, 143, 60, 132, 27, 99, 51, 123, 66, 138, 63, 135, 72, 144, 59, 131)(29, 101, 52, 124, 67, 139, 58, 130, 70, 142, 64, 136, 31, 103, 54, 126, 68, 140, 57, 129, 69, 141, 61, 133)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 173)(12, 172)(13, 178)(14, 148)(15, 171)(16, 175)(17, 186)(18, 189)(19, 150)(20, 194)(21, 152)(22, 196)(23, 195)(24, 198)(25, 201)(26, 159)(27, 153)(28, 158)(29, 160)(30, 206)(31, 155)(32, 203)(33, 205)(34, 185)(35, 187)(36, 157)(37, 204)(38, 208)(39, 202)(40, 207)(41, 180)(42, 179)(43, 161)(44, 209)(45, 163)(46, 211)(47, 210)(48, 212)(49, 213)(50, 167)(51, 164)(52, 168)(53, 215)(54, 166)(55, 214)(56, 216)(57, 183)(58, 169)(59, 181)(60, 176)(61, 182)(62, 184)(63, 174)(64, 177)(65, 191)(66, 188)(67, 192)(68, 190)(69, 199)(70, 193)(71, 200)(72, 197)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1385
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1390 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 9, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2^9, T2^-3 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-3 * T1^-1 * T2^-3 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 47, 56, 40, 16, 5)(2, 7, 20, 43, 59, 60, 44, 24, 8)(4, 12, 32, 48, 64, 66, 51, 33, 13)(6, 17, 41, 57, 71, 72, 58, 42, 18)(9, 25, 45, 61, 69, 54, 38, 23, 26)(11, 30, 50, 63, 70, 55, 39, 22, 31)(14, 34, 19, 27, 46, 62, 67, 52, 35)(15, 36, 21, 29, 49, 65, 68, 53, 37)(73, 74, 78, 76)(75, 81, 89, 83)(77, 86, 90, 87)(79, 91, 84, 93)(80, 94, 85, 95)(82, 99, 113, 101)(88, 110, 114, 111)(92, 102, 104, 97)(96, 107, 105, 109)(98, 108, 103, 106)(100, 115, 129, 120)(112, 116, 130, 123)(117, 121, 122, 118)(119, 133, 143, 135)(124, 126, 125, 127)(128, 139, 144, 140)(131, 134, 136, 137)(132, 142, 138, 141)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36^4 ), ( 36^9 ) }
Outer automorphisms :: reflexible
Dual of E22.1394
Transitivity :: ET+
Graph:: simple bipartite
	v = 26 e = 72 f = 4
	degree seq :: [ 4^18, 9^8 ]

E22.1391 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 9, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2^2 * T1^-1, T1^2 * T2^-1 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4, T2^-3 * T1 * T2^-2 * T1 * T2^-2, T1^9 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 58, 44, 18, 43, 21, 50, 38, 64, 35, 63, 68, 41, 17, 5)(2, 7, 22, 51, 71, 62, 42, 69, 45, 40, 16, 36, 13, 30, 60, 56, 26, 8)(4, 12, 32, 59, 48, 20, 6, 19, 9, 28, 57, 72, 66, 67, 70, 55, 25, 14)(11, 31, 61, 47, 39, 15, 27, 53, 23, 52, 34, 65, 54, 24, 49, 37, 46, 33)(73, 74, 78, 90, 114, 138, 107, 85, 76)(75, 81, 99, 115, 142, 126, 135, 104, 83)(77, 87, 98, 116, 137, 143, 136, 105, 88)(79, 93, 121, 141, 140, 133, 102, 82, 95)(80, 96, 120, 134, 103, 129, 108, 125, 97)(84, 94, 118, 91, 117, 111, 139, 132, 106)(86, 109, 89, 92, 119, 130, 144, 124, 110)(100, 122, 112, 127, 113, 128, 131, 101, 123)
	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) :: { ( 8^9 ), ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1395
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 9^8, 18^4 ]

E22.1392 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 9, 18})
Quotient :: edge
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2^-1, T1^3 * T2 * T1^3 * T2 * T1^3, T2^-1 * T1^-4 * T2^2 * T1^-3 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 45, 19)(9, 26, 15, 27)(11, 29, 16, 31)(13, 34, 49, 36)(17, 42, 61, 43)(20, 25, 23, 39)(22, 37, 24, 32)(30, 33, 40, 38)(35, 50, 65, 54)(41, 58, 69, 59)(44, 47, 46, 48)(51, 52, 56, 55)(53, 67, 57, 70)(60, 63, 62, 64)(66, 72, 71, 68)(73, 74, 78, 89, 113, 129, 137, 121, 100, 82, 93, 117, 133, 141, 125, 107, 85, 76)(75, 81, 97, 114, 132, 143, 126, 112, 88, 77, 87, 111, 115, 134, 138, 122, 102, 83)(79, 92, 119, 130, 144, 127, 108, 101, 96, 80, 95, 120, 131, 140, 124, 106, 103, 94)(84, 104, 98, 90, 116, 135, 142, 128, 110, 86, 109, 99, 91, 118, 136, 139, 123, 105)
	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) :: { ( 18^4 ), ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1393
Transitivity :: ET+
Graph:: bipartite
	v = 22 e = 72 f = 8
	degree seq :: [ 4^18, 18^4 ]

E22.1393 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 9, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2^9, T2^-3 * T1 * T2^-4 * T1 * T2^-4 * T1 * T2^-3 * T1^-1 * T2^-3 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 28, 100, 47, 119, 56, 128, 40, 112, 16, 88, 5, 77)(2, 74, 7, 79, 20, 92, 43, 115, 59, 131, 60, 132, 44, 116, 24, 96, 8, 80)(4, 76, 12, 84, 32, 104, 48, 120, 64, 136, 66, 138, 51, 123, 33, 105, 13, 85)(6, 78, 17, 89, 41, 113, 57, 129, 71, 143, 72, 144, 58, 130, 42, 114, 18, 90)(9, 81, 25, 97, 45, 117, 61, 133, 69, 141, 54, 126, 38, 110, 23, 95, 26, 98)(11, 83, 30, 102, 50, 122, 63, 135, 70, 142, 55, 127, 39, 111, 22, 94, 31, 103)(14, 86, 34, 106, 19, 91, 27, 99, 46, 118, 62, 134, 67, 139, 52, 124, 35, 107)(15, 87, 36, 108, 21, 93, 29, 101, 49, 121, 65, 137, 68, 140, 53, 125, 37, 109)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 86)(6, 76)(7, 91)(8, 94)(9, 89)(10, 99)(11, 75)(12, 93)(13, 95)(14, 90)(15, 77)(16, 110)(17, 83)(18, 87)(19, 84)(20, 102)(21, 79)(22, 85)(23, 80)(24, 107)(25, 92)(26, 108)(27, 113)(28, 115)(29, 82)(30, 104)(31, 106)(32, 97)(33, 109)(34, 98)(35, 105)(36, 103)(37, 96)(38, 114)(39, 88)(40, 116)(41, 101)(42, 111)(43, 129)(44, 130)(45, 121)(46, 117)(47, 133)(48, 100)(49, 122)(50, 118)(51, 112)(52, 126)(53, 127)(54, 125)(55, 124)(56, 139)(57, 120)(58, 123)(59, 134)(60, 142)(61, 143)(62, 136)(63, 119)(64, 137)(65, 131)(66, 141)(67, 144)(68, 128)(69, 132)(70, 138)(71, 135)(72, 140)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1392
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 72 f = 22
	degree seq :: [ 18^8 ]

E22.1394 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 9, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^2 * T2^2 * T1^-1, T1^2 * T2^-1 * T1^-1 * T2^2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^4, T2^-3 * T1 * T2^-2 * T1 * T2^-2, T1^9 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 29, 101, 58, 130, 44, 116, 18, 90, 43, 115, 21, 93, 50, 122, 38, 110, 64, 136, 35, 107, 63, 135, 68, 140, 41, 113, 17, 89, 5, 77)(2, 74, 7, 79, 22, 94, 51, 123, 71, 143, 62, 134, 42, 114, 69, 141, 45, 117, 40, 112, 16, 88, 36, 108, 13, 85, 30, 102, 60, 132, 56, 128, 26, 98, 8, 80)(4, 76, 12, 84, 32, 104, 59, 131, 48, 120, 20, 92, 6, 78, 19, 91, 9, 81, 28, 100, 57, 129, 72, 144, 66, 138, 67, 139, 70, 142, 55, 127, 25, 97, 14, 86)(11, 83, 31, 103, 61, 133, 47, 119, 39, 111, 15, 87, 27, 99, 53, 125, 23, 95, 52, 124, 34, 106, 65, 137, 54, 126, 24, 96, 49, 121, 37, 109, 46, 118, 33, 105)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 90)(7, 93)(8, 96)(9, 99)(10, 95)(11, 75)(12, 94)(13, 76)(14, 109)(15, 98)(16, 77)(17, 92)(18, 114)(19, 117)(20, 119)(21, 121)(22, 118)(23, 79)(24, 120)(25, 80)(26, 116)(27, 115)(28, 122)(29, 123)(30, 82)(31, 129)(32, 83)(33, 88)(34, 84)(35, 85)(36, 125)(37, 89)(38, 86)(39, 139)(40, 127)(41, 128)(42, 138)(43, 142)(44, 137)(45, 111)(46, 91)(47, 130)(48, 134)(49, 141)(50, 112)(51, 100)(52, 110)(53, 97)(54, 135)(55, 113)(56, 131)(57, 108)(58, 144)(59, 101)(60, 106)(61, 102)(62, 103)(63, 104)(64, 105)(65, 143)(66, 107)(67, 132)(68, 133)(69, 140)(70, 126)(71, 136)(72, 124)
	local type(s) :: { ( 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9 ) }
Outer automorphisms :: reflexible
Dual of E22.1390
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 72 f = 26
	degree seq :: [ 36^4 ]

E22.1395 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 9, 18})
Quotient :: loop
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2^-1, T1^3 * T2 * T1^3 * T2 * T1^3, T2^-1 * T1^-4 * T2^2 * T1^-3 * T2^-1 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 10, 82, 5, 77)(2, 74, 7, 79, 21, 93, 8, 80)(4, 76, 12, 84, 28, 100, 14, 86)(6, 78, 18, 90, 45, 117, 19, 91)(9, 81, 26, 98, 15, 87, 27, 99)(11, 83, 29, 101, 16, 88, 31, 103)(13, 85, 34, 106, 49, 121, 36, 108)(17, 89, 42, 114, 61, 133, 43, 115)(20, 92, 25, 97, 23, 95, 39, 111)(22, 94, 37, 109, 24, 96, 32, 104)(30, 102, 33, 105, 40, 112, 38, 110)(35, 107, 50, 122, 65, 137, 54, 126)(41, 113, 58, 130, 69, 141, 59, 131)(44, 116, 47, 119, 46, 118, 48, 120)(51, 123, 52, 124, 56, 128, 55, 127)(53, 125, 67, 139, 57, 129, 70, 142)(60, 132, 63, 135, 62, 134, 64, 136)(66, 138, 72, 144, 71, 143, 68, 140)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 87)(6, 89)(7, 92)(8, 95)(9, 97)(10, 93)(11, 75)(12, 104)(13, 76)(14, 109)(15, 111)(16, 77)(17, 113)(18, 116)(19, 118)(20, 119)(21, 117)(22, 79)(23, 120)(24, 80)(25, 114)(26, 90)(27, 91)(28, 82)(29, 96)(30, 83)(31, 94)(32, 98)(33, 84)(34, 103)(35, 85)(36, 101)(37, 99)(38, 86)(39, 115)(40, 88)(41, 129)(42, 132)(43, 134)(44, 135)(45, 133)(46, 136)(47, 130)(48, 131)(49, 100)(50, 102)(51, 105)(52, 106)(53, 107)(54, 112)(55, 108)(56, 110)(57, 137)(58, 144)(59, 140)(60, 143)(61, 141)(62, 138)(63, 142)(64, 139)(65, 121)(66, 122)(67, 123)(68, 124)(69, 125)(70, 128)(71, 126)(72, 127)
	local type(s) :: { ( 9, 18, 9, 18, 9, 18, 9, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1391
Transitivity :: ET+ VT+ AT
Graph::
	v = 18 e = 72 f = 12
	degree seq :: [ 8^18 ]

E22.1396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-2, Y1 * Y2^-2 * Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2 * R * Y2^2 * R * Y2, Y2^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 41, 113, 29, 101)(16, 88, 38, 110, 42, 114, 39, 111)(20, 92, 30, 102, 32, 104, 25, 97)(24, 96, 35, 107, 33, 105, 37, 109)(26, 98, 36, 108, 31, 103, 34, 106)(28, 100, 43, 115, 57, 129, 48, 120)(40, 112, 44, 116, 58, 130, 51, 123)(45, 117, 49, 121, 50, 122, 46, 118)(47, 119, 61, 133, 71, 143, 63, 135)(52, 124, 54, 126, 53, 125, 55, 127)(56, 128, 67, 139, 72, 144, 68, 140)(59, 131, 62, 134, 64, 136, 65, 137)(60, 132, 70, 142, 66, 138, 69, 141)(145, 217, 147, 219, 154, 226, 172, 244, 191, 263, 200, 272, 184, 256, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 187, 259, 203, 275, 204, 276, 188, 260, 168, 240, 152, 224)(148, 220, 156, 228, 176, 248, 192, 264, 208, 280, 210, 282, 195, 267, 177, 249, 157, 229)(150, 222, 161, 233, 185, 257, 201, 273, 215, 287, 216, 288, 202, 274, 186, 258, 162, 234)(153, 225, 169, 241, 189, 261, 205, 277, 213, 285, 198, 270, 182, 254, 167, 239, 170, 242)(155, 227, 174, 246, 194, 266, 207, 279, 214, 286, 199, 271, 183, 255, 166, 238, 175, 247)(158, 230, 178, 250, 163, 235, 171, 243, 190, 262, 206, 278, 211, 283, 196, 268, 179, 251)(159, 231, 180, 252, 165, 237, 173, 245, 193, 265, 209, 281, 212, 284, 197, 269, 181, 253)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 173)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 183)(17, 153)(18, 158)(19, 151)(20, 169)(21, 156)(22, 152)(23, 157)(24, 181)(25, 176)(26, 178)(27, 154)(28, 192)(29, 185)(30, 164)(31, 180)(32, 174)(33, 179)(34, 175)(35, 168)(36, 170)(37, 177)(38, 160)(39, 186)(40, 195)(41, 171)(42, 182)(43, 172)(44, 184)(45, 190)(46, 194)(47, 207)(48, 201)(49, 189)(50, 193)(51, 202)(52, 199)(53, 198)(54, 196)(55, 197)(56, 212)(57, 187)(58, 188)(59, 209)(60, 213)(61, 191)(62, 203)(63, 215)(64, 206)(65, 208)(66, 214)(67, 200)(68, 216)(69, 210)(70, 204)(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) :: { ( 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 E22.1399
Graph:: bipartite
	v = 26 e = 144 f = 76
	degree seq :: [ 8^18, 18^8 ]

E22.1397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1 * Y2^-2, Y1^2 * Y2^-1 * Y1^-1 * Y2^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-2, Y1^-3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y1 * Y2^-2 * Y1 * Y2^-5, Y1^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 42, 114, 66, 138, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 43, 115, 70, 142, 54, 126, 63, 135, 32, 104, 11, 83)(5, 77, 15, 87, 26, 98, 44, 116, 65, 137, 71, 143, 64, 136, 33, 105, 16, 88)(7, 79, 21, 93, 49, 121, 69, 141, 68, 140, 61, 133, 30, 102, 10, 82, 23, 95)(8, 80, 24, 96, 48, 120, 62, 134, 31, 103, 57, 129, 36, 108, 53, 125, 25, 97)(12, 84, 22, 94, 46, 118, 19, 91, 45, 117, 39, 111, 67, 139, 60, 132, 34, 106)(14, 86, 37, 109, 17, 89, 20, 92, 47, 119, 58, 130, 72, 144, 52, 124, 38, 110)(28, 100, 50, 122, 40, 112, 55, 127, 41, 113, 56, 128, 59, 131, 29, 101, 51, 123)(145, 217, 147, 219, 154, 226, 173, 245, 202, 274, 188, 260, 162, 234, 187, 259, 165, 237, 194, 266, 182, 254, 208, 280, 179, 251, 207, 279, 212, 284, 185, 257, 161, 233, 149, 221)(146, 218, 151, 223, 166, 238, 195, 267, 215, 287, 206, 278, 186, 258, 213, 285, 189, 261, 184, 256, 160, 232, 180, 252, 157, 229, 174, 246, 204, 276, 200, 272, 170, 242, 152, 224)(148, 220, 156, 228, 176, 248, 203, 275, 192, 264, 164, 236, 150, 222, 163, 235, 153, 225, 172, 244, 201, 273, 216, 288, 210, 282, 211, 283, 214, 286, 199, 271, 169, 241, 158, 230)(155, 227, 175, 247, 205, 277, 191, 263, 183, 255, 159, 231, 171, 243, 197, 269, 167, 239, 196, 268, 178, 250, 209, 281, 198, 270, 168, 240, 193, 265, 181, 253, 190, 262, 177, 249)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 173)(11, 175)(12, 176)(13, 174)(14, 148)(15, 171)(16, 180)(17, 149)(18, 187)(19, 153)(20, 150)(21, 194)(22, 195)(23, 196)(24, 193)(25, 158)(26, 152)(27, 197)(28, 201)(29, 202)(30, 204)(31, 205)(32, 203)(33, 155)(34, 209)(35, 207)(36, 157)(37, 190)(38, 208)(39, 159)(40, 160)(41, 161)(42, 213)(43, 165)(44, 162)(45, 184)(46, 177)(47, 183)(48, 164)(49, 181)(50, 182)(51, 215)(52, 178)(53, 167)(54, 168)(55, 169)(56, 170)(57, 216)(58, 188)(59, 192)(60, 200)(61, 191)(62, 186)(63, 212)(64, 179)(65, 198)(66, 211)(67, 214)(68, 185)(69, 189)(70, 199)(71, 206)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E22.1398
Graph:: bipartite
	v = 12 e = 144 f = 90
	degree seq :: [ 18^8, 36^4 ]

E22.1398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-2, Y3^9 * Y2^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^3, (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, 153, 225, 161, 233, 155, 227)(149, 221, 158, 230, 162, 234, 159, 231)(151, 223, 163, 235, 156, 228, 165, 237)(152, 224, 166, 238, 157, 229, 167, 239)(154, 226, 171, 243, 185, 257, 173, 245)(160, 232, 182, 254, 186, 258, 183, 255)(164, 236, 169, 241, 176, 248, 174, 246)(168, 240, 181, 253, 177, 249, 179, 251)(170, 242, 178, 250, 175, 247, 180, 252)(172, 244, 187, 259, 201, 273, 192, 264)(184, 256, 188, 260, 202, 274, 195, 267)(189, 261, 190, 262, 194, 266, 193, 265)(191, 263, 205, 277, 216, 288, 208, 280)(196, 268, 199, 271, 197, 269, 198, 270)(200, 272, 212, 284, 207, 279, 213, 285)(203, 275, 210, 282, 209, 281, 206, 278)(204, 276, 214, 286, 211, 283, 215, 287)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 161)(7, 164)(8, 146)(9, 169)(10, 172)(11, 174)(12, 176)(13, 148)(14, 178)(15, 180)(16, 149)(17, 185)(18, 150)(19, 173)(20, 187)(21, 171)(22, 170)(23, 175)(24, 152)(25, 189)(26, 153)(27, 190)(28, 191)(29, 193)(30, 194)(31, 155)(32, 192)(33, 157)(34, 165)(35, 158)(36, 163)(37, 159)(38, 166)(39, 167)(40, 160)(41, 201)(42, 162)(43, 203)(44, 168)(45, 205)(46, 206)(47, 207)(48, 209)(49, 210)(50, 208)(51, 177)(52, 179)(53, 181)(54, 182)(55, 183)(56, 184)(57, 216)(58, 186)(59, 211)(60, 188)(61, 215)(62, 213)(63, 202)(64, 214)(65, 204)(66, 212)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(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) :: { ( 18, 36 ), ( 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1397
Graph:: simple bipartite
	v = 90 e = 144 f = 12
	degree seq :: [ 2^72, 8^18 ]

E22.1399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-5 * Y3 * Y1^-3 * Y3 * Y1^-1, Y1^8 * Y3^-2 * Y1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 17, 89, 41, 113, 57, 129, 65, 137, 49, 121, 28, 100, 10, 82, 21, 93, 45, 117, 61, 133, 69, 141, 53, 125, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 25, 97, 42, 114, 60, 132, 71, 143, 54, 126, 40, 112, 16, 88, 5, 77, 15, 87, 39, 111, 43, 115, 62, 134, 66, 138, 50, 122, 30, 102, 11, 83)(7, 79, 20, 92, 47, 119, 58, 130, 72, 144, 55, 127, 36, 108, 29, 101, 24, 96, 8, 80, 23, 95, 48, 120, 59, 131, 68, 140, 52, 124, 34, 106, 31, 103, 22, 94)(12, 84, 32, 104, 26, 98, 18, 90, 44, 116, 63, 135, 70, 142, 56, 128, 38, 110, 14, 86, 37, 109, 27, 99, 19, 91, 46, 118, 64, 136, 67, 139, 51, 123, 33, 105)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 162)(7, 165)(8, 146)(9, 170)(10, 149)(11, 173)(12, 172)(13, 178)(14, 148)(15, 171)(16, 175)(17, 186)(18, 189)(19, 150)(20, 169)(21, 152)(22, 181)(23, 183)(24, 176)(25, 167)(26, 159)(27, 153)(28, 158)(29, 160)(30, 177)(31, 155)(32, 166)(33, 184)(34, 193)(35, 194)(36, 157)(37, 168)(38, 174)(39, 164)(40, 182)(41, 202)(42, 205)(43, 161)(44, 191)(45, 163)(46, 192)(47, 190)(48, 188)(49, 180)(50, 209)(51, 196)(52, 200)(53, 211)(54, 179)(55, 195)(56, 199)(57, 214)(58, 213)(59, 185)(60, 207)(61, 187)(62, 208)(63, 206)(64, 204)(65, 198)(66, 216)(67, 201)(68, 210)(69, 203)(70, 197)(71, 212)(72, 215)(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, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1396
Graph:: simple bipartite
	v = 76 e = 144 f = 26
	degree seq :: [ 2^72, 36^4 ]

E22.1400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-3, Y1^2 * Y2^-1 * Y1 * Y3^-1 * Y2, Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-2, Y3^2 * Y2^-1 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, Y1 * Y2^2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2^-2 * Y3^-1 * Y2 * Y3 * Y2, Y1 * Y2 * R * Y2^2 * R * Y2, Y1 * Y2^9 * Y1, (Y3 * Y2^-1)^9 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 9, 81, 17, 89, 11, 83)(5, 77, 14, 86, 18, 90, 15, 87)(7, 79, 19, 91, 12, 84, 21, 93)(8, 80, 22, 94, 13, 85, 23, 95)(10, 82, 27, 99, 41, 113, 29, 101)(16, 88, 38, 110, 42, 114, 39, 111)(20, 92, 30, 102, 32, 104, 25, 97)(24, 96, 35, 107, 33, 105, 37, 109)(26, 98, 36, 108, 31, 103, 34, 106)(28, 100, 43, 115, 57, 129, 48, 120)(40, 112, 44, 116, 58, 130, 51, 123)(45, 117, 49, 121, 50, 122, 46, 118)(47, 119, 61, 133, 72, 144, 64, 136)(52, 124, 54, 126, 53, 125, 55, 127)(56, 128, 68, 140, 63, 135, 69, 141)(59, 131, 62, 134, 65, 137, 66, 138)(60, 132, 71, 143, 67, 139, 70, 142)(145, 217, 147, 219, 154, 226, 172, 244, 191, 263, 207, 279, 202, 274, 186, 258, 162, 234, 150, 222, 161, 233, 185, 257, 201, 273, 216, 288, 200, 272, 184, 256, 160, 232, 149, 221)(146, 218, 151, 223, 164, 236, 187, 259, 203, 275, 211, 283, 195, 267, 177, 249, 157, 229, 148, 220, 156, 228, 176, 248, 192, 264, 209, 281, 204, 276, 188, 260, 168, 240, 152, 224)(153, 225, 169, 241, 189, 261, 205, 277, 215, 287, 199, 271, 183, 255, 166, 238, 175, 247, 155, 227, 174, 246, 194, 266, 208, 280, 214, 286, 198, 270, 182, 254, 167, 239, 170, 242)(158, 230, 178, 250, 163, 235, 171, 243, 190, 262, 206, 278, 213, 285, 197, 269, 181, 253, 159, 231, 180, 252, 165, 237, 173, 245, 193, 265, 210, 282, 212, 284, 196, 268, 179, 251)
	L = (1, 148)(2, 145)(3, 155)(4, 150)(5, 159)(6, 146)(7, 165)(8, 167)(9, 147)(10, 173)(11, 161)(12, 163)(13, 166)(14, 149)(15, 162)(16, 183)(17, 153)(18, 158)(19, 151)(20, 169)(21, 156)(22, 152)(23, 157)(24, 181)(25, 176)(26, 178)(27, 154)(28, 192)(29, 185)(30, 164)(31, 180)(32, 174)(33, 179)(34, 175)(35, 168)(36, 170)(37, 177)(38, 160)(39, 186)(40, 195)(41, 171)(42, 182)(43, 172)(44, 184)(45, 190)(46, 194)(47, 208)(48, 201)(49, 189)(50, 193)(51, 202)(52, 199)(53, 198)(54, 196)(55, 197)(56, 213)(57, 187)(58, 188)(59, 210)(60, 214)(61, 191)(62, 203)(63, 212)(64, 216)(65, 206)(66, 209)(67, 215)(68, 200)(69, 207)(70, 211)(71, 204)(72, 205)(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, 18, 2, 18, 2, 18, 2, 18 ), ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1401
Graph:: bipartite
	v = 22 e = 144 f = 80
	degree seq :: [ 8^18, 36^4 ]

E22.1401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 9, 18})
Quotient :: dipole
Aut^+ = Q8 : C9 (small group id <72, 3>)
Aut   = (Q8 : C9) : C2 (small group id <144, 32>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1 * Y3^-2, Y1 * Y3 * Y1^-2 * Y3^-2, Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-2, Y1^-3 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y3 * Y1)^4, Y1^2 * Y3^-2 * Y1^2 * Y3^-1 * Y1 * Y3^-1, Y3^-2 * Y1^3 * Y3^-4, Y1^9, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 18, 90, 42, 114, 66, 138, 35, 107, 13, 85, 4, 76)(3, 75, 9, 81, 27, 99, 43, 115, 70, 142, 54, 126, 63, 135, 32, 104, 11, 83)(5, 77, 15, 87, 26, 98, 44, 116, 65, 137, 71, 143, 64, 136, 33, 105, 16, 88)(7, 79, 21, 93, 49, 121, 69, 141, 68, 140, 61, 133, 30, 102, 10, 82, 23, 95)(8, 80, 24, 96, 48, 120, 62, 134, 31, 103, 57, 129, 36, 108, 53, 125, 25, 97)(12, 84, 22, 94, 46, 118, 19, 91, 45, 117, 39, 111, 67, 139, 60, 132, 34, 106)(14, 86, 37, 109, 17, 89, 20, 92, 47, 119, 58, 130, 72, 144, 52, 124, 38, 110)(28, 100, 50, 122, 40, 112, 55, 127, 41, 113, 56, 128, 59, 131, 29, 101, 51, 123)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 154)(4, 156)(5, 145)(6, 163)(7, 166)(8, 146)(9, 172)(10, 173)(11, 175)(12, 176)(13, 174)(14, 148)(15, 171)(16, 180)(17, 149)(18, 187)(19, 153)(20, 150)(21, 194)(22, 195)(23, 196)(24, 193)(25, 158)(26, 152)(27, 197)(28, 201)(29, 202)(30, 204)(31, 205)(32, 203)(33, 155)(34, 209)(35, 207)(36, 157)(37, 190)(38, 208)(39, 159)(40, 160)(41, 161)(42, 213)(43, 165)(44, 162)(45, 184)(46, 177)(47, 183)(48, 164)(49, 181)(50, 182)(51, 215)(52, 178)(53, 167)(54, 168)(55, 169)(56, 170)(57, 216)(58, 188)(59, 192)(60, 200)(61, 191)(62, 186)(63, 212)(64, 179)(65, 198)(66, 211)(67, 214)(68, 185)(69, 189)(70, 199)(71, 206)(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) :: { ( 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1400
Graph:: simple bipartite
	v = 80 e = 144 f = 22
	degree seq :: [ 2^72, 18^8 ]

E22.1402 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^24 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 71, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 72, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(73, 74, 76)(75, 80, 78)(77, 82, 79)(81, 84, 86)(83, 85, 88)(87, 92, 90)(89, 94, 91)(93, 96, 98)(95, 97, 100)(99, 104, 102)(101, 106, 103)(105, 108, 110)(107, 109, 112)(111, 116, 114)(113, 118, 115)(117, 120, 122)(119, 121, 124)(123, 128, 126)(125, 130, 127)(129, 132, 134)(131, 133, 136)(135, 140, 138)(137, 142, 139)(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) :: { ( 48^3 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1404
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 72 f = 3
	degree seq :: [ 3^24, 24^3 ]

E22.1403 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2, (T1^-1, T2^-1, T1), T2 * T1^-1 * T2^7 * T1^-1, (T2^-1 * T1^-1)^24 ]
Map:: non-degenerate
	R = (1, 3, 9, 24, 47, 61, 41, 19, 37, 16, 36, 58, 72, 69, 53, 31, 51, 29, 50, 67, 57, 35, 15, 5)(2, 6, 17, 38, 59, 68, 52, 30, 46, 28, 45, 65, 71, 56, 34, 14, 27, 10, 26, 48, 63, 43, 21, 7)(4, 11, 25, 49, 66, 55, 33, 13, 23, 8, 22, 44, 64, 62, 42, 20, 40, 18, 39, 60, 70, 54, 32, 12)(73, 74, 76)(75, 80, 82)(77, 85, 86)(78, 88, 90)(79, 91, 92)(81, 89, 97)(83, 100, 101)(84, 102, 103)(87, 93, 104)(94, 108, 117)(95, 109, 118)(96, 116, 120)(98, 111, 122)(99, 112, 123)(105, 113, 124)(106, 114, 125)(107, 127, 128)(110, 130, 132)(115, 133, 134)(119, 131, 138)(121, 137, 139)(126, 140, 141)(129, 135, 142)(136, 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) :: { ( 48^3 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1405
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 72 f = 3
	degree seq :: [ 3^24, 24^3 ]

E22.1404 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, T2^24 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 15, 87, 21, 93, 27, 99, 33, 105, 39, 111, 45, 117, 51, 123, 57, 129, 63, 135, 69, 141, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 5, 77)(2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 71, 143, 67, 139, 61, 133, 55, 127, 49, 121, 43, 115, 37, 109, 31, 103, 25, 97, 19, 91, 13, 85, 7, 79)(4, 76, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 72, 144, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 82)(6, 75)(7, 77)(8, 78)(9, 84)(10, 79)(11, 85)(12, 86)(13, 88)(14, 81)(15, 92)(16, 83)(17, 94)(18, 87)(19, 89)(20, 90)(21, 96)(22, 91)(23, 97)(24, 98)(25, 100)(26, 93)(27, 104)(28, 95)(29, 106)(30, 99)(31, 101)(32, 102)(33, 108)(34, 103)(35, 109)(36, 110)(37, 112)(38, 105)(39, 116)(40, 107)(41, 118)(42, 111)(43, 113)(44, 114)(45, 120)(46, 115)(47, 121)(48, 122)(49, 124)(50, 117)(51, 128)(52, 119)(53, 130)(54, 123)(55, 125)(56, 126)(57, 132)(58, 127)(59, 133)(60, 134)(61, 136)(62, 129)(63, 140)(64, 131)(65, 142)(66, 135)(67, 137)(68, 138)(69, 143)(70, 139)(71, 144)(72, 141)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1402
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 27
	degree seq :: [ 48^3 ]

E22.1405 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2, (T1^-1, T2^-1, T1), T2 * T1^-1 * T2^7 * T1^-1, (T2^-1 * T1^-1)^24 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 9, 81, 24, 96, 47, 119, 61, 133, 41, 113, 19, 91, 37, 109, 16, 88, 36, 108, 58, 130, 72, 144, 69, 141, 53, 125, 31, 103, 51, 123, 29, 101, 50, 122, 67, 139, 57, 129, 35, 107, 15, 87, 5, 77)(2, 74, 6, 78, 17, 89, 38, 110, 59, 131, 68, 140, 52, 124, 30, 102, 46, 118, 28, 100, 45, 117, 65, 137, 71, 143, 56, 128, 34, 106, 14, 86, 27, 99, 10, 82, 26, 98, 48, 120, 63, 135, 43, 115, 21, 93, 7, 79)(4, 76, 11, 83, 25, 97, 49, 121, 66, 138, 55, 127, 33, 105, 13, 85, 23, 95, 8, 80, 22, 94, 44, 116, 64, 136, 62, 134, 42, 114, 20, 92, 40, 112, 18, 90, 39, 111, 60, 132, 70, 142, 54, 126, 32, 104, 12, 84)
	L = (1, 74)(2, 76)(3, 80)(4, 73)(5, 85)(6, 88)(7, 91)(8, 82)(9, 89)(10, 75)(11, 100)(12, 102)(13, 86)(14, 77)(15, 93)(16, 90)(17, 97)(18, 78)(19, 92)(20, 79)(21, 104)(22, 108)(23, 109)(24, 116)(25, 81)(26, 111)(27, 112)(28, 101)(29, 83)(30, 103)(31, 84)(32, 87)(33, 113)(34, 114)(35, 127)(36, 117)(37, 118)(38, 130)(39, 122)(40, 123)(41, 124)(42, 125)(43, 133)(44, 120)(45, 94)(46, 95)(47, 131)(48, 96)(49, 137)(50, 98)(51, 99)(52, 105)(53, 106)(54, 140)(55, 128)(56, 107)(57, 135)(58, 132)(59, 138)(60, 110)(61, 134)(62, 115)(63, 142)(64, 144)(65, 139)(66, 119)(67, 121)(68, 141)(69, 126)(70, 129)(71, 136)(72, 143)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1403
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 27
	degree seq :: [ 48^3 ]

E22.1406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y3^-1, Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^24, 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 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 6, 78)(5, 77, 10, 82, 7, 79)(9, 81, 12, 84, 14, 86)(11, 83, 13, 85, 16, 88)(15, 87, 20, 92, 18, 90)(17, 89, 22, 94, 19, 91)(21, 93, 24, 96, 26, 98)(23, 95, 25, 97, 28, 100)(27, 99, 32, 104, 30, 102)(29, 101, 34, 106, 31, 103)(33, 105, 36, 108, 38, 110)(35, 107, 37, 109, 40, 112)(39, 111, 44, 116, 42, 114)(41, 113, 46, 118, 43, 115)(45, 117, 48, 120, 50, 122)(47, 119, 49, 121, 52, 124)(51, 123, 56, 128, 54, 126)(53, 125, 58, 130, 55, 127)(57, 129, 60, 132, 62, 134)(59, 131, 61, 133, 64, 136)(63, 135, 68, 140, 66, 138)(65, 137, 70, 142, 67, 139)(69, 141, 71, 143, 72, 144)(145, 217, 147, 219, 153, 225, 159, 231, 165, 237, 171, 243, 177, 249, 183, 255, 189, 261, 195, 267, 201, 273, 207, 279, 213, 285, 209, 281, 203, 275, 197, 269, 191, 263, 185, 257, 179, 251, 173, 245, 167, 239, 161, 233, 155, 227, 149, 221)(146, 218, 150, 222, 156, 228, 162, 234, 168, 240, 174, 246, 180, 252, 186, 258, 192, 264, 198, 270, 204, 276, 210, 282, 215, 287, 211, 283, 205, 277, 199, 271, 193, 265, 187, 259, 181, 253, 175, 247, 169, 241, 163, 235, 157, 229, 151, 223)(148, 220, 152, 224, 158, 230, 164, 236, 170, 242, 176, 248, 182, 254, 188, 260, 194, 266, 200, 272, 206, 278, 212, 284, 216, 288, 214, 286, 208, 280, 202, 274, 196, 268, 190, 262, 184, 256, 178, 250, 172, 244, 166, 238, 160, 232, 154, 226)
	L = (1, 148)(2, 145)(3, 150)(4, 146)(5, 151)(6, 152)(7, 154)(8, 147)(9, 158)(10, 149)(11, 160)(12, 153)(13, 155)(14, 156)(15, 162)(16, 157)(17, 163)(18, 164)(19, 166)(20, 159)(21, 170)(22, 161)(23, 172)(24, 165)(25, 167)(26, 168)(27, 174)(28, 169)(29, 175)(30, 176)(31, 178)(32, 171)(33, 182)(34, 173)(35, 184)(36, 177)(37, 179)(38, 180)(39, 186)(40, 181)(41, 187)(42, 188)(43, 190)(44, 183)(45, 194)(46, 185)(47, 196)(48, 189)(49, 191)(50, 192)(51, 198)(52, 193)(53, 199)(54, 200)(55, 202)(56, 195)(57, 206)(58, 197)(59, 208)(60, 201)(61, 203)(62, 204)(63, 210)(64, 205)(65, 211)(66, 212)(67, 214)(68, 207)(69, 216)(70, 209)(71, 213)(72, 215)(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, 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 E22.1408
Graph:: bipartite
	v = 27 e = 144 f = 75
	degree seq :: [ 6^24, 48^3 ]

E22.1407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, Y3 * Y1, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3, Y2 * Y1^-1 * Y2^7 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 8, 80, 10, 82)(5, 77, 13, 85, 14, 86)(6, 78, 16, 88, 18, 90)(7, 79, 19, 91, 20, 92)(9, 81, 17, 89, 25, 97)(11, 83, 28, 100, 29, 101)(12, 84, 30, 102, 31, 103)(15, 87, 21, 93, 32, 104)(22, 94, 36, 108, 45, 117)(23, 95, 37, 109, 46, 118)(24, 96, 44, 116, 48, 120)(26, 98, 39, 111, 50, 122)(27, 99, 40, 112, 51, 123)(33, 105, 41, 113, 52, 124)(34, 106, 42, 114, 53, 125)(35, 107, 55, 127, 56, 128)(38, 110, 58, 130, 60, 132)(43, 115, 61, 133, 62, 134)(47, 119, 59, 131, 66, 138)(49, 121, 65, 137, 67, 139)(54, 126, 68, 140, 69, 141)(57, 129, 63, 135, 70, 142)(64, 136, 72, 144, 71, 143)(145, 217, 147, 219, 153, 225, 168, 240, 191, 263, 205, 277, 185, 257, 163, 235, 181, 253, 160, 232, 180, 252, 202, 274, 216, 288, 213, 285, 197, 269, 175, 247, 195, 267, 173, 245, 194, 266, 211, 283, 201, 273, 179, 251, 159, 231, 149, 221)(146, 218, 150, 222, 161, 233, 182, 254, 203, 275, 212, 284, 196, 268, 174, 246, 190, 262, 172, 244, 189, 261, 209, 281, 215, 287, 200, 272, 178, 250, 158, 230, 171, 243, 154, 226, 170, 242, 192, 264, 207, 279, 187, 259, 165, 237, 151, 223)(148, 220, 155, 227, 169, 241, 193, 265, 210, 282, 199, 271, 177, 249, 157, 229, 167, 239, 152, 224, 166, 238, 188, 260, 208, 280, 206, 278, 186, 258, 164, 236, 184, 256, 162, 234, 183, 255, 204, 276, 214, 286, 198, 270, 176, 248, 156, 228)
	L = (1, 148)(2, 145)(3, 154)(4, 146)(5, 158)(6, 162)(7, 164)(8, 147)(9, 169)(10, 152)(11, 173)(12, 175)(13, 149)(14, 157)(15, 176)(16, 150)(17, 153)(18, 160)(19, 151)(20, 163)(21, 159)(22, 189)(23, 190)(24, 192)(25, 161)(26, 194)(27, 195)(28, 155)(29, 172)(30, 156)(31, 174)(32, 165)(33, 196)(34, 197)(35, 200)(36, 166)(37, 167)(38, 204)(39, 170)(40, 171)(41, 177)(42, 178)(43, 206)(44, 168)(45, 180)(46, 181)(47, 210)(48, 188)(49, 211)(50, 183)(51, 184)(52, 185)(53, 186)(54, 213)(55, 179)(56, 199)(57, 214)(58, 182)(59, 191)(60, 202)(61, 187)(62, 205)(63, 201)(64, 215)(65, 193)(66, 203)(67, 209)(68, 198)(69, 212)(70, 207)(71, 216)(72, 208)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 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 E22.1409
Graph:: bipartite
	v = 27 e = 144 f = 75
	degree seq :: [ 6^24, 48^3 ]

E22.1408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 4, 76)(3, 75, 8, 80, 13, 85, 20, 92, 25, 97, 32, 104, 37, 109, 44, 116, 49, 121, 56, 128, 61, 133, 68, 140, 71, 143, 69, 141, 63, 135, 57, 129, 51, 123, 45, 117, 39, 111, 33, 105, 27, 99, 21, 93, 15, 87, 9, 81)(5, 77, 7, 79, 14, 86, 19, 91, 26, 98, 31, 103, 38, 110, 43, 115, 50, 122, 55, 127, 62, 134, 67, 139, 72, 144, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 154)(5, 145)(6, 157)(7, 152)(8, 146)(9, 148)(10, 153)(11, 159)(12, 163)(13, 158)(14, 150)(15, 160)(16, 155)(17, 166)(18, 169)(19, 164)(20, 156)(21, 161)(22, 165)(23, 171)(24, 175)(25, 170)(26, 162)(27, 172)(28, 167)(29, 178)(30, 181)(31, 176)(32, 168)(33, 173)(34, 177)(35, 183)(36, 187)(37, 182)(38, 174)(39, 184)(40, 179)(41, 190)(42, 193)(43, 188)(44, 180)(45, 185)(46, 189)(47, 195)(48, 199)(49, 194)(50, 186)(51, 196)(52, 191)(53, 202)(54, 205)(55, 200)(56, 192)(57, 197)(58, 201)(59, 207)(60, 211)(61, 206)(62, 198)(63, 208)(64, 203)(65, 214)(66, 215)(67, 212)(68, 204)(69, 209)(70, 213)(71, 216)(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) :: { ( 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 E22.1406
Graph:: simple bipartite
	v = 75 e = 144 f = 27
	degree seq :: [ 2^72, 48^3 ]

E22.1409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C3 : C8) (small group id <72, 12>)
Aut   = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y1^-4 * Y3 * Y1^-3 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^15, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * 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 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 16, 88, 36, 108, 58, 130, 49, 121, 25, 97, 43, 115, 23, 95, 41, 113, 63, 135, 72, 144, 71, 143, 57, 129, 35, 107, 48, 120, 33, 105, 46, 118, 66, 138, 54, 126, 29, 101, 12, 84, 4, 76)(3, 75, 9, 81, 17, 89, 39, 111, 59, 131, 68, 140, 53, 125, 34, 106, 44, 116, 32, 104, 42, 114, 65, 137, 70, 142, 55, 127, 31, 103, 13, 85, 22, 94, 8, 80, 21, 93, 38, 110, 62, 134, 50, 122, 26, 98, 10, 82)(5, 77, 14, 86, 18, 90, 40, 112, 60, 132, 52, 124, 28, 100, 11, 83, 20, 92, 7, 79, 19, 91, 37, 109, 61, 133, 67, 139, 51, 123, 27, 99, 47, 119, 24, 96, 45, 117, 64, 136, 69, 141, 56, 128, 30, 102, 15, 87)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 155)(5, 145)(6, 161)(7, 152)(8, 146)(9, 167)(10, 169)(11, 157)(12, 170)(13, 148)(14, 176)(15, 178)(16, 181)(17, 162)(18, 150)(19, 185)(20, 187)(21, 189)(22, 191)(23, 168)(24, 153)(25, 171)(26, 174)(27, 154)(28, 193)(29, 196)(30, 156)(31, 195)(32, 177)(33, 158)(34, 179)(35, 159)(36, 203)(37, 182)(38, 160)(39, 207)(40, 209)(41, 186)(42, 163)(43, 188)(44, 164)(45, 190)(46, 165)(47, 192)(48, 166)(49, 197)(50, 202)(51, 201)(52, 199)(53, 172)(54, 206)(55, 173)(56, 212)(57, 175)(58, 211)(59, 204)(60, 180)(61, 216)(62, 213)(63, 208)(64, 183)(65, 210)(66, 184)(67, 194)(68, 215)(69, 198)(70, 205)(71, 200)(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) :: { ( 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 E22.1407
Graph:: simple bipartite
	v = 75 e = 144 f = 27
	degree seq :: [ 2^72, 48^3 ]

E22.1410 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 24, 24})
Quotient :: edge
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^24 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 56, 62, 68, 65, 59, 53, 47, 41, 35, 29, 23, 17, 11, 5)(2, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 71, 67, 61, 55, 49, 43, 37, 31, 25, 19, 13, 7)(4, 9, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 72, 70, 64, 58, 52, 46, 40, 34, 28, 22, 16, 10)(73, 74, 76)(75, 78, 81)(77, 79, 82)(80, 84, 87)(83, 85, 88)(86, 90, 93)(89, 91, 94)(92, 96, 99)(95, 97, 100)(98, 102, 105)(101, 103, 106)(104, 108, 111)(107, 109, 112)(110, 114, 117)(113, 115, 118)(116, 120, 123)(119, 121, 124)(122, 126, 129)(125, 127, 130)(128, 132, 135)(131, 133, 136)(134, 138, 141)(137, 139, 142)(140, 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) :: { ( 48^3 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1411
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 72 f = 3
	degree seq :: [ 3^24, 24^3 ]

E22.1411 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 24, 24})
Quotient :: loop
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T2^24 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83, 5, 77)(2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 71, 143, 67, 139, 61, 133, 55, 127, 49, 121, 43, 115, 37, 109, 31, 103, 25, 97, 19, 91, 13, 85, 7, 79)(4, 76, 9, 81, 15, 87, 21, 93, 27, 99, 33, 105, 39, 111, 45, 117, 51, 123, 57, 129, 63, 135, 69, 141, 72, 144, 70, 142, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82)
	L = (1, 74)(2, 76)(3, 78)(4, 73)(5, 79)(6, 81)(7, 82)(8, 84)(9, 75)(10, 77)(11, 85)(12, 87)(13, 88)(14, 90)(15, 80)(16, 83)(17, 91)(18, 93)(19, 94)(20, 96)(21, 86)(22, 89)(23, 97)(24, 99)(25, 100)(26, 102)(27, 92)(28, 95)(29, 103)(30, 105)(31, 106)(32, 108)(33, 98)(34, 101)(35, 109)(36, 111)(37, 112)(38, 114)(39, 104)(40, 107)(41, 115)(42, 117)(43, 118)(44, 120)(45, 110)(46, 113)(47, 121)(48, 123)(49, 124)(50, 126)(51, 116)(52, 119)(53, 127)(54, 129)(55, 130)(56, 132)(57, 122)(58, 125)(59, 133)(60, 135)(61, 136)(62, 138)(63, 128)(64, 131)(65, 139)(66, 141)(67, 142)(68, 143)(69, 134)(70, 137)(71, 144)(72, 140)
	local type(s) :: { ( 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24, 3, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1410
Transitivity :: ET+ VT+ AT
Graph::
	v = 3 e = 72 f = 27
	degree seq :: [ 48^3 ]

E22.1412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1, Y2^-1), Y3^24, Y2^24 ]
Map::
	R = (1, 73, 2, 74, 4, 76)(3, 75, 6, 78, 9, 81)(5, 77, 7, 79, 10, 82)(8, 80, 12, 84, 15, 87)(11, 83, 13, 85, 16, 88)(14, 86, 18, 90, 21, 93)(17, 89, 19, 91, 22, 94)(20, 92, 24, 96, 27, 99)(23, 95, 25, 97, 28, 100)(26, 98, 30, 102, 33, 105)(29, 101, 31, 103, 34, 106)(32, 104, 36, 108, 39, 111)(35, 107, 37, 109, 40, 112)(38, 110, 42, 114, 45, 117)(41, 113, 43, 115, 46, 118)(44, 116, 48, 120, 51, 123)(47, 119, 49, 121, 52, 124)(50, 122, 54, 126, 57, 129)(53, 125, 55, 127, 58, 130)(56, 128, 60, 132, 63, 135)(59, 131, 61, 133, 64, 136)(62, 134, 66, 138, 69, 141)(65, 137, 67, 139, 70, 142)(68, 140, 71, 143, 72, 144)(145, 217, 147, 219, 152, 224, 158, 230, 164, 236, 170, 242, 176, 248, 182, 254, 188, 260, 194, 266, 200, 272, 206, 278, 212, 284, 209, 281, 203, 275, 197, 269, 191, 263, 185, 257, 179, 251, 173, 245, 167, 239, 161, 233, 155, 227, 149, 221)(146, 218, 150, 222, 156, 228, 162, 234, 168, 240, 174, 246, 180, 252, 186, 258, 192, 264, 198, 270, 204, 276, 210, 282, 215, 287, 211, 283, 205, 277, 199, 271, 193, 265, 187, 259, 181, 253, 175, 247, 169, 241, 163, 235, 157, 229, 151, 223)(148, 220, 153, 225, 159, 231, 165, 237, 171, 243, 177, 249, 183, 255, 189, 261, 195, 267, 201, 273, 207, 279, 213, 285, 216, 288, 214, 286, 208, 280, 202, 274, 196, 268, 190, 262, 184, 256, 178, 250, 172, 244, 166, 238, 160, 232, 154, 226)
	L = (1, 148)(2, 145)(3, 153)(4, 146)(5, 154)(6, 147)(7, 149)(8, 159)(9, 150)(10, 151)(11, 160)(12, 152)(13, 155)(14, 165)(15, 156)(16, 157)(17, 166)(18, 158)(19, 161)(20, 171)(21, 162)(22, 163)(23, 172)(24, 164)(25, 167)(26, 177)(27, 168)(28, 169)(29, 178)(30, 170)(31, 173)(32, 183)(33, 174)(34, 175)(35, 184)(36, 176)(37, 179)(38, 189)(39, 180)(40, 181)(41, 190)(42, 182)(43, 185)(44, 195)(45, 186)(46, 187)(47, 196)(48, 188)(49, 191)(50, 201)(51, 192)(52, 193)(53, 202)(54, 194)(55, 197)(56, 207)(57, 198)(58, 199)(59, 208)(60, 200)(61, 203)(62, 213)(63, 204)(64, 205)(65, 214)(66, 206)(67, 209)(68, 216)(69, 210)(70, 211)(71, 212)(72, 215)(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, 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 E22.1413
Graph:: bipartite
	v = 27 e = 144 f = 75
	degree seq :: [ 6^24, 48^3 ]

E22.1413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C3 (small group id <72, 14>)
Aut   = (C24 x C3) : C2 (small group id <144, 88>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-24, Y1^24 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 12, 84, 18, 90, 24, 96, 30, 102, 36, 108, 42, 114, 48, 120, 54, 126, 60, 132, 66, 138, 64, 136, 58, 130, 52, 124, 46, 118, 40, 112, 34, 106, 28, 100, 22, 94, 16, 88, 10, 82, 4, 76)(3, 75, 7, 79, 13, 85, 19, 91, 25, 97, 31, 103, 37, 109, 43, 115, 49, 121, 55, 127, 61, 133, 67, 139, 71, 143, 69, 141, 63, 135, 57, 129, 51, 123, 45, 117, 39, 111, 33, 105, 27, 99, 21, 93, 15, 87, 9, 81)(5, 77, 8, 80, 14, 86, 20, 92, 26, 98, 32, 104, 38, 110, 44, 116, 50, 122, 56, 128, 62, 134, 68, 140, 72, 144, 70, 142, 65, 137, 59, 131, 53, 125, 47, 119, 41, 113, 35, 107, 29, 101, 23, 95, 17, 89, 11, 83)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 151)(3, 149)(4, 153)(5, 145)(6, 157)(7, 152)(8, 146)(9, 155)(10, 159)(11, 148)(12, 163)(13, 158)(14, 150)(15, 161)(16, 165)(17, 154)(18, 169)(19, 164)(20, 156)(21, 167)(22, 171)(23, 160)(24, 175)(25, 170)(26, 162)(27, 173)(28, 177)(29, 166)(30, 181)(31, 176)(32, 168)(33, 179)(34, 183)(35, 172)(36, 187)(37, 182)(38, 174)(39, 185)(40, 189)(41, 178)(42, 193)(43, 188)(44, 180)(45, 191)(46, 195)(47, 184)(48, 199)(49, 194)(50, 186)(51, 197)(52, 201)(53, 190)(54, 205)(55, 200)(56, 192)(57, 203)(58, 207)(59, 196)(60, 211)(61, 206)(62, 198)(63, 209)(64, 213)(65, 202)(66, 215)(67, 212)(68, 204)(69, 214)(70, 208)(71, 216)(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) :: { ( 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 E22.1412
Graph:: simple bipartite
	v = 75 e = 144 f = 27
	degree seq :: [ 2^72, 48^3 ]

E22.1414 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 10})
Quotient :: edge
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, (T2 * T1^-1)^10 ]
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, 73, 67, 76, 66, 75, 68, 74)(69, 77, 71, 80, 70, 79, 72, 78)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 104, 96, 100)(105, 113, 107, 114)(106, 115, 108, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 129, 123, 130)(122, 131, 124, 132)(125, 133, 127, 134)(126, 135, 128, 136)(137, 145, 139, 146)(138, 147, 140, 148)(141, 149, 143, 150)(142, 151, 144, 152)(153, 160, 155, 158)(154, 159, 156, 157)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^4 ), ( 20^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1418
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 80 f = 8
	degree seq :: [ 4^20, 8^10 ]

E22.1415 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 10})
Quotient :: edge
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, T2^10, T2^-4 * T1^2 * T2^4 * T1^-2 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 46, 62, 52, 35, 17, 5)(2, 7, 22, 40, 56, 71, 60, 44, 26, 8)(4, 12, 32, 49, 65, 77, 63, 48, 29, 14)(6, 19, 37, 53, 68, 78, 69, 54, 38, 20)(9, 18, 15, 33, 50, 66, 75, 61, 45, 27)(11, 30, 16, 34, 51, 67, 76, 64, 47, 31)(13, 25, 43, 59, 74, 80, 72, 57, 41, 23)(21, 36, 24, 42, 58, 73, 79, 70, 55, 39)(81, 82, 86, 98, 116, 110, 93, 84)(83, 89, 105, 88, 104, 94, 99, 91)(85, 95, 103, 87, 101, 92, 100, 96)(90, 106, 117, 107, 122, 111, 123, 109)(97, 102, 118, 113, 119, 114, 121, 112)(108, 125, 139, 124, 138, 128, 133, 127)(115, 130, 137, 120, 135, 129, 134, 131)(126, 140, 148, 141, 153, 144, 154, 143)(132, 136, 149, 146, 150, 147, 152, 145)(142, 155, 160, 151, 159, 157, 158, 156)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^8 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1419
Transitivity :: ET+
Graph:: simple bipartite
	v = 18 e = 80 f = 20
	degree seq :: [ 8^10, 10^8 ]

E22.1416 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 10})
Quotient :: edge
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T1^-1 * T2^-2 * T1 * T2^-2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T1^10, (T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 5)(2, 7, 21, 8)(4, 12, 28, 14)(6, 18, 38, 19)(9, 26, 15, 27)(11, 29, 16, 30)(13, 25, 46, 33)(17, 36, 56, 37)(20, 41, 23, 42)(22, 43, 24, 44)(31, 48, 34, 47)(32, 49, 64, 51)(35, 54, 70, 55)(39, 59, 40, 60)(45, 62, 52, 63)(50, 61, 75, 66)(53, 68, 78, 69)(57, 73, 58, 74)(65, 77, 67, 76)(71, 79, 72, 80)(81, 82, 86, 97, 115, 133, 130, 112, 93, 84)(83, 89, 105, 125, 141, 151, 134, 119, 98, 91)(85, 95, 113, 132, 146, 152, 135, 120, 99, 96)(87, 100, 92, 111, 129, 145, 148, 137, 116, 102)(88, 103, 94, 114, 131, 147, 149, 138, 117, 104)(90, 101, 118, 136, 150, 158, 155, 144, 126, 108)(106, 122, 109, 124, 139, 154, 159, 156, 142, 127)(107, 121, 110, 123, 140, 153, 160, 157, 143, 128)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16^4 ), ( 16^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1417
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 80 f = 10
	degree seq :: [ 4^20, 10^8 ]

E22.1417 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 10})
Quotient :: loop
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1, (T2 * T1^-1)^10 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 18, 98, 6, 86, 17, 97, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 13, 93, 4, 84, 12, 92, 24, 104, 8, 88)(9, 89, 25, 105, 14, 94, 28, 108, 11, 91, 27, 107, 15, 95, 26, 106)(19, 99, 29, 109, 22, 102, 32, 112, 21, 101, 31, 111, 23, 103, 30, 110)(33, 113, 41, 121, 35, 115, 44, 124, 34, 114, 43, 123, 36, 116, 42, 122)(37, 117, 45, 125, 39, 119, 48, 128, 38, 118, 47, 127, 40, 120, 46, 126)(49, 129, 57, 137, 51, 131, 60, 140, 50, 130, 59, 139, 52, 132, 58, 138)(53, 133, 61, 141, 55, 135, 64, 144, 54, 134, 63, 143, 56, 136, 62, 142)(65, 145, 73, 153, 67, 147, 76, 156, 66, 146, 75, 155, 68, 148, 74, 154)(69, 149, 77, 157, 71, 151, 80, 160, 70, 150, 79, 159, 72, 152, 78, 158)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 97)(10, 104)(11, 83)(12, 101)(13, 103)(14, 98)(15, 85)(16, 100)(17, 91)(18, 95)(19, 92)(20, 90)(21, 87)(22, 93)(23, 88)(24, 96)(25, 113)(26, 115)(27, 114)(28, 116)(29, 117)(30, 119)(31, 118)(32, 120)(33, 107)(34, 105)(35, 108)(36, 106)(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, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1416
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 10 e = 80 f = 28
	degree seq :: [ 16^10 ]

E22.1418 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 10})
Quotient :: loop
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T1^-2 * T2 * T1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T1^-1 * T2^-2 * T1 * T2^-2, (T2 * T1^-1)^4, T2^10, T2^-4 * T1^2 * T2^4 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 28, 108, 46, 126, 62, 142, 52, 132, 35, 115, 17, 97, 5, 85)(2, 82, 7, 87, 22, 102, 40, 120, 56, 136, 71, 151, 60, 140, 44, 124, 26, 106, 8, 88)(4, 84, 12, 92, 32, 112, 49, 129, 65, 145, 77, 157, 63, 143, 48, 128, 29, 109, 14, 94)(6, 86, 19, 99, 37, 117, 53, 133, 68, 148, 78, 158, 69, 149, 54, 134, 38, 118, 20, 100)(9, 89, 18, 98, 15, 95, 33, 113, 50, 130, 66, 146, 75, 155, 61, 141, 45, 125, 27, 107)(11, 91, 30, 110, 16, 96, 34, 114, 51, 131, 67, 147, 76, 156, 64, 144, 47, 127, 31, 111)(13, 93, 25, 105, 43, 123, 59, 139, 74, 154, 80, 160, 72, 152, 57, 137, 41, 121, 23, 103)(21, 101, 36, 116, 24, 104, 42, 122, 58, 138, 73, 153, 79, 159, 70, 150, 55, 135, 39, 119)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 104)(9, 105)(10, 106)(11, 83)(12, 100)(13, 84)(14, 99)(15, 103)(16, 85)(17, 102)(18, 116)(19, 91)(20, 96)(21, 92)(22, 118)(23, 87)(24, 94)(25, 88)(26, 117)(27, 122)(28, 125)(29, 90)(30, 93)(31, 123)(32, 97)(33, 119)(34, 121)(35, 130)(36, 110)(37, 107)(38, 113)(39, 114)(40, 135)(41, 112)(42, 111)(43, 109)(44, 138)(45, 139)(46, 140)(47, 108)(48, 133)(49, 134)(50, 137)(51, 115)(52, 136)(53, 127)(54, 131)(55, 129)(56, 149)(57, 120)(58, 128)(59, 124)(60, 148)(61, 153)(62, 155)(63, 126)(64, 154)(65, 132)(66, 150)(67, 152)(68, 141)(69, 146)(70, 147)(71, 159)(72, 145)(73, 144)(74, 143)(75, 160)(76, 142)(77, 158)(78, 156)(79, 157)(80, 151)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1414
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 80 f = 30
	degree seq :: [ 20^8 ]

E22.1419 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 10})
Quotient :: loop
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T1^-1 * T2^-2 * T1 * T2^-2, T2 * T1^-2 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T1^10, (T2 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 21, 101, 8, 88)(4, 84, 12, 92, 28, 108, 14, 94)(6, 86, 18, 98, 38, 118, 19, 99)(9, 89, 26, 106, 15, 95, 27, 107)(11, 91, 29, 109, 16, 96, 30, 110)(13, 93, 25, 105, 46, 126, 33, 113)(17, 97, 36, 116, 56, 136, 37, 117)(20, 100, 41, 121, 23, 103, 42, 122)(22, 102, 43, 123, 24, 104, 44, 124)(31, 111, 48, 128, 34, 114, 47, 127)(32, 112, 49, 129, 64, 144, 51, 131)(35, 115, 54, 134, 70, 150, 55, 135)(39, 119, 59, 139, 40, 120, 60, 140)(45, 125, 62, 142, 52, 132, 63, 143)(50, 130, 61, 141, 75, 155, 66, 146)(53, 133, 68, 148, 78, 158, 69, 149)(57, 137, 73, 153, 58, 138, 74, 154)(65, 145, 77, 157, 67, 147, 76, 156)(71, 151, 79, 159, 72, 152, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 97)(7, 100)(8, 103)(9, 105)(10, 101)(11, 83)(12, 111)(13, 84)(14, 114)(15, 113)(16, 85)(17, 115)(18, 91)(19, 96)(20, 92)(21, 118)(22, 87)(23, 94)(24, 88)(25, 125)(26, 122)(27, 121)(28, 90)(29, 124)(30, 123)(31, 129)(32, 93)(33, 132)(34, 131)(35, 133)(36, 102)(37, 104)(38, 136)(39, 98)(40, 99)(41, 110)(42, 109)(43, 140)(44, 139)(45, 141)(46, 108)(47, 106)(48, 107)(49, 145)(50, 112)(51, 147)(52, 146)(53, 130)(54, 119)(55, 120)(56, 150)(57, 116)(58, 117)(59, 154)(60, 153)(61, 151)(62, 127)(63, 128)(64, 126)(65, 148)(66, 152)(67, 149)(68, 137)(69, 138)(70, 158)(71, 134)(72, 135)(73, 160)(74, 159)(75, 144)(76, 142)(77, 143)(78, 155)(79, 156)(80, 157)
	local type(s) :: { ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1415
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 18
	degree seq :: [ 8^20 ]

E22.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 10})
Quotient :: dipole
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-2 * Y3 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2^2 * Y3 * Y2^2 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2^4 * Y1^-1, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^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, 16, 96, 20, 100)(25, 105, 33, 113, 27, 107, 34, 114)(26, 106, 35, 115, 28, 108, 36, 116)(29, 109, 37, 117, 31, 111, 38, 118)(30, 110, 39, 119, 32, 112, 40, 120)(41, 121, 49, 129, 43, 123, 50, 130)(42, 122, 51, 131, 44, 124, 52, 132)(45, 125, 53, 133, 47, 127, 54, 134)(46, 126, 55, 135, 48, 128, 56, 136)(57, 137, 65, 145, 59, 139, 66, 146)(58, 138, 67, 147, 60, 140, 68, 148)(61, 141, 69, 149, 63, 143, 70, 150)(62, 142, 71, 151, 64, 144, 72, 152)(73, 153, 80, 160, 75, 155, 78, 158)(74, 154, 79, 159, 76, 156, 77, 157)(161, 241, 163, 243, 170, 250, 178, 258, 166, 246, 177, 257, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 173, 253, 164, 244, 172, 252, 184, 264, 168, 248)(169, 249, 185, 265, 174, 254, 188, 268, 171, 251, 187, 267, 175, 255, 186, 266)(179, 259, 189, 269, 182, 262, 192, 272, 181, 261, 191, 271, 183, 263, 190, 270)(193, 273, 201, 281, 195, 275, 204, 284, 194, 274, 203, 283, 196, 276, 202, 282)(197, 277, 205, 285, 199, 279, 208, 288, 198, 278, 207, 287, 200, 280, 206, 286)(209, 289, 217, 297, 211, 291, 220, 300, 210, 290, 219, 299, 212, 292, 218, 298)(213, 293, 221, 301, 215, 295, 224, 304, 214, 294, 223, 303, 216, 296, 222, 302)(225, 305, 233, 313, 227, 307, 236, 316, 226, 306, 235, 315, 228, 308, 234, 314)(229, 309, 237, 317, 231, 311, 240, 320, 230, 310, 239, 319, 232, 312, 238, 318)
	L = (1, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 181)(8, 183)(9, 163)(10, 180)(11, 177)(12, 179)(13, 182)(14, 165)(15, 178)(16, 184)(17, 169)(18, 174)(19, 167)(20, 176)(21, 172)(22, 168)(23, 173)(24, 170)(25, 194)(26, 196)(27, 193)(28, 195)(29, 198)(30, 200)(31, 197)(32, 199)(33, 185)(34, 187)(35, 186)(36, 188)(37, 189)(38, 191)(39, 190)(40, 192)(41, 210)(42, 212)(43, 209)(44, 211)(45, 214)(46, 216)(47, 213)(48, 215)(49, 201)(50, 203)(51, 202)(52, 204)(53, 205)(54, 207)(55, 206)(56, 208)(57, 226)(58, 228)(59, 225)(60, 227)(61, 230)(62, 232)(63, 229)(64, 231)(65, 217)(66, 219)(67, 218)(68, 220)(69, 221)(70, 223)(71, 222)(72, 224)(73, 238)(74, 237)(75, 240)(76, 239)(77, 236)(78, 235)(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) :: { ( 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 E22.1423
Graph:: bipartite
	v = 30 e = 160 f = 88
	degree seq :: [ 8^20, 16^10 ]

E22.1421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 10})
Quotient :: dipole
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2 * Y1^3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^10 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 36, 116, 30, 110, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 8, 88, 24, 104, 14, 94, 19, 99, 11, 91)(5, 85, 15, 95, 23, 103, 7, 87, 21, 101, 12, 92, 20, 100, 16, 96)(10, 90, 26, 106, 37, 117, 27, 107, 42, 122, 31, 111, 43, 123, 29, 109)(17, 97, 22, 102, 38, 118, 33, 113, 39, 119, 34, 114, 41, 121, 32, 112)(28, 108, 45, 125, 59, 139, 44, 124, 58, 138, 48, 128, 53, 133, 47, 127)(35, 115, 50, 130, 57, 137, 40, 120, 55, 135, 49, 129, 54, 134, 51, 131)(46, 126, 60, 140, 68, 148, 61, 141, 73, 153, 64, 144, 74, 154, 63, 143)(52, 132, 56, 136, 69, 149, 66, 146, 70, 150, 67, 147, 72, 152, 65, 145)(62, 142, 75, 155, 80, 160, 71, 151, 79, 159, 77, 157, 78, 158, 76, 156)(161, 241, 163, 243, 170, 250, 188, 268, 206, 286, 222, 302, 212, 292, 195, 275, 177, 257, 165, 245)(162, 242, 167, 247, 182, 262, 200, 280, 216, 296, 231, 311, 220, 300, 204, 284, 186, 266, 168, 248)(164, 244, 172, 252, 192, 272, 209, 289, 225, 305, 237, 317, 223, 303, 208, 288, 189, 269, 174, 254)(166, 246, 179, 259, 197, 277, 213, 293, 228, 308, 238, 318, 229, 309, 214, 294, 198, 278, 180, 260)(169, 249, 178, 258, 175, 255, 193, 273, 210, 290, 226, 306, 235, 315, 221, 301, 205, 285, 187, 267)(171, 251, 190, 270, 176, 256, 194, 274, 211, 291, 227, 307, 236, 316, 224, 304, 207, 287, 191, 271)(173, 253, 185, 265, 203, 283, 219, 299, 234, 314, 240, 320, 232, 312, 217, 297, 201, 281, 183, 263)(181, 261, 196, 276, 184, 264, 202, 282, 218, 298, 233, 313, 239, 319, 230, 310, 215, 295, 199, 279)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 179)(7, 182)(8, 162)(9, 178)(10, 188)(11, 190)(12, 192)(13, 185)(14, 164)(15, 193)(16, 194)(17, 165)(18, 175)(19, 197)(20, 166)(21, 196)(22, 200)(23, 173)(24, 202)(25, 203)(26, 168)(27, 169)(28, 206)(29, 174)(30, 176)(31, 171)(32, 209)(33, 210)(34, 211)(35, 177)(36, 184)(37, 213)(38, 180)(39, 181)(40, 216)(41, 183)(42, 218)(43, 219)(44, 186)(45, 187)(46, 222)(47, 191)(48, 189)(49, 225)(50, 226)(51, 227)(52, 195)(53, 228)(54, 198)(55, 199)(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, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1422
Graph:: bipartite
	v = 18 e = 160 f = 100
	degree seq :: [ 16^10, 20^8 ]

E22.1422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 10})
Quotient :: dipole
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
Map::
	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, 200, 280, 189, 269, 197, 277)(186, 266, 203, 283, 190, 270, 202, 282)(187, 267, 205, 285, 213, 293, 207, 287)(192, 272, 201, 281, 193, 273, 198, 278)(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, 234, 314, 224, 304, 233, 313)(222, 302, 235, 315, 238, 318, 236, 316)(226, 306, 232, 312, 227, 307, 230, 310)(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) :: { ( 16, 20 ), ( 16, 20, 16, 20, 16, 20, 16, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1421
Graph:: simple bipartite
	v = 100 e = 160 f = 18
	degree seq :: [ 2^80, 8^20 ]

E22.1423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 10})
Quotient :: dipole
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^10, (Y1 * Y3 * Y1 * Y3^-1)^4 ]
Map:: polytopal
	R = (1, 81, 2, 82, 6, 86, 17, 97, 35, 115, 53, 133, 50, 130, 32, 112, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 45, 125, 61, 141, 71, 151, 54, 134, 39, 119, 18, 98, 11, 91)(5, 85, 15, 95, 33, 113, 52, 132, 66, 146, 72, 152, 55, 135, 40, 120, 19, 99, 16, 96)(7, 87, 20, 100, 12, 92, 31, 111, 49, 129, 65, 145, 68, 148, 57, 137, 36, 116, 22, 102)(8, 88, 23, 103, 14, 94, 34, 114, 51, 131, 67, 147, 69, 149, 58, 138, 37, 117, 24, 104)(10, 90, 21, 101, 38, 118, 56, 136, 70, 150, 78, 158, 75, 155, 64, 144, 46, 126, 28, 108)(26, 106, 42, 122, 29, 109, 44, 124, 59, 139, 74, 154, 79, 159, 76, 156, 62, 142, 47, 127)(27, 107, 41, 121, 30, 110, 43, 123, 60, 140, 73, 153, 80, 160, 77, 157, 63, 143, 48, 128)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 178)(7, 181)(8, 162)(9, 186)(10, 165)(11, 189)(12, 188)(13, 185)(14, 164)(15, 187)(16, 190)(17, 196)(18, 198)(19, 166)(20, 201)(21, 168)(22, 203)(23, 202)(24, 204)(25, 206)(26, 175)(27, 169)(28, 174)(29, 176)(30, 171)(31, 208)(32, 209)(33, 173)(34, 207)(35, 214)(36, 216)(37, 177)(38, 179)(39, 219)(40, 220)(41, 183)(42, 180)(43, 184)(44, 182)(45, 222)(46, 193)(47, 191)(48, 194)(49, 224)(50, 221)(51, 192)(52, 223)(53, 228)(54, 230)(55, 195)(56, 197)(57, 233)(58, 234)(59, 200)(60, 199)(61, 235)(62, 212)(63, 205)(64, 211)(65, 237)(66, 210)(67, 236)(68, 238)(69, 213)(70, 215)(71, 239)(72, 240)(73, 218)(74, 217)(75, 226)(76, 225)(77, 227)(78, 229)(79, 232)(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) :: { ( 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 E22.1420
Graph:: simple bipartite
	v = 88 e = 160 f = 30
	degree seq :: [ 2^80, 20^8 ]

E22.1424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 10})
Quotient :: dipole
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^4, Y1 * Y3^-2 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^10, (Y3 * Y2)^8 ]
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, 40, 120, 29, 109, 37, 117)(26, 106, 43, 123, 30, 110, 42, 122)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 41, 121, 33, 113, 38, 118)(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, 74, 154, 64, 144, 73, 153)(62, 142, 75, 155, 78, 158, 76, 156)(66, 146, 72, 152, 67, 147, 70, 150)(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, 164)(2, 161)(3, 171)(4, 166)(5, 175)(6, 162)(7, 181)(8, 183)(9, 163)(10, 188)(11, 177)(12, 179)(13, 182)(14, 165)(15, 178)(16, 191)(17, 169)(18, 174)(19, 167)(20, 176)(21, 172)(22, 168)(23, 173)(24, 170)(25, 197)(26, 202)(27, 207)(28, 195)(29, 200)(30, 203)(31, 196)(32, 198)(33, 201)(34, 211)(35, 184)(36, 180)(37, 189)(38, 193)(39, 217)(40, 185)(41, 192)(42, 190)(43, 186)(44, 219)(45, 187)(46, 223)(47, 213)(48, 218)(49, 215)(50, 194)(51, 214)(52, 225)(53, 205)(54, 210)(55, 199)(56, 212)(57, 209)(58, 204)(59, 208)(60, 206)(61, 233)(62, 236)(63, 228)(64, 234)(65, 229)(66, 230)(67, 232)(68, 220)(69, 216)(70, 227)(71, 240)(72, 226)(73, 224)(74, 221)(75, 222)(76, 238)(77, 239)(78, 235)(79, 231)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 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 E22.1425
Graph:: bipartite
	v = 28 e = 160 f = 90
	degree seq :: [ 8^20, 20^8 ]

E22.1425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 10})
Quotient :: dipole
Aut^+ = (C5 : C8) : C2 (small group id <80, 16>)
Aut   = (D8 x D10) : C2 (small group id <160, 132>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^2 * Y3 * Y1^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-2, Y3 * Y1^3 * Y3 * Y1^-1, Y3 * Y1 * Y3^-3 * Y1 * Y3 * Y1^-1 * Y3^-5 * Y1^-1, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 18, 98, 36, 116, 30, 110, 13, 93, 4, 84)(3, 83, 9, 89, 25, 105, 8, 88, 24, 104, 14, 94, 19, 99, 11, 91)(5, 85, 15, 95, 23, 103, 7, 87, 21, 101, 12, 92, 20, 100, 16, 96)(10, 90, 26, 106, 37, 117, 27, 107, 42, 122, 31, 111, 43, 123, 29, 109)(17, 97, 22, 102, 38, 118, 33, 113, 39, 119, 34, 114, 41, 121, 32, 112)(28, 108, 45, 125, 59, 139, 44, 124, 58, 138, 48, 128, 53, 133, 47, 127)(35, 115, 50, 130, 57, 137, 40, 120, 55, 135, 49, 129, 54, 134, 51, 131)(46, 126, 60, 140, 68, 148, 61, 141, 73, 153, 64, 144, 74, 154, 63, 143)(52, 132, 56, 136, 69, 149, 66, 146, 70, 150, 67, 147, 72, 152, 65, 145)(62, 142, 75, 155, 80, 160, 71, 151, 79, 159, 77, 157, 78, 158, 76, 156)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 179)(7, 182)(8, 162)(9, 178)(10, 188)(11, 190)(12, 192)(13, 185)(14, 164)(15, 193)(16, 194)(17, 165)(18, 175)(19, 197)(20, 166)(21, 196)(22, 200)(23, 173)(24, 202)(25, 203)(26, 168)(27, 169)(28, 206)(29, 174)(30, 176)(31, 171)(32, 209)(33, 210)(34, 211)(35, 177)(36, 184)(37, 213)(38, 180)(39, 181)(40, 216)(41, 183)(42, 218)(43, 219)(44, 186)(45, 187)(46, 222)(47, 191)(48, 189)(49, 225)(50, 226)(51, 227)(52, 195)(53, 228)(54, 198)(55, 199)(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, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1424
Graph:: simple bipartite
	v = 90 e = 160 f = 28
	degree seq :: [ 2^80, 16^10 ]

E22.1426 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {6, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ (X2^-1 * X1)^2, X1^6, X2^6, (X2^-1 * X1^-1 * X2^-1)^2, X2^-1 * X1^-3 * X2^2 * X1^-2 * X2^-1 * X1^-1, X2^2 * X1^3 * X2^-1 * X1^-2 * X2^-1 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 12, 4)(3, 9, 23, 46, 21, 8)(5, 11, 28, 54, 34, 14)(7, 19, 41, 73, 39, 18)(10, 26, 52, 74, 50, 25)(13, 30, 58, 81, 61, 32)(15, 33, 62, 77, 43, 20)(17, 37, 68, 51, 66, 36)(22, 45, 79, 55, 70, 38)(24, 49, 65, 40, 72, 48)(27, 44, 71, 84, 82, 53)(29, 57, 80, 47, 69, 56)(31, 35, 64, 83, 78, 60)(42, 76, 59, 67, 63, 75)(85, 87, 94, 111, 99, 89)(86, 91, 104, 128, 106, 92)(88, 95, 113, 137, 110, 97)(90, 101, 122, 155, 124, 102)(93, 108, 98, 117, 135, 109)(96, 114, 143, 166, 141, 115)(100, 119, 149, 168, 151, 120)(103, 126, 105, 129, 162, 127)(107, 131, 152, 146, 165, 132)(112, 139, 116, 136, 157, 140)(118, 133, 148, 134, 150, 147)(121, 153, 123, 156, 145, 154)(125, 158, 167, 163, 138, 159)(130, 160, 142, 161, 144, 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) :: { ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E22.1427
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 6^28 ]

E22.1427 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {6, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 1
Presentation :: [ (X2^-1 * X1)^2, X1^6, X2^6, (X2^-1 * X1^-1 * X2^-1)^2, X2^-1 * X1^-3 * X2^2 * X1^-2 * X2^-1 * X1^-1, X2^2 * X1^3 * X2^-1 * X1^-2 * X2^-1 * X1^-1, X2^2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^3 ]
Map:: polytopal non-degenerate
	R = (1, 85, 2, 86, 6, 90, 16, 100, 12, 96, 4, 88)(3, 87, 9, 93, 23, 107, 46, 130, 21, 105, 8, 92)(5, 89, 11, 95, 28, 112, 54, 138, 34, 118, 14, 98)(7, 91, 19, 103, 41, 125, 73, 157, 39, 123, 18, 102)(10, 94, 26, 110, 52, 136, 74, 158, 50, 134, 25, 109)(13, 97, 30, 114, 58, 142, 81, 165, 61, 145, 32, 116)(15, 99, 33, 117, 62, 146, 77, 161, 43, 127, 20, 104)(17, 101, 37, 121, 68, 152, 51, 135, 66, 150, 36, 120)(22, 106, 45, 129, 79, 163, 55, 139, 70, 154, 38, 122)(24, 108, 49, 133, 65, 149, 40, 124, 72, 156, 48, 132)(27, 111, 44, 128, 71, 155, 84, 168, 82, 166, 53, 137)(29, 113, 57, 141, 80, 164, 47, 131, 69, 153, 56, 140)(31, 115, 35, 119, 64, 148, 83, 167, 78, 162, 60, 144)(42, 126, 76, 160, 59, 143, 67, 151, 63, 147, 75, 159)
	L = (1, 87)(2, 91)(3, 94)(4, 95)(5, 85)(6, 101)(7, 104)(8, 86)(9, 108)(10, 111)(11, 113)(12, 114)(13, 88)(14, 117)(15, 89)(16, 119)(17, 122)(18, 90)(19, 126)(20, 128)(21, 129)(22, 92)(23, 131)(24, 98)(25, 93)(26, 97)(27, 99)(28, 139)(29, 137)(30, 143)(31, 96)(32, 136)(33, 135)(34, 133)(35, 149)(36, 100)(37, 153)(38, 155)(39, 156)(40, 102)(41, 158)(42, 105)(43, 103)(44, 106)(45, 162)(46, 160)(47, 152)(48, 107)(49, 148)(50, 150)(51, 109)(52, 157)(53, 110)(54, 159)(55, 116)(56, 112)(57, 115)(58, 161)(59, 166)(60, 164)(61, 154)(62, 165)(63, 118)(64, 134)(65, 168)(66, 147)(67, 120)(68, 146)(69, 123)(70, 121)(71, 124)(72, 145)(73, 140)(74, 167)(75, 125)(76, 142)(77, 144)(78, 127)(79, 138)(80, 130)(81, 132)(82, 141)(83, 163)(84, 151)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: chiral
Dual of E22.1426
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.1428 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X1^4, X2 * X1^-2 * X2^2, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^12 ]
Map:: non-degenerate
	R = (1, 2, 6, 4)(3, 9, 16, 11)(5, 14, 10, 15)(7, 17, 12, 18)(8, 19, 13, 20)(21, 37, 23, 38)(22, 39, 24, 40)(25, 41, 27, 42)(26, 43, 28, 44)(29, 45, 31, 46)(30, 47, 32, 48)(33, 49, 35, 50)(34, 51, 36, 52)(53, 82, 55, 84)(54, 70, 56, 72)(57, 77, 59, 79)(58, 74, 60, 76)(61, 73, 63, 75)(62, 81, 64, 83)(65, 78, 67, 80)(66, 69, 68, 71)(85, 87, 94, 90, 100, 89)(86, 91, 97, 88, 96, 92)(93, 105, 108, 95, 107, 106)(98, 109, 112, 99, 111, 110)(101, 113, 116, 102, 115, 114)(103, 117, 120, 104, 119, 118)(121, 137, 140, 122, 139, 138)(123, 141, 144, 124, 143, 142)(125, 145, 148, 126, 147, 146)(127, 149, 152, 128, 151, 150)(129, 153, 156, 130, 155, 154)(131, 157, 160, 132, 159, 158)(133, 161, 164, 134, 163, 162)(135, 165, 168, 136, 167, 166)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 24^4 ), ( 24^6 ) }
Outer automorphisms :: chiral
Dual of E22.1433
Transitivity :: ET+
Graph:: bipartite
	v = 35 e = 84 f = 7
	degree seq :: [ 4^21, 6^14 ]

E22.1429 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X1 * X2^-1 * X1^-1 * X2^-1 * X1, X1^6, X2^5 * X1^-1 * X2^-1 * X1^-1, X2^-1 * X1 * X2^-2 * X1^-1 * X2^2 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 24, 34, 14, 11)(5, 15, 7, 20, 39, 16)(8, 22, 19, 33, 32, 12)(10, 26, 56, 64, 30, 28)(17, 40, 36, 44, 75, 41)(21, 45, 72, 38, 37, 47)(23, 50, 48, 68, 81, 51)(25, 54, 53, 35, 63, 29)(27, 58, 76, 42, 61, 59)(31, 49, 77, 43, 67, 66)(46, 79, 82, 52, 62, 80)(55, 70, 83, 69, 74, 73)(57, 78, 84, 65, 71, 60)(85, 87, 94, 111, 128, 104, 102, 118, 148, 126, 101, 89)(86, 91, 105, 130, 152, 117, 97, 100, 122, 136, 107, 92)(88, 96, 115, 139, 109, 93, 90, 103, 127, 153, 119, 98)(95, 113, 146, 131, 141, 110, 108, 137, 163, 156, 149, 114)(99, 120, 154, 161, 162, 129, 123, 125, 158, 150, 155, 121)(106, 132, 142, 140, 168, 151, 116, 135, 145, 112, 144, 133)(124, 143, 134, 164, 138, 167, 159, 160, 165, 166, 147, 157)
	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) :: { ( 8^6 ), ( 8^12 ) }
Outer automorphisms :: chiral
Dual of E22.1431
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 84 f = 21
	degree seq :: [ 6^14, 12^7 ]

E22.1430 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 6, 12})
Quotient :: edge
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X2^4, X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2, X2^2 * X1 * X2^2 * X1^-1, X1^-6 * X2^2, X1 * X2 * X1^-2 * X2 * X1^2 * X2^-1 * X1^2 ]
Map:: non-degenerate
	R = (1, 2, 6, 17, 37, 28, 10, 21, 41, 32, 13, 4)(3, 9, 25, 49, 36, 16, 5, 15, 35, 55, 29, 11)(7, 20, 45, 71, 48, 24, 8, 23, 47, 75, 46, 22)(12, 30, 57, 80, 53, 27, 14, 34, 62, 79, 52, 26)(18, 40, 67, 51, 70, 44, 19, 43, 69, 50, 68, 42)(31, 60, 77, 83, 76, 59, 33, 61, 78, 84, 74, 58)(38, 63, 81, 73, 54, 66, 39, 65, 82, 72, 56, 64)(85, 87, 94, 89)(86, 91, 105, 92)(88, 96, 112, 98)(90, 102, 125, 103)(93, 110, 99, 111)(95, 107, 100, 104)(97, 115, 121, 117)(101, 122, 116, 123)(106, 127, 108, 124)(109, 134, 119, 135)(113, 138, 120, 140)(114, 142, 118, 143)(126, 149, 128, 147)(129, 156, 131, 157)(130, 158, 132, 160)(133, 161, 139, 162)(136, 154, 137, 152)(141, 159, 146, 155)(144, 150, 145, 148)(151, 167, 153, 168)(163, 165, 164, 166)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12^4 ), ( 12^12 ) }
Outer automorphisms :: chiral
Dual of E22.1432
Transitivity :: ET+
Graph:: bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 4^21, 12^7 ]

E22.1431 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X1^4, X2 * X1^-2 * X2^2, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^12 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 4, 88)(3, 87, 9, 93, 16, 100, 11, 95)(5, 89, 14, 98, 10, 94, 15, 99)(7, 91, 17, 101, 12, 96, 18, 102)(8, 92, 19, 103, 13, 97, 20, 104)(21, 105, 37, 121, 23, 107, 38, 122)(22, 106, 39, 123, 24, 108, 40, 124)(25, 109, 41, 125, 27, 111, 42, 126)(26, 110, 43, 127, 28, 112, 44, 128)(29, 113, 45, 129, 31, 115, 46, 130)(30, 114, 47, 131, 32, 116, 48, 132)(33, 117, 49, 133, 35, 119, 50, 134)(34, 118, 51, 135, 36, 120, 52, 136)(53, 137, 82, 166, 55, 139, 84, 168)(54, 138, 70, 154, 56, 140, 72, 156)(57, 141, 77, 161, 59, 143, 79, 163)(58, 142, 74, 158, 60, 144, 76, 160)(61, 145, 73, 157, 63, 147, 75, 159)(62, 146, 81, 165, 64, 148, 83, 167)(65, 149, 78, 162, 67, 151, 80, 164)(66, 150, 69, 153, 68, 152, 71, 155)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 100)(7, 97)(8, 86)(9, 105)(10, 90)(11, 107)(12, 92)(13, 88)(14, 109)(15, 111)(16, 89)(17, 113)(18, 115)(19, 117)(20, 119)(21, 108)(22, 93)(23, 106)(24, 95)(25, 112)(26, 98)(27, 110)(28, 99)(29, 116)(30, 101)(31, 114)(32, 102)(33, 120)(34, 103)(35, 118)(36, 104)(37, 137)(38, 139)(39, 141)(40, 143)(41, 145)(42, 147)(43, 149)(44, 151)(45, 153)(46, 155)(47, 157)(48, 159)(49, 161)(50, 163)(51, 165)(52, 167)(53, 140)(54, 121)(55, 138)(56, 122)(57, 144)(58, 123)(59, 142)(60, 124)(61, 148)(62, 125)(63, 146)(64, 126)(65, 152)(66, 127)(67, 150)(68, 128)(69, 156)(70, 129)(71, 154)(72, 130)(73, 160)(74, 131)(75, 158)(76, 132)(77, 164)(78, 133)(79, 162)(80, 134)(81, 168)(82, 135)(83, 166)(84, 136)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1429
Transitivity :: ET+ VT+
Graph::
	v = 21 e = 84 f = 21
	degree seq :: [ 8^21 ]

E22.1432 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X1 * X2^-1 * X1^-1 * X2^-1 * X1, X1^6, X2^5 * X1^-1 * X2^-1 * X1^-1, X2^-1 * X1 * X2^-2 * X1^-1 * X2^2 * X1 * X2^-1 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 18, 102, 13, 97, 4, 88)(3, 87, 9, 93, 24, 108, 34, 118, 14, 98, 11, 95)(5, 89, 15, 99, 7, 91, 20, 104, 39, 123, 16, 100)(8, 92, 22, 106, 19, 103, 33, 117, 32, 116, 12, 96)(10, 94, 26, 110, 56, 140, 64, 148, 30, 114, 28, 112)(17, 101, 40, 124, 36, 120, 44, 128, 75, 159, 41, 125)(21, 105, 45, 129, 72, 156, 38, 122, 37, 121, 47, 131)(23, 107, 50, 134, 48, 132, 68, 152, 81, 165, 51, 135)(25, 109, 54, 138, 53, 137, 35, 119, 63, 147, 29, 113)(27, 111, 58, 142, 76, 160, 42, 126, 61, 145, 59, 143)(31, 115, 49, 133, 77, 161, 43, 127, 67, 151, 66, 150)(46, 130, 79, 163, 82, 166, 52, 136, 62, 146, 80, 164)(55, 139, 70, 154, 83, 167, 69, 153, 74, 158, 73, 157)(57, 141, 78, 162, 84, 168, 65, 149, 71, 155, 60, 144)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 105)(8, 86)(9, 90)(10, 111)(11, 113)(12, 115)(13, 100)(14, 88)(15, 120)(16, 122)(17, 89)(18, 118)(19, 127)(20, 102)(21, 130)(22, 132)(23, 92)(24, 137)(25, 93)(26, 108)(27, 128)(28, 144)(29, 146)(30, 95)(31, 139)(32, 135)(33, 97)(34, 148)(35, 98)(36, 154)(37, 99)(38, 136)(39, 125)(40, 143)(41, 158)(42, 101)(43, 153)(44, 104)(45, 123)(46, 152)(47, 141)(48, 142)(49, 106)(50, 164)(51, 145)(52, 107)(53, 163)(54, 167)(55, 109)(56, 168)(57, 110)(58, 140)(59, 134)(60, 133)(61, 112)(62, 131)(63, 157)(64, 126)(65, 114)(66, 155)(67, 116)(68, 117)(69, 119)(70, 161)(71, 121)(72, 149)(73, 124)(74, 150)(75, 160)(76, 165)(77, 162)(78, 129)(79, 156)(80, 138)(81, 166)(82, 147)(83, 159)(84, 151)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1430
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.1433 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 6, 12})
Quotient :: loop
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X2^4, X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2, X2^2 * X1 * X2^2 * X1^-1, X1^-6 * X2^2, X1 * X2 * X1^-2 * X2 * X1^2 * X2^-1 * X1^2 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 17, 101, 37, 121, 28, 112, 10, 94, 21, 105, 41, 125, 32, 116, 13, 97, 4, 88)(3, 87, 9, 93, 25, 109, 49, 133, 36, 120, 16, 100, 5, 89, 15, 99, 35, 119, 55, 139, 29, 113, 11, 95)(7, 91, 20, 104, 45, 129, 71, 155, 48, 132, 24, 108, 8, 92, 23, 107, 47, 131, 75, 159, 46, 130, 22, 106)(12, 96, 30, 114, 57, 141, 80, 164, 53, 137, 27, 111, 14, 98, 34, 118, 62, 146, 79, 163, 52, 136, 26, 110)(18, 102, 40, 124, 67, 151, 51, 135, 70, 154, 44, 128, 19, 103, 43, 127, 69, 153, 50, 134, 68, 152, 42, 126)(31, 115, 60, 144, 77, 161, 83, 167, 76, 160, 59, 143, 33, 117, 61, 145, 78, 162, 84, 168, 74, 158, 58, 142)(38, 122, 63, 147, 81, 165, 73, 157, 54, 138, 66, 150, 39, 123, 65, 149, 82, 166, 72, 156, 56, 140, 64, 148)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 102)(7, 105)(8, 86)(9, 110)(10, 89)(11, 107)(12, 112)(13, 115)(14, 88)(15, 111)(16, 104)(17, 122)(18, 125)(19, 90)(20, 95)(21, 92)(22, 127)(23, 100)(24, 124)(25, 134)(26, 99)(27, 93)(28, 98)(29, 138)(30, 142)(31, 121)(32, 123)(33, 97)(34, 143)(35, 135)(36, 140)(37, 117)(38, 116)(39, 101)(40, 106)(41, 103)(42, 149)(43, 108)(44, 147)(45, 156)(46, 158)(47, 157)(48, 160)(49, 161)(50, 119)(51, 109)(52, 154)(53, 152)(54, 120)(55, 162)(56, 113)(57, 159)(58, 118)(59, 114)(60, 150)(61, 148)(62, 155)(63, 126)(64, 144)(65, 128)(66, 145)(67, 167)(68, 136)(69, 168)(70, 137)(71, 141)(72, 131)(73, 129)(74, 132)(75, 146)(76, 130)(77, 139)(78, 133)(79, 165)(80, 166)(81, 164)(82, 163)(83, 153)(84, 151)
	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 ) }
Outer automorphisms :: chiral
Dual of E22.1428
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 84 f = 35
	degree seq :: [ 24^7 ]

E22.1434 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ X1^3, X2^2 * X1^-1 * X2 * X1 * X2 * X1^-1, (X2 * X1^-1)^4, X1^-1 * X2 * X1^-1 * X2^-5, X2^-2 * X1^-1 * X2^-1 * X1^-1 * X2^3 * X1^-1, X2^-1 * X1 * X2 * X1 * X2^2 * X1 * X2^-2, (X2^-1 * X1^-1)^12 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 44, 46)(21, 22, 51)(23, 48, 54)(25, 58, 60)(27, 36, 49)(28, 50, 62)(30, 64, 38)(34, 42, 68)(35, 70, 63)(37, 71, 59)(41, 76, 57)(43, 66, 77)(45, 79, 74)(47, 67, 81)(52, 75, 72)(53, 65, 84)(55, 56, 78)(61, 80, 73)(69, 83, 82)(85, 87, 93, 109, 143, 115, 133, 103, 132, 125, 99, 89)(86, 90, 101, 129, 112, 94, 111, 116, 150, 136, 105, 91)(88, 95, 114, 149, 131, 102, 120, 97, 119, 153, 118, 96)(92, 106, 137, 154, 145, 110, 104, 134, 166, 148, 139, 107)(98, 121, 156, 128, 162, 147, 113, 123, 158, 161, 157, 122)(100, 126, 144, 138, 164, 130, 117, 151, 141, 108, 140, 127)(124, 142, 165, 167, 135, 163, 155, 160, 152, 168, 146, 159)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: chiral
Dual of E22.1435
Transitivity :: ET+
Graph:: simple bipartite
	v = 35 e = 84 f = 7
	degree seq :: [ 3^28, 12^7 ]

E22.1435 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = (C7 : C4) : C3 (small group id <84, 1>)
Aut   = (C7 : C4) : C3 (small group id <84, 1>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^3, X2 * X1 * X2^3 * X1 * X2 * X1^-1, X2^-1 * X1^-2 * X2 * X1^-1 * X2^-3, X2 * X1^3 * X2 * X1 * X2^-1 * X1, X2^-2 * X1 * X2^-1 * X1^-4, X2^-1 * X1 * X2^-2 * X1^2 * X2 * X1^-1, X2^3 * X1^2 * X2^2 * X1^-1, X2 * X1^-2 * X2^-2 * X1^-3, X2 * X1 * X2^-2 * X1 * X2 * X1^-2, X2^-2 * X1^-1 * X2^-2 * X1^5 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 18, 102, 52, 136, 80, 164, 84, 168, 83, 167, 79, 163, 40, 124, 13, 97, 4, 88)(3, 87, 9, 93, 27, 111, 64, 148, 46, 130, 60, 144, 82, 166, 62, 146, 41, 125, 76, 160, 34, 118, 11, 95)(5, 89, 15, 99, 44, 128, 57, 141, 19, 103, 55, 139, 81, 165, 68, 152, 37, 121, 70, 154, 48, 132, 16, 100)(7, 91, 21, 105, 61, 145, 35, 119, 71, 155, 45, 129, 77, 161, 28, 112, 14, 98, 42, 126, 67, 151, 23, 107)(8, 92, 24, 108, 69, 153, 43, 127, 53, 137, 47, 131, 78, 162, 32, 116, 10, 94, 30, 114, 73, 157, 25, 109)(12, 96, 36, 120, 54, 138, 31, 115, 75, 159, 26, 110, 74, 158, 29, 113, 66, 150, 51, 135, 56, 140, 38, 122)(17, 101, 49, 133, 72, 156, 33, 117, 65, 149, 22, 106, 63, 147, 39, 123, 59, 143, 20, 104, 58, 142, 50, 134)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 106)(8, 86)(9, 112)(10, 115)(11, 117)(12, 121)(13, 123)(14, 88)(15, 129)(16, 131)(17, 89)(18, 137)(19, 140)(20, 90)(21, 100)(22, 148)(23, 150)(24, 154)(25, 156)(26, 92)(27, 136)(28, 139)(29, 93)(30, 145)(31, 147)(32, 141)(33, 163)(34, 152)(35, 95)(36, 146)(37, 142)(38, 162)(39, 155)(40, 157)(41, 97)(42, 144)(43, 98)(44, 149)(45, 138)(46, 99)(47, 143)(48, 159)(49, 151)(50, 160)(51, 101)(52, 133)(53, 118)(54, 102)(55, 109)(56, 119)(57, 125)(58, 114)(59, 113)(60, 104)(61, 164)(62, 105)(63, 165)(64, 122)(65, 127)(66, 124)(67, 116)(68, 107)(69, 135)(70, 111)(71, 108)(72, 120)(73, 130)(74, 128)(75, 126)(76, 110)(77, 134)(78, 167)(79, 132)(80, 158)(81, 168)(82, 153)(83, 161)(84, 166)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1434
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 84 f = 35
	degree seq :: [ 24^7 ]

E22.1436 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 12, 12})
Quotient :: edge
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ X1^3, X2^-1 * X1 * X2^-1 * X1^-1 * X2^-2 * X1, X2 * X1 * X2 * X1 * X2^-2 * X1, X2^12 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 42, 44)(21, 38, 48)(22, 30, 36)(23, 51, 52)(25, 43, 55)(27, 57, 34)(28, 58, 35)(37, 64, 65)(41, 49, 62)(45, 70, 46)(47, 54, 72)(50, 74, 75)(53, 73, 78)(56, 80, 59)(60, 67, 61)(63, 66, 76)(68, 77, 79)(69, 81, 71)(82, 83, 84)(85, 87, 93, 109, 138, 163, 168, 165, 151, 125, 99, 89)(86, 90, 101, 127, 135, 160, 166, 158, 142, 133, 105, 91)(88, 95, 114, 139, 148, 162, 167, 164, 154, 146, 118, 96)(92, 106, 134, 156, 157, 132, 155, 129, 102, 123, 117, 107)(94, 111, 104, 131, 113, 128, 153, 149, 150, 124, 143, 112)(97, 119, 137, 108, 103, 130, 152, 126, 116, 145, 147, 120)(98, 121, 100, 110, 140, 136, 161, 141, 159, 144, 115, 122)
	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) :: { ( 24^3 ), ( 24^12 ) }
Outer automorphisms :: chiral
Dual of E22.1437
Transitivity :: ET+
Graph:: simple bipartite
	v = 35 e = 84 f = 7
	degree seq :: [ 3^28, 12^7 ]

E22.1437 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 12, 12})
Quotient :: loop
Aut^+ = C4 x (C7 : C3) (small group id <84, 2>)
Aut   = C4 x (C7 : C3) (small group id <84, 2>)
|r| :: 1
Presentation :: [ X2^-1 * X1^-3 * X2^-2, (X2^-1 * X1^-1)^3, X2^-2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1, X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2^2 * X1^-1, X1^-1 * X2^-1 * X1^-1 * X2 * X1^-2 * X2^-1 * X1^-1, X2 * X1^-1 * X2^-1 * X1^4 * X2^-2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 85, 2, 86, 6, 90, 18, 102, 46, 130, 74, 158, 84, 168, 83, 167, 69, 153, 31, 115, 13, 97, 4, 88)(3, 87, 9, 93, 27, 111, 17, 101, 45, 129, 63, 147, 77, 161, 57, 141, 78, 162, 68, 152, 34, 118, 11, 95)(5, 89, 15, 99, 41, 125, 47, 131, 76, 160, 71, 155, 82, 166, 62, 146, 32, 116, 10, 94, 30, 114, 16, 100)(7, 91, 21, 105, 53, 137, 26, 110, 64, 148, 29, 113, 66, 150, 79, 163, 72, 156, 39, 123, 58, 142, 23, 107)(8, 92, 24, 108, 60, 144, 75, 159, 67, 151, 35, 119, 70, 154, 42, 126, 56, 140, 22, 106, 55, 139, 25, 109)(12, 96, 36, 120, 49, 133, 19, 103, 48, 132, 44, 128, 52, 136, 33, 117, 54, 138, 81, 165, 65, 149, 38, 122)(14, 98, 40, 124, 51, 135, 20, 104, 50, 134, 80, 164, 73, 157, 43, 127, 59, 143, 37, 121, 61, 145, 28, 112)
	L = (1, 87)(2, 91)(3, 94)(4, 96)(5, 85)(6, 103)(7, 106)(8, 86)(9, 112)(10, 115)(11, 117)(12, 121)(13, 123)(14, 88)(15, 126)(16, 128)(17, 89)(18, 101)(19, 98)(20, 90)(21, 100)(22, 97)(23, 141)(24, 145)(25, 147)(26, 92)(27, 149)(28, 137)(29, 93)(30, 151)(31, 152)(32, 133)(33, 144)(34, 143)(35, 95)(36, 140)(37, 153)(38, 148)(39, 154)(40, 146)(41, 138)(42, 134)(43, 99)(44, 142)(45, 135)(46, 110)(47, 102)(48, 109)(49, 163)(50, 114)(51, 113)(52, 104)(53, 118)(54, 105)(55, 127)(56, 111)(57, 164)(58, 116)(59, 107)(60, 162)(61, 160)(62, 108)(63, 120)(64, 125)(65, 119)(66, 159)(67, 124)(68, 166)(69, 165)(70, 167)(71, 122)(72, 129)(73, 158)(74, 136)(75, 130)(76, 139)(77, 131)(78, 132)(79, 155)(80, 156)(81, 157)(82, 168)(83, 150)(84, 161)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1436
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 84 f = 35
	degree seq :: [ 24^7 ]

E22.1438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 44})
Quotient :: dipole
Aut^+ = D88 (small group id <88, 5>)
Aut   = C2 x D88 (small group id <176, 29>)
|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 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 89, 2, 90)(3, 91, 5, 93)(4, 92, 8, 96)(6, 94, 10, 98)(7, 95, 11, 99)(9, 97, 13, 101)(12, 100, 16, 104)(14, 102, 18, 106)(15, 103, 19, 107)(17, 105, 21, 109)(20, 108, 24, 112)(22, 110, 26, 114)(23, 111, 27, 115)(25, 113, 29, 117)(28, 116, 32, 120)(30, 118, 35, 123)(31, 119, 33, 121)(34, 122, 47, 135)(36, 124, 51, 139)(37, 125, 53, 141)(38, 126, 49, 137)(39, 127, 55, 143)(40, 128, 57, 145)(41, 129, 59, 147)(42, 130, 61, 149)(43, 131, 63, 151)(44, 132, 65, 153)(45, 133, 67, 155)(46, 134, 69, 157)(48, 136, 71, 159)(50, 138, 73, 161)(52, 140, 77, 165)(54, 142, 79, 167)(56, 144, 75, 163)(58, 146, 83, 171)(60, 148, 85, 173)(62, 150, 81, 169)(64, 152, 87, 175)(66, 154, 86, 174)(68, 156, 84, 172)(70, 158, 88, 176)(72, 160, 82, 170)(74, 162, 80, 168)(76, 164, 78, 166)(177, 265, 179, 267)(178, 266, 181, 269)(180, 268, 183, 271)(182, 270, 185, 273)(184, 272, 187, 275)(186, 274, 189, 277)(188, 276, 191, 279)(190, 278, 193, 281)(192, 280, 195, 283)(194, 282, 197, 285)(196, 284, 199, 287)(198, 286, 201, 289)(200, 288, 203, 291)(202, 290, 205, 293)(204, 292, 207, 295)(206, 294, 223, 311)(208, 296, 209, 297)(210, 298, 211, 299)(212, 300, 214, 302)(213, 301, 215, 303)(216, 304, 218, 306)(217, 305, 219, 307)(220, 308, 222, 310)(221, 309, 224, 312)(225, 313, 227, 315)(226, 314, 228, 316)(229, 317, 231, 319)(230, 318, 232, 320)(233, 321, 237, 325)(234, 322, 238, 326)(235, 323, 239, 327)(236, 324, 240, 328)(241, 329, 245, 333)(242, 330, 246, 334)(243, 331, 247, 335)(244, 332, 248, 336)(249, 337, 253, 341)(250, 338, 254, 342)(251, 339, 255, 343)(252, 340, 256, 344)(257, 345, 259, 347)(258, 346, 260, 348)(261, 349, 263, 351)(262, 350, 264, 352)
	L = (1, 180)(2, 182)(3, 183)(4, 177)(5, 185)(6, 178)(7, 179)(8, 188)(9, 181)(10, 190)(11, 191)(12, 184)(13, 193)(14, 186)(15, 187)(16, 196)(17, 189)(18, 198)(19, 199)(20, 192)(21, 201)(22, 194)(23, 195)(24, 204)(25, 197)(26, 206)(27, 207)(28, 200)(29, 223)(30, 202)(31, 203)(32, 225)(33, 227)(34, 229)(35, 231)(36, 233)(37, 235)(38, 237)(39, 239)(40, 241)(41, 243)(42, 245)(43, 247)(44, 249)(45, 251)(46, 253)(47, 205)(48, 255)(49, 208)(50, 257)(51, 209)(52, 259)(53, 210)(54, 261)(55, 211)(56, 263)(57, 212)(58, 262)(59, 213)(60, 260)(61, 214)(62, 264)(63, 215)(64, 258)(65, 216)(66, 256)(67, 217)(68, 254)(69, 218)(70, 252)(71, 219)(72, 250)(73, 220)(74, 248)(75, 221)(76, 246)(77, 222)(78, 244)(79, 224)(80, 242)(81, 226)(82, 240)(83, 228)(84, 236)(85, 230)(86, 234)(87, 232)(88, 238)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible
Dual of E22.1439
Graph:: simple bipartite
	v = 88 e = 176 f = 46
	degree seq :: [ 4^88 ]

E22.1439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 44})
Quotient :: dipole
Aut^+ = D88 (small group id <88, 5>)
Aut   = C2 x D88 (small group id <176, 29>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y1^22, Y1^-1 * Y2 * Y1^10 * Y3 * Y1^-11 ]
Map:: non-degenerate
	R = (1, 89, 2, 90, 6, 94, 13, 101, 21, 109, 29, 117, 37, 125, 45, 133, 53, 141, 61, 149, 69, 157, 77, 165, 85, 173, 82, 170, 74, 162, 66, 154, 58, 146, 50, 138, 42, 130, 34, 122, 26, 114, 18, 106, 10, 98, 16, 104, 24, 112, 32, 120, 40, 128, 48, 136, 56, 144, 64, 152, 72, 160, 80, 168, 88, 176, 84, 172, 76, 164, 68, 156, 60, 148, 52, 140, 44, 132, 36, 124, 28, 116, 20, 108, 12, 100, 5, 93)(3, 91, 9, 97, 17, 105, 25, 113, 33, 121, 41, 129, 49, 137, 57, 145, 65, 153, 73, 161, 81, 169, 87, 175, 79, 167, 71, 159, 63, 151, 55, 143, 47, 135, 39, 127, 31, 119, 23, 111, 15, 103, 8, 96, 4, 92, 11, 99, 19, 107, 27, 115, 35, 123, 43, 131, 51, 139, 59, 147, 67, 155, 75, 163, 83, 171, 86, 174, 78, 166, 70, 158, 62, 150, 54, 142, 46, 134, 38, 126, 30, 118, 22, 110, 14, 102, 7, 95)(177, 265, 179, 267)(178, 266, 183, 271)(180, 268, 186, 274)(181, 269, 185, 273)(182, 270, 190, 278)(184, 272, 192, 280)(187, 275, 194, 282)(188, 276, 193, 281)(189, 277, 198, 286)(191, 279, 200, 288)(195, 283, 202, 290)(196, 284, 201, 289)(197, 285, 206, 294)(199, 287, 208, 296)(203, 291, 210, 298)(204, 292, 209, 297)(205, 293, 214, 302)(207, 295, 216, 304)(211, 299, 218, 306)(212, 300, 217, 305)(213, 301, 222, 310)(215, 303, 224, 312)(219, 307, 226, 314)(220, 308, 225, 313)(221, 309, 230, 318)(223, 311, 232, 320)(227, 315, 234, 322)(228, 316, 233, 321)(229, 317, 238, 326)(231, 319, 240, 328)(235, 323, 242, 330)(236, 324, 241, 329)(237, 325, 246, 334)(239, 327, 248, 336)(243, 331, 250, 338)(244, 332, 249, 337)(245, 333, 254, 342)(247, 335, 256, 344)(251, 339, 258, 346)(252, 340, 257, 345)(253, 341, 262, 350)(255, 343, 264, 352)(259, 347, 261, 349)(260, 348, 263, 351)
	L = (1, 180)(2, 184)(3, 186)(4, 177)(5, 187)(6, 191)(7, 192)(8, 178)(9, 194)(10, 179)(11, 181)(12, 195)(13, 199)(14, 200)(15, 182)(16, 183)(17, 202)(18, 185)(19, 188)(20, 203)(21, 207)(22, 208)(23, 189)(24, 190)(25, 210)(26, 193)(27, 196)(28, 211)(29, 215)(30, 216)(31, 197)(32, 198)(33, 218)(34, 201)(35, 204)(36, 219)(37, 223)(38, 224)(39, 205)(40, 206)(41, 226)(42, 209)(43, 212)(44, 227)(45, 231)(46, 232)(47, 213)(48, 214)(49, 234)(50, 217)(51, 220)(52, 235)(53, 239)(54, 240)(55, 221)(56, 222)(57, 242)(58, 225)(59, 228)(60, 243)(61, 247)(62, 248)(63, 229)(64, 230)(65, 250)(66, 233)(67, 236)(68, 251)(69, 255)(70, 256)(71, 237)(72, 238)(73, 258)(74, 241)(75, 244)(76, 259)(77, 263)(78, 264)(79, 245)(80, 246)(81, 261)(82, 249)(83, 252)(84, 262)(85, 257)(86, 260)(87, 253)(88, 254)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4^4 ), ( 4^88 ) }
Outer automorphisms :: reflexible
Dual of E22.1438
Graph:: bipartite
	v = 46 e = 176 f = 88
	degree seq :: [ 4^44, 88^2 ]

E22.1440 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 44})
Quotient :: edge
Aut^+ = C11 : Q8 (small group id <88, 3>)
Aut   = (C44 x C2) : C2 (small group id <176, 30>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1, T2^21 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(89, 90, 94, 92)(91, 96, 101, 98)(93, 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, 141, 138)(132, 135, 142, 139)(137, 144, 149, 146)(140, 143, 150, 147)(145, 152, 157, 154)(148, 151, 158, 155)(153, 160, 165, 162)(156, 159, 166, 163)(161, 168, 173, 170)(164, 167, 174, 171)(169, 176, 172, 175)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 8^4 ), ( 8^44 ) }
Outer automorphisms :: reflexible
Dual of E22.1441
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 88 f = 22
	degree seq :: [ 4^22, 44^2 ]

E22.1441 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 44})
Quotient :: loop
Aut^+ = C11 : Q8 (small group id <88, 3>)
Aut   = (C44 x C2) : C2 (small group id <176, 30>)
|r| :: 2
Presentation :: [ F^2, T1^4, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1^2 * T2, T2 * 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 * T2^-1 * T1^-1 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * 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 * 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 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 89, 3, 91, 6, 94, 5, 93)(2, 90, 7, 95, 4, 92, 8, 96)(9, 97, 13, 101, 10, 98, 14, 102)(11, 99, 15, 103, 12, 100, 16, 104)(17, 105, 21, 109, 18, 106, 22, 110)(19, 107, 23, 111, 20, 108, 24, 112)(25, 113, 29, 117, 26, 114, 30, 118)(27, 115, 31, 119, 28, 116, 32, 120)(33, 121, 38, 126, 34, 122, 36, 124)(35, 123, 55, 143, 40, 128, 53, 141)(37, 125, 60, 148, 39, 127, 62, 150)(41, 129, 59, 147, 42, 130, 57, 145)(43, 131, 65, 153, 44, 132, 63, 151)(45, 133, 71, 159, 46, 134, 69, 157)(47, 135, 75, 163, 48, 136, 73, 161)(49, 137, 79, 167, 50, 138, 77, 165)(51, 139, 83, 171, 52, 140, 81, 169)(54, 142, 87, 175, 56, 144, 85, 173)(58, 146, 84, 172, 68, 156, 82, 170)(61, 149, 88, 176, 66, 154, 86, 174)(64, 152, 78, 166, 67, 155, 80, 168)(70, 158, 76, 164, 72, 160, 74, 162)
	L = (1, 90)(2, 94)(3, 97)(4, 89)(5, 98)(6, 92)(7, 99)(8, 100)(9, 93)(10, 91)(11, 96)(12, 95)(13, 105)(14, 106)(15, 107)(16, 108)(17, 102)(18, 101)(19, 104)(20, 103)(21, 113)(22, 114)(23, 115)(24, 116)(25, 110)(26, 109)(27, 112)(28, 111)(29, 121)(30, 122)(31, 141)(32, 143)(33, 118)(34, 117)(35, 145)(36, 148)(37, 151)(38, 150)(39, 153)(40, 147)(41, 157)(42, 159)(43, 161)(44, 163)(45, 165)(46, 167)(47, 169)(48, 171)(49, 173)(50, 175)(51, 176)(52, 174)(53, 120)(54, 170)(55, 119)(56, 172)(57, 128)(58, 162)(59, 123)(60, 126)(61, 166)(62, 124)(63, 127)(64, 160)(65, 125)(66, 168)(67, 158)(68, 164)(69, 130)(70, 152)(71, 129)(72, 155)(73, 132)(74, 156)(75, 131)(76, 146)(77, 134)(78, 154)(79, 133)(80, 149)(81, 136)(82, 144)(83, 135)(84, 142)(85, 138)(86, 139)(87, 137)(88, 140)
	local type(s) :: { ( 4, 44, 4, 44, 4, 44, 4, 44 ) }
Outer automorphisms :: reflexible
Dual of E22.1440
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 22 e = 88 f = 24
	degree seq :: [ 8^22 ]

E22.1442 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 44})
Quotient :: dipole
Aut^+ = C11 : Q8 (small group id <88, 3>)
Aut   = (C44 x C2) : C2 (small group id <176, 30>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3^-1 * Y1^-1)^4, Y2^21 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 89, 2, 90, 6, 94, 4, 92)(3, 91, 8, 96, 13, 101, 10, 98)(5, 93, 7, 95, 14, 102, 11, 99)(9, 97, 16, 104, 21, 109, 18, 106)(12, 100, 15, 103, 22, 110, 19, 107)(17, 105, 24, 112, 29, 117, 26, 114)(20, 108, 23, 111, 30, 118, 27, 115)(25, 113, 32, 120, 37, 125, 34, 122)(28, 116, 31, 119, 38, 126, 35, 123)(33, 121, 40, 128, 45, 133, 42, 130)(36, 124, 39, 127, 46, 134, 43, 131)(41, 129, 48, 136, 53, 141, 50, 138)(44, 132, 47, 135, 54, 142, 51, 139)(49, 137, 56, 144, 61, 149, 58, 146)(52, 140, 55, 143, 62, 150, 59, 147)(57, 145, 64, 152, 69, 157, 66, 154)(60, 148, 63, 151, 70, 158, 67, 155)(65, 153, 72, 160, 77, 165, 74, 162)(68, 156, 71, 159, 78, 166, 75, 163)(73, 161, 80, 168, 85, 173, 82, 170)(76, 164, 79, 167, 86, 174, 83, 171)(81, 169, 88, 176, 84, 172, 87, 175)(177, 265, 179, 267, 185, 273, 193, 281, 201, 289, 209, 297, 217, 305, 225, 313, 233, 321, 241, 329, 249, 337, 257, 345, 262, 350, 254, 342, 246, 334, 238, 326, 230, 318, 222, 310, 214, 302, 206, 294, 198, 286, 190, 278, 182, 270, 189, 277, 197, 285, 205, 293, 213, 301, 221, 309, 229, 317, 237, 325, 245, 333, 253, 341, 261, 349, 260, 348, 252, 340, 244, 332, 236, 324, 228, 316, 220, 308, 212, 300, 204, 292, 196, 284, 188, 276, 181, 269)(178, 266, 183, 271, 191, 279, 199, 287, 207, 295, 215, 303, 223, 311, 231, 319, 239, 327, 247, 335, 255, 343, 263, 351, 258, 346, 250, 338, 242, 330, 234, 322, 226, 314, 218, 306, 210, 298, 202, 290, 194, 282, 186, 274, 180, 268, 187, 275, 195, 283, 203, 291, 211, 299, 219, 307, 227, 315, 235, 323, 243, 331, 251, 339, 259, 347, 264, 352, 256, 344, 248, 336, 240, 328, 232, 320, 224, 312, 216, 304, 208, 296, 200, 288, 192, 280, 184, 272)
	L = (1, 179)(2, 183)(3, 185)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 193)(10, 180)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 201)(18, 186)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 209)(26, 194)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 217)(34, 202)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 225)(42, 210)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 233)(50, 218)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 241)(58, 226)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 249)(66, 234)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 257)(74, 242)(75, 259)(76, 244)(77, 261)(78, 246)(79, 263)(80, 248)(81, 262)(82, 250)(83, 264)(84, 252)(85, 260)(86, 254)(87, 258)(88, 256)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E22.1443
Graph:: bipartite
	v = 24 e = 176 f = 110
	degree seq :: [ 8^22, 88^2 ]

E22.1443 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 44})
Quotient :: dipole
Aut^+ = C11 : Q8 (small group id <88, 3>)
Aut   = (C44 x C2) : C2 (small group id <176, 30>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^21 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^44 ]
Map::
	R = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(177, 265, 178, 266, 182, 270, 180, 268)(179, 267, 184, 272, 189, 277, 186, 274)(181, 269, 183, 271, 190, 278, 187, 275)(185, 273, 192, 280, 197, 285, 194, 282)(188, 276, 191, 279, 198, 286, 195, 283)(193, 281, 200, 288, 205, 293, 202, 290)(196, 284, 199, 287, 206, 294, 203, 291)(201, 289, 208, 296, 213, 301, 210, 298)(204, 292, 207, 295, 214, 302, 211, 299)(209, 297, 216, 304, 221, 309, 218, 306)(212, 300, 215, 303, 222, 310, 219, 307)(217, 305, 224, 312, 229, 317, 226, 314)(220, 308, 223, 311, 230, 318, 227, 315)(225, 313, 232, 320, 237, 325, 234, 322)(228, 316, 231, 319, 238, 326, 235, 323)(233, 321, 240, 328, 245, 333, 242, 330)(236, 324, 239, 327, 246, 334, 243, 331)(241, 329, 248, 336, 253, 341, 250, 338)(244, 332, 247, 335, 254, 342, 251, 339)(249, 337, 256, 344, 261, 349, 258, 346)(252, 340, 255, 343, 262, 350, 259, 347)(257, 345, 264, 352, 260, 348, 263, 351)
	L = (1, 179)(2, 183)(3, 185)(4, 187)(5, 177)(6, 189)(7, 191)(8, 178)(9, 193)(10, 180)(11, 195)(12, 181)(13, 197)(14, 182)(15, 199)(16, 184)(17, 201)(18, 186)(19, 203)(20, 188)(21, 205)(22, 190)(23, 207)(24, 192)(25, 209)(26, 194)(27, 211)(28, 196)(29, 213)(30, 198)(31, 215)(32, 200)(33, 217)(34, 202)(35, 219)(36, 204)(37, 221)(38, 206)(39, 223)(40, 208)(41, 225)(42, 210)(43, 227)(44, 212)(45, 229)(46, 214)(47, 231)(48, 216)(49, 233)(50, 218)(51, 235)(52, 220)(53, 237)(54, 222)(55, 239)(56, 224)(57, 241)(58, 226)(59, 243)(60, 228)(61, 245)(62, 230)(63, 247)(64, 232)(65, 249)(66, 234)(67, 251)(68, 236)(69, 253)(70, 238)(71, 255)(72, 240)(73, 257)(74, 242)(75, 259)(76, 244)(77, 261)(78, 246)(79, 263)(80, 248)(81, 262)(82, 250)(83, 264)(84, 252)(85, 260)(86, 254)(87, 258)(88, 256)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 88 ), ( 8, 88, 8, 88, 8, 88, 8, 88 ) }
Outer automorphisms :: reflexible
Dual of E22.1442
Graph:: simple bipartite
	v = 110 e = 176 f = 24
	degree seq :: [ 2^88, 8^22 ]

E22.1444 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 88, 88})
Quotient :: regular
Aut^+ = C88 (small group id <88, 2>)
Aut   = D176 (small group id <176, 6>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^44 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 34, 37, 41, 44, 47, 49, 51, 53, 63, 59, 56, 57, 60, 64, 67, 70, 72, 74, 76, 85, 82, 79, 80, 78, 55, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 46, 43, 39, 35, 38, 42, 45, 48, 50, 52, 54, 69, 66, 62, 58, 61, 65, 68, 71, 73, 75, 77, 88, 87, 84, 81, 83, 86, 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, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 75)(74, 77)(76, 88)(78, 86)(79, 81)(80, 83)(82, 84)(85, 87)
	local type(s) :: { ( 88^88 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 44 f = 1
	degree seq :: [ 88 ]

E22.1445 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 88, 88})
Quotient :: edge
Aut^+ = C88 (small group id <88, 2>)
Aut   = D176 (small group id <176, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^44 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 42, 38, 34, 37, 41, 45, 47, 49, 51, 53, 67, 63, 59, 56, 58, 62, 66, 69, 71, 73, 75, 77, 87, 84, 80, 83, 78, 55, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 44, 40, 36, 33, 35, 39, 43, 46, 48, 50, 52, 54, 65, 61, 57, 60, 64, 68, 70, 72, 74, 76, 88, 86, 82, 79, 81, 85, 32, 28, 24, 20, 16, 12, 8, 4)(89, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 132)(120, 143)(121, 122)(123, 125)(124, 126)(127, 129)(128, 130)(131, 133)(134, 135)(136, 137)(138, 139)(140, 141)(142, 155)(144, 145)(146, 148)(147, 149)(150, 152)(151, 153)(154, 156)(157, 158)(159, 160)(161, 162)(163, 164)(165, 176)(166, 173)(167, 168)(169, 171)(170, 172)(174, 175)
	L = (1, 89)(2, 90)(3, 91)(4, 92)(5, 93)(6, 94)(7, 95)(8, 96)(9, 97)(10, 98)(11, 99)(12, 100)(13, 101)(14, 102)(15, 103)(16, 104)(17, 105)(18, 106)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 115)(28, 116)(29, 117)(30, 118)(31, 119)(32, 120)(33, 121)(34, 122)(35, 123)(36, 124)(37, 125)(38, 126)(39, 127)(40, 128)(41, 129)(42, 130)(43, 131)(44, 132)(45, 133)(46, 134)(47, 135)(48, 136)(49, 137)(50, 138)(51, 139)(52, 140)(53, 141)(54, 142)(55, 143)(56, 144)(57, 145)(58, 146)(59, 147)(60, 148)(61, 149)(62, 150)(63, 151)(64, 152)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 161)(74, 162)(75, 163)(76, 164)(77, 165)(78, 166)(79, 167)(80, 168)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)
	local type(s) :: { ( 176, 176 ), ( 176^88 ) }
Outer automorphisms :: reflexible
Dual of E22.1446
Transitivity :: ET+
Graph:: bipartite
	v = 45 e = 88 f = 1
	degree seq :: [ 2^44, 88 ]

E22.1446 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 88, 88})
Quotient :: loop
Aut^+ = C88 (small group id <88, 2>)
Aut   = D176 (small group id <176, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^44 * T1 ]
Map::
	R = (1, 89, 3, 91, 7, 95, 11, 99, 15, 103, 19, 107, 23, 111, 27, 115, 31, 119, 36, 124, 33, 121, 35, 123, 39, 127, 42, 130, 44, 132, 46, 134, 48, 136, 50, 138, 52, 140, 57, 145, 54, 142, 56, 144, 60, 148, 63, 151, 65, 153, 67, 155, 69, 157, 71, 159, 73, 161, 78, 166, 75, 163, 77, 165, 81, 169, 84, 172, 86, 174, 74, 162, 53, 141, 30, 118, 26, 114, 22, 110, 18, 106, 14, 102, 10, 98, 6, 94, 2, 90, 5, 93, 9, 97, 13, 101, 17, 105, 21, 109, 25, 113, 29, 117, 41, 129, 38, 126, 34, 122, 37, 125, 40, 128, 43, 131, 45, 133, 47, 135, 49, 137, 51, 139, 62, 150, 59, 147, 55, 143, 58, 146, 61, 149, 64, 152, 66, 154, 68, 156, 70, 158, 72, 160, 83, 171, 80, 168, 76, 164, 79, 167, 82, 170, 85, 173, 87, 175, 88, 176, 32, 120, 28, 116, 24, 112, 20, 108, 16, 104, 12, 100, 8, 96, 4, 92)
	L = (1, 90)(2, 89)(3, 93)(4, 94)(5, 91)(6, 92)(7, 97)(8, 98)(9, 95)(10, 96)(11, 101)(12, 102)(13, 99)(14, 100)(15, 105)(16, 106)(17, 103)(18, 104)(19, 109)(20, 110)(21, 107)(22, 108)(23, 113)(24, 114)(25, 111)(26, 112)(27, 117)(28, 118)(29, 115)(30, 116)(31, 129)(32, 141)(33, 122)(34, 121)(35, 125)(36, 126)(37, 123)(38, 124)(39, 128)(40, 127)(41, 119)(42, 131)(43, 130)(44, 133)(45, 132)(46, 135)(47, 134)(48, 137)(49, 136)(50, 139)(51, 138)(52, 150)(53, 120)(54, 143)(55, 142)(56, 146)(57, 147)(58, 144)(59, 145)(60, 149)(61, 148)(62, 140)(63, 152)(64, 151)(65, 154)(66, 153)(67, 156)(68, 155)(69, 158)(70, 157)(71, 160)(72, 159)(73, 171)(74, 176)(75, 164)(76, 163)(77, 167)(78, 168)(79, 165)(80, 166)(81, 170)(82, 169)(83, 161)(84, 173)(85, 172)(86, 175)(87, 174)(88, 162)
	local type(s) :: { ( 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E22.1445
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 88 f = 45
	degree seq :: [ 176 ]

E22.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 88, 88})
Quotient :: dipole
Aut^+ = C88 (small group id <88, 2>)
Aut   = D176 (small group id <176, 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, Y2^44 * Y1, (Y3 * Y2^-1)^88 ]
Map::
	R = (1, 89, 2, 90)(3, 91, 5, 93)(4, 92, 6, 94)(7, 95, 9, 97)(8, 96, 10, 98)(11, 99, 13, 101)(12, 100, 14, 102)(15, 103, 17, 105)(16, 104, 18, 106)(19, 107, 21, 109)(20, 108, 22, 110)(23, 111, 25, 113)(24, 112, 26, 114)(27, 115, 29, 117)(28, 116, 30, 118)(31, 119, 44, 132)(32, 120, 55, 143)(33, 121, 34, 122)(35, 123, 37, 125)(36, 124, 38, 126)(39, 127, 41, 129)(40, 128, 42, 130)(43, 131, 45, 133)(46, 134, 47, 135)(48, 136, 49, 137)(50, 138, 51, 139)(52, 140, 53, 141)(54, 142, 67, 155)(56, 144, 57, 145)(58, 146, 60, 148)(59, 147, 61, 149)(62, 150, 64, 152)(63, 151, 65, 153)(66, 154, 68, 156)(69, 157, 70, 158)(71, 159, 72, 160)(73, 161, 74, 162)(75, 163, 76, 164)(77, 165, 88, 176)(78, 166, 85, 173)(79, 167, 80, 168)(81, 169, 83, 171)(82, 170, 84, 172)(86, 174, 87, 175)(177, 265, 179, 267, 183, 271, 187, 275, 191, 279, 195, 283, 199, 287, 203, 291, 207, 295, 218, 306, 214, 302, 210, 298, 213, 301, 217, 305, 221, 309, 223, 311, 225, 313, 227, 315, 229, 317, 243, 331, 239, 327, 235, 323, 232, 320, 234, 322, 238, 326, 242, 330, 245, 333, 247, 335, 249, 337, 251, 339, 253, 341, 263, 351, 260, 348, 256, 344, 259, 347, 254, 342, 231, 319, 206, 294, 202, 290, 198, 286, 194, 282, 190, 278, 186, 274, 182, 270, 178, 266, 181, 269, 185, 273, 189, 277, 193, 281, 197, 285, 201, 289, 205, 293, 220, 308, 216, 304, 212, 300, 209, 297, 211, 299, 215, 303, 219, 307, 222, 310, 224, 312, 226, 314, 228, 316, 230, 318, 241, 329, 237, 325, 233, 321, 236, 324, 240, 328, 244, 332, 246, 334, 248, 336, 250, 338, 252, 340, 264, 352, 262, 350, 258, 346, 255, 343, 257, 345, 261, 349, 208, 296, 204, 292, 200, 288, 196, 284, 192, 280, 188, 276, 184, 272, 180, 268)
	L = (1, 178)(2, 177)(3, 181)(4, 182)(5, 179)(6, 180)(7, 185)(8, 186)(9, 183)(10, 184)(11, 189)(12, 190)(13, 187)(14, 188)(15, 193)(16, 194)(17, 191)(18, 192)(19, 197)(20, 198)(21, 195)(22, 196)(23, 201)(24, 202)(25, 199)(26, 200)(27, 205)(28, 206)(29, 203)(30, 204)(31, 220)(32, 231)(33, 210)(34, 209)(35, 213)(36, 214)(37, 211)(38, 212)(39, 217)(40, 218)(41, 215)(42, 216)(43, 221)(44, 207)(45, 219)(46, 223)(47, 222)(48, 225)(49, 224)(50, 227)(51, 226)(52, 229)(53, 228)(54, 243)(55, 208)(56, 233)(57, 232)(58, 236)(59, 237)(60, 234)(61, 235)(62, 240)(63, 241)(64, 238)(65, 239)(66, 244)(67, 230)(68, 242)(69, 246)(70, 245)(71, 248)(72, 247)(73, 250)(74, 249)(75, 252)(76, 251)(77, 264)(78, 261)(79, 256)(80, 255)(81, 259)(82, 260)(83, 257)(84, 258)(85, 254)(86, 263)(87, 262)(88, 253)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 2, 176, 2, 176 ), ( 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176, 2, 176 ) }
Outer automorphisms :: reflexible
Dual of E22.1448
Graph:: bipartite
	v = 45 e = 176 f = 89
	degree seq :: [ 4^44, 176 ]

E22.1448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 88, 88})
Quotient :: dipole
Aut^+ = C88 (small group id <88, 2>)
Aut   = D176 (small group id <176, 6>)
|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 * Y1^44 ]
Map::
	R = (1, 89, 2, 90, 5, 93, 9, 97, 13, 101, 17, 105, 21, 109, 25, 113, 29, 117, 40, 128, 36, 124, 33, 121, 34, 122, 37, 125, 41, 129, 44, 132, 47, 135, 49, 137, 51, 139, 53, 141, 63, 151, 59, 147, 56, 144, 57, 145, 60, 148, 64, 152, 67, 155, 70, 158, 72, 160, 74, 162, 76, 164, 85, 173, 82, 170, 79, 167, 80, 168, 78, 166, 55, 143, 31, 119, 27, 115, 23, 111, 19, 107, 15, 103, 11, 99, 7, 95, 3, 91, 6, 94, 10, 98, 14, 102, 18, 106, 22, 110, 26, 114, 30, 118, 46, 134, 43, 131, 39, 127, 35, 123, 38, 126, 42, 130, 45, 133, 48, 136, 50, 138, 52, 140, 54, 142, 69, 157, 66, 154, 62, 150, 58, 146, 61, 149, 65, 153, 68, 156, 71, 159, 73, 161, 75, 163, 77, 165, 88, 176, 87, 175, 84, 172, 81, 169, 83, 171, 86, 174, 32, 120, 28, 116, 24, 112, 20, 108, 16, 104, 12, 100, 8, 96, 4, 92)(177, 265)(178, 266)(179, 267)(180, 268)(181, 269)(182, 270)(183, 271)(184, 272)(185, 273)(186, 274)(187, 275)(188, 276)(189, 277)(190, 278)(191, 279)(192, 280)(193, 281)(194, 282)(195, 283)(196, 284)(197, 285)(198, 286)(199, 287)(200, 288)(201, 289)(202, 290)(203, 291)(204, 292)(205, 293)(206, 294)(207, 295)(208, 296)(209, 297)(210, 298)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 307)(220, 308)(221, 309)(222, 310)(223, 311)(224, 312)(225, 313)(226, 314)(227, 315)(228, 316)(229, 317)(230, 318)(231, 319)(232, 320)(233, 321)(234, 322)(235, 323)(236, 324)(237, 325)(238, 326)(239, 327)(240, 328)(241, 329)(242, 330)(243, 331)(244, 332)(245, 333)(246, 334)(247, 335)(248, 336)(249, 337)(250, 338)(251, 339)(252, 340)(253, 341)(254, 342)(255, 343)(256, 344)(257, 345)(258, 346)(259, 347)(260, 348)(261, 349)(262, 350)(263, 351)(264, 352)
	L = (1, 179)(2, 182)(3, 177)(4, 183)(5, 186)(6, 178)(7, 180)(8, 187)(9, 190)(10, 181)(11, 184)(12, 191)(13, 194)(14, 185)(15, 188)(16, 195)(17, 198)(18, 189)(19, 192)(20, 199)(21, 202)(22, 193)(23, 196)(24, 203)(25, 206)(26, 197)(27, 200)(28, 207)(29, 222)(30, 201)(31, 204)(32, 231)(33, 211)(34, 214)(35, 209)(36, 215)(37, 218)(38, 210)(39, 212)(40, 219)(41, 221)(42, 213)(43, 216)(44, 224)(45, 217)(46, 205)(47, 226)(48, 220)(49, 228)(50, 223)(51, 230)(52, 225)(53, 245)(54, 227)(55, 208)(56, 234)(57, 237)(58, 232)(59, 238)(60, 241)(61, 233)(62, 235)(63, 242)(64, 244)(65, 236)(66, 239)(67, 247)(68, 240)(69, 229)(70, 249)(71, 243)(72, 251)(73, 246)(74, 253)(75, 248)(76, 264)(77, 250)(78, 262)(79, 257)(80, 259)(81, 255)(82, 260)(83, 256)(84, 258)(85, 263)(86, 254)(87, 261)(88, 252)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4, 176 ), ( 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176, 4, 176 ) }
Outer automorphisms :: reflexible
Dual of E22.1447
Graph:: bipartite
	v = 89 e = 176 f = 45
	degree seq :: [ 2^88, 176 ]

E22.1449 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 45, 90})
Quotient :: regular
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-45 ]
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, 71, 73, 75, 76, 78, 80, 82, 85, 86, 87, 84, 66, 49, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 33, 34, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 59, 61, 63, 65, 68, 69, 70, 72, 74, 67, 77, 79, 81, 88, 89, 90, 83, 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, 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, 68)(66, 83)(67, 78)(69, 71)(70, 73)(72, 75)(74, 76)(77, 80)(79, 82)(81, 85)(84, 90)(86, 88)(87, 89)
	local type(s) :: { ( 45^90 ) }
Outer automorphisms :: reflexible
Dual of E22.1450
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 45 f = 2
	degree seq :: [ 90 ]

E22.1450 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 45, 90})
Quotient :: regular
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^45 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 34, 37, 41, 44, 47, 49, 51, 53, 63, 59, 56, 57, 60, 64, 67, 70, 72, 74, 76, 86, 82, 79, 80, 83, 87, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 46, 43, 39, 35, 38, 42, 45, 48, 50, 52, 54, 69, 66, 62, 58, 61, 65, 68, 71, 73, 75, 77, 90, 89, 85, 81, 84, 88, 78, 55, 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, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 75)(74, 77)(76, 90)(78, 87)(79, 81)(80, 84)(82, 85)(83, 88)(86, 89)
	local type(s) :: { ( 90^45 ) }
Outer automorphisms :: reflexible
Dual of E22.1449
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 45 f = 1
	degree seq :: [ 45^2 ]

E22.1451 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 45, 90})
Quotient :: edge
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^45 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 40, 36, 33, 35, 39, 43, 46, 48, 50, 52, 54, 63, 59, 56, 58, 62, 66, 69, 71, 73, 75, 77, 86, 82, 79, 81, 85, 89, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 45, 42, 38, 34, 37, 41, 44, 47, 49, 51, 53, 68, 65, 61, 57, 60, 64, 67, 70, 72, 74, 76, 90, 88, 84, 80, 83, 87, 78, 55, 30, 26, 22, 18, 14, 10, 6)(91, 92)(93, 95)(94, 96)(97, 99)(98, 100)(101, 103)(102, 104)(105, 107)(106, 108)(109, 111)(110, 112)(113, 115)(114, 116)(117, 119)(118, 120)(121, 135)(122, 145)(123, 124)(125, 127)(126, 128)(129, 131)(130, 132)(133, 134)(136, 137)(138, 139)(140, 141)(142, 143)(144, 158)(146, 147)(148, 150)(149, 151)(152, 154)(153, 155)(156, 157)(159, 160)(161, 162)(163, 164)(165, 166)(167, 180)(168, 179)(169, 170)(171, 173)(172, 174)(175, 177)(176, 178)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 180, 180 ), ( 180^45 ) }
Outer automorphisms :: reflexible
Dual of E22.1455
Transitivity :: ET+
Graph:: simple bipartite
	v = 47 e = 90 f = 1
	degree seq :: [ 2^45, 45^2 ]

E22.1452 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 45, 90})
Quotient :: edge
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^43, T2^-2 * T1^20 * T2^-1 * T1 * T2^-21, T2^19 * T1^18 * T2^-1 * T1^21 * T2^-1 * T1^21 * T2^-1 * T1 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 53, 73, 90, 87, 86, 83, 82, 79, 78, 76, 72, 69, 68, 65, 64, 61, 60, 56, 59, 51, 50, 47, 46, 43, 42, 38, 37, 35, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 54, 74, 89, 88, 85, 84, 81, 80, 77, 75, 71, 70, 67, 66, 63, 62, 58, 57, 55, 52, 49, 48, 45, 44, 41, 40, 36, 39, 31, 28, 23, 20, 15, 12, 6, 5)(91, 92, 96, 101, 105, 109, 113, 117, 121, 125, 126, 128, 131, 133, 135, 137, 139, 141, 145, 146, 148, 151, 153, 155, 157, 159, 161, 166, 167, 169, 171, 173, 175, 177, 179, 163, 144, 123, 120, 115, 112, 107, 104, 99, 94)(93, 97, 95, 98, 102, 106, 110, 114, 118, 122, 129, 127, 130, 132, 134, 136, 138, 140, 142, 149, 147, 150, 152, 154, 156, 158, 160, 162, 165, 168, 170, 172, 174, 176, 178, 180, 164, 143, 124, 119, 116, 111, 108, 103, 100)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 4^45 ), ( 4^90 ) }
Outer automorphisms :: reflexible
Dual of E22.1456
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 90 f = 45
	degree seq :: [ 45^2, 90 ]

E22.1453 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 45, 90})
Quotient :: edge
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-45 ]
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, 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, 71)(70, 73)(72, 82)(74, 89)(75, 77)(76, 80)(78, 81)(79, 84)(83, 86)(85, 88)(87, 90)(91, 92, 95, 99, 103, 107, 111, 115, 119, 129, 125, 128, 132, 134, 136, 138, 140, 142, 151, 147, 144, 145, 148, 152, 154, 156, 158, 160, 162, 171, 167, 170, 174, 176, 178, 180, 164, 143, 121, 117, 113, 109, 105, 101, 97, 93, 96, 100, 104, 108, 112, 116, 120, 130, 126, 123, 124, 127, 131, 133, 135, 137, 139, 141, 150, 146, 149, 153, 155, 157, 159, 161, 163, 172, 168, 165, 166, 169, 173, 175, 177, 179, 122, 118, 114, 110, 106, 102, 98, 94)
	L = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)
	local type(s) :: { ( 90, 90 ), ( 90^90 ) }
Outer automorphisms :: reflexible
Dual of E22.1454
Transitivity :: ET+
Graph:: bipartite
	v = 46 e = 90 f = 2
	degree seq :: [ 2^45, 90 ]

E22.1454 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 45, 90})
Quotient :: loop
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^45 ]
Map::
	R = (1, 91, 3, 93, 7, 97, 11, 101, 15, 105, 19, 109, 23, 113, 27, 117, 31, 121, 38, 128, 34, 124, 37, 127, 41, 131, 43, 133, 45, 135, 47, 137, 49, 139, 51, 141, 61, 151, 57, 147, 54, 144, 56, 146, 60, 150, 63, 153, 65, 155, 67, 157, 69, 159, 71, 161, 73, 163, 80, 170, 76, 166, 79, 169, 83, 173, 85, 175, 87, 177, 89, 179, 90, 180, 32, 122, 28, 118, 24, 114, 20, 110, 16, 106, 12, 102, 8, 98, 4, 94)(2, 92, 5, 95, 9, 99, 13, 103, 17, 107, 21, 111, 25, 115, 29, 119, 40, 130, 36, 126, 33, 123, 35, 125, 39, 129, 42, 132, 44, 134, 46, 136, 48, 138, 50, 140, 52, 142, 59, 149, 55, 145, 58, 148, 62, 152, 64, 154, 66, 156, 68, 158, 70, 160, 72, 162, 82, 172, 78, 168, 75, 165, 77, 167, 81, 171, 84, 174, 86, 176, 88, 178, 74, 164, 53, 143, 30, 120, 26, 116, 22, 112, 18, 108, 14, 104, 10, 100, 6, 96)
	L = (1, 92)(2, 91)(3, 95)(4, 96)(5, 93)(6, 94)(7, 99)(8, 100)(9, 97)(10, 98)(11, 103)(12, 104)(13, 101)(14, 102)(15, 107)(16, 108)(17, 105)(18, 106)(19, 111)(20, 112)(21, 109)(22, 110)(23, 115)(24, 116)(25, 113)(26, 114)(27, 119)(28, 120)(29, 117)(30, 118)(31, 130)(32, 143)(33, 124)(34, 123)(35, 127)(36, 128)(37, 125)(38, 126)(39, 131)(40, 121)(41, 129)(42, 133)(43, 132)(44, 135)(45, 134)(46, 137)(47, 136)(48, 139)(49, 138)(50, 141)(51, 140)(52, 151)(53, 122)(54, 145)(55, 144)(56, 148)(57, 149)(58, 146)(59, 147)(60, 152)(61, 142)(62, 150)(63, 154)(64, 153)(65, 156)(66, 155)(67, 158)(68, 157)(69, 160)(70, 159)(71, 162)(72, 161)(73, 172)(74, 180)(75, 166)(76, 165)(77, 169)(78, 170)(79, 167)(80, 168)(81, 173)(82, 163)(83, 171)(84, 175)(85, 174)(86, 177)(87, 176)(88, 179)(89, 178)(90, 164)
	local type(s) :: { ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.1453
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 90 f = 46
	degree seq :: [ 90^2 ]

E22.1455 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 45, 90})
Quotient :: loop
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^43, T2^-2 * T1^20 * T2^-1 * T1 * T2^-21, T2^19 * T1^18 * T2^-1 * T1^21 * T2^-1 * T1^21 * T2^-1 * T1 ]
Map::
	R = (1, 91, 3, 93, 9, 99, 13, 103, 17, 107, 21, 111, 25, 115, 29, 119, 33, 123, 53, 143, 73, 163, 89, 179, 88, 178, 85, 175, 84, 174, 81, 171, 80, 170, 77, 167, 75, 165, 72, 162, 69, 159, 68, 158, 65, 155, 64, 154, 61, 151, 60, 150, 56, 146, 59, 149, 52, 142, 49, 139, 48, 138, 45, 135, 44, 134, 41, 131, 40, 130, 36, 126, 39, 129, 32, 122, 27, 117, 24, 114, 19, 109, 16, 106, 11, 101, 8, 98, 2, 92, 7, 97, 4, 94, 10, 100, 14, 104, 18, 108, 22, 112, 26, 116, 30, 120, 34, 124, 54, 144, 74, 164, 90, 180, 87, 177, 86, 176, 83, 173, 82, 172, 79, 169, 78, 168, 76, 166, 71, 161, 70, 160, 67, 157, 66, 156, 63, 153, 62, 152, 58, 148, 57, 147, 55, 145, 51, 141, 50, 140, 47, 137, 46, 136, 43, 133, 42, 132, 38, 128, 37, 127, 35, 125, 31, 121, 28, 118, 23, 113, 20, 110, 15, 105, 12, 102, 6, 96, 5, 95)
	L = (1, 92)(2, 96)(3, 97)(4, 91)(5, 98)(6, 101)(7, 95)(8, 102)(9, 94)(10, 93)(11, 105)(12, 106)(13, 100)(14, 99)(15, 109)(16, 110)(17, 104)(18, 103)(19, 113)(20, 114)(21, 108)(22, 107)(23, 117)(24, 118)(25, 112)(26, 111)(27, 121)(28, 122)(29, 116)(30, 115)(31, 129)(32, 125)(33, 120)(34, 119)(35, 126)(36, 128)(37, 130)(38, 131)(39, 127)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 149)(52, 145)(53, 124)(54, 123)(55, 146)(56, 148)(57, 150)(58, 151)(59, 147)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 165)(72, 166)(73, 144)(74, 143)(75, 168)(76, 167)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 164)(90, 163)
	local type(s) :: { ( 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45, 2, 45 ) }
Outer automorphisms :: reflexible
Dual of E22.1451
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 90 f = 47
	degree seq :: [ 180 ]

E22.1456 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 45, 90})
Quotient :: loop
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-45 ]
Map:: non-degenerate
	R = (1, 91, 3, 93)(2, 92, 6, 96)(4, 94, 7, 97)(5, 95, 10, 100)(8, 98, 11, 101)(9, 99, 14, 104)(12, 102, 15, 105)(13, 103, 18, 108)(16, 106, 19, 109)(17, 107, 22, 112)(20, 110, 23, 113)(21, 111, 26, 116)(24, 114, 27, 117)(25, 115, 30, 120)(28, 118, 31, 121)(29, 119, 46, 136)(32, 122, 55, 145)(33, 123, 35, 125)(34, 124, 38, 128)(36, 126, 39, 129)(37, 127, 42, 132)(40, 130, 43, 133)(41, 131, 45, 135)(44, 134, 48, 138)(47, 137, 50, 140)(49, 139, 52, 142)(51, 141, 54, 144)(53, 143, 69, 159)(56, 146, 58, 148)(57, 147, 61, 151)(59, 149, 62, 152)(60, 150, 65, 155)(63, 153, 66, 156)(64, 154, 68, 158)(67, 157, 71, 161)(70, 160, 73, 163)(72, 162, 75, 165)(74, 164, 77, 167)(76, 166, 90, 180)(78, 168, 89, 179)(79, 169, 81, 171)(80, 170, 84, 174)(82, 172, 85, 175)(83, 173, 87, 177)(86, 176, 88, 178)
	L = (1, 92)(2, 95)(3, 96)(4, 91)(5, 99)(6, 100)(7, 93)(8, 94)(9, 103)(10, 104)(11, 97)(12, 98)(13, 107)(14, 108)(15, 101)(16, 102)(17, 111)(18, 112)(19, 105)(20, 106)(21, 115)(22, 116)(23, 109)(24, 110)(25, 119)(26, 120)(27, 113)(28, 114)(29, 130)(30, 136)(31, 117)(32, 118)(33, 124)(34, 127)(35, 128)(36, 123)(37, 131)(38, 132)(39, 125)(40, 126)(41, 134)(42, 135)(43, 129)(44, 137)(45, 138)(46, 133)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 153)(54, 159)(55, 121)(56, 147)(57, 150)(58, 151)(59, 146)(60, 154)(61, 155)(62, 148)(63, 149)(64, 157)(65, 158)(66, 152)(67, 160)(68, 161)(69, 156)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 176)(77, 180)(78, 145)(79, 170)(80, 173)(81, 174)(82, 169)(83, 168)(84, 177)(85, 171)(86, 172)(87, 179)(88, 175)(89, 122)(90, 178)
	local type(s) :: { ( 45, 90, 45, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.1452
Transitivity :: ET+ VT+ AT
Graph::
	v = 45 e = 90 f = 3
	degree seq :: [ 4^45 ]

E22.1457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 45, 90})
Quotient :: dipole
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|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, Y2^45, (Y3 * Y2^-1)^90 ]
Map::
	R = (1, 91, 2, 92)(3, 93, 5, 95)(4, 94, 6, 96)(7, 97, 9, 99)(8, 98, 10, 100)(11, 101, 13, 103)(12, 102, 14, 104)(15, 105, 17, 107)(16, 106, 18, 108)(19, 109, 21, 111)(20, 110, 22, 112)(23, 113, 25, 115)(24, 114, 26, 116)(27, 117, 29, 119)(28, 118, 30, 120)(31, 121, 36, 126)(32, 122, 51, 141)(33, 123, 34, 124)(35, 125, 37, 127)(38, 128, 39, 129)(40, 130, 41, 131)(42, 132, 43, 133)(44, 134, 45, 135)(46, 136, 47, 137)(48, 138, 49, 139)(50, 140, 55, 145)(52, 142, 53, 143)(54, 144, 56, 146)(57, 147, 58, 148)(59, 149, 60, 150)(61, 151, 62, 152)(63, 153, 64, 154)(65, 155, 66, 156)(67, 157, 68, 158)(69, 159, 75, 165)(70, 160, 89, 179)(71, 161, 74, 164)(72, 162, 73, 163)(76, 166, 77, 167)(78, 168, 79, 169)(80, 170, 81, 171)(82, 172, 83, 173)(84, 174, 85, 175)(86, 176, 87, 177)(88, 178, 90, 180)(181, 271, 183, 273, 187, 277, 191, 281, 195, 285, 199, 289, 203, 293, 207, 297, 211, 301, 214, 304, 217, 307, 219, 309, 221, 311, 223, 313, 225, 315, 227, 317, 229, 319, 235, 325, 232, 322, 234, 324, 237, 327, 239, 329, 241, 331, 243, 333, 245, 335, 247, 337, 249, 339, 253, 343, 251, 341, 257, 347, 259, 349, 261, 351, 263, 353, 265, 355, 267, 357, 270, 360, 269, 359, 212, 302, 208, 298, 204, 294, 200, 290, 196, 286, 192, 282, 188, 278, 184, 274)(182, 272, 185, 275, 189, 279, 193, 283, 197, 287, 201, 291, 205, 295, 209, 299, 216, 306, 213, 303, 215, 305, 218, 308, 220, 310, 222, 312, 224, 314, 226, 316, 228, 318, 230, 320, 233, 323, 236, 326, 238, 328, 240, 330, 242, 332, 244, 334, 246, 336, 248, 338, 255, 345, 252, 342, 254, 344, 256, 346, 258, 348, 260, 350, 262, 352, 264, 354, 266, 356, 268, 358, 250, 340, 231, 321, 210, 300, 206, 296, 202, 292, 198, 288, 194, 284, 190, 280, 186, 276)
	L = (1, 182)(2, 181)(3, 185)(4, 186)(5, 183)(6, 184)(7, 189)(8, 190)(9, 187)(10, 188)(11, 193)(12, 194)(13, 191)(14, 192)(15, 197)(16, 198)(17, 195)(18, 196)(19, 201)(20, 202)(21, 199)(22, 200)(23, 205)(24, 206)(25, 203)(26, 204)(27, 209)(28, 210)(29, 207)(30, 208)(31, 216)(32, 231)(33, 214)(34, 213)(35, 217)(36, 211)(37, 215)(38, 219)(39, 218)(40, 221)(41, 220)(42, 223)(43, 222)(44, 225)(45, 224)(46, 227)(47, 226)(48, 229)(49, 228)(50, 235)(51, 212)(52, 233)(53, 232)(54, 236)(55, 230)(56, 234)(57, 238)(58, 237)(59, 240)(60, 239)(61, 242)(62, 241)(63, 244)(64, 243)(65, 246)(66, 245)(67, 248)(68, 247)(69, 255)(70, 269)(71, 254)(72, 253)(73, 252)(74, 251)(75, 249)(76, 257)(77, 256)(78, 259)(79, 258)(80, 261)(81, 260)(82, 263)(83, 262)(84, 265)(85, 264)(86, 267)(87, 266)(88, 270)(89, 250)(90, 268)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 180, 2, 180 ), ( 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180, 2, 180 ) }
Outer automorphisms :: reflexible
Dual of E22.1460
Graph:: bipartite
	v = 47 e = 180 f = 91
	degree seq :: [ 4^45, 90^2 ]

E22.1458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 45, 90})
Quotient :: dipole
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y2^2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^-22 * Y2^-22, Y1^-1 * Y2^44, Y1^45 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 11, 101, 15, 105, 19, 109, 23, 113, 27, 117, 31, 121, 51, 141, 71, 161, 90, 180, 87, 177, 86, 176, 83, 173, 82, 172, 79, 169, 78, 168, 73, 163, 75, 165, 70, 160, 67, 157, 66, 156, 63, 153, 62, 152, 59, 149, 57, 147, 55, 145, 53, 143, 50, 140, 47, 137, 46, 136, 43, 133, 42, 132, 39, 129, 37, 127, 35, 125, 33, 123, 30, 120, 25, 115, 22, 112, 17, 107, 14, 104, 9, 99, 4, 94)(3, 93, 7, 97, 5, 95, 8, 98, 12, 102, 16, 106, 20, 110, 24, 114, 28, 118, 32, 122, 52, 142, 72, 162, 89, 179, 88, 178, 85, 175, 84, 174, 81, 171, 80, 170, 77, 167, 74, 164, 76, 166, 69, 159, 68, 158, 65, 155, 64, 154, 61, 151, 60, 150, 56, 146, 58, 148, 54, 144, 49, 139, 48, 138, 45, 135, 44, 134, 41, 131, 40, 130, 36, 126, 38, 128, 34, 124, 29, 119, 26, 116, 21, 111, 18, 108, 13, 103, 10, 100)(181, 271, 183, 273, 189, 279, 193, 283, 197, 287, 201, 291, 205, 295, 209, 299, 213, 303, 218, 308, 217, 307, 220, 310, 222, 312, 224, 314, 226, 316, 228, 318, 230, 320, 234, 324, 235, 325, 236, 326, 239, 329, 241, 331, 243, 333, 245, 335, 247, 337, 249, 339, 255, 345, 254, 344, 258, 348, 260, 350, 262, 352, 264, 354, 266, 356, 268, 358, 270, 360, 252, 342, 231, 321, 212, 302, 207, 297, 204, 294, 199, 289, 196, 286, 191, 281, 188, 278, 182, 272, 187, 277, 184, 274, 190, 280, 194, 284, 198, 288, 202, 292, 206, 296, 210, 300, 214, 304, 215, 305, 216, 306, 219, 309, 221, 311, 223, 313, 225, 315, 227, 317, 229, 319, 233, 323, 238, 328, 237, 327, 240, 330, 242, 332, 244, 334, 246, 336, 248, 338, 250, 340, 256, 346, 253, 343, 257, 347, 259, 349, 261, 351, 263, 353, 265, 355, 267, 357, 269, 359, 251, 341, 232, 322, 211, 301, 208, 298, 203, 293, 200, 290, 195, 285, 192, 282, 186, 276, 185, 275)
	L = (1, 183)(2, 187)(3, 189)(4, 190)(5, 181)(6, 185)(7, 184)(8, 182)(9, 193)(10, 194)(11, 188)(12, 186)(13, 197)(14, 198)(15, 192)(16, 191)(17, 201)(18, 202)(19, 196)(20, 195)(21, 205)(22, 206)(23, 200)(24, 199)(25, 209)(26, 210)(27, 204)(28, 203)(29, 213)(30, 214)(31, 208)(32, 207)(33, 218)(34, 215)(35, 216)(36, 219)(37, 220)(38, 217)(39, 221)(40, 222)(41, 223)(42, 224)(43, 225)(44, 226)(45, 227)(46, 228)(47, 229)(48, 230)(49, 233)(50, 234)(51, 212)(52, 211)(53, 238)(54, 235)(55, 236)(56, 239)(57, 240)(58, 237)(59, 241)(60, 242)(61, 243)(62, 244)(63, 245)(64, 246)(65, 247)(66, 248)(67, 249)(68, 250)(69, 255)(70, 256)(71, 232)(72, 231)(73, 257)(74, 258)(75, 254)(76, 253)(77, 259)(78, 260)(79, 261)(80, 262)(81, 263)(82, 264)(83, 265)(84, 266)(85, 267)(86, 268)(87, 269)(88, 270)(89, 251)(90, 252)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E22.1459
Graph:: bipartite
	v = 3 e = 180 f = 135
	degree seq :: [ 90^2, 180 ]

E22.1459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 45, 90})
Quotient :: dipole
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^45 * Y2, (Y3^-1 * Y1^-1)^90 ]
Map::
	R = (1, 91)(2, 92)(3, 93)(4, 94)(5, 95)(6, 96)(7, 97)(8, 98)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 104)(15, 105)(16, 106)(17, 107)(18, 108)(19, 109)(20, 110)(21, 111)(22, 112)(23, 113)(24, 114)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 121)(32, 122)(33, 123)(34, 124)(35, 125)(36, 126)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 133)(44, 134)(45, 135)(46, 136)(47, 137)(48, 138)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 145)(56, 146)(57, 147)(58, 148)(59, 149)(60, 150)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 157)(68, 158)(69, 159)(70, 160)(71, 161)(72, 162)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 169)(80, 170)(81, 171)(82, 172)(83, 173)(84, 174)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(181, 271, 182, 272)(183, 273, 185, 275)(184, 274, 186, 276)(187, 277, 189, 279)(188, 278, 190, 280)(191, 281, 193, 283)(192, 282, 194, 284)(195, 285, 197, 287)(196, 286, 198, 288)(199, 289, 201, 291)(200, 290, 202, 292)(203, 293, 205, 295)(204, 294, 206, 296)(207, 297, 209, 299)(208, 298, 210, 300)(211, 301, 213, 303)(212, 302, 229, 319)(214, 304, 215, 305)(216, 306, 217, 307)(218, 308, 219, 309)(220, 310, 221, 311)(222, 312, 223, 313)(224, 314, 225, 315)(226, 316, 227, 317)(228, 318, 230, 320)(231, 321, 232, 322)(233, 323, 234, 324)(235, 325, 236, 326)(237, 327, 238, 328)(239, 329, 240, 330)(241, 331, 242, 332)(243, 333, 244, 334)(245, 335, 248, 338)(246, 336, 263, 353)(247, 337, 257, 347)(249, 339, 250, 340)(251, 341, 252, 342)(253, 343, 254, 344)(255, 345, 256, 346)(258, 348, 259, 349)(260, 350, 261, 351)(262, 352, 265, 355)(264, 354, 270, 360)(266, 356, 267, 357)(268, 358, 269, 359)
	L = (1, 183)(2, 185)(3, 187)(4, 181)(5, 189)(6, 182)(7, 191)(8, 184)(9, 193)(10, 186)(11, 195)(12, 188)(13, 197)(14, 190)(15, 199)(16, 192)(17, 201)(18, 194)(19, 203)(20, 196)(21, 205)(22, 198)(23, 207)(24, 200)(25, 209)(26, 202)(27, 211)(28, 204)(29, 213)(30, 206)(31, 215)(32, 208)(33, 214)(34, 216)(35, 217)(36, 218)(37, 219)(38, 220)(39, 221)(40, 222)(41, 223)(42, 224)(43, 225)(44, 226)(45, 227)(46, 228)(47, 230)(48, 232)(49, 210)(50, 231)(51, 233)(52, 234)(53, 235)(54, 236)(55, 237)(56, 238)(57, 239)(58, 240)(59, 241)(60, 242)(61, 243)(62, 244)(63, 245)(64, 248)(65, 250)(66, 229)(67, 258)(68, 249)(69, 251)(70, 252)(71, 253)(72, 254)(73, 255)(74, 256)(75, 247)(76, 257)(77, 259)(78, 260)(79, 261)(80, 262)(81, 265)(82, 267)(83, 212)(84, 246)(85, 266)(86, 268)(87, 269)(88, 264)(89, 270)(90, 263)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 90, 180 ), ( 90, 180, 90, 180 ) }
Outer automorphisms :: reflexible
Dual of E22.1458
Graph:: simple bipartite
	v = 135 e = 180 f = 3
	degree seq :: [ 2^90, 4^45 ]

E22.1460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 45, 90})
Quotient :: dipole
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|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^-45 ]
Map::
	R = (1, 91, 2, 92, 5, 95, 9, 99, 13, 103, 17, 107, 21, 111, 25, 115, 29, 119, 33, 123, 34, 124, 36, 126, 39, 129, 41, 131, 43, 133, 45, 135, 47, 137, 49, 139, 52, 142, 53, 143, 55, 145, 58, 148, 60, 150, 62, 152, 64, 154, 66, 156, 68, 158, 72, 162, 71, 161, 74, 164, 77, 167, 79, 169, 81, 171, 83, 173, 85, 175, 87, 177, 70, 160, 51, 141, 31, 121, 27, 117, 23, 113, 19, 109, 15, 105, 11, 101, 7, 97, 3, 93, 6, 96, 10, 100, 14, 104, 18, 108, 22, 112, 26, 116, 30, 120, 38, 128, 35, 125, 37, 127, 40, 130, 42, 132, 44, 134, 46, 136, 48, 138, 50, 140, 57, 147, 54, 144, 56, 146, 59, 149, 61, 151, 63, 153, 65, 155, 67, 157, 69, 159, 76, 166, 73, 163, 75, 165, 78, 168, 80, 170, 82, 172, 84, 174, 86, 176, 88, 178, 90, 180, 89, 179, 32, 122, 28, 118, 24, 114, 20, 110, 16, 106, 12, 102, 8, 98, 4, 94)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 186)(3, 181)(4, 187)(5, 190)(6, 182)(7, 184)(8, 191)(9, 194)(10, 185)(11, 188)(12, 195)(13, 198)(14, 189)(15, 192)(16, 199)(17, 202)(18, 193)(19, 196)(20, 203)(21, 206)(22, 197)(23, 200)(24, 207)(25, 210)(26, 201)(27, 204)(28, 211)(29, 218)(30, 205)(31, 208)(32, 231)(33, 215)(34, 217)(35, 213)(36, 220)(37, 214)(38, 209)(39, 222)(40, 216)(41, 224)(42, 219)(43, 226)(44, 221)(45, 228)(46, 223)(47, 230)(48, 225)(49, 237)(50, 227)(51, 212)(52, 234)(53, 236)(54, 232)(55, 239)(56, 233)(57, 229)(58, 241)(59, 235)(60, 243)(61, 238)(62, 245)(63, 240)(64, 247)(65, 242)(66, 249)(67, 244)(68, 256)(69, 246)(70, 269)(71, 255)(72, 253)(73, 252)(74, 258)(75, 251)(76, 248)(77, 260)(78, 254)(79, 262)(80, 257)(81, 264)(82, 259)(83, 266)(84, 261)(85, 268)(86, 263)(87, 270)(88, 265)(89, 250)(90, 267)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 90 ), ( 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90, 4, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.1457
Graph:: bipartite
	v = 91 e = 180 f = 47
	degree seq :: [ 2^90, 180 ]

E22.1461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 45, 90})
Quotient :: dipole
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|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, Y2^45 * Y1, (Y3 * Y2^-1)^45 ]
Map::
	R = (1, 91, 2, 92)(3, 93, 5, 95)(4, 94, 6, 96)(7, 97, 9, 99)(8, 98, 10, 100)(11, 101, 13, 103)(12, 102, 14, 104)(15, 105, 17, 107)(16, 106, 18, 108)(19, 109, 21, 111)(20, 110, 22, 112)(23, 113, 25, 115)(24, 114, 26, 116)(27, 117, 29, 119)(28, 118, 30, 120)(31, 121, 37, 127)(32, 122, 51, 141)(33, 123, 34, 124)(35, 125, 36, 126)(38, 128, 39, 129)(40, 130, 41, 131)(42, 132, 43, 133)(44, 134, 45, 135)(46, 136, 47, 137)(48, 138, 49, 139)(50, 140, 56, 146)(52, 142, 53, 143)(54, 144, 55, 145)(57, 147, 58, 148)(59, 149, 60, 150)(61, 151, 62, 152)(63, 153, 64, 154)(65, 155, 66, 156)(67, 157, 68, 158)(69, 159, 75, 165)(70, 160, 89, 179)(71, 161, 74, 164)(72, 162, 73, 163)(76, 166, 77, 167)(78, 168, 79, 169)(80, 170, 81, 171)(82, 172, 83, 173)(84, 174, 85, 175)(86, 176, 87, 177)(88, 178, 90, 180)(181, 271, 183, 273, 187, 277, 191, 281, 195, 285, 199, 289, 203, 293, 207, 297, 211, 301, 213, 303, 215, 305, 218, 308, 220, 310, 222, 312, 224, 314, 226, 316, 228, 318, 230, 320, 232, 322, 234, 324, 237, 327, 239, 329, 241, 331, 243, 333, 245, 335, 247, 337, 249, 339, 252, 342, 251, 341, 256, 346, 258, 348, 260, 350, 262, 352, 264, 354, 266, 356, 268, 358, 250, 340, 231, 321, 210, 300, 206, 296, 202, 292, 198, 288, 194, 284, 190, 280, 186, 276, 182, 272, 185, 275, 189, 279, 193, 283, 197, 287, 201, 291, 205, 295, 209, 299, 217, 307, 214, 304, 216, 306, 219, 309, 221, 311, 223, 313, 225, 315, 227, 317, 229, 319, 236, 326, 233, 323, 235, 325, 238, 328, 240, 330, 242, 332, 244, 334, 246, 336, 248, 338, 255, 345, 253, 343, 254, 344, 257, 347, 259, 349, 261, 351, 263, 353, 265, 355, 267, 357, 270, 360, 269, 359, 212, 302, 208, 298, 204, 294, 200, 290, 196, 286, 192, 282, 188, 278, 184, 274)
	L = (1, 182)(2, 181)(3, 185)(4, 186)(5, 183)(6, 184)(7, 189)(8, 190)(9, 187)(10, 188)(11, 193)(12, 194)(13, 191)(14, 192)(15, 197)(16, 198)(17, 195)(18, 196)(19, 201)(20, 202)(21, 199)(22, 200)(23, 205)(24, 206)(25, 203)(26, 204)(27, 209)(28, 210)(29, 207)(30, 208)(31, 217)(32, 231)(33, 214)(34, 213)(35, 216)(36, 215)(37, 211)(38, 219)(39, 218)(40, 221)(41, 220)(42, 223)(43, 222)(44, 225)(45, 224)(46, 227)(47, 226)(48, 229)(49, 228)(50, 236)(51, 212)(52, 233)(53, 232)(54, 235)(55, 234)(56, 230)(57, 238)(58, 237)(59, 240)(60, 239)(61, 242)(62, 241)(63, 244)(64, 243)(65, 246)(66, 245)(67, 248)(68, 247)(69, 255)(70, 269)(71, 254)(72, 253)(73, 252)(74, 251)(75, 249)(76, 257)(77, 256)(78, 259)(79, 258)(80, 261)(81, 260)(82, 263)(83, 262)(84, 265)(85, 264)(86, 267)(87, 266)(88, 270)(89, 250)(90, 268)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 2, 90, 2, 90 ), ( 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90, 2, 90 ) }
Outer automorphisms :: reflexible
Dual of E22.1462
Graph:: bipartite
	v = 46 e = 180 f = 92
	degree seq :: [ 4^45, 180 ]

E22.1462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 45, 90})
Quotient :: dipole
Aut^+ = C90 (small group id <90, 4>)
Aut   = D180 (small group id <180, 11>)
|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 * Y1^43, Y3^-2 * Y1^20 * Y3^-1 * Y1 * Y3^-21, (Y3 * Y2^-1)^90 ]
Map::
	R = (1, 91, 2, 92, 6, 96, 11, 101, 15, 105, 19, 109, 23, 113, 27, 117, 31, 121, 48, 138, 43, 133, 38, 128, 35, 125, 36, 126, 40, 130, 45, 135, 49, 139, 51, 141, 53, 143, 55, 145, 57, 147, 74, 164, 69, 159, 64, 154, 61, 151, 62, 152, 66, 156, 71, 161, 75, 165, 77, 167, 79, 169, 81, 171, 83, 173, 90, 180, 87, 177, 85, 175, 60, 150, 33, 123, 30, 120, 25, 115, 22, 112, 17, 107, 14, 104, 9, 99, 4, 94)(3, 93, 7, 97, 5, 95, 8, 98, 12, 102, 16, 106, 20, 110, 24, 114, 28, 118, 32, 122, 47, 137, 44, 134, 37, 127, 41, 131, 39, 129, 42, 132, 46, 136, 50, 140, 52, 142, 54, 144, 56, 146, 58, 148, 73, 163, 70, 160, 63, 153, 67, 157, 65, 155, 68, 158, 72, 162, 76, 166, 78, 168, 80, 170, 82, 172, 84, 174, 89, 179, 88, 178, 86, 176, 59, 149, 34, 124, 29, 119, 26, 116, 21, 111, 18, 108, 13, 103, 10, 100)(181, 271)(182, 272)(183, 273)(184, 274)(185, 275)(186, 276)(187, 277)(188, 278)(189, 279)(190, 280)(191, 281)(192, 282)(193, 283)(194, 284)(195, 285)(196, 286)(197, 287)(198, 288)(199, 289)(200, 290)(201, 291)(202, 292)(203, 293)(204, 294)(205, 295)(206, 296)(207, 297)(208, 298)(209, 299)(210, 300)(211, 301)(212, 302)(213, 303)(214, 304)(215, 305)(216, 306)(217, 307)(218, 308)(219, 309)(220, 310)(221, 311)(222, 312)(223, 313)(224, 314)(225, 315)(226, 316)(227, 317)(228, 318)(229, 319)(230, 320)(231, 321)(232, 322)(233, 323)(234, 324)(235, 325)(236, 326)(237, 327)(238, 328)(239, 329)(240, 330)(241, 331)(242, 332)(243, 333)(244, 334)(245, 335)(246, 336)(247, 337)(248, 338)(249, 339)(250, 340)(251, 341)(252, 342)(253, 343)(254, 344)(255, 345)(256, 346)(257, 347)(258, 348)(259, 349)(260, 350)(261, 351)(262, 352)(263, 353)(264, 354)(265, 355)(266, 356)(267, 357)(268, 358)(269, 359)(270, 360)
	L = (1, 183)(2, 187)(3, 189)(4, 190)(5, 181)(6, 185)(7, 184)(8, 182)(9, 193)(10, 194)(11, 188)(12, 186)(13, 197)(14, 198)(15, 192)(16, 191)(17, 201)(18, 202)(19, 196)(20, 195)(21, 205)(22, 206)(23, 200)(24, 199)(25, 209)(26, 210)(27, 204)(28, 203)(29, 213)(30, 214)(31, 208)(32, 207)(33, 239)(34, 240)(35, 217)(36, 221)(37, 223)(38, 224)(39, 215)(40, 219)(41, 218)(42, 216)(43, 227)(44, 228)(45, 222)(46, 220)(47, 211)(48, 212)(49, 226)(50, 225)(51, 230)(52, 229)(53, 232)(54, 231)(55, 234)(56, 233)(57, 236)(58, 235)(59, 265)(60, 266)(61, 243)(62, 247)(63, 249)(64, 250)(65, 241)(66, 245)(67, 244)(68, 242)(69, 253)(70, 254)(71, 248)(72, 246)(73, 237)(74, 238)(75, 252)(76, 251)(77, 256)(78, 255)(79, 258)(80, 257)(81, 260)(82, 259)(83, 262)(84, 261)(85, 268)(86, 267)(87, 269)(88, 270)(89, 263)(90, 264)(91, 271)(92, 272)(93, 273)(94, 274)(95, 275)(96, 276)(97, 277)(98, 278)(99, 279)(100, 280)(101, 281)(102, 282)(103, 283)(104, 284)(105, 285)(106, 286)(107, 287)(108, 288)(109, 289)(110, 290)(111, 291)(112, 292)(113, 293)(114, 294)(115, 295)(116, 296)(117, 297)(118, 298)(119, 299)(120, 300)(121, 301)(122, 302)(123, 303)(124, 304)(125, 305)(126, 306)(127, 307)(128, 308)(129, 309)(130, 310)(131, 311)(132, 312)(133, 313)(134, 314)(135, 315)(136, 316)(137, 317)(138, 318)(139, 319)(140, 320)(141, 321)(142, 322)(143, 323)(144, 324)(145, 325)(146, 326)(147, 327)(148, 328)(149, 329)(150, 330)(151, 331)(152, 332)(153, 333)(154, 334)(155, 335)(156, 336)(157, 337)(158, 338)(159, 339)(160, 340)(161, 341)(162, 342)(163, 343)(164, 344)(165, 345)(166, 346)(167, 347)(168, 348)(169, 349)(170, 350)(171, 351)(172, 352)(173, 353)(174, 354)(175, 355)(176, 356)(177, 357)(178, 358)(179, 359)(180, 360)
	local type(s) :: { ( 4, 180 ), ( 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180, 4, 180 ) }
Outer automorphisms :: reflexible
Dual of E22.1461
Graph:: simple bipartite
	v = 92 e = 180 f = 46
	degree seq :: [ 2^90, 90^2 ]

E22.1463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 23})
Quotient :: dipole
Aut^+ = D92 (small group id <92, 3>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|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)^23 ]
Map:: polytopal non-degenerate
	R = (1, 93, 2, 94)(3, 95, 5, 97)(4, 96, 8, 100)(6, 98, 10, 102)(7, 99, 11, 103)(9, 101, 13, 105)(12, 104, 16, 108)(14, 106, 18, 110)(15, 107, 19, 111)(17, 109, 21, 113)(20, 112, 24, 116)(22, 114, 26, 118)(23, 115, 27, 119)(25, 117, 29, 121)(28, 120, 32, 124)(30, 122, 33, 125)(31, 123, 36, 128)(34, 126, 49, 141)(35, 127, 52, 144)(37, 129, 53, 145)(38, 130, 56, 148)(39, 131, 54, 146)(40, 132, 55, 147)(41, 133, 57, 149)(42, 134, 58, 150)(43, 135, 59, 151)(44, 136, 60, 152)(45, 137, 61, 153)(46, 138, 62, 154)(47, 139, 63, 155)(48, 140, 64, 156)(50, 142, 65, 157)(51, 143, 66, 158)(67, 159, 69, 161)(68, 160, 72, 164)(70, 162, 73, 165)(71, 163, 76, 168)(74, 166, 89, 181)(75, 167, 90, 182)(77, 169, 88, 180)(78, 170, 92, 184)(79, 171, 91, 183)(80, 172, 85, 177)(81, 173, 84, 176)(82, 174, 87, 179)(83, 175, 86, 178)(185, 277, 187, 279)(186, 278, 189, 281)(188, 280, 191, 283)(190, 282, 193, 285)(192, 284, 195, 287)(194, 286, 197, 289)(196, 288, 199, 291)(198, 290, 201, 293)(200, 292, 203, 295)(202, 294, 205, 297)(204, 296, 207, 299)(206, 298, 209, 301)(208, 300, 211, 303)(210, 302, 213, 305)(212, 304, 215, 307)(214, 306, 233, 325)(216, 308, 220, 312)(217, 309, 218, 310)(219, 311, 222, 314)(221, 313, 223, 315)(224, 316, 226, 318)(225, 317, 227, 319)(228, 320, 230, 322)(229, 321, 231, 323)(232, 324, 235, 327)(234, 326, 253, 345)(236, 328, 240, 332)(237, 329, 238, 330)(239, 331, 242, 334)(241, 333, 243, 335)(244, 336, 246, 338)(245, 337, 247, 339)(248, 340, 250, 342)(249, 341, 251, 343)(252, 344, 255, 347)(254, 346, 273, 365)(256, 348, 260, 352)(257, 349, 258, 350)(259, 351, 262, 354)(261, 353, 263, 355)(264, 356, 266, 358)(265, 357, 267, 359)(268, 360, 270, 362)(269, 361, 271, 363)(272, 364, 275, 367)(274, 366, 276, 368)
	L = (1, 188)(2, 190)(3, 191)(4, 185)(5, 193)(6, 186)(7, 187)(8, 196)(9, 189)(10, 198)(11, 199)(12, 192)(13, 201)(14, 194)(15, 195)(16, 204)(17, 197)(18, 206)(19, 207)(20, 200)(21, 209)(22, 202)(23, 203)(24, 212)(25, 205)(26, 214)(27, 215)(28, 208)(29, 233)(30, 210)(31, 211)(32, 236)(33, 237)(34, 238)(35, 239)(36, 240)(37, 241)(38, 242)(39, 243)(40, 244)(41, 245)(42, 246)(43, 247)(44, 248)(45, 249)(46, 250)(47, 251)(48, 252)(49, 213)(50, 254)(51, 255)(52, 216)(53, 217)(54, 218)(55, 219)(56, 220)(57, 221)(58, 222)(59, 223)(60, 224)(61, 225)(62, 226)(63, 227)(64, 228)(65, 229)(66, 230)(67, 231)(68, 232)(69, 273)(70, 234)(71, 235)(72, 274)(73, 272)(74, 275)(75, 269)(76, 276)(77, 268)(78, 271)(79, 270)(80, 265)(81, 264)(82, 267)(83, 266)(84, 261)(85, 259)(86, 263)(87, 262)(88, 257)(89, 253)(90, 256)(91, 258)(92, 260)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1464
Graph:: simple bipartite
	v = 92 e = 184 f = 50
	degree seq :: [ 4^92 ]

E22.1464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 23})
Quotient :: dipole
Aut^+ = D92 (small group id <92, 3>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (R * Y3)^2, Y1^23 ]
Map:: polytopal non-degenerate
	R = (1, 93, 2, 94, 6, 98, 13, 105, 21, 113, 29, 121, 37, 129, 45, 137, 53, 145, 61, 153, 69, 161, 77, 169, 84, 176, 76, 168, 68, 160, 60, 152, 52, 144, 44, 136, 36, 128, 28, 120, 20, 112, 12, 104, 5, 97)(3, 95, 9, 101, 17, 109, 25, 117, 33, 125, 41, 133, 49, 141, 57, 149, 65, 157, 73, 165, 81, 173, 88, 180, 85, 177, 78, 170, 70, 162, 62, 154, 54, 146, 46, 138, 38, 130, 30, 122, 22, 114, 14, 106, 7, 99)(4, 96, 11, 103, 19, 111, 27, 119, 35, 127, 43, 135, 51, 143, 59, 151, 67, 159, 75, 167, 83, 175, 90, 182, 86, 178, 79, 171, 71, 163, 63, 155, 55, 147, 47, 139, 39, 131, 31, 123, 23, 115, 15, 107, 8, 100)(10, 102, 16, 108, 24, 116, 32, 124, 40, 132, 48, 140, 56, 148, 64, 156, 72, 164, 80, 172, 87, 179, 91, 183, 92, 184, 89, 181, 82, 174, 74, 166, 66, 158, 58, 150, 50, 142, 42, 134, 34, 126, 26, 118, 18, 110)(185, 277, 187, 279)(186, 278, 191, 283)(188, 280, 194, 286)(189, 281, 193, 285)(190, 282, 198, 290)(192, 284, 200, 292)(195, 287, 202, 294)(196, 288, 201, 293)(197, 289, 206, 298)(199, 291, 208, 300)(203, 295, 210, 302)(204, 296, 209, 301)(205, 297, 214, 306)(207, 299, 216, 308)(211, 303, 218, 310)(212, 304, 217, 309)(213, 305, 222, 314)(215, 307, 224, 316)(219, 311, 226, 318)(220, 312, 225, 317)(221, 313, 230, 322)(223, 315, 232, 324)(227, 319, 234, 326)(228, 320, 233, 325)(229, 321, 238, 330)(231, 323, 240, 332)(235, 327, 242, 334)(236, 328, 241, 333)(237, 329, 246, 338)(239, 331, 248, 340)(243, 335, 250, 342)(244, 336, 249, 341)(245, 337, 254, 346)(247, 339, 256, 348)(251, 343, 258, 350)(252, 344, 257, 349)(253, 345, 262, 354)(255, 347, 264, 356)(259, 351, 266, 358)(260, 352, 265, 357)(261, 353, 269, 361)(263, 355, 271, 363)(267, 359, 273, 365)(268, 360, 272, 364)(270, 362, 275, 367)(274, 366, 276, 368)
	L = (1, 188)(2, 192)(3, 194)(4, 185)(5, 195)(6, 199)(7, 200)(8, 186)(9, 202)(10, 187)(11, 189)(12, 203)(13, 207)(14, 208)(15, 190)(16, 191)(17, 210)(18, 193)(19, 196)(20, 211)(21, 215)(22, 216)(23, 197)(24, 198)(25, 218)(26, 201)(27, 204)(28, 219)(29, 223)(30, 224)(31, 205)(32, 206)(33, 226)(34, 209)(35, 212)(36, 227)(37, 231)(38, 232)(39, 213)(40, 214)(41, 234)(42, 217)(43, 220)(44, 235)(45, 239)(46, 240)(47, 221)(48, 222)(49, 242)(50, 225)(51, 228)(52, 243)(53, 247)(54, 248)(55, 229)(56, 230)(57, 250)(58, 233)(59, 236)(60, 251)(61, 255)(62, 256)(63, 237)(64, 238)(65, 258)(66, 241)(67, 244)(68, 259)(69, 263)(70, 264)(71, 245)(72, 246)(73, 266)(74, 249)(75, 252)(76, 267)(77, 270)(78, 271)(79, 253)(80, 254)(81, 273)(82, 257)(83, 260)(84, 274)(85, 275)(86, 261)(87, 262)(88, 276)(89, 265)(90, 268)(91, 269)(92, 272)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 4^4 ), ( 4^46 ) }
Outer automorphisms :: reflexible
Dual of E22.1463
Graph:: simple bipartite
	v = 50 e = 184 f = 92
	degree seq :: [ 4^46, 46^4 ]

E22.1465 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 23})
Quotient :: edge
Aut^+ = C23 : C4 (small group id <92, 1>)
Aut   = (C46 x C2) : C2 (small group id <184, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1 * T2^-1, T1^4, T2^23 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 84, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 71, 79, 87, 88, 80, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 90, 89, 82, 74, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 91, 92, 86, 78, 70, 62, 54, 46, 38, 30, 22, 14)(93, 94, 98, 96)(95, 100, 105, 102)(97, 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, 137, 134)(128, 131, 138, 135)(133, 140, 145, 142)(136, 139, 146, 143)(141, 148, 153, 150)(144, 147, 154, 151)(149, 156, 161, 158)(152, 155, 162, 159)(157, 164, 169, 166)(160, 163, 170, 167)(165, 172, 177, 174)(168, 171, 178, 175)(173, 180, 183, 181)(176, 179, 184, 182)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 8^4 ), ( 8^23 ) }
Outer automorphisms :: reflexible
Dual of E22.1466
Transitivity :: ET+
Graph:: simple bipartite
	v = 27 e = 92 f = 23
	degree seq :: [ 4^23, 23^4 ]

E22.1466 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 23})
Quotient :: loop
Aut^+ = C23 : C4 (small group id <92, 1>)
Aut   = (C46 x C2) : C2 (small group id <184, 7>)
|r| :: 2
Presentation :: [ F^2, T1^-1 * T2^-2 * T1^-1, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^23 ]
Map:: non-degenerate
	R = (1, 93, 3, 95, 6, 98, 5, 97)(2, 94, 7, 99, 4, 96, 8, 100)(9, 101, 13, 105, 10, 102, 14, 106)(11, 103, 15, 107, 12, 104, 16, 108)(17, 109, 21, 113, 18, 110, 22, 114)(19, 111, 23, 115, 20, 112, 24, 116)(25, 117, 29, 121, 26, 118, 30, 122)(27, 119, 31, 123, 28, 120, 32, 124)(33, 125, 50, 142, 34, 126, 49, 141)(35, 127, 64, 156, 40, 132, 66, 158)(36, 128, 68, 160, 38, 130, 70, 162)(37, 129, 71, 163, 39, 131, 72, 164)(41, 133, 73, 165, 42, 134, 74, 166)(43, 135, 65, 157, 44, 136, 63, 155)(45, 137, 69, 161, 46, 138, 67, 159)(47, 139, 60, 152, 48, 140, 59, 151)(51, 143, 76, 168, 52, 144, 75, 167)(53, 145, 78, 170, 54, 146, 77, 169)(55, 147, 80, 172, 56, 148, 79, 171)(57, 149, 82, 174, 58, 150, 81, 173)(61, 153, 84, 176, 62, 154, 83, 175)(85, 177, 87, 179, 86, 178, 88, 180)(89, 181, 91, 183, 90, 182, 92, 184)
	L = (1, 94)(2, 98)(3, 101)(4, 93)(5, 102)(6, 96)(7, 103)(8, 104)(9, 97)(10, 95)(11, 100)(12, 99)(13, 109)(14, 110)(15, 111)(16, 112)(17, 106)(18, 105)(19, 108)(20, 107)(21, 117)(22, 118)(23, 119)(24, 120)(25, 114)(26, 113)(27, 116)(28, 115)(29, 125)(30, 126)(31, 151)(32, 152)(33, 122)(34, 121)(35, 155)(36, 159)(37, 160)(38, 161)(39, 162)(40, 157)(41, 158)(42, 156)(43, 167)(44, 168)(45, 169)(46, 170)(47, 164)(48, 163)(49, 166)(50, 165)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 124)(60, 123)(61, 181)(62, 182)(63, 132)(64, 133)(65, 127)(66, 134)(67, 130)(68, 131)(69, 128)(70, 129)(71, 139)(72, 140)(73, 141)(74, 142)(75, 136)(76, 135)(77, 138)(78, 137)(79, 144)(80, 143)(81, 146)(82, 145)(83, 148)(84, 147)(85, 150)(86, 149)(87, 184)(88, 183)(89, 154)(90, 153)(91, 179)(92, 180)
	local type(s) :: { ( 4, 23, 4, 23, 4, 23, 4, 23 ) }
Outer automorphisms :: reflexible
Dual of E22.1465
Transitivity :: ET+ VT+ AT
Graph::
	v = 23 e = 92 f = 27
	degree seq :: [ 8^23 ]

E22.1467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 23})
Quotient :: dipole
Aut^+ = C23 : C4 (small group id <92, 1>)
Aut   = (C46 x C2) : C2 (small group id <184, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^4, (Y3^-1 * Y1^-1)^4, Y2^23 ]
Map::
	R = (1, 93, 2, 94, 6, 98, 4, 96)(3, 95, 8, 100, 13, 105, 10, 102)(5, 97, 7, 99, 14, 106, 11, 103)(9, 101, 16, 108, 21, 113, 18, 110)(12, 104, 15, 107, 22, 114, 19, 111)(17, 109, 24, 116, 29, 121, 26, 118)(20, 112, 23, 115, 30, 122, 27, 119)(25, 117, 32, 124, 37, 129, 34, 126)(28, 120, 31, 123, 38, 130, 35, 127)(33, 125, 40, 132, 45, 137, 42, 134)(36, 128, 39, 131, 46, 138, 43, 135)(41, 133, 48, 140, 53, 145, 50, 142)(44, 136, 47, 139, 54, 146, 51, 143)(49, 141, 56, 148, 61, 153, 58, 150)(52, 144, 55, 147, 62, 154, 59, 151)(57, 149, 64, 156, 69, 161, 66, 158)(60, 152, 63, 155, 70, 162, 67, 159)(65, 157, 72, 164, 77, 169, 74, 166)(68, 160, 71, 163, 78, 170, 75, 167)(73, 165, 80, 172, 85, 177, 82, 174)(76, 168, 79, 171, 86, 178, 83, 175)(81, 173, 88, 180, 91, 183, 89, 181)(84, 176, 87, 179, 92, 184, 90, 182)(185, 277, 187, 279, 193, 285, 201, 293, 209, 301, 217, 309, 225, 317, 233, 325, 241, 333, 249, 341, 257, 349, 265, 357, 268, 360, 260, 352, 252, 344, 244, 336, 236, 328, 228, 320, 220, 312, 212, 304, 204, 296, 196, 288, 189, 281)(186, 278, 191, 283, 199, 291, 207, 299, 215, 307, 223, 315, 231, 323, 239, 331, 247, 339, 255, 347, 263, 355, 271, 363, 272, 364, 264, 356, 256, 348, 248, 340, 240, 332, 232, 324, 224, 316, 216, 308, 208, 300, 200, 292, 192, 284)(188, 280, 195, 287, 203, 295, 211, 303, 219, 311, 227, 319, 235, 327, 243, 335, 251, 343, 259, 351, 267, 359, 274, 366, 273, 365, 266, 358, 258, 350, 250, 342, 242, 334, 234, 326, 226, 318, 218, 310, 210, 302, 202, 294, 194, 286)(190, 282, 197, 289, 205, 297, 213, 305, 221, 313, 229, 321, 237, 329, 245, 337, 253, 345, 261, 353, 269, 361, 275, 367, 276, 368, 270, 362, 262, 354, 254, 346, 246, 338, 238, 330, 230, 322, 222, 314, 214, 306, 206, 298, 198, 290)
	L = (1, 187)(2, 191)(3, 193)(4, 195)(5, 185)(6, 197)(7, 199)(8, 186)(9, 201)(10, 188)(11, 203)(12, 189)(13, 205)(14, 190)(15, 207)(16, 192)(17, 209)(18, 194)(19, 211)(20, 196)(21, 213)(22, 198)(23, 215)(24, 200)(25, 217)(26, 202)(27, 219)(28, 204)(29, 221)(30, 206)(31, 223)(32, 208)(33, 225)(34, 210)(35, 227)(36, 212)(37, 229)(38, 214)(39, 231)(40, 216)(41, 233)(42, 218)(43, 235)(44, 220)(45, 237)(46, 222)(47, 239)(48, 224)(49, 241)(50, 226)(51, 243)(52, 228)(53, 245)(54, 230)(55, 247)(56, 232)(57, 249)(58, 234)(59, 251)(60, 236)(61, 253)(62, 238)(63, 255)(64, 240)(65, 257)(66, 242)(67, 259)(68, 244)(69, 261)(70, 246)(71, 263)(72, 248)(73, 265)(74, 250)(75, 267)(76, 252)(77, 269)(78, 254)(79, 271)(80, 256)(81, 268)(82, 258)(83, 274)(84, 260)(85, 275)(86, 262)(87, 272)(88, 264)(89, 266)(90, 273)(91, 276)(92, 270)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1468
Graph:: bipartite
	v = 27 e = 184 f = 115
	degree seq :: [ 8^23, 46^4 ]

E22.1468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 23})
Quotient :: dipole
Aut^+ = C23 : C4 (small group id <92, 1>)
Aut   = (C46 x C2) : C2 (small group id <184, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^23 ]
Map::
	R = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)(185, 277, 186, 278, 190, 282, 188, 280)(187, 279, 192, 284, 197, 289, 194, 286)(189, 281, 191, 283, 198, 290, 195, 287)(193, 285, 200, 292, 205, 297, 202, 294)(196, 288, 199, 291, 206, 298, 203, 295)(201, 293, 208, 300, 213, 305, 210, 302)(204, 296, 207, 299, 214, 306, 211, 303)(209, 301, 216, 308, 221, 313, 218, 310)(212, 304, 215, 307, 222, 314, 219, 311)(217, 309, 224, 316, 229, 321, 226, 318)(220, 312, 223, 315, 230, 322, 227, 319)(225, 317, 232, 324, 237, 329, 234, 326)(228, 320, 231, 323, 238, 330, 235, 327)(233, 325, 240, 332, 245, 337, 242, 334)(236, 328, 239, 331, 246, 338, 243, 335)(241, 333, 248, 340, 253, 345, 250, 342)(244, 336, 247, 339, 254, 346, 251, 343)(249, 341, 256, 348, 261, 353, 258, 350)(252, 344, 255, 347, 262, 354, 259, 351)(257, 349, 264, 356, 269, 361, 266, 358)(260, 352, 263, 355, 270, 362, 267, 359)(265, 357, 272, 364, 275, 367, 273, 365)(268, 360, 271, 363, 276, 368, 274, 366)
	L = (1, 187)(2, 191)(3, 193)(4, 195)(5, 185)(6, 197)(7, 199)(8, 186)(9, 201)(10, 188)(11, 203)(12, 189)(13, 205)(14, 190)(15, 207)(16, 192)(17, 209)(18, 194)(19, 211)(20, 196)(21, 213)(22, 198)(23, 215)(24, 200)(25, 217)(26, 202)(27, 219)(28, 204)(29, 221)(30, 206)(31, 223)(32, 208)(33, 225)(34, 210)(35, 227)(36, 212)(37, 229)(38, 214)(39, 231)(40, 216)(41, 233)(42, 218)(43, 235)(44, 220)(45, 237)(46, 222)(47, 239)(48, 224)(49, 241)(50, 226)(51, 243)(52, 228)(53, 245)(54, 230)(55, 247)(56, 232)(57, 249)(58, 234)(59, 251)(60, 236)(61, 253)(62, 238)(63, 255)(64, 240)(65, 257)(66, 242)(67, 259)(68, 244)(69, 261)(70, 246)(71, 263)(72, 248)(73, 265)(74, 250)(75, 267)(76, 252)(77, 269)(78, 254)(79, 271)(80, 256)(81, 268)(82, 258)(83, 274)(84, 260)(85, 275)(86, 262)(87, 272)(88, 264)(89, 266)(90, 273)(91, 276)(92, 270)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 8, 46 ), ( 8, 46, 8, 46, 8, 46, 8, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1467
Graph:: simple bipartite
	v = 115 e = 184 f = 27
	degree seq :: [ 2^92, 8^23 ]

E22.1469 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 46, 46})
Quotient :: regular
Aut^+ = C46 x C2 (small group id <92, 4>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^46 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 40, 36, 33, 34, 37, 41, 44, 47, 49, 51, 53, 63, 59, 56, 57, 60, 64, 67, 70, 72, 74, 76, 86, 82, 79, 80, 83, 87, 90, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 46, 43, 39, 35, 38, 42, 45, 48, 50, 52, 54, 69, 66, 62, 58, 61, 65, 68, 71, 73, 75, 77, 92, 89, 85, 81, 84, 88, 91, 78, 55, 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, 46)(32, 55)(33, 35)(34, 38)(36, 39)(37, 42)(40, 43)(41, 45)(44, 48)(47, 50)(49, 52)(51, 54)(53, 69)(56, 58)(57, 61)(59, 62)(60, 65)(63, 66)(64, 68)(67, 71)(70, 73)(72, 75)(74, 77)(76, 92)(78, 90)(79, 81)(80, 84)(82, 85)(83, 88)(86, 89)(87, 91)
	local type(s) :: { ( 46^46 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 46 f = 2
	degree seq :: [ 46^2 ]

E22.1470 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 46, 46})
Quotient :: edge
Aut^+ = C46 x C2 (small group id <92, 4>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^46 ]
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, 73, 76, 71, 79, 81, 83, 85, 87, 92, 91, 89, 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, 75, 72, 74, 77, 78, 80, 82, 84, 86, 88, 90, 70, 51, 30, 26, 22, 18, 14, 10, 6)(93, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 121)(120, 122)(123, 128)(124, 143)(125, 126)(127, 129)(130, 131)(132, 133)(134, 135)(136, 137)(138, 139)(140, 141)(142, 147)(144, 145)(146, 148)(149, 150)(151, 152)(153, 154)(155, 156)(157, 158)(159, 160)(161, 167)(162, 181)(163, 169)(164, 165)(166, 168)(170, 171)(172, 173)(174, 175)(176, 177)(178, 179)(180, 184)(182, 183)
	L = (1, 93)(2, 94)(3, 95)(4, 96)(5, 97)(6, 98)(7, 99)(8, 100)(9, 101)(10, 102)(11, 103)(12, 104)(13, 105)(14, 106)(15, 107)(16, 108)(17, 109)(18, 110)(19, 111)(20, 112)(21, 113)(22, 114)(23, 115)(24, 116)(25, 117)(26, 118)(27, 119)(28, 120)(29, 121)(30, 122)(31, 123)(32, 124)(33, 125)(34, 126)(35, 127)(36, 128)(37, 129)(38, 130)(39, 131)(40, 132)(41, 133)(42, 134)(43, 135)(44, 136)(45, 137)(46, 138)(47, 139)(48, 140)(49, 141)(50, 142)(51, 143)(52, 144)(53, 145)(54, 146)(55, 147)(56, 148)(57, 149)(58, 150)(59, 151)(60, 152)(61, 153)(62, 154)(63, 155)(64, 156)(65, 157)(66, 158)(67, 159)(68, 160)(69, 161)(70, 162)(71, 163)(72, 164)(73, 165)(74, 166)(75, 167)(76, 168)(77, 169)(78, 170)(79, 171)(80, 172)(81, 173)(82, 174)(83, 175)(84, 176)(85, 177)(86, 178)(87, 179)(88, 180)(89, 181)(90, 182)(91, 183)(92, 184)
	local type(s) :: { ( 92, 92 ), ( 92^46 ) }
Outer automorphisms :: reflexible
Dual of E22.1471
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 92 f = 2
	degree seq :: [ 2^46, 46^2 ]

E22.1471 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 46, 46})
Quotient :: loop
Aut^+ = C46 x C2 (small group id <92, 4>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^46 ]
Map::
	R = (1, 93, 3, 95, 7, 99, 11, 103, 15, 107, 19, 111, 23, 115, 27, 119, 31, 123, 35, 127, 37, 129, 39, 131, 41, 133, 43, 135, 45, 137, 47, 139, 50, 142, 51, 143, 53, 145, 55, 147, 57, 149, 59, 151, 61, 153, 63, 155, 65, 157, 70, 162, 72, 164, 74, 166, 76, 168, 78, 170, 67, 159, 81, 173, 85, 177, 86, 178, 88, 180, 90, 182, 92, 184, 83, 175, 32, 124, 28, 120, 24, 116, 20, 112, 16, 108, 12, 104, 8, 100, 4, 96)(2, 94, 5, 97, 9, 101, 13, 105, 17, 109, 21, 113, 25, 117, 29, 121, 33, 125, 34, 126, 36, 128, 38, 130, 40, 132, 42, 134, 44, 136, 46, 138, 48, 140, 52, 144, 54, 146, 56, 148, 58, 150, 60, 152, 62, 154, 64, 156, 68, 160, 69, 161, 71, 163, 73, 165, 75, 167, 77, 169, 79, 171, 80, 172, 82, 174, 87, 179, 89, 181, 91, 183, 84, 176, 66, 158, 49, 141, 30, 122, 26, 118, 22, 114, 18, 110, 14, 106, 10, 102, 6, 98)
	L = (1, 94)(2, 93)(3, 97)(4, 98)(5, 95)(6, 96)(7, 101)(8, 102)(9, 99)(10, 100)(11, 105)(12, 106)(13, 103)(14, 104)(15, 109)(16, 110)(17, 107)(18, 108)(19, 113)(20, 114)(21, 111)(22, 112)(23, 117)(24, 118)(25, 115)(26, 116)(27, 121)(28, 122)(29, 119)(30, 120)(31, 125)(32, 141)(33, 123)(34, 127)(35, 126)(36, 129)(37, 128)(38, 131)(39, 130)(40, 133)(41, 132)(42, 135)(43, 134)(44, 137)(45, 136)(46, 139)(47, 138)(48, 142)(49, 124)(50, 140)(51, 144)(52, 143)(53, 146)(54, 145)(55, 148)(56, 147)(57, 150)(58, 149)(59, 152)(60, 151)(61, 154)(62, 153)(63, 156)(64, 155)(65, 160)(66, 175)(67, 171)(68, 157)(69, 162)(70, 161)(71, 164)(72, 163)(73, 166)(74, 165)(75, 168)(76, 167)(77, 170)(78, 169)(79, 159)(80, 173)(81, 172)(82, 177)(83, 158)(84, 184)(85, 174)(86, 179)(87, 178)(88, 181)(89, 180)(90, 183)(91, 182)(92, 176)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1470
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 92 f = 48
	degree seq :: [ 92^2 ]

E22.1472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 46, 46})
Quotient :: dipole
Aut^+ = C46 x C2 (small group id <92, 4>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|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, Y2^46, (Y3 * Y2^-1)^46 ]
Map::
	R = (1, 93, 2, 94)(3, 95, 5, 97)(4, 96, 6, 98)(7, 99, 9, 101)(8, 100, 10, 102)(11, 103, 13, 105)(12, 104, 14, 106)(15, 107, 17, 109)(16, 108, 18, 110)(19, 111, 21, 113)(20, 112, 22, 114)(23, 115, 25, 117)(24, 116, 26, 118)(27, 119, 29, 121)(28, 120, 30, 122)(31, 123, 33, 125)(32, 124, 49, 141)(34, 126, 35, 127)(36, 128, 37, 129)(38, 130, 39, 131)(40, 132, 41, 133)(42, 134, 43, 135)(44, 136, 45, 137)(46, 138, 47, 139)(48, 140, 50, 142)(51, 143, 52, 144)(53, 145, 54, 146)(55, 147, 56, 148)(57, 149, 58, 150)(59, 151, 60, 152)(61, 153, 62, 154)(63, 155, 64, 156)(65, 157, 68, 160)(66, 158, 83, 175)(67, 159, 79, 171)(69, 161, 70, 162)(71, 163, 72, 164)(73, 165, 74, 166)(75, 167, 76, 168)(77, 169, 78, 170)(80, 172, 81, 173)(82, 174, 85, 177)(84, 176, 92, 184)(86, 178, 87, 179)(88, 180, 89, 181)(90, 182, 91, 183)(185, 277, 187, 279, 191, 283, 195, 287, 199, 291, 203, 295, 207, 299, 211, 303, 215, 307, 219, 311, 221, 313, 223, 315, 225, 317, 227, 319, 229, 321, 231, 323, 234, 326, 235, 327, 237, 329, 239, 331, 241, 333, 243, 335, 245, 337, 247, 339, 249, 341, 254, 346, 256, 348, 258, 350, 260, 352, 262, 354, 251, 343, 265, 357, 269, 361, 270, 362, 272, 364, 274, 366, 276, 368, 267, 359, 216, 308, 212, 304, 208, 300, 204, 296, 200, 292, 196, 288, 192, 284, 188, 280)(186, 278, 189, 281, 193, 285, 197, 289, 201, 293, 205, 297, 209, 301, 213, 305, 217, 309, 218, 310, 220, 312, 222, 314, 224, 316, 226, 318, 228, 320, 230, 322, 232, 324, 236, 328, 238, 330, 240, 332, 242, 334, 244, 336, 246, 338, 248, 340, 252, 344, 253, 345, 255, 347, 257, 349, 259, 351, 261, 353, 263, 355, 264, 356, 266, 358, 271, 363, 273, 365, 275, 367, 268, 360, 250, 342, 233, 325, 214, 306, 210, 302, 206, 298, 202, 294, 198, 290, 194, 286, 190, 282)
	L = (1, 186)(2, 185)(3, 189)(4, 190)(5, 187)(6, 188)(7, 193)(8, 194)(9, 191)(10, 192)(11, 197)(12, 198)(13, 195)(14, 196)(15, 201)(16, 202)(17, 199)(18, 200)(19, 205)(20, 206)(21, 203)(22, 204)(23, 209)(24, 210)(25, 207)(26, 208)(27, 213)(28, 214)(29, 211)(30, 212)(31, 217)(32, 233)(33, 215)(34, 219)(35, 218)(36, 221)(37, 220)(38, 223)(39, 222)(40, 225)(41, 224)(42, 227)(43, 226)(44, 229)(45, 228)(46, 231)(47, 230)(48, 234)(49, 216)(50, 232)(51, 236)(52, 235)(53, 238)(54, 237)(55, 240)(56, 239)(57, 242)(58, 241)(59, 244)(60, 243)(61, 246)(62, 245)(63, 248)(64, 247)(65, 252)(66, 267)(67, 263)(68, 249)(69, 254)(70, 253)(71, 256)(72, 255)(73, 258)(74, 257)(75, 260)(76, 259)(77, 262)(78, 261)(79, 251)(80, 265)(81, 264)(82, 269)(83, 250)(84, 276)(85, 266)(86, 271)(87, 270)(88, 273)(89, 272)(90, 275)(91, 274)(92, 268)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.1473
Graph:: bipartite
	v = 48 e = 184 f = 94
	degree seq :: [ 4^46, 92^2 ]

E22.1473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 46, 46})
Quotient :: dipole
Aut^+ = C46 x C2 (small group id <92, 4>)
Aut   = C2 x C2 x D46 (small group id <184, 11>)
|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^-46, Y1^46 ]
Map::
	R = (1, 93, 2, 94, 5, 97, 9, 101, 13, 105, 17, 109, 21, 113, 25, 117, 29, 121, 43, 135, 39, 131, 35, 127, 38, 130, 42, 134, 46, 138, 48, 140, 50, 142, 52, 144, 54, 146, 67, 159, 63, 155, 59, 151, 56, 148, 57, 149, 60, 152, 64, 156, 68, 160, 70, 162, 72, 164, 74, 166, 76, 168, 89, 181, 85, 177, 81, 173, 84, 176, 88, 180, 91, 183, 92, 184, 32, 124, 28, 120, 24, 116, 20, 112, 16, 108, 12, 104, 8, 100, 4, 96)(3, 95, 6, 98, 10, 102, 14, 106, 18, 110, 22, 114, 26, 118, 30, 122, 44, 136, 40, 132, 36, 128, 33, 125, 34, 126, 37, 129, 41, 133, 45, 137, 47, 139, 49, 141, 51, 143, 53, 145, 66, 158, 62, 154, 58, 150, 61, 153, 65, 157, 69, 161, 71, 163, 73, 165, 75, 167, 77, 169, 90, 182, 86, 178, 82, 174, 79, 171, 80, 172, 83, 175, 87, 179, 78, 170, 55, 147, 31, 123, 27, 119, 23, 115, 19, 111, 15, 107, 11, 103, 7, 99)(185, 277)(186, 278)(187, 279)(188, 280)(189, 281)(190, 282)(191, 283)(192, 284)(193, 285)(194, 286)(195, 287)(196, 288)(197, 289)(198, 290)(199, 291)(200, 292)(201, 293)(202, 294)(203, 295)(204, 296)(205, 297)(206, 298)(207, 299)(208, 300)(209, 301)(210, 302)(211, 303)(212, 304)(213, 305)(214, 306)(215, 307)(216, 308)(217, 309)(218, 310)(219, 311)(220, 312)(221, 313)(222, 314)(223, 315)(224, 316)(225, 317)(226, 318)(227, 319)(228, 320)(229, 321)(230, 322)(231, 323)(232, 324)(233, 325)(234, 326)(235, 327)(236, 328)(237, 329)(238, 330)(239, 331)(240, 332)(241, 333)(242, 334)(243, 335)(244, 336)(245, 337)(246, 338)(247, 339)(248, 340)(249, 341)(250, 342)(251, 343)(252, 344)(253, 345)(254, 346)(255, 347)(256, 348)(257, 349)(258, 350)(259, 351)(260, 352)(261, 353)(262, 354)(263, 355)(264, 356)(265, 357)(266, 358)(267, 359)(268, 360)(269, 361)(270, 362)(271, 363)(272, 364)(273, 365)(274, 366)(275, 367)(276, 368)
	L = (1, 187)(2, 190)(3, 185)(4, 191)(5, 194)(6, 186)(7, 188)(8, 195)(9, 198)(10, 189)(11, 192)(12, 199)(13, 202)(14, 193)(15, 196)(16, 203)(17, 206)(18, 197)(19, 200)(20, 207)(21, 210)(22, 201)(23, 204)(24, 211)(25, 214)(26, 205)(27, 208)(28, 215)(29, 228)(30, 209)(31, 212)(32, 239)(33, 219)(34, 222)(35, 217)(36, 223)(37, 226)(38, 218)(39, 220)(40, 227)(41, 230)(42, 221)(43, 224)(44, 213)(45, 232)(46, 225)(47, 234)(48, 229)(49, 236)(50, 231)(51, 238)(52, 233)(53, 251)(54, 235)(55, 216)(56, 242)(57, 245)(58, 240)(59, 246)(60, 249)(61, 241)(62, 243)(63, 250)(64, 253)(65, 244)(66, 247)(67, 237)(68, 255)(69, 248)(70, 257)(71, 252)(72, 259)(73, 254)(74, 261)(75, 256)(76, 274)(77, 258)(78, 276)(79, 265)(80, 268)(81, 263)(82, 269)(83, 272)(84, 264)(85, 266)(86, 273)(87, 275)(88, 267)(89, 270)(90, 260)(91, 271)(92, 262)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 4, 92 ), ( 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92, 4, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.1472
Graph:: simple bipartite
	v = 94 e = 184 f = 48
	degree seq :: [ 2^92, 92^2 ]

E22.1474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y2 * Y3 * Y1 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 25, 133)(16, 124, 28, 136)(17, 125, 30, 138)(18, 126, 31, 139)(19, 127, 33, 141)(21, 129, 36, 144)(22, 130, 38, 146)(24, 132, 34, 142)(26, 134, 32, 140)(27, 135, 44, 152)(29, 137, 45, 153)(35, 143, 53, 161)(37, 145, 54, 162)(39, 147, 48, 156)(40, 148, 50, 158)(41, 149, 49, 157)(42, 150, 55, 163)(43, 151, 58, 166)(46, 154, 51, 159)(47, 155, 63, 171)(52, 160, 65, 173)(56, 164, 70, 178)(57, 165, 66, 174)(59, 167, 64, 172)(60, 168, 73, 181)(61, 169, 74, 182)(62, 170, 75, 183)(67, 175, 79, 187)(68, 176, 80, 188)(69, 177, 81, 189)(71, 179, 83, 191)(72, 180, 84, 192)(76, 184, 88, 196)(77, 185, 89, 197)(78, 186, 90, 198)(82, 190, 94, 202)(85, 193, 97, 205)(86, 194, 98, 206)(87, 195, 99, 207)(91, 199, 102, 210)(92, 200, 103, 211)(93, 201, 104, 212)(95, 203, 105, 213)(96, 204, 106, 214)(100, 208, 107, 215)(101, 209, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 229, 337)(225, 333, 232, 340)(226, 334, 234, 342)(228, 336, 237, 345)(230, 338, 240, 348)(231, 339, 242, 350)(233, 341, 245, 353)(235, 343, 248, 356)(236, 344, 250, 358)(238, 346, 253, 361)(239, 347, 255, 363)(241, 349, 257, 365)(243, 351, 259, 367)(244, 352, 256, 364)(246, 354, 262, 370)(247, 355, 264, 372)(249, 357, 266, 374)(251, 359, 268, 376)(252, 360, 265, 373)(254, 362, 271, 379)(258, 366, 273, 381)(260, 368, 275, 383)(261, 369, 274, 382)(263, 371, 278, 386)(267, 375, 280, 388)(269, 377, 282, 390)(270, 378, 281, 389)(272, 380, 285, 393)(276, 384, 288, 396)(277, 385, 287, 395)(279, 387, 289, 397)(283, 391, 294, 402)(284, 392, 293, 401)(286, 394, 295, 403)(290, 398, 300, 408)(291, 399, 299, 407)(292, 400, 301, 409)(296, 404, 306, 414)(297, 405, 305, 413)(298, 406, 307, 415)(302, 410, 312, 420)(303, 411, 311, 419)(304, 412, 314, 422)(308, 416, 317, 425)(309, 417, 316, 424)(310, 418, 319, 427)(313, 421, 321, 429)(315, 423, 322, 430)(318, 426, 323, 431)(320, 428, 324, 432)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 230)(8, 219)(9, 233)(10, 235)(11, 221)(12, 238)(13, 240)(14, 223)(15, 243)(16, 245)(17, 225)(18, 248)(19, 226)(20, 251)(21, 253)(22, 228)(23, 256)(24, 229)(25, 258)(26, 259)(27, 231)(28, 255)(29, 232)(30, 263)(31, 265)(32, 234)(33, 267)(34, 268)(35, 236)(36, 264)(37, 237)(38, 272)(39, 244)(40, 239)(41, 273)(42, 241)(43, 242)(44, 276)(45, 277)(46, 278)(47, 246)(48, 252)(49, 247)(50, 280)(51, 249)(52, 250)(53, 283)(54, 284)(55, 285)(56, 254)(57, 257)(58, 287)(59, 288)(60, 260)(61, 261)(62, 262)(63, 292)(64, 266)(65, 293)(66, 294)(67, 269)(68, 270)(69, 271)(70, 298)(71, 274)(72, 275)(73, 301)(74, 302)(75, 303)(76, 279)(77, 281)(78, 282)(79, 307)(80, 308)(81, 309)(82, 286)(83, 311)(84, 312)(85, 289)(86, 290)(87, 291)(88, 310)(89, 316)(90, 317)(91, 295)(92, 296)(93, 297)(94, 304)(95, 299)(96, 300)(97, 320)(98, 319)(99, 318)(100, 305)(101, 306)(102, 315)(103, 314)(104, 313)(105, 324)(106, 323)(107, 322)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1478
Graph:: simple bipartite
	v = 108 e = 216 f = 66
	degree seq :: [ 4^108 ]

E22.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y3^6, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 6, 114)(4, 112, 11, 119)(5, 113, 13, 121)(7, 115, 17, 125)(8, 116, 19, 127)(9, 117, 21, 129)(10, 118, 23, 131)(12, 120, 18, 126)(14, 122, 20, 128)(15, 123, 29, 137)(16, 124, 31, 139)(22, 130, 30, 138)(24, 132, 32, 140)(25, 133, 41, 149)(26, 134, 43, 151)(27, 135, 42, 150)(28, 136, 44, 152)(33, 141, 49, 157)(34, 142, 51, 159)(35, 143, 50, 158)(36, 144, 52, 160)(37, 145, 53, 161)(38, 146, 55, 163)(39, 147, 54, 162)(40, 148, 56, 164)(45, 153, 60, 168)(46, 154, 62, 170)(47, 155, 61, 169)(48, 156, 63, 171)(57, 165, 70, 178)(58, 166, 71, 179)(59, 167, 72, 180)(64, 172, 76, 184)(65, 173, 77, 185)(66, 174, 78, 186)(67, 175, 79, 187)(68, 176, 80, 188)(69, 177, 81, 189)(73, 181, 85, 193)(74, 182, 86, 194)(75, 183, 87, 195)(82, 190, 94, 202)(83, 191, 95, 203)(84, 192, 96, 204)(88, 196, 100, 208)(89, 197, 101, 209)(90, 198, 102, 210)(91, 199, 103, 211)(92, 200, 104, 212)(93, 201, 105, 213)(97, 205, 106, 214)(98, 206, 107, 215)(99, 207, 108, 216)(217, 325, 219, 327)(218, 326, 222, 330)(220, 328, 226, 334)(221, 329, 225, 333)(223, 331, 232, 340)(224, 332, 231, 339)(227, 335, 239, 347)(228, 336, 240, 348)(229, 337, 237, 345)(230, 338, 238, 346)(233, 341, 247, 355)(234, 342, 248, 356)(235, 343, 245, 353)(236, 344, 246, 354)(241, 349, 256, 364)(242, 350, 254, 362)(243, 351, 255, 363)(244, 352, 253, 361)(249, 357, 264, 372)(250, 358, 262, 370)(251, 359, 263, 371)(252, 360, 261, 369)(257, 365, 272, 380)(258, 366, 270, 378)(259, 367, 271, 379)(260, 368, 269, 377)(265, 373, 279, 387)(266, 374, 277, 385)(267, 375, 278, 386)(268, 376, 276, 384)(273, 381, 283, 391)(274, 382, 285, 393)(275, 383, 284, 392)(280, 388, 289, 397)(281, 389, 291, 399)(282, 390, 290, 398)(286, 394, 295, 403)(287, 395, 297, 405)(288, 396, 296, 404)(292, 400, 301, 409)(293, 401, 303, 411)(294, 402, 302, 410)(298, 406, 308, 416)(299, 407, 307, 415)(300, 408, 309, 417)(304, 412, 314, 422)(305, 413, 313, 421)(306, 414, 315, 423)(310, 418, 320, 428)(311, 419, 319, 427)(312, 420, 321, 429)(316, 424, 323, 431)(317, 425, 322, 430)(318, 426, 324, 432)
	L = (1, 220)(2, 223)(3, 225)(4, 228)(5, 217)(6, 231)(7, 234)(8, 218)(9, 238)(10, 219)(11, 241)(12, 243)(13, 242)(14, 221)(15, 246)(16, 222)(17, 249)(18, 251)(19, 250)(20, 224)(21, 253)(22, 255)(23, 254)(24, 226)(25, 258)(26, 227)(27, 230)(28, 229)(29, 261)(30, 263)(31, 262)(32, 232)(33, 266)(34, 233)(35, 236)(36, 235)(37, 270)(38, 237)(39, 240)(40, 239)(41, 273)(42, 244)(43, 274)(44, 275)(45, 277)(46, 245)(47, 248)(48, 247)(49, 280)(50, 252)(51, 281)(52, 282)(53, 283)(54, 256)(55, 284)(56, 285)(57, 260)(58, 257)(59, 259)(60, 289)(61, 264)(62, 290)(63, 291)(64, 268)(65, 265)(66, 267)(67, 272)(68, 269)(69, 271)(70, 298)(71, 299)(72, 300)(73, 279)(74, 276)(75, 278)(76, 304)(77, 305)(78, 306)(79, 307)(80, 308)(81, 309)(82, 288)(83, 286)(84, 287)(85, 313)(86, 314)(87, 315)(88, 294)(89, 292)(90, 293)(91, 297)(92, 295)(93, 296)(94, 317)(95, 318)(96, 316)(97, 303)(98, 301)(99, 302)(100, 311)(101, 312)(102, 310)(103, 323)(104, 324)(105, 322)(106, 320)(107, 321)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1479
Graph:: simple bipartite
	v = 108 e = 216 f = 66
	degree seq :: [ 4^108 ]

E22.1476 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1)^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 10, 118)(6, 114, 12, 120)(8, 116, 15, 123)(11, 119, 20, 128)(13, 121, 23, 131)(14, 122, 25, 133)(16, 124, 28, 136)(17, 125, 30, 138)(18, 126, 31, 139)(19, 127, 33, 141)(21, 129, 36, 144)(22, 130, 38, 146)(24, 132, 34, 142)(26, 134, 32, 140)(27, 135, 44, 152)(29, 137, 45, 153)(35, 143, 53, 161)(37, 145, 54, 162)(39, 147, 57, 165)(40, 148, 58, 166)(41, 149, 59, 167)(42, 150, 61, 169)(43, 151, 62, 170)(46, 154, 66, 174)(47, 155, 68, 176)(48, 156, 69, 177)(49, 157, 70, 178)(50, 158, 71, 179)(51, 159, 73, 181)(52, 160, 74, 182)(55, 163, 78, 186)(56, 164, 80, 188)(60, 168, 75, 183)(63, 171, 72, 180)(64, 172, 79, 187)(65, 173, 77, 185)(67, 175, 76, 184)(81, 189, 97, 205)(82, 190, 98, 206)(83, 191, 99, 207)(84, 192, 100, 208)(85, 193, 101, 209)(86, 194, 102, 210)(87, 195, 96, 204)(88, 196, 95, 203)(89, 197, 103, 211)(90, 198, 104, 212)(91, 199, 105, 213)(92, 200, 106, 214)(93, 201, 107, 215)(94, 202, 108, 216)(217, 325, 219, 327)(218, 326, 221, 329)(220, 328, 224, 332)(222, 330, 227, 335)(223, 331, 229, 337)(225, 333, 232, 340)(226, 334, 234, 342)(228, 336, 237, 345)(230, 338, 240, 348)(231, 339, 242, 350)(233, 341, 245, 353)(235, 343, 248, 356)(236, 344, 250, 358)(238, 346, 253, 361)(239, 347, 255, 363)(241, 349, 257, 365)(243, 351, 259, 367)(244, 352, 256, 364)(246, 354, 262, 370)(247, 355, 264, 372)(249, 357, 266, 374)(251, 359, 268, 376)(252, 360, 265, 373)(254, 362, 271, 379)(258, 366, 276, 384)(260, 368, 279, 387)(261, 369, 278, 386)(263, 371, 283, 391)(267, 375, 288, 396)(269, 377, 291, 399)(270, 378, 290, 398)(272, 380, 295, 403)(273, 381, 297, 405)(274, 382, 299, 407)(275, 383, 298, 406)(277, 385, 301, 409)(280, 388, 304, 412)(281, 389, 303, 411)(282, 390, 300, 408)(284, 392, 302, 410)(285, 393, 305, 413)(286, 394, 307, 415)(287, 395, 306, 414)(289, 397, 309, 417)(292, 400, 312, 420)(293, 401, 311, 419)(294, 402, 308, 416)(296, 404, 310, 418)(313, 421, 324, 432)(314, 422, 323, 431)(315, 423, 322, 430)(316, 424, 321, 429)(317, 425, 320, 428)(318, 426, 319, 427)
	L = (1, 220)(2, 222)(3, 224)(4, 217)(5, 227)(6, 218)(7, 230)(8, 219)(9, 233)(10, 235)(11, 221)(12, 238)(13, 240)(14, 223)(15, 243)(16, 245)(17, 225)(18, 248)(19, 226)(20, 251)(21, 253)(22, 228)(23, 256)(24, 229)(25, 258)(26, 259)(27, 231)(28, 255)(29, 232)(30, 263)(31, 265)(32, 234)(33, 267)(34, 268)(35, 236)(36, 264)(37, 237)(38, 272)(39, 244)(40, 239)(41, 276)(42, 241)(43, 242)(44, 280)(45, 281)(46, 283)(47, 246)(48, 252)(49, 247)(50, 288)(51, 249)(52, 250)(53, 292)(54, 293)(55, 295)(56, 254)(57, 298)(58, 300)(59, 297)(60, 257)(61, 302)(62, 303)(63, 304)(64, 260)(65, 261)(66, 299)(67, 262)(68, 301)(69, 306)(70, 308)(71, 305)(72, 266)(73, 310)(74, 311)(75, 312)(76, 269)(77, 270)(78, 307)(79, 271)(80, 309)(81, 275)(82, 273)(83, 282)(84, 274)(85, 284)(86, 277)(87, 278)(88, 279)(89, 287)(90, 285)(91, 294)(92, 286)(93, 296)(94, 289)(95, 290)(96, 291)(97, 322)(98, 320)(99, 324)(100, 319)(101, 323)(102, 321)(103, 316)(104, 314)(105, 318)(106, 313)(107, 317)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1477
Graph:: simple bipartite
	v = 108 e = 216 f = 66
	degree seq :: [ 4^108 ]

E22.1477 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, Y1^-3 * Y2 * Y1^3 * Y2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 33, 141, 60, 168, 32, 140, 14, 122, 5, 113)(3, 111, 9, 117, 21, 129, 34, 142, 63, 171, 83, 191, 53, 161, 26, 134, 11, 119)(4, 112, 12, 120, 27, 135, 54, 162, 84, 192, 62, 170, 35, 143, 17, 125, 8, 116)(7, 115, 18, 126, 39, 147, 61, 169, 88, 196, 59, 167, 31, 139, 44, 152, 20, 128)(10, 118, 24, 132, 49, 157, 78, 186, 98, 206, 91, 199, 64, 172, 46, 154, 23, 131)(13, 121, 29, 137, 38, 146, 16, 124, 36, 144, 65, 173, 87, 195, 58, 166, 30, 138)(19, 127, 42, 150, 73, 181, 55, 163, 85, 193, 104, 212, 89, 197, 71, 179, 41, 149)(22, 130, 40, 148, 66, 174, 90, 198, 102, 210, 82, 190, 52, 160, 75, 183, 48, 156)(25, 133, 43, 151, 69, 177, 45, 153, 70, 178, 92, 200, 101, 209, 81, 189, 51, 159)(28, 136, 56, 164, 86, 194, 103, 211, 93, 201, 67, 175, 37, 145, 68, 176, 57, 165)(47, 155, 77, 185, 97, 205, 79, 187, 99, 207, 108, 216, 105, 213, 94, 202, 72, 180)(50, 158, 80, 188, 100, 208, 107, 215, 106, 214, 96, 204, 76, 184, 95, 203, 74, 182)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 229, 337)(222, 330, 232, 340)(224, 332, 235, 343)(225, 333, 238, 346)(227, 335, 241, 349)(228, 336, 244, 352)(230, 338, 247, 355)(231, 339, 250, 358)(233, 341, 253, 361)(234, 342, 256, 364)(236, 344, 259, 367)(237, 345, 261, 369)(239, 347, 263, 371)(240, 348, 266, 374)(242, 350, 268, 376)(243, 351, 271, 379)(245, 353, 264, 372)(246, 354, 267, 375)(248, 356, 269, 377)(249, 357, 277, 385)(251, 359, 280, 388)(252, 360, 282, 390)(254, 362, 285, 393)(255, 363, 286, 394)(257, 365, 288, 396)(258, 366, 290, 398)(260, 368, 291, 399)(262, 370, 292, 400)(265, 373, 295, 403)(270, 378, 294, 402)(272, 380, 296, 404)(273, 381, 293, 401)(274, 382, 298, 406)(275, 383, 297, 405)(276, 384, 303, 411)(278, 386, 305, 413)(279, 387, 306, 414)(281, 389, 308, 416)(283, 391, 310, 418)(284, 392, 311, 419)(287, 395, 312, 420)(289, 397, 313, 421)(299, 407, 317, 425)(300, 408, 319, 427)(301, 409, 316, 424)(302, 410, 315, 423)(304, 412, 318, 426)(307, 415, 321, 429)(309, 417, 322, 430)(314, 422, 323, 431)(320, 428, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 228)(6, 233)(7, 235)(8, 218)(9, 239)(10, 219)(11, 240)(12, 221)(13, 244)(14, 243)(15, 251)(16, 253)(17, 222)(18, 257)(19, 223)(20, 258)(21, 262)(22, 263)(23, 225)(24, 227)(25, 266)(26, 265)(27, 230)(28, 229)(29, 273)(30, 272)(31, 271)(32, 270)(33, 278)(34, 280)(35, 231)(36, 283)(37, 232)(38, 284)(39, 287)(40, 288)(41, 234)(42, 236)(43, 290)(44, 289)(45, 292)(46, 237)(47, 238)(48, 293)(49, 242)(50, 241)(51, 296)(52, 295)(53, 294)(54, 248)(55, 247)(56, 246)(57, 245)(58, 302)(59, 301)(60, 300)(61, 305)(62, 249)(63, 307)(64, 250)(65, 309)(66, 310)(67, 252)(68, 254)(69, 311)(70, 312)(71, 255)(72, 256)(73, 260)(74, 259)(75, 313)(76, 261)(77, 264)(78, 269)(79, 268)(80, 267)(81, 316)(82, 315)(83, 314)(84, 276)(85, 275)(86, 274)(87, 319)(88, 320)(89, 277)(90, 321)(91, 279)(92, 322)(93, 281)(94, 282)(95, 285)(96, 286)(97, 291)(98, 299)(99, 298)(100, 297)(101, 323)(102, 324)(103, 303)(104, 304)(105, 306)(106, 308)(107, 317)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1476
Graph:: simple bipartite
	v = 66 e = 216 f = 108
	degree seq :: [ 4^54, 18^12 ]

E22.1478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y2 * Y1^-3)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 6, 114, 15, 123, 33, 141, 60, 168, 32, 140, 14, 122, 5, 113)(3, 111, 9, 117, 21, 129, 45, 153, 76, 184, 64, 172, 34, 142, 26, 134, 11, 119)(4, 112, 12, 120, 27, 135, 54, 162, 84, 192, 62, 170, 35, 143, 17, 125, 8, 116)(7, 115, 18, 126, 39, 147, 31, 139, 59, 167, 88, 196, 61, 169, 44, 152, 20, 128)(10, 118, 24, 132, 50, 158, 63, 171, 90, 198, 99, 207, 77, 185, 47, 155, 23, 131)(13, 121, 29, 137, 58, 166, 87, 195, 69, 177, 38, 146, 16, 124, 36, 144, 30, 138)(19, 127, 42, 150, 73, 181, 89, 197, 104, 212, 85, 193, 55, 163, 71, 179, 41, 149)(22, 130, 40, 148, 65, 173, 53, 161, 75, 183, 95, 203, 98, 206, 81, 189, 49, 157)(25, 133, 43, 151, 68, 176, 91, 199, 101, 209, 79, 187, 46, 154, 70, 178, 52, 160)(28, 136, 56, 164, 66, 174, 37, 145, 67, 175, 93, 201, 103, 211, 86, 194, 57, 165)(48, 156, 80, 188, 102, 210, 107, 215, 106, 214, 97, 205, 82, 190, 92, 200, 72, 180)(51, 159, 83, 191, 96, 204, 78, 186, 100, 208, 108, 216, 105, 213, 94, 202, 74, 182)(217, 325, 219, 327)(218, 326, 223, 331)(220, 328, 226, 334)(221, 329, 229, 337)(222, 330, 232, 340)(224, 332, 235, 343)(225, 333, 238, 346)(227, 335, 241, 349)(228, 336, 244, 352)(230, 338, 247, 355)(231, 339, 250, 358)(233, 341, 253, 361)(234, 342, 256, 364)(236, 344, 259, 367)(237, 345, 262, 370)(239, 347, 264, 372)(240, 348, 267, 375)(242, 350, 269, 377)(243, 351, 271, 379)(245, 353, 265, 373)(246, 354, 268, 376)(248, 356, 261, 369)(249, 357, 277, 385)(251, 359, 279, 387)(252, 360, 281, 389)(254, 362, 284, 392)(255, 363, 286, 394)(257, 365, 288, 396)(258, 366, 290, 398)(260, 368, 291, 399)(263, 371, 294, 402)(266, 374, 298, 406)(270, 378, 293, 401)(272, 380, 299, 407)(273, 381, 296, 404)(274, 382, 295, 403)(275, 383, 297, 405)(276, 384, 303, 411)(278, 386, 305, 413)(280, 388, 307, 415)(282, 390, 308, 416)(283, 391, 310, 418)(285, 393, 311, 419)(287, 395, 312, 420)(289, 397, 313, 421)(292, 400, 314, 422)(300, 408, 319, 427)(301, 409, 318, 426)(302, 410, 316, 424)(304, 412, 317, 425)(306, 414, 321, 429)(309, 417, 322, 430)(315, 423, 323, 431)(320, 428, 324, 432)
	L = (1, 220)(2, 224)(3, 226)(4, 217)(5, 228)(6, 233)(7, 235)(8, 218)(9, 239)(10, 219)(11, 240)(12, 221)(13, 244)(14, 243)(15, 251)(16, 253)(17, 222)(18, 257)(19, 223)(20, 258)(21, 263)(22, 264)(23, 225)(24, 227)(25, 267)(26, 266)(27, 230)(28, 229)(29, 273)(30, 272)(31, 271)(32, 270)(33, 278)(34, 279)(35, 231)(36, 282)(37, 232)(38, 283)(39, 287)(40, 288)(41, 234)(42, 236)(43, 290)(44, 289)(45, 293)(46, 294)(47, 237)(48, 238)(49, 296)(50, 242)(51, 241)(52, 299)(53, 298)(54, 248)(55, 247)(56, 246)(57, 245)(58, 302)(59, 301)(60, 300)(61, 305)(62, 249)(63, 250)(64, 306)(65, 308)(66, 252)(67, 254)(68, 310)(69, 309)(70, 312)(71, 255)(72, 256)(73, 260)(74, 259)(75, 313)(76, 315)(77, 261)(78, 262)(79, 316)(80, 265)(81, 318)(82, 269)(83, 268)(84, 276)(85, 275)(86, 274)(87, 319)(88, 320)(89, 277)(90, 280)(91, 321)(92, 281)(93, 285)(94, 284)(95, 322)(96, 286)(97, 291)(98, 323)(99, 292)(100, 295)(101, 324)(102, 297)(103, 303)(104, 304)(105, 307)(106, 311)(107, 314)(108, 317)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1474
Graph:: simple bipartite
	v = 66 e = 216 f = 108
	degree seq :: [ 4^54, 18^12 ]

E22.1479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 9})
Quotient :: dipole
Aut^+ = S3 x D18 (small group id <108, 16>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-3 * Y1^-1, Y3 * Y1^-1 * Y3^3 * Y1^-1, Y1^9 ]
Map:: polytopal non-degenerate
	R = (1, 109, 2, 110, 7, 115, 21, 129, 44, 152, 68, 176, 43, 151, 18, 126, 5, 113)(3, 111, 11, 119, 31, 139, 57, 165, 80, 188, 69, 177, 45, 153, 22, 130, 8, 116)(4, 112, 14, 122, 38, 146, 63, 171, 86, 194, 75, 183, 46, 154, 24, 132, 16, 124)(6, 114, 19, 127, 42, 150, 67, 175, 90, 198, 70, 178, 47, 155, 28, 136, 9, 117)(10, 118, 29, 137, 17, 125, 41, 149, 66, 174, 89, 197, 71, 179, 51, 159, 23, 131)(12, 120, 26, 134, 55, 163, 72, 180, 92, 200, 101, 209, 81, 189, 59, 167, 35, 143)(13, 121, 36, 144, 48, 156, 73, 181, 96, 204, 98, 206, 82, 190, 61, 169, 32, 140)(15, 123, 27, 135, 50, 158, 74, 182, 93, 201, 104, 212, 87, 195, 65, 173, 40, 148)(20, 128, 30, 138, 52, 160, 76, 184, 94, 202, 103, 211, 88, 196, 64, 172, 39, 147)(25, 133, 49, 157, 78, 186, 91, 199, 99, 207, 84, 192, 58, 166, 33, 141, 54, 162)(34, 142, 60, 168, 83, 191, 100, 208, 107, 215, 105, 213, 95, 203, 77, 185, 53, 161)(37, 145, 62, 170, 85, 193, 102, 210, 108, 216, 106, 214, 97, 205, 79, 187, 56, 164)(217, 325, 219, 327)(218, 326, 224, 332)(220, 328, 229, 337)(221, 329, 227, 335)(222, 330, 228, 336)(223, 331, 238, 346)(225, 333, 242, 350)(226, 334, 241, 349)(230, 338, 248, 356)(231, 339, 253, 361)(232, 340, 252, 360)(233, 341, 249, 357)(234, 342, 247, 355)(235, 343, 251, 359)(236, 344, 250, 358)(237, 345, 261, 369)(239, 347, 265, 373)(240, 348, 264, 372)(243, 351, 272, 380)(244, 352, 271, 379)(245, 353, 270, 378)(246, 354, 269, 377)(254, 362, 277, 385)(255, 363, 276, 384)(256, 364, 278, 386)(257, 365, 274, 382)(258, 366, 275, 383)(259, 367, 273, 381)(260, 368, 285, 393)(262, 370, 289, 397)(263, 371, 288, 396)(266, 374, 295, 403)(267, 375, 294, 402)(268, 376, 293, 401)(279, 387, 298, 406)(280, 388, 299, 407)(281, 389, 301, 409)(282, 390, 300, 408)(283, 391, 297, 405)(284, 392, 296, 404)(286, 394, 308, 416)(287, 395, 307, 415)(290, 398, 313, 421)(291, 399, 312, 420)(292, 400, 311, 419)(302, 410, 314, 422)(303, 411, 318, 426)(304, 412, 316, 424)(305, 413, 315, 423)(306, 414, 317, 425)(309, 417, 322, 430)(310, 418, 321, 429)(319, 427, 323, 431)(320, 428, 324, 432)
	L = (1, 220)(2, 225)(3, 228)(4, 231)(5, 233)(6, 217)(7, 239)(8, 241)(9, 243)(10, 218)(11, 248)(12, 250)(13, 219)(14, 221)(15, 245)(16, 246)(17, 256)(18, 258)(19, 255)(20, 222)(21, 262)(22, 264)(23, 266)(24, 223)(25, 269)(26, 224)(27, 232)(28, 268)(29, 236)(30, 226)(31, 274)(32, 276)(33, 227)(34, 270)(35, 278)(36, 272)(37, 229)(38, 280)(39, 230)(40, 235)(41, 234)(42, 281)(43, 279)(44, 286)(45, 288)(46, 290)(47, 237)(48, 293)(49, 238)(50, 244)(51, 292)(52, 240)(53, 252)(54, 253)(55, 295)(56, 242)(57, 297)(58, 299)(59, 247)(60, 251)(61, 301)(62, 249)(63, 303)(64, 257)(65, 254)(66, 304)(67, 259)(68, 305)(69, 307)(70, 309)(71, 260)(72, 311)(73, 261)(74, 267)(75, 310)(76, 263)(77, 271)(78, 313)(79, 265)(80, 314)(81, 316)(82, 273)(83, 277)(84, 318)(85, 275)(86, 284)(87, 282)(88, 283)(89, 320)(90, 319)(91, 321)(92, 285)(93, 291)(94, 287)(95, 294)(96, 322)(97, 289)(98, 323)(99, 296)(100, 300)(101, 324)(102, 298)(103, 302)(104, 306)(105, 312)(106, 308)(107, 317)(108, 315)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4^4 ), ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1475
Graph:: simple bipartite
	v = 66 e = 216 f = 108
	degree seq :: [ 4^54, 18^12 ]

E22.1480 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 18, 18})
Quotient :: regular
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^3 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^18 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 24, 41, 56, 66, 79, 92, 100, 97, 85, 73, 61, 49, 35, 18, 8)(6, 13, 27, 40, 55, 68, 78, 91, 102, 99, 87, 75, 63, 51, 37, 21, 30, 14)(9, 19, 26, 12, 25, 42, 54, 67, 80, 90, 101, 98, 86, 74, 62, 50, 36, 20)(16, 28, 43, 57, 69, 81, 93, 103, 107, 106, 96, 84, 72, 60, 48, 34, 46, 32)(17, 29, 44, 31, 45, 58, 70, 82, 94, 104, 108, 105, 95, 83, 71, 59, 47, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 34)(19, 32)(20, 33)(22, 35)(23, 40)(25, 43)(26, 44)(27, 45)(30, 46)(36, 48)(37, 47)(38, 50)(39, 54)(41, 57)(42, 58)(49, 59)(51, 60)(52, 63)(53, 66)(55, 69)(56, 70)(61, 72)(62, 71)(64, 73)(65, 78)(67, 81)(68, 82)(74, 84)(75, 83)(76, 86)(77, 90)(79, 93)(80, 94)(85, 95)(87, 96)(88, 99)(89, 100)(91, 103)(92, 104)(97, 106)(98, 105)(101, 107)(102, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1481
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1481 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 18, 18})
Quotient :: regular
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2, T1^18, T1^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1^-7 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 12, 22, 33, 49, 62, 75, 86, 97, 93, 81, 69, 57, 43, 28, 17, 8)(6, 13, 21, 34, 48, 63, 74, 87, 96, 95, 83, 71, 59, 45, 30, 18, 9, 14)(15, 25, 35, 51, 64, 77, 88, 99, 104, 102, 92, 80, 68, 56, 42, 27, 16, 26)(23, 36, 50, 65, 76, 89, 98, 105, 103, 94, 82, 70, 58, 44, 29, 38, 24, 37)(39, 52, 66, 78, 90, 100, 106, 108, 107, 101, 91, 79, 67, 55, 41, 54, 40, 53)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 55)(45, 58)(46, 59)(47, 62)(49, 64)(51, 66)(56, 67)(57, 68)(60, 69)(61, 74)(63, 76)(65, 78)(70, 79)(71, 82)(72, 83)(73, 86)(75, 88)(77, 90)(80, 91)(81, 92)(84, 93)(85, 96)(87, 98)(89, 100)(94, 101)(95, 103)(97, 104)(99, 106)(102, 107)(105, 108)
	local type(s) :: { ( 18^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1480
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 54 f = 6
	degree seq :: [ 18^6 ]

E22.1482 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 18})
Quotient :: edge
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^18 ]
Map::
	R = (1, 3, 8, 18, 35, 49, 61, 73, 85, 97, 88, 76, 64, 52, 38, 22, 10, 4)(2, 5, 12, 26, 43, 55, 67, 79, 91, 102, 94, 82, 70, 58, 46, 30, 14, 6)(7, 15, 31, 47, 59, 71, 83, 95, 105, 99, 87, 75, 63, 51, 37, 21, 32, 16)(9, 19, 34, 17, 33, 48, 60, 72, 84, 96, 106, 98, 86, 74, 62, 50, 36, 20)(11, 23, 39, 53, 65, 77, 89, 100, 107, 104, 93, 81, 69, 57, 45, 29, 40, 24)(13, 27, 42, 25, 41, 54, 66, 78, 90, 101, 108, 103, 92, 80, 68, 56, 44, 28)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 125)(118, 129)(120, 133)(122, 137)(123, 131)(124, 135)(126, 134)(127, 132)(128, 136)(130, 138)(139, 149)(140, 148)(141, 147)(142, 150)(143, 155)(144, 153)(145, 152)(146, 158)(151, 161)(154, 164)(156, 162)(157, 168)(159, 165)(160, 171)(163, 174)(166, 177)(167, 173)(169, 175)(170, 176)(172, 178)(179, 186)(180, 185)(181, 191)(182, 189)(183, 188)(184, 194)(187, 197)(190, 200)(192, 198)(193, 204)(195, 201)(196, 207)(199, 209)(202, 212)(203, 208)(205, 210)(206, 211)(213, 216)(214, 215)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1486
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1483 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 18})
Quotient :: edge
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^18, T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-7 * T1 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 57, 69, 81, 93, 84, 72, 60, 46, 31, 19, 10, 4)(2, 5, 12, 22, 35, 51, 63, 75, 87, 98, 90, 78, 66, 54, 38, 24, 14, 6)(7, 15, 26, 41, 56, 68, 80, 92, 102, 95, 83, 71, 59, 45, 30, 18, 9, 16)(11, 20, 33, 49, 62, 74, 86, 97, 105, 100, 89, 77, 65, 53, 37, 23, 13, 21)(25, 39, 55, 67, 79, 91, 101, 107, 103, 94, 82, 70, 58, 44, 29, 42, 27, 40)(32, 47, 61, 73, 85, 96, 104, 108, 106, 99, 88, 76, 64, 52, 36, 50, 34, 48)(109, 110)(111, 115)(112, 117)(113, 119)(114, 121)(116, 120)(118, 122)(123, 133)(124, 135)(125, 134)(126, 137)(127, 138)(128, 140)(129, 142)(130, 141)(131, 144)(132, 145)(136, 143)(139, 146)(147, 155)(148, 156)(149, 163)(150, 158)(151, 164)(152, 160)(153, 166)(154, 167)(157, 169)(159, 170)(161, 172)(162, 173)(165, 171)(168, 174)(175, 181)(176, 187)(177, 188)(178, 184)(179, 190)(180, 191)(182, 193)(183, 194)(185, 196)(186, 197)(189, 195)(192, 198)(199, 204)(200, 209)(201, 210)(202, 207)(203, 211)(205, 212)(206, 213)(208, 214)(215, 216)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 36, 36 ), ( 36^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1485
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 108 f = 6
	degree seq :: [ 2^54, 18^6 ]

E22.1484 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 18, 18})
Quotient :: edge
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2 * T1^-1 * T2^-3 * T1^-1, T1^-1 * T2^-3 * T1^-1 * T2, T1^-4 * T2^-1 * T1^2 * T2^-1, T2^-1 * T1^2 * T2^-1 * T1^14, T1^-1 * T2 * T1^-1 * T2^15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 47, 61, 73, 85, 97, 105, 94, 80, 67, 59, 44, 21, 15, 5)(2, 7, 19, 11, 27, 48, 63, 74, 87, 98, 106, 92, 79, 71, 60, 39, 22, 8)(4, 12, 26, 49, 62, 75, 86, 99, 108, 93, 82, 68, 53, 43, 33, 14, 24, 9)(6, 17, 37, 20, 41, 28, 51, 64, 77, 88, 101, 104, 91, 83, 72, 56, 40, 18)(13, 30, 50, 65, 76, 89, 100, 107, 96, 81, 70, 54, 34, 32, 46, 23, 45, 29)(16, 35, 55, 38, 58, 42, 31, 52, 66, 78, 90, 102, 103, 95, 84, 69, 57, 36)(109, 110, 114, 124, 142, 161, 175, 187, 199, 211, 208, 194, 181, 171, 159, 139, 121, 112)(111, 117, 131, 143, 126, 147, 167, 176, 189, 203, 212, 206, 193, 183, 173, 160, 136, 119)(113, 122, 140, 144, 164, 179, 188, 201, 215, 210, 196, 182, 169, 157, 138, 150, 128, 115)(116, 129, 151, 162, 177, 191, 200, 213, 207, 197, 186, 172, 156, 133, 120, 137, 146, 125)(118, 127, 145, 163, 154, 141, 152, 168, 180, 192, 204, 216, 205, 195, 185, 174, 158, 134)(123, 130, 148, 165, 178, 190, 202, 214, 209, 198, 184, 170, 155, 135, 149, 166, 153, 132)
	L = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)
	local type(s) :: { ( 4^18 ) }
Outer automorphisms :: reflexible
Dual of E22.1487
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 108 f = 54
	degree seq :: [ 18^12 ]

E22.1485 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 18})
Quotient :: loop
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^3 * T1 * T2^-2, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1, T2^18 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 18, 126, 35, 143, 49, 157, 61, 169, 73, 181, 85, 193, 97, 205, 88, 196, 76, 184, 64, 172, 52, 160, 38, 146, 22, 130, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 26, 134, 43, 151, 55, 163, 67, 175, 79, 187, 91, 199, 102, 210, 94, 202, 82, 190, 70, 178, 58, 166, 46, 154, 30, 138, 14, 122, 6, 114)(7, 115, 15, 123, 31, 139, 47, 155, 59, 167, 71, 179, 83, 191, 95, 203, 105, 213, 99, 207, 87, 195, 75, 183, 63, 171, 51, 159, 37, 145, 21, 129, 32, 140, 16, 124)(9, 117, 19, 127, 34, 142, 17, 125, 33, 141, 48, 156, 60, 168, 72, 180, 84, 192, 96, 204, 106, 214, 98, 206, 86, 194, 74, 182, 62, 170, 50, 158, 36, 144, 20, 128)(11, 119, 23, 131, 39, 147, 53, 161, 65, 173, 77, 185, 89, 197, 100, 208, 107, 215, 104, 212, 93, 201, 81, 189, 69, 177, 57, 165, 45, 153, 29, 137, 40, 148, 24, 132)(13, 121, 27, 135, 42, 150, 25, 133, 41, 149, 54, 162, 66, 174, 78, 186, 90, 198, 101, 209, 108, 216, 103, 211, 92, 200, 80, 188, 68, 176, 56, 164, 44, 152, 28, 136)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 125)(9, 112)(10, 129)(11, 113)(12, 133)(13, 114)(14, 137)(15, 131)(16, 135)(17, 116)(18, 134)(19, 132)(20, 136)(21, 118)(22, 138)(23, 123)(24, 127)(25, 120)(26, 126)(27, 124)(28, 128)(29, 122)(30, 130)(31, 149)(32, 148)(33, 147)(34, 150)(35, 155)(36, 153)(37, 152)(38, 158)(39, 141)(40, 140)(41, 139)(42, 142)(43, 161)(44, 145)(45, 144)(46, 164)(47, 143)(48, 162)(49, 168)(50, 146)(51, 165)(52, 171)(53, 151)(54, 156)(55, 174)(56, 154)(57, 159)(58, 177)(59, 173)(60, 157)(61, 175)(62, 176)(63, 160)(64, 178)(65, 167)(66, 163)(67, 169)(68, 170)(69, 166)(70, 172)(71, 186)(72, 185)(73, 191)(74, 189)(75, 188)(76, 194)(77, 180)(78, 179)(79, 197)(80, 183)(81, 182)(82, 200)(83, 181)(84, 198)(85, 204)(86, 184)(87, 201)(88, 207)(89, 187)(90, 192)(91, 209)(92, 190)(93, 195)(94, 212)(95, 208)(96, 193)(97, 210)(98, 211)(99, 196)(100, 203)(101, 199)(102, 205)(103, 206)(104, 202)(105, 216)(106, 215)(107, 214)(108, 213)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1483
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1486 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 18})
Quotient :: loop
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, T2^18, T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-7 * T1 ]
Map::
	R = (1, 109, 3, 111, 8, 116, 17, 125, 28, 136, 43, 151, 57, 165, 69, 177, 81, 189, 93, 201, 84, 192, 72, 180, 60, 168, 46, 154, 31, 139, 19, 127, 10, 118, 4, 112)(2, 110, 5, 113, 12, 120, 22, 130, 35, 143, 51, 159, 63, 171, 75, 183, 87, 195, 98, 206, 90, 198, 78, 186, 66, 174, 54, 162, 38, 146, 24, 132, 14, 122, 6, 114)(7, 115, 15, 123, 26, 134, 41, 149, 56, 164, 68, 176, 80, 188, 92, 200, 102, 210, 95, 203, 83, 191, 71, 179, 59, 167, 45, 153, 30, 138, 18, 126, 9, 117, 16, 124)(11, 119, 20, 128, 33, 141, 49, 157, 62, 170, 74, 182, 86, 194, 97, 205, 105, 213, 100, 208, 89, 197, 77, 185, 65, 173, 53, 161, 37, 145, 23, 131, 13, 121, 21, 129)(25, 133, 39, 147, 55, 163, 67, 175, 79, 187, 91, 199, 101, 209, 107, 215, 103, 211, 94, 202, 82, 190, 70, 178, 58, 166, 44, 152, 29, 137, 42, 150, 27, 135, 40, 148)(32, 140, 47, 155, 61, 169, 73, 181, 85, 193, 96, 204, 104, 212, 108, 216, 106, 214, 99, 207, 88, 196, 76, 184, 64, 172, 52, 160, 36, 144, 50, 158, 34, 142, 48, 156)
	L = (1, 110)(2, 109)(3, 115)(4, 117)(5, 119)(6, 121)(7, 111)(8, 120)(9, 112)(10, 122)(11, 113)(12, 116)(13, 114)(14, 118)(15, 133)(16, 135)(17, 134)(18, 137)(19, 138)(20, 140)(21, 142)(22, 141)(23, 144)(24, 145)(25, 123)(26, 125)(27, 124)(28, 143)(29, 126)(30, 127)(31, 146)(32, 128)(33, 130)(34, 129)(35, 136)(36, 131)(37, 132)(38, 139)(39, 155)(40, 156)(41, 163)(42, 158)(43, 164)(44, 160)(45, 166)(46, 167)(47, 147)(48, 148)(49, 169)(50, 150)(51, 170)(52, 152)(53, 172)(54, 173)(55, 149)(56, 151)(57, 171)(58, 153)(59, 154)(60, 174)(61, 157)(62, 159)(63, 165)(64, 161)(65, 162)(66, 168)(67, 181)(68, 187)(69, 188)(70, 184)(71, 190)(72, 191)(73, 175)(74, 193)(75, 194)(76, 178)(77, 196)(78, 197)(79, 176)(80, 177)(81, 195)(82, 179)(83, 180)(84, 198)(85, 182)(86, 183)(87, 189)(88, 185)(89, 186)(90, 192)(91, 204)(92, 209)(93, 210)(94, 207)(95, 211)(96, 199)(97, 212)(98, 213)(99, 202)(100, 214)(101, 200)(102, 201)(103, 203)(104, 205)(105, 206)(106, 208)(107, 216)(108, 215)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: reflexible
Dual of E22.1482
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 108 f = 60
	degree seq :: [ 36^6 ]

E22.1487 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 18, 18})
Quotient :: loop
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^3 * T2, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1^18 ]
Map:: polytopal non-degenerate
	R = (1, 109, 3, 111)(2, 110, 6, 114)(4, 112, 9, 117)(5, 113, 12, 120)(7, 115, 16, 124)(8, 116, 17, 125)(10, 118, 21, 129)(11, 119, 24, 132)(13, 121, 28, 136)(14, 122, 29, 137)(15, 123, 31, 139)(18, 126, 34, 142)(19, 127, 32, 140)(20, 128, 33, 141)(22, 130, 35, 143)(23, 131, 40, 148)(25, 133, 43, 151)(26, 134, 44, 152)(27, 135, 45, 153)(30, 138, 46, 154)(36, 144, 48, 156)(37, 145, 47, 155)(38, 146, 50, 158)(39, 147, 54, 162)(41, 149, 57, 165)(42, 150, 58, 166)(49, 157, 59, 167)(51, 159, 60, 168)(52, 160, 63, 171)(53, 161, 66, 174)(55, 163, 69, 177)(56, 164, 70, 178)(61, 169, 72, 180)(62, 170, 71, 179)(64, 172, 73, 181)(65, 173, 78, 186)(67, 175, 81, 189)(68, 176, 82, 190)(74, 182, 84, 192)(75, 183, 83, 191)(76, 184, 86, 194)(77, 185, 90, 198)(79, 187, 93, 201)(80, 188, 94, 202)(85, 193, 95, 203)(87, 195, 96, 204)(88, 196, 99, 207)(89, 197, 100, 208)(91, 199, 103, 211)(92, 200, 104, 212)(97, 205, 106, 214)(98, 206, 105, 213)(101, 209, 107, 215)(102, 210, 108, 216)
	L = (1, 110)(2, 113)(3, 115)(4, 109)(5, 119)(6, 121)(7, 123)(8, 111)(9, 127)(10, 112)(11, 131)(12, 133)(13, 135)(14, 114)(15, 132)(16, 136)(17, 137)(18, 116)(19, 134)(20, 117)(21, 138)(22, 118)(23, 147)(24, 149)(25, 150)(26, 120)(27, 148)(28, 151)(29, 152)(30, 122)(31, 153)(32, 124)(33, 125)(34, 154)(35, 126)(36, 128)(37, 129)(38, 130)(39, 161)(40, 163)(41, 164)(42, 162)(43, 165)(44, 139)(45, 166)(46, 140)(47, 141)(48, 142)(49, 143)(50, 144)(51, 145)(52, 146)(53, 173)(54, 175)(55, 176)(56, 174)(57, 177)(58, 178)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 185)(66, 187)(67, 188)(68, 186)(69, 189)(70, 190)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 197)(78, 199)(79, 200)(80, 198)(81, 201)(82, 202)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 196)(90, 209)(91, 210)(92, 208)(93, 211)(94, 212)(95, 191)(96, 192)(97, 193)(98, 194)(99, 195)(100, 205)(101, 206)(102, 207)(103, 215)(104, 216)(105, 203)(106, 204)(107, 214)(108, 213)
	local type(s) :: { ( 18^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1484
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 54 e = 108 f = 12
	degree seq :: [ 4^54 ]

E22.1488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-3 * Y1 * Y2^3 * Y1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2, (Y2^-1 * R * Y2^-2)^2, Y2^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 17, 125)(10, 118, 21, 129)(12, 120, 25, 133)(14, 122, 29, 137)(15, 123, 23, 131)(16, 124, 27, 135)(18, 126, 26, 134)(19, 127, 24, 132)(20, 128, 28, 136)(22, 130, 30, 138)(31, 139, 41, 149)(32, 140, 40, 148)(33, 141, 39, 147)(34, 142, 42, 150)(35, 143, 47, 155)(36, 144, 45, 153)(37, 145, 44, 152)(38, 146, 50, 158)(43, 151, 53, 161)(46, 154, 56, 164)(48, 156, 54, 162)(49, 157, 60, 168)(51, 159, 57, 165)(52, 160, 63, 171)(55, 163, 66, 174)(58, 166, 69, 177)(59, 167, 65, 173)(61, 169, 67, 175)(62, 170, 68, 176)(64, 172, 70, 178)(71, 179, 78, 186)(72, 180, 77, 185)(73, 181, 83, 191)(74, 182, 81, 189)(75, 183, 80, 188)(76, 184, 86, 194)(79, 187, 89, 197)(82, 190, 92, 200)(84, 192, 90, 198)(85, 193, 96, 204)(87, 195, 93, 201)(88, 196, 99, 207)(91, 199, 101, 209)(94, 202, 104, 212)(95, 203, 100, 208)(97, 205, 102, 210)(98, 206, 103, 211)(105, 213, 108, 216)(106, 214, 107, 215)(217, 325, 219, 327, 224, 332, 234, 342, 251, 359, 265, 373, 277, 385, 289, 397, 301, 409, 313, 421, 304, 412, 292, 400, 280, 388, 268, 376, 254, 362, 238, 346, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 242, 350, 259, 367, 271, 379, 283, 391, 295, 403, 307, 415, 318, 426, 310, 418, 298, 406, 286, 394, 274, 382, 262, 370, 246, 354, 230, 338, 222, 330)(223, 331, 231, 339, 247, 355, 263, 371, 275, 383, 287, 395, 299, 407, 311, 419, 321, 429, 315, 423, 303, 411, 291, 399, 279, 387, 267, 375, 253, 361, 237, 345, 248, 356, 232, 340)(225, 333, 235, 343, 250, 358, 233, 341, 249, 357, 264, 372, 276, 384, 288, 396, 300, 408, 312, 420, 322, 430, 314, 422, 302, 410, 290, 398, 278, 386, 266, 374, 252, 360, 236, 344)(227, 335, 239, 347, 255, 363, 269, 377, 281, 389, 293, 401, 305, 413, 316, 424, 323, 431, 320, 428, 309, 417, 297, 405, 285, 393, 273, 381, 261, 369, 245, 353, 256, 364, 240, 348)(229, 337, 243, 351, 258, 366, 241, 349, 257, 365, 270, 378, 282, 390, 294, 402, 306, 414, 317, 425, 324, 432, 319, 427, 308, 416, 296, 404, 284, 392, 272, 380, 260, 368, 244, 352)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 233)(9, 220)(10, 237)(11, 221)(12, 241)(13, 222)(14, 245)(15, 239)(16, 243)(17, 224)(18, 242)(19, 240)(20, 244)(21, 226)(22, 246)(23, 231)(24, 235)(25, 228)(26, 234)(27, 232)(28, 236)(29, 230)(30, 238)(31, 257)(32, 256)(33, 255)(34, 258)(35, 263)(36, 261)(37, 260)(38, 266)(39, 249)(40, 248)(41, 247)(42, 250)(43, 269)(44, 253)(45, 252)(46, 272)(47, 251)(48, 270)(49, 276)(50, 254)(51, 273)(52, 279)(53, 259)(54, 264)(55, 282)(56, 262)(57, 267)(58, 285)(59, 281)(60, 265)(61, 283)(62, 284)(63, 268)(64, 286)(65, 275)(66, 271)(67, 277)(68, 278)(69, 274)(70, 280)(71, 294)(72, 293)(73, 299)(74, 297)(75, 296)(76, 302)(77, 288)(78, 287)(79, 305)(80, 291)(81, 290)(82, 308)(83, 289)(84, 306)(85, 312)(86, 292)(87, 309)(88, 315)(89, 295)(90, 300)(91, 317)(92, 298)(93, 303)(94, 320)(95, 316)(96, 301)(97, 318)(98, 319)(99, 304)(100, 311)(101, 307)(102, 313)(103, 314)(104, 310)(105, 324)(106, 323)(107, 322)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1492
Graph:: bipartite
	v = 60 e = 216 f = 114
	degree seq :: [ 4^54, 36^6 ]

E22.1489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|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^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 109, 2, 110)(3, 111, 7, 115)(4, 112, 9, 117)(5, 113, 11, 119)(6, 114, 13, 121)(8, 116, 12, 120)(10, 118, 14, 122)(15, 123, 25, 133)(16, 124, 27, 135)(17, 125, 26, 134)(18, 126, 29, 137)(19, 127, 30, 138)(20, 128, 32, 140)(21, 129, 34, 142)(22, 130, 33, 141)(23, 131, 36, 144)(24, 132, 37, 145)(28, 136, 35, 143)(31, 139, 38, 146)(39, 147, 47, 155)(40, 148, 48, 156)(41, 149, 55, 163)(42, 150, 50, 158)(43, 151, 56, 164)(44, 152, 52, 160)(45, 153, 58, 166)(46, 154, 59, 167)(49, 157, 61, 169)(51, 159, 62, 170)(53, 161, 64, 172)(54, 162, 65, 173)(57, 165, 63, 171)(60, 168, 66, 174)(67, 175, 73, 181)(68, 176, 79, 187)(69, 177, 80, 188)(70, 178, 76, 184)(71, 179, 82, 190)(72, 180, 83, 191)(74, 182, 85, 193)(75, 183, 86, 194)(77, 185, 88, 196)(78, 186, 89, 197)(81, 189, 87, 195)(84, 192, 90, 198)(91, 199, 96, 204)(92, 200, 101, 209)(93, 201, 102, 210)(94, 202, 99, 207)(95, 203, 103, 211)(97, 205, 104, 212)(98, 206, 105, 213)(100, 208, 106, 214)(107, 215, 108, 216)(217, 325, 219, 327, 224, 332, 233, 341, 244, 352, 259, 367, 273, 381, 285, 393, 297, 405, 309, 417, 300, 408, 288, 396, 276, 384, 262, 370, 247, 355, 235, 343, 226, 334, 220, 328)(218, 326, 221, 329, 228, 336, 238, 346, 251, 359, 267, 375, 279, 387, 291, 399, 303, 411, 314, 422, 306, 414, 294, 402, 282, 390, 270, 378, 254, 362, 240, 348, 230, 338, 222, 330)(223, 331, 231, 339, 242, 350, 257, 365, 272, 380, 284, 392, 296, 404, 308, 416, 318, 426, 311, 419, 299, 407, 287, 395, 275, 383, 261, 369, 246, 354, 234, 342, 225, 333, 232, 340)(227, 335, 236, 344, 249, 357, 265, 373, 278, 386, 290, 398, 302, 410, 313, 421, 321, 429, 316, 424, 305, 413, 293, 401, 281, 389, 269, 377, 253, 361, 239, 347, 229, 337, 237, 345)(241, 349, 255, 363, 271, 379, 283, 391, 295, 403, 307, 415, 317, 425, 323, 431, 319, 427, 310, 418, 298, 406, 286, 394, 274, 382, 260, 368, 245, 353, 258, 366, 243, 351, 256, 364)(248, 356, 263, 371, 277, 385, 289, 397, 301, 409, 312, 420, 320, 428, 324, 432, 322, 430, 315, 423, 304, 412, 292, 400, 280, 388, 268, 376, 252, 360, 266, 374, 250, 358, 264, 372)
	L = (1, 218)(2, 217)(3, 223)(4, 225)(5, 227)(6, 229)(7, 219)(8, 228)(9, 220)(10, 230)(11, 221)(12, 224)(13, 222)(14, 226)(15, 241)(16, 243)(17, 242)(18, 245)(19, 246)(20, 248)(21, 250)(22, 249)(23, 252)(24, 253)(25, 231)(26, 233)(27, 232)(28, 251)(29, 234)(30, 235)(31, 254)(32, 236)(33, 238)(34, 237)(35, 244)(36, 239)(37, 240)(38, 247)(39, 263)(40, 264)(41, 271)(42, 266)(43, 272)(44, 268)(45, 274)(46, 275)(47, 255)(48, 256)(49, 277)(50, 258)(51, 278)(52, 260)(53, 280)(54, 281)(55, 257)(56, 259)(57, 279)(58, 261)(59, 262)(60, 282)(61, 265)(62, 267)(63, 273)(64, 269)(65, 270)(66, 276)(67, 289)(68, 295)(69, 296)(70, 292)(71, 298)(72, 299)(73, 283)(74, 301)(75, 302)(76, 286)(77, 304)(78, 305)(79, 284)(80, 285)(81, 303)(82, 287)(83, 288)(84, 306)(85, 290)(86, 291)(87, 297)(88, 293)(89, 294)(90, 300)(91, 312)(92, 317)(93, 318)(94, 315)(95, 319)(96, 307)(97, 320)(98, 321)(99, 310)(100, 322)(101, 308)(102, 309)(103, 311)(104, 313)(105, 314)(106, 316)(107, 324)(108, 323)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 36, 2, 36 ), ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1493
Graph:: bipartite
	v = 60 e = 216 f = 114
	degree seq :: [ 4^54, 36^6 ]

E22.1490 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-2, Y1^-1 * Y2^2 * Y1^-1 * Y2^14, Y2^-1 * Y1 * Y2^-1 * Y1^15 ]
Map::
	R = (1, 109, 2, 110, 6, 114, 16, 124, 34, 142, 53, 161, 67, 175, 79, 187, 91, 199, 103, 211, 100, 208, 86, 194, 73, 181, 65, 173, 52, 160, 27, 135, 13, 121, 4, 112)(3, 111, 9, 117, 17, 125, 8, 116, 21, 129, 35, 143, 55, 163, 68, 176, 81, 189, 92, 200, 105, 213, 98, 206, 85, 193, 77, 185, 66, 174, 49, 157, 28, 136, 11, 119)(5, 113, 14, 122, 18, 126, 37, 145, 54, 162, 69, 177, 80, 188, 93, 201, 104, 212, 99, 207, 88, 196, 74, 182, 61, 169, 51, 159, 30, 138, 12, 120, 20, 128, 7, 115)(10, 118, 24, 132, 36, 144, 23, 131, 42, 150, 22, 130, 43, 151, 56, 164, 71, 179, 82, 190, 95, 203, 106, 214, 97, 205, 89, 197, 78, 186, 63, 171, 50, 158, 26, 134)(15, 123, 32, 140, 38, 146, 58, 166, 70, 178, 83, 191, 94, 202, 107, 215, 102, 210, 87, 195, 76, 184, 62, 170, 47, 155, 29, 137, 41, 149, 19, 127, 39, 147, 31, 139)(25, 133, 40, 148, 57, 165, 46, 154, 60, 168, 45, 153, 33, 141, 44, 152, 59, 167, 72, 180, 84, 192, 96, 204, 108, 216, 101, 209, 90, 198, 75, 183, 64, 172, 48, 156)(217, 325, 219, 327, 226, 334, 241, 349, 263, 371, 277, 385, 289, 397, 301, 409, 313, 421, 324, 432, 310, 418, 296, 404, 283, 391, 271, 379, 259, 367, 249, 357, 231, 339, 221, 329)(218, 326, 223, 331, 235, 343, 256, 364, 242, 350, 265, 373, 281, 389, 290, 398, 303, 411, 317, 425, 322, 430, 308, 416, 295, 403, 285, 393, 274, 382, 260, 368, 238, 346, 224, 332)(220, 328, 228, 336, 245, 353, 264, 372, 279, 387, 293, 401, 302, 410, 315, 423, 323, 431, 312, 420, 298, 406, 284, 392, 269, 377, 253, 361, 248, 356, 261, 369, 239, 347, 225, 333)(222, 330, 233, 341, 252, 360, 273, 381, 257, 365, 246, 354, 268, 376, 282, 390, 294, 402, 306, 414, 318, 426, 320, 428, 307, 415, 297, 405, 287, 395, 275, 383, 254, 362, 234, 342)(227, 335, 243, 351, 267, 375, 278, 386, 291, 399, 305, 413, 314, 422, 319, 427, 309, 417, 299, 407, 288, 396, 272, 380, 251, 359, 232, 340, 230, 338, 247, 355, 262, 370, 240, 348)(229, 337, 244, 352, 266, 374, 280, 388, 292, 400, 304, 412, 316, 424, 321, 429, 311, 419, 300, 408, 286, 394, 270, 378, 250, 358, 237, 345, 258, 366, 276, 384, 255, 363, 236, 344)
	L = (1, 219)(2, 223)(3, 226)(4, 228)(5, 217)(6, 233)(7, 235)(8, 218)(9, 220)(10, 241)(11, 243)(12, 245)(13, 244)(14, 247)(15, 221)(16, 230)(17, 252)(18, 222)(19, 256)(20, 229)(21, 258)(22, 224)(23, 225)(24, 227)(25, 263)(26, 265)(27, 267)(28, 266)(29, 264)(30, 268)(31, 262)(32, 261)(33, 231)(34, 237)(35, 232)(36, 273)(37, 248)(38, 234)(39, 236)(40, 242)(41, 246)(42, 276)(43, 249)(44, 238)(45, 239)(46, 240)(47, 277)(48, 279)(49, 281)(50, 280)(51, 278)(52, 282)(53, 253)(54, 250)(55, 259)(56, 251)(57, 257)(58, 260)(59, 254)(60, 255)(61, 289)(62, 291)(63, 293)(64, 292)(65, 290)(66, 294)(67, 271)(68, 269)(69, 274)(70, 270)(71, 275)(72, 272)(73, 301)(74, 303)(75, 305)(76, 304)(77, 302)(78, 306)(79, 285)(80, 283)(81, 287)(82, 284)(83, 288)(84, 286)(85, 313)(86, 315)(87, 317)(88, 316)(89, 314)(90, 318)(91, 297)(92, 295)(93, 299)(94, 296)(95, 300)(96, 298)(97, 324)(98, 319)(99, 323)(100, 321)(101, 322)(102, 320)(103, 309)(104, 307)(105, 311)(106, 308)(107, 312)(108, 310)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1491
Graph:: bipartite
	v = 12 e = 216 f = 162
	degree seq :: [ 36^12 ]

E22.1491 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y3^18, (Y3^-1 * Y1^-1)^18 ]
Map:: polytopal
	R = (1, 109)(2, 110)(3, 111)(4, 112)(5, 113)(6, 114)(7, 115)(8, 116)(9, 117)(10, 118)(11, 119)(12, 120)(13, 121)(14, 122)(15, 123)(16, 124)(17, 125)(18, 126)(19, 127)(20, 128)(21, 129)(22, 130)(23, 131)(24, 132)(25, 133)(26, 134)(27, 135)(28, 136)(29, 137)(30, 138)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 145)(38, 146)(39, 147)(40, 148)(41, 149)(42, 150)(43, 151)(44, 152)(45, 153)(46, 154)(47, 155)(48, 156)(49, 157)(50, 158)(51, 159)(52, 160)(53, 161)(54, 162)(55, 163)(56, 164)(57, 165)(58, 166)(59, 167)(60, 168)(61, 169)(62, 170)(63, 171)(64, 172)(65, 173)(66, 174)(67, 175)(68, 176)(69, 177)(70, 178)(71, 179)(72, 180)(73, 181)(74, 182)(75, 183)(76, 184)(77, 185)(78, 186)(79, 187)(80, 188)(81, 189)(82, 190)(83, 191)(84, 192)(85, 193)(86, 194)(87, 195)(88, 196)(89, 197)(90, 198)(91, 199)(92, 200)(93, 201)(94, 202)(95, 203)(96, 204)(97, 205)(98, 206)(99, 207)(100, 208)(101, 209)(102, 210)(103, 211)(104, 212)(105, 213)(106, 214)(107, 215)(108, 216)(217, 325, 218, 326)(219, 327, 223, 331)(220, 328, 225, 333)(221, 329, 227, 335)(222, 330, 229, 337)(224, 332, 233, 341)(226, 334, 237, 345)(228, 336, 241, 349)(230, 338, 245, 353)(231, 339, 239, 347)(232, 340, 243, 351)(234, 342, 242, 350)(235, 343, 240, 348)(236, 344, 244, 352)(238, 346, 246, 354)(247, 355, 257, 365)(248, 356, 256, 364)(249, 357, 255, 363)(250, 358, 258, 366)(251, 359, 263, 371)(252, 360, 261, 369)(253, 361, 260, 368)(254, 362, 266, 374)(259, 367, 269, 377)(262, 370, 272, 380)(264, 372, 270, 378)(265, 373, 276, 384)(267, 375, 273, 381)(268, 376, 279, 387)(271, 379, 282, 390)(274, 382, 285, 393)(275, 383, 281, 389)(277, 385, 283, 391)(278, 386, 284, 392)(280, 388, 286, 394)(287, 395, 294, 402)(288, 396, 293, 401)(289, 397, 299, 407)(290, 398, 297, 405)(291, 399, 296, 404)(292, 400, 302, 410)(295, 403, 305, 413)(298, 406, 308, 416)(300, 408, 306, 414)(301, 409, 312, 420)(303, 411, 309, 417)(304, 412, 315, 423)(307, 415, 317, 425)(310, 418, 320, 428)(311, 419, 316, 424)(313, 421, 318, 426)(314, 422, 319, 427)(321, 429, 324, 432)(322, 430, 323, 431)
	L = (1, 219)(2, 221)(3, 224)(4, 217)(5, 228)(6, 218)(7, 231)(8, 234)(9, 235)(10, 220)(11, 239)(12, 242)(13, 243)(14, 222)(15, 247)(16, 223)(17, 249)(18, 251)(19, 250)(20, 225)(21, 248)(22, 226)(23, 255)(24, 227)(25, 257)(26, 259)(27, 258)(28, 229)(29, 256)(30, 230)(31, 263)(32, 232)(33, 264)(34, 233)(35, 265)(36, 236)(37, 237)(38, 238)(39, 269)(40, 240)(41, 270)(42, 241)(43, 271)(44, 244)(45, 245)(46, 246)(47, 275)(48, 276)(49, 277)(50, 252)(51, 253)(52, 254)(53, 281)(54, 282)(55, 283)(56, 260)(57, 261)(58, 262)(59, 287)(60, 288)(61, 289)(62, 266)(63, 267)(64, 268)(65, 293)(66, 294)(67, 295)(68, 272)(69, 273)(70, 274)(71, 299)(72, 300)(73, 301)(74, 278)(75, 279)(76, 280)(77, 305)(78, 306)(79, 307)(80, 284)(81, 285)(82, 286)(83, 311)(84, 312)(85, 313)(86, 290)(87, 291)(88, 292)(89, 316)(90, 317)(91, 318)(92, 296)(93, 297)(94, 298)(95, 321)(96, 322)(97, 304)(98, 302)(99, 303)(100, 323)(101, 324)(102, 310)(103, 308)(104, 309)(105, 315)(106, 314)(107, 320)(108, 319)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 36, 36 ), ( 36^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1490
Graph:: simple bipartite
	v = 162 e = 216 f = 12
	degree seq :: [ 2^108, 4^54 ]

E22.1492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|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 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1^18, Y1^-1 * Y3^-1 * 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 ]
Map::
	R = (1, 109, 2, 110, 5, 113, 11, 119, 20, 128, 32, 140, 47, 155, 61, 169, 73, 181, 85, 193, 84, 192, 72, 180, 60, 168, 46, 154, 31, 139, 19, 127, 10, 118, 4, 112)(3, 111, 7, 115, 12, 120, 22, 130, 33, 141, 49, 157, 62, 170, 75, 183, 86, 194, 97, 205, 93, 201, 81, 189, 69, 177, 57, 165, 43, 151, 28, 136, 17, 125, 8, 116)(6, 114, 13, 121, 21, 129, 34, 142, 48, 156, 63, 171, 74, 182, 87, 195, 96, 204, 95, 203, 83, 191, 71, 179, 59, 167, 45, 153, 30, 138, 18, 126, 9, 117, 14, 122)(15, 123, 25, 133, 35, 143, 51, 159, 64, 172, 77, 185, 88, 196, 99, 207, 104, 212, 102, 210, 92, 200, 80, 188, 68, 176, 56, 164, 42, 150, 27, 135, 16, 124, 26, 134)(23, 131, 36, 144, 50, 158, 65, 173, 76, 184, 89, 197, 98, 206, 105, 213, 103, 211, 94, 202, 82, 190, 70, 178, 58, 166, 44, 152, 29, 137, 38, 146, 24, 132, 37, 145)(39, 147, 52, 160, 66, 174, 78, 186, 90, 198, 100, 208, 106, 214, 108, 216, 107, 215, 101, 209, 91, 199, 79, 187, 67, 175, 55, 163, 41, 149, 54, 162, 40, 148, 53, 161)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 231)(8, 232)(9, 220)(10, 233)(11, 237)(12, 221)(13, 239)(14, 240)(15, 223)(16, 224)(17, 226)(18, 245)(19, 246)(20, 249)(21, 227)(22, 251)(23, 229)(24, 230)(25, 255)(26, 256)(27, 257)(28, 258)(29, 234)(30, 235)(31, 259)(32, 264)(33, 236)(34, 266)(35, 238)(36, 268)(37, 269)(38, 270)(39, 241)(40, 242)(41, 243)(42, 244)(43, 247)(44, 271)(45, 274)(46, 275)(47, 278)(48, 248)(49, 280)(50, 250)(51, 282)(52, 252)(53, 253)(54, 254)(55, 260)(56, 283)(57, 284)(58, 261)(59, 262)(60, 285)(61, 290)(62, 263)(63, 292)(64, 265)(65, 294)(66, 267)(67, 272)(68, 273)(69, 276)(70, 295)(71, 298)(72, 299)(73, 302)(74, 277)(75, 304)(76, 279)(77, 306)(78, 281)(79, 286)(80, 307)(81, 308)(82, 287)(83, 288)(84, 309)(85, 312)(86, 289)(87, 314)(88, 291)(89, 316)(90, 293)(91, 296)(92, 297)(93, 300)(94, 317)(95, 319)(96, 301)(97, 320)(98, 303)(99, 322)(100, 305)(101, 310)(102, 323)(103, 311)(104, 313)(105, 324)(106, 315)(107, 318)(108, 321)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1488
Graph:: simple bipartite
	v = 114 e = 216 f = 60
	degree seq :: [ 2^108, 36^6 ]

E22.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x S3 (small group id <108, 24>)
Aut   = C2 x S3 x D18 (small group id <216, 101>)
|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 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, Y3 * Y1^3 * Y3^-1 * Y1^-3, Y1^18, 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 ]
Map::
	R = (1, 109, 2, 110, 5, 113, 11, 119, 23, 131, 39, 147, 53, 161, 65, 173, 77, 185, 89, 197, 88, 196, 76, 184, 64, 172, 52, 160, 38, 146, 22, 130, 10, 118, 4, 112)(3, 111, 7, 115, 15, 123, 24, 132, 41, 149, 56, 164, 66, 174, 79, 187, 92, 200, 100, 208, 97, 205, 85, 193, 73, 181, 61, 169, 49, 157, 35, 143, 18, 126, 8, 116)(6, 114, 13, 121, 27, 135, 40, 148, 55, 163, 68, 176, 78, 186, 91, 199, 102, 210, 99, 207, 87, 195, 75, 183, 63, 171, 51, 159, 37, 145, 21, 129, 30, 138, 14, 122)(9, 117, 19, 127, 26, 134, 12, 120, 25, 133, 42, 150, 54, 162, 67, 175, 80, 188, 90, 198, 101, 209, 98, 206, 86, 194, 74, 182, 62, 170, 50, 158, 36, 144, 20, 128)(16, 124, 28, 136, 43, 151, 57, 165, 69, 177, 81, 189, 93, 201, 103, 211, 107, 215, 106, 214, 96, 204, 84, 192, 72, 180, 60, 168, 48, 156, 34, 142, 46, 154, 32, 140)(17, 125, 29, 137, 44, 152, 31, 139, 45, 153, 58, 166, 70, 178, 82, 190, 94, 202, 104, 212, 108, 216, 105, 213, 95, 203, 83, 191, 71, 179, 59, 167, 47, 155, 33, 141)(217, 325)(218, 326)(219, 327)(220, 328)(221, 329)(222, 330)(223, 331)(224, 332)(225, 333)(226, 334)(227, 335)(228, 336)(229, 337)(230, 338)(231, 339)(232, 340)(233, 341)(234, 342)(235, 343)(236, 344)(237, 345)(238, 346)(239, 347)(240, 348)(241, 349)(242, 350)(243, 351)(244, 352)(245, 353)(246, 354)(247, 355)(248, 356)(249, 357)(250, 358)(251, 359)(252, 360)(253, 361)(254, 362)(255, 363)(256, 364)(257, 365)(258, 366)(259, 367)(260, 368)(261, 369)(262, 370)(263, 371)(264, 372)(265, 373)(266, 374)(267, 375)(268, 376)(269, 377)(270, 378)(271, 379)(272, 380)(273, 381)(274, 382)(275, 383)(276, 384)(277, 385)(278, 386)(279, 387)(280, 388)(281, 389)(282, 390)(283, 391)(284, 392)(285, 393)(286, 394)(287, 395)(288, 396)(289, 397)(290, 398)(291, 399)(292, 400)(293, 401)(294, 402)(295, 403)(296, 404)(297, 405)(298, 406)(299, 407)(300, 408)(301, 409)(302, 410)(303, 411)(304, 412)(305, 413)(306, 414)(307, 415)(308, 416)(309, 417)(310, 418)(311, 419)(312, 420)(313, 421)(314, 422)(315, 423)(316, 424)(317, 425)(318, 426)(319, 427)(320, 428)(321, 429)(322, 430)(323, 431)(324, 432)
	L = (1, 219)(2, 222)(3, 217)(4, 225)(5, 228)(6, 218)(7, 232)(8, 233)(9, 220)(10, 237)(11, 240)(12, 221)(13, 244)(14, 245)(15, 247)(16, 223)(17, 224)(18, 250)(19, 248)(20, 249)(21, 226)(22, 251)(23, 256)(24, 227)(25, 259)(26, 260)(27, 261)(28, 229)(29, 230)(30, 262)(31, 231)(32, 235)(33, 236)(34, 234)(35, 238)(36, 264)(37, 263)(38, 266)(39, 270)(40, 239)(41, 273)(42, 274)(43, 241)(44, 242)(45, 243)(46, 246)(47, 253)(48, 252)(49, 275)(50, 254)(51, 276)(52, 279)(53, 282)(54, 255)(55, 285)(56, 286)(57, 257)(58, 258)(59, 265)(60, 267)(61, 288)(62, 287)(63, 268)(64, 289)(65, 294)(66, 269)(67, 297)(68, 298)(69, 271)(70, 272)(71, 278)(72, 277)(73, 280)(74, 300)(75, 299)(76, 302)(77, 306)(78, 281)(79, 309)(80, 310)(81, 283)(82, 284)(83, 291)(84, 290)(85, 311)(86, 292)(87, 312)(88, 315)(89, 316)(90, 293)(91, 319)(92, 320)(93, 295)(94, 296)(95, 301)(96, 303)(97, 322)(98, 321)(99, 304)(100, 305)(101, 323)(102, 324)(103, 307)(104, 308)(105, 314)(106, 313)(107, 317)(108, 318)(109, 325)(110, 326)(111, 327)(112, 328)(113, 329)(114, 330)(115, 331)(116, 332)(117, 333)(118, 334)(119, 335)(120, 336)(121, 337)(122, 338)(123, 339)(124, 340)(125, 341)(126, 342)(127, 343)(128, 344)(129, 345)(130, 346)(131, 347)(132, 348)(133, 349)(134, 350)(135, 351)(136, 352)(137, 353)(138, 354)(139, 355)(140, 356)(141, 357)(142, 358)(143, 359)(144, 360)(145, 361)(146, 362)(147, 363)(148, 364)(149, 365)(150, 366)(151, 367)(152, 368)(153, 369)(154, 370)(155, 371)(156, 372)(157, 373)(158, 374)(159, 375)(160, 376)(161, 377)(162, 378)(163, 379)(164, 380)(165, 381)(166, 382)(167, 383)(168, 384)(169, 385)(170, 386)(171, 387)(172, 388)(173, 389)(174, 390)(175, 391)(176, 392)(177, 393)(178, 394)(179, 395)(180, 396)(181, 397)(182, 398)(183, 399)(184, 400)(185, 401)(186, 402)(187, 403)(188, 404)(189, 405)(190, 406)(191, 407)(192, 408)(193, 409)(194, 410)(195, 411)(196, 412)(197, 413)(198, 414)(199, 415)(200, 416)(201, 417)(202, 418)(203, 419)(204, 420)(205, 421)(206, 422)(207, 423)(208, 424)(209, 425)(210, 426)(211, 427)(212, 428)(213, 429)(214, 430)(215, 431)(216, 432)
	local type(s) :: { ( 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E22.1489
Graph:: simple bipartite
	v = 114 e = 216 f = 60
	degree seq :: [ 2^108, 36^6 ]

E22.1494 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 55})
Quotient :: regular
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^8 * T2 * T1^-3 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 71, 89, 56, 84, 105, 93, 60, 35, 53, 81, 104, 110, 91, 58, 33, 16, 28, 48, 76, 101, 95, 107, 108, 88, 106, 92, 59, 34, 17, 29, 49, 77, 102, 109, 90, 57, 32, 52, 80, 103, 94, 61, 85, 100, 70, 42, 22, 10, 4)(3, 7, 15, 31, 55, 87, 78, 46, 24, 45, 75, 66, 40, 21, 39, 65, 97, 86, 54, 30, 14, 6, 13, 27, 51, 83, 69, 99, 74, 44, 73, 64, 38, 20, 9, 19, 37, 63, 96, 82, 50, 26, 12, 25, 47, 79, 68, 41, 67, 98, 72, 62, 36, 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, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 87)(71, 97)(73, 101)(74, 102)(75, 103)(78, 104)(79, 105)(82, 100)(83, 106)(86, 107)(96, 108)(98, 109)(99, 110)
	local type(s) :: { ( 10^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1495
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 55 f = 11
	degree seq :: [ 55^2 ]

E22.1495 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 10, 55})
Quotient :: regular
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^3 * T2 * T1^-4 * T2 * T1, T1^10, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 31, 19, 10, 4)(3, 7, 12, 22, 33, 47, 43, 28, 17, 8)(6, 13, 21, 34, 46, 45, 30, 18, 9, 14)(15, 25, 35, 49, 60, 57, 42, 27, 16, 26)(23, 36, 48, 61, 59, 44, 29, 38, 24, 37)(39, 53, 62, 74, 71, 56, 41, 55, 40, 54)(50, 63, 73, 72, 58, 66, 52, 65, 51, 64)(67, 79, 85, 83, 70, 82, 69, 81, 68, 80)(75, 86, 84, 90, 78, 89, 77, 88, 76, 87)(91, 101, 95, 105, 94, 104, 93, 103, 92, 102)(96, 106, 100, 110, 99, 109, 98, 108, 97, 107)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 33)(22, 35)(25, 39)(26, 40)(27, 41)(28, 42)(31, 43)(32, 46)(34, 48)(36, 50)(37, 51)(38, 52)(44, 58)(45, 59)(47, 60)(49, 62)(53, 67)(54, 68)(55, 69)(56, 70)(57, 71)(61, 73)(63, 75)(64, 76)(65, 77)(66, 78)(72, 84)(74, 85)(79, 91)(80, 92)(81, 93)(82, 94)(83, 95)(86, 96)(87, 97)(88, 98)(89, 99)(90, 100)(101, 109)(102, 110)(103, 106)(104, 107)(105, 108)
	local type(s) :: { ( 55^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1494
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 11 e = 55 f = 2
	degree seq :: [ 10^11 ]

E22.1496 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 55})
Quotient :: edge
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^55 ]
Map::
	R = (1, 3, 8, 17, 28, 43, 31, 19, 10, 4)(2, 5, 12, 22, 35, 50, 38, 24, 14, 6)(7, 15, 26, 41, 56, 45, 30, 18, 9, 16)(11, 20, 33, 48, 63, 52, 37, 23, 13, 21)(25, 39, 54, 69, 59, 44, 29, 42, 27, 40)(32, 46, 61, 75, 66, 51, 36, 49, 34, 47)(53, 67, 80, 72, 58, 71, 57, 70, 55, 68)(60, 73, 86, 78, 65, 77, 64, 76, 62, 74)(79, 91, 84, 95, 83, 94, 82, 93, 81, 92)(85, 96, 90, 100, 89, 99, 88, 98, 87, 97)(101, 108, 105, 107, 104, 106, 103, 110, 102, 109)(111, 112)(113, 117)(114, 119)(115, 121)(116, 123)(118, 122)(120, 124)(125, 135)(126, 137)(127, 136)(128, 139)(129, 140)(130, 142)(131, 144)(132, 143)(133, 146)(134, 147)(138, 145)(141, 148)(149, 163)(150, 165)(151, 164)(152, 167)(153, 166)(154, 168)(155, 169)(156, 170)(157, 172)(158, 171)(159, 174)(160, 173)(161, 175)(162, 176)(177, 189)(178, 191)(179, 190)(180, 192)(181, 193)(182, 194)(183, 195)(184, 197)(185, 196)(186, 198)(187, 199)(188, 200)(201, 211)(202, 212)(203, 213)(204, 214)(205, 215)(206, 216)(207, 217)(208, 218)(209, 219)(210, 220)
	L = (1, 111)(2, 112)(3, 113)(4, 114)(5, 115)(6, 116)(7, 117)(8, 118)(9, 119)(10, 120)(11, 121)(12, 122)(13, 123)(14, 124)(15, 125)(16, 126)(17, 127)(18, 128)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 134)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 140)(31, 141)(32, 142)(33, 143)(34, 144)(35, 145)(36, 146)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 152)(43, 153)(44, 154)(45, 155)(46, 156)(47, 157)(48, 158)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 165)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 110, 110 ), ( 110^10 ) }
Outer automorphisms :: reflexible
Dual of E22.1500
Transitivity :: ET+
Graph:: simple bipartite
	v = 66 e = 110 f = 2
	degree seq :: [ 2^55, 10^11 ]

E22.1497 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 55})
Quotient :: edge
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^-2 * T2 * T1^2 * T2^-1, (T2^4 * T1^-1)^2, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3, T1^10, T2^4 * T1^-1 * T2^-3 * T1 * T2^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 79, 99, 89, 70, 55, 61, 34, 21, 42, 71, 91, 109, 107, 87, 67, 39, 20, 13, 28, 51, 73, 93, 110, 106, 86, 66, 38, 18, 6, 17, 36, 64, 85, 105, 108, 88, 68, 41, 30, 53, 62, 43, 72, 92, 104, 84, 59, 33, 15, 5)(2, 7, 19, 40, 69, 90, 97, 77, 47, 26, 50, 60, 37, 32, 57, 82, 102, 95, 75, 45, 23, 9, 4, 12, 29, 54, 80, 100, 98, 78, 49, 63, 35, 16, 14, 31, 56, 81, 101, 96, 76, 46, 24, 11, 27, 52, 65, 58, 83, 103, 94, 74, 44, 22, 8)(111, 112, 116, 126, 144, 170, 163, 137, 123, 114)(113, 119, 127, 118, 131, 145, 172, 160, 138, 121)(115, 124, 128, 147, 171, 162, 140, 122, 130, 117)(120, 134, 146, 133, 152, 132, 153, 173, 161, 136)(125, 142, 148, 175, 165, 139, 151, 129, 149, 141)(135, 157, 174, 156, 181, 155, 182, 154, 183, 159)(143, 168, 176, 164, 180, 150, 178, 166, 177, 167)(158, 188, 195, 187, 201, 186, 202, 185, 203, 184)(169, 190, 196, 179, 199, 191, 198, 192, 197, 193)(189, 204, 215, 208, 219, 207, 214, 206, 220, 205)(194, 200, 216, 211, 209, 212, 218, 213, 217, 210)
	L = (1, 111)(2, 112)(3, 113)(4, 114)(5, 115)(6, 116)(7, 117)(8, 118)(9, 119)(10, 120)(11, 121)(12, 122)(13, 123)(14, 124)(15, 125)(16, 126)(17, 127)(18, 128)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 134)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 140)(31, 141)(32, 142)(33, 143)(34, 144)(35, 145)(36, 146)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 152)(43, 153)(44, 154)(45, 155)(46, 156)(47, 157)(48, 158)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 165)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 4^10 ), ( 4^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1501
Transitivity :: ET+
Graph:: bipartite
	v = 13 e = 110 f = 55
	degree seq :: [ 10^11, 55^2 ]

E22.1498 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 10, 55})
Quotient :: edge
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^8 * T2 * T1^-3 * T2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 69)(43, 72)(45, 76)(46, 77)(47, 80)(50, 81)(51, 84)(54, 85)(55, 88)(62, 95)(63, 89)(64, 94)(65, 90)(66, 93)(67, 91)(68, 92)(70, 87)(71, 97)(73, 101)(74, 102)(75, 103)(78, 104)(79, 105)(82, 100)(83, 106)(86, 107)(96, 108)(98, 109)(99, 110)(111, 112, 115, 121, 133, 153, 181, 199, 166, 194, 215, 203, 170, 145, 163, 191, 214, 220, 201, 168, 143, 126, 138, 158, 186, 211, 205, 217, 218, 198, 216, 202, 169, 144, 127, 139, 159, 187, 212, 219, 200, 167, 142, 162, 190, 213, 204, 171, 195, 210, 180, 152, 132, 120, 114)(113, 117, 125, 141, 165, 197, 188, 156, 134, 155, 185, 176, 150, 131, 149, 175, 207, 196, 164, 140, 124, 116, 123, 137, 161, 193, 179, 209, 184, 154, 183, 174, 148, 130, 119, 129, 147, 173, 206, 192, 160, 136, 122, 135, 157, 189, 178, 151, 177, 208, 182, 172, 146, 128, 118)
	L = (1, 111)(2, 112)(3, 113)(4, 114)(5, 115)(6, 116)(7, 117)(8, 118)(9, 119)(10, 120)(11, 121)(12, 122)(13, 123)(14, 124)(15, 125)(16, 126)(17, 127)(18, 128)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 134)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 140)(31, 141)(32, 142)(33, 143)(34, 144)(35, 145)(36, 146)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 152)(43, 153)(44, 154)(45, 155)(46, 156)(47, 157)(48, 158)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 165)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)
	local type(s) :: { ( 20, 20 ), ( 20^55 ) }
Outer automorphisms :: reflexible
Dual of E22.1499
Transitivity :: ET+
Graph:: simple bipartite
	v = 57 e = 110 f = 11
	degree seq :: [ 2^55, 55^2 ]

E22.1499 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 55})
Quotient :: loop
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^2 * T1, T2^10, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^55 ]
Map::
	R = (1, 111, 3, 113, 8, 118, 17, 127, 28, 138, 43, 153, 31, 141, 19, 129, 10, 120, 4, 114)(2, 112, 5, 115, 12, 122, 22, 132, 35, 145, 50, 160, 38, 148, 24, 134, 14, 124, 6, 116)(7, 117, 15, 125, 26, 136, 41, 151, 56, 166, 45, 155, 30, 140, 18, 128, 9, 119, 16, 126)(11, 121, 20, 130, 33, 143, 48, 158, 63, 173, 52, 162, 37, 147, 23, 133, 13, 123, 21, 131)(25, 135, 39, 149, 54, 164, 69, 179, 59, 169, 44, 154, 29, 139, 42, 152, 27, 137, 40, 150)(32, 142, 46, 156, 61, 171, 75, 185, 66, 176, 51, 161, 36, 146, 49, 159, 34, 144, 47, 157)(53, 163, 67, 177, 80, 190, 72, 182, 58, 168, 71, 181, 57, 167, 70, 180, 55, 165, 68, 178)(60, 170, 73, 183, 86, 196, 78, 188, 65, 175, 77, 187, 64, 174, 76, 186, 62, 172, 74, 184)(79, 189, 91, 201, 84, 194, 95, 205, 83, 193, 94, 204, 82, 192, 93, 203, 81, 191, 92, 202)(85, 195, 96, 206, 90, 200, 100, 210, 89, 199, 99, 209, 88, 198, 98, 208, 87, 197, 97, 207)(101, 211, 108, 218, 105, 215, 107, 217, 104, 214, 106, 216, 103, 213, 110, 220, 102, 212, 109, 219)
	L = (1, 112)(2, 111)(3, 117)(4, 119)(5, 121)(6, 123)(7, 113)(8, 122)(9, 114)(10, 124)(11, 115)(12, 118)(13, 116)(14, 120)(15, 135)(16, 137)(17, 136)(18, 139)(19, 140)(20, 142)(21, 144)(22, 143)(23, 146)(24, 147)(25, 125)(26, 127)(27, 126)(28, 145)(29, 128)(30, 129)(31, 148)(32, 130)(33, 132)(34, 131)(35, 138)(36, 133)(37, 134)(38, 141)(39, 163)(40, 165)(41, 164)(42, 167)(43, 166)(44, 168)(45, 169)(46, 170)(47, 172)(48, 171)(49, 174)(50, 173)(51, 175)(52, 176)(53, 149)(54, 151)(55, 150)(56, 153)(57, 152)(58, 154)(59, 155)(60, 156)(61, 158)(62, 157)(63, 160)(64, 159)(65, 161)(66, 162)(67, 189)(68, 191)(69, 190)(70, 192)(71, 193)(72, 194)(73, 195)(74, 197)(75, 196)(76, 198)(77, 199)(78, 200)(79, 177)(80, 179)(81, 178)(82, 180)(83, 181)(84, 182)(85, 183)(86, 185)(87, 184)(88, 186)(89, 187)(90, 188)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 201)(102, 202)(103, 203)(104, 204)(105, 205)(106, 206)(107, 207)(108, 208)(109, 209)(110, 210)
	local type(s) :: { ( 2, 55, 2, 55, 2, 55, 2, 55, 2, 55, 2, 55, 2, 55, 2, 55, 2, 55, 2, 55 ) }
Outer automorphisms :: reflexible
Dual of E22.1498
Transitivity :: ET+ VT+ AT
Graph::
	v = 11 e = 110 f = 57
	degree seq :: [ 20^11 ]

E22.1500 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 55})
Quotient :: loop
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^-2 * T2 * T1^2 * T2^-1, (T2^4 * T1^-1)^2, T2^2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3, T1^10, T2^4 * T1^-1 * T2^-3 * T1 * T2^4 ]
Map::
	R = (1, 111, 3, 113, 10, 120, 25, 135, 48, 158, 79, 189, 99, 209, 89, 199, 70, 180, 55, 165, 61, 171, 34, 144, 21, 131, 42, 152, 71, 181, 91, 201, 109, 219, 107, 217, 87, 197, 67, 177, 39, 149, 20, 130, 13, 123, 28, 138, 51, 161, 73, 183, 93, 203, 110, 220, 106, 216, 86, 196, 66, 176, 38, 148, 18, 128, 6, 116, 17, 127, 36, 146, 64, 174, 85, 195, 105, 215, 108, 218, 88, 198, 68, 178, 41, 151, 30, 140, 53, 163, 62, 172, 43, 153, 72, 182, 92, 202, 104, 214, 84, 194, 59, 169, 33, 143, 15, 125, 5, 115)(2, 112, 7, 117, 19, 129, 40, 150, 69, 179, 90, 200, 97, 207, 77, 187, 47, 157, 26, 136, 50, 160, 60, 170, 37, 147, 32, 142, 57, 167, 82, 192, 102, 212, 95, 205, 75, 185, 45, 155, 23, 133, 9, 119, 4, 114, 12, 122, 29, 139, 54, 164, 80, 190, 100, 210, 98, 208, 78, 188, 49, 159, 63, 173, 35, 145, 16, 126, 14, 124, 31, 141, 56, 166, 81, 191, 101, 211, 96, 206, 76, 186, 46, 156, 24, 134, 11, 121, 27, 137, 52, 162, 65, 175, 58, 168, 83, 193, 103, 213, 94, 204, 74, 184, 44, 154, 22, 132, 8, 118)
	L = (1, 112)(2, 116)(3, 119)(4, 111)(5, 124)(6, 126)(7, 115)(8, 131)(9, 127)(10, 134)(11, 113)(12, 130)(13, 114)(14, 128)(15, 142)(16, 144)(17, 118)(18, 147)(19, 149)(20, 117)(21, 145)(22, 153)(23, 152)(24, 146)(25, 157)(26, 120)(27, 123)(28, 121)(29, 151)(30, 122)(31, 125)(32, 148)(33, 168)(34, 170)(35, 172)(36, 133)(37, 171)(38, 175)(39, 141)(40, 178)(41, 129)(42, 132)(43, 173)(44, 183)(45, 182)(46, 181)(47, 174)(48, 188)(49, 135)(50, 138)(51, 136)(52, 140)(53, 137)(54, 180)(55, 139)(56, 177)(57, 143)(58, 176)(59, 190)(60, 163)(61, 162)(62, 160)(63, 161)(64, 156)(65, 165)(66, 164)(67, 167)(68, 166)(69, 199)(70, 150)(71, 155)(72, 154)(73, 159)(74, 158)(75, 203)(76, 202)(77, 201)(78, 195)(79, 204)(80, 196)(81, 198)(82, 197)(83, 169)(84, 200)(85, 187)(86, 179)(87, 193)(88, 192)(89, 191)(90, 216)(91, 186)(92, 185)(93, 184)(94, 215)(95, 189)(96, 220)(97, 214)(98, 219)(99, 212)(100, 194)(101, 209)(102, 218)(103, 217)(104, 206)(105, 208)(106, 211)(107, 210)(108, 213)(109, 207)(110, 205)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1496
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 110 f = 66
	degree seq :: [ 110^2 ]

E22.1501 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 10, 55})
Quotient :: loop
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^5)^2, T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2, T1^8 * T2 * T1^-3 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 111, 3, 113)(2, 112, 6, 116)(4, 114, 9, 119)(5, 115, 12, 122)(7, 117, 16, 126)(8, 118, 17, 127)(10, 120, 21, 131)(11, 121, 24, 134)(13, 123, 28, 138)(14, 124, 29, 139)(15, 125, 32, 142)(18, 128, 35, 145)(19, 129, 33, 143)(20, 130, 34, 144)(22, 132, 41, 151)(23, 133, 44, 154)(25, 135, 48, 158)(26, 136, 49, 159)(27, 137, 52, 162)(30, 140, 53, 163)(31, 141, 56, 166)(36, 146, 61, 171)(37, 147, 57, 167)(38, 148, 60, 170)(39, 149, 58, 168)(40, 150, 59, 169)(42, 152, 69, 179)(43, 153, 72, 182)(45, 155, 76, 186)(46, 156, 77, 187)(47, 157, 80, 190)(50, 160, 81, 191)(51, 161, 84, 194)(54, 164, 85, 195)(55, 165, 88, 198)(62, 172, 95, 205)(63, 173, 89, 199)(64, 174, 94, 204)(65, 175, 90, 200)(66, 176, 93, 203)(67, 177, 91, 201)(68, 178, 92, 202)(70, 180, 87, 197)(71, 181, 97, 207)(73, 183, 101, 211)(74, 184, 102, 212)(75, 185, 103, 213)(78, 188, 104, 214)(79, 189, 105, 215)(82, 192, 100, 210)(83, 193, 106, 216)(86, 196, 107, 217)(96, 206, 108, 218)(98, 208, 109, 219)(99, 209, 110, 220)
	L = (1, 112)(2, 115)(3, 117)(4, 111)(5, 121)(6, 123)(7, 125)(8, 113)(9, 129)(10, 114)(11, 133)(12, 135)(13, 137)(14, 116)(15, 141)(16, 138)(17, 139)(18, 118)(19, 147)(20, 119)(21, 149)(22, 120)(23, 153)(24, 155)(25, 157)(26, 122)(27, 161)(28, 158)(29, 159)(30, 124)(31, 165)(32, 162)(33, 126)(34, 127)(35, 163)(36, 128)(37, 173)(38, 130)(39, 175)(40, 131)(41, 177)(42, 132)(43, 181)(44, 183)(45, 185)(46, 134)(47, 189)(48, 186)(49, 187)(50, 136)(51, 193)(52, 190)(53, 191)(54, 140)(55, 197)(56, 194)(57, 142)(58, 143)(59, 144)(60, 145)(61, 195)(62, 146)(63, 206)(64, 148)(65, 207)(66, 150)(67, 208)(68, 151)(69, 209)(70, 152)(71, 199)(72, 172)(73, 174)(74, 154)(75, 176)(76, 211)(77, 212)(78, 156)(79, 178)(80, 213)(81, 214)(82, 160)(83, 179)(84, 215)(85, 210)(86, 164)(87, 188)(88, 216)(89, 166)(90, 167)(91, 168)(92, 169)(93, 170)(94, 171)(95, 217)(96, 192)(97, 196)(98, 182)(99, 184)(100, 180)(101, 205)(102, 219)(103, 204)(104, 220)(105, 203)(106, 202)(107, 218)(108, 198)(109, 200)(110, 201)
	local type(s) :: { ( 10, 55, 10, 55 ) }
Outer automorphisms :: reflexible
Dual of E22.1497
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 55 e = 110 f = 13
	degree seq :: [ 4^55 ]

E22.1502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 55})
Quotient :: dipole
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|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, Y2^10, Y2^-3 * Y1 * Y2^-6 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^55 ]
Map::
	R = (1, 111, 2, 112)(3, 113, 7, 117)(4, 114, 9, 119)(5, 115, 11, 121)(6, 116, 13, 123)(8, 118, 12, 122)(10, 120, 14, 124)(15, 125, 25, 135)(16, 126, 27, 137)(17, 127, 26, 136)(18, 128, 29, 139)(19, 129, 30, 140)(20, 130, 32, 142)(21, 131, 34, 144)(22, 132, 33, 143)(23, 133, 36, 146)(24, 134, 37, 147)(28, 138, 35, 145)(31, 141, 38, 148)(39, 149, 53, 163)(40, 150, 55, 165)(41, 151, 54, 164)(42, 152, 57, 167)(43, 153, 56, 166)(44, 154, 58, 168)(45, 155, 59, 169)(46, 156, 60, 170)(47, 157, 62, 172)(48, 158, 61, 171)(49, 159, 64, 174)(50, 160, 63, 173)(51, 161, 65, 175)(52, 162, 66, 176)(67, 177, 79, 189)(68, 178, 81, 191)(69, 179, 80, 190)(70, 180, 82, 192)(71, 181, 83, 193)(72, 182, 84, 194)(73, 183, 85, 195)(74, 184, 87, 197)(75, 185, 86, 196)(76, 186, 88, 198)(77, 187, 89, 199)(78, 188, 90, 200)(91, 201, 101, 211)(92, 202, 102, 212)(93, 203, 103, 213)(94, 204, 104, 214)(95, 205, 105, 215)(96, 206, 106, 216)(97, 207, 107, 217)(98, 208, 108, 218)(99, 209, 109, 219)(100, 210, 110, 220)(221, 331, 223, 333, 228, 338, 237, 347, 248, 358, 263, 373, 251, 361, 239, 349, 230, 340, 224, 334)(222, 332, 225, 335, 232, 342, 242, 352, 255, 365, 270, 380, 258, 368, 244, 354, 234, 344, 226, 336)(227, 337, 235, 345, 246, 356, 261, 371, 276, 386, 265, 375, 250, 360, 238, 348, 229, 339, 236, 346)(231, 341, 240, 350, 253, 363, 268, 378, 283, 393, 272, 382, 257, 367, 243, 353, 233, 343, 241, 351)(245, 355, 259, 369, 274, 384, 289, 399, 279, 389, 264, 374, 249, 359, 262, 372, 247, 357, 260, 370)(252, 362, 266, 376, 281, 391, 295, 405, 286, 396, 271, 381, 256, 366, 269, 379, 254, 364, 267, 377)(273, 383, 287, 397, 300, 410, 292, 402, 278, 388, 291, 401, 277, 387, 290, 400, 275, 385, 288, 398)(280, 390, 293, 403, 306, 416, 298, 408, 285, 395, 297, 407, 284, 394, 296, 406, 282, 392, 294, 404)(299, 409, 311, 421, 304, 414, 315, 425, 303, 413, 314, 424, 302, 412, 313, 423, 301, 411, 312, 422)(305, 415, 316, 426, 310, 420, 320, 430, 309, 419, 319, 429, 308, 418, 318, 428, 307, 417, 317, 427)(321, 431, 328, 438, 325, 435, 327, 437, 324, 434, 326, 436, 323, 433, 330, 440, 322, 432, 329, 439)
	L = (1, 222)(2, 221)(3, 227)(4, 229)(5, 231)(6, 233)(7, 223)(8, 232)(9, 224)(10, 234)(11, 225)(12, 228)(13, 226)(14, 230)(15, 245)(16, 247)(17, 246)(18, 249)(19, 250)(20, 252)(21, 254)(22, 253)(23, 256)(24, 257)(25, 235)(26, 237)(27, 236)(28, 255)(29, 238)(30, 239)(31, 258)(32, 240)(33, 242)(34, 241)(35, 248)(36, 243)(37, 244)(38, 251)(39, 273)(40, 275)(41, 274)(42, 277)(43, 276)(44, 278)(45, 279)(46, 280)(47, 282)(48, 281)(49, 284)(50, 283)(51, 285)(52, 286)(53, 259)(54, 261)(55, 260)(56, 263)(57, 262)(58, 264)(59, 265)(60, 266)(61, 268)(62, 267)(63, 270)(64, 269)(65, 271)(66, 272)(67, 299)(68, 301)(69, 300)(70, 302)(71, 303)(72, 304)(73, 305)(74, 307)(75, 306)(76, 308)(77, 309)(78, 310)(79, 287)(80, 289)(81, 288)(82, 290)(83, 291)(84, 292)(85, 293)(86, 295)(87, 294)(88, 296)(89, 297)(90, 298)(91, 321)(92, 322)(93, 323)(94, 324)(95, 325)(96, 326)(97, 327)(98, 328)(99, 329)(100, 330)(101, 311)(102, 312)(103, 313)(104, 314)(105, 315)(106, 316)(107, 317)(108, 318)(109, 319)(110, 320)(111, 331)(112, 332)(113, 333)(114, 334)(115, 335)(116, 336)(117, 337)(118, 338)(119, 339)(120, 340)(121, 341)(122, 342)(123, 343)(124, 344)(125, 345)(126, 346)(127, 347)(128, 348)(129, 349)(130, 350)(131, 351)(132, 352)(133, 353)(134, 354)(135, 355)(136, 356)(137, 357)(138, 358)(139, 359)(140, 360)(141, 361)(142, 362)(143, 363)(144, 364)(145, 365)(146, 366)(147, 367)(148, 368)(149, 369)(150, 370)(151, 371)(152, 372)(153, 373)(154, 374)(155, 375)(156, 376)(157, 377)(158, 378)(159, 379)(160, 380)(161, 381)(162, 382)(163, 383)(164, 384)(165, 385)(166, 386)(167, 387)(168, 388)(169, 389)(170, 390)(171, 391)(172, 392)(173, 393)(174, 394)(175, 395)(176, 396)(177, 397)(178, 398)(179, 399)(180, 400)(181, 401)(182, 402)(183, 403)(184, 404)(185, 405)(186, 406)(187, 407)(188, 408)(189, 409)(190, 410)(191, 411)(192, 412)(193, 413)(194, 414)(195, 415)(196, 416)(197, 417)(198, 418)(199, 419)(200, 420)(201, 421)(202, 422)(203, 423)(204, 424)(205, 425)(206, 426)(207, 427)(208, 428)(209, 429)(210, 430)(211, 431)(212, 432)(213, 433)(214, 434)(215, 435)(216, 436)(217, 437)(218, 438)(219, 439)(220, 440)
	local type(s) :: { ( 2, 110, 2, 110 ), ( 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110, 2, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1505
Graph:: bipartite
	v = 66 e = 220 f = 112
	degree seq :: [ 4^55, 20^11 ]

E22.1503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 55})
Quotient :: dipole
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^2 * Y1^-3 * Y2 * Y1^-2 * Y2 * Y1^-1, (Y1 * Y2^-4)^2, Y1^10, Y1 * Y2^-7 * Y1 * Y2^4, Y1^-2 * Y2^3 * Y1 * Y2^-2 * Y1 * Y2^4 * Y1 * Y2^-1 * Y1^-1 * Y2 ]
Map::
	R = (1, 111, 2, 112, 6, 116, 16, 126, 34, 144, 60, 170, 53, 163, 27, 137, 13, 123, 4, 114)(3, 113, 9, 119, 17, 127, 8, 118, 21, 131, 35, 145, 62, 172, 50, 160, 28, 138, 11, 121)(5, 115, 14, 124, 18, 128, 37, 147, 61, 171, 52, 162, 30, 140, 12, 122, 20, 130, 7, 117)(10, 120, 24, 134, 36, 146, 23, 133, 42, 152, 22, 132, 43, 153, 63, 173, 51, 161, 26, 136)(15, 125, 32, 142, 38, 148, 65, 175, 55, 165, 29, 139, 41, 151, 19, 129, 39, 149, 31, 141)(25, 135, 47, 157, 64, 174, 46, 156, 71, 181, 45, 155, 72, 182, 44, 154, 73, 183, 49, 159)(33, 143, 58, 168, 66, 176, 54, 164, 70, 180, 40, 150, 68, 178, 56, 166, 67, 177, 57, 167)(48, 158, 78, 188, 85, 195, 77, 187, 91, 201, 76, 186, 92, 202, 75, 185, 93, 203, 74, 184)(59, 169, 80, 190, 86, 196, 69, 179, 89, 199, 81, 191, 88, 198, 82, 192, 87, 197, 83, 193)(79, 189, 94, 204, 105, 215, 98, 208, 109, 219, 97, 207, 104, 214, 96, 206, 110, 220, 95, 205)(84, 194, 90, 200, 106, 216, 101, 211, 99, 209, 102, 212, 108, 218, 103, 213, 107, 217, 100, 210)(221, 331, 223, 333, 230, 340, 245, 355, 268, 378, 299, 409, 319, 429, 309, 419, 290, 400, 275, 385, 281, 391, 254, 364, 241, 351, 262, 372, 291, 401, 311, 421, 329, 439, 327, 437, 307, 417, 287, 397, 259, 369, 240, 350, 233, 343, 248, 358, 271, 381, 293, 403, 313, 423, 330, 440, 326, 436, 306, 416, 286, 396, 258, 368, 238, 348, 226, 336, 237, 347, 256, 366, 284, 394, 305, 415, 325, 435, 328, 438, 308, 418, 288, 398, 261, 371, 250, 360, 273, 383, 282, 392, 263, 373, 292, 402, 312, 422, 324, 434, 304, 414, 279, 389, 253, 363, 235, 345, 225, 335)(222, 332, 227, 337, 239, 349, 260, 370, 289, 399, 310, 420, 317, 427, 297, 407, 267, 377, 246, 356, 270, 380, 280, 390, 257, 367, 252, 362, 277, 387, 302, 412, 322, 432, 315, 425, 295, 405, 265, 375, 243, 353, 229, 339, 224, 334, 232, 342, 249, 359, 274, 384, 300, 410, 320, 430, 318, 428, 298, 408, 269, 379, 283, 393, 255, 365, 236, 346, 234, 344, 251, 361, 276, 386, 301, 411, 321, 431, 316, 426, 296, 406, 266, 376, 244, 354, 231, 341, 247, 357, 272, 382, 285, 395, 278, 388, 303, 413, 323, 433, 314, 424, 294, 404, 264, 374, 242, 352, 228, 338)
	L = (1, 223)(2, 227)(3, 230)(4, 232)(5, 221)(6, 237)(7, 239)(8, 222)(9, 224)(10, 245)(11, 247)(12, 249)(13, 248)(14, 251)(15, 225)(16, 234)(17, 256)(18, 226)(19, 260)(20, 233)(21, 262)(22, 228)(23, 229)(24, 231)(25, 268)(26, 270)(27, 272)(28, 271)(29, 274)(30, 273)(31, 276)(32, 277)(33, 235)(34, 241)(35, 236)(36, 284)(37, 252)(38, 238)(39, 240)(40, 289)(41, 250)(42, 291)(43, 292)(44, 242)(45, 243)(46, 244)(47, 246)(48, 299)(49, 283)(50, 280)(51, 293)(52, 285)(53, 282)(54, 300)(55, 281)(56, 301)(57, 302)(58, 303)(59, 253)(60, 257)(61, 254)(62, 263)(63, 255)(64, 305)(65, 278)(66, 258)(67, 259)(68, 261)(69, 310)(70, 275)(71, 311)(72, 312)(73, 313)(74, 264)(75, 265)(76, 266)(77, 267)(78, 269)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 279)(85, 325)(86, 286)(87, 287)(88, 288)(89, 290)(90, 317)(91, 329)(92, 324)(93, 330)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 309)(100, 318)(101, 316)(102, 315)(103, 314)(104, 304)(105, 328)(106, 306)(107, 307)(108, 308)(109, 327)(110, 326)(111, 331)(112, 332)(113, 333)(114, 334)(115, 335)(116, 336)(117, 337)(118, 338)(119, 339)(120, 340)(121, 341)(122, 342)(123, 343)(124, 344)(125, 345)(126, 346)(127, 347)(128, 348)(129, 349)(130, 350)(131, 351)(132, 352)(133, 353)(134, 354)(135, 355)(136, 356)(137, 357)(138, 358)(139, 359)(140, 360)(141, 361)(142, 362)(143, 363)(144, 364)(145, 365)(146, 366)(147, 367)(148, 368)(149, 369)(150, 370)(151, 371)(152, 372)(153, 373)(154, 374)(155, 375)(156, 376)(157, 377)(158, 378)(159, 379)(160, 380)(161, 381)(162, 382)(163, 383)(164, 384)(165, 385)(166, 386)(167, 387)(168, 388)(169, 389)(170, 390)(171, 391)(172, 392)(173, 393)(174, 394)(175, 395)(176, 396)(177, 397)(178, 398)(179, 399)(180, 400)(181, 401)(182, 402)(183, 403)(184, 404)(185, 405)(186, 406)(187, 407)(188, 408)(189, 409)(190, 410)(191, 411)(192, 412)(193, 413)(194, 414)(195, 415)(196, 416)(197, 417)(198, 418)(199, 419)(200, 420)(201, 421)(202, 422)(203, 423)(204, 424)(205, 425)(206, 426)(207, 427)(208, 428)(209, 429)(210, 430)(211, 431)(212, 432)(213, 433)(214, 434)(215, 435)(216, 436)(217, 437)(218, 438)(219, 439)(220, 440)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1504
Graph:: bipartite
	v = 13 e = 220 f = 165
	degree seq :: [ 20^11, 110^2 ]

E22.1504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 55})
Quotient :: dipole
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|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, (Y3^5 * Y2)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2, Y3^7 * Y2 * Y3^-3 * Y2 * Y3, (Y3^-1 * Y1^-1)^55 ]
Map:: polytopal
	R = (1, 111)(2, 112)(3, 113)(4, 114)(5, 115)(6, 116)(7, 117)(8, 118)(9, 119)(10, 120)(11, 121)(12, 122)(13, 123)(14, 124)(15, 125)(16, 126)(17, 127)(18, 128)(19, 129)(20, 130)(21, 131)(22, 132)(23, 133)(24, 134)(25, 135)(26, 136)(27, 137)(28, 138)(29, 139)(30, 140)(31, 141)(32, 142)(33, 143)(34, 144)(35, 145)(36, 146)(37, 147)(38, 148)(39, 149)(40, 150)(41, 151)(42, 152)(43, 153)(44, 154)(45, 155)(46, 156)(47, 157)(48, 158)(49, 159)(50, 160)(51, 161)(52, 162)(53, 163)(54, 164)(55, 165)(56, 166)(57, 167)(58, 168)(59, 169)(60, 170)(61, 171)(62, 172)(63, 173)(64, 174)(65, 175)(66, 176)(67, 177)(68, 178)(69, 179)(70, 180)(71, 181)(72, 182)(73, 183)(74, 184)(75, 185)(76, 186)(77, 187)(78, 188)(79, 189)(80, 190)(81, 191)(82, 192)(83, 193)(84, 194)(85, 195)(86, 196)(87, 197)(88, 198)(89, 199)(90, 200)(91, 201)(92, 202)(93, 203)(94, 204)(95, 205)(96, 206)(97, 207)(98, 208)(99, 209)(100, 210)(101, 211)(102, 212)(103, 213)(104, 214)(105, 215)(106, 216)(107, 217)(108, 218)(109, 219)(110, 220)(221, 331, 222, 332)(223, 333, 227, 337)(224, 334, 229, 339)(225, 335, 231, 341)(226, 336, 233, 343)(228, 338, 237, 347)(230, 340, 241, 351)(232, 342, 245, 355)(234, 344, 249, 359)(235, 345, 243, 353)(236, 346, 247, 357)(238, 348, 255, 365)(239, 349, 244, 354)(240, 350, 248, 358)(242, 352, 261, 371)(246, 356, 267, 377)(250, 360, 273, 383)(251, 361, 265, 375)(252, 362, 271, 381)(253, 363, 263, 373)(254, 364, 269, 379)(256, 366, 281, 391)(257, 367, 266, 376)(258, 368, 272, 382)(259, 369, 264, 374)(260, 370, 270, 380)(262, 372, 289, 399)(268, 378, 297, 407)(274, 384, 305, 415)(275, 385, 295, 405)(276, 386, 303, 413)(277, 387, 293, 403)(278, 388, 301, 411)(279, 389, 291, 401)(280, 390, 299, 409)(282, 392, 306, 416)(283, 393, 296, 406)(284, 394, 304, 414)(285, 395, 294, 404)(286, 396, 302, 412)(287, 397, 292, 402)(288, 398, 300, 410)(290, 400, 298, 408)(307, 417, 326, 436)(308, 418, 330, 440)(309, 419, 325, 435)(310, 420, 320, 430)(311, 421, 323, 433)(312, 422, 329, 439)(313, 423, 321, 431)(314, 424, 328, 438)(315, 425, 317, 427)(316, 426, 327, 437)(318, 428, 324, 434)(319, 429, 322, 432)
	L = (1, 223)(2, 225)(3, 228)(4, 221)(5, 232)(6, 222)(7, 235)(8, 238)(9, 239)(10, 224)(11, 243)(12, 246)(13, 247)(14, 226)(15, 251)(16, 227)(17, 253)(18, 256)(19, 257)(20, 229)(21, 259)(22, 230)(23, 263)(24, 231)(25, 265)(26, 268)(27, 269)(28, 233)(29, 271)(30, 234)(31, 275)(32, 236)(33, 277)(34, 237)(35, 279)(36, 282)(37, 283)(38, 240)(39, 285)(40, 241)(41, 287)(42, 242)(43, 291)(44, 244)(45, 293)(46, 245)(47, 295)(48, 298)(49, 299)(50, 248)(51, 301)(52, 249)(53, 303)(54, 250)(55, 307)(56, 252)(57, 309)(58, 254)(59, 311)(60, 255)(61, 313)(62, 315)(63, 316)(64, 258)(65, 317)(66, 260)(67, 318)(68, 261)(69, 319)(70, 262)(71, 321)(72, 264)(73, 323)(74, 266)(75, 325)(76, 267)(77, 326)(78, 312)(79, 328)(80, 270)(81, 329)(82, 272)(83, 320)(84, 273)(85, 330)(86, 274)(87, 289)(88, 276)(89, 288)(90, 278)(91, 286)(92, 280)(93, 284)(94, 281)(95, 296)(96, 310)(97, 308)(98, 306)(99, 314)(100, 290)(101, 305)(102, 292)(103, 304)(104, 294)(105, 302)(106, 300)(107, 297)(108, 324)(109, 322)(110, 327)(111, 331)(112, 332)(113, 333)(114, 334)(115, 335)(116, 336)(117, 337)(118, 338)(119, 339)(120, 340)(121, 341)(122, 342)(123, 343)(124, 344)(125, 345)(126, 346)(127, 347)(128, 348)(129, 349)(130, 350)(131, 351)(132, 352)(133, 353)(134, 354)(135, 355)(136, 356)(137, 357)(138, 358)(139, 359)(140, 360)(141, 361)(142, 362)(143, 363)(144, 364)(145, 365)(146, 366)(147, 367)(148, 368)(149, 369)(150, 370)(151, 371)(152, 372)(153, 373)(154, 374)(155, 375)(156, 376)(157, 377)(158, 378)(159, 379)(160, 380)(161, 381)(162, 382)(163, 383)(164, 384)(165, 385)(166, 386)(167, 387)(168, 388)(169, 389)(170, 390)(171, 391)(172, 392)(173, 393)(174, 394)(175, 395)(176, 396)(177, 397)(178, 398)(179, 399)(180, 400)(181, 401)(182, 402)(183, 403)(184, 404)(185, 405)(186, 406)(187, 407)(188, 408)(189, 409)(190, 410)(191, 411)(192, 412)(193, 413)(194, 414)(195, 415)(196, 416)(197, 417)(198, 418)(199, 419)(200, 420)(201, 421)(202, 422)(203, 423)(204, 424)(205, 425)(206, 426)(207, 427)(208, 428)(209, 429)(210, 430)(211, 431)(212, 432)(213, 433)(214, 434)(215, 435)(216, 436)(217, 437)(218, 438)(219, 439)(220, 440)
	local type(s) :: { ( 20, 110 ), ( 20, 110, 20, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1503
Graph:: simple bipartite
	v = 165 e = 220 f = 13
	degree seq :: [ 2^110, 4^55 ]

E22.1505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 55})
Quotient :: dipole
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|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 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-5)^2, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3, Y1 * Y3 * Y1^-8 * Y3 * Y1^2 ]
Map::
	R = (1, 111, 2, 112, 5, 115, 11, 121, 23, 133, 43, 153, 71, 181, 89, 199, 56, 166, 84, 194, 105, 215, 93, 203, 60, 170, 35, 145, 53, 163, 81, 191, 104, 214, 110, 220, 91, 201, 58, 168, 33, 143, 16, 126, 28, 138, 48, 158, 76, 186, 101, 211, 95, 205, 107, 217, 108, 218, 88, 198, 106, 216, 92, 202, 59, 169, 34, 144, 17, 127, 29, 139, 49, 159, 77, 187, 102, 212, 109, 219, 90, 200, 57, 167, 32, 142, 52, 162, 80, 190, 103, 213, 94, 204, 61, 171, 85, 195, 100, 210, 70, 180, 42, 152, 22, 132, 10, 120, 4, 114)(3, 113, 7, 117, 15, 125, 31, 141, 55, 165, 87, 197, 78, 188, 46, 156, 24, 134, 45, 155, 75, 185, 66, 176, 40, 150, 21, 131, 39, 149, 65, 175, 97, 207, 86, 196, 54, 164, 30, 140, 14, 124, 6, 116, 13, 123, 27, 137, 51, 161, 83, 193, 69, 179, 99, 209, 74, 184, 44, 154, 73, 183, 64, 174, 38, 148, 20, 130, 9, 119, 19, 129, 37, 147, 63, 173, 96, 206, 82, 192, 50, 160, 26, 136, 12, 122, 25, 135, 47, 157, 79, 189, 68, 178, 41, 151, 67, 177, 98, 208, 72, 182, 62, 172, 36, 146, 18, 128, 8, 118)(221, 331)(222, 332)(223, 333)(224, 334)(225, 335)(226, 336)(227, 337)(228, 338)(229, 339)(230, 340)(231, 341)(232, 342)(233, 343)(234, 344)(235, 345)(236, 346)(237, 347)(238, 348)(239, 349)(240, 350)(241, 351)(242, 352)(243, 353)(244, 354)(245, 355)(246, 356)(247, 357)(248, 358)(249, 359)(250, 360)(251, 361)(252, 362)(253, 363)(254, 364)(255, 365)(256, 366)(257, 367)(258, 368)(259, 369)(260, 370)(261, 371)(262, 372)(263, 373)(264, 374)(265, 375)(266, 376)(267, 377)(268, 378)(269, 379)(270, 380)(271, 381)(272, 382)(273, 383)(274, 384)(275, 385)(276, 386)(277, 387)(278, 388)(279, 389)(280, 390)(281, 391)(282, 392)(283, 393)(284, 394)(285, 395)(286, 396)(287, 397)(288, 398)(289, 399)(290, 400)(291, 401)(292, 402)(293, 403)(294, 404)(295, 405)(296, 406)(297, 407)(298, 408)(299, 409)(300, 410)(301, 411)(302, 412)(303, 413)(304, 414)(305, 415)(306, 416)(307, 417)(308, 418)(309, 419)(310, 420)(311, 421)(312, 422)(313, 423)(314, 424)(315, 425)(316, 426)(317, 427)(318, 428)(319, 429)(320, 430)(321, 431)(322, 432)(323, 433)(324, 434)(325, 435)(326, 436)(327, 437)(328, 438)(329, 439)(330, 440)
	L = (1, 223)(2, 226)(3, 221)(4, 229)(5, 232)(6, 222)(7, 236)(8, 237)(9, 224)(10, 241)(11, 244)(12, 225)(13, 248)(14, 249)(15, 252)(16, 227)(17, 228)(18, 255)(19, 253)(20, 254)(21, 230)(22, 261)(23, 264)(24, 231)(25, 268)(26, 269)(27, 272)(28, 233)(29, 234)(30, 273)(31, 276)(32, 235)(33, 239)(34, 240)(35, 238)(36, 281)(37, 277)(38, 280)(39, 278)(40, 279)(41, 242)(42, 289)(43, 292)(44, 243)(45, 296)(46, 297)(47, 300)(48, 245)(49, 246)(50, 301)(51, 304)(52, 247)(53, 250)(54, 305)(55, 308)(56, 251)(57, 257)(58, 259)(59, 260)(60, 258)(61, 256)(62, 315)(63, 309)(64, 314)(65, 310)(66, 313)(67, 311)(68, 312)(69, 262)(70, 307)(71, 317)(72, 263)(73, 321)(74, 322)(75, 323)(76, 265)(77, 266)(78, 324)(79, 325)(80, 267)(81, 270)(82, 320)(83, 326)(84, 271)(85, 274)(86, 327)(87, 290)(88, 275)(89, 283)(90, 285)(91, 287)(92, 288)(93, 286)(94, 284)(95, 282)(96, 328)(97, 291)(98, 329)(99, 330)(100, 302)(101, 293)(102, 294)(103, 295)(104, 298)(105, 299)(106, 303)(107, 306)(108, 316)(109, 318)(110, 319)(111, 331)(112, 332)(113, 333)(114, 334)(115, 335)(116, 336)(117, 337)(118, 338)(119, 339)(120, 340)(121, 341)(122, 342)(123, 343)(124, 344)(125, 345)(126, 346)(127, 347)(128, 348)(129, 349)(130, 350)(131, 351)(132, 352)(133, 353)(134, 354)(135, 355)(136, 356)(137, 357)(138, 358)(139, 359)(140, 360)(141, 361)(142, 362)(143, 363)(144, 364)(145, 365)(146, 366)(147, 367)(148, 368)(149, 369)(150, 370)(151, 371)(152, 372)(153, 373)(154, 374)(155, 375)(156, 376)(157, 377)(158, 378)(159, 379)(160, 380)(161, 381)(162, 382)(163, 383)(164, 384)(165, 385)(166, 386)(167, 387)(168, 388)(169, 389)(170, 390)(171, 391)(172, 392)(173, 393)(174, 394)(175, 395)(176, 396)(177, 397)(178, 398)(179, 399)(180, 400)(181, 401)(182, 402)(183, 403)(184, 404)(185, 405)(186, 406)(187, 407)(188, 408)(189, 409)(190, 410)(191, 411)(192, 412)(193, 413)(194, 414)(195, 415)(196, 416)(197, 417)(198, 418)(199, 419)(200, 420)(201, 421)(202, 422)(203, 423)(204, 424)(205, 425)(206, 426)(207, 427)(208, 428)(209, 429)(210, 430)(211, 431)(212, 432)(213, 433)(214, 434)(215, 435)(216, 436)(217, 437)(218, 438)(219, 439)(220, 440)
	local type(s) :: { ( 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1502
Graph:: simple bipartite
	v = 112 e = 220 f = 66
	degree seq :: [ 2^110, 110^2 ]

E22.1506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 55})
Quotient :: dipole
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|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, (R * Y2^3 * Y1)^2, (Y2^-2 * Y1 * Y2^-3)^2, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2^7 * Y1 * Y2^-3 * Y1 * Y2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 111, 2, 112)(3, 113, 7, 117)(4, 114, 9, 119)(5, 115, 11, 121)(6, 116, 13, 123)(8, 118, 17, 127)(10, 120, 21, 131)(12, 122, 25, 135)(14, 124, 29, 139)(15, 125, 23, 133)(16, 126, 27, 137)(18, 128, 35, 145)(19, 129, 24, 134)(20, 130, 28, 138)(22, 132, 41, 151)(26, 136, 47, 157)(30, 140, 53, 163)(31, 141, 45, 155)(32, 142, 51, 161)(33, 143, 43, 153)(34, 144, 49, 159)(36, 146, 61, 171)(37, 147, 46, 156)(38, 148, 52, 162)(39, 149, 44, 154)(40, 150, 50, 160)(42, 152, 69, 179)(48, 158, 77, 187)(54, 164, 85, 195)(55, 165, 75, 185)(56, 166, 83, 193)(57, 167, 73, 183)(58, 168, 81, 191)(59, 169, 71, 181)(60, 170, 79, 189)(62, 172, 86, 196)(63, 173, 76, 186)(64, 174, 84, 194)(65, 175, 74, 184)(66, 176, 82, 192)(67, 177, 72, 182)(68, 178, 80, 190)(70, 180, 78, 188)(87, 197, 106, 216)(88, 198, 110, 220)(89, 199, 105, 215)(90, 200, 100, 210)(91, 201, 103, 213)(92, 202, 109, 219)(93, 203, 101, 211)(94, 204, 108, 218)(95, 205, 97, 207)(96, 206, 107, 217)(98, 208, 104, 214)(99, 209, 102, 212)(221, 331, 223, 333, 228, 338, 238, 348, 256, 366, 282, 392, 315, 425, 296, 406, 267, 377, 295, 405, 325, 435, 302, 412, 272, 382, 249, 359, 271, 381, 301, 411, 329, 439, 322, 432, 292, 402, 264, 374, 244, 354, 231, 341, 243, 353, 263, 373, 291, 401, 321, 431, 305, 415, 330, 440, 327, 437, 297, 407, 326, 436, 300, 410, 270, 380, 248, 358, 233, 343, 247, 357, 269, 379, 299, 409, 328, 438, 324, 434, 294, 404, 266, 376, 245, 355, 265, 375, 293, 403, 323, 433, 304, 414, 273, 383, 303, 413, 320, 430, 290, 400, 262, 372, 242, 352, 230, 340, 224, 334)(222, 332, 225, 335, 232, 342, 246, 356, 268, 378, 298, 408, 312, 422, 280, 390, 255, 365, 279, 389, 311, 421, 286, 396, 260, 370, 241, 351, 259, 369, 285, 395, 317, 427, 308, 418, 276, 386, 252, 362, 236, 346, 227, 337, 235, 345, 251, 361, 275, 385, 307, 417, 289, 399, 319, 429, 314, 424, 281, 391, 313, 423, 284, 394, 258, 368, 240, 350, 229, 339, 239, 349, 257, 367, 283, 393, 316, 426, 310, 420, 278, 388, 254, 364, 237, 347, 253, 363, 277, 387, 309, 419, 288, 398, 261, 371, 287, 397, 318, 428, 306, 416, 274, 384, 250, 360, 234, 344, 226, 336)
	L = (1, 222)(2, 221)(3, 227)(4, 229)(5, 231)(6, 233)(7, 223)(8, 237)(9, 224)(10, 241)(11, 225)(12, 245)(13, 226)(14, 249)(15, 243)(16, 247)(17, 228)(18, 255)(19, 244)(20, 248)(21, 230)(22, 261)(23, 235)(24, 239)(25, 232)(26, 267)(27, 236)(28, 240)(29, 234)(30, 273)(31, 265)(32, 271)(33, 263)(34, 269)(35, 238)(36, 281)(37, 266)(38, 272)(39, 264)(40, 270)(41, 242)(42, 289)(43, 253)(44, 259)(45, 251)(46, 257)(47, 246)(48, 297)(49, 254)(50, 260)(51, 252)(52, 258)(53, 250)(54, 305)(55, 295)(56, 303)(57, 293)(58, 301)(59, 291)(60, 299)(61, 256)(62, 306)(63, 296)(64, 304)(65, 294)(66, 302)(67, 292)(68, 300)(69, 262)(70, 298)(71, 279)(72, 287)(73, 277)(74, 285)(75, 275)(76, 283)(77, 268)(78, 290)(79, 280)(80, 288)(81, 278)(82, 286)(83, 276)(84, 284)(85, 274)(86, 282)(87, 326)(88, 330)(89, 325)(90, 320)(91, 323)(92, 329)(93, 321)(94, 328)(95, 317)(96, 327)(97, 315)(98, 324)(99, 322)(100, 310)(101, 313)(102, 319)(103, 311)(104, 318)(105, 309)(106, 307)(107, 316)(108, 314)(109, 312)(110, 308)(111, 331)(112, 332)(113, 333)(114, 334)(115, 335)(116, 336)(117, 337)(118, 338)(119, 339)(120, 340)(121, 341)(122, 342)(123, 343)(124, 344)(125, 345)(126, 346)(127, 347)(128, 348)(129, 349)(130, 350)(131, 351)(132, 352)(133, 353)(134, 354)(135, 355)(136, 356)(137, 357)(138, 358)(139, 359)(140, 360)(141, 361)(142, 362)(143, 363)(144, 364)(145, 365)(146, 366)(147, 367)(148, 368)(149, 369)(150, 370)(151, 371)(152, 372)(153, 373)(154, 374)(155, 375)(156, 376)(157, 377)(158, 378)(159, 379)(160, 380)(161, 381)(162, 382)(163, 383)(164, 384)(165, 385)(166, 386)(167, 387)(168, 388)(169, 389)(170, 390)(171, 391)(172, 392)(173, 393)(174, 394)(175, 395)(176, 396)(177, 397)(178, 398)(179, 399)(180, 400)(181, 401)(182, 402)(183, 403)(184, 404)(185, 405)(186, 406)(187, 407)(188, 408)(189, 409)(190, 410)(191, 411)(192, 412)(193, 413)(194, 414)(195, 415)(196, 416)(197, 417)(198, 418)(199, 419)(200, 420)(201, 421)(202, 422)(203, 423)(204, 424)(205, 425)(206, 426)(207, 427)(208, 428)(209, 429)(210, 430)(211, 431)(212, 432)(213, 433)(214, 434)(215, 435)(216, 436)(217, 437)(218, 438)(219, 439)(220, 440)
	local type(s) :: { ( 2, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E22.1507
Graph:: bipartite
	v = 57 e = 220 f = 121
	degree seq :: [ 4^55, 110^2 ]

E22.1507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 10, 55})
Quotient :: dipole
Aut^+ = C5 x D22 (small group id <110, 4>)
Aut   = D10 x D22 (small group id <220, 11>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3^2 * Y1^-2 * Y3^-2 * Y1, (Y3^4 * Y1^-1)^2, Y1^10, Y3^-1 * Y1^-1 * Y3^7 * Y1^-1 * Y3^-3, (Y3 * Y2^-1)^55 ]
Map::
	R = (1, 111, 2, 112, 6, 116, 16, 126, 34, 144, 60, 170, 53, 163, 27, 137, 13, 123, 4, 114)(3, 113, 9, 119, 17, 127, 8, 118, 21, 131, 35, 145, 62, 172, 50, 160, 28, 138, 11, 121)(5, 115, 14, 124, 18, 128, 37, 147, 61, 171, 52, 162, 30, 140, 12, 122, 20, 130, 7, 117)(10, 120, 24, 134, 36, 146, 23, 133, 42, 152, 22, 132, 43, 153, 63, 173, 51, 161, 26, 136)(15, 125, 32, 142, 38, 148, 65, 175, 55, 165, 29, 139, 41, 151, 19, 129, 39, 149, 31, 141)(25, 135, 47, 157, 64, 174, 46, 156, 71, 181, 45, 155, 72, 182, 44, 154, 73, 183, 49, 159)(33, 143, 58, 168, 66, 176, 54, 164, 70, 180, 40, 150, 68, 178, 56, 166, 67, 177, 57, 167)(48, 158, 78, 188, 85, 195, 77, 187, 91, 201, 76, 186, 92, 202, 75, 185, 93, 203, 74, 184)(59, 169, 80, 190, 86, 196, 69, 179, 89, 199, 81, 191, 88, 198, 82, 192, 87, 197, 83, 193)(79, 189, 94, 204, 105, 215, 98, 208, 109, 219, 97, 207, 104, 214, 96, 206, 110, 220, 95, 205)(84, 194, 90, 200, 106, 216, 101, 211, 99, 209, 102, 212, 108, 218, 103, 213, 107, 217, 100, 210)(221, 331)(222, 332)(223, 333)(224, 334)(225, 335)(226, 336)(227, 337)(228, 338)(229, 339)(230, 340)(231, 341)(232, 342)(233, 343)(234, 344)(235, 345)(236, 346)(237, 347)(238, 348)(239, 349)(240, 350)(241, 351)(242, 352)(243, 353)(244, 354)(245, 355)(246, 356)(247, 357)(248, 358)(249, 359)(250, 360)(251, 361)(252, 362)(253, 363)(254, 364)(255, 365)(256, 366)(257, 367)(258, 368)(259, 369)(260, 370)(261, 371)(262, 372)(263, 373)(264, 374)(265, 375)(266, 376)(267, 377)(268, 378)(269, 379)(270, 380)(271, 381)(272, 382)(273, 383)(274, 384)(275, 385)(276, 386)(277, 387)(278, 388)(279, 389)(280, 390)(281, 391)(282, 392)(283, 393)(284, 394)(285, 395)(286, 396)(287, 397)(288, 398)(289, 399)(290, 400)(291, 401)(292, 402)(293, 403)(294, 404)(295, 405)(296, 406)(297, 407)(298, 408)(299, 409)(300, 410)(301, 411)(302, 412)(303, 413)(304, 414)(305, 415)(306, 416)(307, 417)(308, 418)(309, 419)(310, 420)(311, 421)(312, 422)(313, 423)(314, 424)(315, 425)(316, 426)(317, 427)(318, 428)(319, 429)(320, 430)(321, 431)(322, 432)(323, 433)(324, 434)(325, 435)(326, 436)(327, 437)(328, 438)(329, 439)(330, 440)
	L = (1, 223)(2, 227)(3, 230)(4, 232)(5, 221)(6, 237)(7, 239)(8, 222)(9, 224)(10, 245)(11, 247)(12, 249)(13, 248)(14, 251)(15, 225)(16, 234)(17, 256)(18, 226)(19, 260)(20, 233)(21, 262)(22, 228)(23, 229)(24, 231)(25, 268)(26, 270)(27, 272)(28, 271)(29, 274)(30, 273)(31, 276)(32, 277)(33, 235)(34, 241)(35, 236)(36, 284)(37, 252)(38, 238)(39, 240)(40, 289)(41, 250)(42, 291)(43, 292)(44, 242)(45, 243)(46, 244)(47, 246)(48, 299)(49, 283)(50, 280)(51, 293)(52, 285)(53, 282)(54, 300)(55, 281)(56, 301)(57, 302)(58, 303)(59, 253)(60, 257)(61, 254)(62, 263)(63, 255)(64, 305)(65, 278)(66, 258)(67, 259)(68, 261)(69, 310)(70, 275)(71, 311)(72, 312)(73, 313)(74, 264)(75, 265)(76, 266)(77, 267)(78, 269)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 279)(85, 325)(86, 286)(87, 287)(88, 288)(89, 290)(90, 317)(91, 329)(92, 324)(93, 330)(94, 294)(95, 295)(96, 296)(97, 297)(98, 298)(99, 309)(100, 318)(101, 316)(102, 315)(103, 314)(104, 304)(105, 328)(106, 306)(107, 307)(108, 308)(109, 327)(110, 326)(111, 331)(112, 332)(113, 333)(114, 334)(115, 335)(116, 336)(117, 337)(118, 338)(119, 339)(120, 340)(121, 341)(122, 342)(123, 343)(124, 344)(125, 345)(126, 346)(127, 347)(128, 348)(129, 349)(130, 350)(131, 351)(132, 352)(133, 353)(134, 354)(135, 355)(136, 356)(137, 357)(138, 358)(139, 359)(140, 360)(141, 361)(142, 362)(143, 363)(144, 364)(145, 365)(146, 366)(147, 367)(148, 368)(149, 369)(150, 370)(151, 371)(152, 372)(153, 373)(154, 374)(155, 375)(156, 376)(157, 377)(158, 378)(159, 379)(160, 380)(161, 381)(162, 382)(163, 383)(164, 384)(165, 385)(166, 386)(167, 387)(168, 388)(169, 389)(170, 390)(171, 391)(172, 392)(173, 393)(174, 394)(175, 395)(176, 396)(177, 397)(178, 398)(179, 399)(180, 400)(181, 401)(182, 402)(183, 403)(184, 404)(185, 405)(186, 406)(187, 407)(188, 408)(189, 409)(190, 410)(191, 411)(192, 412)(193, 413)(194, 414)(195, 415)(196, 416)(197, 417)(198, 418)(199, 419)(200, 420)(201, 421)(202, 422)(203, 423)(204, 424)(205, 425)(206, 426)(207, 427)(208, 428)(209, 429)(210, 430)(211, 431)(212, 432)(213, 433)(214, 434)(215, 435)(216, 436)(217, 437)(218, 438)(219, 439)(220, 440)
	local type(s) :: { ( 4, 110 ), ( 4, 110, 4, 110, 4, 110, 4, 110, 4, 110, 4, 110, 4, 110, 4, 110, 4, 110, 4, 110 ) }
Outer automorphisms :: reflexible
Dual of E22.1506
Graph:: simple bipartite
	v = 121 e = 220 f = 57
	degree seq :: [ 2^110, 20^11 ]

E22.1508 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, (F * T2)^2, T2^5, T1 * T2^-1 * T1^2 * T2 * T1, (T1 * T2^2)^3, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T2^2 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 16, 5)(2, 7, 20, 24, 8)(4, 12, 31, 32, 13)(6, 17, 39, 40, 18)(9, 25, 54, 58, 26)(11, 29, 63, 64, 30)(14, 33, 66, 70, 34)(15, 35, 71, 72, 36)(19, 41, 78, 82, 42)(21, 45, 85, 86, 46)(22, 47, 88, 92, 48)(23, 49, 93, 94, 50)(27, 59, 51, 95, 60)(28, 61, 52, 96, 62)(37, 73, 84, 44, 74)(38, 75, 83, 43, 76)(53, 91, 120, 110, 97)(55, 90, 119, 109, 98)(56, 99, 67, 106, 100)(57, 101, 65, 105, 102)(68, 107, 104, 111, 77)(69, 108, 103, 112, 79)(80, 113, 89, 118, 114)(81, 115, 87, 117, 116)(121, 122, 126, 124)(123, 129, 137, 131)(125, 134, 138, 135)(127, 139, 132, 141)(128, 142, 133, 143)(130, 147, 159, 148)(136, 157, 160, 158)(140, 163, 151, 164)(144, 171, 152, 172)(145, 173, 149, 175)(146, 176, 150, 177)(153, 185, 155, 187)(154, 188, 156, 189)(161, 197, 165, 199)(162, 200, 166, 201)(167, 207, 169, 209)(168, 210, 170, 211)(174, 192, 183, 190)(178, 204, 184, 203)(179, 223, 181, 224)(180, 206, 182, 202)(186, 216, 191, 215)(193, 213, 195, 208)(194, 229, 196, 230)(198, 214, 205, 212)(217, 234, 218, 236)(219, 235, 221, 233)(220, 231, 222, 232)(225, 239, 226, 240)(227, 237, 228, 238)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 10^4 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E22.1509
Transitivity :: ET+
Graph:: simple bipartite
	v = 54 e = 120 f = 24
	degree seq :: [ 4^30, 5^24 ]

E22.1509 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, (F * T2)^2, T2^5, T1 * T2^-1 * T1^2 * T2 * T1, (T1 * T2^2)^3, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1, T2^2 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T2^2 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123, 10, 130, 16, 136, 5, 125)(2, 122, 7, 127, 20, 140, 24, 144, 8, 128)(4, 124, 12, 132, 31, 151, 32, 152, 13, 133)(6, 126, 17, 137, 39, 159, 40, 160, 18, 138)(9, 129, 25, 145, 54, 174, 58, 178, 26, 146)(11, 131, 29, 149, 63, 183, 64, 184, 30, 150)(14, 134, 33, 153, 66, 186, 70, 190, 34, 154)(15, 135, 35, 155, 71, 191, 72, 192, 36, 156)(19, 139, 41, 161, 78, 198, 82, 202, 42, 162)(21, 141, 45, 165, 85, 205, 86, 206, 46, 166)(22, 142, 47, 167, 88, 208, 92, 212, 48, 168)(23, 143, 49, 169, 93, 213, 94, 214, 50, 170)(27, 147, 59, 179, 51, 171, 95, 215, 60, 180)(28, 148, 61, 181, 52, 172, 96, 216, 62, 182)(37, 157, 73, 193, 84, 204, 44, 164, 74, 194)(38, 158, 75, 195, 83, 203, 43, 163, 76, 196)(53, 173, 91, 211, 120, 240, 110, 230, 97, 217)(55, 175, 90, 210, 119, 239, 109, 229, 98, 218)(56, 176, 99, 219, 67, 187, 106, 226, 100, 220)(57, 177, 101, 221, 65, 185, 105, 225, 102, 222)(68, 188, 107, 227, 104, 224, 111, 231, 77, 197)(69, 189, 108, 228, 103, 223, 112, 232, 79, 199)(80, 200, 113, 233, 89, 209, 118, 238, 114, 234)(81, 201, 115, 235, 87, 207, 117, 237, 116, 236)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 124)(7, 139)(8, 142)(9, 137)(10, 147)(11, 123)(12, 141)(13, 143)(14, 138)(15, 125)(16, 157)(17, 131)(18, 135)(19, 132)(20, 163)(21, 127)(22, 133)(23, 128)(24, 171)(25, 173)(26, 176)(27, 159)(28, 130)(29, 175)(30, 177)(31, 164)(32, 172)(33, 185)(34, 188)(35, 187)(36, 189)(37, 160)(38, 136)(39, 148)(40, 158)(41, 197)(42, 200)(43, 151)(44, 140)(45, 199)(46, 201)(47, 207)(48, 210)(49, 209)(50, 211)(51, 152)(52, 144)(53, 149)(54, 192)(55, 145)(56, 150)(57, 146)(58, 204)(59, 223)(60, 206)(61, 224)(62, 202)(63, 190)(64, 203)(65, 155)(66, 216)(67, 153)(68, 156)(69, 154)(70, 174)(71, 215)(72, 183)(73, 213)(74, 229)(75, 208)(76, 230)(77, 165)(78, 214)(79, 161)(80, 166)(81, 162)(82, 180)(83, 178)(84, 184)(85, 212)(86, 182)(87, 169)(88, 193)(89, 167)(90, 170)(91, 168)(92, 198)(93, 195)(94, 205)(95, 186)(96, 191)(97, 234)(98, 236)(99, 235)(100, 231)(101, 233)(102, 232)(103, 181)(104, 179)(105, 239)(106, 240)(107, 237)(108, 238)(109, 196)(110, 194)(111, 222)(112, 220)(113, 219)(114, 218)(115, 221)(116, 217)(117, 228)(118, 227)(119, 226)(120, 225)
	local type(s) :: { ( 4, 5, 4, 5, 4, 5, 4, 5, 4, 5 ) }
Outer automorphisms :: reflexible
Dual of E22.1508
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 120 f = 54
	degree seq :: [ 10^24 ]

E22.1510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y1, Y3 * Y1, (R * Y3)^2, Y1^3 * Y3^-1, (R * Y1)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y1 * Y2^2 * Y1 * Y2^2 * Y3^-1 * Y2^2, (Y3 * Y2^-1)^5, Y2^2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 4, 124)(3, 123, 9, 129, 17, 137, 11, 131)(5, 125, 14, 134, 18, 138, 15, 135)(7, 127, 19, 139, 12, 132, 21, 141)(8, 128, 22, 142, 13, 133, 23, 143)(10, 130, 27, 147, 39, 159, 28, 148)(16, 136, 37, 157, 40, 160, 38, 158)(20, 140, 43, 163, 31, 151, 44, 164)(24, 144, 51, 171, 32, 152, 52, 172)(25, 145, 53, 173, 29, 149, 55, 175)(26, 146, 56, 176, 30, 150, 57, 177)(33, 153, 65, 185, 35, 155, 67, 187)(34, 154, 68, 188, 36, 156, 69, 189)(41, 161, 77, 197, 45, 165, 79, 199)(42, 162, 80, 200, 46, 166, 81, 201)(47, 167, 87, 207, 49, 169, 89, 209)(48, 168, 90, 210, 50, 170, 91, 211)(54, 174, 72, 192, 63, 183, 70, 190)(58, 178, 84, 204, 64, 184, 83, 203)(59, 179, 103, 223, 61, 181, 104, 224)(60, 180, 86, 206, 62, 182, 82, 202)(66, 186, 96, 216, 71, 191, 95, 215)(73, 193, 93, 213, 75, 195, 88, 208)(74, 194, 109, 229, 76, 196, 110, 230)(78, 198, 94, 214, 85, 205, 92, 212)(97, 217, 114, 234, 98, 218, 116, 236)(99, 219, 115, 235, 101, 221, 113, 233)(100, 220, 111, 231, 102, 222, 112, 232)(105, 225, 119, 239, 106, 226, 120, 240)(107, 227, 117, 237, 108, 228, 118, 238)(241, 361, 243, 363, 250, 370, 256, 376, 245, 365)(242, 362, 247, 367, 260, 380, 264, 384, 248, 368)(244, 364, 252, 372, 271, 391, 272, 392, 253, 373)(246, 366, 257, 377, 279, 399, 280, 400, 258, 378)(249, 369, 265, 385, 294, 414, 298, 418, 266, 386)(251, 371, 269, 389, 303, 423, 304, 424, 270, 390)(254, 374, 273, 393, 306, 426, 310, 430, 274, 394)(255, 375, 275, 395, 311, 431, 312, 432, 276, 396)(259, 379, 281, 401, 318, 438, 322, 442, 282, 402)(261, 381, 285, 405, 325, 445, 326, 446, 286, 406)(262, 382, 287, 407, 328, 448, 332, 452, 288, 408)(263, 383, 289, 409, 333, 453, 334, 454, 290, 410)(267, 387, 299, 419, 291, 411, 335, 455, 300, 420)(268, 388, 301, 421, 292, 412, 336, 456, 302, 422)(277, 397, 313, 433, 324, 444, 284, 404, 314, 434)(278, 398, 315, 435, 323, 443, 283, 403, 316, 436)(293, 413, 331, 451, 360, 480, 350, 470, 337, 457)(295, 415, 330, 450, 359, 479, 349, 469, 338, 458)(296, 416, 339, 459, 307, 427, 346, 466, 340, 460)(297, 417, 341, 461, 305, 425, 345, 465, 342, 462)(308, 428, 347, 467, 344, 464, 351, 471, 317, 437)(309, 429, 348, 468, 343, 463, 352, 472, 319, 439)(320, 440, 353, 473, 329, 449, 358, 478, 354, 474)(321, 441, 355, 475, 327, 447, 357, 477, 356, 476)
	L = (1, 244)(2, 241)(3, 251)(4, 246)(5, 255)(6, 242)(7, 261)(8, 263)(9, 243)(10, 268)(11, 257)(12, 259)(13, 262)(14, 245)(15, 258)(16, 278)(17, 249)(18, 254)(19, 247)(20, 284)(21, 252)(22, 248)(23, 253)(24, 292)(25, 295)(26, 297)(27, 250)(28, 279)(29, 293)(30, 296)(31, 283)(32, 291)(33, 307)(34, 309)(35, 305)(36, 308)(37, 256)(38, 280)(39, 267)(40, 277)(41, 319)(42, 321)(43, 260)(44, 271)(45, 317)(46, 320)(47, 329)(48, 331)(49, 327)(50, 330)(51, 264)(52, 272)(53, 265)(54, 310)(55, 269)(56, 266)(57, 270)(58, 323)(59, 344)(60, 322)(61, 343)(62, 326)(63, 312)(64, 324)(65, 273)(66, 335)(67, 275)(68, 274)(69, 276)(70, 303)(71, 336)(72, 294)(73, 328)(74, 350)(75, 333)(76, 349)(77, 281)(78, 332)(79, 285)(80, 282)(81, 286)(82, 302)(83, 304)(84, 298)(85, 334)(86, 300)(87, 287)(88, 315)(89, 289)(90, 288)(91, 290)(92, 325)(93, 313)(94, 318)(95, 311)(96, 306)(97, 356)(98, 354)(99, 353)(100, 352)(101, 355)(102, 351)(103, 299)(104, 301)(105, 360)(106, 359)(107, 358)(108, 357)(109, 314)(110, 316)(111, 340)(112, 342)(113, 341)(114, 337)(115, 339)(116, 338)(117, 347)(118, 348)(119, 345)(120, 346)(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, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1511
Graph:: bipartite
	v = 54 e = 240 f = 144
	degree seq :: [ 8^30, 10^24 ]

E22.1511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, (Y3 * Y2^-1)^4, (Y3 * Y1^2)^3, Y3^-1 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 13, 133, 4, 124)(3, 123, 9, 129, 24, 144, 29, 149, 11, 131)(5, 125, 15, 135, 37, 157, 38, 158, 16, 136)(7, 127, 19, 139, 44, 164, 48, 168, 21, 141)(8, 128, 22, 142, 50, 170, 51, 171, 23, 143)(10, 130, 20, 140, 40, 160, 58, 178, 27, 147)(12, 132, 31, 151, 65, 185, 69, 189, 32, 152)(14, 134, 35, 155, 75, 195, 76, 196, 36, 156)(17, 137, 39, 159, 61, 181, 80, 200, 41, 161)(18, 138, 42, 162, 62, 182, 82, 202, 43, 163)(25, 145, 54, 174, 93, 213, 81, 201, 55, 175)(26, 146, 56, 176, 98, 218, 79, 199, 57, 177)(28, 148, 59, 179, 99, 219, 102, 222, 60, 180)(30, 150, 63, 183, 103, 223, 104, 224, 64, 184)(33, 153, 71, 191, 89, 209, 53, 173, 72, 192)(34, 154, 73, 193, 90, 210, 52, 172, 74, 194)(45, 165, 83, 203, 113, 233, 110, 230, 84, 204)(46, 166, 85, 205, 116, 236, 109, 229, 86, 206)(47, 167, 87, 207, 67, 187, 106, 226, 88, 208)(49, 169, 91, 211, 66, 186, 105, 225, 92, 212)(68, 188, 107, 227, 78, 198, 112, 232, 94, 214)(70, 190, 108, 228, 77, 197, 111, 231, 95, 215)(96, 216, 118, 238, 101, 221, 120, 240, 114, 234)(97, 217, 117, 237, 100, 220, 119, 239, 115, 235)(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, 260)(8, 242)(9, 265)(10, 245)(11, 268)(12, 267)(13, 273)(14, 244)(15, 266)(16, 270)(17, 280)(18, 246)(19, 285)(20, 248)(21, 287)(22, 286)(23, 289)(24, 292)(25, 255)(26, 249)(27, 254)(28, 256)(29, 301)(30, 251)(31, 306)(32, 308)(33, 298)(34, 253)(35, 307)(36, 310)(37, 293)(38, 302)(39, 317)(40, 258)(41, 319)(42, 318)(43, 321)(44, 316)(45, 262)(46, 259)(47, 263)(48, 329)(49, 261)(50, 309)(51, 330)(52, 277)(53, 264)(54, 334)(55, 336)(56, 335)(57, 337)(58, 274)(59, 340)(60, 325)(61, 278)(62, 269)(63, 341)(64, 323)(65, 322)(66, 275)(67, 271)(68, 276)(69, 284)(70, 272)(71, 343)(72, 349)(73, 339)(74, 350)(75, 320)(76, 290)(77, 282)(78, 279)(79, 283)(80, 305)(81, 281)(82, 315)(83, 300)(84, 354)(85, 304)(86, 355)(87, 357)(88, 352)(89, 291)(90, 288)(91, 358)(92, 351)(93, 344)(94, 296)(95, 294)(96, 297)(97, 295)(98, 342)(99, 311)(100, 303)(101, 299)(102, 333)(103, 313)(104, 338)(105, 356)(106, 353)(107, 359)(108, 360)(109, 314)(110, 312)(111, 328)(112, 332)(113, 345)(114, 326)(115, 324)(116, 346)(117, 331)(118, 327)(119, 348)(120, 347)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1510
Graph:: simple bipartite
	v = 144 e = 240 f = 54
	degree seq :: [ 2^120, 10^24 ]

E22.1512 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, (Y2^-1 * Y3 * Y1^-1)^2, (Y1 * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y2^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 127, 4, 130)(2, 128, 8, 134)(3, 129, 10, 136)(5, 131, 16, 142)(6, 132, 18, 144)(7, 133, 19, 145)(9, 135, 24, 150)(11, 137, 29, 155)(12, 138, 31, 157)(13, 139, 33, 159)(14, 140, 35, 161)(15, 141, 36, 162)(17, 143, 30, 156)(20, 146, 41, 167)(21, 147, 42, 168)(22, 148, 43, 169)(23, 149, 44, 170)(25, 151, 45, 171)(26, 152, 46, 172)(27, 153, 47, 173)(28, 154, 48, 174)(32, 158, 53, 179)(34, 160, 58, 184)(37, 163, 63, 189)(38, 164, 64, 190)(39, 165, 65, 191)(40, 166, 66, 192)(49, 175, 91, 217)(50, 176, 92, 218)(51, 177, 93, 219)(52, 178, 94, 220)(54, 180, 95, 221)(55, 181, 96, 222)(56, 182, 97, 223)(57, 183, 98, 224)(59, 185, 99, 225)(60, 186, 100, 226)(61, 187, 101, 227)(62, 188, 102, 228)(67, 193, 103, 229)(68, 194, 104, 230)(69, 195, 105, 231)(70, 196, 106, 232)(71, 197, 107, 233)(72, 198, 108, 234)(73, 199, 109, 235)(74, 200, 110, 236)(75, 201, 111, 237)(76, 202, 112, 238)(77, 203, 113, 239)(78, 204, 114, 240)(79, 205, 115, 241)(80, 206, 116, 242)(81, 207, 117, 243)(82, 208, 118, 244)(83, 209, 119, 245)(84, 210, 120, 246)(85, 211, 121, 247)(86, 212, 122, 248)(87, 213, 123, 249)(88, 214, 124, 250)(89, 215, 125, 251)(90, 216, 126, 252)(253, 254, 257)(255, 259, 263)(256, 264, 266)(258, 261, 269)(260, 272, 274)(262, 277, 279)(265, 282, 286)(267, 284, 271)(268, 289, 278)(270, 291, 273)(275, 292, 281)(276, 280, 290)(283, 301, 303)(285, 306, 308)(287, 311, 307)(288, 313, 302)(293, 319, 321)(294, 323, 325)(295, 327, 324)(296, 329, 320)(297, 331, 333)(298, 335, 337)(299, 339, 336)(300, 341, 332)(304, 314, 310)(305, 309, 312)(315, 334, 342)(316, 338, 340)(317, 322, 330)(318, 326, 328)(343, 373, 359)(344, 357, 368)(345, 366, 369)(346, 376, 362)(347, 370, 360)(348, 374, 355)(349, 375, 358)(350, 377, 361)(351, 367, 364)(352, 371, 365)(353, 372, 363)(354, 356, 378)(379, 381, 384)(380, 385, 387)(382, 391, 393)(383, 389, 395)(386, 399, 401)(388, 404, 406)(390, 408, 410)(392, 412, 397)(394, 416, 403)(396, 418, 398)(400, 417, 407)(402, 405, 415)(409, 428, 430)(411, 433, 435)(413, 438, 432)(414, 440, 427)(419, 446, 448)(420, 450, 452)(421, 454, 449)(422, 456, 445)(423, 458, 460)(424, 462, 464)(425, 466, 461)(426, 468, 457)(429, 439, 436)(431, 434, 437)(441, 459, 467)(442, 463, 465)(443, 447, 455)(444, 451, 453)(469, 488, 498)(470, 495, 482)(471, 504, 483)(472, 489, 499)(473, 487, 493)(474, 484, 497)(475, 491, 500)(476, 490, 496)(477, 486, 503)(478, 481, 501)(479, 485, 502)(480, 494, 492)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1517
Graph:: simple bipartite
	v = 147 e = 252 f = 63
	degree seq :: [ 3^84, 4^63 ]

E22.1513 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y2 * Y3)^2, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3 * Y2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 127, 4, 130)(2, 128, 8, 134)(3, 129, 10, 136)(5, 131, 16, 142)(6, 132, 18, 144)(7, 133, 19, 145)(9, 135, 24, 150)(11, 137, 29, 155)(12, 138, 31, 157)(13, 139, 33, 159)(14, 140, 35, 161)(15, 141, 36, 162)(17, 143, 30, 156)(20, 146, 41, 167)(21, 147, 42, 168)(22, 148, 43, 169)(23, 149, 44, 170)(25, 151, 45, 171)(26, 152, 46, 172)(27, 153, 47, 173)(28, 154, 48, 174)(32, 158, 53, 179)(34, 160, 58, 184)(37, 163, 63, 189)(38, 164, 64, 190)(39, 165, 65, 191)(40, 166, 66, 192)(49, 175, 91, 217)(50, 176, 92, 218)(51, 177, 93, 219)(52, 178, 94, 220)(54, 180, 95, 221)(55, 181, 96, 222)(56, 182, 97, 223)(57, 183, 98, 224)(59, 185, 99, 225)(60, 186, 100, 226)(61, 187, 101, 227)(62, 188, 102, 228)(67, 193, 103, 229)(68, 194, 104, 230)(69, 195, 105, 231)(70, 196, 106, 232)(71, 197, 107, 233)(72, 198, 108, 234)(73, 199, 109, 235)(74, 200, 110, 236)(75, 201, 111, 237)(76, 202, 112, 238)(77, 203, 113, 239)(78, 204, 114, 240)(79, 205, 115, 241)(80, 206, 116, 242)(81, 207, 117, 243)(82, 208, 118, 244)(83, 209, 119, 245)(84, 210, 120, 246)(85, 211, 121, 247)(86, 212, 122, 248)(87, 213, 123, 249)(88, 214, 124, 250)(89, 215, 125, 251)(90, 216, 126, 252)(253, 254, 257)(255, 259, 263)(256, 264, 266)(258, 261, 269)(260, 272, 274)(262, 277, 279)(265, 282, 286)(267, 284, 271)(268, 289, 278)(270, 291, 273)(275, 292, 281)(276, 280, 290)(283, 301, 303)(285, 306, 308)(287, 311, 307)(288, 313, 302)(293, 319, 321)(294, 323, 325)(295, 327, 324)(296, 329, 320)(297, 331, 333)(298, 335, 337)(299, 339, 336)(300, 341, 332)(304, 314, 310)(305, 309, 312)(315, 334, 342)(316, 338, 340)(317, 322, 330)(318, 326, 328)(343, 373, 356)(344, 370, 360)(345, 377, 361)(346, 376, 357)(347, 362, 371)(348, 369, 355)(349, 378, 358)(350, 363, 374)(351, 359, 375)(352, 368, 365)(353, 372, 366)(354, 367, 364)(379, 381, 384)(380, 385, 387)(382, 391, 393)(383, 389, 395)(386, 399, 401)(388, 404, 406)(390, 408, 410)(392, 412, 397)(394, 416, 403)(396, 418, 398)(400, 417, 407)(402, 405, 415)(409, 428, 430)(411, 433, 435)(413, 438, 432)(414, 440, 427)(419, 446, 448)(420, 450, 452)(421, 454, 449)(422, 456, 445)(423, 458, 460)(424, 462, 464)(425, 466, 461)(426, 468, 457)(429, 439, 436)(431, 434, 437)(441, 459, 467)(442, 463, 465)(443, 447, 455)(444, 451, 453)(469, 483, 498)(470, 487, 493)(471, 490, 496)(472, 492, 499)(473, 500, 485)(474, 484, 494)(475, 491, 495)(476, 501, 488)(477, 497, 489)(478, 481, 504)(479, 482, 502)(480, 486, 503)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1516
Graph:: simple bipartite
	v = 147 e = 252 f = 63
	degree seq :: [ 3^84, 4^63 ]

E22.1514 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^2 * Y2^-1, 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 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 127, 4, 130)(2, 128, 5, 131)(3, 129, 6, 132)(7, 133, 13, 139)(8, 134, 14, 140)(9, 135, 15, 141)(10, 136, 16, 142)(11, 137, 17, 143)(12, 138, 18, 144)(19, 145, 31, 157)(20, 146, 32, 158)(21, 147, 33, 159)(22, 148, 34, 160)(23, 149, 35, 161)(24, 150, 36, 162)(25, 151, 37, 163)(26, 152, 38, 164)(27, 153, 39, 165)(28, 154, 40, 166)(29, 155, 41, 167)(30, 156, 42, 168)(43, 169, 58, 184)(44, 170, 59, 185)(45, 171, 60, 186)(46, 172, 61, 187)(47, 173, 62, 188)(48, 174, 63, 189)(49, 175, 64, 190)(50, 176, 65, 191)(51, 177, 66, 192)(52, 178, 67, 193)(53, 179, 68, 194)(54, 180, 69, 195)(55, 181, 70, 196)(56, 182, 71, 197)(57, 183, 72, 198)(73, 199, 94, 220)(74, 200, 95, 221)(75, 201, 96, 222)(76, 202, 97, 223)(77, 203, 98, 224)(78, 204, 99, 225)(79, 205, 100, 226)(80, 206, 101, 227)(81, 207, 102, 228)(82, 208, 103, 229)(83, 209, 104, 230)(84, 210, 105, 231)(85, 211, 106, 232)(86, 212, 107, 233)(87, 213, 108, 234)(88, 214, 109, 235)(89, 215, 110, 236)(90, 216, 111, 237)(91, 217, 112, 238)(92, 218, 113, 239)(93, 219, 114, 240)(115, 241, 121, 247)(116, 242, 122, 248)(117, 243, 123, 249)(118, 244, 124, 250)(119, 245, 125, 251)(120, 246, 126, 252)(253, 254, 255)(256, 259, 260)(257, 261, 262)(258, 263, 264)(265, 271, 272)(266, 273, 274)(267, 275, 276)(268, 277, 278)(269, 279, 280)(270, 281, 282)(283, 294, 295)(284, 296, 297)(285, 298, 299)(286, 300, 287)(288, 301, 302)(289, 303, 304)(290, 305, 291)(292, 306, 307)(293, 308, 309)(310, 325, 326)(311, 327, 328)(312, 329, 313)(314, 330, 331)(315, 332, 333)(316, 334, 335)(317, 336, 318)(319, 337, 338)(320, 339, 340)(321, 341, 342)(322, 343, 323)(324, 344, 345)(346, 366, 367)(347, 358, 348)(349, 357, 368)(350, 369, 363)(351, 362, 361)(352, 370, 353)(354, 365, 355)(356, 364, 371)(359, 372, 360)(373, 376, 378)(374, 377, 375)(379, 381, 380)(382, 386, 385)(383, 388, 387)(384, 390, 389)(391, 398, 397)(392, 400, 399)(393, 402, 401)(394, 404, 403)(395, 406, 405)(396, 408, 407)(409, 421, 420)(410, 423, 422)(411, 425, 424)(412, 413, 426)(414, 428, 427)(415, 430, 429)(416, 417, 431)(418, 433, 432)(419, 435, 434)(436, 452, 451)(437, 454, 453)(438, 439, 455)(440, 457, 456)(441, 459, 458)(442, 461, 460)(443, 444, 462)(445, 464, 463)(446, 466, 465)(447, 468, 467)(448, 449, 469)(450, 471, 470)(472, 493, 492)(473, 474, 484)(475, 494, 483)(476, 489, 495)(477, 487, 488)(478, 479, 496)(480, 481, 491)(482, 497, 490)(485, 486, 498)(499, 504, 502)(500, 501, 503)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1519
Graph:: simple bipartite
	v = 147 e = 252 f = 63
	degree seq :: [ 3^84, 4^63 ]

E22.1515 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-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 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 127, 4, 130)(2, 128, 5, 131)(3, 129, 6, 132)(7, 133, 13, 139)(8, 134, 14, 140)(9, 135, 15, 141)(10, 136, 16, 142)(11, 137, 17, 143)(12, 138, 18, 144)(19, 145, 31, 157)(20, 146, 32, 158)(21, 147, 33, 159)(22, 148, 34, 160)(23, 149, 35, 161)(24, 150, 36, 162)(25, 151, 37, 163)(26, 152, 38, 164)(27, 153, 39, 165)(28, 154, 40, 166)(29, 155, 41, 167)(30, 156, 42, 168)(43, 169, 58, 184)(44, 170, 59, 185)(45, 171, 60, 186)(46, 172, 61, 187)(47, 173, 62, 188)(48, 174, 63, 189)(49, 175, 64, 190)(50, 176, 65, 191)(51, 177, 66, 192)(52, 178, 67, 193)(53, 179, 68, 194)(54, 180, 69, 195)(55, 181, 70, 196)(56, 182, 71, 197)(57, 183, 72, 198)(73, 199, 94, 220)(74, 200, 95, 221)(75, 201, 96, 222)(76, 202, 97, 223)(77, 203, 98, 224)(78, 204, 99, 225)(79, 205, 100, 226)(80, 206, 101, 227)(81, 207, 102, 228)(82, 208, 103, 229)(83, 209, 104, 230)(84, 210, 105, 231)(85, 211, 106, 232)(86, 212, 107, 233)(87, 213, 108, 234)(88, 214, 109, 235)(89, 215, 110, 236)(90, 216, 111, 237)(91, 217, 112, 238)(92, 218, 113, 239)(93, 219, 114, 240)(115, 241, 121, 247)(116, 242, 122, 248)(117, 243, 123, 249)(118, 244, 124, 250)(119, 245, 125, 251)(120, 246, 126, 252)(253, 254, 255)(256, 259, 260)(257, 261, 262)(258, 263, 264)(265, 271, 272)(266, 273, 274)(267, 275, 276)(268, 277, 278)(269, 279, 280)(270, 281, 282)(283, 294, 295)(284, 296, 297)(285, 298, 299)(286, 300, 287)(288, 301, 302)(289, 303, 304)(290, 305, 291)(292, 306, 307)(293, 308, 309)(310, 325, 326)(311, 327, 328)(312, 329, 313)(314, 330, 331)(315, 332, 333)(316, 334, 335)(317, 336, 318)(319, 337, 338)(320, 339, 340)(321, 341, 342)(322, 343, 323)(324, 344, 345)(346, 366, 356)(347, 367, 348)(349, 360, 359)(350, 358, 368)(351, 369, 364)(352, 363, 353)(354, 370, 355)(357, 365, 371)(361, 372, 362)(373, 376, 378)(374, 377, 375)(379, 381, 380)(382, 386, 385)(383, 388, 387)(384, 390, 389)(391, 398, 397)(392, 400, 399)(393, 402, 401)(394, 404, 403)(395, 406, 405)(396, 408, 407)(409, 421, 420)(410, 423, 422)(411, 425, 424)(412, 413, 426)(414, 428, 427)(415, 430, 429)(416, 417, 431)(418, 433, 432)(419, 435, 434)(436, 452, 451)(437, 454, 453)(438, 439, 455)(440, 457, 456)(441, 459, 458)(442, 461, 460)(443, 444, 462)(445, 464, 463)(446, 466, 465)(447, 468, 467)(448, 449, 469)(450, 471, 470)(472, 482, 492)(473, 474, 493)(475, 485, 486)(476, 494, 484)(477, 490, 495)(478, 479, 489)(480, 481, 496)(483, 497, 491)(487, 488, 498)(499, 504, 502)(500, 501, 503)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1518
Graph:: simple bipartite
	v = 147 e = 252 f = 63
	degree seq :: [ 3^84, 4^63 ]

E22.1516 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, (Y2^-1 * Y3 * Y1^-1)^2, (Y1 * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y2^-1)^3, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 127, 253, 379, 4, 130, 256, 382)(2, 128, 254, 380, 8, 134, 260, 386)(3, 129, 255, 381, 10, 136, 262, 388)(5, 131, 257, 383, 16, 142, 268, 394)(6, 132, 258, 384, 18, 144, 270, 396)(7, 133, 259, 385, 19, 145, 271, 397)(9, 135, 261, 387, 24, 150, 276, 402)(11, 137, 263, 389, 29, 155, 281, 407)(12, 138, 264, 390, 31, 157, 283, 409)(13, 139, 265, 391, 33, 159, 285, 411)(14, 140, 266, 392, 35, 161, 287, 413)(15, 141, 267, 393, 36, 162, 288, 414)(17, 143, 269, 395, 30, 156, 282, 408)(20, 146, 272, 398, 41, 167, 293, 419)(21, 147, 273, 399, 42, 168, 294, 420)(22, 148, 274, 400, 43, 169, 295, 421)(23, 149, 275, 401, 44, 170, 296, 422)(25, 151, 277, 403, 45, 171, 297, 423)(26, 152, 278, 404, 46, 172, 298, 424)(27, 153, 279, 405, 47, 173, 299, 425)(28, 154, 280, 406, 48, 174, 300, 426)(32, 158, 284, 410, 53, 179, 305, 431)(34, 160, 286, 412, 58, 184, 310, 436)(37, 163, 289, 415, 63, 189, 315, 441)(38, 164, 290, 416, 64, 190, 316, 442)(39, 165, 291, 417, 65, 191, 317, 443)(40, 166, 292, 418, 66, 192, 318, 444)(49, 175, 301, 427, 91, 217, 343, 469)(50, 176, 302, 428, 92, 218, 344, 470)(51, 177, 303, 429, 93, 219, 345, 471)(52, 178, 304, 430, 94, 220, 346, 472)(54, 180, 306, 432, 95, 221, 347, 473)(55, 181, 307, 433, 96, 222, 348, 474)(56, 182, 308, 434, 97, 223, 349, 475)(57, 183, 309, 435, 98, 224, 350, 476)(59, 185, 311, 437, 99, 225, 351, 477)(60, 186, 312, 438, 100, 226, 352, 478)(61, 187, 313, 439, 101, 227, 353, 479)(62, 188, 314, 440, 102, 228, 354, 480)(67, 193, 319, 445, 103, 229, 355, 481)(68, 194, 320, 446, 104, 230, 356, 482)(69, 195, 321, 447, 105, 231, 357, 483)(70, 196, 322, 448, 106, 232, 358, 484)(71, 197, 323, 449, 107, 233, 359, 485)(72, 198, 324, 450, 108, 234, 360, 486)(73, 199, 325, 451, 109, 235, 361, 487)(74, 200, 326, 452, 110, 236, 362, 488)(75, 201, 327, 453, 111, 237, 363, 489)(76, 202, 328, 454, 112, 238, 364, 490)(77, 203, 329, 455, 113, 239, 365, 491)(78, 204, 330, 456, 114, 240, 366, 492)(79, 205, 331, 457, 115, 241, 367, 493)(80, 206, 332, 458, 116, 242, 368, 494)(81, 207, 333, 459, 117, 243, 369, 495)(82, 208, 334, 460, 118, 244, 370, 496)(83, 209, 335, 461, 119, 245, 371, 497)(84, 210, 336, 462, 120, 246, 372, 498)(85, 211, 337, 463, 121, 247, 373, 499)(86, 212, 338, 464, 122, 248, 374, 500)(87, 213, 339, 465, 123, 249, 375, 501)(88, 214, 340, 466, 124, 250, 376, 502)(89, 215, 341, 467, 125, 251, 377, 503)(90, 216, 342, 468, 126, 252, 378, 504)
	L = (1, 128)(2, 131)(3, 133)(4, 138)(5, 127)(6, 135)(7, 137)(8, 146)(9, 143)(10, 151)(11, 129)(12, 140)(13, 156)(14, 130)(15, 158)(16, 163)(17, 132)(18, 165)(19, 141)(20, 148)(21, 144)(22, 134)(23, 166)(24, 154)(25, 153)(26, 142)(27, 136)(28, 164)(29, 149)(30, 160)(31, 175)(32, 145)(33, 180)(34, 139)(35, 185)(36, 187)(37, 152)(38, 150)(39, 147)(40, 155)(41, 193)(42, 197)(43, 201)(44, 203)(45, 205)(46, 209)(47, 213)(48, 215)(49, 177)(50, 162)(51, 157)(52, 188)(53, 183)(54, 182)(55, 161)(56, 159)(57, 186)(58, 178)(59, 181)(60, 179)(61, 176)(62, 184)(63, 208)(64, 212)(65, 196)(66, 200)(67, 195)(68, 170)(69, 167)(70, 204)(71, 199)(72, 169)(73, 168)(74, 202)(75, 198)(76, 192)(77, 194)(78, 191)(79, 207)(80, 174)(81, 171)(82, 216)(83, 211)(84, 173)(85, 172)(86, 214)(87, 210)(88, 190)(89, 206)(90, 189)(91, 247)(92, 231)(93, 240)(94, 250)(95, 244)(96, 248)(97, 249)(98, 251)(99, 241)(100, 245)(101, 246)(102, 230)(103, 222)(104, 252)(105, 242)(106, 223)(107, 217)(108, 221)(109, 224)(110, 220)(111, 227)(112, 225)(113, 226)(114, 243)(115, 238)(116, 218)(117, 219)(118, 234)(119, 239)(120, 237)(121, 233)(122, 229)(123, 232)(124, 236)(125, 235)(126, 228)(253, 381)(254, 385)(255, 384)(256, 391)(257, 389)(258, 379)(259, 387)(260, 399)(261, 380)(262, 404)(263, 395)(264, 408)(265, 393)(266, 412)(267, 382)(268, 416)(269, 383)(270, 418)(271, 392)(272, 396)(273, 401)(274, 417)(275, 386)(276, 405)(277, 394)(278, 406)(279, 415)(280, 388)(281, 400)(282, 410)(283, 428)(284, 390)(285, 433)(286, 397)(287, 438)(288, 440)(289, 402)(290, 403)(291, 407)(292, 398)(293, 446)(294, 450)(295, 454)(296, 456)(297, 458)(298, 462)(299, 466)(300, 468)(301, 414)(302, 430)(303, 439)(304, 409)(305, 434)(306, 413)(307, 435)(308, 437)(309, 411)(310, 429)(311, 431)(312, 432)(313, 436)(314, 427)(315, 459)(316, 463)(317, 447)(318, 451)(319, 422)(320, 448)(321, 455)(322, 419)(323, 421)(324, 452)(325, 453)(326, 420)(327, 444)(328, 449)(329, 443)(330, 445)(331, 426)(332, 460)(333, 467)(334, 423)(335, 425)(336, 464)(337, 465)(338, 424)(339, 442)(340, 461)(341, 441)(342, 457)(343, 488)(344, 495)(345, 504)(346, 489)(347, 487)(348, 484)(349, 491)(350, 490)(351, 486)(352, 481)(353, 485)(354, 494)(355, 501)(356, 470)(357, 471)(358, 497)(359, 502)(360, 503)(361, 493)(362, 498)(363, 499)(364, 496)(365, 500)(366, 480)(367, 473)(368, 492)(369, 482)(370, 476)(371, 474)(372, 469)(373, 472)(374, 475)(375, 478)(376, 479)(377, 477)(378, 483)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1513
Transitivity :: VT+
Graph:: simple
	v = 63 e = 252 f = 147
	degree seq :: [ 8^63 ]

E22.1517 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y2 * R * Y1, (Y1 * Y2 * Y3)^2, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3 * Y2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 127, 253, 379, 4, 130, 256, 382)(2, 128, 254, 380, 8, 134, 260, 386)(3, 129, 255, 381, 10, 136, 262, 388)(5, 131, 257, 383, 16, 142, 268, 394)(6, 132, 258, 384, 18, 144, 270, 396)(7, 133, 259, 385, 19, 145, 271, 397)(9, 135, 261, 387, 24, 150, 276, 402)(11, 137, 263, 389, 29, 155, 281, 407)(12, 138, 264, 390, 31, 157, 283, 409)(13, 139, 265, 391, 33, 159, 285, 411)(14, 140, 266, 392, 35, 161, 287, 413)(15, 141, 267, 393, 36, 162, 288, 414)(17, 143, 269, 395, 30, 156, 282, 408)(20, 146, 272, 398, 41, 167, 293, 419)(21, 147, 273, 399, 42, 168, 294, 420)(22, 148, 274, 400, 43, 169, 295, 421)(23, 149, 275, 401, 44, 170, 296, 422)(25, 151, 277, 403, 45, 171, 297, 423)(26, 152, 278, 404, 46, 172, 298, 424)(27, 153, 279, 405, 47, 173, 299, 425)(28, 154, 280, 406, 48, 174, 300, 426)(32, 158, 284, 410, 53, 179, 305, 431)(34, 160, 286, 412, 58, 184, 310, 436)(37, 163, 289, 415, 63, 189, 315, 441)(38, 164, 290, 416, 64, 190, 316, 442)(39, 165, 291, 417, 65, 191, 317, 443)(40, 166, 292, 418, 66, 192, 318, 444)(49, 175, 301, 427, 91, 217, 343, 469)(50, 176, 302, 428, 92, 218, 344, 470)(51, 177, 303, 429, 93, 219, 345, 471)(52, 178, 304, 430, 94, 220, 346, 472)(54, 180, 306, 432, 95, 221, 347, 473)(55, 181, 307, 433, 96, 222, 348, 474)(56, 182, 308, 434, 97, 223, 349, 475)(57, 183, 309, 435, 98, 224, 350, 476)(59, 185, 311, 437, 99, 225, 351, 477)(60, 186, 312, 438, 100, 226, 352, 478)(61, 187, 313, 439, 101, 227, 353, 479)(62, 188, 314, 440, 102, 228, 354, 480)(67, 193, 319, 445, 103, 229, 355, 481)(68, 194, 320, 446, 104, 230, 356, 482)(69, 195, 321, 447, 105, 231, 357, 483)(70, 196, 322, 448, 106, 232, 358, 484)(71, 197, 323, 449, 107, 233, 359, 485)(72, 198, 324, 450, 108, 234, 360, 486)(73, 199, 325, 451, 109, 235, 361, 487)(74, 200, 326, 452, 110, 236, 362, 488)(75, 201, 327, 453, 111, 237, 363, 489)(76, 202, 328, 454, 112, 238, 364, 490)(77, 203, 329, 455, 113, 239, 365, 491)(78, 204, 330, 456, 114, 240, 366, 492)(79, 205, 331, 457, 115, 241, 367, 493)(80, 206, 332, 458, 116, 242, 368, 494)(81, 207, 333, 459, 117, 243, 369, 495)(82, 208, 334, 460, 118, 244, 370, 496)(83, 209, 335, 461, 119, 245, 371, 497)(84, 210, 336, 462, 120, 246, 372, 498)(85, 211, 337, 463, 121, 247, 373, 499)(86, 212, 338, 464, 122, 248, 374, 500)(87, 213, 339, 465, 123, 249, 375, 501)(88, 214, 340, 466, 124, 250, 376, 502)(89, 215, 341, 467, 125, 251, 377, 503)(90, 216, 342, 468, 126, 252, 378, 504)
	L = (1, 128)(2, 131)(3, 133)(4, 138)(5, 127)(6, 135)(7, 137)(8, 146)(9, 143)(10, 151)(11, 129)(12, 140)(13, 156)(14, 130)(15, 158)(16, 163)(17, 132)(18, 165)(19, 141)(20, 148)(21, 144)(22, 134)(23, 166)(24, 154)(25, 153)(26, 142)(27, 136)(28, 164)(29, 149)(30, 160)(31, 175)(32, 145)(33, 180)(34, 139)(35, 185)(36, 187)(37, 152)(38, 150)(39, 147)(40, 155)(41, 193)(42, 197)(43, 201)(44, 203)(45, 205)(46, 209)(47, 213)(48, 215)(49, 177)(50, 162)(51, 157)(52, 188)(53, 183)(54, 182)(55, 161)(56, 159)(57, 186)(58, 178)(59, 181)(60, 179)(61, 176)(62, 184)(63, 208)(64, 212)(65, 196)(66, 200)(67, 195)(68, 170)(69, 167)(70, 204)(71, 199)(72, 169)(73, 168)(74, 202)(75, 198)(76, 192)(77, 194)(78, 191)(79, 207)(80, 174)(81, 171)(82, 216)(83, 211)(84, 173)(85, 172)(86, 214)(87, 210)(88, 190)(89, 206)(90, 189)(91, 247)(92, 244)(93, 251)(94, 250)(95, 236)(96, 243)(97, 252)(98, 237)(99, 233)(100, 242)(101, 246)(102, 241)(103, 222)(104, 217)(105, 220)(106, 223)(107, 249)(108, 218)(109, 219)(110, 245)(111, 248)(112, 228)(113, 226)(114, 227)(115, 238)(116, 239)(117, 229)(118, 234)(119, 221)(120, 240)(121, 230)(122, 224)(123, 225)(124, 231)(125, 235)(126, 232)(253, 381)(254, 385)(255, 384)(256, 391)(257, 389)(258, 379)(259, 387)(260, 399)(261, 380)(262, 404)(263, 395)(264, 408)(265, 393)(266, 412)(267, 382)(268, 416)(269, 383)(270, 418)(271, 392)(272, 396)(273, 401)(274, 417)(275, 386)(276, 405)(277, 394)(278, 406)(279, 415)(280, 388)(281, 400)(282, 410)(283, 428)(284, 390)(285, 433)(286, 397)(287, 438)(288, 440)(289, 402)(290, 403)(291, 407)(292, 398)(293, 446)(294, 450)(295, 454)(296, 456)(297, 458)(298, 462)(299, 466)(300, 468)(301, 414)(302, 430)(303, 439)(304, 409)(305, 434)(306, 413)(307, 435)(308, 437)(309, 411)(310, 429)(311, 431)(312, 432)(313, 436)(314, 427)(315, 459)(316, 463)(317, 447)(318, 451)(319, 422)(320, 448)(321, 455)(322, 419)(323, 421)(324, 452)(325, 453)(326, 420)(327, 444)(328, 449)(329, 443)(330, 445)(331, 426)(332, 460)(333, 467)(334, 423)(335, 425)(336, 464)(337, 465)(338, 424)(339, 442)(340, 461)(341, 441)(342, 457)(343, 483)(344, 487)(345, 490)(346, 492)(347, 500)(348, 484)(349, 491)(350, 501)(351, 497)(352, 481)(353, 482)(354, 486)(355, 504)(356, 502)(357, 498)(358, 494)(359, 473)(360, 503)(361, 493)(362, 476)(363, 477)(364, 496)(365, 495)(366, 499)(367, 470)(368, 474)(369, 475)(370, 471)(371, 489)(372, 469)(373, 472)(374, 485)(375, 488)(376, 479)(377, 480)(378, 478)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1512
Transitivity :: VT+
Graph:: simple
	v = 63 e = 252 f = 147
	degree seq :: [ 8^63 ]

E22.1518 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y2^3, Y1^2 * Y2^-1, 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 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 127, 253, 379, 4, 130, 256, 382)(2, 128, 254, 380, 5, 131, 257, 383)(3, 129, 255, 381, 6, 132, 258, 384)(7, 133, 259, 385, 13, 139, 265, 391)(8, 134, 260, 386, 14, 140, 266, 392)(9, 135, 261, 387, 15, 141, 267, 393)(10, 136, 262, 388, 16, 142, 268, 394)(11, 137, 263, 389, 17, 143, 269, 395)(12, 138, 264, 390, 18, 144, 270, 396)(19, 145, 271, 397, 31, 157, 283, 409)(20, 146, 272, 398, 32, 158, 284, 410)(21, 147, 273, 399, 33, 159, 285, 411)(22, 148, 274, 400, 34, 160, 286, 412)(23, 149, 275, 401, 35, 161, 287, 413)(24, 150, 276, 402, 36, 162, 288, 414)(25, 151, 277, 403, 37, 163, 289, 415)(26, 152, 278, 404, 38, 164, 290, 416)(27, 153, 279, 405, 39, 165, 291, 417)(28, 154, 280, 406, 40, 166, 292, 418)(29, 155, 281, 407, 41, 167, 293, 419)(30, 156, 282, 408, 42, 168, 294, 420)(43, 169, 295, 421, 58, 184, 310, 436)(44, 170, 296, 422, 59, 185, 311, 437)(45, 171, 297, 423, 60, 186, 312, 438)(46, 172, 298, 424, 61, 187, 313, 439)(47, 173, 299, 425, 62, 188, 314, 440)(48, 174, 300, 426, 63, 189, 315, 441)(49, 175, 301, 427, 64, 190, 316, 442)(50, 176, 302, 428, 65, 191, 317, 443)(51, 177, 303, 429, 66, 192, 318, 444)(52, 178, 304, 430, 67, 193, 319, 445)(53, 179, 305, 431, 68, 194, 320, 446)(54, 180, 306, 432, 69, 195, 321, 447)(55, 181, 307, 433, 70, 196, 322, 448)(56, 182, 308, 434, 71, 197, 323, 449)(57, 183, 309, 435, 72, 198, 324, 450)(73, 199, 325, 451, 94, 220, 346, 472)(74, 200, 326, 452, 95, 221, 347, 473)(75, 201, 327, 453, 96, 222, 348, 474)(76, 202, 328, 454, 97, 223, 349, 475)(77, 203, 329, 455, 98, 224, 350, 476)(78, 204, 330, 456, 99, 225, 351, 477)(79, 205, 331, 457, 100, 226, 352, 478)(80, 206, 332, 458, 101, 227, 353, 479)(81, 207, 333, 459, 102, 228, 354, 480)(82, 208, 334, 460, 103, 229, 355, 481)(83, 209, 335, 461, 104, 230, 356, 482)(84, 210, 336, 462, 105, 231, 357, 483)(85, 211, 337, 463, 106, 232, 358, 484)(86, 212, 338, 464, 107, 233, 359, 485)(87, 213, 339, 465, 108, 234, 360, 486)(88, 214, 340, 466, 109, 235, 361, 487)(89, 215, 341, 467, 110, 236, 362, 488)(90, 216, 342, 468, 111, 237, 363, 489)(91, 217, 343, 469, 112, 238, 364, 490)(92, 218, 344, 470, 113, 239, 365, 491)(93, 219, 345, 471, 114, 240, 366, 492)(115, 241, 367, 493, 121, 247, 373, 499)(116, 242, 368, 494, 122, 248, 374, 500)(117, 243, 369, 495, 123, 249, 375, 501)(118, 244, 370, 496, 124, 250, 376, 502)(119, 245, 371, 497, 125, 251, 377, 503)(120, 246, 372, 498, 126, 252, 378, 504)
	L = (1, 128)(2, 129)(3, 127)(4, 133)(5, 135)(6, 137)(7, 134)(8, 130)(9, 136)(10, 131)(11, 138)(12, 132)(13, 145)(14, 147)(15, 149)(16, 151)(17, 153)(18, 155)(19, 146)(20, 139)(21, 148)(22, 140)(23, 150)(24, 141)(25, 152)(26, 142)(27, 154)(28, 143)(29, 156)(30, 144)(31, 168)(32, 170)(33, 172)(34, 174)(35, 160)(36, 175)(37, 177)(38, 179)(39, 164)(40, 180)(41, 182)(42, 169)(43, 157)(44, 171)(45, 158)(46, 173)(47, 159)(48, 161)(49, 176)(50, 162)(51, 178)(52, 163)(53, 165)(54, 181)(55, 166)(56, 183)(57, 167)(58, 199)(59, 201)(60, 203)(61, 186)(62, 204)(63, 206)(64, 208)(65, 210)(66, 191)(67, 211)(68, 213)(69, 215)(70, 217)(71, 196)(72, 218)(73, 200)(74, 184)(75, 202)(76, 185)(77, 187)(78, 205)(79, 188)(80, 207)(81, 189)(82, 209)(83, 190)(84, 192)(85, 212)(86, 193)(87, 214)(88, 194)(89, 216)(90, 195)(91, 197)(92, 219)(93, 198)(94, 240)(95, 232)(96, 221)(97, 231)(98, 243)(99, 236)(100, 244)(101, 226)(102, 239)(103, 228)(104, 238)(105, 242)(106, 222)(107, 246)(108, 233)(109, 225)(110, 235)(111, 224)(112, 245)(113, 229)(114, 241)(115, 220)(116, 223)(117, 237)(118, 227)(119, 230)(120, 234)(121, 250)(122, 251)(123, 248)(124, 252)(125, 249)(126, 247)(253, 381)(254, 379)(255, 380)(256, 386)(257, 388)(258, 390)(259, 382)(260, 385)(261, 383)(262, 387)(263, 384)(264, 389)(265, 398)(266, 400)(267, 402)(268, 404)(269, 406)(270, 408)(271, 391)(272, 397)(273, 392)(274, 399)(275, 393)(276, 401)(277, 394)(278, 403)(279, 395)(280, 405)(281, 396)(282, 407)(283, 421)(284, 423)(285, 425)(286, 413)(287, 426)(288, 428)(289, 430)(290, 417)(291, 431)(292, 433)(293, 435)(294, 409)(295, 420)(296, 410)(297, 422)(298, 411)(299, 424)(300, 412)(301, 414)(302, 427)(303, 415)(304, 429)(305, 416)(306, 418)(307, 432)(308, 419)(309, 434)(310, 452)(311, 454)(312, 439)(313, 455)(314, 457)(315, 459)(316, 461)(317, 444)(318, 462)(319, 464)(320, 466)(321, 468)(322, 449)(323, 469)(324, 471)(325, 436)(326, 451)(327, 437)(328, 453)(329, 438)(330, 440)(331, 456)(332, 441)(333, 458)(334, 442)(335, 460)(336, 443)(337, 445)(338, 463)(339, 446)(340, 465)(341, 447)(342, 467)(343, 448)(344, 450)(345, 470)(346, 493)(347, 474)(348, 484)(349, 494)(350, 489)(351, 487)(352, 479)(353, 496)(354, 481)(355, 491)(356, 497)(357, 475)(358, 473)(359, 486)(360, 498)(361, 488)(362, 477)(363, 495)(364, 482)(365, 480)(366, 472)(367, 492)(368, 483)(369, 476)(370, 478)(371, 490)(372, 485)(373, 504)(374, 501)(375, 503)(376, 499)(377, 500)(378, 502)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1515
Transitivity :: VT+
Graph::
	v = 63 e = 252 f = 147
	degree seq :: [ 8^63 ]

E22.1519 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-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 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 127, 253, 379, 4, 130, 256, 382)(2, 128, 254, 380, 5, 131, 257, 383)(3, 129, 255, 381, 6, 132, 258, 384)(7, 133, 259, 385, 13, 139, 265, 391)(8, 134, 260, 386, 14, 140, 266, 392)(9, 135, 261, 387, 15, 141, 267, 393)(10, 136, 262, 388, 16, 142, 268, 394)(11, 137, 263, 389, 17, 143, 269, 395)(12, 138, 264, 390, 18, 144, 270, 396)(19, 145, 271, 397, 31, 157, 283, 409)(20, 146, 272, 398, 32, 158, 284, 410)(21, 147, 273, 399, 33, 159, 285, 411)(22, 148, 274, 400, 34, 160, 286, 412)(23, 149, 275, 401, 35, 161, 287, 413)(24, 150, 276, 402, 36, 162, 288, 414)(25, 151, 277, 403, 37, 163, 289, 415)(26, 152, 278, 404, 38, 164, 290, 416)(27, 153, 279, 405, 39, 165, 291, 417)(28, 154, 280, 406, 40, 166, 292, 418)(29, 155, 281, 407, 41, 167, 293, 419)(30, 156, 282, 408, 42, 168, 294, 420)(43, 169, 295, 421, 58, 184, 310, 436)(44, 170, 296, 422, 59, 185, 311, 437)(45, 171, 297, 423, 60, 186, 312, 438)(46, 172, 298, 424, 61, 187, 313, 439)(47, 173, 299, 425, 62, 188, 314, 440)(48, 174, 300, 426, 63, 189, 315, 441)(49, 175, 301, 427, 64, 190, 316, 442)(50, 176, 302, 428, 65, 191, 317, 443)(51, 177, 303, 429, 66, 192, 318, 444)(52, 178, 304, 430, 67, 193, 319, 445)(53, 179, 305, 431, 68, 194, 320, 446)(54, 180, 306, 432, 69, 195, 321, 447)(55, 181, 307, 433, 70, 196, 322, 448)(56, 182, 308, 434, 71, 197, 323, 449)(57, 183, 309, 435, 72, 198, 324, 450)(73, 199, 325, 451, 94, 220, 346, 472)(74, 200, 326, 452, 95, 221, 347, 473)(75, 201, 327, 453, 96, 222, 348, 474)(76, 202, 328, 454, 97, 223, 349, 475)(77, 203, 329, 455, 98, 224, 350, 476)(78, 204, 330, 456, 99, 225, 351, 477)(79, 205, 331, 457, 100, 226, 352, 478)(80, 206, 332, 458, 101, 227, 353, 479)(81, 207, 333, 459, 102, 228, 354, 480)(82, 208, 334, 460, 103, 229, 355, 481)(83, 209, 335, 461, 104, 230, 356, 482)(84, 210, 336, 462, 105, 231, 357, 483)(85, 211, 337, 463, 106, 232, 358, 484)(86, 212, 338, 464, 107, 233, 359, 485)(87, 213, 339, 465, 108, 234, 360, 486)(88, 214, 340, 466, 109, 235, 361, 487)(89, 215, 341, 467, 110, 236, 362, 488)(90, 216, 342, 468, 111, 237, 363, 489)(91, 217, 343, 469, 112, 238, 364, 490)(92, 218, 344, 470, 113, 239, 365, 491)(93, 219, 345, 471, 114, 240, 366, 492)(115, 241, 367, 493, 121, 247, 373, 499)(116, 242, 368, 494, 122, 248, 374, 500)(117, 243, 369, 495, 123, 249, 375, 501)(118, 244, 370, 496, 124, 250, 376, 502)(119, 245, 371, 497, 125, 251, 377, 503)(120, 246, 372, 498, 126, 252, 378, 504)
	L = (1, 128)(2, 129)(3, 127)(4, 133)(5, 135)(6, 137)(7, 134)(8, 130)(9, 136)(10, 131)(11, 138)(12, 132)(13, 145)(14, 147)(15, 149)(16, 151)(17, 153)(18, 155)(19, 146)(20, 139)(21, 148)(22, 140)(23, 150)(24, 141)(25, 152)(26, 142)(27, 154)(28, 143)(29, 156)(30, 144)(31, 168)(32, 170)(33, 172)(34, 174)(35, 160)(36, 175)(37, 177)(38, 179)(39, 164)(40, 180)(41, 182)(42, 169)(43, 157)(44, 171)(45, 158)(46, 173)(47, 159)(48, 161)(49, 176)(50, 162)(51, 178)(52, 163)(53, 165)(54, 181)(55, 166)(56, 183)(57, 167)(58, 199)(59, 201)(60, 203)(61, 186)(62, 204)(63, 206)(64, 208)(65, 210)(66, 191)(67, 211)(68, 213)(69, 215)(70, 217)(71, 196)(72, 218)(73, 200)(74, 184)(75, 202)(76, 185)(77, 187)(78, 205)(79, 188)(80, 207)(81, 189)(82, 209)(83, 190)(84, 192)(85, 212)(86, 193)(87, 214)(88, 194)(89, 216)(90, 195)(91, 197)(92, 219)(93, 198)(94, 240)(95, 241)(96, 221)(97, 234)(98, 232)(99, 243)(100, 237)(101, 226)(102, 244)(103, 228)(104, 220)(105, 239)(106, 242)(107, 223)(108, 233)(109, 246)(110, 235)(111, 227)(112, 225)(113, 245)(114, 230)(115, 222)(116, 224)(117, 238)(118, 229)(119, 231)(120, 236)(121, 250)(122, 251)(123, 248)(124, 252)(125, 249)(126, 247)(253, 381)(254, 379)(255, 380)(256, 386)(257, 388)(258, 390)(259, 382)(260, 385)(261, 383)(262, 387)(263, 384)(264, 389)(265, 398)(266, 400)(267, 402)(268, 404)(269, 406)(270, 408)(271, 391)(272, 397)(273, 392)(274, 399)(275, 393)(276, 401)(277, 394)(278, 403)(279, 395)(280, 405)(281, 396)(282, 407)(283, 421)(284, 423)(285, 425)(286, 413)(287, 426)(288, 428)(289, 430)(290, 417)(291, 431)(292, 433)(293, 435)(294, 409)(295, 420)(296, 410)(297, 422)(298, 411)(299, 424)(300, 412)(301, 414)(302, 427)(303, 415)(304, 429)(305, 416)(306, 418)(307, 432)(308, 419)(309, 434)(310, 452)(311, 454)(312, 439)(313, 455)(314, 457)(315, 459)(316, 461)(317, 444)(318, 462)(319, 464)(320, 466)(321, 468)(322, 449)(323, 469)(324, 471)(325, 436)(326, 451)(327, 437)(328, 453)(329, 438)(330, 440)(331, 456)(332, 441)(333, 458)(334, 442)(335, 460)(336, 443)(337, 445)(338, 463)(339, 446)(340, 465)(341, 447)(342, 467)(343, 448)(344, 450)(345, 470)(346, 482)(347, 474)(348, 493)(349, 485)(350, 494)(351, 490)(352, 479)(353, 489)(354, 481)(355, 496)(356, 492)(357, 497)(358, 476)(359, 486)(360, 475)(361, 488)(362, 498)(363, 478)(364, 495)(365, 483)(366, 472)(367, 473)(368, 484)(369, 477)(370, 480)(371, 491)(372, 487)(373, 504)(374, 501)(375, 503)(376, 499)(377, 500)(378, 502)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1514
Transitivity :: VT+
Graph::
	v = 63 e = 252 f = 147
	degree seq :: [ 8^63 ]

E22.1520 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^3, X2^2 * X1 * X2^-2 * X1^-1, X2^6, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 17, 25)(11, 28, 29)(12, 30, 31)(15, 21, 32)(22, 42, 44)(23, 45, 46)(24, 43, 47)(26, 49, 50)(27, 51, 52)(33, 59, 60)(34, 61, 62)(35, 63, 65)(36, 66, 67)(37, 64, 68)(38, 69, 70)(39, 71, 72)(40, 73, 74)(41, 75, 76)(48, 83, 84)(53, 91, 92)(54, 93, 94)(55, 95, 96)(56, 97, 98)(57, 99, 100)(58, 101, 102)(77, 115, 109)(78, 116, 110)(79, 105, 117)(80, 106, 118)(81, 119, 113)(82, 108, 120)(85, 121, 111)(86, 122, 112)(87, 123, 103)(88, 124, 104)(89, 125, 114)(90, 126, 107)(127, 129, 135, 150, 141, 131)(128, 132, 143, 163, 147, 133)(130, 137, 151, 174, 158, 138)(134, 148, 169, 159, 139, 149)(136, 152, 173, 160, 140, 153)(142, 161, 190, 166, 145, 162)(144, 164, 194, 167, 146, 165)(154, 179, 209, 183, 156, 180)(155, 181, 210, 184, 157, 182)(168, 203, 185, 207, 171, 204)(170, 205, 186, 208, 172, 206)(175, 211, 187, 215, 177, 212)(176, 213, 188, 216, 178, 214)(189, 229, 199, 233, 192, 230)(191, 231, 200, 234, 193, 232)(195, 235, 201, 239, 197, 236)(196, 237, 202, 240, 198, 238)(217, 247, 225, 251, 219, 248)(218, 243, 226, 246, 220, 244)(221, 249, 227, 252, 223, 250)(222, 241, 228, 245, 224, 242)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 21
	degree seq :: [ 3^42, 6^21 ]

E22.1521 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1, X2^2 * X1 * X2^-3 * X1 * X2 * X1, (X1 * X2^-2)^3 ]
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, 43, 45)(21, 52, 53)(22, 54, 56)(23, 48, 57)(25, 61, 62)(27, 46, 66)(28, 50, 67)(30, 71, 73)(34, 79, 80)(35, 81, 70)(36, 49, 76)(37, 84, 74)(38, 86, 87)(41, 93, 94)(42, 75, 95)(44, 92, 97)(47, 77, 101)(51, 106, 107)(55, 72, 111)(58, 96, 116)(59, 88, 108)(60, 103, 117)(63, 113, 119)(64, 99, 120)(65, 98, 83)(68, 110, 89)(69, 118, 124)(78, 121, 126)(82, 112, 105)(85, 114, 122)(90, 104, 100)(91, 115, 125)(102, 123, 109)(127, 129, 135, 151, 141, 131)(128, 132, 143, 170, 147, 133)(130, 137, 156, 198, 160, 138)(134, 148, 181, 213, 184, 149)(136, 153, 191, 247, 194, 154)(139, 161, 208, 220, 209, 162)(140, 163, 211, 169, 214, 164)(142, 167, 188, 233, 222, 168)(144, 172, 226, 212, 228, 173)(145, 174, 229, 250, 230, 175)(146, 176, 231, 197, 234, 177)(150, 185, 204, 159, 203, 186)(152, 189, 178, 235, 207, 190)(155, 195, 223, 252, 242, 196)(157, 192, 245, 232, 251, 200)(158, 201, 240, 182, 239, 202)(165, 215, 221, 246, 199, 216)(166, 217, 227, 238, 180, 218)(171, 224, 205, 241, 183, 225)(179, 236, 210, 243, 219, 237)(187, 206, 249, 193, 248, 244)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E22.1526
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 21
	degree seq :: [ 3^42, 6^21 ]

E22.1522 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2^-1 * X1^-1 * X2 * X1 * X2 * X1 * X2^-1 * X1^-1, X2^-3 * X1 * X2^-1 * X1 * X2^-2 * X1, (X1 * X2^2)^3, X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^-1 * X1 * X2 ]
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, 43, 45)(21, 52, 53)(22, 41, 55)(23, 56, 57)(25, 61, 62)(27, 65, 67)(28, 68, 69)(30, 72, 74)(34, 79, 80)(35, 42, 82)(36, 83, 84)(37, 47, 87)(38, 51, 78)(44, 63, 96)(46, 99, 101)(48, 71, 104)(49, 105, 106)(50, 76, 108)(54, 88, 111)(58, 114, 102)(59, 93, 109)(60, 86, 98)(64, 116, 117)(66, 100, 90)(70, 119, 120)(73, 97, 85)(75, 122, 123)(77, 115, 124)(81, 103, 113)(89, 94, 118)(91, 110, 126)(92, 112, 125)(95, 107, 121)(127, 129, 135, 151, 141, 131)(128, 132, 143, 170, 147, 133)(130, 137, 156, 199, 160, 138)(134, 148, 180, 232, 184, 149)(136, 153, 192, 178, 196, 154)(139, 161, 207, 193, 211, 162)(140, 163, 212, 248, 214, 164)(142, 167, 219, 250, 220, 168)(144, 172, 226, 205, 228, 173)(145, 174, 229, 227, 188, 175)(146, 176, 233, 191, 235, 177)(150, 185, 206, 252, 230, 186)(152, 189, 209, 240, 234, 190)(155, 181, 238, 210, 245, 197)(157, 201, 216, 165, 215, 202)(158, 183, 239, 249, 222, 203)(159, 195, 243, 225, 251, 204)(166, 217, 182, 221, 169, 218)(171, 223, 231, 244, 194, 224)(179, 236, 208, 242, 198, 237)(187, 241, 246, 213, 247, 200)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 21
	degree seq :: [ 3^42, 6^21 ]

E22.1523 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^6, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X2 * X1 * X2^-2 * X1^-1 * X2, X2^6, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 13, 4)(3, 9, 27, 57, 32, 11)(5, 15, 40, 77, 41, 16)(7, 21, 50, 93, 53, 23)(8, 24, 55, 100, 56, 25)(10, 22, 45, 81, 64, 31)(12, 34, 68, 113, 71, 35)(14, 38, 76, 107, 61, 28)(17, 26, 49, 85, 75, 39)(19, 44, 86, 78, 89, 46)(20, 47, 91, 58, 92, 48)(29, 62, 108, 125, 109, 63)(30, 60, 105, 126, 96, 51)(33, 67, 112, 122, 87, 52)(36, 72, 114, 124, 102, 73)(37, 74, 103, 120, 97, 69)(42, 80, 115, 101, 79, 82)(43, 83, 119, 94, 65, 84)(54, 99, 59, 106, 116, 88)(66, 111, 117, 90, 123, 95)(70, 110, 118, 104, 121, 98)(127, 129, 136, 156, 143, 131)(128, 133, 148, 178, 152, 134)(130, 138, 157, 188, 165, 140)(132, 145, 171, 214, 175, 146)(135, 154, 186, 161, 141, 155)(137, 150, 177, 147, 142, 159)(139, 162, 190, 236, 201, 163)(144, 168, 207, 243, 211, 169)(149, 173, 213, 170, 151, 180)(153, 184, 231, 204, 166, 185)(158, 191, 222, 205, 167, 192)(160, 195, 234, 199, 164, 196)(172, 209, 242, 206, 174, 216)(176, 220, 193, 227, 181, 221)(179, 223, 248, 228, 182, 224)(183, 229, 252, 240, 203, 230)(187, 232, 197, 218, 189, 215)(194, 226, 251, 219, 202, 238)(198, 210, 244, 208, 200, 237)(212, 246, 225, 250, 217, 247)(233, 249, 239, 245, 235, 241)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1524 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^3, X2^2 * X1 * X2^-2 * X1^-1, X2^6, X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, (X2^-1 * X1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 4, 130)(3, 129, 8, 134, 10, 136)(5, 131, 13, 139, 14, 140)(6, 132, 16, 142, 18, 144)(7, 133, 19, 145, 20, 146)(9, 135, 17, 143, 25, 151)(11, 137, 28, 154, 29, 155)(12, 138, 30, 156, 31, 157)(15, 141, 21, 147, 32, 158)(22, 148, 42, 168, 44, 170)(23, 149, 45, 171, 46, 172)(24, 150, 43, 169, 47, 173)(26, 152, 49, 175, 50, 176)(27, 153, 51, 177, 52, 178)(33, 159, 59, 185, 60, 186)(34, 160, 61, 187, 62, 188)(35, 161, 63, 189, 65, 191)(36, 162, 66, 192, 67, 193)(37, 163, 64, 190, 68, 194)(38, 164, 69, 195, 70, 196)(39, 165, 71, 197, 72, 198)(40, 166, 73, 199, 74, 200)(41, 167, 75, 201, 76, 202)(48, 174, 83, 209, 84, 210)(53, 179, 91, 217, 92, 218)(54, 180, 93, 219, 94, 220)(55, 181, 95, 221, 96, 222)(56, 182, 97, 223, 98, 224)(57, 183, 99, 225, 100, 226)(58, 184, 101, 227, 102, 228)(77, 203, 115, 241, 109, 235)(78, 204, 116, 242, 110, 236)(79, 205, 105, 231, 117, 243)(80, 206, 106, 232, 118, 244)(81, 207, 119, 245, 113, 239)(82, 208, 108, 234, 120, 246)(85, 211, 121, 247, 111, 237)(86, 212, 122, 248, 112, 238)(87, 213, 123, 249, 103, 229)(88, 214, 124, 250, 104, 230)(89, 215, 125, 251, 114, 240)(90, 216, 126, 252, 107, 233)
	L = (1, 129)(2, 132)(3, 135)(4, 137)(5, 127)(6, 143)(7, 128)(8, 148)(9, 150)(10, 152)(11, 151)(12, 130)(13, 149)(14, 153)(15, 131)(16, 161)(17, 163)(18, 164)(19, 162)(20, 165)(21, 133)(22, 169)(23, 134)(24, 141)(25, 174)(26, 173)(27, 136)(28, 179)(29, 181)(30, 180)(31, 182)(32, 138)(33, 139)(34, 140)(35, 190)(36, 142)(37, 147)(38, 194)(39, 144)(40, 145)(41, 146)(42, 203)(43, 159)(44, 205)(45, 204)(46, 206)(47, 160)(48, 158)(49, 211)(50, 213)(51, 212)(52, 214)(53, 209)(54, 154)(55, 210)(56, 155)(57, 156)(58, 157)(59, 207)(60, 208)(61, 215)(62, 216)(63, 229)(64, 166)(65, 231)(66, 230)(67, 232)(68, 167)(69, 235)(70, 237)(71, 236)(72, 238)(73, 233)(74, 234)(75, 239)(76, 240)(77, 185)(78, 168)(79, 186)(80, 170)(81, 171)(82, 172)(83, 183)(84, 184)(85, 187)(86, 175)(87, 188)(88, 176)(89, 177)(90, 178)(91, 247)(92, 243)(93, 248)(94, 244)(95, 249)(96, 241)(97, 250)(98, 242)(99, 251)(100, 246)(101, 252)(102, 245)(103, 199)(104, 189)(105, 200)(106, 191)(107, 192)(108, 193)(109, 201)(110, 195)(111, 202)(112, 196)(113, 197)(114, 198)(115, 228)(116, 222)(117, 226)(118, 218)(119, 224)(120, 220)(121, 225)(122, 217)(123, 227)(124, 221)(125, 219)(126, 223)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1525 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^6, (X2 * X1^-1)^3, (X2^-1 * X1^-1)^3, X2 * X1 * X2^-2 * X1^-1 * X2, X2^6, X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 27, 153, 57, 183, 32, 158, 11, 137)(5, 131, 15, 141, 40, 166, 77, 203, 41, 167, 16, 142)(7, 133, 21, 147, 50, 176, 93, 219, 53, 179, 23, 149)(8, 134, 24, 150, 55, 181, 100, 226, 56, 182, 25, 151)(10, 136, 22, 148, 45, 171, 81, 207, 64, 190, 31, 157)(12, 138, 34, 160, 68, 194, 113, 239, 71, 197, 35, 161)(14, 140, 38, 164, 76, 202, 107, 233, 61, 187, 28, 154)(17, 143, 26, 152, 49, 175, 85, 211, 75, 201, 39, 165)(19, 145, 44, 170, 86, 212, 78, 204, 89, 215, 46, 172)(20, 146, 47, 173, 91, 217, 58, 184, 92, 218, 48, 174)(29, 155, 62, 188, 108, 234, 125, 251, 109, 235, 63, 189)(30, 156, 60, 186, 105, 231, 126, 252, 96, 222, 51, 177)(33, 159, 67, 193, 112, 238, 122, 248, 87, 213, 52, 178)(36, 162, 72, 198, 114, 240, 124, 250, 102, 228, 73, 199)(37, 163, 74, 200, 103, 229, 120, 246, 97, 223, 69, 195)(42, 168, 80, 206, 115, 241, 101, 227, 79, 205, 82, 208)(43, 169, 83, 209, 119, 245, 94, 220, 65, 191, 84, 210)(54, 180, 99, 225, 59, 185, 106, 232, 116, 242, 88, 214)(66, 192, 111, 237, 117, 243, 90, 216, 123, 249, 95, 221)(70, 196, 110, 236, 118, 244, 104, 230, 121, 247, 98, 224)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 154)(10, 156)(11, 150)(12, 157)(13, 162)(14, 130)(15, 155)(16, 159)(17, 131)(18, 168)(19, 171)(20, 132)(21, 142)(22, 178)(23, 173)(24, 177)(25, 180)(26, 134)(27, 184)(28, 186)(29, 135)(30, 143)(31, 188)(32, 191)(33, 137)(34, 195)(35, 141)(36, 190)(37, 139)(38, 196)(39, 140)(40, 185)(41, 192)(42, 207)(43, 144)(44, 151)(45, 214)(46, 209)(47, 213)(48, 216)(49, 146)(50, 220)(51, 147)(52, 152)(53, 223)(54, 149)(55, 221)(56, 224)(57, 229)(58, 231)(59, 153)(60, 161)(61, 232)(62, 165)(63, 215)(64, 236)(65, 222)(66, 158)(67, 227)(68, 226)(69, 234)(70, 160)(71, 218)(72, 210)(73, 164)(74, 237)(75, 163)(76, 238)(77, 230)(78, 166)(79, 167)(80, 174)(81, 243)(82, 200)(83, 242)(84, 244)(85, 169)(86, 246)(87, 170)(88, 175)(89, 187)(90, 172)(91, 247)(92, 189)(93, 202)(94, 193)(95, 176)(96, 205)(97, 248)(98, 179)(99, 250)(100, 251)(101, 181)(102, 182)(103, 252)(104, 183)(105, 204)(106, 197)(107, 249)(108, 199)(109, 241)(110, 201)(111, 198)(112, 194)(113, 245)(114, 203)(115, 233)(116, 206)(117, 211)(118, 208)(119, 235)(120, 225)(121, 212)(122, 228)(123, 239)(124, 217)(125, 219)(126, 240)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 21 e = 126 f = 63
	degree seq :: [ 12^21 ]

E22.1526 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ X1^6, X2^6, (X2^-1 * X1^-1)^3, X2^2 * X1^-2 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 27, 153, 61, 187, 32, 158, 11, 137)(5, 131, 15, 141, 35, 161, 74, 200, 42, 168, 16, 142)(7, 133, 21, 147, 51, 177, 95, 221, 55, 181, 23, 149)(8, 134, 24, 150, 10, 136, 30, 156, 59, 185, 25, 151)(12, 138, 34, 160, 72, 198, 100, 226, 60, 186, 26, 152)(14, 140, 38, 164, 77, 203, 109, 235, 64, 190, 28, 154)(17, 143, 36, 162, 76, 202, 113, 239, 68, 194, 43, 169)(19, 145, 46, 172, 88, 214, 121, 247, 91, 217, 48, 174)(20, 146, 49, 175, 22, 148, 53, 179, 94, 220, 50, 176)(29, 155, 65, 191, 31, 157, 69, 195, 111, 237, 66, 192)(33, 159, 71, 197, 40, 166, 81, 207, 89, 215, 67, 193)(37, 163, 78, 204, 85, 211, 118, 244, 115, 241, 73, 199)(39, 165, 44, 170, 84, 210, 117, 243, 114, 240, 80, 206)(41, 167, 82, 208, 92, 218, 123, 249, 93, 219, 70, 196)(45, 171, 86, 212, 47, 173, 90, 216, 120, 246, 87, 213)(52, 178, 97, 223, 54, 180, 101, 227, 79, 205, 98, 224)(56, 182, 103, 229, 57, 183, 104, 230, 63, 189, 99, 225)(58, 184, 105, 231, 75, 201, 107, 233, 119, 245, 102, 228)(62, 188, 96, 222, 122, 248, 116, 242, 126, 252, 108, 234)(83, 209, 106, 232, 124, 250, 112, 238, 125, 251, 110, 236)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 154)(10, 157)(11, 146)(12, 161)(13, 162)(14, 130)(15, 166)(16, 167)(17, 131)(18, 170)(19, 173)(20, 132)(21, 142)(22, 180)(23, 171)(24, 183)(25, 184)(26, 134)(27, 188)(28, 189)(29, 135)(30, 193)(31, 143)(32, 141)(33, 137)(34, 199)(35, 201)(36, 203)(37, 139)(38, 205)(39, 140)(40, 198)(41, 202)(42, 195)(43, 204)(44, 211)(45, 144)(46, 151)(47, 159)(48, 163)(49, 219)(50, 155)(51, 222)(52, 147)(53, 225)(54, 152)(55, 150)(56, 149)(57, 153)(58, 160)(59, 227)(60, 164)(61, 216)(62, 228)(63, 210)(64, 233)(65, 232)(66, 217)(67, 238)(68, 156)(69, 221)(70, 158)(71, 240)(72, 234)(73, 215)(74, 223)(75, 165)(76, 213)(77, 218)(78, 237)(79, 239)(80, 212)(81, 169)(82, 236)(83, 168)(84, 176)(85, 182)(86, 245)(87, 178)(88, 248)(89, 172)(90, 208)(91, 175)(92, 174)(93, 177)(94, 197)(95, 244)(96, 192)(97, 250)(98, 206)(99, 251)(100, 179)(101, 247)(102, 181)(103, 194)(104, 186)(105, 209)(106, 185)(107, 187)(108, 196)(109, 191)(110, 190)(111, 243)(112, 246)(113, 252)(114, 200)(115, 249)(116, 207)(117, 242)(118, 231)(119, 214)(120, 229)(121, 235)(122, 224)(123, 226)(124, 220)(125, 241)(126, 230)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E22.1521
Transitivity :: ET+ VT+
Graph:: simple
	v = 21 e = 126 f = 63
	degree seq :: [ 12^21 ]

E22.1527 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
Aut   = C3 x ((C7 : C3) : C2) (small group id <126, 7>)
|r| :: 1
Presentation :: [ (X1^-1 * X2)^3, X2 * X1^2 * X2^-1 * X1^-2, (X2^-1 * X1^-1)^3, X2^6, X1^6, X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1 * X2^-2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 19, 145, 44, 170, 32, 158, 11, 137)(5, 131, 15, 141, 20, 146, 46, 172, 36, 162, 16, 142)(7, 133, 21, 147, 42, 168, 35, 161, 12, 138, 23, 149)(8, 134, 24, 150, 43, 169, 27, 153, 14, 140, 25, 151)(10, 136, 29, 155, 45, 171, 83, 209, 65, 191, 31, 157)(17, 143, 40, 166, 47, 173, 86, 212, 71, 197, 41, 167)(22, 148, 49, 175, 80, 206, 69, 195, 34, 160, 51, 177)(26, 152, 55, 181, 81, 207, 72, 198, 37, 163, 56, 182)(28, 154, 58, 184, 82, 208, 61, 187, 33, 159, 59, 185)(30, 156, 63, 189, 84, 210, 118, 244, 111, 237, 64, 190)(38, 164, 73, 199, 85, 211, 77, 203, 39, 165, 75, 201)(48, 174, 87, 213, 70, 196, 90, 216, 52, 178, 88, 214)(50, 176, 92, 218, 115, 241, 113, 239, 68, 194, 93, 219)(53, 179, 96, 222, 57, 183, 100, 226, 54, 180, 98, 224)(60, 186, 104, 230, 116, 242, 112, 238, 67, 193, 105, 231)(62, 188, 107, 233, 117, 243, 109, 235, 66, 192, 108, 234)(74, 200, 97, 223, 119, 245, 103, 229, 76, 202, 99, 225)(78, 204, 101, 227, 120, 246, 110, 236, 79, 205, 102, 228)(89, 215, 121, 247, 114, 240, 126, 252, 95, 221, 122, 248)(91, 217, 123, 249, 106, 232, 125, 251, 94, 220, 124, 250)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 153)(10, 156)(11, 150)(12, 160)(13, 158)(14, 130)(15, 164)(16, 165)(17, 131)(18, 168)(19, 171)(20, 132)(21, 142)(22, 176)(23, 172)(24, 179)(25, 180)(26, 134)(27, 183)(28, 135)(29, 187)(30, 143)(31, 184)(32, 191)(33, 137)(34, 194)(35, 141)(36, 139)(37, 140)(38, 200)(39, 202)(40, 204)(41, 205)(42, 206)(43, 144)(44, 151)(45, 210)(46, 211)(47, 146)(48, 147)(49, 216)(50, 152)(51, 213)(52, 149)(53, 223)(54, 225)(55, 227)(56, 228)(57, 229)(58, 217)(59, 220)(60, 154)(61, 232)(62, 155)(63, 235)(64, 233)(65, 237)(66, 157)(67, 159)(68, 163)(69, 214)(70, 161)(71, 162)(72, 236)(73, 167)(74, 240)(75, 212)(76, 215)(77, 166)(78, 239)(79, 218)(80, 241)(81, 169)(82, 170)(83, 185)(84, 173)(85, 245)(86, 246)(87, 243)(88, 188)(89, 174)(90, 192)(91, 175)(92, 251)(93, 249)(94, 177)(95, 178)(96, 182)(97, 193)(98, 198)(99, 242)(100, 181)(101, 190)(102, 244)(103, 186)(104, 199)(105, 201)(106, 195)(107, 252)(108, 247)(109, 248)(110, 189)(111, 197)(112, 203)(113, 250)(114, 196)(115, 207)(116, 208)(117, 209)(118, 234)(119, 221)(120, 219)(121, 222)(122, 224)(123, 231)(124, 238)(125, 230)(126, 226)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 21 e = 126 f = 63
	degree seq :: [ 12^21 ]

E22.1528 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2^2 * X1 * X2^-1 * X1^-1 * X2 * X1, (X2^-2 * X1)^3, X2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^3 * X1^-1, (X2^-1 * X1^-1)^6 ]
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, 35, 44)(21, 49, 50)(22, 51, 52)(23, 53, 38)(25, 56, 57)(27, 60, 62)(28, 63, 64)(30, 46, 67)(34, 71, 37)(36, 73, 74)(41, 81, 82)(42, 83, 48)(43, 85, 86)(45, 89, 90)(47, 92, 93)(54, 102, 94)(55, 103, 104)(58, 106, 88)(59, 79, 107)(61, 100, 75)(65, 110, 70)(66, 111, 101)(68, 113, 105)(69, 114, 115)(72, 78, 108)(76, 116, 109)(77, 98, 80)(84, 118, 99)(87, 119, 112)(91, 96, 120)(95, 117, 97)(121, 125, 124)(122, 123, 126)(127, 129, 135, 151, 141, 131)(128, 132, 143, 169, 147, 133)(130, 137, 156, 192, 160, 138)(134, 148, 144, 171, 180, 149)(136, 153, 187, 191, 155, 154)(139, 161, 198, 208, 201, 162)(140, 163, 202, 218, 203, 164)(142, 167, 157, 194, 210, 168)(145, 172, 217, 190, 220, 173)(146, 166, 206, 240, 221, 174)(150, 181, 178, 225, 195, 158)(152, 184, 175, 222, 186, 185)(159, 176, 223, 199, 242, 196)(165, 204, 239, 238, 193, 205)(170, 213, 197, 229, 215, 214)(177, 211, 188, 234, 247, 224)(179, 226, 248, 233, 241, 227)(182, 231, 230, 250, 235, 189)(183, 209, 228, 249, 232, 200)(207, 237, 216, 246, 251, 243)(212, 236, 244, 252, 245, 219)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E22.1529
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 21
	degree seq :: [ 3^42, 6^21 ]

E22.1529 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = S3 x (C7 : C3) (small group id <126, 8>)
Aut   = S3 x (C7 : C3) (small group id <126, 8>)
|r| :: 1
Presentation :: [ X1^6, X2^6, (X2^-1 * X1^-1)^3, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X2^-3 * X1^2 * X2^-3 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 27, 153, 61, 187, 33, 159, 11, 137)(5, 131, 15, 141, 40, 166, 81, 207, 41, 167, 16, 142)(7, 133, 21, 147, 52, 178, 99, 225, 56, 182, 23, 149)(8, 134, 24, 150, 57, 183, 104, 230, 58, 184, 25, 151)(10, 136, 29, 155, 65, 191, 85, 211, 69, 195, 31, 157)(12, 138, 32, 158, 68, 194, 111, 237, 75, 201, 35, 161)(14, 140, 38, 164, 79, 205, 110, 236, 64, 190, 28, 154)(17, 143, 42, 168, 82, 208, 89, 215, 83, 209, 43, 169)(19, 145, 46, 172, 90, 216, 122, 248, 94, 220, 48, 174)(20, 146, 49, 175, 95, 221, 124, 250, 96, 222, 50, 176)(22, 148, 53, 179, 100, 226, 76, 202, 103, 229, 55, 181)(26, 152, 59, 185, 105, 231, 78, 204, 106, 232, 60, 186)(30, 156, 66, 192, 92, 218, 123, 249, 112, 238, 67, 193)(34, 160, 72, 198, 93, 219, 47, 173, 91, 217, 71, 197)(36, 162, 74, 200, 114, 240, 126, 252, 109, 235, 63, 189)(37, 163, 77, 203, 108, 234, 125, 251, 113, 239, 70, 196)(39, 165, 62, 188, 98, 224, 51, 177, 97, 223, 80, 206)(44, 170, 84, 210, 117, 243, 116, 242, 119, 245, 86, 212)(45, 171, 87, 213, 120, 246, 107, 233, 121, 247, 88, 214)(54, 180, 101, 227, 118, 244, 115, 241, 73, 199, 102, 228)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 154)(10, 156)(11, 158)(12, 160)(13, 162)(14, 130)(15, 150)(16, 161)(17, 131)(18, 170)(19, 173)(20, 132)(21, 142)(22, 180)(23, 135)(24, 175)(25, 137)(26, 134)(27, 188)(28, 189)(29, 184)(30, 143)(31, 194)(32, 196)(33, 197)(34, 199)(35, 200)(36, 202)(37, 139)(38, 141)(39, 140)(40, 206)(41, 179)(42, 205)(43, 201)(44, 211)(45, 144)(46, 151)(47, 218)(48, 147)(49, 213)(50, 149)(51, 146)(52, 168)(53, 222)(54, 152)(55, 153)(56, 157)(57, 169)(58, 217)(59, 166)(60, 159)(61, 233)(62, 234)(63, 210)(64, 155)(65, 216)(66, 225)(67, 237)(68, 232)(69, 239)(70, 212)(71, 240)(72, 167)(73, 165)(74, 214)(75, 226)(76, 238)(77, 164)(78, 163)(79, 231)(80, 235)(81, 228)(82, 220)(83, 221)(84, 176)(85, 244)(86, 172)(87, 203)(88, 174)(89, 171)(90, 185)(91, 247)(92, 177)(93, 178)(94, 181)(95, 186)(96, 195)(97, 183)(98, 182)(99, 251)(100, 243)(101, 248)(102, 187)(103, 190)(104, 192)(105, 245)(106, 246)(107, 249)(108, 208)(109, 191)(110, 193)(111, 250)(112, 204)(113, 198)(114, 209)(115, 252)(116, 207)(117, 223)(118, 215)(119, 219)(120, 224)(121, 229)(122, 236)(123, 242)(124, 227)(125, 241)(126, 230)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E22.1528
Transitivity :: ET+ VT+
Graph:: simple
	v = 21 e = 126 f = 63
	degree seq :: [ 12^21 ]

E22.1530 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1^-1)^2, X2^6, (X2^-1 * X1^-1)^6, X1 * X2^2 * X1 * X2^-3 * X1 * X2 * X1 * X2^2 * X1 * X2^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 7)(5, 10, 12)(6, 14, 11)(9, 19, 18)(13, 23, 25)(15, 28, 27)(16, 17, 30)(20, 35, 34)(21, 36, 24)(22, 26, 38)(29, 46, 45)(31, 48, 47)(32, 33, 50)(37, 56, 55)(39, 58, 41)(40, 54, 60)(42, 62, 57)(43, 44, 64)(49, 71, 70)(51, 73, 72)(52, 53, 75)(59, 83, 82)(61, 81, 85)(63, 88, 87)(65, 90, 89)(66, 67, 92)(68, 69, 94)(74, 101, 100)(76, 103, 102)(77, 104, 84)(78, 79, 106)(80, 86, 108)(91, 113, 109)(93, 117, 116)(95, 105, 118)(96, 97, 112)(98, 99, 114)(107, 123, 122)(110, 111, 115)(119, 125, 124)(120, 121, 126)(127, 129, 135, 146, 139, 131)(128, 132, 141, 155, 142, 133)(130, 136, 147, 163, 148, 137)(134, 143, 157, 175, 158, 144)(138, 149, 165, 185, 166, 150)(140, 152, 168, 189, 169, 153)(145, 159, 177, 200, 178, 160)(151, 161, 179, 202, 187, 167)(154, 170, 191, 217, 192, 171)(156, 172, 193, 219, 194, 173)(162, 180, 203, 231, 204, 181)(164, 182, 205, 233, 206, 183)(174, 195, 221, 230, 222, 196)(176, 197, 223, 245, 224, 198)(184, 207, 235, 216, 236, 208)(186, 209, 237, 250, 238, 210)(188, 212, 226, 199, 225, 213)(190, 214, 240, 251, 241, 215)(201, 227, 234, 249, 246, 228)(211, 229, 247, 242, 218, 239)(220, 243, 252, 248, 232, 244)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E22.1531
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 21
	degree seq :: [ 3^42, 6^21 ]

E22.1531 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
Aut   = (C3 x (C7 : C3)) : C2 (small group id <126, 9>)
|r| :: 1
Presentation :: [ (X2^-2 * X1^-1)^2, (X2 * X1)^3, X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1, (X2 * X1^2)^2, X1^6, X2^6, X2^-1 * X1 * X2^-1 * X1^-1 * X2^3 * X1^-1, X2 * X1^-1 * X2^2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1, X2 * X1^-2 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 27, 153, 55, 181, 33, 159, 11, 137)(5, 131, 15, 141, 38, 164, 44, 170, 19, 145, 16, 142)(7, 133, 21, 147, 14, 140, 34, 160, 51, 177, 23, 149)(8, 134, 24, 150, 52, 178, 74, 200, 41, 167, 25, 151)(10, 136, 29, 155, 57, 183, 94, 220, 61, 187, 31, 157)(12, 138, 28, 154, 42, 168, 75, 201, 66, 192, 36, 162)(17, 143, 40, 166, 71, 197, 84, 210, 49, 175, 22, 148)(20, 146, 45, 171, 80, 206, 68, 194, 37, 163, 46, 172)(26, 152, 54, 180, 89, 215, 113, 239, 78, 204, 43, 169)(30, 156, 59, 185, 96, 222, 121, 247, 86, 212, 50, 176)(32, 158, 58, 184, 91, 217, 123, 249, 100, 226, 63, 189)(35, 161, 56, 182, 92, 218, 119, 245, 102, 228, 64, 190)(39, 165, 69, 195, 103, 229, 115, 241, 79, 205, 48, 174)(47, 173, 82, 208, 118, 244, 125, 251, 108, 234, 73, 199)(53, 179, 87, 213, 62, 188, 95, 221, 109, 235, 77, 203)(60, 186, 97, 223, 112, 238, 88, 214, 122, 248, 99, 225)(65, 191, 93, 219, 110, 236, 126, 252, 114, 240, 90, 216)(67, 193, 76, 202, 111, 237, 98, 224, 124, 250, 104, 230)(70, 196, 106, 232, 117, 243, 101, 227, 120, 246, 83, 209)(72, 198, 105, 231, 107, 233, 81, 207, 116, 242, 85, 211)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 147)(10, 156)(11, 158)(12, 161)(13, 163)(14, 130)(15, 149)(16, 151)(17, 131)(18, 167)(19, 169)(20, 132)(21, 142)(22, 174)(23, 176)(24, 170)(25, 172)(26, 134)(27, 139)(28, 135)(29, 140)(30, 143)(31, 186)(32, 188)(33, 190)(34, 137)(35, 184)(36, 191)(37, 193)(38, 175)(39, 141)(40, 177)(41, 199)(42, 144)(43, 203)(44, 205)(45, 200)(46, 154)(47, 146)(48, 152)(49, 209)(50, 211)(51, 157)(52, 204)(53, 150)(54, 164)(55, 162)(56, 153)(57, 159)(58, 155)(59, 160)(60, 224)(61, 213)(62, 223)(63, 208)(64, 227)(65, 229)(66, 230)(67, 219)(68, 231)(69, 210)(70, 165)(71, 212)(72, 166)(73, 233)(74, 235)(75, 194)(76, 168)(77, 173)(78, 238)(79, 240)(80, 234)(81, 171)(82, 178)(83, 245)(84, 242)(85, 196)(86, 237)(87, 239)(88, 179)(89, 241)(90, 180)(91, 181)(92, 192)(93, 182)(94, 189)(95, 183)(96, 187)(97, 185)(98, 198)(99, 236)(100, 243)(101, 244)(102, 195)(103, 246)(104, 248)(105, 247)(106, 197)(107, 202)(108, 232)(109, 226)(110, 201)(111, 206)(112, 220)(113, 252)(114, 214)(115, 218)(116, 251)(117, 207)(118, 221)(119, 216)(120, 217)(121, 225)(122, 215)(123, 228)(124, 222)(125, 249)(126, 250)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E22.1530
Transitivity :: ET+ VT+
Graph::
	v = 21 e = 126 f = 63
	degree seq :: [ 12^21 ]

E22.1532 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C6 x (C7 : C3) (small group id <126, 10>)
Aut   = C6 x (C7 : C3) (small group id <126, 10>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2^2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, X1^-1 * X2^3 * X1^-1 * X2^3 * X1^-1, X2 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 ]
Map:: non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 41, 43)(21, 38, 50)(22, 30, 52)(23, 53, 54)(25, 42, 57)(27, 59, 61)(28, 62, 35)(34, 49, 68)(36, 69, 70)(37, 71, 72)(44, 76, 78)(45, 79, 46)(47, 81, 82)(48, 83, 84)(51, 85, 86)(55, 60, 93)(56, 94, 95)(58, 96, 97)(63, 92, 102)(64, 103, 105)(65, 106, 66)(67, 108, 109)(73, 77, 98)(74, 91, 115)(75, 116, 111)(80, 114, 119)(87, 104, 117)(88, 113, 89)(90, 112, 120)(99, 118, 100)(101, 107, 110)(121, 123, 125)(122, 124, 126)(127, 129, 135, 151, 141, 131)(128, 132, 143, 168, 147, 133)(130, 137, 156, 183, 160, 138)(134, 148, 177, 165, 159, 149)(136, 153, 186, 166, 189, 154)(139, 161, 182, 150, 181, 162)(140, 163, 142, 152, 184, 164)(144, 170, 203, 176, 206, 171)(145, 172, 200, 167, 199, 173)(146, 174, 155, 169, 201, 175)(157, 190, 230, 194, 233, 191)(158, 192, 214, 178, 213, 193)(179, 215, 247, 211, 235, 216)(180, 217, 185, 212, 207, 218)(187, 224, 250, 228, 205, 225)(188, 226, 231, 219, 248, 227)(195, 236, 210, 220, 229, 237)(196, 238, 197, 221, 249, 222)(198, 239, 202, 223, 234, 240)(204, 243, 252, 245, 232, 244)(208, 246, 209, 241, 251, 242)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E22.1533
Transitivity :: ET+
Graph:: simple bipartite
	v = 63 e = 126 f = 21
	degree seq :: [ 3^42, 6^21 ]

E22.1533 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C6 x (C7 : C3) (small group id <126, 10>)
Aut   = C6 x (C7 : C3) (small group id <126, 10>)
|r| :: 1
Presentation :: [ X2^3 * X1^3, X1^6, X2^3 * X1^-3, (X2^-1 * X1^-1)^3, X2^-1 * X1 * X2^-2 * X1 * X2 * X1 * X2^-1, X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X2 * X1^-1 * X2^-1 * X1^2 * X2^-1 * X1 * X2^-1 * X1^2 * X2^-1 * X1^-1 ]
Map:: non-degenerate
	R = (1, 127, 2, 128, 6, 132, 18, 144, 13, 139, 4, 130)(3, 129, 9, 135, 27, 153, 17, 143, 33, 159, 11, 137)(5, 131, 15, 141, 31, 157, 10, 136, 30, 156, 16, 142)(7, 133, 21, 147, 45, 171, 26, 152, 50, 176, 23, 149)(8, 134, 24, 150, 48, 174, 22, 148, 47, 173, 25, 151)(12, 138, 35, 161, 42, 168, 19, 145, 41, 167, 36, 162)(14, 140, 37, 163, 44, 170, 20, 146, 43, 169, 28, 154)(29, 155, 58, 184, 95, 221, 57, 183, 94, 220, 59, 185)(32, 158, 62, 188, 92, 218, 55, 181, 91, 217, 63, 189)(34, 160, 64, 190, 38, 164, 56, 182, 93, 219, 60, 186)(39, 165, 69, 195, 99, 225, 61, 187, 98, 224, 70, 196)(40, 166, 71, 197, 81, 207, 46, 172, 80, 206, 72, 198)(49, 175, 84, 210, 115, 241, 78, 204, 114, 240, 85, 211)(51, 177, 86, 212, 52, 178, 79, 205, 116, 242, 82, 208)(53, 179, 87, 213, 119, 245, 83, 209, 118, 244, 88, 214)(54, 180, 89, 215, 108, 234, 73, 199, 107, 233, 90, 216)(65, 191, 103, 229, 110, 236, 74, 200, 109, 235, 102, 228)(66, 192, 104, 230, 67, 193, 75, 201, 111, 237, 76, 202)(68, 194, 105, 231, 113, 239, 77, 203, 112, 238, 96, 222)(97, 223, 117, 243, 125, 251, 124, 250, 106, 232, 122, 248)(100, 226, 120, 246, 101, 227, 121, 247, 126, 252, 123, 249)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 145)(7, 148)(8, 128)(9, 154)(10, 144)(11, 158)(12, 146)(13, 152)(14, 130)(15, 164)(16, 166)(17, 131)(18, 143)(19, 140)(20, 132)(21, 142)(22, 139)(23, 175)(24, 178)(25, 180)(26, 134)(27, 181)(28, 183)(29, 135)(30, 186)(31, 172)(32, 182)(33, 170)(34, 137)(35, 174)(36, 191)(37, 193)(38, 187)(39, 141)(40, 176)(41, 151)(42, 200)(43, 202)(44, 155)(45, 204)(46, 147)(47, 208)(48, 199)(49, 205)(50, 157)(51, 149)(52, 209)(53, 150)(54, 161)(55, 160)(56, 153)(57, 159)(58, 222)(59, 213)(60, 165)(61, 156)(62, 221)(63, 212)(64, 227)(65, 201)(66, 162)(67, 203)(68, 163)(69, 229)(70, 232)(71, 225)(72, 231)(73, 167)(74, 192)(75, 168)(76, 194)(77, 169)(78, 177)(79, 171)(80, 196)(81, 238)(82, 179)(83, 173)(84, 198)(85, 237)(86, 247)(87, 188)(88, 248)(89, 245)(90, 195)(91, 185)(92, 242)(93, 249)(94, 239)(95, 244)(96, 250)(97, 184)(98, 235)(99, 243)(100, 189)(101, 236)(102, 190)(103, 234)(104, 246)(105, 240)(106, 197)(107, 214)(108, 224)(109, 216)(110, 219)(111, 252)(112, 210)(113, 223)(114, 207)(115, 230)(116, 226)(117, 206)(118, 217)(119, 251)(120, 211)(121, 218)(122, 215)(123, 228)(124, 220)(125, 233)(126, 241)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E22.1532
Transitivity :: ET+ VT+
Graph::
	v = 21 e = 126 f = 63
	degree seq :: [ 12^21 ]

E22.1534 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 9, 18})
Quotient :: halfedge
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-2, X2 * X1^-1 * X2 * X1 * X2 * X1^3 * X2 * X1^-3, X1 * X2 * X1^2 * X2 * X1^3 * X2 * X1^3 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 90, 71, 112, 125, 119, 67, 109, 89, 46, 22, 10, 4)(3, 7, 15, 31, 63, 117, 80, 41, 79, 110, 58, 28, 57, 108, 76, 38, 18, 8)(6, 13, 27, 55, 105, 72, 36, 17, 35, 69, 101, 52, 100, 124, 116, 62, 30, 14)(9, 19, 39, 77, 118, 122, 91, 84, 115, 68, 34, 16, 33, 66, 106, 82, 42, 20)(12, 25, 51, 98, 81, 113, 60, 29, 59, 32, 65, 95, 88, 121, 126, 104, 54, 26)(21, 43, 83, 111, 123, 93, 48, 92, 75, 114, 61, 40, 78, 96, 64, 99, 85, 44)(24, 49, 94, 74, 37, 73, 103, 53, 102, 56, 107, 87, 45, 86, 120, 70, 97, 50)
	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, 67)(34, 54)(35, 70)(36, 71)(38, 75)(39, 69)(42, 81)(43, 73)(44, 84)(46, 88)(47, 91)(49, 95)(50, 96)(51, 99)(55, 106)(57, 109)(58, 97)(59, 111)(60, 112)(62, 115)(63, 107)(65, 118)(66, 93)(68, 120)(72, 121)(74, 116)(76, 98)(77, 102)(78, 119)(79, 104)(80, 90)(82, 94)(83, 110)(85, 105)(86, 113)(87, 92)(89, 100)(101, 123)(103, 125)(108, 122)(114, 126)(117, 124)
	local type(s) :: { ( 9^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 7 e = 63 f = 14
	degree seq :: [ 18^7 ]

E22.1535 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 9, 18})
Quotient :: halfedge
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1^3 * X2 * X1^-3, X1^9, X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 42, 22, 10, 4)(3, 7, 15, 24, 44, 64, 37, 18, 8)(6, 13, 27, 43, 72, 41, 21, 30, 14)(9, 19, 26, 12, 25, 45, 70, 40, 20)(16, 32, 56, 73, 102, 63, 36, 59, 33)(17, 34, 55, 31, 54, 89, 100, 62, 35)(28, 49, 81, 108, 122, 88, 53, 84, 50)(29, 51, 80, 48, 79, 107, 71, 87, 52)(38, 65, 76, 46, 75, 106, 69, 103, 66)(39, 67, 78, 47, 77, 109, 74, 105, 68)(57, 93, 114, 126, 104, 120, 95, 113, 85)(58, 83, 111, 92, 116, 125, 101, 121, 94)(60, 96, 115, 90, 110, 124, 99, 119, 86)(61, 97, 118, 91, 112, 82, 117, 123, 98)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 36)(19, 38)(20, 39)(22, 37)(23, 43)(25, 46)(26, 47)(27, 48)(30, 53)(32, 57)(33, 58)(34, 60)(35, 61)(40, 69)(41, 71)(42, 70)(44, 73)(45, 74)(49, 82)(50, 83)(51, 85)(52, 86)(54, 90)(55, 91)(56, 92)(59, 95)(62, 99)(63, 101)(64, 100)(65, 96)(66, 94)(67, 97)(68, 104)(72, 108)(75, 110)(76, 111)(77, 112)(78, 113)(79, 114)(80, 115)(81, 116)(84, 118)(87, 120)(88, 121)(89, 117)(93, 109)(98, 122)(102, 126)(103, 119)(105, 123)(106, 125)(107, 124)
	local type(s) :: { ( 18^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 63 f = 7
	degree seq :: [ 9^14 ]

E22.1536 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ X1^2, X2^-2 * X1 * X2^3 * X1 * X2^-1, X2^9, X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 ]
Map::
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 33)(18, 26)(19, 38)(20, 39)(22, 30)(23, 43)(24, 45)(27, 50)(28, 51)(32, 57)(34, 61)(35, 62)(36, 64)(37, 58)(40, 69)(41, 71)(42, 70)(44, 75)(46, 79)(47, 80)(48, 82)(49, 76)(52, 87)(53, 89)(54, 88)(55, 91)(56, 77)(59, 74)(60, 84)(63, 100)(65, 83)(66, 78)(67, 85)(68, 104)(72, 108)(73, 109)(81, 118)(86, 122)(90, 126)(92, 112)(93, 120)(94, 110)(95, 117)(96, 115)(97, 114)(98, 116)(99, 113)(101, 119)(102, 111)(103, 121)(105, 123)(106, 125)(107, 124)(127, 129, 134, 144, 163, 168, 148, 136, 130)(128, 131, 138, 152, 175, 180, 156, 140, 132)(133, 141, 158, 184, 198, 167, 147, 160, 142)(135, 145, 162, 143, 161, 189, 196, 166, 146)(137, 149, 170, 202, 216, 179, 155, 172, 150)(139, 153, 174, 151, 173, 207, 214, 178, 154)(157, 181, 218, 234, 248, 223, 187, 219, 182)(159, 185, 221, 183, 220, 233, 197, 222, 186)(164, 191, 225, 188, 224, 232, 195, 229, 192)(165, 193, 228, 190, 227, 235, 226, 231, 194)(169, 199, 236, 252, 230, 241, 205, 237, 200)(171, 203, 239, 201, 238, 251, 215, 240, 204)(176, 209, 243, 206, 242, 250, 213, 247, 210)(177, 211, 246, 208, 245, 217, 244, 249, 212)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 36, 36 ), ( 36^9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 77 e = 126 f = 7
	degree seq :: [ 2^63, 9^14 ]

E22.1537 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-2 * X2^-1 * X1^2 * X2^-1 * X1^-2, X2^-1 * X1^2 * X2^-1 * X1^5, X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-3, X1^3 * X2^-6, X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^-2 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-3 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 40, 71, 34, 13, 4)(3, 9, 23, 41, 18, 45, 72, 29, 11)(5, 14, 35, 42, 80, 33, 51, 20, 7)(8, 21, 52, 78, 32, 12, 30, 44, 17)(10, 25, 61, 91, 58, 113, 90, 67, 27)(15, 38, 86, 64, 106, 50, 104, 83, 36)(19, 47, 97, 81, 37, 84, 79, 103, 49)(22, 55, 77, 100, 124, 95, 73, 109, 53)(24, 59, 96, 46, 70, 28, 68, 112, 57)(26, 63, 118, 119, 116, 87, 39, 89, 65)(31, 74, 94, 43, 92, 120, 107, 54, 76)(48, 99, 62, 117, 126, 110, 56, 66, 101)(60, 115, 85, 75, 102, 122, 93, 121, 98)(69, 105, 123, 111, 82, 108, 125, 114, 88)(127, 129, 136, 152, 190, 168, 142, 167, 217, 245, 230, 177, 160, 198, 216, 165, 141, 131)(128, 133, 145, 174, 226, 204, 166, 161, 207, 243, 199, 156, 139, 159, 205, 182, 148, 134)(130, 138, 157, 201, 172, 144, 132, 143, 169, 219, 194, 155, 197, 178, 233, 186, 150, 135)(137, 154, 195, 181, 236, 184, 149, 183, 237, 250, 227, 193, 171, 222, 251, 235, 188, 151)(140, 162, 208, 238, 248, 229, 206, 212, 240, 185, 224, 173, 146, 176, 231, 196, 211, 163)(147, 179, 234, 209, 244, 200, 158, 203, 214, 164, 213, 218, 170, 221, 249, 232, 191, 180)(153, 192, 210, 241, 246, 242, 187, 225, 175, 228, 202, 215, 239, 252, 223, 247, 220, 189)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 4^9 ), ( 4^18 ) }
Outer automorphisms :: chiral
Dual of E22.1539
Transitivity :: ET+
Graph:: bipartite
	v = 21 e = 126 f = 63
	degree seq :: [ 9^14, 18^7 ]

E22.1538 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 9, 18})
Quotient :: edge
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1, X1^-6 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1 * X2 * X1^3 * X2 * X1^4 * X2 * X1 ]
Map::
	R = (1, 2, 5, 11, 23, 47, 90, 71, 112, 125, 119, 67, 109, 89, 46, 22, 10, 4)(3, 7, 15, 31, 63, 117, 80, 41, 79, 110, 58, 28, 57, 108, 76, 38, 18, 8)(6, 13, 27, 55, 105, 72, 36, 17, 35, 69, 101, 52, 100, 124, 116, 62, 30, 14)(9, 19, 39, 77, 118, 122, 91, 84, 115, 68, 34, 16, 33, 66, 106, 82, 42, 20)(12, 25, 51, 98, 81, 113, 60, 29, 59, 32, 65, 95, 88, 121, 126, 104, 54, 26)(21, 43, 83, 111, 123, 93, 48, 92, 75, 114, 61, 40, 78, 96, 64, 99, 85, 44)(24, 49, 94, 74, 37, 73, 103, 53, 102, 56, 107, 87, 45, 86, 120, 70, 97, 50)(127, 129)(128, 132)(130, 135)(131, 138)(133, 142)(134, 143)(136, 147)(137, 150)(139, 154)(140, 155)(141, 158)(144, 163)(145, 166)(146, 167)(148, 171)(149, 174)(151, 178)(152, 179)(153, 182)(156, 187)(157, 190)(159, 193)(160, 180)(161, 196)(162, 197)(164, 201)(165, 195)(168, 207)(169, 199)(170, 210)(172, 214)(173, 217)(175, 221)(176, 222)(177, 225)(181, 232)(183, 235)(184, 223)(185, 237)(186, 238)(188, 241)(189, 233)(191, 244)(192, 219)(194, 246)(198, 247)(200, 242)(202, 224)(203, 228)(204, 245)(205, 230)(206, 216)(208, 220)(209, 236)(211, 231)(212, 239)(213, 218)(215, 226)(227, 249)(229, 251)(234, 248)(240, 252)(243, 250)
	L = (1, 127)(2, 128)(3, 129)(4, 130)(5, 131)(6, 132)(7, 133)(8, 134)(9, 135)(10, 136)(11, 137)(12, 138)(13, 139)(14, 140)(15, 141)(16, 142)(17, 143)(18, 144)(19, 145)(20, 146)(21, 147)(22, 148)(23, 149)(24, 150)(25, 151)(26, 152)(27, 153)(28, 154)(29, 155)(30, 156)(31, 157)(32, 158)(33, 159)(34, 160)(35, 161)(36, 162)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 169)(44, 170)(45, 171)(46, 172)(47, 173)(48, 174)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 181)(56, 182)(57, 183)(58, 184)(59, 185)(60, 186)(61, 187)(62, 188)(63, 189)(64, 190)(65, 191)(66, 192)(67, 193)(68, 194)(69, 195)(70, 196)(71, 197)(72, 198)(73, 199)(74, 200)(75, 201)(76, 202)(77, 203)(78, 204)(79, 205)(80, 206)(81, 207)(82, 208)(83, 209)(84, 210)(85, 211)(86, 212)(87, 213)(88, 214)(89, 215)(90, 216)(91, 217)(92, 218)(93, 219)(94, 220)(95, 221)(96, 222)(97, 223)(98, 224)(99, 225)(100, 226)(101, 227)(102, 228)(103, 229)(104, 230)(105, 231)(106, 232)(107, 233)(108, 234)(109, 235)(110, 236)(111, 237)(112, 238)(113, 239)(114, 240)(115, 241)(116, 242)(117, 243)(118, 244)(119, 245)(120, 246)(121, 247)(122, 248)(123, 249)(124, 250)(125, 251)(126, 252)
	local type(s) :: { ( 18, 18 ), ( 18^18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 126 f = 14
	degree seq :: [ 2^63, 18^7 ]

E22.1539 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ X1^2, X2^-2 * X1 * X2^3 * X1 * X2^-1, X2^9, X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 ]
Map:: polytopal non-degenerate
	R = (1, 127, 2, 128)(3, 129, 7, 133)(4, 130, 9, 135)(5, 131, 11, 137)(6, 132, 13, 139)(8, 134, 17, 143)(10, 136, 21, 147)(12, 138, 25, 151)(14, 140, 29, 155)(15, 141, 31, 157)(16, 142, 33, 159)(18, 144, 26, 152)(19, 145, 38, 164)(20, 146, 39, 165)(22, 148, 30, 156)(23, 149, 43, 169)(24, 150, 45, 171)(27, 153, 50, 176)(28, 154, 51, 177)(32, 158, 57, 183)(34, 160, 61, 187)(35, 161, 62, 188)(36, 162, 64, 190)(37, 163, 58, 184)(40, 166, 69, 195)(41, 167, 71, 197)(42, 168, 70, 196)(44, 170, 75, 201)(46, 172, 79, 205)(47, 173, 80, 206)(48, 174, 82, 208)(49, 175, 76, 202)(52, 178, 87, 213)(53, 179, 89, 215)(54, 180, 88, 214)(55, 181, 91, 217)(56, 182, 77, 203)(59, 185, 74, 200)(60, 186, 84, 210)(63, 189, 100, 226)(65, 191, 83, 209)(66, 192, 78, 204)(67, 193, 85, 211)(68, 194, 104, 230)(72, 198, 108, 234)(73, 199, 109, 235)(81, 207, 118, 244)(86, 212, 122, 248)(90, 216, 126, 252)(92, 218, 112, 238)(93, 219, 120, 246)(94, 220, 110, 236)(95, 221, 117, 243)(96, 222, 115, 241)(97, 223, 114, 240)(98, 224, 116, 242)(99, 225, 113, 239)(101, 227, 119, 245)(102, 228, 111, 237)(103, 229, 121, 247)(105, 231, 123, 249)(106, 232, 125, 251)(107, 233, 124, 250)
	L = (1, 129)(2, 131)(3, 134)(4, 127)(5, 138)(6, 128)(7, 141)(8, 144)(9, 145)(10, 130)(11, 149)(12, 152)(13, 153)(14, 132)(15, 158)(16, 133)(17, 161)(18, 163)(19, 162)(20, 135)(21, 160)(22, 136)(23, 170)(24, 137)(25, 173)(26, 175)(27, 174)(28, 139)(29, 172)(30, 140)(31, 181)(32, 184)(33, 185)(34, 142)(35, 189)(36, 143)(37, 168)(38, 191)(39, 193)(40, 146)(41, 147)(42, 148)(43, 199)(44, 202)(45, 203)(46, 150)(47, 207)(48, 151)(49, 180)(50, 209)(51, 211)(52, 154)(53, 155)(54, 156)(55, 218)(56, 157)(57, 220)(58, 198)(59, 221)(60, 159)(61, 219)(62, 224)(63, 196)(64, 227)(65, 225)(66, 164)(67, 228)(68, 165)(69, 229)(70, 166)(71, 222)(72, 167)(73, 236)(74, 169)(75, 238)(76, 216)(77, 239)(78, 171)(79, 237)(80, 242)(81, 214)(82, 245)(83, 243)(84, 176)(85, 246)(86, 177)(87, 247)(88, 178)(89, 240)(90, 179)(91, 244)(92, 234)(93, 182)(94, 233)(95, 183)(96, 186)(97, 187)(98, 232)(99, 188)(100, 231)(101, 235)(102, 190)(103, 192)(104, 241)(105, 194)(106, 195)(107, 197)(108, 248)(109, 226)(110, 252)(111, 200)(112, 251)(113, 201)(114, 204)(115, 205)(116, 250)(117, 206)(118, 249)(119, 217)(120, 208)(121, 210)(122, 223)(123, 212)(124, 213)(125, 215)(126, 230)
	local type(s) :: { ( 9, 18, 9, 18 ) }
Outer automorphisms :: chiral
Dual of E22.1537
Transitivity :: ET+ VT+
Graph:: simple
	v = 63 e = 126 f = 21
	degree seq :: [ 4^63 ]

E22.1540 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^-2 * X2^-1 * X1^2 * X2^-1 * X1^-2, X2^-1 * X1^2 * X2^-1 * X1^5, X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-3, X1^3 * X2^-6, X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^-2 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-3 * X1^-1 ]
Map::
	R = (1, 127, 2, 128, 6, 132, 16, 142, 40, 166, 71, 197, 34, 160, 13, 139, 4, 130)(3, 129, 9, 135, 23, 149, 41, 167, 18, 144, 45, 171, 72, 198, 29, 155, 11, 137)(5, 131, 14, 140, 35, 161, 42, 168, 80, 206, 33, 159, 51, 177, 20, 146, 7, 133)(8, 134, 21, 147, 52, 178, 78, 204, 32, 158, 12, 138, 30, 156, 44, 170, 17, 143)(10, 136, 25, 151, 61, 187, 91, 217, 58, 184, 113, 239, 90, 216, 67, 193, 27, 153)(15, 141, 38, 164, 86, 212, 64, 190, 106, 232, 50, 176, 104, 230, 83, 209, 36, 162)(19, 145, 47, 173, 97, 223, 81, 207, 37, 163, 84, 210, 79, 205, 103, 229, 49, 175)(22, 148, 55, 181, 77, 203, 100, 226, 124, 250, 95, 221, 73, 199, 109, 235, 53, 179)(24, 150, 59, 185, 96, 222, 46, 172, 70, 196, 28, 154, 68, 194, 112, 238, 57, 183)(26, 152, 63, 189, 118, 244, 119, 245, 116, 242, 87, 213, 39, 165, 89, 215, 65, 191)(31, 157, 74, 200, 94, 220, 43, 169, 92, 218, 120, 246, 107, 233, 54, 180, 76, 202)(48, 174, 99, 225, 62, 188, 117, 243, 126, 252, 110, 236, 56, 182, 66, 192, 101, 227)(60, 186, 115, 241, 85, 211, 75, 201, 102, 228, 122, 248, 93, 219, 121, 247, 98, 224)(69, 195, 105, 231, 123, 249, 111, 237, 82, 208, 108, 234, 125, 251, 114, 240, 88, 214)
	L = (1, 129)(2, 133)(3, 136)(4, 138)(5, 127)(6, 143)(7, 145)(8, 128)(9, 130)(10, 152)(11, 154)(12, 157)(13, 159)(14, 162)(15, 131)(16, 167)(17, 169)(18, 132)(19, 174)(20, 176)(21, 179)(22, 134)(23, 183)(24, 135)(25, 137)(26, 190)(27, 192)(28, 195)(29, 197)(30, 139)(31, 201)(32, 203)(33, 205)(34, 198)(35, 207)(36, 208)(37, 140)(38, 213)(39, 141)(40, 161)(41, 217)(42, 142)(43, 219)(44, 221)(45, 222)(46, 144)(47, 146)(48, 226)(49, 228)(50, 231)(51, 160)(52, 233)(53, 234)(54, 147)(55, 236)(56, 148)(57, 237)(58, 149)(59, 224)(60, 150)(61, 225)(62, 151)(63, 153)(64, 168)(65, 180)(66, 210)(67, 171)(68, 155)(69, 181)(70, 211)(71, 178)(72, 216)(73, 156)(74, 158)(75, 172)(76, 215)(77, 214)(78, 166)(79, 182)(80, 212)(81, 243)(82, 238)(83, 244)(84, 241)(85, 163)(86, 240)(87, 218)(88, 164)(89, 239)(90, 165)(91, 245)(92, 170)(93, 194)(94, 189)(95, 249)(96, 251)(97, 247)(98, 173)(99, 175)(100, 204)(101, 193)(102, 202)(103, 206)(104, 177)(105, 196)(106, 191)(107, 186)(108, 209)(109, 188)(110, 184)(111, 250)(112, 248)(113, 252)(114, 185)(115, 246)(116, 187)(117, 199)(118, 200)(119, 230)(120, 242)(121, 220)(122, 229)(123, 232)(124, 227)(125, 235)(126, 223)
	local type(s) :: { ( 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18, 2, 18 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 126 f = 70
	degree seq :: [ 18^14 ]

E22.1541 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 9, 18})
Quotient :: loop
Aut^+ = (C7 : C9) : C2 (small group id <126, 1>)
Aut   = (C7 : C9) : C2 (small group id <126, 1>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1, X1^-6 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, X1 * X2 * X1^3 * X2 * X1^4 * X2 * X1 ]
Map::
	R = (1, 127, 2, 128, 5, 131, 11, 137, 23, 149, 47, 173, 90, 216, 71, 197, 112, 238, 125, 251, 119, 245, 67, 193, 109, 235, 89, 215, 46, 172, 22, 148, 10, 136, 4, 130)(3, 129, 7, 133, 15, 141, 31, 157, 63, 189, 117, 243, 80, 206, 41, 167, 79, 205, 110, 236, 58, 184, 28, 154, 57, 183, 108, 234, 76, 202, 38, 164, 18, 144, 8, 134)(6, 132, 13, 139, 27, 153, 55, 181, 105, 231, 72, 198, 36, 162, 17, 143, 35, 161, 69, 195, 101, 227, 52, 178, 100, 226, 124, 250, 116, 242, 62, 188, 30, 156, 14, 140)(9, 135, 19, 145, 39, 165, 77, 203, 118, 244, 122, 248, 91, 217, 84, 210, 115, 241, 68, 194, 34, 160, 16, 142, 33, 159, 66, 192, 106, 232, 82, 208, 42, 168, 20, 146)(12, 138, 25, 151, 51, 177, 98, 224, 81, 207, 113, 239, 60, 186, 29, 155, 59, 185, 32, 158, 65, 191, 95, 221, 88, 214, 121, 247, 126, 252, 104, 230, 54, 180, 26, 152)(21, 147, 43, 169, 83, 209, 111, 237, 123, 249, 93, 219, 48, 174, 92, 218, 75, 201, 114, 240, 61, 187, 40, 166, 78, 204, 96, 222, 64, 190, 99, 225, 85, 211, 44, 170)(24, 150, 49, 175, 94, 220, 74, 200, 37, 163, 73, 199, 103, 229, 53, 179, 102, 228, 56, 182, 107, 233, 87, 213, 45, 171, 86, 212, 120, 246, 70, 196, 97, 223, 50, 176)
	L = (1, 129)(2, 132)(3, 127)(4, 135)(5, 138)(6, 128)(7, 142)(8, 143)(9, 130)(10, 147)(11, 150)(12, 131)(13, 154)(14, 155)(15, 158)(16, 133)(17, 134)(18, 163)(19, 166)(20, 167)(21, 136)(22, 171)(23, 174)(24, 137)(25, 178)(26, 179)(27, 182)(28, 139)(29, 140)(30, 187)(31, 190)(32, 141)(33, 193)(34, 180)(35, 196)(36, 197)(37, 144)(38, 201)(39, 195)(40, 145)(41, 146)(42, 207)(43, 199)(44, 210)(45, 148)(46, 214)(47, 217)(48, 149)(49, 221)(50, 222)(51, 225)(52, 151)(53, 152)(54, 160)(55, 232)(56, 153)(57, 235)(58, 223)(59, 237)(60, 238)(61, 156)(62, 241)(63, 233)(64, 157)(65, 244)(66, 219)(67, 159)(68, 246)(69, 165)(70, 161)(71, 162)(72, 247)(73, 169)(74, 242)(75, 164)(76, 224)(77, 228)(78, 245)(79, 230)(80, 216)(81, 168)(82, 220)(83, 236)(84, 170)(85, 231)(86, 239)(87, 218)(88, 172)(89, 226)(90, 206)(91, 173)(92, 213)(93, 192)(94, 208)(95, 175)(96, 176)(97, 184)(98, 202)(99, 177)(100, 215)(101, 249)(102, 203)(103, 251)(104, 205)(105, 211)(106, 181)(107, 189)(108, 248)(109, 183)(110, 209)(111, 185)(112, 186)(113, 212)(114, 252)(115, 188)(116, 200)(117, 250)(118, 191)(119, 204)(120, 194)(121, 198)(122, 234)(123, 227)(124, 243)(125, 229)(126, 240)
	local type(s) :: { ( 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 7 e = 126 f = 77
	degree seq :: [ 36^7 ]

E22.1542 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 66})
Quotient :: regular
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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^-4 * T2 * T1^8 * T2 * T1^-10 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 113, 125, 120, 108, 97, 84, 72, 61, 48, 32, 45, 34, 17, 29, 43, 56, 68, 80, 92, 104, 116, 128, 132, 131, 121, 109, 96, 85, 73, 60, 49, 33, 16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 118, 130, 124, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 107, 119, 126, 117, 103, 90, 81, 67, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 62, 74, 86, 98, 110, 122, 127, 114, 105, 91, 78, 69, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 111, 123, 129, 115, 102, 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, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 131)(123, 125)(124, 129)(127, 132)
	local type(s) :: { ( 6^66 ) }
Outer automorphisms :: reflexible
Dual of E22.1543
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 66 f = 22
	degree seq :: [ 66^2 ]

E22.1543 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 66})
Quotient :: regular
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * 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, (T1^-1 * T2)^66 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 52, 48, 54, 47, 53)(55, 91, 57, 95, 56, 93)(58, 97, 62, 109, 67, 100)(59, 101, 68, 108, 61, 103)(60, 104, 69, 122, 72, 106)(63, 112, 73, 119, 66, 114)(64, 110, 74, 117, 65, 98)(70, 124, 78, 128, 71, 126)(75, 132, 77, 127, 76, 125)(79, 130, 81, 118, 80, 113)(82, 129, 84, 105, 83, 123)(85, 120, 87, 99, 86, 111)(88, 107, 90, 102, 89, 121)(92, 116, 96, 115, 94, 131)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 65)(53, 74)(54, 64)(58, 98)(59, 95)(60, 103)(61, 91)(62, 110)(63, 97)(66, 100)(67, 117)(68, 93)(69, 101)(70, 104)(71, 106)(72, 108)(73, 109)(75, 112)(76, 114)(77, 119)(78, 122)(79, 124)(80, 126)(81, 128)(82, 132)(83, 125)(84, 127)(85, 130)(86, 113)(87, 118)(88, 129)(89, 123)(90, 105)(92, 120)(94, 111)(96, 99)(102, 115)(107, 116)(121, 131)
	local type(s) :: { ( 66^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1542
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 22 e = 66 f = 2
	degree seq :: [ 6^22 ]

E22.1544 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 66})
Quotient :: edge
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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 * 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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^66 ]
Map::
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 55, 51, 57, 50, 56)(52, 85, 54, 89, 53, 87)(58, 91, 61, 100, 63, 93)(59, 94, 65, 108, 67, 96)(60, 97, 69, 103, 62, 99)(64, 105, 73, 111, 66, 107)(68, 113, 71, 118, 70, 115)(72, 120, 75, 125, 74, 122)(76, 127, 78, 131, 77, 129)(79, 130, 81, 128, 80, 132)(82, 121, 84, 126, 83, 124)(86, 114, 90, 119, 88, 117)(92, 106, 101, 123, 104, 110)(95, 98, 109, 116, 112, 102)(133, 134)(135, 139)(136, 141)(137, 143)(138, 145)(140, 144)(142, 146)(147, 155)(148, 157)(149, 156)(150, 158)(151, 159)(152, 161)(153, 160)(154, 162)(163, 169)(164, 170)(165, 171)(166, 172)(167, 173)(168, 174)(175, 181)(176, 182)(177, 183)(178, 184)(179, 185)(180, 186)(187, 193)(188, 190)(189, 195)(191, 219)(192, 223)(194, 225)(196, 226)(197, 217)(198, 228)(199, 221)(200, 229)(201, 232)(202, 231)(203, 235)(204, 237)(205, 240)(206, 239)(207, 243)(208, 245)(209, 247)(210, 250)(211, 252)(212, 254)(213, 257)(214, 259)(215, 261)(216, 263)(218, 262)(220, 264)(222, 260)(224, 256)(227, 249)(230, 238)(233, 253)(234, 242)(236, 258)(241, 246)(244, 251)(248, 255)
	L = (1, 133)(2, 134)(3, 135)(4, 136)(5, 137)(6, 138)(7, 139)(8, 140)(9, 141)(10, 142)(11, 143)(12, 144)(13, 145)(14, 146)(15, 147)(16, 148)(17, 149)(18, 150)(19, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 156)(25, 157)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 183)(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, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 132, 132 ), ( 132^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1548
Transitivity :: ET+
Graph:: simple bipartite
	v = 88 e = 132 f = 2
	degree seq :: [ 2^66, 6^22 ]

E22.1545 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 66})
Quotient :: edge
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^3, (T2^-2 * T1)^2, T1 * T2^-22 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 121, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 132, 127, 115, 103, 91, 79, 67, 55, 43, 31, 20, 13, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 124, 112, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 104, 116, 128, 120, 108, 96, 84, 72, 60, 48, 36, 24, 11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 111, 123, 131, 119, 107, 95, 83, 71, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 62, 74, 86, 98, 110, 122, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22, 8)(133, 134, 138, 148, 145, 136)(135, 141, 149, 140, 153, 143)(137, 146, 150, 144, 152, 139)(142, 156, 161, 155, 165, 154)(147, 158, 162, 151, 163, 159)(157, 166, 173, 168, 177, 167)(160, 164, 174, 171, 175, 170)(169, 179, 185, 178, 189, 180)(172, 183, 186, 182, 187, 176)(181, 192, 197, 191, 201, 190)(184, 194, 198, 188, 199, 195)(193, 202, 209, 204, 213, 203)(196, 200, 210, 207, 211, 206)(205, 215, 221, 214, 225, 216)(208, 219, 222, 218, 223, 212)(217, 228, 233, 227, 237, 226)(220, 230, 234, 224, 235, 231)(229, 238, 245, 240, 249, 239)(232, 236, 246, 243, 247, 242)(241, 251, 257, 250, 261, 252)(244, 255, 258, 254, 259, 248)(253, 260, 264, 263, 256, 262)
	L = (1, 133)(2, 134)(3, 135)(4, 136)(5, 137)(6, 138)(7, 139)(8, 140)(9, 141)(10, 142)(11, 143)(12, 144)(13, 145)(14, 146)(15, 147)(16, 148)(17, 149)(18, 150)(19, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 156)(25, 157)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 183)(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, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 4^6 ), ( 4^66 ) }
Outer automorphisms :: reflexible
Dual of E22.1549
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 132 f = 66
	degree seq :: [ 6^22, 66^2 ]

E22.1546 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 66})
Quotient :: edge
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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^-4 * T2 * T1^8 * T2 * T1^-10 ]
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, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 131)(123, 125)(124, 129)(127, 132)(133, 134, 137, 143, 155, 171, 185, 197, 209, 221, 233, 245, 257, 252, 240, 229, 216, 204, 193, 180, 164, 177, 166, 149, 161, 175, 188, 200, 212, 224, 236, 248, 260, 264, 263, 253, 241, 228, 217, 205, 192, 181, 165, 148, 160, 174, 167, 178, 190, 202, 214, 226, 238, 250, 262, 256, 244, 232, 220, 208, 196, 184, 170, 154, 142, 136)(135, 139, 147, 163, 179, 191, 203, 215, 227, 239, 251, 258, 249, 235, 222, 213, 199, 186, 176, 158, 144, 157, 152, 141, 151, 168, 182, 194, 206, 218, 230, 242, 254, 259, 246, 237, 223, 210, 201, 187, 172, 162, 146, 138, 145, 159, 153, 169, 183, 195, 207, 219, 231, 243, 255, 261, 247, 234, 225, 211, 198, 189, 173, 156, 150, 140)
	L = (1, 133)(2, 134)(3, 135)(4, 136)(5, 137)(6, 138)(7, 139)(8, 140)(9, 141)(10, 142)(11, 143)(12, 144)(13, 145)(14, 146)(15, 147)(16, 148)(17, 149)(18, 150)(19, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 156)(25, 157)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 183)(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, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)
	local type(s) :: { ( 12, 12 ), ( 12^66 ) }
Outer automorphisms :: reflexible
Dual of E22.1547
Transitivity :: ET+
Graph:: simple bipartite
	v = 68 e = 132 f = 22
	degree seq :: [ 2^66, 66^2 ]

E22.1547 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 66})
Quotient :: loop
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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 * 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^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^66 ]
Map::
	R = (1, 133, 3, 135, 8, 140, 17, 149, 10, 142, 4, 136)(2, 134, 5, 137, 12, 144, 21, 153, 14, 146, 6, 138)(7, 139, 15, 147, 24, 156, 18, 150, 9, 141, 16, 148)(11, 143, 19, 151, 28, 160, 22, 154, 13, 145, 20, 152)(23, 155, 31, 163, 26, 158, 33, 165, 25, 157, 32, 164)(27, 159, 34, 166, 30, 162, 36, 168, 29, 161, 35, 167)(37, 169, 43, 175, 39, 171, 45, 177, 38, 170, 44, 176)(40, 172, 46, 178, 42, 174, 48, 180, 41, 173, 47, 179)(49, 181, 55, 187, 51, 183, 57, 189, 50, 182, 56, 188)(52, 184, 88, 220, 54, 186, 90, 222, 53, 185, 89, 221)(58, 190, 94, 226, 64, 196, 104, 236, 65, 197, 95, 227)(59, 191, 96, 228, 66, 198, 105, 237, 67, 199, 97, 229)(60, 192, 98, 230, 70, 202, 100, 232, 61, 193, 99, 231)(62, 194, 101, 233, 74, 206, 103, 235, 63, 195, 102, 234)(68, 200, 106, 238, 71, 203, 108, 240, 69, 201, 107, 239)(72, 204, 109, 241, 75, 207, 111, 243, 73, 205, 110, 242)(76, 208, 112, 244, 78, 210, 114, 246, 77, 209, 113, 245)(79, 211, 115, 247, 81, 213, 117, 249, 80, 212, 116, 248)(82, 214, 118, 250, 84, 216, 120, 252, 83, 215, 119, 251)(85, 217, 121, 253, 87, 219, 123, 255, 86, 218, 122, 254)(91, 223, 127, 259, 93, 225, 129, 261, 92, 224, 128, 260)(124, 256, 131, 263, 126, 258, 130, 262, 125, 257, 132, 264)
	L = (1, 134)(2, 133)(3, 139)(4, 141)(5, 143)(6, 145)(7, 135)(8, 144)(9, 136)(10, 146)(11, 137)(12, 140)(13, 138)(14, 142)(15, 155)(16, 157)(17, 156)(18, 158)(19, 159)(20, 161)(21, 160)(22, 162)(23, 147)(24, 149)(25, 148)(26, 150)(27, 151)(28, 153)(29, 152)(30, 154)(31, 169)(32, 170)(33, 171)(34, 172)(35, 173)(36, 174)(37, 163)(38, 164)(39, 165)(40, 166)(41, 167)(42, 168)(43, 181)(44, 182)(45, 183)(46, 184)(47, 185)(48, 186)(49, 175)(50, 176)(51, 177)(52, 178)(53, 179)(54, 180)(55, 199)(56, 198)(57, 191)(58, 222)(59, 189)(60, 228)(61, 229)(62, 226)(63, 227)(64, 221)(65, 220)(66, 188)(67, 187)(68, 230)(69, 231)(70, 237)(71, 232)(72, 233)(73, 234)(74, 236)(75, 235)(76, 238)(77, 239)(78, 240)(79, 241)(80, 242)(81, 243)(82, 244)(83, 245)(84, 246)(85, 247)(86, 248)(87, 249)(88, 197)(89, 196)(90, 190)(91, 250)(92, 251)(93, 252)(94, 194)(95, 195)(96, 192)(97, 193)(98, 200)(99, 201)(100, 203)(101, 204)(102, 205)(103, 207)(104, 206)(105, 202)(106, 208)(107, 209)(108, 210)(109, 211)(110, 212)(111, 213)(112, 214)(113, 215)(114, 216)(115, 217)(116, 218)(117, 219)(118, 223)(119, 224)(120, 225)(121, 256)(122, 257)(123, 258)(124, 253)(125, 254)(126, 255)(127, 263)(128, 264)(129, 262)(130, 261)(131, 259)(132, 260)
	local type(s) :: { ( 2, 66, 2, 66, 2, 66, 2, 66, 2, 66, 2, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1546
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 22 e = 132 f = 68
	degree seq :: [ 12^22 ]

E22.1548 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 66})
Quotient :: loop
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^3, (T2^-2 * T1)^2, T1 * T2^-22 * T1 ]
Map::
	R = (1, 133, 3, 135, 10, 142, 25, 157, 37, 169, 49, 181, 61, 193, 73, 205, 85, 217, 97, 229, 109, 241, 121, 253, 126, 258, 114, 246, 102, 234, 90, 222, 78, 210, 66, 198, 54, 186, 42, 174, 30, 162, 18, 150, 6, 138, 17, 149, 29, 161, 41, 173, 53, 185, 65, 197, 77, 209, 89, 221, 101, 233, 113, 245, 125, 257, 132, 264, 127, 259, 115, 247, 103, 235, 91, 223, 79, 211, 67, 199, 55, 187, 43, 175, 31, 163, 20, 152, 13, 145, 21, 153, 33, 165, 45, 177, 57, 189, 69, 201, 81, 213, 93, 225, 105, 237, 117, 249, 129, 261, 124, 256, 112, 244, 100, 232, 88, 220, 76, 208, 64, 196, 52, 184, 40, 172, 28, 160, 15, 147, 5, 137)(2, 134, 7, 139, 19, 151, 32, 164, 44, 176, 56, 188, 68, 200, 80, 212, 92, 224, 104, 236, 116, 248, 128, 260, 120, 252, 108, 240, 96, 228, 84, 216, 72, 204, 60, 192, 48, 180, 36, 168, 24, 156, 11, 143, 16, 148, 14, 146, 27, 159, 39, 171, 51, 183, 63, 195, 75, 207, 87, 219, 99, 231, 111, 243, 123, 255, 131, 263, 119, 251, 107, 239, 95, 227, 83, 215, 71, 203, 59, 191, 47, 179, 35, 167, 23, 155, 9, 141, 4, 136, 12, 144, 26, 158, 38, 170, 50, 182, 62, 194, 74, 206, 86, 218, 98, 230, 110, 242, 122, 254, 130, 262, 118, 250, 106, 238, 94, 226, 82, 214, 70, 202, 58, 190, 46, 178, 34, 166, 22, 154, 8, 140)
	L = (1, 134)(2, 138)(3, 141)(4, 133)(5, 146)(6, 148)(7, 137)(8, 153)(9, 149)(10, 156)(11, 135)(12, 152)(13, 136)(14, 150)(15, 158)(16, 145)(17, 140)(18, 144)(19, 163)(20, 139)(21, 143)(22, 142)(23, 165)(24, 161)(25, 166)(26, 162)(27, 147)(28, 164)(29, 155)(30, 151)(31, 159)(32, 174)(33, 154)(34, 173)(35, 157)(36, 177)(37, 179)(38, 160)(39, 175)(40, 183)(41, 168)(42, 171)(43, 170)(44, 172)(45, 167)(46, 189)(47, 185)(48, 169)(49, 192)(50, 187)(51, 186)(52, 194)(53, 178)(54, 182)(55, 176)(56, 199)(57, 180)(58, 181)(59, 201)(60, 197)(61, 202)(62, 198)(63, 184)(64, 200)(65, 191)(66, 188)(67, 195)(68, 210)(69, 190)(70, 209)(71, 193)(72, 213)(73, 215)(74, 196)(75, 211)(76, 219)(77, 204)(78, 207)(79, 206)(80, 208)(81, 203)(82, 225)(83, 221)(84, 205)(85, 228)(86, 223)(87, 222)(88, 230)(89, 214)(90, 218)(91, 212)(92, 235)(93, 216)(94, 217)(95, 237)(96, 233)(97, 238)(98, 234)(99, 220)(100, 236)(101, 227)(102, 224)(103, 231)(104, 246)(105, 226)(106, 245)(107, 229)(108, 249)(109, 251)(110, 232)(111, 247)(112, 255)(113, 240)(114, 243)(115, 242)(116, 244)(117, 239)(118, 261)(119, 257)(120, 241)(121, 260)(122, 259)(123, 258)(124, 262)(125, 250)(126, 254)(127, 248)(128, 264)(129, 252)(130, 253)(131, 256)(132, 263)
	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, 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 E22.1544
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 132 f = 88
	degree seq :: [ 132^2 ]

E22.1549 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 66})
Quotient :: loop
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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^-4 * T2 * T1^8 * T2 * T1^-10 ]
Map:: polytopal non-degenerate
	R = (1, 133, 3, 135)(2, 134, 6, 138)(4, 136, 9, 141)(5, 137, 12, 144)(7, 139, 16, 148)(8, 140, 17, 149)(10, 142, 21, 153)(11, 143, 24, 156)(13, 145, 28, 160)(14, 146, 29, 161)(15, 147, 32, 164)(18, 150, 35, 167)(19, 151, 33, 165)(20, 152, 34, 166)(22, 154, 31, 163)(23, 155, 40, 172)(25, 157, 42, 174)(26, 158, 43, 175)(27, 159, 45, 177)(30, 162, 46, 178)(36, 168, 48, 180)(37, 169, 49, 181)(38, 170, 50, 182)(39, 171, 54, 186)(41, 173, 56, 188)(44, 176, 58, 190)(47, 179, 60, 192)(51, 183, 61, 193)(52, 184, 63, 195)(53, 185, 66, 198)(55, 187, 68, 200)(57, 189, 70, 202)(59, 191, 72, 204)(62, 194, 73, 205)(64, 196, 71, 203)(65, 197, 78, 210)(67, 199, 80, 212)(69, 201, 82, 214)(74, 206, 84, 216)(75, 207, 85, 217)(76, 208, 86, 218)(77, 209, 90, 222)(79, 211, 92, 224)(81, 213, 94, 226)(83, 215, 96, 228)(87, 219, 97, 229)(88, 220, 99, 231)(89, 221, 102, 234)(91, 223, 104, 236)(93, 225, 106, 238)(95, 227, 108, 240)(98, 230, 109, 241)(100, 232, 107, 239)(101, 233, 114, 246)(103, 235, 116, 248)(105, 237, 118, 250)(110, 242, 120, 252)(111, 243, 121, 253)(112, 244, 122, 254)(113, 245, 126, 258)(115, 247, 128, 260)(117, 249, 130, 262)(119, 251, 131, 263)(123, 255, 125, 257)(124, 256, 129, 261)(127, 259, 132, 264)
	L = (1, 134)(2, 137)(3, 139)(4, 133)(5, 143)(6, 145)(7, 147)(8, 135)(9, 151)(10, 136)(11, 155)(12, 157)(13, 159)(14, 138)(15, 163)(16, 160)(17, 161)(18, 140)(19, 168)(20, 141)(21, 169)(22, 142)(23, 171)(24, 150)(25, 152)(26, 144)(27, 153)(28, 174)(29, 175)(30, 146)(31, 179)(32, 177)(33, 148)(34, 149)(35, 178)(36, 182)(37, 183)(38, 154)(39, 185)(40, 162)(41, 156)(42, 167)(43, 188)(44, 158)(45, 166)(46, 190)(47, 191)(48, 164)(49, 165)(50, 194)(51, 195)(52, 170)(53, 197)(54, 176)(55, 172)(56, 200)(57, 173)(58, 202)(59, 203)(60, 181)(61, 180)(62, 206)(63, 207)(64, 184)(65, 209)(66, 189)(67, 186)(68, 212)(69, 187)(70, 214)(71, 215)(72, 193)(73, 192)(74, 218)(75, 219)(76, 196)(77, 221)(78, 201)(79, 198)(80, 224)(81, 199)(82, 226)(83, 227)(84, 204)(85, 205)(86, 230)(87, 231)(88, 208)(89, 233)(90, 213)(91, 210)(92, 236)(93, 211)(94, 238)(95, 239)(96, 217)(97, 216)(98, 242)(99, 243)(100, 220)(101, 245)(102, 225)(103, 222)(104, 248)(105, 223)(106, 250)(107, 251)(108, 229)(109, 228)(110, 254)(111, 255)(112, 232)(113, 257)(114, 237)(115, 234)(116, 260)(117, 235)(118, 262)(119, 258)(120, 240)(121, 241)(122, 259)(123, 261)(124, 244)(125, 252)(126, 249)(127, 246)(128, 264)(129, 247)(130, 256)(131, 253)(132, 263)
	local type(s) :: { ( 6, 66, 6, 66 ) }
Outer automorphisms :: reflexible
Dual of E22.1545
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 66 e = 132 f = 24
	degree seq :: [ 4^66 ]

E22.1550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 66})
Quotient :: dipole
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * 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^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^66 ]
Map::
	R = (1, 133, 2, 134)(3, 135, 7, 139)(4, 136, 9, 141)(5, 137, 11, 143)(6, 138, 13, 145)(8, 140, 12, 144)(10, 142, 14, 146)(15, 147, 23, 155)(16, 148, 25, 157)(17, 149, 24, 156)(18, 150, 26, 158)(19, 151, 27, 159)(20, 152, 29, 161)(21, 153, 28, 160)(22, 154, 30, 162)(31, 163, 37, 169)(32, 164, 38, 170)(33, 165, 39, 171)(34, 166, 40, 172)(35, 167, 41, 173)(36, 168, 42, 174)(43, 175, 49, 181)(44, 176, 50, 182)(45, 177, 51, 183)(46, 178, 52, 184)(47, 179, 53, 185)(48, 180, 54, 186)(55, 187, 58, 190)(56, 188, 63, 195)(57, 189, 61, 193)(59, 191, 85, 217)(60, 192, 91, 223)(62, 194, 93, 225)(64, 196, 94, 226)(65, 197, 89, 221)(66, 198, 96, 228)(67, 199, 87, 219)(68, 200, 97, 229)(69, 201, 100, 232)(70, 202, 99, 231)(71, 203, 103, 235)(72, 204, 105, 237)(73, 205, 108, 240)(74, 206, 107, 239)(75, 207, 111, 243)(76, 208, 113, 245)(77, 209, 115, 247)(78, 210, 118, 250)(79, 211, 120, 252)(80, 212, 122, 254)(81, 213, 125, 257)(82, 214, 127, 259)(83, 215, 129, 261)(84, 216, 131, 263)(86, 218, 132, 264)(88, 220, 128, 260)(90, 222, 130, 262)(92, 224, 124, 256)(95, 227, 117, 249)(98, 230, 106, 238)(101, 233, 121, 253)(102, 234, 110, 242)(104, 236, 126, 258)(109, 241, 114, 246)(112, 244, 119, 251)(116, 248, 123, 255)(265, 397, 267, 399, 272, 404, 281, 413, 274, 406, 268, 400)(266, 398, 269, 401, 276, 408, 285, 417, 278, 410, 270, 402)(271, 403, 279, 411, 288, 420, 282, 414, 273, 405, 280, 412)(275, 407, 283, 415, 292, 424, 286, 418, 277, 409, 284, 416)(287, 419, 295, 427, 290, 422, 297, 429, 289, 421, 296, 428)(291, 423, 298, 430, 294, 426, 300, 432, 293, 425, 299, 431)(301, 433, 307, 439, 303, 435, 309, 441, 302, 434, 308, 440)(304, 436, 310, 442, 306, 438, 312, 444, 305, 437, 311, 443)(313, 445, 319, 451, 315, 447, 321, 453, 314, 446, 320, 452)(316, 448, 349, 481, 318, 450, 353, 485, 317, 449, 351, 483)(322, 454, 355, 487, 325, 457, 364, 496, 327, 459, 357, 489)(323, 455, 358, 490, 329, 461, 372, 504, 331, 463, 360, 492)(324, 456, 361, 493, 333, 465, 367, 499, 326, 458, 363, 495)(328, 460, 369, 501, 337, 469, 375, 507, 330, 462, 371, 503)(332, 464, 377, 509, 335, 467, 382, 514, 334, 466, 379, 511)(336, 468, 384, 516, 339, 471, 389, 521, 338, 470, 386, 518)(340, 472, 391, 523, 342, 474, 395, 527, 341, 473, 393, 525)(343, 475, 396, 528, 345, 477, 394, 526, 344, 476, 392, 524)(346, 478, 388, 520, 348, 480, 385, 517, 347, 479, 390, 522)(350, 482, 381, 513, 354, 486, 378, 510, 352, 484, 383, 515)(356, 488, 370, 502, 365, 497, 387, 519, 368, 500, 374, 506)(359, 491, 362, 494, 373, 505, 380, 512, 376, 508, 366, 498)
	L = (1, 266)(2, 265)(3, 271)(4, 273)(5, 275)(6, 277)(7, 267)(8, 276)(9, 268)(10, 278)(11, 269)(12, 272)(13, 270)(14, 274)(15, 287)(16, 289)(17, 288)(18, 290)(19, 291)(20, 293)(21, 292)(22, 294)(23, 279)(24, 281)(25, 280)(26, 282)(27, 283)(28, 285)(29, 284)(30, 286)(31, 301)(32, 302)(33, 303)(34, 304)(35, 305)(36, 306)(37, 295)(38, 296)(39, 297)(40, 298)(41, 299)(42, 300)(43, 313)(44, 314)(45, 315)(46, 316)(47, 317)(48, 318)(49, 307)(50, 308)(51, 309)(52, 310)(53, 311)(54, 312)(55, 322)(56, 327)(57, 325)(58, 319)(59, 349)(60, 355)(61, 321)(62, 357)(63, 320)(64, 358)(65, 353)(66, 360)(67, 351)(68, 361)(69, 364)(70, 363)(71, 367)(72, 369)(73, 372)(74, 371)(75, 375)(76, 377)(77, 379)(78, 382)(79, 384)(80, 386)(81, 389)(82, 391)(83, 393)(84, 395)(85, 323)(86, 396)(87, 331)(88, 392)(89, 329)(90, 394)(91, 324)(92, 388)(93, 326)(94, 328)(95, 381)(96, 330)(97, 332)(98, 370)(99, 334)(100, 333)(101, 385)(102, 374)(103, 335)(104, 390)(105, 336)(106, 362)(107, 338)(108, 337)(109, 378)(110, 366)(111, 339)(112, 383)(113, 340)(114, 373)(115, 341)(116, 387)(117, 359)(118, 342)(119, 376)(120, 343)(121, 365)(122, 344)(123, 380)(124, 356)(125, 345)(126, 368)(127, 346)(128, 352)(129, 347)(130, 354)(131, 348)(132, 350)(133, 397)(134, 398)(135, 399)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(145, 409)(146, 410)(147, 411)(148, 412)(149, 413)(150, 414)(151, 415)(152, 416)(153, 417)(154, 418)(155, 419)(156, 420)(157, 421)(158, 422)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 429)(166, 430)(167, 431)(168, 432)(169, 433)(170, 434)(171, 435)(172, 436)(173, 437)(174, 438)(175, 439)(176, 440)(177, 441)(178, 442)(179, 443)(180, 444)(181, 445)(182, 446)(183, 447)(184, 448)(185, 449)(186, 450)(187, 451)(188, 452)(189, 453)(190, 454)(191, 455)(192, 456)(193, 457)(194, 458)(195, 459)(196, 460)(197, 461)(198, 462)(199, 463)(200, 464)(201, 465)(202, 466)(203, 467)(204, 468)(205, 469)(206, 470)(207, 471)(208, 472)(209, 473)(210, 474)(211, 475)(212, 476)(213, 477)(214, 478)(215, 479)(216, 480)(217, 481)(218, 482)(219, 483)(220, 484)(221, 485)(222, 486)(223, 487)(224, 488)(225, 489)(226, 490)(227, 491)(228, 492)(229, 493)(230, 494)(231, 495)(232, 496)(233, 497)(234, 498)(235, 499)(236, 500)(237, 501)(238, 502)(239, 503)(240, 504)(241, 505)(242, 506)(243, 507)(244, 508)(245, 509)(246, 510)(247, 511)(248, 512)(249, 513)(250, 514)(251, 515)(252, 516)(253, 517)(254, 518)(255, 519)(256, 520)(257, 521)(258, 522)(259, 523)(260, 524)(261, 525)(262, 526)(263, 527)(264, 528)
	local type(s) :: { ( 2, 132, 2, 132 ), ( 2, 132, 2, 132, 2, 132, 2, 132, 2, 132, 2, 132 ) }
Outer automorphisms :: reflexible
Dual of E22.1553
Graph:: bipartite
	v = 88 e = 264 f = 134
	degree seq :: [ 4^66, 12^22 ]

E22.1551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 66})
Quotient :: dipole
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, (Y2^-2 * Y1)^2, Y1^6, Y1 * Y2^-22 * Y1 ]
Map::
	R = (1, 133, 2, 134, 6, 138, 16, 148, 13, 145, 4, 136)(3, 135, 9, 141, 17, 149, 8, 140, 21, 153, 11, 143)(5, 137, 14, 146, 18, 150, 12, 144, 20, 152, 7, 139)(10, 142, 24, 156, 29, 161, 23, 155, 33, 165, 22, 154)(15, 147, 26, 158, 30, 162, 19, 151, 31, 163, 27, 159)(25, 157, 34, 166, 41, 173, 36, 168, 45, 177, 35, 167)(28, 160, 32, 164, 42, 174, 39, 171, 43, 175, 38, 170)(37, 169, 47, 179, 53, 185, 46, 178, 57, 189, 48, 180)(40, 172, 51, 183, 54, 186, 50, 182, 55, 187, 44, 176)(49, 181, 60, 192, 65, 197, 59, 191, 69, 201, 58, 190)(52, 184, 62, 194, 66, 198, 56, 188, 67, 199, 63, 195)(61, 193, 70, 202, 77, 209, 72, 204, 81, 213, 71, 203)(64, 196, 68, 200, 78, 210, 75, 207, 79, 211, 74, 206)(73, 205, 83, 215, 89, 221, 82, 214, 93, 225, 84, 216)(76, 208, 87, 219, 90, 222, 86, 218, 91, 223, 80, 212)(85, 217, 96, 228, 101, 233, 95, 227, 105, 237, 94, 226)(88, 220, 98, 230, 102, 234, 92, 224, 103, 235, 99, 231)(97, 229, 106, 238, 113, 245, 108, 240, 117, 249, 107, 239)(100, 232, 104, 236, 114, 246, 111, 243, 115, 247, 110, 242)(109, 241, 119, 251, 125, 257, 118, 250, 129, 261, 120, 252)(112, 244, 123, 255, 126, 258, 122, 254, 127, 259, 116, 248)(121, 253, 128, 260, 132, 264, 131, 263, 124, 256, 130, 262)(265, 397, 267, 399, 274, 406, 289, 421, 301, 433, 313, 445, 325, 457, 337, 469, 349, 481, 361, 493, 373, 505, 385, 517, 390, 522, 378, 510, 366, 498, 354, 486, 342, 474, 330, 462, 318, 450, 306, 438, 294, 426, 282, 414, 270, 402, 281, 413, 293, 425, 305, 437, 317, 449, 329, 461, 341, 473, 353, 485, 365, 497, 377, 509, 389, 521, 396, 528, 391, 523, 379, 511, 367, 499, 355, 487, 343, 475, 331, 463, 319, 451, 307, 439, 295, 427, 284, 416, 277, 409, 285, 417, 297, 429, 309, 441, 321, 453, 333, 465, 345, 477, 357, 489, 369, 501, 381, 513, 393, 525, 388, 520, 376, 508, 364, 496, 352, 484, 340, 472, 328, 460, 316, 448, 304, 436, 292, 424, 279, 411, 269, 401)(266, 398, 271, 403, 283, 415, 296, 428, 308, 440, 320, 452, 332, 464, 344, 476, 356, 488, 368, 500, 380, 512, 392, 524, 384, 516, 372, 504, 360, 492, 348, 480, 336, 468, 324, 456, 312, 444, 300, 432, 288, 420, 275, 407, 280, 412, 278, 410, 291, 423, 303, 435, 315, 447, 327, 459, 339, 471, 351, 483, 363, 495, 375, 507, 387, 519, 395, 527, 383, 515, 371, 503, 359, 491, 347, 479, 335, 467, 323, 455, 311, 443, 299, 431, 287, 419, 273, 405, 268, 400, 276, 408, 290, 422, 302, 434, 314, 446, 326, 458, 338, 470, 350, 482, 362, 494, 374, 506, 386, 518, 394, 526, 382, 514, 370, 502, 358, 490, 346, 478, 334, 466, 322, 454, 310, 442, 298, 430, 286, 418, 272, 404)
	L = (1, 267)(2, 271)(3, 274)(4, 276)(5, 265)(6, 281)(7, 283)(8, 266)(9, 268)(10, 289)(11, 280)(12, 290)(13, 285)(14, 291)(15, 269)(16, 278)(17, 293)(18, 270)(19, 296)(20, 277)(21, 297)(22, 272)(23, 273)(24, 275)(25, 301)(26, 302)(27, 303)(28, 279)(29, 305)(30, 282)(31, 284)(32, 308)(33, 309)(34, 286)(35, 287)(36, 288)(37, 313)(38, 314)(39, 315)(40, 292)(41, 317)(42, 294)(43, 295)(44, 320)(45, 321)(46, 298)(47, 299)(48, 300)(49, 325)(50, 326)(51, 327)(52, 304)(53, 329)(54, 306)(55, 307)(56, 332)(57, 333)(58, 310)(59, 311)(60, 312)(61, 337)(62, 338)(63, 339)(64, 316)(65, 341)(66, 318)(67, 319)(68, 344)(69, 345)(70, 322)(71, 323)(72, 324)(73, 349)(74, 350)(75, 351)(76, 328)(77, 353)(78, 330)(79, 331)(80, 356)(81, 357)(82, 334)(83, 335)(84, 336)(85, 361)(86, 362)(87, 363)(88, 340)(89, 365)(90, 342)(91, 343)(92, 368)(93, 369)(94, 346)(95, 347)(96, 348)(97, 373)(98, 374)(99, 375)(100, 352)(101, 377)(102, 354)(103, 355)(104, 380)(105, 381)(106, 358)(107, 359)(108, 360)(109, 385)(110, 386)(111, 387)(112, 364)(113, 389)(114, 366)(115, 367)(116, 392)(117, 393)(118, 370)(119, 371)(120, 372)(121, 390)(122, 394)(123, 395)(124, 376)(125, 396)(126, 378)(127, 379)(128, 384)(129, 388)(130, 382)(131, 383)(132, 391)(133, 397)(134, 398)(135, 399)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(145, 409)(146, 410)(147, 411)(148, 412)(149, 413)(150, 414)(151, 415)(152, 416)(153, 417)(154, 418)(155, 419)(156, 420)(157, 421)(158, 422)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 429)(166, 430)(167, 431)(168, 432)(169, 433)(170, 434)(171, 435)(172, 436)(173, 437)(174, 438)(175, 439)(176, 440)(177, 441)(178, 442)(179, 443)(180, 444)(181, 445)(182, 446)(183, 447)(184, 448)(185, 449)(186, 450)(187, 451)(188, 452)(189, 453)(190, 454)(191, 455)(192, 456)(193, 457)(194, 458)(195, 459)(196, 460)(197, 461)(198, 462)(199, 463)(200, 464)(201, 465)(202, 466)(203, 467)(204, 468)(205, 469)(206, 470)(207, 471)(208, 472)(209, 473)(210, 474)(211, 475)(212, 476)(213, 477)(214, 478)(215, 479)(216, 480)(217, 481)(218, 482)(219, 483)(220, 484)(221, 485)(222, 486)(223, 487)(224, 488)(225, 489)(226, 490)(227, 491)(228, 492)(229, 493)(230, 494)(231, 495)(232, 496)(233, 497)(234, 498)(235, 499)(236, 500)(237, 501)(238, 502)(239, 503)(240, 504)(241, 505)(242, 506)(243, 507)(244, 508)(245, 509)(246, 510)(247, 511)(248, 512)(249, 513)(250, 514)(251, 515)(252, 516)(253, 517)(254, 518)(255, 519)(256, 520)(257, 521)(258, 522)(259, 523)(260, 524)(261, 525)(262, 526)(263, 527)(264, 528)
	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 E22.1552
Graph:: bipartite
	v = 24 e = 264 f = 198
	degree seq :: [ 12^22, 132^2 ]

E22.1552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 66})
Quotient :: dipole
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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, Y3^5 * Y2 * Y3^-17 * Y2, (Y3^-1 * Y1^-1)^66 ]
Map:: polytopal
	R = (1, 133)(2, 134)(3, 135)(4, 136)(5, 137)(6, 138)(7, 139)(8, 140)(9, 141)(10, 142)(11, 143)(12, 144)(13, 145)(14, 146)(15, 147)(16, 148)(17, 149)(18, 150)(19, 151)(20, 152)(21, 153)(22, 154)(23, 155)(24, 156)(25, 157)(26, 158)(27, 159)(28, 160)(29, 161)(30, 162)(31, 163)(32, 164)(33, 165)(34, 166)(35, 167)(36, 168)(37, 169)(38, 170)(39, 171)(40, 172)(41, 173)(42, 174)(43, 175)(44, 176)(45, 177)(46, 178)(47, 179)(48, 180)(49, 181)(50, 182)(51, 183)(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, 205)(74, 206)(75, 207)(76, 208)(77, 209)(78, 210)(79, 211)(80, 212)(81, 213)(82, 214)(83, 215)(84, 216)(85, 217)(86, 218)(87, 219)(88, 220)(89, 221)(90, 222)(91, 223)(92, 224)(93, 225)(94, 226)(95, 227)(96, 228)(97, 229)(98, 230)(99, 231)(100, 232)(101, 233)(102, 234)(103, 235)(104, 236)(105, 237)(106, 238)(107, 239)(108, 240)(109, 241)(110, 242)(111, 243)(112, 244)(113, 245)(114, 246)(115, 247)(116, 248)(117, 249)(118, 250)(119, 251)(120, 252)(121, 253)(122, 254)(123, 255)(124, 256)(125, 257)(126, 258)(127, 259)(128, 260)(129, 261)(130, 262)(131, 263)(132, 264)(265, 397, 266, 398)(267, 399, 271, 403)(268, 400, 273, 405)(269, 401, 275, 407)(270, 402, 277, 409)(272, 404, 281, 413)(274, 406, 285, 417)(276, 408, 289, 421)(278, 410, 293, 425)(279, 411, 287, 419)(280, 412, 291, 423)(282, 414, 294, 426)(283, 415, 288, 420)(284, 416, 292, 424)(286, 418, 290, 422)(295, 427, 305, 437)(296, 428, 309, 441)(297, 429, 303, 435)(298, 430, 308, 440)(299, 431, 311, 443)(300, 432, 306, 438)(301, 433, 304, 436)(302, 434, 314, 446)(307, 439, 317, 449)(310, 442, 320, 452)(312, 444, 321, 453)(313, 445, 324, 456)(315, 447, 318, 450)(316, 448, 327, 459)(319, 451, 330, 462)(322, 454, 333, 465)(323, 455, 332, 464)(325, 457, 334, 466)(326, 458, 329, 461)(328, 460, 331, 463)(335, 467, 345, 477)(336, 468, 344, 476)(337, 469, 347, 479)(338, 470, 342, 474)(339, 471, 341, 473)(340, 472, 350, 482)(343, 475, 353, 485)(346, 478, 356, 488)(348, 480, 357, 489)(349, 481, 360, 492)(351, 483, 354, 486)(352, 484, 363, 495)(355, 487, 366, 498)(358, 490, 369, 501)(359, 491, 368, 500)(361, 493, 370, 502)(362, 494, 365, 497)(364, 496, 367, 499)(371, 503, 381, 513)(372, 504, 380, 512)(373, 505, 383, 515)(374, 506, 378, 510)(375, 507, 377, 509)(376, 508, 386, 518)(379, 511, 389, 521)(382, 514, 392, 524)(384, 516, 393, 525)(385, 517, 391, 523)(387, 519, 390, 522)(388, 520, 394, 526)(395, 527, 396, 528)
	L = (1, 267)(2, 269)(3, 272)(4, 265)(5, 276)(6, 266)(7, 279)(8, 282)(9, 283)(10, 268)(11, 287)(12, 290)(13, 291)(14, 270)(15, 295)(16, 271)(17, 297)(18, 299)(19, 300)(20, 273)(21, 301)(22, 274)(23, 303)(24, 275)(25, 305)(26, 307)(27, 308)(28, 277)(29, 309)(30, 278)(31, 285)(32, 280)(33, 284)(34, 281)(35, 313)(36, 314)(37, 315)(38, 286)(39, 293)(40, 288)(41, 292)(42, 289)(43, 319)(44, 320)(45, 321)(46, 294)(47, 296)(48, 298)(49, 325)(50, 326)(51, 327)(52, 302)(53, 304)(54, 306)(55, 331)(56, 332)(57, 333)(58, 310)(59, 311)(60, 312)(61, 337)(62, 338)(63, 339)(64, 316)(65, 317)(66, 318)(67, 343)(68, 344)(69, 345)(70, 322)(71, 323)(72, 324)(73, 349)(74, 350)(75, 351)(76, 328)(77, 329)(78, 330)(79, 355)(80, 356)(81, 357)(82, 334)(83, 335)(84, 336)(85, 361)(86, 362)(87, 363)(88, 340)(89, 341)(90, 342)(91, 367)(92, 368)(93, 369)(94, 346)(95, 347)(96, 348)(97, 373)(98, 374)(99, 375)(100, 352)(101, 353)(102, 354)(103, 379)(104, 380)(105, 381)(106, 358)(107, 359)(108, 360)(109, 385)(110, 386)(111, 387)(112, 364)(113, 365)(114, 366)(115, 391)(116, 392)(117, 393)(118, 370)(119, 371)(120, 372)(121, 390)(122, 395)(123, 394)(124, 376)(125, 377)(126, 378)(127, 384)(128, 396)(129, 388)(130, 382)(131, 383)(132, 389)(133, 397)(134, 398)(135, 399)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(145, 409)(146, 410)(147, 411)(148, 412)(149, 413)(150, 414)(151, 415)(152, 416)(153, 417)(154, 418)(155, 419)(156, 420)(157, 421)(158, 422)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 429)(166, 430)(167, 431)(168, 432)(169, 433)(170, 434)(171, 435)(172, 436)(173, 437)(174, 438)(175, 439)(176, 440)(177, 441)(178, 442)(179, 443)(180, 444)(181, 445)(182, 446)(183, 447)(184, 448)(185, 449)(186, 450)(187, 451)(188, 452)(189, 453)(190, 454)(191, 455)(192, 456)(193, 457)(194, 458)(195, 459)(196, 460)(197, 461)(198, 462)(199, 463)(200, 464)(201, 465)(202, 466)(203, 467)(204, 468)(205, 469)(206, 470)(207, 471)(208, 472)(209, 473)(210, 474)(211, 475)(212, 476)(213, 477)(214, 478)(215, 479)(216, 480)(217, 481)(218, 482)(219, 483)(220, 484)(221, 485)(222, 486)(223, 487)(224, 488)(225, 489)(226, 490)(227, 491)(228, 492)(229, 493)(230, 494)(231, 495)(232, 496)(233, 497)(234, 498)(235, 499)(236, 500)(237, 501)(238, 502)(239, 503)(240, 504)(241, 505)(242, 506)(243, 507)(244, 508)(245, 509)(246, 510)(247, 511)(248, 512)(249, 513)(250, 514)(251, 515)(252, 516)(253, 517)(254, 518)(255, 519)(256, 520)(257, 521)(258, 522)(259, 523)(260, 524)(261, 525)(262, 526)(263, 527)(264, 528)
	local type(s) :: { ( 12, 132 ), ( 12, 132, 12, 132 ) }
Outer automorphisms :: reflexible
Dual of E22.1551
Graph:: simple bipartite
	v = 198 e = 264 f = 24
	degree seq :: [ 2^132, 4^66 ]

E22.1553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 66})
Quotient :: dipole
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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^-3 * Y3 * Y1^17 * Y3 * Y1^-2 ]
Map::
	R = (1, 133, 2, 134, 5, 137, 11, 143, 23, 155, 39, 171, 53, 185, 65, 197, 77, 209, 89, 221, 101, 233, 113, 245, 125, 257, 120, 252, 108, 240, 97, 229, 84, 216, 72, 204, 61, 193, 48, 180, 32, 164, 45, 177, 34, 166, 17, 149, 29, 161, 43, 175, 56, 188, 68, 200, 80, 212, 92, 224, 104, 236, 116, 248, 128, 260, 132, 264, 131, 263, 121, 253, 109, 241, 96, 228, 85, 217, 73, 205, 60, 192, 49, 181, 33, 165, 16, 148, 28, 160, 42, 174, 35, 167, 46, 178, 58, 190, 70, 202, 82, 214, 94, 226, 106, 238, 118, 250, 130, 262, 124, 256, 112, 244, 100, 232, 88, 220, 76, 208, 64, 196, 52, 184, 38, 170, 22, 154, 10, 142, 4, 136)(3, 135, 7, 139, 15, 147, 31, 163, 47, 179, 59, 191, 71, 203, 83, 215, 95, 227, 107, 239, 119, 251, 126, 258, 117, 249, 103, 235, 90, 222, 81, 213, 67, 199, 54, 186, 44, 176, 26, 158, 12, 144, 25, 157, 20, 152, 9, 141, 19, 151, 36, 168, 50, 182, 62, 194, 74, 206, 86, 218, 98, 230, 110, 242, 122, 254, 127, 259, 114, 246, 105, 237, 91, 223, 78, 210, 69, 201, 55, 187, 40, 172, 30, 162, 14, 146, 6, 138, 13, 145, 27, 159, 21, 153, 37, 169, 51, 183, 63, 195, 75, 207, 87, 219, 99, 231, 111, 243, 123, 255, 129, 261, 115, 247, 102, 234, 93, 225, 79, 211, 66, 198, 57, 189, 41, 173, 24, 156, 18, 150, 8, 140)(265, 397)(266, 398)(267, 399)(268, 400)(269, 401)(270, 402)(271, 403)(272, 404)(273, 405)(274, 406)(275, 407)(276, 408)(277, 409)(278, 410)(279, 411)(280, 412)(281, 413)(282, 414)(283, 415)(284, 416)(285, 417)(286, 418)(287, 419)(288, 420)(289, 421)(290, 422)(291, 423)(292, 424)(293, 425)(294, 426)(295, 427)(296, 428)(297, 429)(298, 430)(299, 431)(300, 432)(301, 433)(302, 434)(303, 435)(304, 436)(305, 437)(306, 438)(307, 439)(308, 440)(309, 441)(310, 442)(311, 443)(312, 444)(313, 445)(314, 446)(315, 447)(316, 448)(317, 449)(318, 450)(319, 451)(320, 452)(321, 453)(322, 454)(323, 455)(324, 456)(325, 457)(326, 458)(327, 459)(328, 460)(329, 461)(330, 462)(331, 463)(332, 464)(333, 465)(334, 466)(335, 467)(336, 468)(337, 469)(338, 470)(339, 471)(340, 472)(341, 473)(342, 474)(343, 475)(344, 476)(345, 477)(346, 478)(347, 479)(348, 480)(349, 481)(350, 482)(351, 483)(352, 484)(353, 485)(354, 486)(355, 487)(356, 488)(357, 489)(358, 490)(359, 491)(360, 492)(361, 493)(362, 494)(363, 495)(364, 496)(365, 497)(366, 498)(367, 499)(368, 500)(369, 501)(370, 502)(371, 503)(372, 504)(373, 505)(374, 506)(375, 507)(376, 508)(377, 509)(378, 510)(379, 511)(380, 512)(381, 513)(382, 514)(383, 515)(384, 516)(385, 517)(386, 518)(387, 519)(388, 520)(389, 521)(390, 522)(391, 523)(392, 524)(393, 525)(394, 526)(395, 527)(396, 528)
	L = (1, 267)(2, 270)(3, 265)(4, 273)(5, 276)(6, 266)(7, 280)(8, 281)(9, 268)(10, 285)(11, 288)(12, 269)(13, 292)(14, 293)(15, 296)(16, 271)(17, 272)(18, 299)(19, 297)(20, 298)(21, 274)(22, 295)(23, 304)(24, 275)(25, 306)(26, 307)(27, 309)(28, 277)(29, 278)(30, 310)(31, 286)(32, 279)(33, 283)(34, 284)(35, 282)(36, 312)(37, 313)(38, 314)(39, 318)(40, 287)(41, 320)(42, 289)(43, 290)(44, 322)(45, 291)(46, 294)(47, 324)(48, 300)(49, 301)(50, 302)(51, 325)(52, 327)(53, 330)(54, 303)(55, 332)(56, 305)(57, 334)(58, 308)(59, 336)(60, 311)(61, 315)(62, 337)(63, 316)(64, 335)(65, 342)(66, 317)(67, 344)(68, 319)(69, 346)(70, 321)(71, 328)(72, 323)(73, 326)(74, 348)(75, 349)(76, 350)(77, 354)(78, 329)(79, 356)(80, 331)(81, 358)(82, 333)(83, 360)(84, 338)(85, 339)(86, 340)(87, 361)(88, 363)(89, 366)(90, 341)(91, 368)(92, 343)(93, 370)(94, 345)(95, 372)(96, 347)(97, 351)(98, 373)(99, 352)(100, 371)(101, 378)(102, 353)(103, 380)(104, 355)(105, 382)(106, 357)(107, 364)(108, 359)(109, 362)(110, 384)(111, 385)(112, 386)(113, 390)(114, 365)(115, 392)(116, 367)(117, 394)(118, 369)(119, 395)(120, 374)(121, 375)(122, 376)(123, 389)(124, 393)(125, 387)(126, 377)(127, 396)(128, 379)(129, 388)(130, 381)(131, 383)(132, 391)(133, 397)(134, 398)(135, 399)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(145, 409)(146, 410)(147, 411)(148, 412)(149, 413)(150, 414)(151, 415)(152, 416)(153, 417)(154, 418)(155, 419)(156, 420)(157, 421)(158, 422)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 429)(166, 430)(167, 431)(168, 432)(169, 433)(170, 434)(171, 435)(172, 436)(173, 437)(174, 438)(175, 439)(176, 440)(177, 441)(178, 442)(179, 443)(180, 444)(181, 445)(182, 446)(183, 447)(184, 448)(185, 449)(186, 450)(187, 451)(188, 452)(189, 453)(190, 454)(191, 455)(192, 456)(193, 457)(194, 458)(195, 459)(196, 460)(197, 461)(198, 462)(199, 463)(200, 464)(201, 465)(202, 466)(203, 467)(204, 468)(205, 469)(206, 470)(207, 471)(208, 472)(209, 473)(210, 474)(211, 475)(212, 476)(213, 477)(214, 478)(215, 479)(216, 480)(217, 481)(218, 482)(219, 483)(220, 484)(221, 485)(222, 486)(223, 487)(224, 488)(225, 489)(226, 490)(227, 491)(228, 492)(229, 493)(230, 494)(231, 495)(232, 496)(233, 497)(234, 498)(235, 499)(236, 500)(237, 501)(238, 502)(239, 503)(240, 504)(241, 505)(242, 506)(243, 507)(244, 508)(245, 509)(246, 510)(247, 511)(248, 512)(249, 513)(250, 514)(251, 515)(252, 516)(253, 517)(254, 518)(255, 519)(256, 520)(257, 521)(258, 522)(259, 523)(260, 524)(261, 525)(262, 526)(263, 527)(264, 528)
	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, 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 E22.1550
Graph:: simple bipartite
	v = 134 e = 264 f = 88
	degree seq :: [ 2^132, 132^2 ]

E22.1554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 66})
Quotient :: dipole
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|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, Y2^14 * Y1 * Y2^-8 * Y1, (Y2^-1 * R * Y2^-10)^2 ]
Map::
	R = (1, 133, 2, 134)(3, 135, 7, 139)(4, 136, 9, 141)(5, 137, 11, 143)(6, 138, 13, 145)(8, 140, 17, 149)(10, 142, 21, 153)(12, 144, 25, 157)(14, 146, 29, 161)(15, 147, 23, 155)(16, 148, 27, 159)(18, 150, 30, 162)(19, 151, 24, 156)(20, 152, 28, 160)(22, 154, 26, 158)(31, 163, 41, 173)(32, 164, 45, 177)(33, 165, 39, 171)(34, 166, 44, 176)(35, 167, 47, 179)(36, 168, 42, 174)(37, 169, 40, 172)(38, 170, 50, 182)(43, 175, 53, 185)(46, 178, 56, 188)(48, 180, 57, 189)(49, 181, 60, 192)(51, 183, 54, 186)(52, 184, 63, 195)(55, 187, 66, 198)(58, 190, 69, 201)(59, 191, 68, 200)(61, 193, 70, 202)(62, 194, 65, 197)(64, 196, 67, 199)(71, 203, 81, 213)(72, 204, 80, 212)(73, 205, 83, 215)(74, 206, 78, 210)(75, 207, 77, 209)(76, 208, 86, 218)(79, 211, 89, 221)(82, 214, 92, 224)(84, 216, 93, 225)(85, 217, 96, 228)(87, 219, 90, 222)(88, 220, 99, 231)(91, 223, 102, 234)(94, 226, 105, 237)(95, 227, 104, 236)(97, 229, 106, 238)(98, 230, 101, 233)(100, 232, 103, 235)(107, 239, 117, 249)(108, 240, 116, 248)(109, 241, 119, 251)(110, 242, 114, 246)(111, 243, 113, 245)(112, 244, 122, 254)(115, 247, 125, 257)(118, 250, 128, 260)(120, 252, 129, 261)(121, 253, 127, 259)(123, 255, 126, 258)(124, 256, 130, 262)(131, 263, 132, 264)(265, 397, 267, 399, 272, 404, 282, 414, 299, 431, 313, 445, 325, 457, 337, 469, 349, 481, 361, 493, 373, 505, 385, 517, 390, 522, 378, 510, 366, 498, 354, 486, 342, 474, 330, 462, 318, 450, 306, 438, 289, 421, 305, 437, 292, 424, 277, 409, 291, 423, 308, 440, 320, 452, 332, 464, 344, 476, 356, 488, 368, 500, 380, 512, 392, 524, 396, 528, 389, 521, 377, 509, 365, 497, 353, 485, 341, 473, 329, 461, 317, 449, 304, 436, 288, 420, 275, 407, 287, 419, 303, 435, 293, 425, 309, 441, 321, 453, 333, 465, 345, 477, 357, 489, 369, 501, 381, 513, 393, 525, 388, 520, 376, 508, 364, 496, 352, 484, 340, 472, 328, 460, 316, 448, 302, 434, 286, 418, 274, 406, 268, 400)(266, 398, 269, 401, 276, 408, 290, 422, 307, 439, 319, 451, 331, 463, 343, 475, 355, 487, 367, 499, 379, 511, 391, 523, 384, 516, 372, 504, 360, 492, 348, 480, 336, 468, 324, 456, 312, 444, 298, 430, 281, 413, 297, 429, 284, 416, 273, 405, 283, 415, 300, 432, 314, 446, 326, 458, 338, 470, 350, 482, 362, 494, 374, 506, 386, 518, 395, 527, 383, 515, 371, 503, 359, 491, 347, 479, 335, 467, 323, 455, 311, 443, 296, 428, 280, 412, 271, 403, 279, 411, 295, 427, 285, 417, 301, 433, 315, 447, 327, 459, 339, 471, 351, 483, 363, 495, 375, 507, 387, 519, 394, 526, 382, 514, 370, 502, 358, 490, 346, 478, 334, 466, 322, 454, 310, 442, 294, 426, 278, 410, 270, 402)
	L = (1, 266)(2, 265)(3, 271)(4, 273)(5, 275)(6, 277)(7, 267)(8, 281)(9, 268)(10, 285)(11, 269)(12, 289)(13, 270)(14, 293)(15, 287)(16, 291)(17, 272)(18, 294)(19, 288)(20, 292)(21, 274)(22, 290)(23, 279)(24, 283)(25, 276)(26, 286)(27, 280)(28, 284)(29, 278)(30, 282)(31, 305)(32, 309)(33, 303)(34, 308)(35, 311)(36, 306)(37, 304)(38, 314)(39, 297)(40, 301)(41, 295)(42, 300)(43, 317)(44, 298)(45, 296)(46, 320)(47, 299)(48, 321)(49, 324)(50, 302)(51, 318)(52, 327)(53, 307)(54, 315)(55, 330)(56, 310)(57, 312)(58, 333)(59, 332)(60, 313)(61, 334)(62, 329)(63, 316)(64, 331)(65, 326)(66, 319)(67, 328)(68, 323)(69, 322)(70, 325)(71, 345)(72, 344)(73, 347)(74, 342)(75, 341)(76, 350)(77, 339)(78, 338)(79, 353)(80, 336)(81, 335)(82, 356)(83, 337)(84, 357)(85, 360)(86, 340)(87, 354)(88, 363)(89, 343)(90, 351)(91, 366)(92, 346)(93, 348)(94, 369)(95, 368)(96, 349)(97, 370)(98, 365)(99, 352)(100, 367)(101, 362)(102, 355)(103, 364)(104, 359)(105, 358)(106, 361)(107, 381)(108, 380)(109, 383)(110, 378)(111, 377)(112, 386)(113, 375)(114, 374)(115, 389)(116, 372)(117, 371)(118, 392)(119, 373)(120, 393)(121, 391)(122, 376)(123, 390)(124, 394)(125, 379)(126, 387)(127, 385)(128, 382)(129, 384)(130, 388)(131, 396)(132, 395)(133, 397)(134, 398)(135, 399)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(145, 409)(146, 410)(147, 411)(148, 412)(149, 413)(150, 414)(151, 415)(152, 416)(153, 417)(154, 418)(155, 419)(156, 420)(157, 421)(158, 422)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 429)(166, 430)(167, 431)(168, 432)(169, 433)(170, 434)(171, 435)(172, 436)(173, 437)(174, 438)(175, 439)(176, 440)(177, 441)(178, 442)(179, 443)(180, 444)(181, 445)(182, 446)(183, 447)(184, 448)(185, 449)(186, 450)(187, 451)(188, 452)(189, 453)(190, 454)(191, 455)(192, 456)(193, 457)(194, 458)(195, 459)(196, 460)(197, 461)(198, 462)(199, 463)(200, 464)(201, 465)(202, 466)(203, 467)(204, 468)(205, 469)(206, 470)(207, 471)(208, 472)(209, 473)(210, 474)(211, 475)(212, 476)(213, 477)(214, 478)(215, 479)(216, 480)(217, 481)(218, 482)(219, 483)(220, 484)(221, 485)(222, 486)(223, 487)(224, 488)(225, 489)(226, 490)(227, 491)(228, 492)(229, 493)(230, 494)(231, 495)(232, 496)(233, 497)(234, 498)(235, 499)(236, 500)(237, 501)(238, 502)(239, 503)(240, 504)(241, 505)(242, 506)(243, 507)(244, 508)(245, 509)(246, 510)(247, 511)(248, 512)(249, 513)(250, 514)(251, 515)(252, 516)(253, 517)(254, 518)(255, 519)(256, 520)(257, 521)(258, 522)(259, 523)(260, 524)(261, 525)(262, 526)(263, 527)(264, 528)
	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, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1555
Graph:: bipartite
	v = 68 e = 264 f = 154
	degree seq :: [ 4^66, 132^2 ]

E22.1555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 66})
Quotient :: dipole
Aut^+ = C6 x D22 (small group id <132, 7>)
Aut   = C2 x S3 x D22 (small group id <264, 34>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y3^-1 * Y1^3 * Y3^-1 * Y1, Y1^6, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^8)^2, Y3^21 * Y1 * Y3^-1 * Y1, (Y3 * Y2^-1)^66 ]
Map::
	R = (1, 133, 2, 134, 6, 138, 16, 148, 13, 145, 4, 136)(3, 135, 9, 141, 17, 149, 8, 140, 21, 153, 11, 143)(5, 137, 14, 146, 18, 150, 12, 144, 20, 152, 7, 139)(10, 142, 24, 156, 29, 161, 23, 155, 33, 165, 22, 154)(15, 147, 26, 158, 30, 162, 19, 151, 31, 163, 27, 159)(25, 157, 34, 166, 41, 173, 36, 168, 45, 177, 35, 167)(28, 160, 32, 164, 42, 174, 39, 171, 43, 175, 38, 170)(37, 169, 47, 179, 53, 185, 46, 178, 57, 189, 48, 180)(40, 172, 51, 183, 54, 186, 50, 182, 55, 187, 44, 176)(49, 181, 60, 192, 65, 197, 59, 191, 69, 201, 58, 190)(52, 184, 62, 194, 66, 198, 56, 188, 67, 199, 63, 195)(61, 193, 70, 202, 77, 209, 72, 204, 81, 213, 71, 203)(64, 196, 68, 200, 78, 210, 75, 207, 79, 211, 74, 206)(73, 205, 83, 215, 89, 221, 82, 214, 93, 225, 84, 216)(76, 208, 87, 219, 90, 222, 86, 218, 91, 223, 80, 212)(85, 217, 96, 228, 101, 233, 95, 227, 105, 237, 94, 226)(88, 220, 98, 230, 102, 234, 92, 224, 103, 235, 99, 231)(97, 229, 106, 238, 113, 245, 108, 240, 117, 249, 107, 239)(100, 232, 104, 236, 114, 246, 111, 243, 115, 247, 110, 242)(109, 241, 119, 251, 125, 257, 118, 250, 129, 261, 120, 252)(112, 244, 123, 255, 126, 258, 122, 254, 127, 259, 116, 248)(121, 253, 128, 260, 132, 264, 131, 263, 124, 256, 130, 262)(265, 397)(266, 398)(267, 399)(268, 400)(269, 401)(270, 402)(271, 403)(272, 404)(273, 405)(274, 406)(275, 407)(276, 408)(277, 409)(278, 410)(279, 411)(280, 412)(281, 413)(282, 414)(283, 415)(284, 416)(285, 417)(286, 418)(287, 419)(288, 420)(289, 421)(290, 422)(291, 423)(292, 424)(293, 425)(294, 426)(295, 427)(296, 428)(297, 429)(298, 430)(299, 431)(300, 432)(301, 433)(302, 434)(303, 435)(304, 436)(305, 437)(306, 438)(307, 439)(308, 440)(309, 441)(310, 442)(311, 443)(312, 444)(313, 445)(314, 446)(315, 447)(316, 448)(317, 449)(318, 450)(319, 451)(320, 452)(321, 453)(322, 454)(323, 455)(324, 456)(325, 457)(326, 458)(327, 459)(328, 460)(329, 461)(330, 462)(331, 463)(332, 464)(333, 465)(334, 466)(335, 467)(336, 468)(337, 469)(338, 470)(339, 471)(340, 472)(341, 473)(342, 474)(343, 475)(344, 476)(345, 477)(346, 478)(347, 479)(348, 480)(349, 481)(350, 482)(351, 483)(352, 484)(353, 485)(354, 486)(355, 487)(356, 488)(357, 489)(358, 490)(359, 491)(360, 492)(361, 493)(362, 494)(363, 495)(364, 496)(365, 497)(366, 498)(367, 499)(368, 500)(369, 501)(370, 502)(371, 503)(372, 504)(373, 505)(374, 506)(375, 507)(376, 508)(377, 509)(378, 510)(379, 511)(380, 512)(381, 513)(382, 514)(383, 515)(384, 516)(385, 517)(386, 518)(387, 519)(388, 520)(389, 521)(390, 522)(391, 523)(392, 524)(393, 525)(394, 526)(395, 527)(396, 528)
	L = (1, 267)(2, 271)(3, 274)(4, 276)(5, 265)(6, 281)(7, 283)(8, 266)(9, 268)(10, 289)(11, 280)(12, 290)(13, 285)(14, 291)(15, 269)(16, 278)(17, 293)(18, 270)(19, 296)(20, 277)(21, 297)(22, 272)(23, 273)(24, 275)(25, 301)(26, 302)(27, 303)(28, 279)(29, 305)(30, 282)(31, 284)(32, 308)(33, 309)(34, 286)(35, 287)(36, 288)(37, 313)(38, 314)(39, 315)(40, 292)(41, 317)(42, 294)(43, 295)(44, 320)(45, 321)(46, 298)(47, 299)(48, 300)(49, 325)(50, 326)(51, 327)(52, 304)(53, 329)(54, 306)(55, 307)(56, 332)(57, 333)(58, 310)(59, 311)(60, 312)(61, 337)(62, 338)(63, 339)(64, 316)(65, 341)(66, 318)(67, 319)(68, 344)(69, 345)(70, 322)(71, 323)(72, 324)(73, 349)(74, 350)(75, 351)(76, 328)(77, 353)(78, 330)(79, 331)(80, 356)(81, 357)(82, 334)(83, 335)(84, 336)(85, 361)(86, 362)(87, 363)(88, 340)(89, 365)(90, 342)(91, 343)(92, 368)(93, 369)(94, 346)(95, 347)(96, 348)(97, 373)(98, 374)(99, 375)(100, 352)(101, 377)(102, 354)(103, 355)(104, 380)(105, 381)(106, 358)(107, 359)(108, 360)(109, 385)(110, 386)(111, 387)(112, 364)(113, 389)(114, 366)(115, 367)(116, 392)(117, 393)(118, 370)(119, 371)(120, 372)(121, 390)(122, 394)(123, 395)(124, 376)(125, 396)(126, 378)(127, 379)(128, 384)(129, 388)(130, 382)(131, 383)(132, 391)(133, 397)(134, 398)(135, 399)(136, 400)(137, 401)(138, 402)(139, 403)(140, 404)(141, 405)(142, 406)(143, 407)(144, 408)(145, 409)(146, 410)(147, 411)(148, 412)(149, 413)(150, 414)(151, 415)(152, 416)(153, 417)(154, 418)(155, 419)(156, 420)(157, 421)(158, 422)(159, 423)(160, 424)(161, 425)(162, 426)(163, 427)(164, 428)(165, 429)(166, 430)(167, 431)(168, 432)(169, 433)(170, 434)(171, 435)(172, 436)(173, 437)(174, 438)(175, 439)(176, 440)(177, 441)(178, 442)(179, 443)(180, 444)(181, 445)(182, 446)(183, 447)(184, 448)(185, 449)(186, 450)(187, 451)(188, 452)(189, 453)(190, 454)(191, 455)(192, 456)(193, 457)(194, 458)(195, 459)(196, 460)(197, 461)(198, 462)(199, 463)(200, 464)(201, 465)(202, 466)(203, 467)(204, 468)(205, 469)(206, 470)(207, 471)(208, 472)(209, 473)(210, 474)(211, 475)(212, 476)(213, 477)(214, 478)(215, 479)(216, 480)(217, 481)(218, 482)(219, 483)(220, 484)(221, 485)(222, 486)(223, 487)(224, 488)(225, 489)(226, 490)(227, 491)(228, 492)(229, 493)(230, 494)(231, 495)(232, 496)(233, 497)(234, 498)(235, 499)(236, 500)(237, 501)(238, 502)(239, 503)(240, 504)(241, 505)(242, 506)(243, 507)(244, 508)(245, 509)(246, 510)(247, 511)(248, 512)(249, 513)(250, 514)(251, 515)(252, 516)(253, 517)(254, 518)(255, 519)(256, 520)(257, 521)(258, 522)(259, 523)(260, 524)(261, 525)(262, 526)(263, 527)(264, 528)
	local type(s) :: { ( 4, 132 ), ( 4, 132, 4, 132, 4, 132, 4, 132, 4, 132, 4, 132 ) }
Outer automorphisms :: reflexible
Dual of E22.1554
Graph:: simple bipartite
	v = 154 e = 264 f = 68
	degree seq :: [ 2^132, 12^22 ]

E22.1556 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^5 * T2 * T1^-1, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 84, 46, 22, 10, 4)(3, 7, 15, 31, 63, 101, 120, 103, 74, 38, 18, 8)(6, 13, 27, 55, 99, 68, 111, 71, 106, 62, 30, 14)(9, 19, 39, 75, 110, 67, 86, 70, 112, 78, 42, 20)(12, 25, 51, 93, 127, 102, 83, 104, 130, 98, 54, 26)(16, 33, 66, 91, 60, 29, 59, 41, 77, 95, 52, 34)(17, 35, 69, 90, 58, 28, 57, 40, 76, 96, 53, 36)(21, 43, 79, 116, 122, 88, 48, 87, 121, 117, 80, 44)(24, 49, 89, 123, 119, 82, 45, 81, 118, 126, 92, 50)(32, 61, 94, 125, 139, 136, 115, 131, 144, 135, 109, 65)(37, 56, 97, 124, 140, 133, 107, 132, 143, 137, 113, 72)(64, 108, 134, 142, 129, 105, 73, 114, 138, 141, 128, 100)
	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, 67)(34, 68)(35, 70)(36, 71)(38, 73)(39, 72)(42, 65)(43, 66)(44, 69)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 107)(74, 115)(75, 108)(76, 88)(77, 87)(78, 114)(79, 109)(80, 113)(81, 96)(82, 95)(84, 111)(85, 120)(89, 124)(92, 125)(93, 128)(98, 129)(99, 131)(106, 132)(110, 136)(112, 133)(116, 134)(117, 138)(118, 137)(119, 135)(121, 139)(122, 140)(123, 141)(126, 142)(127, 143)(130, 144)
	local type(s) :: { ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1557
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 72 f = 18
	degree seq :: [ 12^12 ]

E22.1557 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 12})
Quotient :: regular
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1 * T2 * T1 * T2, T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 58, 29, 57, 85, 65, 34)(17, 35, 66, 89, 61, 40, 68, 36)(28, 55, 79, 51, 78, 111, 84, 56)(32, 62, 90, 70, 37, 69, 93, 63)(41, 50, 77, 107, 75, 74, 104, 72)(54, 81, 115, 88, 59, 87, 118, 82)(64, 94, 126, 92, 122, 103, 128, 95)(67, 91, 120, 83, 119, 100, 117, 98)(71, 101, 131, 106, 73, 105, 132, 102)(76, 108, 133, 114, 80, 113, 136, 109)(86, 116, 137, 110, 96, 124, 135, 123)(97, 121, 138, 130, 99, 112, 134, 129)(125, 141, 144, 139, 127, 142, 143, 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, 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, 91)(63, 92)(65, 96)(66, 97)(68, 99)(69, 100)(70, 95)(72, 103)(77, 110)(79, 112)(81, 116)(82, 117)(84, 121)(85, 122)(87, 124)(88, 120)(89, 119)(90, 125)(93, 127)(94, 107)(98, 111)(101, 128)(102, 129)(104, 123)(105, 126)(106, 130)(108, 134)(109, 135)(113, 138)(114, 137)(115, 139)(118, 140)(131, 142)(132, 141)(133, 143)(136, 144)
	local type(s) :: { ( 12^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1556
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 18 e = 72 f = 12
	degree seq :: [ 8^18 ]

E22.1558 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1 * T2 * T1 * T2 * T1, T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	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, 121, 91, 62)(41, 66, 97, 107, 100, 74, 104, 72)(46, 75, 108, 82, 114, 103, 109, 76)(56, 80, 115, 89, 118, 88, 122, 86)(63, 92, 125, 95, 64, 94, 126, 93)(71, 101, 131, 106, 73, 105, 132, 102)(77, 110, 133, 113, 78, 112, 134, 111)(85, 119, 139, 124, 87, 123, 140, 120)(98, 127, 141, 130, 99, 129, 142, 128)(116, 135, 143, 138, 117, 137, 144, 136)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 169)(158, 173)(159, 175)(160, 177)(162, 181)(163, 183)(164, 185)(166, 189)(167, 190)(168, 192)(170, 196)(171, 198)(172, 200)(174, 204)(176, 207)(178, 208)(179, 210)(180, 212)(182, 197)(184, 215)(186, 217)(187, 218)(188, 206)(191, 221)(193, 222)(194, 224)(195, 226)(199, 229)(201, 231)(202, 232)(203, 220)(205, 233)(209, 240)(211, 242)(213, 243)(214, 244)(216, 247)(219, 251)(223, 258)(225, 260)(227, 261)(228, 262)(230, 265)(234, 267)(235, 263)(236, 254)(237, 266)(238, 256)(239, 259)(241, 257)(245, 253)(246, 264)(248, 255)(249, 252)(250, 268)(269, 282)(270, 280)(271, 284)(272, 278)(273, 283)(274, 277)(275, 281)(276, 279)(285, 288)(286, 287)
	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) :: { ( 24, 24 ), ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1562
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 144 f = 12
	degree seq :: [ 2^72, 8^18 ]

E22.1559 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1 * T2^-2 * T1^-2 * T2^-2 * T1, T1^8, (T1 * T2^-1 * T1^2)^2, T2^4 * T1^-2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-2 * T1, T2^3 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 62, 84, 40, 83, 82, 39, 15, 5)(2, 7, 19, 48, 96, 73, 34, 75, 108, 56, 22, 8)(4, 12, 31, 70, 87, 42, 16, 41, 85, 60, 24, 9)(6, 17, 43, 89, 65, 30, 13, 33, 74, 94, 46, 18)(11, 28, 67, 118, 69, 110, 57, 109, 129, 92, 45, 25)(14, 36, 52, 102, 133, 99, 51, 88, 44, 90, 78, 37)(20, 50, 100, 59, 23, 58, 35, 76, 114, 66, 29, 47)(21, 53, 32, 72, 116, 126, 91, 123, 86, 124, 104, 54)(27, 64, 115, 139, 117, 81, 93, 130, 141, 138, 111, 61)(38, 79, 101, 135, 142, 131, 112, 63, 113, 136, 103, 80)(49, 98, 68, 120, 134, 107, 125, 121, 137, 122, 77, 95)(55, 105, 127, 143, 140, 119, 71, 97, 132, 144, 128, 106)(145, 146, 150, 160, 184, 178, 157, 148)(147, 153, 167, 201, 227, 186, 173, 155)(149, 158, 179, 219, 228, 195, 164, 151)(152, 165, 196, 177, 217, 235, 188, 161)(154, 169, 190, 237, 226, 254, 209, 171)(156, 174, 213, 230, 185, 162, 189, 176)(159, 182, 187, 232, 206, 256, 218, 180)(163, 191, 231, 269, 252, 202, 168, 193)(166, 199, 229, 267, 240, 215, 175, 197)(170, 205, 244, 223, 183, 225, 258, 207)(172, 210, 261, 281, 253, 203, 255, 212)(181, 221, 245, 194, 243, 278, 257, 220)(192, 239, 222, 249, 200, 251, 277, 241)(198, 247, 271, 234, 270, 286, 276, 246)(204, 250, 273, 265, 214, 263, 211, 242)(208, 233, 224, 248, 274, 238, 275, 260)(216, 236, 272, 285, 268, 262, 284, 259)(264, 282, 288, 279, 266, 283, 287, 280)
	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) :: { ( 4^8 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1563
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 8^18, 12^12 ]

E22.1560 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 12})
Quotient :: edge
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^5 * T2 * T1^-1, T1^12 ]
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, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 67)(34, 68)(35, 70)(36, 71)(38, 73)(39, 72)(42, 65)(43, 66)(44, 69)(46, 83)(47, 86)(49, 90)(50, 91)(51, 94)(54, 97)(55, 100)(57, 101)(58, 102)(59, 103)(60, 104)(62, 105)(63, 107)(74, 115)(75, 108)(76, 88)(77, 87)(78, 114)(79, 109)(80, 113)(81, 96)(82, 95)(84, 111)(85, 120)(89, 124)(92, 125)(93, 128)(98, 129)(99, 131)(106, 132)(110, 136)(112, 133)(116, 134)(117, 138)(118, 137)(119, 135)(121, 139)(122, 140)(123, 141)(126, 142)(127, 143)(130, 144)(145, 146, 149, 155, 167, 191, 229, 228, 190, 166, 154, 148)(147, 151, 159, 175, 207, 245, 264, 247, 218, 182, 162, 152)(150, 157, 171, 199, 243, 212, 255, 215, 250, 206, 174, 158)(153, 163, 183, 219, 254, 211, 230, 214, 256, 222, 186, 164)(156, 169, 195, 237, 271, 246, 227, 248, 274, 242, 198, 170)(160, 177, 210, 235, 204, 173, 203, 185, 221, 239, 196, 178)(161, 179, 213, 234, 202, 172, 201, 184, 220, 240, 197, 180)(165, 187, 223, 260, 266, 232, 192, 231, 265, 261, 224, 188)(168, 193, 233, 267, 263, 226, 189, 225, 262, 270, 236, 194)(176, 205, 238, 269, 283, 280, 259, 275, 288, 279, 253, 209)(181, 200, 241, 268, 284, 277, 251, 276, 287, 281, 257, 216)(208, 252, 278, 286, 273, 249, 217, 258, 282, 285, 272, 244)
	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) :: { ( 16, 16 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E22.1561
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 144 f = 18
	degree seq :: [ 2^72, 12^12 ]

E22.1561 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2, T2 * T1 * T2 * T1 * T2^-3 * T1 * T2 * T1 * T2 * T1 * T2 * T1, T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 38, 182, 22, 166, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 26, 170, 53, 197, 30, 174, 14, 158, 6, 150)(7, 151, 15, 159, 32, 176, 48, 192, 45, 189, 65, 209, 34, 178, 16, 160)(9, 153, 19, 163, 40, 184, 70, 214, 37, 181, 54, 198, 42, 186, 20, 164)(11, 155, 23, 167, 47, 191, 33, 177, 60, 204, 79, 223, 49, 193, 24, 168)(13, 157, 27, 171, 55, 199, 84, 228, 52, 196, 39, 183, 57, 201, 28, 172)(17, 161, 35, 179, 67, 211, 44, 188, 21, 165, 43, 187, 69, 213, 36, 180)(25, 169, 50, 194, 81, 225, 59, 203, 29, 173, 58, 202, 83, 227, 51, 195)(31, 175, 61, 205, 90, 234, 68, 212, 96, 240, 121, 265, 91, 235, 62, 206)(41, 185, 66, 210, 97, 241, 107, 251, 100, 244, 74, 218, 104, 248, 72, 216)(46, 190, 75, 219, 108, 252, 82, 226, 114, 258, 103, 247, 109, 253, 76, 220)(56, 200, 80, 224, 115, 259, 89, 233, 118, 262, 88, 232, 122, 266, 86, 230)(63, 207, 92, 236, 125, 269, 95, 239, 64, 208, 94, 238, 126, 270, 93, 237)(71, 215, 101, 245, 131, 275, 106, 250, 73, 217, 105, 249, 132, 276, 102, 246)(77, 221, 110, 254, 133, 277, 113, 257, 78, 222, 112, 256, 134, 278, 111, 255)(85, 229, 119, 263, 139, 283, 124, 268, 87, 231, 123, 267, 140, 284, 120, 264)(98, 242, 127, 271, 141, 285, 130, 274, 99, 243, 129, 273, 142, 286, 128, 272)(116, 260, 135, 279, 143, 287, 138, 282, 117, 261, 137, 281, 144, 288, 136, 280)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 169)(13, 150)(14, 173)(15, 175)(16, 177)(17, 152)(18, 181)(19, 183)(20, 185)(21, 154)(22, 189)(23, 190)(24, 192)(25, 156)(26, 196)(27, 198)(28, 200)(29, 158)(30, 204)(31, 159)(32, 207)(33, 160)(34, 208)(35, 210)(36, 212)(37, 162)(38, 197)(39, 163)(40, 215)(41, 164)(42, 217)(43, 218)(44, 206)(45, 166)(46, 167)(47, 221)(48, 168)(49, 222)(50, 224)(51, 226)(52, 170)(53, 182)(54, 171)(55, 229)(56, 172)(57, 231)(58, 232)(59, 220)(60, 174)(61, 233)(62, 188)(63, 176)(64, 178)(65, 240)(66, 179)(67, 242)(68, 180)(69, 243)(70, 244)(71, 184)(72, 247)(73, 186)(74, 187)(75, 251)(76, 203)(77, 191)(78, 193)(79, 258)(80, 194)(81, 260)(82, 195)(83, 261)(84, 262)(85, 199)(86, 265)(87, 201)(88, 202)(89, 205)(90, 267)(91, 263)(92, 254)(93, 266)(94, 256)(95, 259)(96, 209)(97, 257)(98, 211)(99, 213)(100, 214)(101, 253)(102, 264)(103, 216)(104, 255)(105, 252)(106, 268)(107, 219)(108, 249)(109, 245)(110, 236)(111, 248)(112, 238)(113, 241)(114, 223)(115, 239)(116, 225)(117, 227)(118, 228)(119, 235)(120, 246)(121, 230)(122, 237)(123, 234)(124, 250)(125, 282)(126, 280)(127, 284)(128, 278)(129, 283)(130, 277)(131, 281)(132, 279)(133, 274)(134, 272)(135, 276)(136, 270)(137, 275)(138, 269)(139, 273)(140, 271)(141, 288)(142, 287)(143, 286)(144, 285)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1560
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 144 f = 84
	degree seq :: [ 16^18 ]

E22.1562 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T1 * T2^-2 * T1^-2 * T2^-2 * T1, T1^8, (T1 * T2^-1 * T1^2)^2, T2^4 * T1^-2 * T2^-2 * T1^-2, T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-2 * T1, T2^3 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 62, 206, 84, 228, 40, 184, 83, 227, 82, 226, 39, 183, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 48, 192, 96, 240, 73, 217, 34, 178, 75, 219, 108, 252, 56, 200, 22, 166, 8, 152)(4, 148, 12, 156, 31, 175, 70, 214, 87, 231, 42, 186, 16, 160, 41, 185, 85, 229, 60, 204, 24, 168, 9, 153)(6, 150, 17, 161, 43, 187, 89, 233, 65, 209, 30, 174, 13, 157, 33, 177, 74, 218, 94, 238, 46, 190, 18, 162)(11, 155, 28, 172, 67, 211, 118, 262, 69, 213, 110, 254, 57, 201, 109, 253, 129, 273, 92, 236, 45, 189, 25, 169)(14, 158, 36, 180, 52, 196, 102, 246, 133, 277, 99, 243, 51, 195, 88, 232, 44, 188, 90, 234, 78, 222, 37, 181)(20, 164, 50, 194, 100, 244, 59, 203, 23, 167, 58, 202, 35, 179, 76, 220, 114, 258, 66, 210, 29, 173, 47, 191)(21, 165, 53, 197, 32, 176, 72, 216, 116, 260, 126, 270, 91, 235, 123, 267, 86, 230, 124, 268, 104, 248, 54, 198)(27, 171, 64, 208, 115, 259, 139, 283, 117, 261, 81, 225, 93, 237, 130, 274, 141, 285, 138, 282, 111, 255, 61, 205)(38, 182, 79, 223, 101, 245, 135, 279, 142, 286, 131, 275, 112, 256, 63, 207, 113, 257, 136, 280, 103, 247, 80, 224)(49, 193, 98, 242, 68, 212, 120, 264, 134, 278, 107, 251, 125, 269, 121, 265, 137, 281, 122, 266, 77, 221, 95, 239)(55, 199, 105, 249, 127, 271, 143, 287, 140, 284, 119, 263, 71, 215, 97, 241, 132, 276, 144, 288, 128, 272, 106, 250)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 174)(13, 148)(14, 179)(15, 182)(16, 184)(17, 152)(18, 189)(19, 191)(20, 151)(21, 196)(22, 199)(23, 201)(24, 193)(25, 190)(26, 205)(27, 154)(28, 210)(29, 155)(30, 213)(31, 197)(32, 156)(33, 217)(34, 157)(35, 219)(36, 159)(37, 221)(38, 187)(39, 225)(40, 178)(41, 162)(42, 173)(43, 232)(44, 161)(45, 176)(46, 237)(47, 231)(48, 239)(49, 163)(50, 243)(51, 164)(52, 177)(53, 166)(54, 247)(55, 229)(56, 251)(57, 227)(58, 168)(59, 255)(60, 250)(61, 244)(62, 256)(63, 170)(64, 233)(65, 171)(66, 261)(67, 242)(68, 172)(69, 230)(70, 263)(71, 175)(72, 236)(73, 235)(74, 180)(75, 228)(76, 181)(77, 245)(78, 249)(79, 183)(80, 248)(81, 258)(82, 254)(83, 186)(84, 195)(85, 267)(86, 185)(87, 269)(88, 206)(89, 224)(90, 270)(91, 188)(92, 272)(93, 226)(94, 275)(95, 222)(96, 215)(97, 192)(98, 204)(99, 278)(100, 223)(101, 194)(102, 198)(103, 271)(104, 274)(105, 200)(106, 273)(107, 277)(108, 202)(109, 203)(110, 209)(111, 212)(112, 218)(113, 220)(114, 207)(115, 216)(116, 208)(117, 281)(118, 284)(119, 211)(120, 282)(121, 214)(122, 283)(123, 240)(124, 262)(125, 252)(126, 286)(127, 234)(128, 285)(129, 265)(130, 238)(131, 260)(132, 246)(133, 241)(134, 257)(135, 266)(136, 264)(137, 253)(138, 288)(139, 287)(140, 259)(141, 268)(142, 276)(143, 280)(144, 279)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1558
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 144 f = 90
	degree seq :: [ 24^12 ]

E22.1563 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 12})
Quotient :: loop
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^5 * T2 * T1^-1, T1^12 ]
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, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 64, 208)(33, 177, 67, 211)(34, 178, 68, 212)(35, 179, 70, 214)(36, 180, 71, 215)(38, 182, 73, 217)(39, 183, 72, 216)(42, 186, 65, 209)(43, 187, 66, 210)(44, 188, 69, 213)(46, 190, 83, 227)(47, 191, 86, 230)(49, 193, 90, 234)(50, 194, 91, 235)(51, 195, 94, 238)(54, 198, 97, 241)(55, 199, 100, 244)(57, 201, 101, 245)(58, 202, 102, 246)(59, 203, 103, 247)(60, 204, 104, 248)(62, 206, 105, 249)(63, 207, 107, 251)(74, 218, 115, 259)(75, 219, 108, 252)(76, 220, 88, 232)(77, 221, 87, 231)(78, 222, 114, 258)(79, 223, 109, 253)(80, 224, 113, 257)(81, 225, 96, 240)(82, 226, 95, 239)(84, 228, 111, 255)(85, 229, 120, 264)(89, 233, 124, 268)(92, 236, 125, 269)(93, 237, 128, 272)(98, 242, 129, 273)(99, 243, 131, 275)(106, 250, 132, 276)(110, 254, 136, 280)(112, 256, 133, 277)(116, 260, 134, 278)(117, 261, 138, 282)(118, 262, 137, 281)(119, 263, 135, 279)(121, 265, 139, 283)(122, 266, 140, 284)(123, 267, 141, 285)(126, 270, 142, 286)(127, 271, 143, 287)(130, 274, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 207)(32, 205)(33, 210)(34, 160)(35, 213)(36, 161)(37, 200)(38, 162)(39, 219)(40, 220)(41, 221)(42, 164)(43, 223)(44, 165)(45, 225)(46, 166)(47, 229)(48, 231)(49, 233)(50, 168)(51, 237)(52, 178)(53, 180)(54, 170)(55, 243)(56, 241)(57, 184)(58, 172)(59, 185)(60, 173)(61, 238)(62, 174)(63, 245)(64, 252)(65, 176)(66, 235)(67, 230)(68, 255)(69, 234)(70, 256)(71, 250)(72, 181)(73, 258)(74, 182)(75, 254)(76, 240)(77, 239)(78, 186)(79, 260)(80, 188)(81, 262)(82, 189)(83, 248)(84, 190)(85, 228)(86, 214)(87, 265)(88, 192)(89, 267)(90, 202)(91, 204)(92, 194)(93, 271)(94, 269)(95, 196)(96, 197)(97, 268)(98, 198)(99, 212)(100, 208)(101, 264)(102, 227)(103, 218)(104, 274)(105, 217)(106, 206)(107, 276)(108, 278)(109, 209)(110, 211)(111, 215)(112, 222)(113, 216)(114, 282)(115, 275)(116, 266)(117, 224)(118, 270)(119, 226)(120, 247)(121, 261)(122, 232)(123, 263)(124, 284)(125, 283)(126, 236)(127, 246)(128, 244)(129, 249)(130, 242)(131, 288)(132, 287)(133, 251)(134, 286)(135, 253)(136, 259)(137, 257)(138, 285)(139, 280)(140, 277)(141, 272)(142, 273)(143, 281)(144, 279)
	local type(s) :: { ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E22.1559
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2, Y2^-2 * Y1 * R * Y2^-3 * R * Y1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 46, 190)(24, 168, 48, 192)(26, 170, 52, 196)(27, 171, 54, 198)(28, 172, 56, 200)(30, 174, 60, 204)(32, 176, 63, 207)(34, 178, 64, 208)(35, 179, 66, 210)(36, 180, 68, 212)(38, 182, 53, 197)(40, 184, 71, 215)(42, 186, 73, 217)(43, 187, 74, 218)(44, 188, 62, 206)(47, 191, 77, 221)(49, 193, 78, 222)(50, 194, 80, 224)(51, 195, 82, 226)(55, 199, 85, 229)(57, 201, 87, 231)(58, 202, 88, 232)(59, 203, 76, 220)(61, 205, 89, 233)(65, 209, 96, 240)(67, 211, 98, 242)(69, 213, 99, 243)(70, 214, 100, 244)(72, 216, 103, 247)(75, 219, 107, 251)(79, 223, 114, 258)(81, 225, 116, 260)(83, 227, 117, 261)(84, 228, 118, 262)(86, 230, 121, 265)(90, 234, 123, 267)(91, 235, 119, 263)(92, 236, 110, 254)(93, 237, 122, 266)(94, 238, 112, 256)(95, 239, 115, 259)(97, 241, 113, 257)(101, 245, 109, 253)(102, 246, 120, 264)(104, 248, 111, 255)(105, 249, 108, 252)(106, 250, 124, 268)(125, 269, 138, 282)(126, 270, 136, 280)(127, 271, 140, 284)(128, 272, 134, 278)(129, 273, 139, 283)(130, 274, 133, 277)(131, 275, 137, 281)(132, 276, 135, 279)(141, 285, 144, 288)(142, 286, 143, 287)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 341, 485, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 336, 480, 333, 477, 353, 497, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 358, 502, 325, 469, 342, 486, 330, 474, 308, 452)(299, 443, 311, 455, 335, 479, 321, 465, 348, 492, 367, 511, 337, 481, 312, 456)(301, 445, 315, 459, 343, 487, 372, 516, 340, 484, 327, 471, 345, 489, 316, 460)(305, 449, 323, 467, 355, 499, 332, 476, 309, 453, 331, 475, 357, 501, 324, 468)(313, 457, 338, 482, 369, 513, 347, 491, 317, 461, 346, 490, 371, 515, 339, 483)(319, 463, 349, 493, 378, 522, 356, 500, 384, 528, 409, 553, 379, 523, 350, 494)(329, 473, 354, 498, 385, 529, 395, 539, 388, 532, 362, 506, 392, 536, 360, 504)(334, 478, 363, 507, 396, 540, 370, 514, 402, 546, 391, 535, 397, 541, 364, 508)(344, 488, 368, 512, 403, 547, 377, 521, 406, 550, 376, 520, 410, 554, 374, 518)(351, 495, 380, 524, 413, 557, 383, 527, 352, 496, 382, 526, 414, 558, 381, 525)(359, 503, 389, 533, 419, 563, 394, 538, 361, 505, 393, 537, 420, 564, 390, 534)(365, 509, 398, 542, 421, 565, 401, 545, 366, 510, 400, 544, 422, 566, 399, 543)(373, 517, 407, 551, 427, 571, 412, 556, 375, 519, 411, 555, 428, 572, 408, 552)(386, 530, 415, 559, 429, 573, 418, 562, 387, 531, 417, 561, 430, 574, 416, 560)(404, 548, 423, 567, 431, 575, 426, 570, 405, 549, 425, 569, 432, 576, 424, 568)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 334)(24, 336)(25, 300)(26, 340)(27, 342)(28, 344)(29, 302)(30, 348)(31, 303)(32, 351)(33, 304)(34, 352)(35, 354)(36, 356)(37, 306)(38, 341)(39, 307)(40, 359)(41, 308)(42, 361)(43, 362)(44, 350)(45, 310)(46, 311)(47, 365)(48, 312)(49, 366)(50, 368)(51, 370)(52, 314)(53, 326)(54, 315)(55, 373)(56, 316)(57, 375)(58, 376)(59, 364)(60, 318)(61, 377)(62, 332)(63, 320)(64, 322)(65, 384)(66, 323)(67, 386)(68, 324)(69, 387)(70, 388)(71, 328)(72, 391)(73, 330)(74, 331)(75, 395)(76, 347)(77, 335)(78, 337)(79, 402)(80, 338)(81, 404)(82, 339)(83, 405)(84, 406)(85, 343)(86, 409)(87, 345)(88, 346)(89, 349)(90, 411)(91, 407)(92, 398)(93, 410)(94, 400)(95, 403)(96, 353)(97, 401)(98, 355)(99, 357)(100, 358)(101, 397)(102, 408)(103, 360)(104, 399)(105, 396)(106, 412)(107, 363)(108, 393)(109, 389)(110, 380)(111, 392)(112, 382)(113, 385)(114, 367)(115, 383)(116, 369)(117, 371)(118, 372)(119, 379)(120, 390)(121, 374)(122, 381)(123, 378)(124, 394)(125, 426)(126, 424)(127, 428)(128, 422)(129, 427)(130, 421)(131, 425)(132, 423)(133, 418)(134, 416)(135, 420)(136, 414)(137, 419)(138, 413)(139, 417)(140, 415)(141, 432)(142, 431)(143, 430)(144, 429)(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, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1567
Graph:: bipartite
	v = 90 e = 288 f = 156
	degree seq :: [ 4^72, 16^18 ]

E22.1565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-2 * Y2, Y1^2 * Y2^2 * Y1^-2 * Y2^2, Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-2, Y1^8, (Y1^-1 * Y2 * Y1^-2)^2, Y2^5 * Y1^3 * Y2^-1 * Y1^-1, Y2^3 * Y1^-1 * Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 40, 184, 34, 178, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 57, 201, 83, 227, 42, 186, 29, 173, 11, 155)(5, 149, 14, 158, 35, 179, 75, 219, 84, 228, 51, 195, 20, 164, 7, 151)(8, 152, 21, 165, 52, 196, 33, 177, 73, 217, 91, 235, 44, 188, 17, 161)(10, 154, 25, 169, 46, 190, 93, 237, 82, 226, 110, 254, 65, 209, 27, 171)(12, 156, 30, 174, 69, 213, 86, 230, 41, 185, 18, 162, 45, 189, 32, 176)(15, 159, 38, 182, 43, 187, 88, 232, 62, 206, 112, 256, 74, 218, 36, 180)(19, 163, 47, 191, 87, 231, 125, 269, 108, 252, 58, 202, 24, 168, 49, 193)(22, 166, 55, 199, 85, 229, 123, 267, 96, 240, 71, 215, 31, 175, 53, 197)(26, 170, 61, 205, 100, 244, 79, 223, 39, 183, 81, 225, 114, 258, 63, 207)(28, 172, 66, 210, 117, 261, 137, 281, 109, 253, 59, 203, 111, 255, 68, 212)(37, 181, 77, 221, 101, 245, 50, 194, 99, 243, 134, 278, 113, 257, 76, 220)(48, 192, 95, 239, 78, 222, 105, 249, 56, 200, 107, 251, 133, 277, 97, 241)(54, 198, 103, 247, 127, 271, 90, 234, 126, 270, 142, 286, 132, 276, 102, 246)(60, 204, 106, 250, 129, 273, 121, 265, 70, 214, 119, 263, 67, 211, 98, 242)(64, 208, 89, 233, 80, 224, 104, 248, 130, 274, 94, 238, 131, 275, 116, 260)(72, 216, 92, 236, 128, 272, 141, 285, 124, 268, 118, 262, 140, 284, 115, 259)(120, 264, 138, 282, 144, 288, 135, 279, 122, 266, 139, 283, 143, 287, 136, 280)(289, 433, 291, 435, 298, 442, 314, 458, 350, 494, 372, 516, 328, 472, 371, 515, 370, 514, 327, 471, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 336, 480, 384, 528, 361, 505, 322, 466, 363, 507, 396, 540, 344, 488, 310, 454, 296, 440)(292, 436, 300, 444, 319, 463, 358, 502, 375, 519, 330, 474, 304, 448, 329, 473, 373, 517, 348, 492, 312, 456, 297, 441)(294, 438, 305, 449, 331, 475, 377, 521, 353, 497, 318, 462, 301, 445, 321, 465, 362, 506, 382, 526, 334, 478, 306, 450)(299, 443, 316, 460, 355, 499, 406, 550, 357, 501, 398, 542, 345, 489, 397, 541, 417, 561, 380, 524, 333, 477, 313, 457)(302, 446, 324, 468, 340, 484, 390, 534, 421, 565, 387, 531, 339, 483, 376, 520, 332, 476, 378, 522, 366, 510, 325, 469)(308, 452, 338, 482, 388, 532, 347, 491, 311, 455, 346, 490, 323, 467, 364, 508, 402, 546, 354, 498, 317, 461, 335, 479)(309, 453, 341, 485, 320, 464, 360, 504, 404, 548, 414, 558, 379, 523, 411, 555, 374, 518, 412, 556, 392, 536, 342, 486)(315, 459, 352, 496, 403, 547, 427, 571, 405, 549, 369, 513, 381, 525, 418, 562, 429, 573, 426, 570, 399, 543, 349, 493)(326, 470, 367, 511, 389, 533, 423, 567, 430, 574, 419, 563, 400, 544, 351, 495, 401, 545, 424, 568, 391, 535, 368, 512)(337, 481, 386, 530, 356, 500, 408, 552, 422, 566, 395, 539, 413, 557, 409, 553, 425, 569, 410, 554, 365, 509, 383, 527)(343, 487, 393, 537, 415, 559, 431, 575, 428, 572, 407, 551, 359, 503, 385, 529, 420, 564, 432, 576, 416, 560, 394, 538)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 324)(15, 293)(16, 329)(17, 331)(18, 294)(19, 336)(20, 338)(21, 341)(22, 296)(23, 346)(24, 297)(25, 299)(26, 350)(27, 352)(28, 355)(29, 335)(30, 301)(31, 358)(32, 360)(33, 362)(34, 363)(35, 364)(36, 340)(37, 302)(38, 367)(39, 303)(40, 371)(41, 373)(42, 304)(43, 377)(44, 378)(45, 313)(46, 306)(47, 308)(48, 384)(49, 386)(50, 388)(51, 376)(52, 390)(53, 320)(54, 309)(55, 393)(56, 310)(57, 397)(58, 323)(59, 311)(60, 312)(61, 315)(62, 372)(63, 401)(64, 403)(65, 318)(66, 317)(67, 406)(68, 408)(69, 398)(70, 375)(71, 385)(72, 404)(73, 322)(74, 382)(75, 396)(76, 402)(77, 383)(78, 325)(79, 389)(80, 326)(81, 381)(82, 327)(83, 370)(84, 328)(85, 348)(86, 412)(87, 330)(88, 332)(89, 353)(90, 366)(91, 411)(92, 333)(93, 418)(94, 334)(95, 337)(96, 361)(97, 420)(98, 356)(99, 339)(100, 347)(101, 423)(102, 421)(103, 368)(104, 342)(105, 415)(106, 343)(107, 413)(108, 344)(109, 417)(110, 345)(111, 349)(112, 351)(113, 424)(114, 354)(115, 427)(116, 414)(117, 369)(118, 357)(119, 359)(120, 422)(121, 425)(122, 365)(123, 374)(124, 392)(125, 409)(126, 379)(127, 431)(128, 394)(129, 380)(130, 429)(131, 400)(132, 432)(133, 387)(134, 395)(135, 430)(136, 391)(137, 410)(138, 399)(139, 405)(140, 407)(141, 426)(142, 419)(143, 428)(144, 416)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.1566
Graph:: bipartite
	v = 30 e = 288 f = 216
	degree seq :: [ 16^18, 24^12 ]

E22.1566 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2, Y3 * Y2 * Y3 * Y2 * Y3^-5 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^12 ]
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, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 347, 491)(322, 466, 339, 483)(323, 467, 338, 482)(324, 468, 346, 490)(326, 470, 361, 505)(328, 472, 348, 492)(330, 474, 340, 484)(331, 475, 336, 480)(332, 476, 344, 488)(334, 478, 371, 515)(342, 486, 383, 527)(350, 494, 393, 537)(351, 495, 384, 528)(352, 496, 395, 539)(353, 497, 382, 526)(354, 498, 394, 538)(355, 499, 396, 540)(356, 500, 392, 536)(357, 501, 379, 523)(358, 502, 389, 533)(359, 503, 386, 530)(360, 504, 375, 519)(362, 506, 373, 517)(363, 507, 402, 546)(364, 508, 381, 525)(365, 509, 401, 545)(366, 510, 391, 535)(367, 511, 380, 524)(368, 512, 390, 534)(369, 513, 388, 532)(370, 514, 378, 522)(372, 516, 376, 520)(374, 518, 408, 552)(377, 521, 409, 553)(385, 529, 415, 559)(387, 531, 414, 558)(397, 541, 413, 557)(398, 542, 420, 564)(399, 543, 417, 561)(400, 544, 410, 554)(403, 547, 416, 560)(404, 548, 412, 556)(405, 549, 419, 563)(406, 550, 418, 562)(407, 551, 411, 555)(421, 565, 431, 575)(422, 566, 428, 572)(423, 567, 430, 574)(424, 568, 429, 573)(425, 569, 427, 571)(426, 570, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 353)(33, 354)(34, 304)(35, 357)(36, 305)(37, 359)(38, 362)(39, 363)(40, 364)(41, 365)(42, 308)(43, 367)(44, 309)(45, 369)(46, 310)(47, 373)(48, 375)(49, 376)(50, 312)(51, 379)(52, 313)(53, 381)(54, 384)(55, 385)(56, 386)(57, 387)(58, 316)(59, 389)(60, 317)(61, 391)(62, 318)(63, 327)(64, 319)(65, 377)(66, 329)(67, 321)(68, 322)(69, 397)(70, 324)(71, 399)(72, 325)(73, 401)(74, 403)(75, 388)(76, 374)(77, 378)(78, 330)(79, 404)(80, 332)(81, 406)(82, 333)(83, 396)(84, 334)(85, 343)(86, 335)(87, 355)(88, 345)(89, 337)(90, 338)(91, 410)(92, 340)(93, 412)(94, 341)(95, 414)(96, 416)(97, 366)(98, 352)(99, 356)(100, 346)(101, 417)(102, 348)(103, 419)(104, 349)(105, 409)(106, 350)(107, 371)(108, 422)(109, 421)(110, 358)(111, 423)(112, 360)(113, 425)(114, 361)(115, 372)(116, 426)(117, 368)(118, 424)(119, 370)(120, 393)(121, 428)(122, 427)(123, 380)(124, 429)(125, 382)(126, 431)(127, 383)(128, 394)(129, 432)(130, 390)(131, 430)(132, 392)(133, 395)(134, 398)(135, 407)(136, 400)(137, 405)(138, 402)(139, 408)(140, 411)(141, 420)(142, 413)(143, 418)(144, 415)(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) :: { ( 16, 24 ), ( 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1565
Graph:: simple bipartite
	v = 216 e = 288 f = 30
	degree seq :: [ 2^144, 4^72 ]

E22.1567 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|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 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-5 * Y3 * Y1^-1, Y1^12 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 85, 229, 84, 228, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 63, 207, 101, 245, 120, 264, 103, 247, 74, 218, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 99, 243, 68, 212, 111, 255, 71, 215, 106, 250, 62, 206, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 75, 219, 110, 254, 67, 211, 86, 230, 70, 214, 112, 256, 78, 222, 42, 186, 20, 164)(12, 156, 25, 169, 51, 195, 93, 237, 127, 271, 102, 246, 83, 227, 104, 248, 130, 274, 98, 242, 54, 198, 26, 170)(16, 160, 33, 177, 66, 210, 91, 235, 60, 204, 29, 173, 59, 203, 41, 185, 77, 221, 95, 239, 52, 196, 34, 178)(17, 161, 35, 179, 69, 213, 90, 234, 58, 202, 28, 172, 57, 201, 40, 184, 76, 220, 96, 240, 53, 197, 36, 180)(21, 165, 43, 187, 79, 223, 116, 260, 122, 266, 88, 232, 48, 192, 87, 231, 121, 265, 117, 261, 80, 224, 44, 188)(24, 168, 49, 193, 89, 233, 123, 267, 119, 263, 82, 226, 45, 189, 81, 225, 118, 262, 126, 270, 92, 236, 50, 194)(32, 176, 61, 205, 94, 238, 125, 269, 139, 283, 136, 280, 115, 259, 131, 275, 144, 288, 135, 279, 109, 253, 65, 209)(37, 181, 56, 200, 97, 241, 124, 268, 140, 284, 133, 277, 107, 251, 132, 276, 143, 287, 137, 281, 113, 257, 72, 216)(64, 208, 108, 252, 134, 278, 142, 286, 129, 273, 105, 249, 73, 217, 114, 258, 138, 282, 141, 285, 128, 272, 100, 244)(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, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 352)(32, 303)(33, 355)(34, 356)(35, 358)(36, 359)(37, 306)(38, 361)(39, 360)(40, 307)(41, 308)(42, 353)(43, 354)(44, 357)(45, 310)(46, 371)(47, 374)(48, 311)(49, 378)(50, 379)(51, 382)(52, 313)(53, 314)(54, 385)(55, 388)(56, 315)(57, 389)(58, 390)(59, 391)(60, 392)(61, 318)(62, 393)(63, 395)(64, 319)(65, 330)(66, 331)(67, 321)(68, 322)(69, 332)(70, 323)(71, 324)(72, 327)(73, 326)(74, 403)(75, 396)(76, 376)(77, 375)(78, 402)(79, 397)(80, 401)(81, 384)(82, 383)(83, 334)(84, 399)(85, 408)(86, 335)(87, 365)(88, 364)(89, 412)(90, 337)(91, 338)(92, 413)(93, 416)(94, 339)(95, 370)(96, 369)(97, 342)(98, 417)(99, 419)(100, 343)(101, 345)(102, 346)(103, 347)(104, 348)(105, 350)(106, 420)(107, 351)(108, 363)(109, 367)(110, 424)(111, 372)(112, 421)(113, 368)(114, 366)(115, 362)(116, 422)(117, 426)(118, 425)(119, 423)(120, 373)(121, 427)(122, 428)(123, 429)(124, 377)(125, 380)(126, 430)(127, 431)(128, 381)(129, 386)(130, 432)(131, 387)(132, 394)(133, 400)(134, 404)(135, 407)(136, 398)(137, 406)(138, 405)(139, 409)(140, 410)(141, 411)(142, 414)(143, 415)(144, 418)(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, 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 E22.1564
Graph:: simple bipartite
	v = 156 e = 288 f = 90
	degree seq :: [ 2^144, 24^12 ]

E22.1568 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|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^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1, Y1 * Y2^-1 * Y1 * Y2 * R * Y1 * Y2 * Y1 * Y2^-1 * R, Y2^12, Y2 * Y1 * Y2^-1 * R * Y2^5 * R * Y2^-1 * Y1, Y2^5 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 59, 203)(34, 178, 51, 195)(35, 179, 50, 194)(36, 180, 58, 202)(38, 182, 73, 217)(40, 184, 60, 204)(42, 186, 52, 196)(43, 187, 48, 192)(44, 188, 56, 200)(46, 190, 83, 227)(54, 198, 95, 239)(62, 206, 105, 249)(63, 207, 96, 240)(64, 208, 107, 251)(65, 209, 94, 238)(66, 210, 106, 250)(67, 211, 108, 252)(68, 212, 104, 248)(69, 213, 91, 235)(70, 214, 101, 245)(71, 215, 98, 242)(72, 216, 87, 231)(74, 218, 85, 229)(75, 219, 114, 258)(76, 220, 93, 237)(77, 221, 113, 257)(78, 222, 103, 247)(79, 223, 92, 236)(80, 224, 102, 246)(81, 225, 100, 244)(82, 226, 90, 234)(84, 228, 88, 232)(86, 230, 120, 264)(89, 233, 121, 265)(97, 241, 127, 271)(99, 243, 126, 270)(109, 253, 125, 269)(110, 254, 132, 276)(111, 255, 129, 273)(112, 256, 122, 266)(115, 259, 128, 272)(116, 260, 124, 268)(117, 261, 131, 275)(118, 262, 130, 274)(119, 263, 123, 267)(133, 277, 143, 287)(134, 278, 140, 284)(135, 279, 142, 286)(136, 280, 141, 285)(137, 281, 139, 283)(138, 282, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 362, 506, 403, 547, 372, 516, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 384, 528, 416, 560, 394, 538, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 353, 497, 377, 521, 337, 481, 376, 520, 345, 489, 387, 531, 356, 500, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 364, 508, 374, 518, 335, 479, 373, 517, 343, 487, 385, 529, 366, 510, 330, 474, 308, 452)(299, 443, 311, 455, 336, 480, 375, 519, 355, 499, 321, 465, 354, 498, 329, 473, 365, 509, 378, 522, 338, 482, 312, 456)(301, 445, 315, 459, 344, 488, 386, 530, 352, 496, 319, 463, 351, 495, 327, 471, 363, 507, 388, 532, 346, 490, 316, 460)(305, 449, 323, 467, 357, 501, 397, 541, 421, 565, 395, 539, 371, 515, 396, 540, 422, 566, 398, 542, 358, 502, 324, 468)(309, 453, 331, 475, 367, 511, 404, 548, 426, 570, 402, 546, 361, 505, 401, 545, 425, 569, 405, 549, 368, 512, 332, 476)(313, 457, 339, 483, 379, 523, 410, 554, 427, 571, 408, 552, 393, 537, 409, 553, 428, 572, 411, 555, 380, 524, 340, 484)(317, 461, 347, 491, 389, 533, 417, 561, 432, 576, 415, 559, 383, 527, 414, 558, 431, 575, 418, 562, 390, 534, 348, 492)(325, 469, 359, 503, 399, 543, 423, 567, 407, 551, 370, 514, 333, 477, 369, 513, 406, 550, 424, 568, 400, 544, 360, 504)(341, 485, 381, 525, 412, 556, 429, 573, 420, 564, 392, 536, 349, 493, 391, 535, 419, 563, 430, 574, 413, 557, 382, 526)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 347)(33, 304)(34, 339)(35, 338)(36, 346)(37, 306)(38, 361)(39, 307)(40, 348)(41, 308)(42, 340)(43, 336)(44, 344)(45, 310)(46, 371)(47, 311)(48, 331)(49, 312)(50, 323)(51, 322)(52, 330)(53, 314)(54, 383)(55, 315)(56, 332)(57, 316)(58, 324)(59, 320)(60, 328)(61, 318)(62, 393)(63, 384)(64, 395)(65, 382)(66, 394)(67, 396)(68, 392)(69, 379)(70, 389)(71, 386)(72, 375)(73, 326)(74, 373)(75, 402)(76, 381)(77, 401)(78, 391)(79, 380)(80, 390)(81, 388)(82, 378)(83, 334)(84, 376)(85, 362)(86, 408)(87, 360)(88, 372)(89, 409)(90, 370)(91, 357)(92, 367)(93, 364)(94, 353)(95, 342)(96, 351)(97, 415)(98, 359)(99, 414)(100, 369)(101, 358)(102, 368)(103, 366)(104, 356)(105, 350)(106, 354)(107, 352)(108, 355)(109, 413)(110, 420)(111, 417)(112, 410)(113, 365)(114, 363)(115, 416)(116, 412)(117, 419)(118, 418)(119, 411)(120, 374)(121, 377)(122, 400)(123, 407)(124, 404)(125, 397)(126, 387)(127, 385)(128, 403)(129, 399)(130, 406)(131, 405)(132, 398)(133, 431)(134, 428)(135, 430)(136, 429)(137, 427)(138, 432)(139, 425)(140, 422)(141, 424)(142, 423)(143, 421)(144, 426)(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, 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 E22.1569
Graph:: bipartite
	v = 84 e = 288 f = 162
	degree seq :: [ 4^72, 24^12 ]

E22.1569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 12})
Quotient :: dipole
Aut^+ = ((C3 x C3) : Q8) : C2 (small group id <144, 118>)
Aut   = $<288, 872>$ (small group id <288, 872>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-2 * Y1^-2 * Y3^-2 * Y1, Y1^8, (Y1 * Y3^-1 * Y1^2)^2, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^-2 * Y1, Y3^4 * Y1^-2 * Y3^-2 * Y1^-2, Y3^3 * Y1^-1 * Y3^3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 40, 184, 34, 178, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 57, 201, 83, 227, 42, 186, 29, 173, 11, 155)(5, 149, 14, 158, 35, 179, 75, 219, 84, 228, 51, 195, 20, 164, 7, 151)(8, 152, 21, 165, 52, 196, 33, 177, 73, 217, 91, 235, 44, 188, 17, 161)(10, 154, 25, 169, 46, 190, 93, 237, 82, 226, 110, 254, 65, 209, 27, 171)(12, 156, 30, 174, 69, 213, 86, 230, 41, 185, 18, 162, 45, 189, 32, 176)(15, 159, 38, 182, 43, 187, 88, 232, 62, 206, 112, 256, 74, 218, 36, 180)(19, 163, 47, 191, 87, 231, 125, 269, 108, 252, 58, 202, 24, 168, 49, 193)(22, 166, 55, 199, 85, 229, 123, 267, 96, 240, 71, 215, 31, 175, 53, 197)(26, 170, 61, 205, 100, 244, 79, 223, 39, 183, 81, 225, 114, 258, 63, 207)(28, 172, 66, 210, 117, 261, 137, 281, 109, 253, 59, 203, 111, 255, 68, 212)(37, 181, 77, 221, 101, 245, 50, 194, 99, 243, 134, 278, 113, 257, 76, 220)(48, 192, 95, 239, 78, 222, 105, 249, 56, 200, 107, 251, 133, 277, 97, 241)(54, 198, 103, 247, 127, 271, 90, 234, 126, 270, 142, 286, 132, 276, 102, 246)(60, 204, 106, 250, 129, 273, 121, 265, 70, 214, 119, 263, 67, 211, 98, 242)(64, 208, 89, 233, 80, 224, 104, 248, 130, 274, 94, 238, 131, 275, 116, 260)(72, 216, 92, 236, 128, 272, 141, 285, 124, 268, 118, 262, 140, 284, 115, 259)(120, 264, 138, 282, 144, 288, 135, 279, 122, 266, 139, 283, 143, 287, 136, 280)(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, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 324)(15, 293)(16, 329)(17, 331)(18, 294)(19, 336)(20, 338)(21, 341)(22, 296)(23, 346)(24, 297)(25, 299)(26, 350)(27, 352)(28, 355)(29, 335)(30, 301)(31, 358)(32, 360)(33, 362)(34, 363)(35, 364)(36, 340)(37, 302)(38, 367)(39, 303)(40, 371)(41, 373)(42, 304)(43, 377)(44, 378)(45, 313)(46, 306)(47, 308)(48, 384)(49, 386)(50, 388)(51, 376)(52, 390)(53, 320)(54, 309)(55, 393)(56, 310)(57, 397)(58, 323)(59, 311)(60, 312)(61, 315)(62, 372)(63, 401)(64, 403)(65, 318)(66, 317)(67, 406)(68, 408)(69, 398)(70, 375)(71, 385)(72, 404)(73, 322)(74, 382)(75, 396)(76, 402)(77, 383)(78, 325)(79, 389)(80, 326)(81, 381)(82, 327)(83, 370)(84, 328)(85, 348)(86, 412)(87, 330)(88, 332)(89, 353)(90, 366)(91, 411)(92, 333)(93, 418)(94, 334)(95, 337)(96, 361)(97, 420)(98, 356)(99, 339)(100, 347)(101, 423)(102, 421)(103, 368)(104, 342)(105, 415)(106, 343)(107, 413)(108, 344)(109, 417)(110, 345)(111, 349)(112, 351)(113, 424)(114, 354)(115, 427)(116, 414)(117, 369)(118, 357)(119, 359)(120, 422)(121, 425)(122, 365)(123, 374)(124, 392)(125, 409)(126, 379)(127, 431)(128, 394)(129, 380)(130, 429)(131, 400)(132, 432)(133, 387)(134, 395)(135, 430)(136, 391)(137, 410)(138, 399)(139, 405)(140, 407)(141, 426)(142, 419)(143, 428)(144, 416)(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, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1568
Graph:: simple bipartite
	v = 162 e = 288 f = 84
	degree seq :: [ 2^144, 16^18 ]

E22.1570 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 101, 113, 125, 124, 112, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 107, 119, 131, 136, 129, 115, 102, 93, 79, 66, 57, 41, 24, 18, 8)(6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 111, 123, 135, 139, 127, 114, 105, 91, 78, 69, 55, 40, 30, 14)(9, 19, 36, 50, 62, 74, 86, 98, 110, 122, 134, 137, 126, 117, 103, 90, 81, 67, 54, 44, 26, 12, 25, 20)(16, 28, 42, 35, 46, 58, 70, 82, 94, 106, 118, 130, 140, 144, 142, 132, 121, 109, 96, 85, 73, 60, 49, 33)(17, 29, 43, 56, 68, 80, 92, 104, 116, 128, 138, 143, 141, 133, 120, 108, 97, 84, 72, 61, 48, 32, 45, 34)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 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, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 132)(123, 133)(124, 135)(125, 136)(127, 138)(129, 140)(131, 141)(134, 142)(137, 143)(139, 144)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1573
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1571 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 61, 73, 85, 97, 109, 121, 120, 108, 96, 84, 72, 60, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 67, 79, 91, 103, 115, 127, 132, 123, 110, 99, 86, 75, 62, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 58, 70, 82, 94, 106, 118, 130, 133, 122, 111, 98, 87, 74, 63, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 64, 77, 88, 101, 112, 125, 134, 141, 137, 128, 116, 104, 92, 80, 68, 56, 40, 27)(23, 36, 24, 38, 50, 65, 76, 89, 100, 113, 124, 135, 140, 139, 131, 119, 107, 95, 83, 71, 59, 45, 30, 37)(41, 53, 42, 57, 69, 81, 93, 105, 117, 129, 138, 143, 144, 142, 136, 126, 114, 102, 90, 78, 66, 54, 43, 52)
	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, 59)(45, 57)(46, 58)(47, 62)(49, 64)(51, 66)(55, 68)(56, 69)(60, 67)(61, 74)(63, 76)(65, 78)(70, 83)(71, 81)(72, 82)(73, 86)(75, 88)(77, 90)(79, 92)(80, 93)(84, 91)(85, 98)(87, 100)(89, 102)(94, 107)(95, 105)(96, 106)(97, 110)(99, 112)(101, 114)(103, 116)(104, 117)(108, 115)(109, 122)(111, 124)(113, 126)(118, 131)(119, 129)(120, 130)(121, 132)(123, 134)(125, 136)(127, 137)(128, 138)(133, 140)(135, 142)(139, 143)(141, 144)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1574
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1572 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^-4 * T2 * T1^4 * T2, (T1^-1 * T2)^6, (T1^-4 * T2 * T1^-2)^2, T1^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 80, 115, 105, 71, 37, 61, 90, 64, 32, 56, 87, 121, 114, 79, 46, 22, 10, 4)(3, 7, 15, 31, 48, 82, 118, 112, 77, 44, 21, 43, 54, 26, 12, 25, 51, 86, 116, 107, 73, 38, 18, 8)(6, 13, 27, 55, 81, 117, 111, 76, 42, 20, 9, 19, 39, 50, 24, 49, 83, 120, 113, 78, 45, 62, 30, 14)(16, 33, 52, 88, 119, 140, 137, 104, 70, 36, 17, 35, 53, 89, 63, 97, 124, 143, 138, 106, 72, 102, 67, 34)(28, 57, 84, 122, 139, 135, 109, 75, 41, 60, 29, 59, 85, 123, 91, 127, 141, 134, 110, 132, 96, 74, 40, 58)(65, 98, 133, 108, 131, 94, 128, 92, 69, 101, 66, 100, 126, 144, 125, 95, 130, 93, 129, 142, 136, 103, 68, 99)
	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, 63)(33, 65)(34, 66)(35, 68)(36, 69)(38, 72)(39, 64)(42, 71)(43, 67)(44, 70)(46, 73)(47, 81)(49, 84)(50, 85)(51, 87)(54, 90)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 108)(75, 98)(76, 110)(77, 105)(78, 109)(79, 111)(80, 116)(82, 119)(83, 121)(86, 124)(88, 125)(89, 126)(97, 133)(99, 134)(100, 135)(101, 127)(102, 136)(103, 122)(104, 129)(106, 128)(107, 137)(112, 138)(113, 115)(114, 118)(117, 139)(120, 141)(123, 142)(130, 143)(131, 140)(132, 144)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1575
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1573 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, (T1^-1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 52, 48, 54, 47, 53)(55, 85, 57, 89, 56, 87)(58, 91, 60, 97, 63, 93)(59, 94, 64, 105, 67, 96)(61, 99, 68, 103, 62, 101)(65, 107, 72, 111, 66, 109)(69, 114, 71, 118, 70, 116)(73, 121, 75, 125, 74, 123)(76, 127, 78, 131, 77, 129)(79, 133, 81, 137, 80, 135)(82, 139, 84, 143, 83, 141)(86, 140, 90, 144, 88, 142)(92, 136, 98, 134, 104, 138)(95, 130, 106, 128, 112, 132)(100, 122, 113, 126, 102, 124)(108, 115, 120, 119, 110, 117)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 63)(53, 60)(54, 58)(59, 89)(61, 91)(62, 93)(64, 87)(65, 94)(66, 96)(67, 85)(68, 97)(69, 99)(70, 101)(71, 103)(72, 105)(73, 107)(74, 109)(75, 111)(76, 114)(77, 116)(78, 118)(79, 121)(80, 123)(81, 125)(82, 127)(83, 129)(84, 131)(86, 133)(88, 135)(90, 137)(92, 143)(95, 144)(98, 141)(100, 136)(102, 138)(104, 139)(106, 142)(108, 130)(110, 132)(112, 140)(113, 134)(115, 122)(117, 124)(119, 126)(120, 128)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1570
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1574 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T1^6, (T1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 20, 12, 8)(6, 13, 9, 18, 19, 14)(16, 23, 17, 25, 27, 24)(21, 28, 22, 30, 26, 29)(31, 37, 32, 39, 33, 38)(34, 40, 35, 42, 36, 41)(43, 49, 44, 51, 45, 50)(46, 52, 47, 54, 48, 53)(55, 91, 56, 93, 57, 95)(58, 97, 62, 109, 67, 100)(59, 101, 68, 108, 61, 103)(60, 104, 70, 123, 69, 106)(63, 112, 66, 118, 73, 114)(64, 98, 74, 117, 65, 110)(71, 125, 72, 128, 78, 127)(75, 132, 76, 135, 77, 134)(79, 139, 80, 142, 81, 141)(82, 144, 83, 140, 84, 143)(85, 137, 86, 133, 87, 136)(88, 126, 89, 129, 90, 138)(92, 113, 94, 119, 96, 130)(99, 102, 111, 121, 120, 107)(105, 115, 124, 131, 122, 116)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 55)(50, 56)(51, 57)(52, 74)(53, 65)(54, 64)(58, 98)(59, 93)(60, 101)(61, 95)(62, 110)(63, 109)(66, 97)(67, 117)(68, 91)(69, 108)(70, 103)(71, 123)(72, 104)(73, 100)(75, 118)(76, 112)(77, 114)(78, 106)(79, 128)(80, 125)(81, 127)(82, 135)(83, 132)(84, 134)(85, 142)(86, 139)(87, 141)(88, 140)(89, 144)(90, 143)(92, 133)(94, 137)(96, 136)(99, 122)(102, 130)(105, 120)(107, 113)(111, 124)(115, 138)(116, 126)(119, 121)(129, 131)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1571
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1575 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^24 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 44, 73, 47, 24)(16, 31, 45, 75, 59, 32)(17, 33, 46, 76, 62, 34)(21, 40, 67, 96, 68, 41)(22, 42, 69, 97, 72, 43)(26, 50, 70, 65, 37, 51)(27, 52, 71, 66, 38, 53)(30, 49, 74, 98, 85, 56)(35, 54, 77, 99, 92, 63)(55, 83, 100, 125, 113, 84)(57, 86, 111, 90, 60, 87)(58, 88, 112, 91, 61, 89)(78, 103, 124, 120, 93, 104)(79, 105, 129, 109, 81, 106)(80, 107, 130, 110, 82, 108)(94, 121, 140, 123, 95, 122)(101, 126, 141, 128, 102, 127)(114, 131, 142, 137, 116, 133)(115, 132, 143, 138, 117, 134)(118, 135, 144, 139, 119, 136)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 57)(32, 58)(33, 60)(34, 61)(36, 56)(39, 63)(40, 59)(41, 62)(42, 70)(43, 71)(44, 74)(47, 77)(48, 78)(50, 79)(51, 80)(52, 81)(53, 82)(64, 93)(65, 94)(66, 95)(67, 85)(68, 92)(69, 98)(72, 99)(73, 100)(75, 101)(76, 102)(83, 111)(84, 112)(86, 114)(87, 115)(88, 116)(89, 117)(90, 118)(91, 119)(96, 113)(97, 124)(103, 129)(104, 130)(105, 131)(106, 132)(107, 133)(108, 134)(109, 135)(110, 136)(120, 140)(121, 137)(122, 138)(123, 139)(125, 141)(126, 142)(127, 143)(128, 144)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1572
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1576 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 55, 51, 57, 50, 56)(52, 88, 54, 90, 53, 89)(58, 94, 64, 104, 65, 95)(59, 96, 66, 105, 67, 97)(60, 98, 70, 100, 61, 99)(62, 101, 74, 103, 63, 102)(68, 106, 71, 108, 69, 107)(72, 109, 75, 111, 73, 110)(76, 112, 78, 114, 77, 113)(79, 115, 81, 117, 80, 116)(82, 118, 84, 120, 83, 119)(85, 121, 87, 123, 86, 122)(91, 127, 93, 129, 92, 128)(124, 144, 125, 142, 126, 143)(130, 136, 131, 137, 132, 138)(133, 139, 134, 140, 135, 141)(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, 193)(188, 194)(189, 195)(190, 196)(191, 197)(192, 198)(199, 203)(200, 211)(201, 210)(202, 232)(204, 240)(205, 241)(206, 238)(207, 239)(208, 234)(209, 233)(212, 242)(213, 243)(214, 249)(215, 244)(216, 245)(217, 246)(218, 248)(219, 247)(220, 250)(221, 251)(222, 252)(223, 253)(224, 254)(225, 255)(226, 256)(227, 257)(228, 258)(229, 259)(230, 260)(231, 261)(235, 262)(236, 263)(237, 264)(265, 268)(266, 270)(267, 269)(271, 277)(272, 279)(273, 278)(274, 288)(275, 286)(276, 287)(280, 283)(281, 284)(282, 285)
	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) :: { ( 48, 48 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1588
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 6
	degree seq :: [ 2^72, 6^24 ]

E22.1577 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 9, 18, 25, 16)(11, 19, 13, 22, 29, 20)(23, 31, 24, 33, 26, 32)(27, 34, 28, 36, 30, 35)(37, 43, 38, 45, 39, 44)(40, 46, 41, 48, 42, 47)(49, 55, 50, 57, 51, 56)(52, 109, 53, 111, 54, 113)(58, 116, 65, 120, 67, 118)(59, 121, 69, 126, 71, 122)(60, 105, 74, 104, 61, 103)(62, 102, 78, 101, 63, 100)(64, 123, 66, 125, 82, 124)(68, 127, 70, 130, 86, 129)(72, 91, 75, 93, 73, 92)(76, 88, 79, 90, 77, 89)(80, 132, 81, 135, 83, 134)(84, 138, 85, 141, 87, 140)(94, 144, 95, 139, 96, 142)(97, 137, 98, 133, 99, 136)(106, 128, 107, 131, 108, 143)(110, 119, 112, 115, 114, 117)(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, 193)(188, 194)(189, 195)(190, 196)(191, 197)(192, 198)(199, 259)(200, 261)(201, 263)(202, 246)(203, 249)(204, 235)(205, 237)(206, 232)(207, 234)(208, 264)(209, 244)(210, 260)(211, 245)(212, 270)(213, 247)(214, 265)(215, 248)(216, 223)(217, 221)(218, 236)(219, 220)(222, 233)(224, 269)(225, 267)(226, 262)(227, 268)(228, 274)(229, 271)(230, 266)(231, 273)(238, 279)(239, 276)(240, 278)(241, 285)(242, 282)(243, 284)(250, 283)(251, 288)(252, 286)(253, 275)(254, 277)(255, 272)(256, 281)(257, 287)(258, 280)
	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) :: { ( 48, 48 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1589
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 6
	degree seq :: [ 2^72, 6^24 ]

E22.1578 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1)^2, (T2^-1 * T1)^24 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 65, 39, 20)(11, 22, 43, 71, 45, 23)(13, 26, 50, 79, 52, 27)(17, 33, 60, 90, 61, 34)(21, 40, 67, 96, 68, 41)(24, 46, 74, 104, 75, 47)(28, 53, 81, 110, 82, 54)(29, 55, 84, 64, 36, 56)(31, 58, 88, 66, 38, 59)(35, 62, 91, 119, 92, 63)(42, 69, 98, 78, 49, 70)(44, 72, 102, 80, 51, 73)(48, 76, 105, 132, 106, 77)(83, 111, 137, 117, 87, 112)(85, 113, 138, 118, 89, 114)(86, 115, 139, 122, 94, 116)(93, 120, 140, 123, 95, 121)(97, 124, 141, 130, 101, 125)(99, 126, 142, 131, 103, 127)(100, 128, 143, 135, 108, 129)(107, 133, 144, 136, 109, 134)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 168)(158, 172)(159, 173)(160, 175)(162, 179)(163, 180)(164, 182)(166, 186)(167, 188)(169, 192)(170, 193)(171, 195)(174, 190)(176, 197)(177, 187)(178, 194)(181, 191)(183, 198)(184, 189)(185, 196)(199, 227)(200, 229)(201, 230)(202, 231)(203, 233)(204, 218)(205, 225)(206, 228)(207, 232)(208, 237)(209, 238)(210, 239)(211, 219)(212, 226)(213, 241)(214, 243)(215, 244)(216, 245)(217, 247)(220, 242)(221, 246)(222, 251)(223, 252)(224, 253)(234, 249)(235, 248)(236, 254)(240, 250)(255, 268)(256, 270)(257, 269)(258, 271)(259, 281)(260, 282)(261, 277)(262, 278)(263, 283)(264, 274)(265, 275)(266, 284)(267, 280)(272, 285)(273, 286)(276, 287)(279, 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) :: { ( 48, 48 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1590
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 6
	degree seq :: [ 2^72, 6^24 ]

E22.1579 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1^-3, (T2^-2 * T1)^2, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 109, 121, 133, 124, 112, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 104, 116, 128, 139, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22, 8)(4, 12, 26, 38, 50, 62, 74, 86, 98, 110, 122, 134, 141, 131, 119, 107, 95, 83, 71, 59, 47, 35, 23, 9)(6, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 136, 143, 137, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18)(11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 111, 123, 135, 142, 132, 120, 108, 96, 84, 72, 60, 48, 36, 24)(13, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 140, 144, 138, 127, 115, 103, 91, 79, 67, 55, 43, 31, 20)(145, 146, 150, 160, 157, 148)(147, 153, 161, 152, 165, 155)(149, 158, 162, 156, 164, 151)(154, 168, 173, 167, 177, 166)(159, 170, 174, 163, 175, 171)(169, 178, 185, 180, 189, 179)(172, 176, 186, 183, 187, 182)(181, 191, 197, 190, 201, 192)(184, 195, 198, 194, 199, 188)(193, 204, 209, 203, 213, 202)(196, 206, 210, 200, 211, 207)(205, 214, 221, 216, 225, 215)(208, 212, 222, 219, 223, 218)(217, 227, 233, 226, 237, 228)(220, 231, 234, 230, 235, 224)(229, 240, 245, 239, 249, 238)(232, 242, 246, 236, 247, 243)(241, 250, 257, 252, 261, 251)(244, 248, 258, 255, 259, 254)(253, 263, 269, 262, 273, 264)(256, 267, 270, 266, 271, 260)(265, 276, 280, 275, 284, 274)(268, 278, 281, 272, 282, 279)(277, 283, 287, 286, 288, 285)
	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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1591
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1580 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^24 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 33, 45, 57, 69, 81, 93, 105, 117, 129, 120, 108, 96, 84, 72, 60, 48, 36, 24, 13, 5)(2, 7, 17, 29, 41, 53, 65, 77, 89, 101, 113, 125, 136, 126, 114, 102, 90, 78, 66, 54, 42, 30, 18, 8)(4, 11, 23, 35, 47, 59, 71, 83, 95, 107, 119, 131, 138, 128, 116, 104, 92, 80, 68, 56, 44, 32, 20, 9)(6, 15, 27, 39, 51, 63, 75, 87, 99, 111, 123, 134, 142, 135, 124, 112, 100, 88, 76, 64, 52, 40, 28, 16)(12, 19, 31, 43, 55, 67, 79, 91, 103, 115, 127, 137, 143, 139, 130, 118, 106, 94, 82, 70, 58, 46, 34, 22)(14, 25, 37, 49, 61, 73, 85, 97, 109, 121, 132, 140, 144, 141, 133, 122, 110, 98, 86, 74, 62, 50, 38, 26)(145, 146, 150, 158, 156, 148)(147, 153, 163, 170, 159, 152)(149, 155, 166, 169, 160, 151)(154, 162, 171, 182, 175, 164)(157, 161, 172, 181, 178, 167)(165, 176, 187, 194, 183, 174)(168, 179, 190, 193, 184, 173)(177, 186, 195, 206, 199, 188)(180, 185, 196, 205, 202, 191)(189, 200, 211, 218, 207, 198)(192, 203, 214, 217, 208, 197)(201, 210, 219, 230, 223, 212)(204, 209, 220, 229, 226, 215)(213, 224, 235, 242, 231, 222)(216, 227, 238, 241, 232, 221)(225, 234, 243, 254, 247, 236)(228, 233, 244, 253, 250, 239)(237, 248, 259, 266, 255, 246)(240, 251, 262, 265, 256, 245)(249, 258, 267, 277, 271, 260)(252, 257, 268, 276, 274, 263)(261, 272, 281, 285, 278, 270)(264, 275, 283, 284, 279, 269)(273, 280, 286, 288, 287, 282)
	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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1592
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1581 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^6, T2^-2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1, T2^-1 * T1^-1 * T2 * T1^-2 * T2^-2 * T1, T2^2 * T1^-1 * T2^-5 * T1^-1 * T2, T1^-1 * T2^3 * T1^-1 * T2^4 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 61, 106, 129, 85, 52, 21, 51, 95, 134, 90, 47, 32, 66, 111, 137, 97, 76, 38, 15, 5)(2, 7, 19, 46, 91, 62, 108, 122, 86, 43, 37, 74, 104, 59, 25, 11, 28, 65, 113, 131, 98, 54, 22, 8)(4, 12, 31, 70, 107, 138, 94, 50, 36, 14, 35, 73, 105, 60, 27, 63, 110, 121, 117, 75, 103, 58, 24, 9)(6, 17, 41, 82, 126, 92, 135, 114, 123, 79, 53, 96, 133, 89, 45, 20, 48, 29, 67, 109, 132, 88, 44, 18)(13, 33, 64, 112, 141, 118, 72, 34, 57, 23, 56, 101, 139, 116, 71, 78, 120, 84, 128, 102, 140, 115, 69, 30)(16, 39, 77, 119, 142, 127, 100, 55, 99, 68, 87, 130, 144, 125, 81, 42, 83, 49, 93, 136, 143, 124, 80, 40)(145, 146, 150, 160, 157, 148)(147, 153, 167, 199, 173, 155)(149, 158, 178, 193, 164, 151)(152, 165, 194, 228, 186, 161)(154, 169, 185, 225, 208, 171)(156, 174, 212, 258, 209, 176)(159, 181, 188, 231, 213, 179)(162, 187, 229, 265, 222, 183)(163, 189, 221, 215, 175, 191)(166, 197, 224, 200, 168, 195)(170, 204, 245, 268, 253, 206)(172, 192, 227, 264, 254, 210)(177, 184, 223, 266, 255, 207)(180, 196, 230, 267, 243, 201)(182, 219, 262, 263, 233, 218)(190, 234, 217, 259, 280, 236)(198, 241, 282, 256, 269, 240)(202, 246, 271, 226, 203, 239)(205, 235, 270, 286, 285, 251)(211, 244, 272, 238, 281, 252)(214, 260, 274, 232, 275, 250)(216, 261, 273, 257, 279, 237)(220, 242, 276, 287, 284, 247)(248, 277, 288, 283, 249, 278)
	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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1593
Transitivity :: ET+
Graph:: simple bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1582 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 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, 102)(91, 104)(93, 106)(95, 108)(98, 109)(100, 107)(101, 114)(103, 116)(105, 118)(110, 120)(111, 121)(112, 122)(113, 126)(115, 128)(117, 130)(119, 132)(123, 133)(124, 135)(125, 136)(127, 138)(129, 140)(131, 141)(134, 142)(137, 143)(139, 144)(145, 146, 149, 155, 167, 183, 197, 209, 221, 233, 245, 257, 269, 268, 256, 244, 232, 220, 208, 196, 182, 166, 154, 148)(147, 151, 159, 175, 191, 203, 215, 227, 239, 251, 263, 275, 280, 273, 259, 246, 237, 223, 210, 201, 185, 168, 162, 152)(150, 157, 171, 165, 181, 195, 207, 219, 231, 243, 255, 267, 279, 283, 271, 258, 249, 235, 222, 213, 199, 184, 174, 158)(153, 163, 180, 194, 206, 218, 230, 242, 254, 266, 278, 281, 270, 261, 247, 234, 225, 211, 198, 188, 170, 156, 169, 164)(160, 172, 186, 179, 190, 202, 214, 226, 238, 250, 262, 274, 284, 288, 286, 276, 265, 253, 240, 229, 217, 204, 193, 177)(161, 173, 187, 200, 212, 224, 236, 248, 260, 272, 282, 287, 285, 277, 264, 252, 241, 228, 216, 205, 192, 176, 189, 178)
	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) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1585
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1583 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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, T1^24 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 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, 59)(45, 57)(46, 58)(47, 62)(49, 64)(51, 66)(55, 68)(56, 69)(60, 67)(61, 74)(63, 76)(65, 78)(70, 83)(71, 81)(72, 82)(73, 86)(75, 88)(77, 90)(79, 92)(80, 93)(84, 91)(85, 98)(87, 100)(89, 102)(94, 107)(95, 105)(96, 106)(97, 110)(99, 112)(101, 114)(103, 116)(104, 117)(108, 115)(109, 122)(111, 124)(113, 126)(118, 131)(119, 129)(120, 130)(121, 132)(123, 134)(125, 136)(127, 137)(128, 138)(133, 140)(135, 142)(139, 143)(141, 144)(145, 146, 149, 155, 164, 176, 191, 205, 217, 229, 241, 253, 265, 264, 252, 240, 228, 216, 204, 190, 175, 163, 154, 148)(147, 151, 159, 169, 183, 199, 211, 223, 235, 247, 259, 271, 276, 267, 254, 243, 230, 219, 206, 193, 177, 166, 156, 152)(150, 157, 153, 162, 173, 188, 202, 214, 226, 238, 250, 262, 274, 277, 266, 255, 242, 231, 218, 207, 192, 178, 165, 158)(160, 170, 161, 172, 179, 195, 208, 221, 232, 245, 256, 269, 278, 285, 281, 272, 260, 248, 236, 224, 212, 200, 184, 171)(167, 180, 168, 182, 194, 209, 220, 233, 244, 257, 268, 279, 284, 283, 275, 263, 251, 239, 227, 215, 203, 189, 174, 181)(185, 197, 186, 201, 213, 225, 237, 249, 261, 273, 282, 287, 288, 286, 280, 270, 258, 246, 234, 222, 210, 198, 187, 196)
	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) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1586
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1584 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^-4 * T2 * T1^4 * T2, (T2 * T1^-1)^6, (T1^-4 * T2 * T1^-2)^2, T1^24 ]
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, 63)(33, 65)(34, 66)(35, 68)(36, 69)(38, 72)(39, 64)(42, 71)(43, 67)(44, 70)(46, 73)(47, 81)(49, 84)(50, 85)(51, 87)(54, 90)(55, 91)(57, 92)(58, 93)(59, 94)(60, 95)(62, 96)(74, 108)(75, 98)(76, 110)(77, 105)(78, 109)(79, 111)(80, 116)(82, 119)(83, 121)(86, 124)(88, 125)(89, 126)(97, 133)(99, 134)(100, 135)(101, 127)(102, 136)(103, 122)(104, 129)(106, 128)(107, 137)(112, 138)(113, 115)(114, 118)(117, 139)(120, 141)(123, 142)(130, 143)(131, 140)(132, 144)(145, 146, 149, 155, 167, 191, 224, 259, 249, 215, 181, 205, 234, 208, 176, 200, 231, 265, 258, 223, 190, 166, 154, 148)(147, 151, 159, 175, 192, 226, 262, 256, 221, 188, 165, 187, 198, 170, 156, 169, 195, 230, 260, 251, 217, 182, 162, 152)(150, 157, 171, 199, 225, 261, 255, 220, 186, 164, 153, 163, 183, 194, 168, 193, 227, 264, 257, 222, 189, 206, 174, 158)(160, 177, 196, 232, 263, 284, 281, 248, 214, 180, 161, 179, 197, 233, 207, 241, 268, 287, 282, 250, 216, 246, 211, 178)(172, 201, 228, 266, 283, 279, 253, 219, 185, 204, 173, 203, 229, 267, 235, 271, 285, 278, 254, 276, 240, 218, 184, 202)(209, 242, 277, 252, 275, 238, 272, 236, 213, 245, 210, 244, 270, 288, 269, 239, 274, 237, 273, 286, 280, 247, 212, 243)
	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) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1587
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1585 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, (T2^-1 * T1)^24 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 17, 161, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 21, 165, 14, 158, 6, 150)(7, 151, 15, 159, 24, 168, 18, 162, 9, 153, 16, 160)(11, 155, 19, 163, 28, 172, 22, 166, 13, 157, 20, 164)(23, 167, 31, 175, 26, 170, 33, 177, 25, 169, 32, 176)(27, 171, 34, 178, 30, 174, 36, 180, 29, 173, 35, 179)(37, 181, 43, 187, 39, 183, 45, 189, 38, 182, 44, 188)(40, 184, 46, 190, 42, 186, 48, 192, 41, 185, 47, 191)(49, 193, 55, 199, 51, 195, 57, 201, 50, 194, 56, 200)(52, 196, 80, 224, 54, 198, 83, 227, 53, 197, 82, 226)(58, 202, 104, 248, 65, 209, 126, 270, 67, 211, 106, 250)(59, 203, 108, 252, 69, 213, 132, 276, 71, 215, 110, 254)(60, 204, 112, 256, 74, 218, 116, 260, 61, 205, 107, 251)(62, 206, 118, 262, 78, 222, 122, 266, 63, 207, 103, 247)(64, 208, 123, 267, 81, 225, 129, 273, 66, 210, 125, 269)(68, 212, 97, 241, 84, 228, 101, 245, 70, 214, 99, 243)(72, 216, 136, 280, 75, 219, 114, 258, 73, 217, 111, 255)(76, 220, 138, 282, 79, 223, 120, 264, 77, 221, 117, 261)(85, 229, 119, 263, 87, 231, 137, 281, 86, 230, 121, 265)(88, 232, 113, 257, 90, 234, 139, 283, 89, 233, 115, 259)(91, 235, 127, 271, 93, 237, 130, 274, 92, 236, 105, 249)(94, 238, 133, 277, 96, 240, 135, 279, 95, 239, 109, 253)(98, 242, 141, 285, 102, 246, 128, 272, 100, 244, 124, 268)(131, 275, 140, 284, 144, 288, 143, 287, 134, 278, 142, 286)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 156)(9, 148)(10, 158)(11, 149)(12, 152)(13, 150)(14, 154)(15, 167)(16, 169)(17, 168)(18, 170)(19, 171)(20, 173)(21, 172)(22, 174)(23, 159)(24, 161)(25, 160)(26, 162)(27, 163)(28, 165)(29, 164)(30, 166)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 180)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 187)(50, 188)(51, 189)(52, 190)(53, 191)(54, 192)(55, 241)(56, 243)(57, 245)(58, 247)(59, 251)(60, 255)(61, 258)(62, 261)(63, 264)(64, 248)(65, 262)(66, 250)(67, 266)(68, 252)(69, 256)(70, 254)(71, 260)(72, 265)(73, 281)(74, 280)(75, 263)(76, 259)(77, 283)(78, 282)(79, 257)(80, 267)(81, 270)(82, 269)(83, 273)(84, 276)(85, 249)(86, 274)(87, 271)(88, 253)(89, 279)(90, 277)(91, 268)(92, 272)(93, 285)(94, 275)(95, 278)(96, 288)(97, 199)(98, 284)(99, 200)(100, 286)(101, 201)(102, 287)(103, 202)(104, 208)(105, 229)(106, 210)(107, 203)(108, 212)(109, 232)(110, 214)(111, 204)(112, 213)(113, 223)(114, 205)(115, 220)(116, 215)(117, 206)(118, 209)(119, 219)(120, 207)(121, 216)(122, 211)(123, 224)(124, 235)(125, 226)(126, 225)(127, 231)(128, 236)(129, 227)(130, 230)(131, 238)(132, 228)(133, 234)(134, 239)(135, 233)(136, 218)(137, 217)(138, 222)(139, 221)(140, 242)(141, 237)(142, 244)(143, 246)(144, 240)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1582
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1586 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2^-1)^2, T2^6, (T2 * T1)^24 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 17, 161, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 21, 165, 14, 158, 6, 150)(7, 151, 15, 159, 9, 153, 18, 162, 25, 169, 16, 160)(11, 155, 19, 163, 13, 157, 22, 166, 29, 173, 20, 164)(23, 167, 31, 175, 24, 168, 33, 177, 26, 170, 32, 176)(27, 171, 34, 178, 28, 172, 36, 180, 30, 174, 35, 179)(37, 181, 43, 187, 38, 182, 45, 189, 39, 183, 44, 188)(40, 184, 46, 190, 41, 185, 48, 192, 42, 186, 47, 191)(49, 193, 55, 199, 50, 194, 57, 201, 51, 195, 56, 200)(52, 196, 85, 229, 53, 197, 87, 231, 54, 198, 89, 233)(58, 202, 91, 235, 63, 207, 97, 241, 61, 205, 93, 237)(59, 203, 94, 238, 67, 211, 105, 249, 65, 209, 96, 240)(60, 204, 98, 242, 70, 214, 103, 247, 62, 206, 100, 244)(64, 208, 106, 250, 74, 218, 111, 255, 66, 210, 108, 252)(68, 212, 113, 257, 71, 215, 117, 261, 69, 213, 115, 259)(72, 216, 120, 264, 75, 219, 124, 268, 73, 217, 122, 266)(76, 220, 127, 271, 78, 222, 131, 275, 77, 221, 129, 273)(79, 223, 133, 277, 81, 225, 137, 281, 80, 224, 135, 279)(82, 226, 139, 283, 84, 228, 143, 287, 83, 227, 141, 285)(86, 230, 142, 286, 90, 234, 144, 288, 88, 232, 140, 284)(92, 236, 136, 280, 101, 245, 138, 282, 104, 248, 134, 278)(95, 239, 130, 274, 109, 253, 132, 276, 112, 256, 128, 272)(99, 243, 121, 265, 102, 246, 123, 267, 118, 262, 126, 270)(107, 251, 114, 258, 110, 254, 116, 260, 125, 269, 119, 263)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 158)(9, 148)(10, 156)(11, 149)(12, 154)(13, 150)(14, 152)(15, 167)(16, 168)(17, 169)(18, 170)(19, 171)(20, 172)(21, 173)(22, 174)(23, 159)(24, 160)(25, 161)(26, 162)(27, 163)(28, 164)(29, 165)(30, 166)(31, 181)(32, 182)(33, 183)(34, 184)(35, 185)(36, 186)(37, 175)(38, 176)(39, 177)(40, 178)(41, 179)(42, 180)(43, 193)(44, 194)(45, 195)(46, 196)(47, 197)(48, 198)(49, 187)(50, 188)(51, 189)(52, 190)(53, 191)(54, 192)(55, 205)(56, 202)(57, 207)(58, 200)(59, 233)(60, 241)(61, 199)(62, 237)(63, 201)(64, 249)(65, 229)(66, 240)(67, 231)(68, 247)(69, 244)(70, 235)(71, 242)(72, 255)(73, 252)(74, 238)(75, 250)(76, 261)(77, 259)(78, 257)(79, 268)(80, 266)(81, 264)(82, 275)(83, 273)(84, 271)(85, 209)(86, 281)(87, 211)(88, 279)(89, 203)(90, 277)(91, 214)(92, 285)(93, 206)(94, 218)(95, 284)(96, 210)(97, 204)(98, 215)(99, 280)(100, 213)(101, 287)(102, 278)(103, 212)(104, 283)(105, 208)(106, 219)(107, 274)(108, 217)(109, 288)(110, 272)(111, 216)(112, 286)(113, 222)(114, 265)(115, 221)(116, 270)(117, 220)(118, 282)(119, 267)(120, 225)(121, 258)(122, 224)(123, 263)(124, 223)(125, 276)(126, 260)(127, 228)(128, 254)(129, 227)(130, 251)(131, 226)(132, 269)(133, 234)(134, 246)(135, 232)(136, 243)(137, 230)(138, 262)(139, 248)(140, 239)(141, 236)(142, 256)(143, 245)(144, 253)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1583
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1587 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1)^2, (T2^-1 * T1)^24 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 25, 169, 14, 158, 6, 150)(7, 151, 15, 159, 30, 174, 57, 201, 32, 176, 16, 160)(9, 153, 19, 163, 37, 181, 65, 209, 39, 183, 20, 164)(11, 155, 22, 166, 43, 187, 71, 215, 45, 189, 23, 167)(13, 157, 26, 170, 50, 194, 79, 223, 52, 196, 27, 171)(17, 161, 33, 177, 60, 204, 90, 234, 61, 205, 34, 178)(21, 165, 40, 184, 67, 211, 96, 240, 68, 212, 41, 185)(24, 168, 46, 190, 74, 218, 104, 248, 75, 219, 47, 191)(28, 172, 53, 197, 81, 225, 110, 254, 82, 226, 54, 198)(29, 173, 55, 199, 84, 228, 64, 208, 36, 180, 56, 200)(31, 175, 58, 202, 88, 232, 66, 210, 38, 182, 59, 203)(35, 179, 62, 206, 91, 235, 119, 263, 92, 236, 63, 207)(42, 186, 69, 213, 98, 242, 78, 222, 49, 193, 70, 214)(44, 188, 72, 216, 102, 246, 80, 224, 51, 195, 73, 217)(48, 192, 76, 220, 105, 249, 132, 276, 106, 250, 77, 221)(83, 227, 111, 255, 137, 281, 117, 261, 87, 231, 112, 256)(85, 229, 113, 257, 138, 282, 118, 262, 89, 233, 114, 258)(86, 230, 115, 259, 139, 283, 122, 266, 94, 238, 116, 260)(93, 237, 120, 264, 140, 284, 123, 267, 95, 239, 121, 265)(97, 241, 124, 268, 141, 285, 130, 274, 101, 245, 125, 269)(99, 243, 126, 270, 142, 286, 131, 275, 103, 247, 127, 271)(100, 244, 128, 272, 143, 287, 135, 279, 108, 252, 129, 273)(107, 251, 133, 277, 144, 288, 136, 280, 109, 253, 134, 278)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 168)(13, 150)(14, 172)(15, 173)(16, 175)(17, 152)(18, 179)(19, 180)(20, 182)(21, 154)(22, 186)(23, 188)(24, 156)(25, 192)(26, 193)(27, 195)(28, 158)(29, 159)(30, 190)(31, 160)(32, 197)(33, 187)(34, 194)(35, 162)(36, 163)(37, 191)(38, 164)(39, 198)(40, 189)(41, 196)(42, 166)(43, 177)(44, 167)(45, 184)(46, 174)(47, 181)(48, 169)(49, 170)(50, 178)(51, 171)(52, 185)(53, 176)(54, 183)(55, 227)(56, 229)(57, 230)(58, 231)(59, 233)(60, 218)(61, 225)(62, 228)(63, 232)(64, 237)(65, 238)(66, 239)(67, 219)(68, 226)(69, 241)(70, 243)(71, 244)(72, 245)(73, 247)(74, 204)(75, 211)(76, 242)(77, 246)(78, 251)(79, 252)(80, 253)(81, 205)(82, 212)(83, 199)(84, 206)(85, 200)(86, 201)(87, 202)(88, 207)(89, 203)(90, 249)(91, 248)(92, 254)(93, 208)(94, 209)(95, 210)(96, 250)(97, 213)(98, 220)(99, 214)(100, 215)(101, 216)(102, 221)(103, 217)(104, 235)(105, 234)(106, 240)(107, 222)(108, 223)(109, 224)(110, 236)(111, 268)(112, 270)(113, 269)(114, 271)(115, 281)(116, 282)(117, 277)(118, 278)(119, 283)(120, 274)(121, 275)(122, 284)(123, 280)(124, 255)(125, 257)(126, 256)(127, 258)(128, 285)(129, 286)(130, 264)(131, 265)(132, 287)(133, 261)(134, 262)(135, 288)(136, 267)(137, 259)(138, 260)(139, 263)(140, 266)(141, 272)(142, 273)(143, 276)(144, 279)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1584
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1588 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-1 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1^-3, (T2^-2 * T1)^2, T2^24 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 25, 169, 37, 181, 49, 193, 61, 205, 73, 217, 85, 229, 97, 241, 109, 253, 121, 265, 133, 277, 124, 268, 112, 256, 100, 244, 88, 232, 76, 220, 64, 208, 52, 196, 40, 184, 28, 172, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 32, 176, 44, 188, 56, 200, 68, 212, 80, 224, 92, 236, 104, 248, 116, 260, 128, 272, 139, 283, 130, 274, 118, 262, 106, 250, 94, 238, 82, 226, 70, 214, 58, 202, 46, 190, 34, 178, 22, 166, 8, 152)(4, 148, 12, 156, 26, 170, 38, 182, 50, 194, 62, 206, 74, 218, 86, 230, 98, 242, 110, 254, 122, 266, 134, 278, 141, 285, 131, 275, 119, 263, 107, 251, 95, 239, 83, 227, 71, 215, 59, 203, 47, 191, 35, 179, 23, 167, 9, 153)(6, 150, 17, 161, 29, 173, 41, 185, 53, 197, 65, 209, 77, 221, 89, 233, 101, 245, 113, 257, 125, 269, 136, 280, 143, 287, 137, 281, 126, 270, 114, 258, 102, 246, 90, 234, 78, 222, 66, 210, 54, 198, 42, 186, 30, 174, 18, 162)(11, 155, 16, 160, 14, 158, 27, 171, 39, 183, 51, 195, 63, 207, 75, 219, 87, 231, 99, 243, 111, 255, 123, 267, 135, 279, 142, 286, 132, 276, 120, 264, 108, 252, 96, 240, 84, 228, 72, 216, 60, 204, 48, 192, 36, 180, 24, 168)(13, 157, 21, 165, 33, 177, 45, 189, 57, 201, 69, 213, 81, 225, 93, 237, 105, 249, 117, 261, 129, 273, 140, 284, 144, 288, 138, 282, 127, 271, 115, 259, 103, 247, 91, 235, 79, 223, 67, 211, 55, 199, 43, 187, 31, 175, 20, 164)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 161)(10, 168)(11, 147)(12, 164)(13, 148)(14, 162)(15, 170)(16, 157)(17, 152)(18, 156)(19, 175)(20, 151)(21, 155)(22, 154)(23, 177)(24, 173)(25, 178)(26, 174)(27, 159)(28, 176)(29, 167)(30, 163)(31, 171)(32, 186)(33, 166)(34, 185)(35, 169)(36, 189)(37, 191)(38, 172)(39, 187)(40, 195)(41, 180)(42, 183)(43, 182)(44, 184)(45, 179)(46, 201)(47, 197)(48, 181)(49, 204)(50, 199)(51, 198)(52, 206)(53, 190)(54, 194)(55, 188)(56, 211)(57, 192)(58, 193)(59, 213)(60, 209)(61, 214)(62, 210)(63, 196)(64, 212)(65, 203)(66, 200)(67, 207)(68, 222)(69, 202)(70, 221)(71, 205)(72, 225)(73, 227)(74, 208)(75, 223)(76, 231)(77, 216)(78, 219)(79, 218)(80, 220)(81, 215)(82, 237)(83, 233)(84, 217)(85, 240)(86, 235)(87, 234)(88, 242)(89, 226)(90, 230)(91, 224)(92, 247)(93, 228)(94, 229)(95, 249)(96, 245)(97, 250)(98, 246)(99, 232)(100, 248)(101, 239)(102, 236)(103, 243)(104, 258)(105, 238)(106, 257)(107, 241)(108, 261)(109, 263)(110, 244)(111, 259)(112, 267)(113, 252)(114, 255)(115, 254)(116, 256)(117, 251)(118, 273)(119, 269)(120, 253)(121, 276)(122, 271)(123, 270)(124, 278)(125, 262)(126, 266)(127, 260)(128, 282)(129, 264)(130, 265)(131, 284)(132, 280)(133, 283)(134, 281)(135, 268)(136, 275)(137, 272)(138, 279)(139, 287)(140, 274)(141, 277)(142, 288)(143, 286)(144, 285)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1576
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 144 f = 96
	degree seq :: [ 48^6 ]

E22.1589 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^2, (T2^-1 * T1^-1)^2, T1^6, T2^24 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 21, 165, 33, 177, 45, 189, 57, 201, 69, 213, 81, 225, 93, 237, 105, 249, 117, 261, 129, 273, 120, 264, 108, 252, 96, 240, 84, 228, 72, 216, 60, 204, 48, 192, 36, 180, 24, 168, 13, 157, 5, 149)(2, 146, 7, 151, 17, 161, 29, 173, 41, 185, 53, 197, 65, 209, 77, 221, 89, 233, 101, 245, 113, 257, 125, 269, 136, 280, 126, 270, 114, 258, 102, 246, 90, 234, 78, 222, 66, 210, 54, 198, 42, 186, 30, 174, 18, 162, 8, 152)(4, 148, 11, 155, 23, 167, 35, 179, 47, 191, 59, 203, 71, 215, 83, 227, 95, 239, 107, 251, 119, 263, 131, 275, 138, 282, 128, 272, 116, 260, 104, 248, 92, 236, 80, 224, 68, 212, 56, 200, 44, 188, 32, 176, 20, 164, 9, 153)(6, 150, 15, 159, 27, 171, 39, 183, 51, 195, 63, 207, 75, 219, 87, 231, 99, 243, 111, 255, 123, 267, 134, 278, 142, 286, 135, 279, 124, 268, 112, 256, 100, 244, 88, 232, 76, 220, 64, 208, 52, 196, 40, 184, 28, 172, 16, 160)(12, 156, 19, 163, 31, 175, 43, 187, 55, 199, 67, 211, 79, 223, 91, 235, 103, 247, 115, 259, 127, 271, 137, 281, 143, 287, 139, 283, 130, 274, 118, 262, 106, 250, 94, 238, 82, 226, 70, 214, 58, 202, 46, 190, 34, 178, 22, 166)(14, 158, 25, 169, 37, 181, 49, 193, 61, 205, 73, 217, 85, 229, 97, 241, 109, 253, 121, 265, 132, 276, 140, 284, 144, 288, 141, 285, 133, 277, 122, 266, 110, 254, 98, 242, 86, 230, 74, 218, 62, 206, 50, 194, 38, 182, 26, 170)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 158)(7, 149)(8, 147)(9, 163)(10, 162)(11, 166)(12, 148)(13, 161)(14, 156)(15, 152)(16, 151)(17, 172)(18, 171)(19, 170)(20, 154)(21, 176)(22, 169)(23, 157)(24, 179)(25, 160)(26, 159)(27, 182)(28, 181)(29, 168)(30, 165)(31, 164)(32, 187)(33, 186)(34, 167)(35, 190)(36, 185)(37, 178)(38, 175)(39, 174)(40, 173)(41, 196)(42, 195)(43, 194)(44, 177)(45, 200)(46, 193)(47, 180)(48, 203)(49, 184)(50, 183)(51, 206)(52, 205)(53, 192)(54, 189)(55, 188)(56, 211)(57, 210)(58, 191)(59, 214)(60, 209)(61, 202)(62, 199)(63, 198)(64, 197)(65, 220)(66, 219)(67, 218)(68, 201)(69, 224)(70, 217)(71, 204)(72, 227)(73, 208)(74, 207)(75, 230)(76, 229)(77, 216)(78, 213)(79, 212)(80, 235)(81, 234)(82, 215)(83, 238)(84, 233)(85, 226)(86, 223)(87, 222)(88, 221)(89, 244)(90, 243)(91, 242)(92, 225)(93, 248)(94, 241)(95, 228)(96, 251)(97, 232)(98, 231)(99, 254)(100, 253)(101, 240)(102, 237)(103, 236)(104, 259)(105, 258)(106, 239)(107, 262)(108, 257)(109, 250)(110, 247)(111, 246)(112, 245)(113, 268)(114, 267)(115, 266)(116, 249)(117, 272)(118, 265)(119, 252)(120, 275)(121, 256)(122, 255)(123, 277)(124, 276)(125, 264)(126, 261)(127, 260)(128, 281)(129, 280)(130, 263)(131, 283)(132, 274)(133, 271)(134, 270)(135, 269)(136, 286)(137, 285)(138, 273)(139, 284)(140, 279)(141, 278)(142, 288)(143, 282)(144, 287)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1577
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 144 f = 96
	degree seq :: [ 48^6 ]

E22.1590 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^6, T2^-2 * T1^-2 * T2 * T1^-1 * T2^-1 * T1, T2^-1 * T1^-1 * T2 * T1^-2 * T2^-2 * T1, T2^2 * T1^-1 * T2^-5 * T1^-1 * T2, T1^-1 * T2^3 * T1^-1 * T2^4 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 61, 205, 106, 250, 129, 273, 85, 229, 52, 196, 21, 165, 51, 195, 95, 239, 134, 278, 90, 234, 47, 191, 32, 176, 66, 210, 111, 255, 137, 281, 97, 241, 76, 220, 38, 182, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 46, 190, 91, 235, 62, 206, 108, 252, 122, 266, 86, 230, 43, 187, 37, 181, 74, 218, 104, 248, 59, 203, 25, 169, 11, 155, 28, 172, 65, 209, 113, 257, 131, 275, 98, 242, 54, 198, 22, 166, 8, 152)(4, 148, 12, 156, 31, 175, 70, 214, 107, 251, 138, 282, 94, 238, 50, 194, 36, 180, 14, 158, 35, 179, 73, 217, 105, 249, 60, 204, 27, 171, 63, 207, 110, 254, 121, 265, 117, 261, 75, 219, 103, 247, 58, 202, 24, 168, 9, 153)(6, 150, 17, 161, 41, 185, 82, 226, 126, 270, 92, 236, 135, 279, 114, 258, 123, 267, 79, 223, 53, 197, 96, 240, 133, 277, 89, 233, 45, 189, 20, 164, 48, 192, 29, 173, 67, 211, 109, 253, 132, 276, 88, 232, 44, 188, 18, 162)(13, 157, 33, 177, 64, 208, 112, 256, 141, 285, 118, 262, 72, 216, 34, 178, 57, 201, 23, 167, 56, 200, 101, 245, 139, 283, 116, 260, 71, 215, 78, 222, 120, 264, 84, 228, 128, 272, 102, 246, 140, 284, 115, 259, 69, 213, 30, 174)(16, 160, 39, 183, 77, 221, 119, 263, 142, 286, 127, 271, 100, 244, 55, 199, 99, 243, 68, 212, 87, 231, 130, 274, 144, 288, 125, 269, 81, 225, 42, 186, 83, 227, 49, 193, 93, 237, 136, 280, 143, 287, 124, 268, 80, 224, 40, 184)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 174)(13, 148)(14, 178)(15, 181)(16, 157)(17, 152)(18, 187)(19, 189)(20, 151)(21, 194)(22, 197)(23, 199)(24, 195)(25, 185)(26, 204)(27, 154)(28, 192)(29, 155)(30, 212)(31, 191)(32, 156)(33, 184)(34, 193)(35, 159)(36, 196)(37, 188)(38, 219)(39, 162)(40, 223)(41, 225)(42, 161)(43, 229)(44, 231)(45, 221)(46, 234)(47, 163)(48, 227)(49, 164)(50, 228)(51, 166)(52, 230)(53, 224)(54, 241)(55, 173)(56, 168)(57, 180)(58, 246)(59, 239)(60, 245)(61, 235)(62, 170)(63, 177)(64, 171)(65, 176)(66, 172)(67, 244)(68, 258)(69, 179)(70, 260)(71, 175)(72, 261)(73, 259)(74, 182)(75, 262)(76, 242)(77, 215)(78, 183)(79, 266)(80, 200)(81, 208)(82, 203)(83, 264)(84, 186)(85, 265)(86, 267)(87, 213)(88, 275)(89, 218)(90, 217)(91, 270)(92, 190)(93, 216)(94, 281)(95, 202)(96, 198)(97, 282)(98, 276)(99, 201)(100, 272)(101, 268)(102, 271)(103, 220)(104, 277)(105, 278)(106, 214)(107, 205)(108, 211)(109, 206)(110, 210)(111, 207)(112, 269)(113, 279)(114, 209)(115, 280)(116, 274)(117, 273)(118, 263)(119, 233)(120, 254)(121, 222)(122, 255)(123, 243)(124, 253)(125, 240)(126, 286)(127, 226)(128, 238)(129, 257)(130, 232)(131, 250)(132, 287)(133, 288)(134, 248)(135, 237)(136, 236)(137, 252)(138, 256)(139, 249)(140, 247)(141, 251)(142, 285)(143, 284)(144, 283)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1578
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 144 f = 96
	degree seq :: [ 48^6 ]

E22.1591 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-3 * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^24 ]
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, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 35, 179)(19, 163, 33, 177)(20, 164, 34, 178)(22, 166, 31, 175)(23, 167, 40, 184)(25, 169, 42, 186)(26, 170, 43, 187)(27, 171, 45, 189)(30, 174, 46, 190)(36, 180, 48, 192)(37, 181, 49, 193)(38, 182, 50, 194)(39, 183, 54, 198)(41, 185, 56, 200)(44, 188, 58, 202)(47, 191, 60, 204)(51, 195, 61, 205)(52, 196, 63, 207)(53, 197, 66, 210)(55, 199, 68, 212)(57, 201, 70, 214)(59, 203, 72, 216)(62, 206, 73, 217)(64, 208, 71, 215)(65, 209, 78, 222)(67, 211, 80, 224)(69, 213, 82, 226)(74, 218, 84, 228)(75, 219, 85, 229)(76, 220, 86, 230)(77, 221, 90, 234)(79, 223, 92, 236)(81, 225, 94, 238)(83, 227, 96, 240)(87, 231, 97, 241)(88, 232, 99, 243)(89, 233, 102, 246)(91, 235, 104, 248)(93, 237, 106, 250)(95, 239, 108, 252)(98, 242, 109, 253)(100, 244, 107, 251)(101, 245, 114, 258)(103, 247, 116, 260)(105, 249, 118, 262)(110, 254, 120, 264)(111, 255, 121, 265)(112, 256, 122, 266)(113, 257, 126, 270)(115, 259, 128, 272)(117, 261, 130, 274)(119, 263, 132, 276)(123, 267, 133, 277)(124, 268, 135, 279)(125, 269, 136, 280)(127, 271, 138, 282)(129, 273, 140, 284)(131, 275, 141, 285)(134, 278, 142, 286)(137, 281, 143, 287)(139, 283, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 172)(17, 173)(18, 152)(19, 180)(20, 153)(21, 181)(22, 154)(23, 183)(24, 162)(25, 164)(26, 156)(27, 165)(28, 186)(29, 187)(30, 158)(31, 191)(32, 189)(33, 160)(34, 161)(35, 190)(36, 194)(37, 195)(38, 166)(39, 197)(40, 174)(41, 168)(42, 179)(43, 200)(44, 170)(45, 178)(46, 202)(47, 203)(48, 176)(49, 177)(50, 206)(51, 207)(52, 182)(53, 209)(54, 188)(55, 184)(56, 212)(57, 185)(58, 214)(59, 215)(60, 193)(61, 192)(62, 218)(63, 219)(64, 196)(65, 221)(66, 201)(67, 198)(68, 224)(69, 199)(70, 226)(71, 227)(72, 205)(73, 204)(74, 230)(75, 231)(76, 208)(77, 233)(78, 213)(79, 210)(80, 236)(81, 211)(82, 238)(83, 239)(84, 216)(85, 217)(86, 242)(87, 243)(88, 220)(89, 245)(90, 225)(91, 222)(92, 248)(93, 223)(94, 250)(95, 251)(96, 229)(97, 228)(98, 254)(99, 255)(100, 232)(101, 257)(102, 237)(103, 234)(104, 260)(105, 235)(106, 262)(107, 263)(108, 241)(109, 240)(110, 266)(111, 267)(112, 244)(113, 269)(114, 249)(115, 246)(116, 272)(117, 247)(118, 274)(119, 275)(120, 252)(121, 253)(122, 278)(123, 279)(124, 256)(125, 268)(126, 261)(127, 258)(128, 282)(129, 259)(130, 284)(131, 280)(132, 265)(133, 264)(134, 281)(135, 283)(136, 273)(137, 270)(138, 287)(139, 271)(140, 288)(141, 277)(142, 276)(143, 285)(144, 286)
	local type(s) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1579
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1592 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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, T1^24 ]
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, 30, 174)(19, 163, 29, 173)(20, 164, 33, 177)(22, 166, 35, 179)(25, 169, 40, 184)(26, 170, 41, 185)(27, 171, 42, 186)(28, 172, 43, 187)(31, 175, 39, 183)(32, 176, 48, 192)(34, 178, 50, 194)(36, 180, 52, 196)(37, 181, 53, 197)(38, 182, 54, 198)(44, 188, 59, 203)(45, 189, 57, 201)(46, 190, 58, 202)(47, 191, 62, 206)(49, 193, 64, 208)(51, 195, 66, 210)(55, 199, 68, 212)(56, 200, 69, 213)(60, 204, 67, 211)(61, 205, 74, 218)(63, 207, 76, 220)(65, 209, 78, 222)(70, 214, 83, 227)(71, 215, 81, 225)(72, 216, 82, 226)(73, 217, 86, 230)(75, 219, 88, 232)(77, 221, 90, 234)(79, 223, 92, 236)(80, 224, 93, 237)(84, 228, 91, 235)(85, 229, 98, 242)(87, 231, 100, 244)(89, 233, 102, 246)(94, 238, 107, 251)(95, 239, 105, 249)(96, 240, 106, 250)(97, 241, 110, 254)(99, 243, 112, 256)(101, 245, 114, 258)(103, 247, 116, 260)(104, 248, 117, 261)(108, 252, 115, 259)(109, 253, 122, 266)(111, 255, 124, 268)(113, 257, 126, 270)(118, 262, 131, 275)(119, 263, 129, 273)(120, 264, 130, 274)(121, 265, 132, 276)(123, 267, 134, 278)(125, 269, 136, 280)(127, 271, 137, 281)(128, 272, 138, 282)(133, 277, 140, 284)(135, 279, 142, 286)(139, 283, 143, 287)(141, 285, 144, 288)
	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, 170)(17, 172)(18, 173)(19, 154)(20, 176)(21, 158)(22, 156)(23, 180)(24, 182)(25, 183)(26, 161)(27, 160)(28, 179)(29, 188)(30, 181)(31, 163)(32, 191)(33, 166)(34, 165)(35, 195)(36, 168)(37, 167)(38, 194)(39, 199)(40, 171)(41, 197)(42, 201)(43, 196)(44, 202)(45, 174)(46, 175)(47, 205)(48, 178)(49, 177)(50, 209)(51, 208)(52, 185)(53, 186)(54, 187)(55, 211)(56, 184)(57, 213)(58, 214)(59, 189)(60, 190)(61, 217)(62, 193)(63, 192)(64, 221)(65, 220)(66, 198)(67, 223)(68, 200)(69, 225)(70, 226)(71, 203)(72, 204)(73, 229)(74, 207)(75, 206)(76, 233)(77, 232)(78, 210)(79, 235)(80, 212)(81, 237)(82, 238)(83, 215)(84, 216)(85, 241)(86, 219)(87, 218)(88, 245)(89, 244)(90, 222)(91, 247)(92, 224)(93, 249)(94, 250)(95, 227)(96, 228)(97, 253)(98, 231)(99, 230)(100, 257)(101, 256)(102, 234)(103, 259)(104, 236)(105, 261)(106, 262)(107, 239)(108, 240)(109, 265)(110, 243)(111, 242)(112, 269)(113, 268)(114, 246)(115, 271)(116, 248)(117, 273)(118, 274)(119, 251)(120, 252)(121, 264)(122, 255)(123, 254)(124, 279)(125, 278)(126, 258)(127, 276)(128, 260)(129, 282)(130, 277)(131, 263)(132, 267)(133, 266)(134, 285)(135, 284)(136, 270)(137, 272)(138, 287)(139, 275)(140, 283)(141, 281)(142, 280)(143, 288)(144, 286)
	local type(s) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1580
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1593 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, T1^-4 * T2 * T1^4 * T2, (T2 * T1^-1)^6, (T1^-4 * T2 * T1^-2)^2, T1^24 ]
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, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 63, 207)(33, 177, 65, 209)(34, 178, 66, 210)(35, 179, 68, 212)(36, 180, 69, 213)(38, 182, 72, 216)(39, 183, 64, 208)(42, 186, 71, 215)(43, 187, 67, 211)(44, 188, 70, 214)(46, 190, 73, 217)(47, 191, 81, 225)(49, 193, 84, 228)(50, 194, 85, 229)(51, 195, 87, 231)(54, 198, 90, 234)(55, 199, 91, 235)(57, 201, 92, 236)(58, 202, 93, 237)(59, 203, 94, 238)(60, 204, 95, 239)(62, 206, 96, 240)(74, 218, 108, 252)(75, 219, 98, 242)(76, 220, 110, 254)(77, 221, 105, 249)(78, 222, 109, 253)(79, 223, 111, 255)(80, 224, 116, 260)(82, 226, 119, 263)(83, 227, 121, 265)(86, 230, 124, 268)(88, 232, 125, 269)(89, 233, 126, 270)(97, 241, 133, 277)(99, 243, 134, 278)(100, 244, 135, 279)(101, 245, 127, 271)(102, 246, 136, 280)(103, 247, 122, 266)(104, 248, 129, 273)(106, 250, 128, 272)(107, 251, 137, 281)(112, 256, 138, 282)(113, 257, 115, 259)(114, 258, 118, 262)(117, 261, 139, 283)(120, 264, 141, 285)(123, 267, 142, 286)(130, 274, 143, 287)(131, 275, 140, 284)(132, 276, 144, 288)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 192)(32, 200)(33, 196)(34, 160)(35, 197)(36, 161)(37, 205)(38, 162)(39, 194)(40, 202)(41, 204)(42, 164)(43, 198)(44, 165)(45, 206)(46, 166)(47, 224)(48, 226)(49, 227)(50, 168)(51, 230)(52, 232)(53, 233)(54, 170)(55, 225)(56, 231)(57, 228)(58, 172)(59, 229)(60, 173)(61, 234)(62, 174)(63, 241)(64, 176)(65, 242)(66, 244)(67, 178)(68, 243)(69, 245)(70, 180)(71, 181)(72, 246)(73, 182)(74, 184)(75, 185)(76, 186)(77, 188)(78, 189)(79, 190)(80, 259)(81, 261)(82, 262)(83, 264)(84, 266)(85, 267)(86, 260)(87, 265)(88, 263)(89, 207)(90, 208)(91, 271)(92, 213)(93, 273)(94, 272)(95, 274)(96, 218)(97, 268)(98, 277)(99, 209)(100, 270)(101, 210)(102, 211)(103, 212)(104, 214)(105, 215)(106, 216)(107, 217)(108, 275)(109, 219)(110, 276)(111, 220)(112, 221)(113, 222)(114, 223)(115, 249)(116, 251)(117, 255)(118, 256)(119, 284)(120, 257)(121, 258)(122, 283)(123, 235)(124, 287)(125, 239)(126, 288)(127, 285)(128, 236)(129, 286)(130, 237)(131, 238)(132, 240)(133, 252)(134, 254)(135, 253)(136, 247)(137, 248)(138, 250)(139, 279)(140, 281)(141, 278)(142, 280)(143, 282)(144, 269)
	local type(s) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1581
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1594 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 12, 156)(10, 154, 14, 158)(15, 159, 23, 167)(16, 160, 25, 169)(17, 161, 24, 168)(18, 162, 26, 170)(19, 163, 27, 171)(20, 164, 29, 173)(21, 165, 28, 172)(22, 166, 30, 174)(31, 175, 37, 181)(32, 176, 38, 182)(33, 177, 39, 183)(34, 178, 40, 184)(35, 179, 41, 185)(36, 180, 42, 186)(43, 187, 49, 193)(44, 188, 50, 194)(45, 189, 51, 195)(46, 190, 52, 196)(47, 191, 53, 197)(48, 192, 54, 198)(55, 199, 67, 211)(56, 200, 66, 210)(57, 201, 59, 203)(58, 202, 90, 234)(60, 204, 96, 240)(61, 205, 97, 241)(62, 206, 94, 238)(63, 207, 95, 239)(64, 208, 89, 233)(65, 209, 88, 232)(68, 212, 98, 242)(69, 213, 99, 243)(70, 214, 105, 249)(71, 215, 100, 244)(72, 216, 101, 245)(73, 217, 102, 246)(74, 218, 104, 248)(75, 219, 103, 247)(76, 220, 106, 250)(77, 221, 107, 251)(78, 222, 108, 252)(79, 223, 109, 253)(80, 224, 110, 254)(81, 225, 111, 255)(82, 226, 112, 256)(83, 227, 113, 257)(84, 228, 114, 258)(85, 229, 115, 259)(86, 230, 116, 260)(87, 231, 117, 261)(91, 235, 118, 262)(92, 236, 119, 263)(93, 237, 120, 264)(121, 265, 124, 268)(122, 266, 125, 269)(123, 267, 126, 270)(127, 271, 134, 278)(128, 272, 135, 279)(129, 273, 133, 277)(130, 274, 143, 287)(131, 275, 144, 288)(132, 276, 142, 286)(136, 280, 139, 283)(137, 281, 140, 284)(138, 282, 141, 285)(289, 433, 291, 435, 296, 440, 305, 449, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 309, 453, 302, 446, 294, 438)(295, 439, 303, 447, 312, 456, 306, 450, 297, 441, 304, 448)(299, 443, 307, 451, 316, 460, 310, 454, 301, 445, 308, 452)(311, 455, 319, 463, 314, 458, 321, 465, 313, 457, 320, 464)(315, 459, 322, 466, 318, 462, 324, 468, 317, 461, 323, 467)(325, 469, 331, 475, 327, 471, 333, 477, 326, 470, 332, 476)(328, 472, 334, 478, 330, 474, 336, 480, 329, 473, 335, 479)(337, 481, 343, 487, 339, 483, 345, 489, 338, 482, 344, 488)(340, 484, 376, 520, 342, 486, 378, 522, 341, 485, 377, 521)(346, 490, 382, 526, 352, 496, 392, 536, 353, 497, 383, 527)(347, 491, 384, 528, 354, 498, 393, 537, 355, 499, 385, 529)(348, 492, 386, 530, 358, 502, 388, 532, 349, 493, 387, 531)(350, 494, 389, 533, 362, 506, 391, 535, 351, 495, 390, 534)(356, 500, 394, 538, 359, 503, 396, 540, 357, 501, 395, 539)(360, 504, 397, 541, 363, 507, 399, 543, 361, 505, 398, 542)(364, 508, 400, 544, 366, 510, 402, 546, 365, 509, 401, 545)(367, 511, 403, 547, 369, 513, 405, 549, 368, 512, 404, 548)(370, 514, 406, 550, 372, 516, 408, 552, 371, 515, 407, 551)(373, 517, 409, 553, 375, 519, 411, 555, 374, 518, 410, 554)(379, 523, 415, 559, 381, 525, 417, 561, 380, 524, 416, 560)(412, 556, 432, 576, 414, 558, 431, 575, 413, 557, 430, 574)(418, 562, 424, 568, 420, 564, 426, 570, 419, 563, 425, 569)(421, 565, 427, 571, 423, 567, 429, 573, 422, 566, 428, 572)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 300)(9, 292)(10, 302)(11, 293)(12, 296)(13, 294)(14, 298)(15, 311)(16, 313)(17, 312)(18, 314)(19, 315)(20, 317)(21, 316)(22, 318)(23, 303)(24, 305)(25, 304)(26, 306)(27, 307)(28, 309)(29, 308)(30, 310)(31, 325)(32, 326)(33, 327)(34, 328)(35, 329)(36, 330)(37, 319)(38, 320)(39, 321)(40, 322)(41, 323)(42, 324)(43, 337)(44, 338)(45, 339)(46, 340)(47, 341)(48, 342)(49, 331)(50, 332)(51, 333)(52, 334)(53, 335)(54, 336)(55, 355)(56, 354)(57, 347)(58, 378)(59, 345)(60, 384)(61, 385)(62, 382)(63, 383)(64, 377)(65, 376)(66, 344)(67, 343)(68, 386)(69, 387)(70, 393)(71, 388)(72, 389)(73, 390)(74, 392)(75, 391)(76, 394)(77, 395)(78, 396)(79, 397)(80, 398)(81, 399)(82, 400)(83, 401)(84, 402)(85, 403)(86, 404)(87, 405)(88, 353)(89, 352)(90, 346)(91, 406)(92, 407)(93, 408)(94, 350)(95, 351)(96, 348)(97, 349)(98, 356)(99, 357)(100, 359)(101, 360)(102, 361)(103, 363)(104, 362)(105, 358)(106, 364)(107, 365)(108, 366)(109, 367)(110, 368)(111, 369)(112, 370)(113, 371)(114, 372)(115, 373)(116, 374)(117, 375)(118, 379)(119, 380)(120, 381)(121, 412)(122, 413)(123, 414)(124, 409)(125, 410)(126, 411)(127, 422)(128, 423)(129, 421)(130, 431)(131, 432)(132, 430)(133, 417)(134, 415)(135, 416)(136, 427)(137, 428)(138, 429)(139, 424)(140, 425)(141, 426)(142, 420)(143, 418)(144, 419)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1603
Graph:: bipartite
	v = 96 e = 288 f = 150
	degree seq :: [ 4^72, 12^24 ]

E22.1595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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, Y2^6, (Y3 * Y2^-1)^24 ]
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, 23, 167)(16, 160, 24, 168)(17, 161, 25, 169)(18, 162, 26, 170)(19, 163, 27, 171)(20, 164, 28, 172)(21, 165, 29, 173)(22, 166, 30, 174)(31, 175, 37, 181)(32, 176, 38, 182)(33, 177, 39, 183)(34, 178, 40, 184)(35, 179, 41, 185)(36, 180, 42, 186)(43, 187, 49, 193)(44, 188, 50, 194)(45, 189, 51, 195)(46, 190, 52, 196)(47, 191, 53, 197)(48, 192, 54, 198)(55, 199, 109, 253)(56, 200, 110, 254)(57, 201, 111, 255)(58, 202, 112, 256)(59, 203, 115, 259)(60, 204, 118, 262)(61, 205, 117, 261)(62, 206, 122, 266)(63, 207, 114, 258)(64, 208, 126, 270)(65, 209, 128, 272)(66, 210, 129, 273)(67, 211, 127, 271)(68, 212, 130, 274)(69, 213, 132, 276)(70, 214, 133, 277)(71, 215, 131, 275)(72, 216, 121, 265)(73, 217, 120, 264)(74, 218, 116, 260)(75, 219, 119, 263)(76, 220, 125, 269)(77, 221, 124, 268)(78, 222, 113, 257)(79, 223, 123, 267)(80, 224, 108, 252)(81, 225, 107, 251)(82, 226, 140, 284)(83, 227, 106, 250)(84, 228, 105, 249)(85, 229, 104, 248)(86, 230, 141, 285)(87, 231, 103, 247)(88, 232, 136, 280)(89, 233, 135, 279)(90, 234, 134, 278)(91, 235, 139, 283)(92, 236, 138, 282)(93, 237, 137, 281)(94, 238, 97, 241)(95, 239, 99, 243)(96, 240, 98, 242)(100, 244, 144, 288)(101, 245, 143, 287)(102, 246, 142, 286)(289, 433, 291, 435, 296, 440, 305, 449, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 309, 453, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 313, 457, 304, 448)(299, 443, 307, 451, 301, 445, 310, 454, 317, 461, 308, 452)(311, 455, 319, 463, 312, 456, 321, 465, 314, 458, 320, 464)(315, 459, 322, 466, 316, 460, 324, 468, 318, 462, 323, 467)(325, 469, 331, 475, 326, 470, 333, 477, 327, 471, 332, 476)(328, 472, 334, 478, 329, 473, 336, 480, 330, 474, 335, 479)(337, 481, 343, 487, 338, 482, 345, 489, 339, 483, 344, 488)(340, 484, 388, 532, 341, 485, 390, 534, 342, 486, 389, 533)(346, 490, 401, 545, 353, 497, 410, 554, 355, 499, 402, 546)(347, 491, 404, 548, 357, 501, 406, 550, 359, 503, 405, 549)(348, 492, 407, 551, 362, 506, 409, 553, 349, 493, 408, 552)(350, 494, 411, 555, 366, 510, 413, 557, 351, 495, 412, 556)(352, 496, 415, 559, 354, 498, 416, 560, 370, 514, 400, 544)(356, 500, 419, 563, 358, 502, 420, 564, 374, 518, 403, 547)(360, 504, 422, 566, 363, 507, 424, 568, 361, 505, 423, 567)(364, 508, 425, 569, 367, 511, 427, 571, 365, 509, 426, 570)(368, 512, 428, 572, 369, 513, 417, 561, 371, 515, 414, 558)(372, 516, 429, 573, 373, 517, 421, 565, 375, 519, 418, 562)(376, 520, 430, 574, 378, 522, 432, 576, 377, 521, 431, 575)(379, 523, 399, 543, 381, 525, 397, 541, 380, 524, 398, 542)(382, 526, 394, 538, 383, 527, 395, 539, 384, 528, 396, 540)(385, 529, 391, 535, 386, 530, 392, 536, 387, 531, 393, 537)
	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, 311)(16, 312)(17, 313)(18, 314)(19, 315)(20, 316)(21, 317)(22, 318)(23, 303)(24, 304)(25, 305)(26, 306)(27, 307)(28, 308)(29, 309)(30, 310)(31, 325)(32, 326)(33, 327)(34, 328)(35, 329)(36, 330)(37, 319)(38, 320)(39, 321)(40, 322)(41, 323)(42, 324)(43, 337)(44, 338)(45, 339)(46, 340)(47, 341)(48, 342)(49, 331)(50, 332)(51, 333)(52, 334)(53, 335)(54, 336)(55, 397)(56, 398)(57, 399)(58, 400)(59, 403)(60, 406)(61, 405)(62, 410)(63, 402)(64, 414)(65, 416)(66, 417)(67, 415)(68, 418)(69, 420)(70, 421)(71, 419)(72, 409)(73, 408)(74, 404)(75, 407)(76, 413)(77, 412)(78, 401)(79, 411)(80, 396)(81, 395)(82, 428)(83, 394)(84, 393)(85, 392)(86, 429)(87, 391)(88, 424)(89, 423)(90, 422)(91, 427)(92, 426)(93, 425)(94, 385)(95, 387)(96, 386)(97, 382)(98, 384)(99, 383)(100, 432)(101, 431)(102, 430)(103, 375)(104, 373)(105, 372)(106, 371)(107, 369)(108, 368)(109, 343)(110, 344)(111, 345)(112, 346)(113, 366)(114, 351)(115, 347)(116, 362)(117, 349)(118, 348)(119, 363)(120, 361)(121, 360)(122, 350)(123, 367)(124, 365)(125, 364)(126, 352)(127, 355)(128, 353)(129, 354)(130, 356)(131, 359)(132, 357)(133, 358)(134, 378)(135, 377)(136, 376)(137, 381)(138, 380)(139, 379)(140, 370)(141, 374)(142, 390)(143, 389)(144, 388)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1604
Graph:: bipartite
	v = 96 e = 288 f = 150
	degree seq :: [ 4^72, 12^24 ]

E22.1596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|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, Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 24, 168)(14, 158, 28, 172)(15, 159, 29, 173)(16, 160, 31, 175)(18, 162, 35, 179)(19, 163, 36, 180)(20, 164, 38, 182)(22, 166, 42, 186)(23, 167, 44, 188)(25, 169, 48, 192)(26, 170, 49, 193)(27, 171, 51, 195)(30, 174, 46, 190)(32, 176, 53, 197)(33, 177, 43, 187)(34, 178, 50, 194)(37, 181, 47, 191)(39, 183, 54, 198)(40, 184, 45, 189)(41, 185, 52, 196)(55, 199, 83, 227)(56, 200, 85, 229)(57, 201, 86, 230)(58, 202, 87, 231)(59, 203, 89, 233)(60, 204, 74, 218)(61, 205, 81, 225)(62, 206, 84, 228)(63, 207, 88, 232)(64, 208, 93, 237)(65, 209, 94, 238)(66, 210, 95, 239)(67, 211, 75, 219)(68, 212, 82, 226)(69, 213, 97, 241)(70, 214, 99, 243)(71, 215, 100, 244)(72, 216, 101, 245)(73, 217, 103, 247)(76, 220, 98, 242)(77, 221, 102, 246)(78, 222, 107, 251)(79, 223, 108, 252)(80, 224, 109, 253)(90, 234, 105, 249)(91, 235, 104, 248)(92, 236, 110, 254)(96, 240, 106, 250)(111, 255, 124, 268)(112, 256, 126, 270)(113, 257, 125, 269)(114, 258, 127, 271)(115, 259, 137, 281)(116, 260, 138, 282)(117, 261, 133, 277)(118, 262, 134, 278)(119, 263, 139, 283)(120, 264, 130, 274)(121, 265, 131, 275)(122, 266, 140, 284)(123, 267, 136, 280)(128, 272, 141, 285)(129, 273, 142, 286)(132, 276, 143, 287)(135, 279, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 313, 457, 302, 446, 294, 438)(295, 439, 303, 447, 318, 462, 345, 489, 320, 464, 304, 448)(297, 441, 307, 451, 325, 469, 353, 497, 327, 471, 308, 452)(299, 443, 310, 454, 331, 475, 359, 503, 333, 477, 311, 455)(301, 445, 314, 458, 338, 482, 367, 511, 340, 484, 315, 459)(305, 449, 321, 465, 348, 492, 378, 522, 349, 493, 322, 466)(309, 453, 328, 472, 355, 499, 384, 528, 356, 500, 329, 473)(312, 456, 334, 478, 362, 506, 392, 536, 363, 507, 335, 479)(316, 460, 341, 485, 369, 513, 398, 542, 370, 514, 342, 486)(317, 461, 343, 487, 372, 516, 352, 496, 324, 468, 344, 488)(319, 463, 346, 490, 376, 520, 354, 498, 326, 470, 347, 491)(323, 467, 350, 494, 379, 523, 407, 551, 380, 524, 351, 495)(330, 474, 357, 501, 386, 530, 366, 510, 337, 481, 358, 502)(332, 476, 360, 504, 390, 534, 368, 512, 339, 483, 361, 505)(336, 480, 364, 508, 393, 537, 420, 564, 394, 538, 365, 509)(371, 515, 399, 543, 425, 569, 405, 549, 375, 519, 400, 544)(373, 517, 401, 545, 426, 570, 406, 550, 377, 521, 402, 546)(374, 518, 403, 547, 427, 571, 410, 554, 382, 526, 404, 548)(381, 525, 408, 552, 428, 572, 411, 555, 383, 527, 409, 553)(385, 529, 412, 556, 429, 573, 418, 562, 389, 533, 413, 557)(387, 531, 414, 558, 430, 574, 419, 563, 391, 535, 415, 559)(388, 532, 416, 560, 431, 575, 423, 567, 396, 540, 417, 561)(395, 539, 421, 565, 432, 576, 424, 568, 397, 541, 422, 566)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 312)(13, 294)(14, 316)(15, 317)(16, 319)(17, 296)(18, 323)(19, 324)(20, 326)(21, 298)(22, 330)(23, 332)(24, 300)(25, 336)(26, 337)(27, 339)(28, 302)(29, 303)(30, 334)(31, 304)(32, 341)(33, 331)(34, 338)(35, 306)(36, 307)(37, 335)(38, 308)(39, 342)(40, 333)(41, 340)(42, 310)(43, 321)(44, 311)(45, 328)(46, 318)(47, 325)(48, 313)(49, 314)(50, 322)(51, 315)(52, 329)(53, 320)(54, 327)(55, 371)(56, 373)(57, 374)(58, 375)(59, 377)(60, 362)(61, 369)(62, 372)(63, 376)(64, 381)(65, 382)(66, 383)(67, 363)(68, 370)(69, 385)(70, 387)(71, 388)(72, 389)(73, 391)(74, 348)(75, 355)(76, 386)(77, 390)(78, 395)(79, 396)(80, 397)(81, 349)(82, 356)(83, 343)(84, 350)(85, 344)(86, 345)(87, 346)(88, 351)(89, 347)(90, 393)(91, 392)(92, 398)(93, 352)(94, 353)(95, 354)(96, 394)(97, 357)(98, 364)(99, 358)(100, 359)(101, 360)(102, 365)(103, 361)(104, 379)(105, 378)(106, 384)(107, 366)(108, 367)(109, 368)(110, 380)(111, 412)(112, 414)(113, 413)(114, 415)(115, 425)(116, 426)(117, 421)(118, 422)(119, 427)(120, 418)(121, 419)(122, 428)(123, 424)(124, 399)(125, 401)(126, 400)(127, 402)(128, 429)(129, 430)(130, 408)(131, 409)(132, 431)(133, 405)(134, 406)(135, 432)(136, 411)(137, 403)(138, 404)(139, 407)(140, 410)(141, 416)(142, 417)(143, 420)(144, 423)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1605
Graph:: bipartite
	v = 96 e = 288 f = 150
	degree seq :: [ 4^72, 12^24 ]

E22.1597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y1^6, Y2^-1 * Y1 * Y2^-1 * Y1^3, Y2^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 17, 161, 8, 152, 21, 165, 11, 155)(5, 149, 14, 158, 18, 162, 12, 156, 20, 164, 7, 151)(10, 154, 24, 168, 29, 173, 23, 167, 33, 177, 22, 166)(15, 159, 26, 170, 30, 174, 19, 163, 31, 175, 27, 171)(25, 169, 34, 178, 41, 185, 36, 180, 45, 189, 35, 179)(28, 172, 32, 176, 42, 186, 39, 183, 43, 187, 38, 182)(37, 181, 47, 191, 53, 197, 46, 190, 57, 201, 48, 192)(40, 184, 51, 195, 54, 198, 50, 194, 55, 199, 44, 188)(49, 193, 60, 204, 65, 209, 59, 203, 69, 213, 58, 202)(52, 196, 62, 206, 66, 210, 56, 200, 67, 211, 63, 207)(61, 205, 70, 214, 77, 221, 72, 216, 81, 225, 71, 215)(64, 208, 68, 212, 78, 222, 75, 219, 79, 223, 74, 218)(73, 217, 83, 227, 89, 233, 82, 226, 93, 237, 84, 228)(76, 220, 87, 231, 90, 234, 86, 230, 91, 235, 80, 224)(85, 229, 96, 240, 101, 245, 95, 239, 105, 249, 94, 238)(88, 232, 98, 242, 102, 246, 92, 236, 103, 247, 99, 243)(97, 241, 106, 250, 113, 257, 108, 252, 117, 261, 107, 251)(100, 244, 104, 248, 114, 258, 111, 255, 115, 259, 110, 254)(109, 253, 119, 263, 125, 269, 118, 262, 129, 273, 120, 264)(112, 256, 123, 267, 126, 270, 122, 266, 127, 271, 116, 260)(121, 265, 132, 276, 136, 280, 131, 275, 140, 284, 130, 274)(124, 268, 134, 278, 137, 281, 128, 272, 138, 282, 135, 279)(133, 277, 139, 283, 143, 287, 142, 286, 144, 288, 141, 285)(289, 433, 291, 435, 298, 442, 313, 457, 325, 469, 337, 481, 349, 493, 361, 505, 373, 517, 385, 529, 397, 541, 409, 553, 421, 565, 412, 556, 400, 544, 388, 532, 376, 520, 364, 508, 352, 496, 340, 484, 328, 472, 316, 460, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 320, 464, 332, 476, 344, 488, 356, 500, 368, 512, 380, 524, 392, 536, 404, 548, 416, 560, 427, 571, 418, 562, 406, 550, 394, 538, 382, 526, 370, 514, 358, 502, 346, 490, 334, 478, 322, 466, 310, 454, 296, 440)(292, 436, 300, 444, 314, 458, 326, 470, 338, 482, 350, 494, 362, 506, 374, 518, 386, 530, 398, 542, 410, 554, 422, 566, 429, 573, 419, 563, 407, 551, 395, 539, 383, 527, 371, 515, 359, 503, 347, 491, 335, 479, 323, 467, 311, 455, 297, 441)(294, 438, 305, 449, 317, 461, 329, 473, 341, 485, 353, 497, 365, 509, 377, 521, 389, 533, 401, 545, 413, 557, 424, 568, 431, 575, 425, 569, 414, 558, 402, 546, 390, 534, 378, 522, 366, 510, 354, 498, 342, 486, 330, 474, 318, 462, 306, 450)(299, 443, 304, 448, 302, 446, 315, 459, 327, 471, 339, 483, 351, 495, 363, 507, 375, 519, 387, 531, 399, 543, 411, 555, 423, 567, 430, 574, 420, 564, 408, 552, 396, 540, 384, 528, 372, 516, 360, 504, 348, 492, 336, 480, 324, 468, 312, 456)(301, 445, 309, 453, 321, 465, 333, 477, 345, 489, 357, 501, 369, 513, 381, 525, 393, 537, 405, 549, 417, 561, 428, 572, 432, 576, 426, 570, 415, 559, 403, 547, 391, 535, 379, 523, 367, 511, 355, 499, 343, 487, 331, 475, 319, 463, 308, 452)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 313)(11, 304)(12, 314)(13, 309)(14, 315)(15, 293)(16, 302)(17, 317)(18, 294)(19, 320)(20, 301)(21, 321)(22, 296)(23, 297)(24, 299)(25, 325)(26, 326)(27, 327)(28, 303)(29, 329)(30, 306)(31, 308)(32, 332)(33, 333)(34, 310)(35, 311)(36, 312)(37, 337)(38, 338)(39, 339)(40, 316)(41, 341)(42, 318)(43, 319)(44, 344)(45, 345)(46, 322)(47, 323)(48, 324)(49, 349)(50, 350)(51, 351)(52, 328)(53, 353)(54, 330)(55, 331)(56, 356)(57, 357)(58, 334)(59, 335)(60, 336)(61, 361)(62, 362)(63, 363)(64, 340)(65, 365)(66, 342)(67, 343)(68, 368)(69, 369)(70, 346)(71, 347)(72, 348)(73, 373)(74, 374)(75, 375)(76, 352)(77, 377)(78, 354)(79, 355)(80, 380)(81, 381)(82, 358)(83, 359)(84, 360)(85, 385)(86, 386)(87, 387)(88, 364)(89, 389)(90, 366)(91, 367)(92, 392)(93, 393)(94, 370)(95, 371)(96, 372)(97, 397)(98, 398)(99, 399)(100, 376)(101, 401)(102, 378)(103, 379)(104, 404)(105, 405)(106, 382)(107, 383)(108, 384)(109, 409)(110, 410)(111, 411)(112, 388)(113, 413)(114, 390)(115, 391)(116, 416)(117, 417)(118, 394)(119, 395)(120, 396)(121, 421)(122, 422)(123, 423)(124, 400)(125, 424)(126, 402)(127, 403)(128, 427)(129, 428)(130, 406)(131, 407)(132, 408)(133, 412)(134, 429)(135, 430)(136, 431)(137, 414)(138, 415)(139, 418)(140, 432)(141, 419)(142, 420)(143, 425)(144, 426)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.1600
Graph:: bipartite
	v = 30 e = 288 f = 216
	degree seq :: [ 12^24, 48^6 ]

E22.1598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2 * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^6, Y2^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 14, 158, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 26, 170, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 25, 169, 16, 160, 7, 151)(10, 154, 18, 162, 27, 171, 38, 182, 31, 175, 20, 164)(13, 157, 17, 161, 28, 172, 37, 181, 34, 178, 23, 167)(21, 165, 32, 176, 43, 187, 50, 194, 39, 183, 30, 174)(24, 168, 35, 179, 46, 190, 49, 193, 40, 184, 29, 173)(33, 177, 42, 186, 51, 195, 62, 206, 55, 199, 44, 188)(36, 180, 41, 185, 52, 196, 61, 205, 58, 202, 47, 191)(45, 189, 56, 200, 67, 211, 74, 218, 63, 207, 54, 198)(48, 192, 59, 203, 70, 214, 73, 217, 64, 208, 53, 197)(57, 201, 66, 210, 75, 219, 86, 230, 79, 223, 68, 212)(60, 204, 65, 209, 76, 220, 85, 229, 82, 226, 71, 215)(69, 213, 80, 224, 91, 235, 98, 242, 87, 231, 78, 222)(72, 216, 83, 227, 94, 238, 97, 241, 88, 232, 77, 221)(81, 225, 90, 234, 99, 243, 110, 254, 103, 247, 92, 236)(84, 228, 89, 233, 100, 244, 109, 253, 106, 250, 95, 239)(93, 237, 104, 248, 115, 259, 122, 266, 111, 255, 102, 246)(96, 240, 107, 251, 118, 262, 121, 265, 112, 256, 101, 245)(105, 249, 114, 258, 123, 267, 133, 277, 127, 271, 116, 260)(108, 252, 113, 257, 124, 268, 132, 276, 130, 274, 119, 263)(117, 261, 128, 272, 137, 281, 141, 285, 134, 278, 126, 270)(120, 264, 131, 275, 139, 283, 140, 284, 135, 279, 125, 269)(129, 273, 136, 280, 142, 286, 144, 288, 143, 287, 138, 282)(289, 433, 291, 435, 298, 442, 309, 453, 321, 465, 333, 477, 345, 489, 357, 501, 369, 513, 381, 525, 393, 537, 405, 549, 417, 561, 408, 552, 396, 540, 384, 528, 372, 516, 360, 504, 348, 492, 336, 480, 324, 468, 312, 456, 301, 445, 293, 437)(290, 434, 295, 439, 305, 449, 317, 461, 329, 473, 341, 485, 353, 497, 365, 509, 377, 521, 389, 533, 401, 545, 413, 557, 424, 568, 414, 558, 402, 546, 390, 534, 378, 522, 366, 510, 354, 498, 342, 486, 330, 474, 318, 462, 306, 450, 296, 440)(292, 436, 299, 443, 311, 455, 323, 467, 335, 479, 347, 491, 359, 503, 371, 515, 383, 527, 395, 539, 407, 551, 419, 563, 426, 570, 416, 560, 404, 548, 392, 536, 380, 524, 368, 512, 356, 500, 344, 488, 332, 476, 320, 464, 308, 452, 297, 441)(294, 438, 303, 447, 315, 459, 327, 471, 339, 483, 351, 495, 363, 507, 375, 519, 387, 531, 399, 543, 411, 555, 422, 566, 430, 574, 423, 567, 412, 556, 400, 544, 388, 532, 376, 520, 364, 508, 352, 496, 340, 484, 328, 472, 316, 460, 304, 448)(300, 444, 307, 451, 319, 463, 331, 475, 343, 487, 355, 499, 367, 511, 379, 523, 391, 535, 403, 547, 415, 559, 425, 569, 431, 575, 427, 571, 418, 562, 406, 550, 394, 538, 382, 526, 370, 514, 358, 502, 346, 490, 334, 478, 322, 466, 310, 454)(302, 446, 313, 457, 325, 469, 337, 481, 349, 493, 361, 505, 373, 517, 385, 529, 397, 541, 409, 553, 420, 564, 428, 572, 432, 576, 429, 573, 421, 565, 410, 554, 398, 542, 386, 530, 374, 518, 362, 506, 350, 494, 338, 482, 326, 470, 314, 458)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 303)(7, 305)(8, 290)(9, 292)(10, 309)(11, 311)(12, 307)(13, 293)(14, 313)(15, 315)(16, 294)(17, 317)(18, 296)(19, 319)(20, 297)(21, 321)(22, 300)(23, 323)(24, 301)(25, 325)(26, 302)(27, 327)(28, 304)(29, 329)(30, 306)(31, 331)(32, 308)(33, 333)(34, 310)(35, 335)(36, 312)(37, 337)(38, 314)(39, 339)(40, 316)(41, 341)(42, 318)(43, 343)(44, 320)(45, 345)(46, 322)(47, 347)(48, 324)(49, 349)(50, 326)(51, 351)(52, 328)(53, 353)(54, 330)(55, 355)(56, 332)(57, 357)(58, 334)(59, 359)(60, 336)(61, 361)(62, 338)(63, 363)(64, 340)(65, 365)(66, 342)(67, 367)(68, 344)(69, 369)(70, 346)(71, 371)(72, 348)(73, 373)(74, 350)(75, 375)(76, 352)(77, 377)(78, 354)(79, 379)(80, 356)(81, 381)(82, 358)(83, 383)(84, 360)(85, 385)(86, 362)(87, 387)(88, 364)(89, 389)(90, 366)(91, 391)(92, 368)(93, 393)(94, 370)(95, 395)(96, 372)(97, 397)(98, 374)(99, 399)(100, 376)(101, 401)(102, 378)(103, 403)(104, 380)(105, 405)(106, 382)(107, 407)(108, 384)(109, 409)(110, 386)(111, 411)(112, 388)(113, 413)(114, 390)(115, 415)(116, 392)(117, 417)(118, 394)(119, 419)(120, 396)(121, 420)(122, 398)(123, 422)(124, 400)(125, 424)(126, 402)(127, 425)(128, 404)(129, 408)(130, 406)(131, 426)(132, 428)(133, 410)(134, 430)(135, 412)(136, 414)(137, 431)(138, 416)(139, 418)(140, 432)(141, 421)(142, 423)(143, 427)(144, 429)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.1601
Graph:: bipartite
	v = 30 e = 288 f = 216
	degree seq :: [ 12^24, 48^6 ]

E22.1599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^6, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y2^-7 * Y1^2 * Y2^-1 * Y1^2, (Y1^-1 * Y2^3 * Y1^-2)^2, Y1 * Y2^3 * Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^2 * Y2^-2 * Y1^2 * Y2^-1 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 55, 199, 29, 173, 11, 155)(5, 149, 14, 158, 34, 178, 49, 193, 20, 164, 7, 151)(8, 152, 21, 165, 50, 194, 84, 228, 42, 186, 17, 161)(10, 154, 25, 169, 41, 185, 81, 225, 64, 208, 27, 171)(12, 156, 30, 174, 68, 212, 114, 258, 65, 209, 32, 176)(15, 159, 37, 181, 44, 188, 87, 231, 69, 213, 35, 179)(18, 162, 43, 187, 85, 229, 121, 265, 78, 222, 39, 183)(19, 163, 45, 189, 77, 221, 71, 215, 31, 175, 47, 191)(22, 166, 53, 197, 80, 224, 56, 200, 24, 168, 51, 195)(26, 170, 60, 204, 101, 245, 124, 268, 109, 253, 62, 206)(28, 172, 48, 192, 83, 227, 120, 264, 110, 254, 66, 210)(33, 177, 40, 184, 79, 223, 122, 266, 111, 255, 63, 207)(36, 180, 52, 196, 86, 230, 123, 267, 99, 243, 57, 201)(38, 182, 75, 219, 118, 262, 119, 263, 89, 233, 74, 218)(46, 190, 90, 234, 73, 217, 115, 259, 136, 280, 92, 236)(54, 198, 97, 241, 138, 282, 112, 256, 125, 269, 96, 240)(58, 202, 102, 246, 127, 271, 82, 226, 59, 203, 95, 239)(61, 205, 91, 235, 126, 270, 142, 286, 141, 285, 107, 251)(67, 211, 100, 244, 128, 272, 94, 238, 137, 281, 108, 252)(70, 214, 116, 260, 130, 274, 88, 232, 131, 275, 106, 250)(72, 216, 117, 261, 129, 273, 113, 257, 135, 279, 93, 237)(76, 220, 98, 242, 132, 276, 143, 287, 140, 284, 103, 247)(104, 248, 133, 277, 144, 288, 139, 283, 105, 249, 134, 278)(289, 433, 291, 435, 298, 442, 314, 458, 349, 493, 394, 538, 417, 561, 373, 517, 340, 484, 309, 453, 339, 483, 383, 527, 422, 566, 378, 522, 335, 479, 320, 464, 354, 498, 399, 543, 425, 569, 385, 529, 364, 508, 326, 470, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 334, 478, 379, 523, 350, 494, 396, 540, 410, 554, 374, 518, 331, 475, 325, 469, 362, 506, 392, 536, 347, 491, 313, 457, 299, 443, 316, 460, 353, 497, 401, 545, 419, 563, 386, 530, 342, 486, 310, 454, 296, 440)(292, 436, 300, 444, 319, 463, 358, 502, 395, 539, 426, 570, 382, 526, 338, 482, 324, 468, 302, 446, 323, 467, 361, 505, 393, 537, 348, 492, 315, 459, 351, 495, 398, 542, 409, 553, 405, 549, 363, 507, 391, 535, 346, 490, 312, 456, 297, 441)(294, 438, 305, 449, 329, 473, 370, 514, 414, 558, 380, 524, 423, 567, 402, 546, 411, 555, 367, 511, 341, 485, 384, 528, 421, 565, 377, 521, 333, 477, 308, 452, 336, 480, 317, 461, 355, 499, 397, 541, 420, 564, 376, 520, 332, 476, 306, 450)(301, 445, 321, 465, 352, 496, 400, 544, 429, 573, 406, 550, 360, 504, 322, 466, 345, 489, 311, 455, 344, 488, 389, 533, 427, 571, 404, 548, 359, 503, 366, 510, 408, 552, 372, 516, 416, 560, 390, 534, 428, 572, 403, 547, 357, 501, 318, 462)(304, 448, 327, 471, 365, 509, 407, 551, 430, 574, 415, 559, 388, 532, 343, 487, 387, 531, 356, 500, 375, 519, 418, 562, 432, 576, 413, 557, 369, 513, 330, 474, 371, 515, 337, 481, 381, 525, 424, 568, 431, 575, 412, 556, 368, 512, 328, 472)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 323)(15, 293)(16, 327)(17, 329)(18, 294)(19, 334)(20, 336)(21, 339)(22, 296)(23, 344)(24, 297)(25, 299)(26, 349)(27, 351)(28, 353)(29, 355)(30, 301)(31, 358)(32, 354)(33, 352)(34, 345)(35, 361)(36, 302)(37, 362)(38, 303)(39, 365)(40, 304)(41, 370)(42, 371)(43, 325)(44, 306)(45, 308)(46, 379)(47, 320)(48, 317)(49, 381)(50, 324)(51, 383)(52, 309)(53, 384)(54, 310)(55, 387)(56, 389)(57, 311)(58, 312)(59, 313)(60, 315)(61, 394)(62, 396)(63, 398)(64, 400)(65, 401)(66, 399)(67, 397)(68, 375)(69, 318)(70, 395)(71, 366)(72, 322)(73, 393)(74, 392)(75, 391)(76, 326)(77, 407)(78, 408)(79, 341)(80, 328)(81, 330)(82, 414)(83, 337)(84, 416)(85, 340)(86, 331)(87, 418)(88, 332)(89, 333)(90, 335)(91, 350)(92, 423)(93, 424)(94, 338)(95, 422)(96, 421)(97, 364)(98, 342)(99, 356)(100, 343)(101, 427)(102, 428)(103, 346)(104, 347)(105, 348)(106, 417)(107, 426)(108, 410)(109, 420)(110, 409)(111, 425)(112, 429)(113, 419)(114, 411)(115, 357)(116, 359)(117, 363)(118, 360)(119, 430)(120, 372)(121, 405)(122, 374)(123, 367)(124, 368)(125, 369)(126, 380)(127, 388)(128, 390)(129, 373)(130, 432)(131, 386)(132, 376)(133, 377)(134, 378)(135, 402)(136, 431)(137, 385)(138, 382)(139, 404)(140, 403)(141, 406)(142, 415)(143, 412)(144, 413)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.1602
Graph:: bipartite
	v = 30 e = 288 f = 216
	degree seq :: [ 12^24, 48^6 ]

E22.1600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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^-8 * Y2 * Y3^15 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^24 ]
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, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 311, 455)(304, 448, 315, 459)(306, 450, 318, 462)(307, 451, 312, 456)(308, 452, 316, 460)(310, 454, 314, 458)(319, 463, 329, 473)(320, 464, 333, 477)(321, 465, 327, 471)(322, 466, 332, 476)(323, 467, 335, 479)(324, 468, 330, 474)(325, 469, 328, 472)(326, 470, 338, 482)(331, 475, 341, 485)(334, 478, 344, 488)(336, 480, 345, 489)(337, 481, 348, 492)(339, 483, 342, 486)(340, 484, 351, 495)(343, 487, 354, 498)(346, 490, 357, 501)(347, 491, 356, 500)(349, 493, 358, 502)(350, 494, 353, 497)(352, 496, 355, 499)(359, 503, 369, 513)(360, 504, 368, 512)(361, 505, 371, 515)(362, 506, 366, 510)(363, 507, 365, 509)(364, 508, 374, 518)(367, 511, 377, 521)(370, 514, 380, 524)(372, 516, 381, 525)(373, 517, 384, 528)(375, 519, 378, 522)(376, 520, 387, 531)(379, 523, 390, 534)(382, 526, 393, 537)(383, 527, 392, 536)(385, 529, 394, 538)(386, 530, 389, 533)(388, 532, 391, 535)(395, 539, 405, 549)(396, 540, 404, 548)(397, 541, 407, 551)(398, 542, 402, 546)(399, 543, 401, 545)(400, 544, 410, 554)(403, 547, 413, 557)(406, 550, 416, 560)(408, 552, 417, 561)(409, 553, 420, 564)(411, 555, 414, 558)(412, 556, 423, 567)(415, 559, 425, 569)(418, 562, 428, 572)(419, 563, 427, 571)(421, 565, 426, 570)(422, 566, 424, 568)(429, 573, 431, 575)(430, 574, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 319)(16, 295)(17, 321)(18, 323)(19, 324)(20, 297)(21, 325)(22, 298)(23, 327)(24, 299)(25, 329)(26, 331)(27, 332)(28, 301)(29, 333)(30, 302)(31, 309)(32, 304)(33, 308)(34, 305)(35, 337)(36, 338)(37, 339)(38, 310)(39, 317)(40, 312)(41, 316)(42, 313)(43, 343)(44, 344)(45, 345)(46, 318)(47, 320)(48, 322)(49, 349)(50, 350)(51, 351)(52, 326)(53, 328)(54, 330)(55, 355)(56, 356)(57, 357)(58, 334)(59, 335)(60, 336)(61, 361)(62, 362)(63, 363)(64, 340)(65, 341)(66, 342)(67, 367)(68, 368)(69, 369)(70, 346)(71, 347)(72, 348)(73, 373)(74, 374)(75, 375)(76, 352)(77, 353)(78, 354)(79, 379)(80, 380)(81, 381)(82, 358)(83, 359)(84, 360)(85, 385)(86, 386)(87, 387)(88, 364)(89, 365)(90, 366)(91, 391)(92, 392)(93, 393)(94, 370)(95, 371)(96, 372)(97, 397)(98, 398)(99, 399)(100, 376)(101, 377)(102, 378)(103, 403)(104, 404)(105, 405)(106, 382)(107, 383)(108, 384)(109, 409)(110, 410)(111, 411)(112, 388)(113, 389)(114, 390)(115, 415)(116, 416)(117, 417)(118, 394)(119, 395)(120, 396)(121, 421)(122, 422)(123, 423)(124, 400)(125, 401)(126, 402)(127, 426)(128, 427)(129, 428)(130, 406)(131, 407)(132, 408)(133, 412)(134, 430)(135, 429)(136, 413)(137, 414)(138, 418)(139, 432)(140, 431)(141, 419)(142, 420)(143, 424)(144, 425)(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) :: { ( 12, 48 ), ( 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1597
Graph:: simple bipartite
	v = 216 e = 288 f = 30
	degree seq :: [ 2^144, 4^72 ]

E22.1601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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)^6, Y3^8 * Y2 * Y3^-16 * Y2, (Y3^-1 * Y1^-1)^24 ]
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, 313, 457)(304, 448, 314, 458)(305, 449, 315, 459)(306, 450, 317, 461)(307, 451, 318, 462)(308, 452, 320, 464)(309, 453, 321, 465)(310, 454, 322, 466)(311, 455, 324, 468)(312, 456, 325, 469)(316, 460, 326, 470)(319, 463, 323, 467)(327, 471, 336, 480)(328, 472, 335, 479)(329, 473, 340, 484)(330, 474, 343, 487)(331, 475, 344, 488)(332, 476, 337, 481)(333, 477, 346, 490)(334, 478, 347, 491)(338, 482, 349, 493)(339, 483, 350, 494)(341, 485, 352, 496)(342, 486, 353, 497)(345, 489, 354, 498)(348, 492, 351, 495)(355, 499, 364, 508)(356, 500, 367, 511)(357, 501, 368, 512)(358, 502, 361, 505)(359, 503, 370, 514)(360, 504, 371, 515)(362, 506, 373, 517)(363, 507, 374, 518)(365, 509, 376, 520)(366, 510, 377, 521)(369, 513, 378, 522)(372, 516, 375, 519)(379, 523, 388, 532)(380, 524, 391, 535)(381, 525, 392, 536)(382, 526, 385, 529)(383, 527, 394, 538)(384, 528, 395, 539)(386, 530, 397, 541)(387, 531, 398, 542)(389, 533, 400, 544)(390, 534, 401, 545)(393, 537, 402, 546)(396, 540, 399, 543)(403, 547, 412, 556)(404, 548, 415, 559)(405, 549, 416, 560)(406, 550, 409, 553)(407, 551, 418, 562)(408, 552, 419, 563)(410, 554, 420, 564)(411, 555, 421, 565)(413, 557, 423, 567)(414, 558, 424, 568)(417, 561, 422, 566)(425, 569, 430, 574)(426, 570, 431, 575)(427, 571, 428, 572)(429, 573, 432, 576)
	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, 316)(18, 318)(19, 298)(20, 301)(21, 299)(22, 323)(23, 325)(24, 302)(25, 327)(26, 329)(27, 304)(28, 331)(29, 328)(30, 333)(31, 307)(32, 335)(33, 337)(34, 309)(35, 339)(36, 336)(37, 341)(38, 312)(39, 314)(40, 313)(41, 343)(42, 315)(43, 345)(44, 317)(45, 347)(46, 319)(47, 321)(48, 320)(49, 349)(50, 322)(51, 351)(52, 324)(53, 353)(54, 326)(55, 355)(56, 330)(57, 357)(58, 332)(59, 359)(60, 334)(61, 361)(62, 338)(63, 363)(64, 340)(65, 365)(66, 342)(67, 367)(68, 344)(69, 369)(70, 346)(71, 371)(72, 348)(73, 373)(74, 350)(75, 375)(76, 352)(77, 377)(78, 354)(79, 379)(80, 356)(81, 381)(82, 358)(83, 383)(84, 360)(85, 385)(86, 362)(87, 387)(88, 364)(89, 389)(90, 366)(91, 391)(92, 368)(93, 393)(94, 370)(95, 395)(96, 372)(97, 397)(98, 374)(99, 399)(100, 376)(101, 401)(102, 378)(103, 403)(104, 380)(105, 405)(106, 382)(107, 407)(108, 384)(109, 409)(110, 386)(111, 411)(112, 388)(113, 413)(114, 390)(115, 415)(116, 392)(117, 417)(118, 394)(119, 419)(120, 396)(121, 420)(122, 398)(123, 422)(124, 400)(125, 424)(126, 402)(127, 425)(128, 404)(129, 408)(130, 406)(131, 426)(132, 428)(133, 410)(134, 414)(135, 412)(136, 429)(137, 431)(138, 416)(139, 418)(140, 432)(141, 421)(142, 423)(143, 427)(144, 430)(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) :: { ( 12, 48 ), ( 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1598
Graph:: simple bipartite
	v = 216 e = 288 f = 30
	degree seq :: [ 2^144, 4^72 ]

E22.1602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^4 * Y2 * Y3^-3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1, (Y3^-2 * Y2 * Y3^2 * Y2)^2, (Y3 * Y2)^6, Y3^10 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^24 ]
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, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 339, 483)(322, 466, 347, 491)(323, 467, 336, 480)(324, 468, 344, 488)(326, 470, 342, 486)(328, 472, 340, 484)(330, 474, 348, 492)(331, 475, 338, 482)(332, 476, 346, 490)(334, 478, 350, 494)(351, 495, 380, 524)(352, 496, 386, 530)(353, 497, 387, 531)(354, 498, 389, 533)(355, 499, 391, 535)(356, 500, 392, 536)(357, 501, 374, 518)(358, 502, 375, 519)(359, 503, 385, 529)(360, 504, 390, 534)(361, 505, 388, 532)(362, 506, 396, 540)(363, 507, 368, 512)(364, 508, 398, 542)(365, 509, 382, 526)(366, 510, 397, 541)(367, 511, 399, 543)(369, 513, 404, 548)(370, 514, 405, 549)(371, 515, 407, 551)(372, 516, 409, 553)(373, 517, 410, 554)(376, 520, 403, 547)(377, 521, 408, 552)(378, 522, 406, 550)(379, 523, 414, 558)(381, 525, 416, 560)(383, 527, 415, 559)(384, 528, 417, 561)(393, 537, 412, 556)(394, 538, 411, 555)(395, 539, 420, 564)(400, 544, 419, 563)(401, 545, 418, 562)(402, 546, 413, 557)(421, 565, 432, 576)(422, 566, 431, 575)(423, 567, 430, 574)(424, 568, 429, 573)(425, 569, 428, 572)(426, 570, 427, 571)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 353)(33, 354)(34, 304)(35, 357)(36, 305)(37, 359)(38, 361)(39, 352)(40, 360)(41, 355)(42, 308)(43, 358)(44, 309)(45, 356)(46, 310)(47, 368)(48, 370)(49, 371)(50, 312)(51, 374)(52, 313)(53, 376)(54, 378)(55, 369)(56, 377)(57, 372)(58, 316)(59, 375)(60, 317)(61, 373)(62, 318)(63, 385)(64, 319)(65, 388)(66, 390)(67, 321)(68, 322)(69, 393)(70, 324)(71, 394)(72, 325)(73, 395)(74, 327)(75, 329)(76, 330)(77, 332)(78, 333)(79, 334)(80, 403)(81, 335)(82, 406)(83, 408)(84, 337)(85, 338)(86, 411)(87, 340)(88, 412)(89, 341)(90, 413)(91, 343)(92, 345)(93, 346)(94, 348)(95, 349)(96, 350)(97, 414)(98, 416)(99, 409)(100, 423)(101, 415)(102, 422)(103, 421)(104, 362)(105, 420)(106, 426)(107, 418)(108, 424)(109, 363)(110, 425)(111, 364)(112, 365)(113, 366)(114, 367)(115, 396)(116, 398)(117, 391)(118, 429)(119, 397)(120, 428)(121, 427)(122, 379)(123, 402)(124, 432)(125, 400)(126, 430)(127, 380)(128, 431)(129, 381)(130, 382)(131, 383)(132, 384)(133, 386)(134, 387)(135, 399)(136, 389)(137, 392)(138, 401)(139, 404)(140, 405)(141, 417)(142, 407)(143, 410)(144, 419)(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) :: { ( 12, 48 ), ( 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1599
Graph:: simple bipartite
	v = 216 e = 288 f = 30
	degree seq :: [ 2^144, 4^72 ]

E22.1603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, (Y1, Y3^-1, Y1^-1), Y1^-1 * Y3 * Y1^-3 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^6, Y1^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 39, 183, 53, 197, 65, 209, 77, 221, 89, 233, 101, 245, 113, 257, 125, 269, 124, 268, 112, 256, 100, 244, 88, 232, 76, 220, 64, 208, 52, 196, 38, 182, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 47, 191, 59, 203, 71, 215, 83, 227, 95, 239, 107, 251, 119, 263, 131, 275, 136, 280, 129, 273, 115, 259, 102, 246, 93, 237, 79, 223, 66, 210, 57, 201, 41, 185, 24, 168, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 21, 165, 37, 181, 51, 195, 63, 207, 75, 219, 87, 231, 99, 243, 111, 255, 123, 267, 135, 279, 139, 283, 127, 271, 114, 258, 105, 249, 91, 235, 78, 222, 69, 213, 55, 199, 40, 184, 30, 174, 14, 158)(9, 153, 19, 163, 36, 180, 50, 194, 62, 206, 74, 218, 86, 230, 98, 242, 110, 254, 122, 266, 134, 278, 137, 281, 126, 270, 117, 261, 103, 247, 90, 234, 81, 225, 67, 211, 54, 198, 44, 188, 26, 170, 12, 156, 25, 169, 20, 164)(16, 160, 28, 172, 42, 186, 35, 179, 46, 190, 58, 202, 70, 214, 82, 226, 94, 238, 106, 250, 118, 262, 130, 274, 140, 284, 144, 288, 142, 286, 132, 276, 121, 265, 109, 253, 96, 240, 85, 229, 73, 217, 60, 204, 49, 193, 33, 177)(17, 161, 29, 173, 43, 187, 56, 200, 68, 212, 80, 224, 92, 236, 104, 248, 116, 260, 128, 272, 138, 282, 143, 287, 141, 285, 133, 277, 120, 264, 108, 252, 97, 241, 84, 228, 72, 216, 61, 205, 48, 192, 32, 176, 45, 189, 34, 178)(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, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 323)(19, 321)(20, 322)(21, 298)(22, 319)(23, 328)(24, 299)(25, 330)(26, 331)(27, 333)(28, 301)(29, 302)(30, 334)(31, 310)(32, 303)(33, 307)(34, 308)(35, 306)(36, 336)(37, 337)(38, 338)(39, 342)(40, 311)(41, 344)(42, 313)(43, 314)(44, 346)(45, 315)(46, 318)(47, 348)(48, 324)(49, 325)(50, 326)(51, 349)(52, 351)(53, 354)(54, 327)(55, 356)(56, 329)(57, 358)(58, 332)(59, 360)(60, 335)(61, 339)(62, 361)(63, 340)(64, 359)(65, 366)(66, 341)(67, 368)(68, 343)(69, 370)(70, 345)(71, 352)(72, 347)(73, 350)(74, 372)(75, 373)(76, 374)(77, 378)(78, 353)(79, 380)(80, 355)(81, 382)(82, 357)(83, 384)(84, 362)(85, 363)(86, 364)(87, 385)(88, 387)(89, 390)(90, 365)(91, 392)(92, 367)(93, 394)(94, 369)(95, 396)(96, 371)(97, 375)(98, 397)(99, 376)(100, 395)(101, 402)(102, 377)(103, 404)(104, 379)(105, 406)(106, 381)(107, 388)(108, 383)(109, 386)(110, 408)(111, 409)(112, 410)(113, 414)(114, 389)(115, 416)(116, 391)(117, 418)(118, 393)(119, 420)(120, 398)(121, 399)(122, 400)(123, 421)(124, 423)(125, 424)(126, 401)(127, 426)(128, 403)(129, 428)(130, 405)(131, 429)(132, 407)(133, 411)(134, 430)(135, 412)(136, 413)(137, 431)(138, 415)(139, 432)(140, 417)(141, 419)(142, 422)(143, 425)(144, 427)(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, 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 E22.1594
Graph:: simple bipartite
	v = 150 e = 288 f = 96
	degree seq :: [ 2^144, 48^6 ]

E22.1604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, (Y3^-1 * Y1)^6, Y1^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 20, 164, 32, 176, 47, 191, 61, 205, 73, 217, 85, 229, 97, 241, 109, 253, 121, 265, 120, 264, 108, 252, 96, 240, 84, 228, 72, 216, 60, 204, 46, 190, 31, 175, 19, 163, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 25, 169, 39, 183, 55, 199, 67, 211, 79, 223, 91, 235, 103, 247, 115, 259, 127, 271, 132, 276, 123, 267, 110, 254, 99, 243, 86, 230, 75, 219, 62, 206, 49, 193, 33, 177, 22, 166, 12, 156, 8, 152)(6, 150, 13, 157, 9, 153, 18, 162, 29, 173, 44, 188, 58, 202, 70, 214, 82, 226, 94, 238, 106, 250, 118, 262, 130, 274, 133, 277, 122, 266, 111, 255, 98, 242, 87, 231, 74, 218, 63, 207, 48, 192, 34, 178, 21, 165, 14, 158)(16, 160, 26, 170, 17, 161, 28, 172, 35, 179, 51, 195, 64, 208, 77, 221, 88, 232, 101, 245, 112, 256, 125, 269, 134, 278, 141, 285, 137, 281, 128, 272, 116, 260, 104, 248, 92, 236, 80, 224, 68, 212, 56, 200, 40, 184, 27, 171)(23, 167, 36, 180, 24, 168, 38, 182, 50, 194, 65, 209, 76, 220, 89, 233, 100, 244, 113, 257, 124, 268, 135, 279, 140, 284, 139, 283, 131, 275, 119, 263, 107, 251, 95, 239, 83, 227, 71, 215, 59, 203, 45, 189, 30, 174, 37, 181)(41, 185, 53, 197, 42, 186, 57, 201, 69, 213, 81, 225, 93, 237, 105, 249, 117, 261, 129, 273, 138, 282, 143, 287, 144, 288, 142, 286, 136, 280, 126, 270, 114, 258, 102, 246, 90, 234, 78, 222, 66, 210, 54, 198, 43, 187, 52, 196)(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, 318)(19, 317)(20, 321)(21, 299)(22, 323)(23, 301)(24, 302)(25, 328)(26, 329)(27, 330)(28, 331)(29, 307)(30, 306)(31, 327)(32, 336)(33, 308)(34, 338)(35, 310)(36, 340)(37, 341)(38, 342)(39, 319)(40, 313)(41, 314)(42, 315)(43, 316)(44, 347)(45, 345)(46, 346)(47, 350)(48, 320)(49, 352)(50, 322)(51, 354)(52, 324)(53, 325)(54, 326)(55, 356)(56, 357)(57, 333)(58, 334)(59, 332)(60, 355)(61, 362)(62, 335)(63, 364)(64, 337)(65, 366)(66, 339)(67, 348)(68, 343)(69, 344)(70, 371)(71, 369)(72, 370)(73, 374)(74, 349)(75, 376)(76, 351)(77, 378)(78, 353)(79, 380)(80, 381)(81, 359)(82, 360)(83, 358)(84, 379)(85, 386)(86, 361)(87, 388)(88, 363)(89, 390)(90, 365)(91, 372)(92, 367)(93, 368)(94, 395)(95, 393)(96, 394)(97, 398)(98, 373)(99, 400)(100, 375)(101, 402)(102, 377)(103, 404)(104, 405)(105, 383)(106, 384)(107, 382)(108, 403)(109, 410)(110, 385)(111, 412)(112, 387)(113, 414)(114, 389)(115, 396)(116, 391)(117, 392)(118, 419)(119, 417)(120, 418)(121, 420)(122, 397)(123, 422)(124, 399)(125, 424)(126, 401)(127, 425)(128, 426)(129, 407)(130, 408)(131, 406)(132, 409)(133, 428)(134, 411)(135, 430)(136, 413)(137, 415)(138, 416)(139, 431)(140, 421)(141, 432)(142, 423)(143, 427)(144, 429)(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, 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 E22.1595
Graph:: simple bipartite
	v = 150 e = 288 f = 96
	degree seq :: [ 2^144, 48^6 ]

E22.1605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-2, Y1^-4 * Y3 * Y1^4 * Y3, (Y3 * Y1^-1)^6, Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-9 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 80, 224, 115, 259, 105, 249, 71, 215, 37, 181, 61, 205, 90, 234, 64, 208, 32, 176, 56, 200, 87, 231, 121, 265, 114, 258, 79, 223, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 48, 192, 82, 226, 118, 262, 112, 256, 77, 221, 44, 188, 21, 165, 43, 187, 54, 198, 26, 170, 12, 156, 25, 169, 51, 195, 86, 230, 116, 260, 107, 251, 73, 217, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 81, 225, 117, 261, 111, 255, 76, 220, 42, 186, 20, 164, 9, 153, 19, 163, 39, 183, 50, 194, 24, 168, 49, 193, 83, 227, 120, 264, 113, 257, 78, 222, 45, 189, 62, 206, 30, 174, 14, 158)(16, 160, 33, 177, 52, 196, 88, 232, 119, 263, 140, 284, 137, 281, 104, 248, 70, 214, 36, 180, 17, 161, 35, 179, 53, 197, 89, 233, 63, 207, 97, 241, 124, 268, 143, 287, 138, 282, 106, 250, 72, 216, 102, 246, 67, 211, 34, 178)(28, 172, 57, 201, 84, 228, 122, 266, 139, 283, 135, 279, 109, 253, 75, 219, 41, 185, 60, 204, 29, 173, 59, 203, 85, 229, 123, 267, 91, 235, 127, 271, 141, 285, 134, 278, 110, 254, 132, 276, 96, 240, 74, 218, 40, 184, 58, 202)(65, 209, 98, 242, 133, 277, 108, 252, 131, 275, 94, 238, 128, 272, 92, 236, 69, 213, 101, 245, 66, 210, 100, 244, 126, 270, 144, 288, 125, 269, 95, 239, 130, 274, 93, 237, 129, 273, 142, 286, 136, 280, 103, 247, 68, 212, 99, 243)(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, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 351)(32, 303)(33, 353)(34, 354)(35, 356)(36, 357)(37, 306)(38, 360)(39, 352)(40, 307)(41, 308)(42, 359)(43, 355)(44, 358)(45, 310)(46, 361)(47, 369)(48, 311)(49, 372)(50, 373)(51, 375)(52, 313)(53, 314)(54, 378)(55, 379)(56, 315)(57, 380)(58, 381)(59, 382)(60, 383)(61, 318)(62, 384)(63, 319)(64, 327)(65, 321)(66, 322)(67, 331)(68, 323)(69, 324)(70, 332)(71, 330)(72, 326)(73, 334)(74, 396)(75, 386)(76, 398)(77, 393)(78, 397)(79, 399)(80, 404)(81, 335)(82, 407)(83, 409)(84, 337)(85, 338)(86, 412)(87, 339)(88, 413)(89, 414)(90, 342)(91, 343)(92, 345)(93, 346)(94, 347)(95, 348)(96, 350)(97, 421)(98, 363)(99, 422)(100, 423)(101, 415)(102, 424)(103, 410)(104, 417)(105, 365)(106, 416)(107, 425)(108, 362)(109, 366)(110, 364)(111, 367)(112, 426)(113, 403)(114, 406)(115, 401)(116, 368)(117, 427)(118, 402)(119, 370)(120, 429)(121, 371)(122, 391)(123, 430)(124, 374)(125, 376)(126, 377)(127, 389)(128, 394)(129, 392)(130, 431)(131, 428)(132, 432)(133, 385)(134, 387)(135, 388)(136, 390)(137, 395)(138, 400)(139, 405)(140, 419)(141, 408)(142, 411)(143, 418)(144, 420)(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, 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 E22.1596
Graph:: simple bipartite
	v = 150 e = 288 f = 96
	degree seq :: [ 2^144, 48^6 ]

E22.1606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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, Y2^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 23, 167)(16, 160, 27, 171)(18, 162, 30, 174)(19, 163, 24, 168)(20, 164, 28, 172)(22, 166, 26, 170)(31, 175, 41, 185)(32, 176, 45, 189)(33, 177, 39, 183)(34, 178, 44, 188)(35, 179, 47, 191)(36, 180, 42, 186)(37, 181, 40, 184)(38, 182, 50, 194)(43, 187, 53, 197)(46, 190, 56, 200)(48, 192, 57, 201)(49, 193, 60, 204)(51, 195, 54, 198)(52, 196, 63, 207)(55, 199, 66, 210)(58, 202, 69, 213)(59, 203, 68, 212)(61, 205, 70, 214)(62, 206, 65, 209)(64, 208, 67, 211)(71, 215, 81, 225)(72, 216, 80, 224)(73, 217, 83, 227)(74, 218, 78, 222)(75, 219, 77, 221)(76, 220, 86, 230)(79, 223, 89, 233)(82, 226, 92, 236)(84, 228, 93, 237)(85, 229, 96, 240)(87, 231, 90, 234)(88, 232, 99, 243)(91, 235, 102, 246)(94, 238, 105, 249)(95, 239, 104, 248)(97, 241, 106, 250)(98, 242, 101, 245)(100, 244, 103, 247)(107, 251, 117, 261)(108, 252, 116, 260)(109, 253, 119, 263)(110, 254, 114, 258)(111, 255, 113, 257)(112, 256, 122, 266)(115, 259, 125, 269)(118, 262, 128, 272)(120, 264, 129, 273)(121, 265, 132, 276)(123, 267, 126, 270)(124, 268, 135, 279)(127, 271, 137, 281)(130, 274, 140, 284)(131, 275, 139, 283)(133, 277, 138, 282)(134, 278, 136, 280)(141, 285, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 323, 467, 337, 481, 349, 493, 361, 505, 373, 517, 385, 529, 397, 541, 409, 553, 421, 565, 412, 556, 400, 544, 388, 532, 376, 520, 364, 508, 352, 496, 340, 484, 326, 470, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 331, 475, 343, 487, 355, 499, 367, 511, 379, 523, 391, 535, 403, 547, 415, 559, 426, 570, 418, 562, 406, 550, 394, 538, 382, 526, 370, 514, 358, 502, 346, 490, 334, 478, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 319, 463, 309, 453, 325, 469, 339, 483, 351, 495, 363, 507, 375, 519, 387, 531, 399, 543, 411, 555, 423, 567, 429, 573, 419, 563, 407, 551, 395, 539, 383, 527, 371, 515, 359, 503, 347, 491, 335, 479, 320, 464, 304, 448)(297, 441, 307, 451, 324, 468, 338, 482, 350, 494, 362, 506, 374, 518, 386, 530, 398, 542, 410, 554, 422, 566, 430, 574, 420, 564, 408, 552, 396, 540, 384, 528, 372, 516, 360, 504, 348, 492, 336, 480, 322, 466, 305, 449, 321, 465, 308, 452)(299, 443, 311, 455, 327, 471, 317, 461, 333, 477, 345, 489, 357, 501, 369, 513, 381, 525, 393, 537, 405, 549, 417, 561, 428, 572, 431, 575, 424, 568, 413, 557, 401, 545, 389, 533, 377, 521, 365, 509, 353, 497, 341, 485, 328, 472, 312, 456)(301, 445, 315, 459, 332, 476, 344, 488, 356, 500, 368, 512, 380, 524, 392, 536, 404, 548, 416, 560, 427, 571, 432, 576, 425, 569, 414, 558, 402, 546, 390, 534, 378, 522, 366, 510, 354, 498, 342, 486, 330, 474, 313, 457, 329, 473, 316, 460)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 311)(16, 315)(17, 296)(18, 318)(19, 312)(20, 316)(21, 298)(22, 314)(23, 303)(24, 307)(25, 300)(26, 310)(27, 304)(28, 308)(29, 302)(30, 306)(31, 329)(32, 333)(33, 327)(34, 332)(35, 335)(36, 330)(37, 328)(38, 338)(39, 321)(40, 325)(41, 319)(42, 324)(43, 341)(44, 322)(45, 320)(46, 344)(47, 323)(48, 345)(49, 348)(50, 326)(51, 342)(52, 351)(53, 331)(54, 339)(55, 354)(56, 334)(57, 336)(58, 357)(59, 356)(60, 337)(61, 358)(62, 353)(63, 340)(64, 355)(65, 350)(66, 343)(67, 352)(68, 347)(69, 346)(70, 349)(71, 369)(72, 368)(73, 371)(74, 366)(75, 365)(76, 374)(77, 363)(78, 362)(79, 377)(80, 360)(81, 359)(82, 380)(83, 361)(84, 381)(85, 384)(86, 364)(87, 378)(88, 387)(89, 367)(90, 375)(91, 390)(92, 370)(93, 372)(94, 393)(95, 392)(96, 373)(97, 394)(98, 389)(99, 376)(100, 391)(101, 386)(102, 379)(103, 388)(104, 383)(105, 382)(106, 385)(107, 405)(108, 404)(109, 407)(110, 402)(111, 401)(112, 410)(113, 399)(114, 398)(115, 413)(116, 396)(117, 395)(118, 416)(119, 397)(120, 417)(121, 420)(122, 400)(123, 414)(124, 423)(125, 403)(126, 411)(127, 425)(128, 406)(129, 408)(130, 428)(131, 427)(132, 409)(133, 426)(134, 424)(135, 412)(136, 422)(137, 415)(138, 421)(139, 419)(140, 418)(141, 431)(142, 432)(143, 429)(144, 430)(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, 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 E22.1609
Graph:: bipartite
	v = 78 e = 288 f = 168
	degree seq :: [ 4^72, 48^6 ]

E22.1607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|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, (Y3 * Y2^-1)^6, Y2^24 ]
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, 25, 169)(16, 160, 26, 170)(17, 161, 27, 171)(18, 162, 29, 173)(19, 163, 30, 174)(20, 164, 32, 176)(21, 165, 33, 177)(22, 166, 34, 178)(23, 167, 36, 180)(24, 168, 37, 181)(28, 172, 38, 182)(31, 175, 35, 179)(39, 183, 48, 192)(40, 184, 47, 191)(41, 185, 52, 196)(42, 186, 55, 199)(43, 187, 56, 200)(44, 188, 49, 193)(45, 189, 58, 202)(46, 190, 59, 203)(50, 194, 61, 205)(51, 195, 62, 206)(53, 197, 64, 208)(54, 198, 65, 209)(57, 201, 66, 210)(60, 204, 63, 207)(67, 211, 76, 220)(68, 212, 79, 223)(69, 213, 80, 224)(70, 214, 73, 217)(71, 215, 82, 226)(72, 216, 83, 227)(74, 218, 85, 229)(75, 219, 86, 230)(77, 221, 88, 232)(78, 222, 89, 233)(81, 225, 90, 234)(84, 228, 87, 231)(91, 235, 100, 244)(92, 236, 103, 247)(93, 237, 104, 248)(94, 238, 97, 241)(95, 239, 106, 250)(96, 240, 107, 251)(98, 242, 109, 253)(99, 243, 110, 254)(101, 245, 112, 256)(102, 246, 113, 257)(105, 249, 114, 258)(108, 252, 111, 255)(115, 259, 124, 268)(116, 260, 127, 271)(117, 261, 128, 272)(118, 262, 121, 265)(119, 263, 130, 274)(120, 264, 131, 275)(122, 266, 132, 276)(123, 267, 133, 277)(125, 269, 135, 279)(126, 270, 136, 280)(129, 273, 134, 278)(137, 281, 142, 286)(138, 282, 143, 287)(139, 283, 140, 284)(141, 285, 144, 288)(289, 433, 291, 435, 296, 440, 305, 449, 316, 460, 331, 475, 345, 489, 357, 501, 369, 513, 381, 525, 393, 537, 405, 549, 417, 561, 408, 552, 396, 540, 384, 528, 372, 516, 360, 504, 348, 492, 334, 478, 319, 463, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 323, 467, 339, 483, 351, 495, 363, 507, 375, 519, 387, 531, 399, 543, 411, 555, 422, 566, 414, 558, 402, 546, 390, 534, 378, 522, 366, 510, 354, 498, 342, 486, 326, 470, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 318, 462, 333, 477, 347, 491, 359, 503, 371, 515, 383, 527, 395, 539, 407, 551, 419, 563, 426, 570, 416, 560, 404, 548, 392, 536, 380, 524, 368, 512, 356, 500, 344, 488, 330, 474, 315, 459, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 325, 469, 341, 485, 353, 497, 365, 509, 377, 521, 389, 533, 401, 545, 413, 557, 424, 568, 429, 573, 421, 565, 410, 554, 398, 542, 386, 530, 374, 518, 362, 506, 350, 494, 338, 482, 322, 466, 309, 453)(313, 457, 327, 471, 314, 458, 329, 473, 343, 487, 355, 499, 367, 511, 379, 523, 391, 535, 403, 547, 415, 559, 425, 569, 431, 575, 427, 571, 418, 562, 406, 550, 394, 538, 382, 526, 370, 514, 358, 502, 346, 490, 332, 476, 317, 461, 328, 472)(320, 464, 335, 479, 321, 465, 337, 481, 349, 493, 361, 505, 373, 517, 385, 529, 397, 541, 409, 553, 420, 564, 428, 572, 432, 576, 430, 574, 423, 567, 412, 556, 400, 544, 388, 532, 376, 520, 364, 508, 352, 496, 340, 484, 324, 468, 336, 480)
	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, 313)(16, 314)(17, 315)(18, 317)(19, 318)(20, 320)(21, 321)(22, 322)(23, 324)(24, 325)(25, 303)(26, 304)(27, 305)(28, 326)(29, 306)(30, 307)(31, 323)(32, 308)(33, 309)(34, 310)(35, 319)(36, 311)(37, 312)(38, 316)(39, 336)(40, 335)(41, 340)(42, 343)(43, 344)(44, 337)(45, 346)(46, 347)(47, 328)(48, 327)(49, 332)(50, 349)(51, 350)(52, 329)(53, 352)(54, 353)(55, 330)(56, 331)(57, 354)(58, 333)(59, 334)(60, 351)(61, 338)(62, 339)(63, 348)(64, 341)(65, 342)(66, 345)(67, 364)(68, 367)(69, 368)(70, 361)(71, 370)(72, 371)(73, 358)(74, 373)(75, 374)(76, 355)(77, 376)(78, 377)(79, 356)(80, 357)(81, 378)(82, 359)(83, 360)(84, 375)(85, 362)(86, 363)(87, 372)(88, 365)(89, 366)(90, 369)(91, 388)(92, 391)(93, 392)(94, 385)(95, 394)(96, 395)(97, 382)(98, 397)(99, 398)(100, 379)(101, 400)(102, 401)(103, 380)(104, 381)(105, 402)(106, 383)(107, 384)(108, 399)(109, 386)(110, 387)(111, 396)(112, 389)(113, 390)(114, 393)(115, 412)(116, 415)(117, 416)(118, 409)(119, 418)(120, 419)(121, 406)(122, 420)(123, 421)(124, 403)(125, 423)(126, 424)(127, 404)(128, 405)(129, 422)(130, 407)(131, 408)(132, 410)(133, 411)(134, 417)(135, 413)(136, 414)(137, 430)(138, 431)(139, 428)(140, 427)(141, 432)(142, 425)(143, 426)(144, 429)(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, 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 E22.1610
Graph:: bipartite
	v = 78 e = 288 f = 168
	degree seq :: [ 4^72, 48^6 ]

E22.1608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-3)^2, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, (Y3 * Y2^-1)^6, (Y2^2 * Y1 * Y2^4)^2 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 51, 195)(34, 178, 59, 203)(35, 179, 48, 192)(36, 180, 56, 200)(38, 182, 54, 198)(40, 184, 52, 196)(42, 186, 60, 204)(43, 187, 50, 194)(44, 188, 58, 202)(46, 190, 62, 206)(63, 207, 92, 236)(64, 208, 98, 242)(65, 209, 99, 243)(66, 210, 101, 245)(67, 211, 103, 247)(68, 212, 104, 248)(69, 213, 86, 230)(70, 214, 87, 231)(71, 215, 97, 241)(72, 216, 102, 246)(73, 217, 100, 244)(74, 218, 108, 252)(75, 219, 80, 224)(76, 220, 110, 254)(77, 221, 94, 238)(78, 222, 109, 253)(79, 223, 111, 255)(81, 225, 116, 260)(82, 226, 117, 261)(83, 227, 119, 263)(84, 228, 121, 265)(85, 229, 122, 266)(88, 232, 115, 259)(89, 233, 120, 264)(90, 234, 118, 262)(91, 235, 126, 270)(93, 237, 128, 272)(95, 239, 127, 271)(96, 240, 129, 273)(105, 249, 124, 268)(106, 250, 123, 267)(107, 251, 132, 276)(112, 256, 131, 275)(113, 257, 130, 274)(114, 258, 125, 269)(133, 277, 144, 288)(134, 278, 143, 287)(135, 279, 142, 286)(136, 280, 141, 285)(137, 281, 140, 284)(138, 282, 139, 283)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 361, 505, 395, 539, 418, 562, 382, 526, 348, 492, 317, 461, 347, 491, 375, 519, 340, 484, 313, 457, 339, 483, 374, 518, 411, 555, 402, 546, 367, 511, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 378, 522, 413, 557, 400, 544, 365, 509, 332, 476, 309, 453, 331, 475, 358, 502, 324, 468, 305, 449, 323, 467, 357, 501, 393, 537, 420, 564, 384, 528, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 353, 497, 388, 532, 423, 567, 399, 543, 364, 508, 330, 474, 308, 452, 297, 441, 307, 451, 328, 472, 360, 504, 325, 469, 359, 503, 394, 538, 426, 570, 401, 545, 366, 510, 333, 477, 356, 500, 322, 466, 304, 448)(299, 443, 311, 455, 336, 480, 370, 514, 406, 550, 429, 573, 417, 561, 381, 525, 346, 490, 316, 460, 301, 445, 315, 459, 344, 488, 377, 521, 341, 485, 376, 520, 412, 556, 432, 576, 419, 563, 383, 527, 349, 493, 373, 517, 338, 482, 312, 456)(319, 463, 351, 495, 385, 529, 414, 558, 430, 574, 407, 551, 397, 541, 363, 507, 329, 473, 355, 499, 321, 465, 354, 498, 390, 534, 422, 566, 387, 531, 409, 553, 427, 571, 404, 548, 398, 542, 425, 569, 392, 536, 362, 506, 327, 471, 352, 496)(335, 479, 368, 512, 403, 547, 396, 540, 424, 568, 389, 533, 415, 559, 380, 524, 345, 489, 372, 516, 337, 481, 371, 515, 408, 552, 428, 572, 405, 549, 391, 535, 421, 565, 386, 530, 416, 560, 431, 575, 410, 554, 379, 523, 343, 487, 369, 513)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 339)(33, 304)(34, 347)(35, 336)(36, 344)(37, 306)(38, 342)(39, 307)(40, 340)(41, 308)(42, 348)(43, 338)(44, 346)(45, 310)(46, 350)(47, 311)(48, 323)(49, 312)(50, 331)(51, 320)(52, 328)(53, 314)(54, 326)(55, 315)(56, 324)(57, 316)(58, 332)(59, 322)(60, 330)(61, 318)(62, 334)(63, 380)(64, 386)(65, 387)(66, 389)(67, 391)(68, 392)(69, 374)(70, 375)(71, 385)(72, 390)(73, 388)(74, 396)(75, 368)(76, 398)(77, 382)(78, 397)(79, 399)(80, 363)(81, 404)(82, 405)(83, 407)(84, 409)(85, 410)(86, 357)(87, 358)(88, 403)(89, 408)(90, 406)(91, 414)(92, 351)(93, 416)(94, 365)(95, 415)(96, 417)(97, 359)(98, 352)(99, 353)(100, 361)(101, 354)(102, 360)(103, 355)(104, 356)(105, 412)(106, 411)(107, 420)(108, 362)(109, 366)(110, 364)(111, 367)(112, 419)(113, 418)(114, 413)(115, 376)(116, 369)(117, 370)(118, 378)(119, 371)(120, 377)(121, 372)(122, 373)(123, 394)(124, 393)(125, 402)(126, 379)(127, 383)(128, 381)(129, 384)(130, 401)(131, 400)(132, 395)(133, 432)(134, 431)(135, 430)(136, 429)(137, 428)(138, 427)(139, 426)(140, 425)(141, 424)(142, 423)(143, 422)(144, 421)(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, 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 E22.1611
Graph:: bipartite
	v = 78 e = 288 f = 168
	degree seq :: [ 4^72, 48^6 ]

E22.1609 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x D48 (small group id <144, 72>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3^-1 * Y1 * Y3^-1 * Y1^3, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 17, 161, 8, 152, 21, 165, 11, 155)(5, 149, 14, 158, 18, 162, 12, 156, 20, 164, 7, 151)(10, 154, 24, 168, 29, 173, 23, 167, 33, 177, 22, 166)(15, 159, 26, 170, 30, 174, 19, 163, 31, 175, 27, 171)(25, 169, 34, 178, 41, 185, 36, 180, 45, 189, 35, 179)(28, 172, 32, 176, 42, 186, 39, 183, 43, 187, 38, 182)(37, 181, 47, 191, 53, 197, 46, 190, 57, 201, 48, 192)(40, 184, 51, 195, 54, 198, 50, 194, 55, 199, 44, 188)(49, 193, 60, 204, 65, 209, 59, 203, 69, 213, 58, 202)(52, 196, 62, 206, 66, 210, 56, 200, 67, 211, 63, 207)(61, 205, 70, 214, 77, 221, 72, 216, 81, 225, 71, 215)(64, 208, 68, 212, 78, 222, 75, 219, 79, 223, 74, 218)(73, 217, 83, 227, 89, 233, 82, 226, 93, 237, 84, 228)(76, 220, 87, 231, 90, 234, 86, 230, 91, 235, 80, 224)(85, 229, 96, 240, 101, 245, 95, 239, 105, 249, 94, 238)(88, 232, 98, 242, 102, 246, 92, 236, 103, 247, 99, 243)(97, 241, 106, 250, 113, 257, 108, 252, 117, 261, 107, 251)(100, 244, 104, 248, 114, 258, 111, 255, 115, 259, 110, 254)(109, 253, 119, 263, 125, 269, 118, 262, 129, 273, 120, 264)(112, 256, 123, 267, 126, 270, 122, 266, 127, 271, 116, 260)(121, 265, 132, 276, 136, 280, 131, 275, 140, 284, 130, 274)(124, 268, 134, 278, 137, 281, 128, 272, 138, 282, 135, 279)(133, 277, 139, 283, 143, 287, 142, 286, 144, 288, 141, 285)(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, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 313)(11, 304)(12, 314)(13, 309)(14, 315)(15, 293)(16, 302)(17, 317)(18, 294)(19, 320)(20, 301)(21, 321)(22, 296)(23, 297)(24, 299)(25, 325)(26, 326)(27, 327)(28, 303)(29, 329)(30, 306)(31, 308)(32, 332)(33, 333)(34, 310)(35, 311)(36, 312)(37, 337)(38, 338)(39, 339)(40, 316)(41, 341)(42, 318)(43, 319)(44, 344)(45, 345)(46, 322)(47, 323)(48, 324)(49, 349)(50, 350)(51, 351)(52, 328)(53, 353)(54, 330)(55, 331)(56, 356)(57, 357)(58, 334)(59, 335)(60, 336)(61, 361)(62, 362)(63, 363)(64, 340)(65, 365)(66, 342)(67, 343)(68, 368)(69, 369)(70, 346)(71, 347)(72, 348)(73, 373)(74, 374)(75, 375)(76, 352)(77, 377)(78, 354)(79, 355)(80, 380)(81, 381)(82, 358)(83, 359)(84, 360)(85, 385)(86, 386)(87, 387)(88, 364)(89, 389)(90, 366)(91, 367)(92, 392)(93, 393)(94, 370)(95, 371)(96, 372)(97, 397)(98, 398)(99, 399)(100, 376)(101, 401)(102, 378)(103, 379)(104, 404)(105, 405)(106, 382)(107, 383)(108, 384)(109, 409)(110, 410)(111, 411)(112, 388)(113, 413)(114, 390)(115, 391)(116, 416)(117, 417)(118, 394)(119, 395)(120, 396)(121, 421)(122, 422)(123, 423)(124, 400)(125, 424)(126, 402)(127, 403)(128, 427)(129, 428)(130, 406)(131, 407)(132, 408)(133, 412)(134, 429)(135, 430)(136, 431)(137, 414)(138, 415)(139, 418)(140, 432)(141, 419)(142, 420)(143, 425)(144, 426)(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, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1606
Graph:: simple bipartite
	v = 168 e = 288 f = 78
	degree seq :: [ 2^144, 12^24 ]

E22.1610 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = (C3 x (C3 : C8)) : C2 (small group id <144, 57>)
Aut   = $<288, 441>$ (small group id <288, 441>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 14, 158, 12, 156, 4, 148)(3, 147, 9, 153, 19, 163, 26, 170, 15, 159, 8, 152)(5, 149, 11, 155, 22, 166, 25, 169, 16, 160, 7, 151)(10, 154, 18, 162, 27, 171, 38, 182, 31, 175, 20, 164)(13, 157, 17, 161, 28, 172, 37, 181, 34, 178, 23, 167)(21, 165, 32, 176, 43, 187, 50, 194, 39, 183, 30, 174)(24, 168, 35, 179, 46, 190, 49, 193, 40, 184, 29, 173)(33, 177, 42, 186, 51, 195, 62, 206, 55, 199, 44, 188)(36, 180, 41, 185, 52, 196, 61, 205, 58, 202, 47, 191)(45, 189, 56, 200, 67, 211, 74, 218, 63, 207, 54, 198)(48, 192, 59, 203, 70, 214, 73, 217, 64, 208, 53, 197)(57, 201, 66, 210, 75, 219, 86, 230, 79, 223, 68, 212)(60, 204, 65, 209, 76, 220, 85, 229, 82, 226, 71, 215)(69, 213, 80, 224, 91, 235, 98, 242, 87, 231, 78, 222)(72, 216, 83, 227, 94, 238, 97, 241, 88, 232, 77, 221)(81, 225, 90, 234, 99, 243, 110, 254, 103, 247, 92, 236)(84, 228, 89, 233, 100, 244, 109, 253, 106, 250, 95, 239)(93, 237, 104, 248, 115, 259, 122, 266, 111, 255, 102, 246)(96, 240, 107, 251, 118, 262, 121, 265, 112, 256, 101, 245)(105, 249, 114, 258, 123, 267, 133, 277, 127, 271, 116, 260)(108, 252, 113, 257, 124, 268, 132, 276, 130, 274, 119, 263)(117, 261, 128, 272, 137, 281, 141, 285, 134, 278, 126, 270)(120, 264, 131, 275, 139, 283, 140, 284, 135, 279, 125, 269)(129, 273, 136, 280, 142, 286, 144, 288, 143, 287, 138, 282)(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, 303)(7, 305)(8, 290)(9, 292)(10, 309)(11, 311)(12, 307)(13, 293)(14, 313)(15, 315)(16, 294)(17, 317)(18, 296)(19, 319)(20, 297)(21, 321)(22, 300)(23, 323)(24, 301)(25, 325)(26, 302)(27, 327)(28, 304)(29, 329)(30, 306)(31, 331)(32, 308)(33, 333)(34, 310)(35, 335)(36, 312)(37, 337)(38, 314)(39, 339)(40, 316)(41, 341)(42, 318)(43, 343)(44, 320)(45, 345)(46, 322)(47, 347)(48, 324)(49, 349)(50, 326)(51, 351)(52, 328)(53, 353)(54, 330)(55, 355)(56, 332)(57, 357)(58, 334)(59, 359)(60, 336)(61, 361)(62, 338)(63, 363)(64, 340)(65, 365)(66, 342)(67, 367)(68, 344)(69, 369)(70, 346)(71, 371)(72, 348)(73, 373)(74, 350)(75, 375)(76, 352)(77, 377)(78, 354)(79, 379)(80, 356)(81, 381)(82, 358)(83, 383)(84, 360)(85, 385)(86, 362)(87, 387)(88, 364)(89, 389)(90, 366)(91, 391)(92, 368)(93, 393)(94, 370)(95, 395)(96, 372)(97, 397)(98, 374)(99, 399)(100, 376)(101, 401)(102, 378)(103, 403)(104, 380)(105, 405)(106, 382)(107, 407)(108, 384)(109, 409)(110, 386)(111, 411)(112, 388)(113, 413)(114, 390)(115, 415)(116, 392)(117, 417)(118, 394)(119, 419)(120, 396)(121, 420)(122, 398)(123, 422)(124, 400)(125, 424)(126, 402)(127, 425)(128, 404)(129, 408)(130, 406)(131, 426)(132, 428)(133, 410)(134, 430)(135, 412)(136, 414)(137, 431)(138, 416)(139, 418)(140, 432)(141, 421)(142, 423)(143, 427)(144, 429)(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, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1607
Graph:: simple bipartite
	v = 168 e = 288 f = 78
	degree seq :: [ 2^144, 12^24 ]

E22.1611 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x ((C3 x D8) : C2) (small group id <144, 80>)
Aut   = $<288, 574>$ (small group id <288, 574>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3^-2 * Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1^-2 * Y3^-2 * Y1, Y3^-4 * Y1 * Y3^4 * Y1^-1, Y3^3 * Y1^-1 * Y3^-5 * Y1^-1, Y3^-7 * Y1^2 * Y3^-1 * Y1^2, (Y3 * Y2^-1)^24 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 55, 199, 29, 173, 11, 155)(5, 149, 14, 158, 34, 178, 49, 193, 20, 164, 7, 151)(8, 152, 21, 165, 50, 194, 84, 228, 42, 186, 17, 161)(10, 154, 25, 169, 41, 185, 81, 225, 64, 208, 27, 171)(12, 156, 30, 174, 68, 212, 114, 258, 65, 209, 32, 176)(15, 159, 37, 181, 44, 188, 87, 231, 69, 213, 35, 179)(18, 162, 43, 187, 85, 229, 121, 265, 78, 222, 39, 183)(19, 163, 45, 189, 77, 221, 71, 215, 31, 175, 47, 191)(22, 166, 53, 197, 80, 224, 56, 200, 24, 168, 51, 195)(26, 170, 60, 204, 101, 245, 124, 268, 109, 253, 62, 206)(28, 172, 48, 192, 83, 227, 120, 264, 110, 254, 66, 210)(33, 177, 40, 184, 79, 223, 122, 266, 111, 255, 63, 207)(36, 180, 52, 196, 86, 230, 123, 267, 99, 243, 57, 201)(38, 182, 75, 219, 118, 262, 119, 263, 89, 233, 74, 218)(46, 190, 90, 234, 73, 217, 115, 259, 136, 280, 92, 236)(54, 198, 97, 241, 138, 282, 112, 256, 125, 269, 96, 240)(58, 202, 102, 246, 127, 271, 82, 226, 59, 203, 95, 239)(61, 205, 91, 235, 126, 270, 142, 286, 141, 285, 107, 251)(67, 211, 100, 244, 128, 272, 94, 238, 137, 281, 108, 252)(70, 214, 116, 260, 130, 274, 88, 232, 131, 275, 106, 250)(72, 216, 117, 261, 129, 273, 113, 257, 135, 279, 93, 237)(76, 220, 98, 242, 132, 276, 143, 287, 140, 284, 103, 247)(104, 248, 133, 277, 144, 288, 139, 283, 105, 249, 134, 278)(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, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 319)(13, 321)(14, 323)(15, 293)(16, 327)(17, 329)(18, 294)(19, 334)(20, 336)(21, 339)(22, 296)(23, 344)(24, 297)(25, 299)(26, 349)(27, 351)(28, 353)(29, 355)(30, 301)(31, 358)(32, 354)(33, 352)(34, 345)(35, 361)(36, 302)(37, 362)(38, 303)(39, 365)(40, 304)(41, 370)(42, 371)(43, 325)(44, 306)(45, 308)(46, 379)(47, 320)(48, 317)(49, 381)(50, 324)(51, 383)(52, 309)(53, 384)(54, 310)(55, 387)(56, 389)(57, 311)(58, 312)(59, 313)(60, 315)(61, 394)(62, 396)(63, 398)(64, 400)(65, 401)(66, 399)(67, 397)(68, 375)(69, 318)(70, 395)(71, 366)(72, 322)(73, 393)(74, 392)(75, 391)(76, 326)(77, 407)(78, 408)(79, 341)(80, 328)(81, 330)(82, 414)(83, 337)(84, 416)(85, 340)(86, 331)(87, 418)(88, 332)(89, 333)(90, 335)(91, 350)(92, 423)(93, 424)(94, 338)(95, 422)(96, 421)(97, 364)(98, 342)(99, 356)(100, 343)(101, 427)(102, 428)(103, 346)(104, 347)(105, 348)(106, 417)(107, 426)(108, 410)(109, 420)(110, 409)(111, 425)(112, 429)(113, 419)(114, 411)(115, 357)(116, 359)(117, 363)(118, 360)(119, 430)(120, 372)(121, 405)(122, 374)(123, 367)(124, 368)(125, 369)(126, 380)(127, 388)(128, 390)(129, 373)(130, 432)(131, 386)(132, 376)(133, 377)(134, 378)(135, 402)(136, 431)(137, 385)(138, 382)(139, 404)(140, 403)(141, 406)(142, 415)(143, 412)(144, 413)(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, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1608
Graph:: simple bipartite
	v = 168 e = 288 f = 78
	degree seq :: [ 2^144, 12^24 ]

E22.1612 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^2 * T2 * T1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2, (T2 * T1^-3)^3, T1^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 47, 85, 124, 143, 142, 112, 67, 99, 72, 104, 136, 144, 141, 123, 84, 46, 22, 10, 4)(3, 7, 15, 31, 48, 87, 127, 106, 140, 101, 58, 28, 57, 41, 79, 120, 132, 90, 131, 117, 75, 38, 18, 8)(6, 13, 27, 55, 86, 126, 109, 81, 122, 134, 93, 52, 36, 17, 35, 70, 108, 63, 107, 83, 45, 62, 30, 14)(9, 19, 39, 50, 24, 49, 88, 74, 114, 69, 34, 16, 33, 66, 111, 128, 95, 53, 94, 135, 121, 80, 42, 20)(12, 25, 51, 91, 125, 115, 78, 40, 77, 119, 130, 89, 60, 29, 59, 102, 138, 97, 82, 44, 21, 43, 54, 26)(32, 64, 103, 133, 118, 76, 116, 71, 100, 129, 96, 137, 113, 68, 92, 61, 105, 139, 98, 56, 37, 73, 110, 65)
	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, 63)(33, 67)(34, 68)(35, 71)(36, 72)(38, 74)(39, 76)(42, 64)(43, 81)(44, 66)(46, 75)(47, 86)(49, 89)(50, 90)(51, 92)(54, 96)(55, 97)(57, 99)(58, 100)(59, 103)(60, 104)(62, 106)(65, 109)(69, 102)(70, 115)(73, 94)(77, 112)(78, 98)(79, 113)(80, 91)(82, 116)(83, 119)(84, 121)(85, 125)(87, 128)(88, 129)(93, 133)(95, 136)(101, 135)(105, 131)(107, 137)(108, 141)(110, 130)(111, 139)(114, 124)(117, 134)(118, 127)(120, 126)(122, 142)(123, 138)(132, 144)(140, 143)
	local type(s) :: { ( 6^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1613
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 6 e = 72 f = 24
	degree seq :: [ 24^6 ]

E22.1613 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 24})
Quotient :: regular
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^2 * T2 * T1)^2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 ]
Map:: 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, 100, 76, 103, 73)(49, 74, 99, 71, 67, 75)(51, 77, 82, 69, 96, 78)(52, 79, 98, 70, 97, 80)(64, 90, 119, 93, 122, 91)(65, 83, 110, 89, 86, 92)(68, 94, 118, 88, 117, 95)(81, 108, 114, 85, 113, 109)(84, 111, 116, 87, 115, 112)(101, 120, 139, 133, 144, 131)(102, 106, 123, 130, 127, 132)(104, 134, 140, 129, 138, 135)(105, 121, 124, 126, 143, 136)(107, 125, 141, 128, 142, 137)
	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, 81)(54, 82)(55, 83)(56, 84)(57, 85)(58, 78)(59, 86)(60, 87)(61, 74)(62, 88)(63, 89)(66, 93)(72, 101)(73, 102)(75, 104)(77, 105)(79, 106)(80, 107)(90, 120)(91, 121)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(103, 133)(108, 131)(109, 138)(110, 132)(111, 135)(112, 137)(113, 139)(114, 134)(115, 140)(116, 141)(117, 136)(118, 142)(119, 143)(122, 144)
	local type(s) :: { ( 24^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1612
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 24 e = 72 f = 6
	degree seq :: [ 6^24 ]

E22.1614 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^2 * T1 * T2)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 ]
Map::
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 70, 50, 72, 46)(31, 48, 74, 47, 73, 49)(35, 53, 78, 51, 77, 54)(36, 55, 80, 52, 79, 56)(37, 57, 86, 62, 88, 58)(39, 60, 89, 59, 75, 61)(43, 65, 82, 63, 91, 66)(44, 67, 93, 64, 92, 68)(69, 97, 129, 101, 130, 98)(71, 83, 110, 99, 106, 100)(76, 103, 132, 102, 131, 104)(81, 108, 135, 105, 134, 109)(84, 111, 137, 107, 136, 112)(85, 113, 139, 117, 140, 114)(87, 95, 126, 115, 122, 116)(90, 119, 141, 118, 138, 120)(94, 124, 133, 121, 142, 125)(96, 127, 144, 123, 143, 128)(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, 181)(167, 183)(170, 187)(171, 188)(174, 191)(176, 194)(177, 195)(178, 196)(182, 203)(184, 206)(185, 207)(186, 208)(189, 213)(190, 215)(192, 219)(193, 220)(197, 225)(198, 226)(199, 227)(200, 228)(201, 229)(202, 231)(204, 217)(205, 234)(209, 238)(210, 222)(211, 239)(212, 240)(214, 243)(216, 245)(218, 246)(221, 249)(223, 250)(224, 251)(230, 259)(232, 261)(233, 262)(235, 265)(236, 266)(237, 267)(241, 257)(242, 268)(244, 270)(247, 277)(248, 271)(252, 258)(253, 282)(254, 260)(255, 264)(256, 272)(263, 279)(269, 275)(273, 286)(274, 284)(276, 287)(278, 283)(280, 285)(281, 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) :: { ( 48, 48 ), ( 48^6 ) }
Outer automorphisms :: reflexible
Dual of E22.1618
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 144 f = 6
	degree seq :: [ 2^72, 6^24 ]

E22.1615 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-2)^2, T1^6, (T2^2 * T1^-1)^3, T1^-1 * T2 * T1 * T2^-1 * T1^-3 * T2^2 * T1^-1, T2^5 * T1 * T2^-3 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1, T1^-1 * T2 * T1 * T2^-2 * T1 * T2^17 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 104, 142, 132, 144, 118, 72, 37, 16, 36, 71, 117, 143, 121, 133, 90, 70, 35, 15, 5)(2, 7, 19, 42, 82, 57, 106, 96, 136, 108, 60, 29, 13, 31, 63, 110, 140, 102, 139, 123, 91, 48, 22, 8)(4, 12, 30, 61, 105, 127, 138, 115, 124, 78, 40, 18, 6, 17, 38, 74, 120, 83, 116, 69, 97, 52, 24, 9)(11, 28, 59, 107, 119, 75, 111, 65, 113, 135, 93, 50, 23, 49, 92, 134, 109, 62, 68, 34, 67, 101, 54, 25)(14, 32, 64, 103, 55, 27, 58, 47, 89, 126, 80, 41, 20, 44, 85, 129, 99, 53, 98, 87, 130, 114, 66, 33)(21, 45, 86, 128, 81, 43, 84, 77, 122, 141, 112, 73, 39, 76, 100, 137, 125, 79, 95, 51, 94, 131, 88, 46)(145, 146, 150, 160, 157, 148)(147, 153, 167, 180, 162, 155)(149, 158, 175, 181, 164, 151)(152, 165, 156, 173, 183, 161)(154, 169, 197, 215, 194, 171)(159, 178, 188, 216, 209, 176)(163, 185, 223, 207, 177, 187)(166, 191, 220, 204, 231, 189)(168, 195, 172, 184, 221, 193)(170, 199, 246, 261, 243, 201)(174, 190, 219, 182, 217, 206)(179, 213, 257, 262, 259, 211)(186, 225, 271, 254, 269, 227)(192, 234, 274, 252, 276, 233)(196, 240, 266, 222, 267, 238)(198, 244, 202, 237, 230, 242)(200, 226, 264, 287, 284, 249)(203, 239, 224, 236, 228, 210)(205, 253, 265, 218, 263, 248)(208, 255, 232, 229, 212, 256)(214, 235, 268, 288, 280, 241)(245, 282, 272, 279, 260, 281)(247, 285, 250, 273, 275, 283)(251, 258, 277, 278, 270, 286)
	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) :: { ( 4^6 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1619
Transitivity :: ET+
Graph:: bipartite
	v = 30 e = 144 f = 72
	degree seq :: [ 6^24, 24^6 ]

E22.1616 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 24})
Quotient :: edge
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^2 * T2 * T1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-3)^3, T1^24 ]
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, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 63)(33, 67)(34, 68)(35, 71)(36, 72)(38, 74)(39, 76)(42, 64)(43, 81)(44, 66)(46, 75)(47, 86)(49, 89)(50, 90)(51, 92)(54, 96)(55, 97)(57, 99)(58, 100)(59, 103)(60, 104)(62, 106)(65, 109)(69, 102)(70, 115)(73, 94)(77, 112)(78, 98)(79, 113)(80, 91)(82, 116)(83, 119)(84, 121)(85, 125)(87, 128)(88, 129)(93, 133)(95, 136)(101, 135)(105, 131)(107, 137)(108, 141)(110, 130)(111, 139)(114, 124)(117, 134)(118, 127)(120, 126)(122, 142)(123, 138)(132, 144)(140, 143)(145, 146, 149, 155, 167, 191, 229, 268, 287, 286, 256, 211, 243, 216, 248, 280, 288, 285, 267, 228, 190, 166, 154, 148)(147, 151, 159, 175, 192, 231, 271, 250, 284, 245, 202, 172, 201, 185, 223, 264, 276, 234, 275, 261, 219, 182, 162, 152)(150, 157, 171, 199, 230, 270, 253, 225, 266, 278, 237, 196, 180, 161, 179, 214, 252, 207, 251, 227, 189, 206, 174, 158)(153, 163, 183, 194, 168, 193, 232, 218, 258, 213, 178, 160, 177, 210, 255, 272, 239, 197, 238, 279, 265, 224, 186, 164)(156, 169, 195, 235, 269, 259, 222, 184, 221, 263, 274, 233, 204, 173, 203, 246, 282, 241, 226, 188, 165, 187, 198, 170)(176, 208, 247, 277, 262, 220, 260, 215, 244, 273, 240, 281, 257, 212, 236, 205, 249, 283, 242, 200, 181, 217, 254, 209)
	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) :: { ( 12, 12 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E22.1617
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 144 f = 24
	degree seq :: [ 2^72, 24^6 ]

E22.1617 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^2 * T1 * T2)^2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1, T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 18, 162, 10, 154, 4, 148)(2, 146, 5, 149, 12, 156, 25, 169, 14, 158, 6, 150)(7, 151, 15, 159, 30, 174, 21, 165, 32, 176, 16, 160)(9, 153, 19, 163, 34, 178, 17, 161, 33, 177, 20, 164)(11, 155, 22, 166, 38, 182, 28, 172, 40, 184, 23, 167)(13, 157, 26, 170, 42, 186, 24, 168, 41, 185, 27, 171)(29, 173, 45, 189, 70, 214, 50, 194, 72, 216, 46, 190)(31, 175, 48, 192, 74, 218, 47, 191, 73, 217, 49, 193)(35, 179, 53, 197, 78, 222, 51, 195, 77, 221, 54, 198)(36, 180, 55, 199, 80, 224, 52, 196, 79, 223, 56, 200)(37, 181, 57, 201, 86, 230, 62, 206, 88, 232, 58, 202)(39, 183, 60, 204, 89, 233, 59, 203, 75, 219, 61, 205)(43, 187, 65, 209, 82, 226, 63, 207, 91, 235, 66, 210)(44, 188, 67, 211, 93, 237, 64, 208, 92, 236, 68, 212)(69, 213, 97, 241, 129, 273, 101, 245, 130, 274, 98, 242)(71, 215, 83, 227, 110, 254, 99, 243, 106, 250, 100, 244)(76, 220, 103, 247, 132, 276, 102, 246, 131, 275, 104, 248)(81, 225, 108, 252, 135, 279, 105, 249, 134, 278, 109, 253)(84, 228, 111, 255, 137, 281, 107, 251, 136, 280, 112, 256)(85, 229, 113, 257, 139, 283, 117, 261, 140, 284, 114, 258)(87, 231, 95, 239, 126, 270, 115, 259, 122, 266, 116, 260)(90, 234, 119, 263, 141, 285, 118, 262, 138, 282, 120, 264)(94, 238, 124, 268, 133, 277, 121, 265, 142, 286, 125, 269)(96, 240, 127, 271, 144, 288, 123, 267, 143, 287, 128, 272)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 155)(6, 157)(7, 147)(8, 161)(9, 148)(10, 165)(11, 149)(12, 168)(13, 150)(14, 172)(15, 173)(16, 175)(17, 152)(18, 169)(19, 179)(20, 180)(21, 154)(22, 181)(23, 183)(24, 156)(25, 162)(26, 187)(27, 188)(28, 158)(29, 159)(30, 191)(31, 160)(32, 194)(33, 195)(34, 196)(35, 163)(36, 164)(37, 166)(38, 203)(39, 167)(40, 206)(41, 207)(42, 208)(43, 170)(44, 171)(45, 213)(46, 215)(47, 174)(48, 219)(49, 220)(50, 176)(51, 177)(52, 178)(53, 225)(54, 226)(55, 227)(56, 228)(57, 229)(58, 231)(59, 182)(60, 217)(61, 234)(62, 184)(63, 185)(64, 186)(65, 238)(66, 222)(67, 239)(68, 240)(69, 189)(70, 243)(71, 190)(72, 245)(73, 204)(74, 246)(75, 192)(76, 193)(77, 249)(78, 210)(79, 250)(80, 251)(81, 197)(82, 198)(83, 199)(84, 200)(85, 201)(86, 259)(87, 202)(88, 261)(89, 262)(90, 205)(91, 265)(92, 266)(93, 267)(94, 209)(95, 211)(96, 212)(97, 257)(98, 268)(99, 214)(100, 270)(101, 216)(102, 218)(103, 277)(104, 271)(105, 221)(106, 223)(107, 224)(108, 258)(109, 282)(110, 260)(111, 264)(112, 272)(113, 241)(114, 252)(115, 230)(116, 254)(117, 232)(118, 233)(119, 279)(120, 255)(121, 235)(122, 236)(123, 237)(124, 242)(125, 275)(126, 244)(127, 248)(128, 256)(129, 286)(130, 284)(131, 269)(132, 287)(133, 247)(134, 283)(135, 263)(136, 285)(137, 288)(138, 253)(139, 278)(140, 274)(141, 280)(142, 273)(143, 276)(144, 281)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1616
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 144 f = 78
	degree seq :: [ 12^24 ]

E22.1618 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-2)^2, T1^6, (T2^2 * T1^-1)^3, T1^-1 * T2 * T1 * T2^-1 * T1^-3 * T2^2 * T1^-1, T2^5 * T1 * T2^-3 * T1, T2^3 * T1^-1 * T2^-5 * T1^-1, T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1, T1^-1 * T2 * T1 * T2^-2 * T1 * T2^17 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 26, 170, 56, 200, 104, 248, 142, 286, 132, 276, 144, 288, 118, 262, 72, 216, 37, 181, 16, 160, 36, 180, 71, 215, 117, 261, 143, 287, 121, 265, 133, 277, 90, 234, 70, 214, 35, 179, 15, 159, 5, 149)(2, 146, 7, 151, 19, 163, 42, 186, 82, 226, 57, 201, 106, 250, 96, 240, 136, 280, 108, 252, 60, 204, 29, 173, 13, 157, 31, 175, 63, 207, 110, 254, 140, 284, 102, 246, 139, 283, 123, 267, 91, 235, 48, 192, 22, 166, 8, 152)(4, 148, 12, 156, 30, 174, 61, 205, 105, 249, 127, 271, 138, 282, 115, 259, 124, 268, 78, 222, 40, 184, 18, 162, 6, 150, 17, 161, 38, 182, 74, 218, 120, 264, 83, 227, 116, 260, 69, 213, 97, 241, 52, 196, 24, 168, 9, 153)(11, 155, 28, 172, 59, 203, 107, 251, 119, 263, 75, 219, 111, 255, 65, 209, 113, 257, 135, 279, 93, 237, 50, 194, 23, 167, 49, 193, 92, 236, 134, 278, 109, 253, 62, 206, 68, 212, 34, 178, 67, 211, 101, 245, 54, 198, 25, 169)(14, 158, 32, 176, 64, 208, 103, 247, 55, 199, 27, 171, 58, 202, 47, 191, 89, 233, 126, 270, 80, 224, 41, 185, 20, 164, 44, 188, 85, 229, 129, 273, 99, 243, 53, 197, 98, 242, 87, 231, 130, 274, 114, 258, 66, 210, 33, 177)(21, 165, 45, 189, 86, 230, 128, 272, 81, 225, 43, 187, 84, 228, 77, 221, 122, 266, 141, 285, 112, 256, 73, 217, 39, 183, 76, 220, 100, 244, 137, 281, 125, 269, 79, 223, 95, 239, 51, 195, 94, 238, 131, 275, 88, 232, 46, 190)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 158)(6, 160)(7, 149)(8, 165)(9, 167)(10, 169)(11, 147)(12, 173)(13, 148)(14, 175)(15, 178)(16, 157)(17, 152)(18, 155)(19, 185)(20, 151)(21, 156)(22, 191)(23, 180)(24, 195)(25, 197)(26, 199)(27, 154)(28, 184)(29, 183)(30, 190)(31, 181)(32, 159)(33, 187)(34, 188)(35, 213)(36, 162)(37, 164)(38, 217)(39, 161)(40, 221)(41, 223)(42, 225)(43, 163)(44, 216)(45, 166)(46, 219)(47, 220)(48, 234)(49, 168)(50, 171)(51, 172)(52, 240)(53, 215)(54, 244)(55, 246)(56, 226)(57, 170)(58, 237)(59, 239)(60, 231)(61, 253)(62, 174)(63, 177)(64, 255)(65, 176)(66, 203)(67, 179)(68, 256)(69, 257)(70, 235)(71, 194)(72, 209)(73, 206)(74, 263)(75, 182)(76, 204)(77, 193)(78, 267)(79, 207)(80, 236)(81, 271)(82, 264)(83, 186)(84, 210)(85, 212)(86, 242)(87, 189)(88, 229)(89, 192)(90, 274)(91, 268)(92, 228)(93, 230)(94, 196)(95, 224)(96, 266)(97, 214)(98, 198)(99, 201)(100, 202)(101, 282)(102, 261)(103, 285)(104, 205)(105, 200)(106, 273)(107, 258)(108, 276)(109, 265)(110, 269)(111, 232)(112, 208)(113, 262)(114, 277)(115, 211)(116, 281)(117, 243)(118, 259)(119, 248)(120, 287)(121, 218)(122, 222)(123, 238)(124, 288)(125, 227)(126, 286)(127, 254)(128, 279)(129, 275)(130, 252)(131, 283)(132, 233)(133, 278)(134, 270)(135, 260)(136, 241)(137, 245)(138, 272)(139, 247)(140, 249)(141, 250)(142, 251)(143, 284)(144, 280)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1614
Transitivity :: ET+ VT+ AT
Graph::
	v = 6 e = 144 f = 96
	degree seq :: [ 48^6 ]

E22.1619 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 24})
Quotient :: loop
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, (T2 * T1^2 * T2 * T1)^2, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-3)^3, T1^24 ]
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, 21, 165)(11, 155, 24, 168)(13, 157, 28, 172)(14, 158, 29, 173)(15, 159, 32, 176)(18, 162, 37, 181)(19, 163, 40, 184)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 48, 192)(25, 169, 52, 196)(26, 170, 53, 197)(27, 171, 56, 200)(30, 174, 61, 205)(31, 175, 63, 207)(33, 177, 67, 211)(34, 178, 68, 212)(35, 179, 71, 215)(36, 180, 72, 216)(38, 182, 74, 218)(39, 183, 76, 220)(42, 186, 64, 208)(43, 187, 81, 225)(44, 188, 66, 210)(46, 190, 75, 219)(47, 191, 86, 230)(49, 193, 89, 233)(50, 194, 90, 234)(51, 195, 92, 236)(54, 198, 96, 240)(55, 199, 97, 241)(57, 201, 99, 243)(58, 202, 100, 244)(59, 203, 103, 247)(60, 204, 104, 248)(62, 206, 106, 250)(65, 209, 109, 253)(69, 213, 102, 246)(70, 214, 115, 259)(73, 217, 94, 238)(77, 221, 112, 256)(78, 222, 98, 242)(79, 223, 113, 257)(80, 224, 91, 235)(82, 226, 116, 260)(83, 227, 119, 263)(84, 228, 121, 265)(85, 229, 125, 269)(87, 231, 128, 272)(88, 232, 129, 273)(93, 237, 133, 277)(95, 239, 136, 280)(101, 245, 135, 279)(105, 249, 131, 275)(107, 251, 137, 281)(108, 252, 141, 285)(110, 254, 130, 274)(111, 255, 139, 283)(114, 258, 124, 268)(117, 261, 134, 278)(118, 262, 127, 271)(120, 264, 126, 270)(122, 266, 142, 286)(123, 267, 138, 282)(132, 276, 144, 288)(140, 284, 143, 287)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 163)(10, 148)(11, 167)(12, 169)(13, 171)(14, 150)(15, 175)(16, 177)(17, 179)(18, 152)(19, 183)(20, 153)(21, 187)(22, 154)(23, 191)(24, 193)(25, 195)(26, 156)(27, 199)(28, 201)(29, 203)(30, 158)(31, 192)(32, 208)(33, 210)(34, 160)(35, 214)(36, 161)(37, 217)(38, 162)(39, 194)(40, 221)(41, 223)(42, 164)(43, 198)(44, 165)(45, 206)(46, 166)(47, 229)(48, 231)(49, 232)(50, 168)(51, 235)(52, 180)(53, 238)(54, 170)(55, 230)(56, 181)(57, 185)(58, 172)(59, 246)(60, 173)(61, 249)(62, 174)(63, 251)(64, 247)(65, 176)(66, 255)(67, 243)(68, 236)(69, 178)(70, 252)(71, 244)(72, 248)(73, 254)(74, 258)(75, 182)(76, 260)(77, 263)(78, 184)(79, 264)(80, 186)(81, 266)(82, 188)(83, 189)(84, 190)(85, 268)(86, 270)(87, 271)(88, 218)(89, 204)(90, 275)(91, 269)(92, 205)(93, 196)(94, 279)(95, 197)(96, 281)(97, 226)(98, 200)(99, 216)(100, 273)(101, 202)(102, 282)(103, 277)(104, 280)(105, 283)(106, 284)(107, 227)(108, 207)(109, 225)(110, 209)(111, 272)(112, 211)(113, 212)(114, 213)(115, 222)(116, 215)(117, 219)(118, 220)(119, 274)(120, 276)(121, 224)(122, 278)(123, 228)(124, 287)(125, 259)(126, 253)(127, 250)(128, 239)(129, 240)(130, 233)(131, 261)(132, 234)(133, 262)(134, 237)(135, 265)(136, 288)(137, 257)(138, 241)(139, 242)(140, 245)(141, 267)(142, 256)(143, 286)(144, 285)
	local type(s) :: { ( 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E22.1615
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 72 e = 144 f = 30
	degree seq :: [ 4^72 ]

E22.1620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y1 * R * Y2^2)^2, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-2, (Y2^-2 * R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 24, 168)(14, 158, 28, 172)(15, 159, 29, 173)(16, 160, 31, 175)(18, 162, 25, 169)(19, 163, 35, 179)(20, 164, 36, 180)(22, 166, 37, 181)(23, 167, 39, 183)(26, 170, 43, 187)(27, 171, 44, 188)(30, 174, 47, 191)(32, 176, 50, 194)(33, 177, 51, 195)(34, 178, 52, 196)(38, 182, 59, 203)(40, 184, 62, 206)(41, 185, 63, 207)(42, 186, 64, 208)(45, 189, 69, 213)(46, 190, 71, 215)(48, 192, 75, 219)(49, 193, 76, 220)(53, 197, 81, 225)(54, 198, 82, 226)(55, 199, 83, 227)(56, 200, 84, 228)(57, 201, 85, 229)(58, 202, 87, 231)(60, 204, 73, 217)(61, 205, 90, 234)(65, 209, 94, 238)(66, 210, 78, 222)(67, 211, 95, 239)(68, 212, 96, 240)(70, 214, 99, 243)(72, 216, 101, 245)(74, 218, 102, 246)(77, 221, 105, 249)(79, 223, 106, 250)(80, 224, 107, 251)(86, 230, 115, 259)(88, 232, 117, 261)(89, 233, 118, 262)(91, 235, 121, 265)(92, 236, 122, 266)(93, 237, 123, 267)(97, 241, 113, 257)(98, 242, 124, 268)(100, 244, 126, 270)(103, 247, 133, 277)(104, 248, 127, 271)(108, 252, 114, 258)(109, 253, 138, 282)(110, 254, 116, 260)(111, 255, 120, 264)(112, 256, 128, 272)(119, 263, 135, 279)(125, 269, 131, 275)(129, 273, 142, 286)(130, 274, 140, 284)(132, 276, 143, 287)(134, 278, 139, 283)(136, 280, 141, 285)(137, 281, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 313, 457, 302, 446, 294, 438)(295, 439, 303, 447, 318, 462, 309, 453, 320, 464, 304, 448)(297, 441, 307, 451, 322, 466, 305, 449, 321, 465, 308, 452)(299, 443, 310, 454, 326, 470, 316, 460, 328, 472, 311, 455)(301, 445, 314, 458, 330, 474, 312, 456, 329, 473, 315, 459)(317, 461, 333, 477, 358, 502, 338, 482, 360, 504, 334, 478)(319, 463, 336, 480, 362, 506, 335, 479, 361, 505, 337, 481)(323, 467, 341, 485, 366, 510, 339, 483, 365, 509, 342, 486)(324, 468, 343, 487, 368, 512, 340, 484, 367, 511, 344, 488)(325, 469, 345, 489, 374, 518, 350, 494, 376, 520, 346, 490)(327, 471, 348, 492, 377, 521, 347, 491, 363, 507, 349, 493)(331, 475, 353, 497, 370, 514, 351, 495, 379, 523, 354, 498)(332, 476, 355, 499, 381, 525, 352, 496, 380, 524, 356, 500)(357, 501, 385, 529, 417, 561, 389, 533, 418, 562, 386, 530)(359, 503, 371, 515, 398, 542, 387, 531, 394, 538, 388, 532)(364, 508, 391, 535, 420, 564, 390, 534, 419, 563, 392, 536)(369, 513, 396, 540, 423, 567, 393, 537, 422, 566, 397, 541)(372, 516, 399, 543, 425, 569, 395, 539, 424, 568, 400, 544)(373, 517, 401, 545, 427, 571, 405, 549, 428, 572, 402, 546)(375, 519, 383, 527, 414, 558, 403, 547, 410, 554, 404, 548)(378, 522, 407, 551, 429, 573, 406, 550, 426, 570, 408, 552)(382, 526, 412, 556, 421, 565, 409, 553, 430, 574, 413, 557)(384, 528, 415, 559, 432, 576, 411, 555, 431, 575, 416, 560)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 312)(13, 294)(14, 316)(15, 317)(16, 319)(17, 296)(18, 313)(19, 323)(20, 324)(21, 298)(22, 325)(23, 327)(24, 300)(25, 306)(26, 331)(27, 332)(28, 302)(29, 303)(30, 335)(31, 304)(32, 338)(33, 339)(34, 340)(35, 307)(36, 308)(37, 310)(38, 347)(39, 311)(40, 350)(41, 351)(42, 352)(43, 314)(44, 315)(45, 357)(46, 359)(47, 318)(48, 363)(49, 364)(50, 320)(51, 321)(52, 322)(53, 369)(54, 370)(55, 371)(56, 372)(57, 373)(58, 375)(59, 326)(60, 361)(61, 378)(62, 328)(63, 329)(64, 330)(65, 382)(66, 366)(67, 383)(68, 384)(69, 333)(70, 387)(71, 334)(72, 389)(73, 348)(74, 390)(75, 336)(76, 337)(77, 393)(78, 354)(79, 394)(80, 395)(81, 341)(82, 342)(83, 343)(84, 344)(85, 345)(86, 403)(87, 346)(88, 405)(89, 406)(90, 349)(91, 409)(92, 410)(93, 411)(94, 353)(95, 355)(96, 356)(97, 401)(98, 412)(99, 358)(100, 414)(101, 360)(102, 362)(103, 421)(104, 415)(105, 365)(106, 367)(107, 368)(108, 402)(109, 426)(110, 404)(111, 408)(112, 416)(113, 385)(114, 396)(115, 374)(116, 398)(117, 376)(118, 377)(119, 423)(120, 399)(121, 379)(122, 380)(123, 381)(124, 386)(125, 419)(126, 388)(127, 392)(128, 400)(129, 430)(130, 428)(131, 413)(132, 431)(133, 391)(134, 427)(135, 407)(136, 429)(137, 432)(138, 397)(139, 422)(140, 418)(141, 424)(142, 417)(143, 420)(144, 425)(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, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1623
Graph:: bipartite
	v = 96 e = 288 f = 150
	degree seq :: [ 4^72, 12^24 ]

E22.1621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (Y1 * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y2 * Y1^-2)^2, Y1^6, (Y1 * Y2^-2)^3, Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-3 * Y2^2 * Y1^-1, Y2^3 * Y1^-1 * Y2^-5 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1, Y1^-1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^17 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 36, 180, 18, 162, 11, 155)(5, 149, 14, 158, 31, 175, 37, 181, 20, 164, 7, 151)(8, 152, 21, 165, 12, 156, 29, 173, 39, 183, 17, 161)(10, 154, 25, 169, 53, 197, 71, 215, 50, 194, 27, 171)(15, 159, 34, 178, 44, 188, 72, 216, 65, 209, 32, 176)(19, 163, 41, 185, 79, 223, 63, 207, 33, 177, 43, 187)(22, 166, 47, 191, 76, 220, 60, 204, 87, 231, 45, 189)(24, 168, 51, 195, 28, 172, 40, 184, 77, 221, 49, 193)(26, 170, 55, 199, 102, 246, 117, 261, 99, 243, 57, 201)(30, 174, 46, 190, 75, 219, 38, 182, 73, 217, 62, 206)(35, 179, 69, 213, 113, 257, 118, 262, 115, 259, 67, 211)(42, 186, 81, 225, 127, 271, 110, 254, 125, 269, 83, 227)(48, 192, 90, 234, 130, 274, 108, 252, 132, 276, 89, 233)(52, 196, 96, 240, 122, 266, 78, 222, 123, 267, 94, 238)(54, 198, 100, 244, 58, 202, 93, 237, 86, 230, 98, 242)(56, 200, 82, 226, 120, 264, 143, 287, 140, 284, 105, 249)(59, 203, 95, 239, 80, 224, 92, 236, 84, 228, 66, 210)(61, 205, 109, 253, 121, 265, 74, 218, 119, 263, 104, 248)(64, 208, 111, 255, 88, 232, 85, 229, 68, 212, 112, 256)(70, 214, 91, 235, 124, 268, 144, 288, 136, 280, 97, 241)(101, 245, 138, 282, 128, 272, 135, 279, 116, 260, 137, 281)(103, 247, 141, 285, 106, 250, 129, 273, 131, 275, 139, 283)(107, 251, 114, 258, 133, 277, 134, 278, 126, 270, 142, 286)(289, 433, 291, 435, 298, 442, 314, 458, 344, 488, 392, 536, 430, 574, 420, 564, 432, 576, 406, 550, 360, 504, 325, 469, 304, 448, 324, 468, 359, 503, 405, 549, 431, 575, 409, 553, 421, 565, 378, 522, 358, 502, 323, 467, 303, 447, 293, 437)(290, 434, 295, 439, 307, 451, 330, 474, 370, 514, 345, 489, 394, 538, 384, 528, 424, 568, 396, 540, 348, 492, 317, 461, 301, 445, 319, 463, 351, 495, 398, 542, 428, 572, 390, 534, 427, 571, 411, 555, 379, 523, 336, 480, 310, 454, 296, 440)(292, 436, 300, 444, 318, 462, 349, 493, 393, 537, 415, 559, 426, 570, 403, 547, 412, 556, 366, 510, 328, 472, 306, 450, 294, 438, 305, 449, 326, 470, 362, 506, 408, 552, 371, 515, 404, 548, 357, 501, 385, 529, 340, 484, 312, 456, 297, 441)(299, 443, 316, 460, 347, 491, 395, 539, 407, 551, 363, 507, 399, 543, 353, 497, 401, 545, 423, 567, 381, 525, 338, 482, 311, 455, 337, 481, 380, 524, 422, 566, 397, 541, 350, 494, 356, 500, 322, 466, 355, 499, 389, 533, 342, 486, 313, 457)(302, 446, 320, 464, 352, 496, 391, 535, 343, 487, 315, 459, 346, 490, 335, 479, 377, 521, 414, 558, 368, 512, 329, 473, 308, 452, 332, 476, 373, 517, 417, 561, 387, 531, 341, 485, 386, 530, 375, 519, 418, 562, 402, 546, 354, 498, 321, 465)(309, 453, 333, 477, 374, 518, 416, 560, 369, 513, 331, 475, 372, 516, 365, 509, 410, 554, 429, 573, 400, 544, 361, 505, 327, 471, 364, 508, 388, 532, 425, 569, 413, 557, 367, 511, 383, 527, 339, 483, 382, 526, 419, 563, 376, 520, 334, 478)
	L = (1, 291)(2, 295)(3, 298)(4, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 318)(13, 319)(14, 320)(15, 293)(16, 324)(17, 326)(18, 294)(19, 330)(20, 332)(21, 333)(22, 296)(23, 337)(24, 297)(25, 299)(26, 344)(27, 346)(28, 347)(29, 301)(30, 349)(31, 351)(32, 352)(33, 302)(34, 355)(35, 303)(36, 359)(37, 304)(38, 362)(39, 364)(40, 306)(41, 308)(42, 370)(43, 372)(44, 373)(45, 374)(46, 309)(47, 377)(48, 310)(49, 380)(50, 311)(51, 382)(52, 312)(53, 386)(54, 313)(55, 315)(56, 392)(57, 394)(58, 335)(59, 395)(60, 317)(61, 393)(62, 356)(63, 398)(64, 391)(65, 401)(66, 321)(67, 389)(68, 322)(69, 385)(70, 323)(71, 405)(72, 325)(73, 327)(74, 408)(75, 399)(76, 388)(77, 410)(78, 328)(79, 383)(80, 329)(81, 331)(82, 345)(83, 404)(84, 365)(85, 417)(86, 416)(87, 418)(88, 334)(89, 414)(90, 358)(91, 336)(92, 422)(93, 338)(94, 419)(95, 339)(96, 424)(97, 340)(98, 375)(99, 341)(100, 425)(101, 342)(102, 427)(103, 343)(104, 430)(105, 415)(106, 384)(107, 407)(108, 348)(109, 350)(110, 428)(111, 353)(112, 361)(113, 423)(114, 354)(115, 412)(116, 357)(117, 431)(118, 360)(119, 363)(120, 371)(121, 421)(122, 429)(123, 379)(124, 366)(125, 367)(126, 368)(127, 426)(128, 369)(129, 387)(130, 402)(131, 376)(132, 432)(133, 378)(134, 397)(135, 381)(136, 396)(137, 413)(138, 403)(139, 411)(140, 390)(141, 400)(142, 420)(143, 409)(144, 406)(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 ) }
Outer automorphisms :: reflexible
Dual of E22.1622
Graph:: bipartite
	v = 30 e = 288 f = 216
	degree seq :: [ 12^24, 48^6 ]

E22.1622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^2 * Y2)^2, Y3^-3 * Y2 * Y3^4 * Y2 * Y3^-1, (Y2 * Y3^3)^3, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3, Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2, (Y3^3 * Y2)^3, (Y3^-1 * Y2)^6, (Y3^-1 * Y1^-1)^24 ]
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, 305, 449)(298, 442, 309, 453)(300, 444, 313, 457)(302, 446, 317, 461)(303, 447, 319, 463)(304, 448, 321, 465)(306, 450, 325, 469)(307, 451, 327, 471)(308, 452, 329, 473)(310, 454, 333, 477)(311, 455, 335, 479)(312, 456, 337, 481)(314, 458, 341, 485)(315, 459, 343, 487)(316, 460, 345, 489)(318, 462, 349, 493)(320, 464, 348, 492)(322, 466, 356, 500)(323, 467, 346, 490)(324, 468, 359, 503)(326, 470, 342, 486)(328, 472, 366, 510)(330, 474, 339, 483)(331, 475, 369, 513)(332, 476, 336, 480)(334, 478, 350, 494)(338, 482, 378, 522)(340, 484, 381, 525)(344, 488, 388, 532)(347, 491, 391, 535)(351, 495, 373, 517)(352, 496, 386, 530)(353, 497, 396, 540)(354, 498, 380, 524)(355, 499, 389, 533)(357, 501, 400, 544)(358, 502, 376, 520)(360, 504, 403, 547)(361, 505, 398, 542)(362, 506, 404, 548)(363, 507, 397, 541)(364, 508, 374, 518)(365, 509, 392, 536)(367, 511, 377, 521)(368, 512, 401, 545)(370, 514, 387, 531)(371, 515, 406, 550)(372, 516, 409, 553)(375, 519, 413, 557)(379, 523, 417, 561)(382, 526, 420, 564)(383, 527, 415, 559)(384, 528, 421, 565)(385, 529, 414, 558)(390, 534, 418, 562)(393, 537, 423, 567)(394, 538, 426, 570)(395, 539, 427, 571)(399, 543, 428, 572)(402, 546, 425, 569)(405, 549, 424, 568)(407, 551, 422, 566)(408, 552, 419, 563)(410, 554, 412, 556)(411, 555, 416, 560)(429, 573, 431, 575)(430, 574, 432, 576)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 306)(9, 307)(10, 292)(11, 311)(12, 314)(13, 315)(14, 294)(15, 320)(16, 295)(17, 323)(18, 326)(19, 328)(20, 297)(21, 331)(22, 298)(23, 336)(24, 299)(25, 339)(26, 342)(27, 344)(28, 301)(29, 347)(30, 302)(31, 351)(32, 353)(33, 354)(34, 304)(35, 358)(36, 305)(37, 361)(38, 363)(39, 364)(40, 362)(41, 367)(42, 308)(43, 360)(44, 309)(45, 357)(46, 310)(47, 373)(48, 375)(49, 376)(50, 312)(51, 380)(52, 313)(53, 383)(54, 385)(55, 386)(56, 384)(57, 389)(58, 316)(59, 382)(60, 317)(61, 379)(62, 318)(63, 329)(64, 319)(65, 397)(66, 378)(67, 321)(68, 399)(69, 322)(70, 401)(71, 391)(72, 324)(73, 393)(74, 325)(75, 405)(76, 406)(77, 327)(78, 387)(79, 408)(80, 330)(81, 410)(82, 332)(83, 333)(84, 334)(85, 345)(86, 335)(87, 414)(88, 356)(89, 337)(90, 416)(91, 338)(92, 418)(93, 369)(94, 340)(95, 371)(96, 341)(97, 422)(98, 423)(99, 343)(100, 365)(101, 425)(102, 346)(103, 427)(104, 348)(105, 349)(106, 350)(107, 352)(108, 370)(109, 419)(110, 355)(111, 413)(112, 429)(113, 424)(114, 359)(115, 415)(116, 428)(117, 417)(118, 420)(119, 366)(120, 430)(121, 368)(122, 426)(123, 372)(124, 374)(125, 392)(126, 402)(127, 377)(128, 396)(129, 431)(130, 407)(131, 381)(132, 398)(133, 411)(134, 400)(135, 403)(136, 388)(137, 432)(138, 390)(139, 409)(140, 394)(141, 395)(142, 404)(143, 412)(144, 421)(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) :: { ( 12, 48 ), ( 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1621
Graph:: simple bipartite
	v = 216 e = 288 f = 30
	degree seq :: [ 2^144, 4^72 ]

E22.1623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|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 * Y1^-2 * Y3)^2, Y1^-3 * Y3 * Y1^4 * Y3 * Y1^-1, (Y3 * Y1)^6, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-3 * Y3)^3, Y1^24 ]
Map::
	R = (1, 145, 2, 146, 5, 149, 11, 155, 23, 167, 47, 191, 85, 229, 124, 268, 143, 287, 142, 286, 112, 256, 67, 211, 99, 243, 72, 216, 104, 248, 136, 280, 144, 288, 141, 285, 123, 267, 84, 228, 46, 190, 22, 166, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 31, 175, 48, 192, 87, 231, 127, 271, 106, 250, 140, 284, 101, 245, 58, 202, 28, 172, 57, 201, 41, 185, 79, 223, 120, 264, 132, 276, 90, 234, 131, 275, 117, 261, 75, 219, 38, 182, 18, 162, 8, 152)(6, 150, 13, 157, 27, 171, 55, 199, 86, 230, 126, 270, 109, 253, 81, 225, 122, 266, 134, 278, 93, 237, 52, 196, 36, 180, 17, 161, 35, 179, 70, 214, 108, 252, 63, 207, 107, 251, 83, 227, 45, 189, 62, 206, 30, 174, 14, 158)(9, 153, 19, 163, 39, 183, 50, 194, 24, 168, 49, 193, 88, 232, 74, 218, 114, 258, 69, 213, 34, 178, 16, 160, 33, 177, 66, 210, 111, 255, 128, 272, 95, 239, 53, 197, 94, 238, 135, 279, 121, 265, 80, 224, 42, 186, 20, 164)(12, 156, 25, 169, 51, 195, 91, 235, 125, 269, 115, 259, 78, 222, 40, 184, 77, 221, 119, 263, 130, 274, 89, 233, 60, 204, 29, 173, 59, 203, 102, 246, 138, 282, 97, 241, 82, 226, 44, 188, 21, 165, 43, 187, 54, 198, 26, 170)(32, 176, 64, 208, 103, 247, 133, 277, 118, 262, 76, 220, 116, 260, 71, 215, 100, 244, 129, 273, 96, 240, 137, 281, 113, 257, 68, 212, 92, 236, 61, 205, 105, 249, 139, 283, 98, 242, 56, 200, 37, 181, 73, 217, 110, 254, 65, 209)(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, 309)(11, 312)(12, 293)(13, 316)(14, 317)(15, 320)(16, 295)(17, 296)(18, 325)(19, 328)(20, 329)(21, 298)(22, 333)(23, 336)(24, 299)(25, 340)(26, 341)(27, 344)(28, 301)(29, 302)(30, 349)(31, 351)(32, 303)(33, 355)(34, 356)(35, 359)(36, 360)(37, 306)(38, 362)(39, 364)(40, 307)(41, 308)(42, 352)(43, 369)(44, 354)(45, 310)(46, 363)(47, 374)(48, 311)(49, 377)(50, 378)(51, 380)(52, 313)(53, 314)(54, 384)(55, 385)(56, 315)(57, 387)(58, 388)(59, 391)(60, 392)(61, 318)(62, 394)(63, 319)(64, 330)(65, 397)(66, 332)(67, 321)(68, 322)(69, 390)(70, 403)(71, 323)(72, 324)(73, 382)(74, 326)(75, 334)(76, 327)(77, 400)(78, 386)(79, 401)(80, 379)(81, 331)(82, 404)(83, 407)(84, 409)(85, 413)(86, 335)(87, 416)(88, 417)(89, 337)(90, 338)(91, 368)(92, 339)(93, 421)(94, 361)(95, 424)(96, 342)(97, 343)(98, 366)(99, 345)(100, 346)(101, 423)(102, 357)(103, 347)(104, 348)(105, 419)(106, 350)(107, 425)(108, 429)(109, 353)(110, 418)(111, 427)(112, 365)(113, 367)(114, 412)(115, 358)(116, 370)(117, 422)(118, 415)(119, 371)(120, 414)(121, 372)(122, 430)(123, 426)(124, 402)(125, 373)(126, 408)(127, 406)(128, 375)(129, 376)(130, 398)(131, 393)(132, 432)(133, 381)(134, 405)(135, 389)(136, 383)(137, 395)(138, 411)(139, 399)(140, 431)(141, 396)(142, 410)(143, 428)(144, 420)(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, 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 E22.1620
Graph:: simple bipartite
	v = 150 e = 288 f = 96
	degree seq :: [ 2^144, 48^6 ]

E22.1624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|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 * Y2^-2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-3, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, (Y2^3 * Y1)^3, (Y3 * Y2^-1)^6, Y2^24 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 17, 161)(10, 154, 21, 165)(12, 156, 25, 169)(14, 158, 29, 173)(15, 159, 31, 175)(16, 160, 33, 177)(18, 162, 37, 181)(19, 163, 39, 183)(20, 164, 41, 185)(22, 166, 45, 189)(23, 167, 47, 191)(24, 168, 49, 193)(26, 170, 53, 197)(27, 171, 55, 199)(28, 172, 57, 201)(30, 174, 61, 205)(32, 176, 60, 204)(34, 178, 68, 212)(35, 179, 58, 202)(36, 180, 71, 215)(38, 182, 54, 198)(40, 184, 78, 222)(42, 186, 51, 195)(43, 187, 81, 225)(44, 188, 48, 192)(46, 190, 62, 206)(50, 194, 90, 234)(52, 196, 93, 237)(56, 200, 100, 244)(59, 203, 103, 247)(63, 207, 85, 229)(64, 208, 98, 242)(65, 209, 108, 252)(66, 210, 92, 236)(67, 211, 101, 245)(69, 213, 112, 256)(70, 214, 88, 232)(72, 216, 115, 259)(73, 217, 110, 254)(74, 218, 116, 260)(75, 219, 109, 253)(76, 220, 86, 230)(77, 221, 104, 248)(79, 223, 89, 233)(80, 224, 113, 257)(82, 226, 99, 243)(83, 227, 118, 262)(84, 228, 121, 265)(87, 231, 125, 269)(91, 235, 129, 273)(94, 238, 132, 276)(95, 239, 127, 271)(96, 240, 133, 277)(97, 241, 126, 270)(102, 246, 130, 274)(105, 249, 135, 279)(106, 250, 138, 282)(107, 251, 139, 283)(111, 255, 140, 284)(114, 258, 137, 281)(117, 261, 136, 280)(119, 263, 134, 278)(120, 264, 131, 275)(122, 266, 124, 268)(123, 267, 128, 272)(141, 285, 143, 287)(142, 286, 144, 288)(289, 433, 291, 435, 296, 440, 306, 450, 326, 470, 363, 507, 405, 549, 417, 561, 431, 575, 412, 556, 374, 518, 335, 479, 373, 517, 345, 489, 389, 533, 425, 569, 432, 576, 421, 565, 411, 555, 372, 516, 334, 478, 310, 454, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 314, 458, 342, 486, 385, 529, 422, 566, 400, 544, 429, 573, 395, 539, 352, 496, 319, 463, 351, 495, 329, 473, 367, 511, 408, 552, 430, 574, 404, 548, 428, 572, 394, 538, 350, 494, 318, 462, 302, 446, 294, 438)(295, 439, 303, 447, 320, 464, 353, 497, 397, 541, 419, 563, 381, 525, 369, 513, 410, 554, 426, 570, 390, 534, 346, 490, 316, 460, 301, 445, 315, 459, 344, 488, 384, 528, 341, 485, 383, 527, 371, 515, 333, 477, 357, 501, 322, 466, 304, 448)(297, 441, 307, 451, 328, 472, 362, 506, 325, 469, 361, 505, 393, 537, 349, 493, 379, 523, 338, 482, 312, 456, 299, 443, 311, 455, 336, 480, 375, 519, 414, 558, 402, 546, 359, 503, 391, 535, 427, 571, 409, 553, 368, 512, 330, 474, 308, 452)(305, 449, 323, 467, 358, 502, 401, 545, 424, 568, 388, 532, 365, 509, 327, 471, 364, 508, 406, 550, 420, 564, 398, 542, 355, 499, 321, 465, 354, 498, 378, 522, 416, 560, 396, 540, 370, 514, 332, 476, 309, 453, 331, 475, 360, 504, 324, 468)(313, 457, 339, 483, 380, 524, 418, 562, 407, 551, 366, 510, 387, 531, 343, 487, 386, 530, 423, 567, 403, 547, 415, 559, 377, 521, 337, 481, 376, 520, 356, 500, 399, 543, 413, 557, 392, 536, 348, 492, 317, 461, 347, 491, 382, 526, 340, 484)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 305)(9, 292)(10, 309)(11, 293)(12, 313)(13, 294)(14, 317)(15, 319)(16, 321)(17, 296)(18, 325)(19, 327)(20, 329)(21, 298)(22, 333)(23, 335)(24, 337)(25, 300)(26, 341)(27, 343)(28, 345)(29, 302)(30, 349)(31, 303)(32, 348)(33, 304)(34, 356)(35, 346)(36, 359)(37, 306)(38, 342)(39, 307)(40, 366)(41, 308)(42, 339)(43, 369)(44, 336)(45, 310)(46, 350)(47, 311)(48, 332)(49, 312)(50, 378)(51, 330)(52, 381)(53, 314)(54, 326)(55, 315)(56, 388)(57, 316)(58, 323)(59, 391)(60, 320)(61, 318)(62, 334)(63, 373)(64, 386)(65, 396)(66, 380)(67, 389)(68, 322)(69, 400)(70, 376)(71, 324)(72, 403)(73, 398)(74, 404)(75, 397)(76, 374)(77, 392)(78, 328)(79, 377)(80, 401)(81, 331)(82, 387)(83, 406)(84, 409)(85, 351)(86, 364)(87, 413)(88, 358)(89, 367)(90, 338)(91, 417)(92, 354)(93, 340)(94, 420)(95, 415)(96, 421)(97, 414)(98, 352)(99, 370)(100, 344)(101, 355)(102, 418)(103, 347)(104, 365)(105, 423)(106, 426)(107, 427)(108, 353)(109, 363)(110, 361)(111, 428)(112, 357)(113, 368)(114, 425)(115, 360)(116, 362)(117, 424)(118, 371)(119, 422)(120, 419)(121, 372)(122, 412)(123, 416)(124, 410)(125, 375)(126, 385)(127, 383)(128, 411)(129, 379)(130, 390)(131, 408)(132, 382)(133, 384)(134, 407)(135, 393)(136, 405)(137, 402)(138, 394)(139, 395)(140, 399)(141, 431)(142, 432)(143, 429)(144, 430)(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, 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 E22.1625
Graph:: bipartite
	v = 78 e = 288 f = 168
	degree seq :: [ 4^72, 48^6 ]

E22.1625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 24})
Quotient :: dipole
Aut^+ = C3 x GL(2,3) (small group id <144, 122>)
Aut   = $<288, 847>$ (small group id <288, 847>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-2)^2, Y1^6, (Y3^2 * Y1^-1)^3, Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-3 * Y3^2 * Y1^-1, Y3^5 * Y1 * Y3^-3 * Y1, Y3^5 * Y1 * Y3^-3 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 16, 160, 13, 157, 4, 148)(3, 147, 9, 153, 23, 167, 36, 180, 18, 162, 11, 155)(5, 149, 14, 158, 31, 175, 37, 181, 20, 164, 7, 151)(8, 152, 21, 165, 12, 156, 29, 173, 39, 183, 17, 161)(10, 154, 25, 169, 53, 197, 71, 215, 50, 194, 27, 171)(15, 159, 34, 178, 44, 188, 72, 216, 65, 209, 32, 176)(19, 163, 41, 185, 79, 223, 63, 207, 33, 177, 43, 187)(22, 166, 47, 191, 76, 220, 60, 204, 87, 231, 45, 189)(24, 168, 51, 195, 28, 172, 40, 184, 77, 221, 49, 193)(26, 170, 55, 199, 102, 246, 117, 261, 99, 243, 57, 201)(30, 174, 46, 190, 75, 219, 38, 182, 73, 217, 62, 206)(35, 179, 69, 213, 113, 257, 118, 262, 115, 259, 67, 211)(42, 186, 81, 225, 127, 271, 110, 254, 125, 269, 83, 227)(48, 192, 90, 234, 130, 274, 108, 252, 132, 276, 89, 233)(52, 196, 96, 240, 122, 266, 78, 222, 123, 267, 94, 238)(54, 198, 100, 244, 58, 202, 93, 237, 86, 230, 98, 242)(56, 200, 82, 226, 120, 264, 143, 287, 140, 284, 105, 249)(59, 203, 95, 239, 80, 224, 92, 236, 84, 228, 66, 210)(61, 205, 109, 253, 121, 265, 74, 218, 119, 263, 104, 248)(64, 208, 111, 255, 88, 232, 85, 229, 68, 212, 112, 256)(70, 214, 91, 235, 124, 268, 144, 288, 136, 280, 97, 241)(101, 245, 138, 282, 128, 272, 135, 279, 116, 260, 137, 281)(103, 247, 141, 285, 106, 250, 129, 273, 131, 275, 139, 283)(107, 251, 114, 258, 133, 277, 134, 278, 126, 270, 142, 286)(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, 300)(5, 289)(6, 305)(7, 307)(8, 290)(9, 292)(10, 314)(11, 316)(12, 318)(13, 319)(14, 320)(15, 293)(16, 324)(17, 326)(18, 294)(19, 330)(20, 332)(21, 333)(22, 296)(23, 337)(24, 297)(25, 299)(26, 344)(27, 346)(28, 347)(29, 301)(30, 349)(31, 351)(32, 352)(33, 302)(34, 355)(35, 303)(36, 359)(37, 304)(38, 362)(39, 364)(40, 306)(41, 308)(42, 370)(43, 372)(44, 373)(45, 374)(46, 309)(47, 377)(48, 310)(49, 380)(50, 311)(51, 382)(52, 312)(53, 386)(54, 313)(55, 315)(56, 392)(57, 394)(58, 335)(59, 395)(60, 317)(61, 393)(62, 356)(63, 398)(64, 391)(65, 401)(66, 321)(67, 389)(68, 322)(69, 385)(70, 323)(71, 405)(72, 325)(73, 327)(74, 408)(75, 399)(76, 388)(77, 410)(78, 328)(79, 383)(80, 329)(81, 331)(82, 345)(83, 404)(84, 365)(85, 417)(86, 416)(87, 418)(88, 334)(89, 414)(90, 358)(91, 336)(92, 422)(93, 338)(94, 419)(95, 339)(96, 424)(97, 340)(98, 375)(99, 341)(100, 425)(101, 342)(102, 427)(103, 343)(104, 430)(105, 415)(106, 384)(107, 407)(108, 348)(109, 350)(110, 428)(111, 353)(112, 361)(113, 423)(114, 354)(115, 412)(116, 357)(117, 431)(118, 360)(119, 363)(120, 371)(121, 421)(122, 429)(123, 379)(124, 366)(125, 367)(126, 368)(127, 426)(128, 369)(129, 387)(130, 402)(131, 376)(132, 432)(133, 378)(134, 397)(135, 381)(136, 396)(137, 413)(138, 403)(139, 411)(140, 390)(141, 400)(142, 420)(143, 409)(144, 406)(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, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E22.1624
Graph:: simple bipartite
	v = 168 e = 288 f = 78
	degree seq :: [ 2^144, 12^24 ]

E22.1626 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y1 * Y2 * Y3)^4, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 170, 2, 169)(3, 175, 7, 171)(4, 177, 9, 172)(5, 179, 11, 173)(6, 181, 13, 174)(8, 185, 17, 176)(10, 189, 21, 178)(12, 192, 24, 180)(14, 196, 28, 182)(15, 197, 29, 183)(16, 199, 31, 184)(18, 203, 35, 186)(19, 204, 36, 187)(20, 206, 38, 188)(22, 210, 42, 190)(23, 212, 44, 191)(25, 216, 48, 193)(26, 217, 49, 194)(27, 219, 51, 195)(30, 215, 47, 198)(32, 228, 60, 200)(33, 229, 61, 201)(34, 211, 43, 202)(37, 236, 68, 205)(39, 221, 53, 207)(40, 220, 52, 208)(41, 240, 72, 209)(45, 247, 79, 213)(46, 248, 80, 214)(50, 255, 87, 218)(54, 259, 91, 222)(55, 261, 93, 223)(56, 262, 94, 224)(57, 264, 96, 225)(58, 265, 97, 226)(59, 267, 99, 227)(62, 260, 92, 230)(63, 269, 101, 231)(64, 268, 100, 232)(65, 275, 107, 233)(66, 277, 109, 234)(67, 278, 110, 235)(69, 281, 113, 237)(70, 282, 114, 238)(71, 280, 112, 239)(73, 249, 81, 241)(74, 285, 117, 242)(75, 286, 118, 243)(76, 288, 120, 244)(77, 289, 121, 245)(78, 291, 123, 246)(82, 293, 125, 250)(83, 292, 124, 251)(84, 299, 131, 252)(85, 301, 133, 253)(86, 302, 134, 254)(88, 305, 137, 256)(89, 306, 138, 257)(90, 304, 136, 258)(95, 295, 127, 263)(98, 308, 140, 266)(102, 294, 126, 270)(103, 287, 119, 271)(104, 303, 135, 272)(105, 300, 132, 273)(106, 307, 139, 274)(108, 297, 129, 276)(111, 296, 128, 279)(115, 298, 130, 283)(116, 290, 122, 284)(141, 328, 160, 309)(142, 331, 163, 310)(143, 324, 156, 311)(144, 330, 162, 312)(145, 322, 154, 313)(146, 326, 158, 314)(147, 325, 157, 315)(148, 332, 164, 316)(149, 320, 152, 317)(150, 333, 165, 318)(151, 323, 155, 319)(153, 334, 166, 321)(159, 335, 167, 327)(161, 336, 168, 329)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 32)(17, 33)(20, 39)(21, 40)(23, 45)(24, 46)(27, 52)(28, 53)(29, 55)(30, 57)(31, 58)(34, 63)(35, 64)(36, 66)(37, 69)(38, 70)(41, 73)(42, 74)(43, 76)(44, 77)(47, 82)(48, 83)(49, 85)(50, 88)(51, 89)(54, 92)(56, 95)(59, 100)(60, 101)(61, 103)(62, 105)(65, 108)(67, 111)(68, 102)(71, 115)(72, 116)(75, 119)(78, 124)(79, 125)(80, 127)(81, 129)(84, 132)(86, 135)(87, 126)(90, 139)(91, 140)(93, 134)(94, 118)(96, 142)(97, 133)(98, 144)(99, 145)(104, 147)(106, 148)(107, 149)(109, 121)(110, 117)(112, 146)(113, 143)(114, 151)(120, 153)(122, 155)(123, 156)(128, 158)(130, 159)(131, 160)(136, 157)(137, 154)(138, 162)(141, 163)(150, 164)(152, 166)(161, 167)(165, 168)(169, 172)(170, 174)(171, 176)(173, 180)(175, 184)(177, 188)(178, 186)(179, 191)(181, 195)(182, 193)(183, 198)(185, 202)(187, 205)(189, 209)(190, 211)(192, 215)(194, 218)(196, 222)(197, 224)(199, 227)(200, 225)(201, 230)(203, 233)(204, 235)(206, 223)(207, 237)(208, 239)(210, 243)(212, 246)(213, 244)(214, 249)(216, 252)(217, 254)(219, 242)(220, 256)(221, 258)(226, 266)(228, 270)(229, 272)(231, 273)(232, 274)(234, 275)(236, 280)(238, 263)(240, 271)(241, 283)(245, 290)(247, 294)(248, 296)(250, 297)(251, 298)(253, 299)(255, 304)(257, 287)(259, 295)(260, 307)(261, 289)(262, 309)(264, 311)(265, 285)(267, 302)(268, 312)(269, 314)(276, 316)(277, 313)(278, 291)(279, 317)(281, 318)(282, 306)(284, 315)(286, 320)(288, 322)(292, 323)(293, 325)(300, 327)(301, 324)(303, 328)(305, 329)(308, 326)(310, 332)(319, 333)(321, 335)(330, 336)(331, 334)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1628
Transitivity :: VT+ AT
Graph:: simple
	v = 84 e = 168 f = 42
	degree seq :: [ 4^84 ]

E22.1627 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^21 ]
Map:: polytopal non-degenerate
	R = (1, 170, 2, 169)(3, 175, 7, 171)(4, 177, 9, 172)(5, 178, 10, 173)(6, 180, 12, 174)(8, 183, 15, 176)(11, 188, 20, 179)(13, 191, 23, 181)(14, 193, 25, 182)(16, 196, 28, 184)(17, 198, 30, 185)(18, 199, 31, 186)(19, 201, 33, 187)(21, 204, 36, 189)(22, 206, 38, 190)(24, 203, 35, 192)(26, 205, 37, 194)(27, 200, 32, 195)(29, 202, 34, 197)(39, 217, 49, 207)(40, 218, 50, 208)(41, 219, 51, 209)(42, 220, 52, 210)(43, 216, 48, 211)(44, 221, 53, 212)(45, 222, 54, 213)(46, 223, 55, 214)(47, 224, 56, 215)(57, 233, 65, 225)(58, 234, 66, 226)(59, 235, 67, 227)(60, 236, 68, 228)(61, 237, 69, 229)(62, 238, 70, 230)(63, 239, 71, 231)(64, 240, 72, 232)(73, 281, 113, 241)(74, 283, 115, 242)(75, 285, 117, 243)(76, 287, 119, 244)(77, 289, 121, 245)(78, 291, 123, 246)(79, 293, 125, 247)(80, 295, 127, 248)(81, 299, 131, 249)(82, 300, 132, 250)(83, 303, 135, 251)(84, 307, 139, 252)(85, 309, 141, 253)(86, 311, 143, 254)(87, 313, 145, 255)(88, 317, 149, 256)(89, 297, 129, 257)(90, 320, 152, 258)(91, 322, 154, 259)(92, 314, 146, 260)(93, 315, 147, 261)(94, 304, 136, 262)(95, 305, 137, 263)(96, 328, 160, 264)(97, 330, 162, 265)(98, 332, 164, 266)(99, 334, 166, 267)(100, 329, 161, 268)(101, 335, 167, 269)(102, 333, 165, 270)(103, 331, 163, 271)(104, 296, 128, 272)(105, 316, 148, 273)(106, 323, 155, 274)(107, 321, 153, 275)(108, 318, 150, 276)(109, 306, 138, 277)(110, 312, 144, 278)(111, 310, 142, 279)(112, 308, 140, 280)(114, 298, 130, 282)(116, 325, 157, 284)(118, 324, 156, 286)(120, 301, 133, 288)(122, 294, 126, 290)(124, 302, 134, 292)(151, 327, 159, 319)(158, 336, 168, 326)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 13)(9, 16)(10, 18)(12, 21)(14, 24)(15, 26)(17, 29)(19, 32)(20, 34)(22, 37)(23, 39)(25, 41)(27, 43)(28, 42)(30, 40)(31, 44)(33, 46)(35, 48)(36, 47)(38, 45)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 82)(70, 104)(71, 77)(72, 89)(78, 117)(79, 113)(80, 128)(81, 132)(83, 136)(84, 125)(85, 137)(86, 123)(87, 146)(88, 131)(90, 147)(91, 127)(92, 129)(93, 121)(94, 115)(95, 119)(96, 141)(97, 139)(98, 143)(99, 135)(100, 152)(101, 149)(102, 154)(103, 145)(105, 164)(106, 162)(107, 166)(108, 160)(109, 165)(110, 167)(111, 163)(112, 161)(114, 153)(116, 155)(118, 150)(120, 148)(122, 138)(124, 130)(126, 156)(133, 158)(134, 142)(140, 168)(144, 151)(157, 159)(169, 172)(170, 174)(171, 176)(173, 179)(175, 182)(177, 185)(178, 187)(180, 190)(181, 192)(183, 195)(184, 197)(186, 200)(188, 203)(189, 205)(191, 208)(193, 210)(194, 211)(196, 209)(198, 207)(199, 213)(201, 215)(202, 216)(204, 214)(206, 212)(217, 226)(218, 228)(219, 227)(220, 225)(221, 230)(222, 232)(223, 231)(224, 229)(233, 242)(234, 244)(235, 243)(236, 241)(237, 257)(238, 245)(239, 272)(240, 250)(246, 283)(247, 287)(248, 297)(249, 289)(251, 305)(252, 291)(253, 304)(254, 293)(255, 315)(256, 295)(258, 314)(259, 299)(260, 296)(261, 300)(262, 285)(263, 281)(264, 311)(265, 303)(266, 309)(267, 307)(268, 322)(269, 313)(270, 320)(271, 317)(273, 334)(274, 328)(275, 332)(276, 330)(277, 331)(278, 329)(279, 333)(280, 335)(282, 318)(284, 316)(286, 321)(288, 323)(290, 312)(292, 325)(294, 301)(298, 327)(302, 308)(306, 319)(310, 336)(324, 326)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1629
Transitivity :: VT+ AT
Graph:: simple
	v = 84 e = 168 f = 42
	degree seq :: [ 4^84 ]

E22.1628 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2)^3, Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y2 * Y3 * Y1^-2)^2, (Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 170, 2, 174, 6, 173, 5, 169)(3, 177, 9, 193, 25, 179, 11, 171)(4, 180, 12, 200, 32, 182, 14, 172)(7, 187, 19, 217, 49, 189, 21, 175)(8, 190, 22, 224, 56, 192, 24, 176)(10, 196, 28, 227, 59, 191, 23, 178)(13, 203, 35, 247, 79, 204, 36, 181)(15, 206, 38, 251, 83, 207, 39, 183)(16, 208, 40, 236, 68, 210, 42, 184)(17, 211, 43, 257, 89, 213, 45, 185)(18, 214, 46, 263, 95, 216, 48, 186)(20, 220, 52, 265, 97, 215, 47, 188)(26, 231, 63, 262, 94, 233, 65, 194)(27, 234, 66, 259, 91, 235, 67, 195)(29, 238, 70, 261, 93, 239, 71, 197)(30, 240, 72, 258, 90, 241, 73, 198)(31, 242, 74, 201, 33, 243, 75, 199)(34, 245, 77, 266, 98, 246, 78, 202)(37, 249, 81, 264, 96, 250, 82, 205)(41, 212, 44, 260, 92, 230, 62, 209)(50, 268, 100, 254, 86, 270, 102, 218)(51, 271, 103, 253, 85, 272, 104, 219)(53, 274, 106, 248, 80, 275, 107, 221)(54, 276, 108, 252, 84, 277, 109, 222)(55, 278, 110, 225, 57, 279, 111, 223)(58, 281, 113, 256, 88, 282, 114, 226)(60, 283, 115, 255, 87, 284, 116, 228)(61, 280, 112, 244, 76, 267, 99, 229)(64, 273, 105, 299, 131, 285, 117, 232)(69, 269, 101, 300, 132, 293, 125, 237)(118, 313, 145, 296, 128, 314, 146, 286)(119, 315, 147, 295, 127, 316, 148, 287)(120, 317, 149, 294, 126, 318, 150, 288)(121, 319, 151, 290, 122, 320, 152, 289)(123, 321, 153, 298, 130, 322, 154, 291)(124, 323, 155, 297, 129, 324, 156, 292)(133, 325, 157, 310, 142, 326, 158, 301)(134, 327, 159, 309, 141, 328, 160, 302)(135, 329, 161, 308, 140, 330, 162, 303)(136, 331, 163, 305, 137, 332, 164, 304)(138, 333, 165, 312, 144, 334, 166, 306)(139, 335, 167, 311, 143, 336, 168, 307)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 33)(14, 27)(16, 41)(18, 47)(19, 50)(20, 53)(21, 54)(22, 57)(24, 51)(25, 61)(28, 68)(31, 46)(32, 52)(34, 71)(35, 80)(36, 69)(37, 64)(38, 84)(39, 86)(40, 55)(42, 85)(43, 90)(44, 93)(45, 94)(48, 91)(49, 99)(56, 92)(58, 107)(59, 105)(60, 101)(62, 117)(63, 118)(65, 120)(66, 122)(67, 119)(70, 96)(72, 126)(73, 128)(74, 121)(75, 127)(76, 89)(77, 124)(78, 130)(79, 95)(81, 129)(82, 123)(83, 112)(87, 106)(88, 125)(97, 132)(98, 131)(100, 133)(102, 135)(103, 137)(104, 134)(108, 140)(109, 142)(110, 136)(111, 141)(113, 139)(114, 144)(115, 143)(116, 138)(145, 166)(146, 168)(147, 160)(148, 164)(149, 167)(150, 165)(151, 159)(152, 163)(153, 161)(154, 158)(155, 162)(156, 157)(169, 172)(170, 176)(171, 178)(173, 184)(174, 186)(175, 188)(177, 195)(179, 199)(180, 202)(181, 197)(182, 205)(183, 203)(185, 212)(187, 219)(189, 223)(190, 226)(191, 221)(192, 228)(193, 230)(194, 232)(196, 237)(198, 238)(200, 244)(201, 213)(204, 217)(206, 253)(207, 225)(208, 255)(209, 248)(210, 256)(211, 259)(214, 264)(215, 261)(216, 266)(218, 269)(220, 273)(222, 274)(224, 280)(227, 257)(229, 263)(231, 287)(233, 289)(234, 291)(235, 292)(236, 267)(239, 262)(240, 295)(241, 290)(242, 297)(243, 298)(245, 286)(246, 294)(247, 285)(249, 288)(250, 296)(251, 265)(252, 293)(254, 275)(258, 299)(260, 300)(268, 302)(270, 304)(271, 306)(272, 307)(276, 309)(277, 305)(278, 311)(279, 312)(281, 301)(282, 308)(283, 303)(284, 310)(313, 332)(314, 327)(315, 325)(316, 329)(317, 331)(318, 328)(319, 330)(320, 326)(321, 334)(322, 335)(323, 336)(324, 333)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1626
Transitivity :: VT+ AT
Graph:: simple
	v = 42 e = 168 f = 84
	degree seq :: [ 8^42 ]

E22.1629 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y2 * Y1^-1 * Y3)^2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * 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 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 170, 2, 174, 6, 173, 5, 169)(3, 177, 9, 185, 17, 179, 11, 171)(4, 180, 12, 184, 16, 181, 13, 172)(7, 186, 18, 183, 15, 188, 20, 175)(8, 189, 21, 182, 14, 190, 22, 176)(10, 193, 25, 196, 28, 187, 19, 178)(23, 201, 33, 195, 27, 202, 34, 191)(24, 203, 35, 194, 26, 204, 36, 192)(29, 205, 37, 200, 32, 206, 38, 197)(30, 207, 39, 199, 31, 208, 40, 198)(41, 217, 49, 212, 44, 218, 50, 209)(42, 219, 51, 211, 43, 220, 52, 210)(45, 221, 53, 216, 48, 222, 54, 213)(46, 223, 55, 215, 47, 224, 56, 214)(57, 233, 65, 228, 60, 234, 66, 225)(58, 235, 67, 227, 59, 236, 68, 226)(61, 237, 69, 232, 64, 238, 70, 229)(62, 239, 71, 231, 63, 240, 72, 230)(73, 289, 121, 244, 76, 292, 124, 241)(74, 290, 122, 243, 75, 291, 123, 242)(77, 293, 125, 250, 82, 294, 126, 245)(78, 295, 127, 249, 81, 298, 130, 246)(79, 297, 129, 257, 89, 299, 131, 247)(80, 296, 128, 256, 88, 300, 132, 248)(83, 301, 133, 253, 85, 303, 135, 251)(84, 302, 134, 264, 96, 304, 136, 252)(86, 305, 137, 255, 87, 306, 138, 254)(90, 307, 139, 260, 92, 309, 141, 258)(91, 308, 140, 263, 95, 310, 142, 259)(93, 311, 143, 262, 94, 312, 144, 261)(97, 313, 145, 266, 98, 314, 146, 265)(99, 315, 147, 268, 100, 316, 148, 267)(101, 317, 149, 270, 102, 318, 150, 269)(103, 319, 151, 272, 104, 320, 152, 271)(105, 321, 153, 274, 106, 322, 154, 273)(107, 323, 155, 276, 108, 324, 156, 275)(109, 325, 157, 278, 110, 326, 158, 277)(111, 327, 159, 280, 112, 328, 160, 279)(113, 329, 161, 282, 114, 330, 162, 281)(115, 331, 163, 284, 116, 332, 164, 283)(117, 333, 165, 286, 118, 334, 166, 285)(119, 335, 167, 288, 120, 336, 168, 287)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 27)(13, 24)(15, 25)(17, 28)(18, 29)(20, 31)(21, 32)(22, 30)(33, 41)(34, 43)(35, 44)(36, 42)(37, 45)(38, 47)(39, 48)(40, 46)(49, 57)(50, 59)(51, 60)(52, 58)(53, 61)(54, 63)(55, 64)(56, 62)(65, 73)(66, 75)(67, 76)(68, 74)(69, 89)(70, 88)(71, 79)(72, 80)(77, 122)(78, 128)(81, 131)(82, 121)(83, 134)(84, 123)(85, 126)(86, 125)(87, 136)(90, 140)(91, 132)(92, 130)(93, 127)(94, 142)(95, 129)(96, 124)(97, 138)(98, 135)(99, 133)(100, 137)(101, 144)(102, 141)(103, 139)(104, 143)(105, 148)(106, 146)(107, 145)(108, 147)(109, 152)(110, 150)(111, 149)(112, 151)(113, 156)(114, 154)(115, 153)(116, 155)(117, 160)(118, 158)(119, 157)(120, 159)(161, 166)(162, 168)(163, 165)(164, 167)(169, 172)(170, 176)(171, 178)(173, 183)(174, 185)(175, 187)(177, 192)(179, 195)(180, 194)(181, 191)(182, 193)(184, 196)(186, 198)(188, 200)(189, 199)(190, 197)(201, 210)(202, 212)(203, 211)(204, 209)(205, 214)(206, 216)(207, 215)(208, 213)(217, 226)(218, 228)(219, 227)(220, 225)(221, 230)(222, 232)(223, 231)(224, 229)(233, 242)(234, 244)(235, 243)(236, 241)(237, 248)(238, 247)(239, 256)(240, 257)(245, 292)(246, 297)(249, 300)(250, 291)(251, 293)(252, 289)(253, 304)(254, 302)(255, 294)(258, 295)(259, 299)(260, 310)(261, 308)(262, 298)(263, 296)(264, 290)(265, 301)(266, 305)(267, 306)(268, 303)(269, 307)(270, 311)(271, 312)(272, 309)(273, 313)(274, 315)(275, 316)(276, 314)(277, 317)(278, 319)(279, 320)(280, 318)(281, 321)(282, 323)(283, 324)(284, 322)(285, 325)(286, 327)(287, 328)(288, 326)(329, 335)(330, 333)(331, 336)(332, 334)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1627
Transitivity :: VT+ AT
Graph::
	v = 42 e = 168 f = 84
	degree seq :: [ 8^42 ]

E22.1630 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, (Y3 * Y2 * Y1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 169, 4, 172)(2, 170, 6, 174)(3, 171, 8, 176)(5, 173, 12, 180)(7, 175, 15, 183)(9, 177, 19, 187)(10, 178, 21, 189)(11, 179, 22, 190)(13, 181, 26, 194)(14, 182, 28, 196)(16, 184, 32, 200)(17, 185, 34, 202)(18, 186, 36, 204)(20, 188, 39, 207)(23, 191, 45, 213)(24, 192, 47, 215)(25, 193, 49, 217)(27, 195, 52, 220)(29, 197, 56, 224)(30, 198, 58, 226)(31, 199, 60, 228)(33, 201, 63, 231)(35, 203, 65, 233)(37, 205, 67, 235)(38, 206, 69, 237)(40, 208, 72, 240)(41, 209, 73, 241)(42, 210, 75, 243)(43, 211, 77, 245)(44, 212, 79, 247)(46, 214, 82, 250)(48, 216, 84, 252)(50, 218, 86, 254)(51, 219, 88, 256)(53, 221, 91, 259)(54, 222, 92, 260)(55, 223, 94, 262)(57, 225, 96, 264)(59, 227, 98, 266)(61, 229, 99, 267)(62, 230, 101, 269)(64, 232, 103, 271)(66, 234, 106, 274)(68, 236, 109, 277)(70, 238, 112, 280)(71, 239, 113, 281)(74, 242, 118, 286)(76, 244, 120, 288)(78, 246, 122, 290)(80, 248, 123, 291)(81, 249, 125, 293)(83, 251, 127, 295)(85, 253, 130, 298)(87, 255, 133, 301)(89, 257, 136, 304)(90, 258, 137, 305)(93, 261, 141, 309)(95, 263, 142, 310)(97, 265, 143, 311)(100, 268, 145, 313)(102, 270, 147, 315)(104, 272, 150, 318)(105, 273, 151, 319)(107, 275, 139, 307)(108, 276, 134, 302)(110, 278, 132, 300)(111, 279, 146, 314)(114, 282, 138, 306)(115, 283, 131, 299)(116, 284, 149, 317)(117, 285, 152, 320)(119, 287, 153, 321)(121, 289, 154, 322)(124, 292, 156, 324)(126, 294, 158, 326)(128, 296, 161, 329)(129, 297, 162, 330)(135, 303, 157, 325)(140, 308, 160, 328)(144, 312, 165, 333)(148, 316, 164, 332)(155, 323, 168, 336)(159, 327, 167, 335)(163, 331, 166, 334)(337, 338)(339, 343)(340, 345)(341, 347)(342, 349)(344, 352)(346, 356)(348, 359)(350, 363)(351, 365)(353, 369)(354, 371)(355, 373)(357, 376)(358, 378)(360, 382)(361, 384)(362, 386)(364, 389)(366, 393)(367, 395)(368, 397)(370, 400)(372, 402)(374, 404)(375, 399)(377, 392)(379, 412)(380, 414)(381, 416)(383, 419)(385, 421)(387, 423)(388, 418)(390, 411)(391, 429)(394, 433)(396, 425)(398, 436)(401, 440)(403, 443)(405, 446)(406, 415)(407, 431)(408, 450)(409, 452)(410, 453)(413, 457)(417, 460)(420, 464)(422, 467)(424, 470)(426, 455)(427, 474)(428, 476)(430, 462)(432, 456)(434, 465)(435, 468)(437, 475)(438, 454)(439, 484)(441, 458)(442, 469)(444, 459)(445, 466)(447, 486)(448, 473)(449, 472)(451, 461)(463, 495)(471, 497)(477, 491)(478, 496)(479, 500)(480, 488)(481, 494)(482, 498)(483, 492)(485, 489)(487, 493)(490, 503)(499, 504)(501, 502)(505, 507)(506, 509)(508, 514)(510, 518)(511, 515)(512, 521)(513, 522)(516, 528)(517, 529)(519, 534)(520, 535)(523, 542)(524, 539)(525, 545)(526, 547)(527, 548)(530, 555)(531, 552)(532, 558)(533, 559)(536, 566)(537, 563)(538, 554)(540, 553)(541, 551)(543, 574)(544, 575)(546, 578)(549, 585)(550, 582)(556, 593)(557, 594)(560, 599)(561, 597)(562, 584)(564, 598)(565, 581)(567, 606)(568, 591)(569, 609)(570, 600)(571, 612)(572, 587)(573, 615)(576, 619)(577, 611)(579, 623)(580, 621)(583, 622)(586, 630)(588, 633)(589, 624)(590, 636)(592, 639)(595, 643)(596, 635)(601, 628)(602, 648)(603, 644)(604, 625)(605, 650)(607, 653)(608, 645)(610, 649)(613, 640)(614, 647)(616, 637)(617, 651)(618, 655)(620, 627)(626, 659)(629, 661)(631, 664)(632, 656)(634, 660)(638, 658)(641, 662)(642, 666)(646, 667)(652, 669)(654, 668)(657, 670)(663, 672)(665, 671)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1636
Graph:: simple bipartite
	v = 252 e = 336 f = 42
	degree seq :: [ 2^168, 4^84 ]

E22.1631 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^21 ]
Map:: polytopal
	R = (1, 169, 4, 172)(2, 170, 6, 174)(3, 171, 7, 175)(5, 173, 10, 178)(8, 176, 16, 184)(9, 177, 17, 185)(11, 179, 21, 189)(12, 180, 22, 190)(13, 181, 24, 192)(14, 182, 25, 193)(15, 183, 26, 194)(18, 186, 32, 200)(19, 187, 33, 201)(20, 188, 34, 202)(23, 191, 39, 207)(27, 195, 40, 208)(28, 196, 41, 209)(29, 197, 42, 210)(30, 198, 43, 211)(31, 199, 44, 212)(35, 203, 45, 213)(36, 204, 46, 214)(37, 205, 47, 215)(38, 206, 48, 216)(49, 217, 57, 225)(50, 218, 58, 226)(51, 219, 59, 227)(52, 220, 60, 228)(53, 221, 61, 229)(54, 222, 62, 230)(55, 223, 63, 231)(56, 224, 64, 232)(65, 233, 73, 241)(66, 234, 74, 242)(67, 235, 75, 243)(68, 236, 76, 244)(69, 237, 100, 268)(70, 238, 77, 245)(71, 239, 92, 260)(72, 240, 79, 247)(78, 246, 114, 282)(80, 248, 127, 295)(81, 249, 121, 289)(82, 250, 116, 284)(83, 251, 117, 285)(84, 252, 135, 303)(85, 253, 124, 292)(86, 254, 122, 290)(87, 255, 142, 310)(88, 256, 130, 298)(89, 257, 128, 296)(90, 258, 143, 311)(91, 259, 131, 299)(93, 261, 113, 281)(94, 262, 136, 304)(95, 263, 125, 293)(96, 264, 157, 325)(97, 265, 138, 306)(98, 266, 156, 324)(99, 267, 139, 307)(101, 269, 151, 319)(102, 270, 145, 313)(103, 271, 150, 318)(104, 272, 146, 314)(105, 273, 165, 333)(106, 274, 160, 328)(107, 275, 164, 332)(108, 276, 161, 329)(109, 277, 167, 335)(110, 278, 162, 330)(111, 279, 163, 331)(112, 280, 166, 334)(115, 283, 153, 321)(118, 286, 147, 315)(119, 287, 148, 316)(120, 288, 152, 320)(123, 291, 140, 308)(126, 294, 132, 300)(129, 297, 158, 326)(133, 301, 134, 302)(137, 305, 149, 317)(141, 309, 154, 322)(144, 312, 155, 323)(159, 327, 168, 336)(337, 338)(339, 341)(340, 344)(342, 347)(343, 349)(345, 351)(346, 354)(348, 356)(350, 359)(352, 363)(353, 365)(355, 367)(357, 371)(358, 373)(360, 374)(361, 372)(362, 375)(364, 369)(366, 368)(370, 380)(376, 385)(377, 387)(378, 388)(379, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 401)(394, 403)(395, 404)(396, 402)(397, 405)(398, 407)(399, 408)(400, 406)(409, 449)(410, 452)(411, 453)(412, 450)(413, 457)(414, 460)(415, 463)(416, 466)(417, 467)(418, 461)(419, 471)(420, 474)(421, 475)(422, 478)(423, 481)(424, 482)(425, 479)(426, 486)(427, 487)(428, 458)(429, 472)(430, 492)(431, 493)(432, 496)(433, 497)(434, 500)(435, 501)(436, 464)(437, 498)(438, 502)(439, 499)(440, 503)(441, 483)(442, 488)(443, 484)(444, 489)(445, 476)(446, 494)(447, 477)(448, 495)(451, 468)(454, 485)(455, 469)(456, 480)(459, 491)(462, 504)(465, 473)(470, 490)(505, 507)(506, 509)(508, 513)(510, 516)(511, 518)(512, 519)(514, 523)(515, 524)(517, 527)(520, 532)(521, 534)(522, 535)(525, 540)(526, 542)(528, 541)(529, 539)(530, 538)(531, 537)(533, 536)(543, 548)(544, 554)(545, 556)(546, 555)(547, 553)(549, 558)(550, 560)(551, 559)(552, 557)(561, 570)(562, 572)(563, 571)(564, 569)(565, 574)(566, 576)(567, 575)(568, 573)(577, 618)(578, 621)(579, 620)(580, 617)(581, 626)(582, 629)(583, 632)(584, 635)(585, 634)(586, 628)(587, 640)(588, 643)(589, 642)(590, 647)(591, 650)(592, 649)(593, 646)(594, 655)(595, 654)(596, 625)(597, 639)(598, 661)(599, 660)(600, 665)(601, 664)(602, 669)(603, 668)(604, 631)(605, 670)(606, 666)(607, 671)(608, 667)(609, 656)(610, 651)(611, 657)(612, 652)(613, 662)(614, 644)(615, 663)(616, 645)(619, 653)(622, 636)(623, 648)(624, 637)(627, 630)(633, 638)(641, 658)(659, 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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1637
Graph:: simple bipartite
	v = 252 e = 336 f = 42
	degree seq :: [ 2^168, 4^84 ]

E22.1632 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3 * Y1 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y1 * Y3)^2, Y3 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 169, 4, 172, 14, 182, 5, 173)(2, 170, 7, 175, 22, 190, 8, 176)(3, 171, 10, 178, 28, 196, 11, 179)(6, 174, 18, 186, 46, 214, 19, 187)(9, 177, 25, 193, 62, 230, 26, 194)(12, 180, 31, 199, 73, 241, 32, 200)(13, 181, 34, 202, 47, 215, 35, 203)(15, 183, 39, 207, 61, 229, 40, 208)(16, 184, 41, 209, 87, 255, 42, 210)(17, 185, 43, 211, 90, 258, 44, 212)(20, 188, 49, 217, 101, 269, 50, 218)(21, 189, 52, 220, 29, 197, 53, 221)(23, 191, 57, 225, 89, 257, 58, 226)(24, 192, 59, 227, 115, 283, 60, 228)(27, 195, 64, 232, 91, 259, 65, 233)(30, 198, 69, 237, 118, 286, 70, 238)(33, 201, 55, 223, 110, 278, 76, 244)(36, 204, 68, 236, 95, 263, 80, 248)(37, 205, 82, 250, 104, 272, 51, 219)(38, 206, 81, 249, 117, 285, 66, 234)(45, 213, 92, 260, 63, 231, 93, 261)(48, 216, 97, 265, 132, 300, 98, 266)(54, 222, 96, 264, 67, 235, 108, 276)(56, 224, 109, 277, 131, 299, 94, 262)(71, 239, 119, 287, 84, 252, 120, 288)(72, 240, 121, 289, 78, 246, 122, 290)(74, 242, 123, 291, 83, 251, 124, 292)(75, 243, 125, 293, 85, 253, 126, 294)(77, 245, 127, 295, 88, 256, 128, 296)(79, 247, 129, 297, 86, 254, 130, 298)(99, 267, 133, 301, 112, 280, 134, 302)(100, 268, 135, 303, 106, 274, 136, 304)(102, 270, 137, 305, 111, 279, 138, 306)(103, 271, 139, 307, 113, 281, 140, 308)(105, 273, 141, 309, 116, 284, 142, 310)(107, 275, 143, 311, 114, 282, 144, 312)(145, 313, 163, 331, 153, 321, 167, 335)(146, 314, 166, 334, 150, 318, 160, 328)(147, 315, 161, 329, 152, 320, 168, 336)(148, 316, 158, 326, 154, 322, 162, 330)(149, 317, 164, 332, 156, 324, 159, 327)(151, 319, 165, 333, 155, 323, 157, 325)(337, 338)(339, 345)(340, 348)(341, 351)(342, 353)(343, 356)(344, 359)(346, 360)(347, 365)(349, 369)(350, 372)(352, 354)(355, 383)(357, 387)(358, 390)(361, 384)(362, 399)(363, 392)(364, 402)(366, 379)(367, 407)(368, 410)(370, 411)(371, 414)(373, 417)(374, 381)(375, 419)(376, 420)(377, 421)(378, 408)(380, 427)(382, 430)(385, 435)(386, 438)(388, 439)(389, 442)(391, 445)(393, 447)(394, 448)(395, 449)(396, 436)(397, 432)(398, 440)(400, 452)(401, 443)(403, 431)(404, 425)(405, 441)(406, 450)(409, 444)(412, 426)(413, 433)(415, 429)(416, 437)(418, 451)(422, 434)(423, 446)(424, 428)(453, 468)(454, 467)(455, 481)(456, 483)(457, 484)(458, 486)(459, 488)(460, 489)(461, 490)(462, 482)(463, 492)(464, 487)(465, 485)(466, 491)(469, 493)(470, 495)(471, 496)(472, 498)(473, 500)(474, 501)(475, 502)(476, 494)(477, 504)(478, 499)(479, 497)(480, 503)(505, 507)(506, 510)(508, 517)(509, 520)(511, 525)(512, 528)(513, 521)(514, 531)(515, 534)(516, 530)(518, 541)(519, 542)(522, 549)(523, 552)(524, 548)(526, 559)(527, 560)(529, 565)(532, 571)(533, 572)(535, 576)(536, 579)(537, 567)(538, 581)(539, 583)(540, 580)(543, 582)(544, 589)(545, 590)(546, 592)(547, 593)(550, 599)(551, 600)(553, 604)(554, 607)(555, 595)(556, 609)(557, 611)(558, 608)(561, 610)(562, 617)(563, 618)(564, 620)(566, 613)(568, 603)(569, 615)(570, 598)(573, 606)(574, 616)(575, 596)(577, 621)(578, 601)(584, 619)(585, 594)(586, 622)(587, 597)(588, 602)(591, 612)(605, 635)(614, 636)(623, 650)(624, 652)(625, 653)(626, 655)(627, 654)(628, 658)(629, 659)(630, 660)(631, 649)(632, 656)(633, 651)(634, 657)(637, 662)(638, 664)(639, 665)(640, 667)(641, 666)(642, 670)(643, 671)(644, 672)(645, 661)(646, 668)(647, 663)(648, 669)
	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) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1634
Graph:: simple bipartite
	v = 210 e = 336 f = 84
	degree seq :: [ 2^168, 8^42 ]

E22.1633 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * 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 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 169, 4, 172, 13, 181, 5, 173)(2, 170, 7, 175, 20, 188, 8, 176)(3, 171, 9, 177, 23, 191, 10, 178)(6, 174, 16, 184, 28, 196, 17, 185)(11, 179, 24, 192, 15, 183, 25, 193)(12, 180, 26, 194, 14, 182, 27, 195)(18, 186, 29, 197, 22, 190, 30, 198)(19, 187, 31, 199, 21, 189, 32, 200)(33, 201, 41, 209, 36, 204, 42, 210)(34, 202, 43, 211, 35, 203, 44, 212)(37, 205, 45, 213, 40, 208, 46, 214)(38, 206, 47, 215, 39, 207, 48, 216)(49, 217, 57, 225, 52, 220, 58, 226)(50, 218, 59, 227, 51, 219, 60, 228)(53, 221, 61, 229, 56, 224, 62, 230)(54, 222, 63, 231, 55, 223, 64, 232)(65, 233, 73, 241, 68, 236, 74, 242)(66, 234, 75, 243, 67, 235, 76, 244)(69, 237, 128, 296, 72, 240, 127, 295)(70, 238, 125, 293, 71, 239, 126, 294)(77, 245, 145, 313, 82, 250, 146, 314)(78, 246, 149, 317, 79, 247, 151, 319)(80, 248, 148, 316, 93, 261, 152, 320)(81, 249, 147, 315, 92, 260, 153, 321)(83, 251, 144, 312, 86, 254, 139, 307)(84, 252, 142, 310, 85, 253, 143, 311)(87, 255, 156, 324, 88, 256, 158, 326)(89, 257, 155, 323, 104, 272, 159, 327)(90, 258, 161, 329, 91, 259, 163, 331)(94, 262, 157, 325, 95, 263, 162, 330)(96, 264, 165, 333, 99, 267, 166, 334)(97, 265, 160, 328, 98, 266, 164, 332)(100, 268, 133, 301, 103, 271, 136, 304)(101, 269, 135, 303, 102, 270, 134, 302)(105, 273, 129, 297, 108, 276, 132, 300)(106, 274, 131, 299, 107, 275, 130, 298)(109, 277, 168, 336, 110, 278, 150, 318)(111, 279, 167, 335, 112, 280, 154, 322)(113, 281, 141, 309, 114, 282, 137, 305)(115, 283, 138, 306, 116, 284, 140, 308)(117, 285, 122, 290, 120, 288, 123, 291)(118, 286, 124, 292, 119, 287, 121, 289)(337, 338)(339, 342)(340, 347)(341, 350)(343, 354)(344, 357)(345, 358)(346, 355)(348, 353)(349, 359)(351, 352)(356, 364)(360, 369)(361, 371)(362, 372)(363, 370)(365, 373)(366, 375)(367, 376)(368, 374)(377, 385)(378, 387)(379, 388)(380, 386)(381, 389)(382, 391)(383, 392)(384, 390)(393, 401)(394, 403)(395, 404)(396, 402)(397, 405)(398, 407)(399, 408)(400, 406)(409, 473)(410, 476)(411, 477)(412, 474)(413, 478)(414, 483)(415, 488)(416, 471)(417, 470)(418, 475)(419, 467)(420, 466)(421, 465)(422, 468)(423, 481)(424, 495)(425, 479)(426, 491)(427, 482)(428, 469)(429, 472)(430, 485)(431, 502)(432, 489)(433, 501)(434, 487)(435, 484)(436, 460)(437, 457)(438, 458)(439, 459)(440, 480)(441, 456)(442, 453)(443, 454)(444, 455)(445, 492)(446, 497)(447, 499)(448, 494)(449, 493)(450, 496)(451, 500)(452, 498)(461, 504)(462, 503)(463, 490)(464, 486)(505, 507)(506, 510)(508, 516)(509, 519)(511, 523)(512, 526)(513, 525)(514, 522)(515, 521)(517, 524)(518, 520)(527, 532)(528, 538)(529, 540)(530, 539)(531, 537)(533, 542)(534, 544)(535, 543)(536, 541)(545, 554)(546, 556)(547, 555)(548, 553)(549, 558)(550, 560)(551, 559)(552, 557)(561, 570)(562, 572)(563, 571)(564, 569)(565, 574)(566, 576)(567, 575)(568, 573)(577, 642)(578, 645)(579, 644)(580, 641)(581, 648)(582, 652)(583, 657)(584, 637)(585, 640)(586, 647)(587, 633)(588, 636)(589, 635)(590, 634)(591, 659)(592, 650)(593, 643)(594, 649)(595, 663)(596, 639)(597, 638)(598, 669)(599, 655)(600, 656)(601, 653)(602, 670)(603, 651)(604, 626)(605, 627)(606, 628)(607, 625)(608, 646)(609, 622)(610, 623)(611, 624)(612, 621)(613, 667)(614, 662)(615, 660)(616, 665)(617, 668)(618, 666)(619, 661)(620, 664)(629, 658)(630, 654)(631, 672)(632, 671)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1635
Graph:: simple bipartite
	v = 210 e = 336 f = 84
	degree seq :: [ 2^168, 8^42 ]

E22.1634 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1, (Y3 * Y2 * Y1)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 169, 337, 505, 4, 172, 340, 508)(2, 170, 338, 506, 6, 174, 342, 510)(3, 171, 339, 507, 8, 176, 344, 512)(5, 173, 341, 509, 12, 180, 348, 516)(7, 175, 343, 511, 15, 183, 351, 519)(9, 177, 345, 513, 19, 187, 355, 523)(10, 178, 346, 514, 21, 189, 357, 525)(11, 179, 347, 515, 22, 190, 358, 526)(13, 181, 349, 517, 26, 194, 362, 530)(14, 182, 350, 518, 28, 196, 364, 532)(16, 184, 352, 520, 32, 200, 368, 536)(17, 185, 353, 521, 34, 202, 370, 538)(18, 186, 354, 522, 36, 204, 372, 540)(20, 188, 356, 524, 39, 207, 375, 543)(23, 191, 359, 527, 45, 213, 381, 549)(24, 192, 360, 528, 47, 215, 383, 551)(25, 193, 361, 529, 49, 217, 385, 553)(27, 195, 363, 531, 52, 220, 388, 556)(29, 197, 365, 533, 56, 224, 392, 560)(30, 198, 366, 534, 58, 226, 394, 562)(31, 199, 367, 535, 60, 228, 396, 564)(33, 201, 369, 537, 63, 231, 399, 567)(35, 203, 371, 539, 65, 233, 401, 569)(37, 205, 373, 541, 67, 235, 403, 571)(38, 206, 374, 542, 69, 237, 405, 573)(40, 208, 376, 544, 72, 240, 408, 576)(41, 209, 377, 545, 73, 241, 409, 577)(42, 210, 378, 546, 75, 243, 411, 579)(43, 211, 379, 547, 77, 245, 413, 581)(44, 212, 380, 548, 79, 247, 415, 583)(46, 214, 382, 550, 82, 250, 418, 586)(48, 216, 384, 552, 84, 252, 420, 588)(50, 218, 386, 554, 86, 254, 422, 590)(51, 219, 387, 555, 88, 256, 424, 592)(53, 221, 389, 557, 91, 259, 427, 595)(54, 222, 390, 558, 92, 260, 428, 596)(55, 223, 391, 559, 94, 262, 430, 598)(57, 225, 393, 561, 96, 264, 432, 600)(59, 227, 395, 563, 98, 266, 434, 602)(61, 229, 397, 565, 99, 267, 435, 603)(62, 230, 398, 566, 101, 269, 437, 605)(64, 232, 400, 568, 103, 271, 439, 607)(66, 234, 402, 570, 106, 274, 442, 610)(68, 236, 404, 572, 109, 277, 445, 613)(70, 238, 406, 574, 112, 280, 448, 616)(71, 239, 407, 575, 113, 281, 449, 617)(74, 242, 410, 578, 118, 286, 454, 622)(76, 244, 412, 580, 120, 288, 456, 624)(78, 246, 414, 582, 122, 290, 458, 626)(80, 248, 416, 584, 123, 291, 459, 627)(81, 249, 417, 585, 125, 293, 461, 629)(83, 251, 419, 587, 127, 295, 463, 631)(85, 253, 421, 589, 130, 298, 466, 634)(87, 255, 423, 591, 133, 301, 469, 637)(89, 257, 425, 593, 136, 304, 472, 640)(90, 258, 426, 594, 137, 305, 473, 641)(93, 261, 429, 597, 141, 309, 477, 645)(95, 263, 431, 599, 142, 310, 478, 646)(97, 265, 433, 601, 143, 311, 479, 647)(100, 268, 436, 604, 145, 313, 481, 649)(102, 270, 438, 606, 147, 315, 483, 651)(104, 272, 440, 608, 150, 318, 486, 654)(105, 273, 441, 609, 151, 319, 487, 655)(107, 275, 443, 611, 139, 307, 475, 643)(108, 276, 444, 612, 134, 302, 470, 638)(110, 278, 446, 614, 132, 300, 468, 636)(111, 279, 447, 615, 146, 314, 482, 650)(114, 282, 450, 618, 138, 306, 474, 642)(115, 283, 451, 619, 131, 299, 467, 635)(116, 284, 452, 620, 149, 317, 485, 653)(117, 285, 453, 621, 152, 320, 488, 656)(119, 287, 455, 623, 153, 321, 489, 657)(121, 289, 457, 625, 154, 322, 490, 658)(124, 292, 460, 628, 156, 324, 492, 660)(126, 294, 462, 630, 158, 326, 494, 662)(128, 296, 464, 632, 161, 329, 497, 665)(129, 297, 465, 633, 162, 330, 498, 666)(135, 303, 471, 639, 157, 325, 493, 661)(140, 308, 476, 644, 160, 328, 496, 664)(144, 312, 480, 648, 165, 333, 501, 669)(148, 316, 484, 652, 164, 332, 500, 668)(155, 323, 491, 659, 168, 336, 504, 672)(159, 327, 495, 663, 167, 335, 503, 671)(163, 331, 499, 667, 166, 334, 502, 670)
	L = (1, 170)(2, 169)(3, 175)(4, 177)(5, 179)(6, 181)(7, 171)(8, 184)(9, 172)(10, 188)(11, 173)(12, 191)(13, 174)(14, 195)(15, 197)(16, 176)(17, 201)(18, 203)(19, 205)(20, 178)(21, 208)(22, 210)(23, 180)(24, 214)(25, 216)(26, 218)(27, 182)(28, 221)(29, 183)(30, 225)(31, 227)(32, 229)(33, 185)(34, 232)(35, 186)(36, 234)(37, 187)(38, 236)(39, 231)(40, 189)(41, 224)(42, 190)(43, 244)(44, 246)(45, 248)(46, 192)(47, 251)(48, 193)(49, 253)(50, 194)(51, 255)(52, 250)(53, 196)(54, 243)(55, 261)(56, 209)(57, 198)(58, 265)(59, 199)(60, 257)(61, 200)(62, 268)(63, 207)(64, 202)(65, 272)(66, 204)(67, 275)(68, 206)(69, 278)(70, 247)(71, 263)(72, 282)(73, 284)(74, 285)(75, 222)(76, 211)(77, 289)(78, 212)(79, 238)(80, 213)(81, 292)(82, 220)(83, 215)(84, 296)(85, 217)(86, 299)(87, 219)(88, 302)(89, 228)(90, 287)(91, 306)(92, 308)(93, 223)(94, 294)(95, 239)(96, 288)(97, 226)(98, 297)(99, 300)(100, 230)(101, 307)(102, 286)(103, 316)(104, 233)(105, 290)(106, 301)(107, 235)(108, 291)(109, 298)(110, 237)(111, 318)(112, 305)(113, 304)(114, 240)(115, 293)(116, 241)(117, 242)(118, 270)(119, 258)(120, 264)(121, 245)(122, 273)(123, 276)(124, 249)(125, 283)(126, 262)(127, 327)(128, 252)(129, 266)(130, 277)(131, 254)(132, 267)(133, 274)(134, 256)(135, 329)(136, 281)(137, 280)(138, 259)(139, 269)(140, 260)(141, 323)(142, 328)(143, 332)(144, 320)(145, 326)(146, 330)(147, 324)(148, 271)(149, 321)(150, 279)(151, 325)(152, 312)(153, 317)(154, 335)(155, 309)(156, 315)(157, 319)(158, 313)(159, 295)(160, 310)(161, 303)(162, 314)(163, 336)(164, 311)(165, 334)(166, 333)(167, 322)(168, 331)(337, 507)(338, 509)(339, 505)(340, 514)(341, 506)(342, 518)(343, 515)(344, 521)(345, 522)(346, 508)(347, 511)(348, 528)(349, 529)(350, 510)(351, 534)(352, 535)(353, 512)(354, 513)(355, 542)(356, 539)(357, 545)(358, 547)(359, 548)(360, 516)(361, 517)(362, 555)(363, 552)(364, 558)(365, 559)(366, 519)(367, 520)(368, 566)(369, 563)(370, 554)(371, 524)(372, 553)(373, 551)(374, 523)(375, 574)(376, 575)(377, 525)(378, 578)(379, 526)(380, 527)(381, 585)(382, 582)(383, 541)(384, 531)(385, 540)(386, 538)(387, 530)(388, 593)(389, 594)(390, 532)(391, 533)(392, 599)(393, 597)(394, 584)(395, 537)(396, 598)(397, 581)(398, 536)(399, 606)(400, 591)(401, 609)(402, 600)(403, 612)(404, 587)(405, 615)(406, 543)(407, 544)(408, 619)(409, 611)(410, 546)(411, 623)(412, 621)(413, 565)(414, 550)(415, 622)(416, 562)(417, 549)(418, 630)(419, 572)(420, 633)(421, 624)(422, 636)(423, 568)(424, 639)(425, 556)(426, 557)(427, 643)(428, 635)(429, 561)(430, 564)(431, 560)(432, 570)(433, 628)(434, 648)(435, 644)(436, 625)(437, 650)(438, 567)(439, 653)(440, 645)(441, 569)(442, 649)(443, 577)(444, 571)(445, 640)(446, 647)(447, 573)(448, 637)(449, 651)(450, 655)(451, 576)(452, 627)(453, 580)(454, 583)(455, 579)(456, 589)(457, 604)(458, 659)(459, 620)(460, 601)(461, 661)(462, 586)(463, 664)(464, 656)(465, 588)(466, 660)(467, 596)(468, 590)(469, 616)(470, 658)(471, 592)(472, 613)(473, 662)(474, 666)(475, 595)(476, 603)(477, 608)(478, 667)(479, 614)(480, 602)(481, 610)(482, 605)(483, 617)(484, 669)(485, 607)(486, 668)(487, 618)(488, 632)(489, 670)(490, 638)(491, 626)(492, 634)(493, 629)(494, 641)(495, 672)(496, 631)(497, 671)(498, 642)(499, 646)(500, 654)(501, 652)(502, 657)(503, 665)(504, 663)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1632
Transitivity :: VT+
Graph::
	v = 84 e = 336 f = 210
	degree seq :: [ 8^84 ]

E22.1635 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1)^21 ]
Map::
	R = (1, 169, 337, 505, 4, 172, 340, 508)(2, 170, 338, 506, 6, 174, 342, 510)(3, 171, 339, 507, 7, 175, 343, 511)(5, 173, 341, 509, 10, 178, 346, 514)(8, 176, 344, 512, 16, 184, 352, 520)(9, 177, 345, 513, 17, 185, 353, 521)(11, 179, 347, 515, 21, 189, 357, 525)(12, 180, 348, 516, 22, 190, 358, 526)(13, 181, 349, 517, 24, 192, 360, 528)(14, 182, 350, 518, 25, 193, 361, 529)(15, 183, 351, 519, 26, 194, 362, 530)(18, 186, 354, 522, 32, 200, 368, 536)(19, 187, 355, 523, 33, 201, 369, 537)(20, 188, 356, 524, 34, 202, 370, 538)(23, 191, 359, 527, 39, 207, 375, 543)(27, 195, 363, 531, 40, 208, 376, 544)(28, 196, 364, 532, 41, 209, 377, 545)(29, 197, 365, 533, 42, 210, 378, 546)(30, 198, 366, 534, 43, 211, 379, 547)(31, 199, 367, 535, 44, 212, 380, 548)(35, 203, 371, 539, 45, 213, 381, 549)(36, 204, 372, 540, 46, 214, 382, 550)(37, 205, 373, 541, 47, 215, 383, 551)(38, 206, 374, 542, 48, 216, 384, 552)(49, 217, 385, 553, 57, 225, 393, 561)(50, 218, 386, 554, 58, 226, 394, 562)(51, 219, 387, 555, 59, 227, 395, 563)(52, 220, 388, 556, 60, 228, 396, 564)(53, 221, 389, 557, 61, 229, 397, 565)(54, 222, 390, 558, 62, 230, 398, 566)(55, 223, 391, 559, 63, 231, 399, 567)(56, 224, 392, 560, 64, 232, 400, 568)(65, 233, 401, 569, 73, 241, 409, 577)(66, 234, 402, 570, 74, 242, 410, 578)(67, 235, 403, 571, 75, 243, 411, 579)(68, 236, 404, 572, 76, 244, 412, 580)(69, 237, 405, 573, 117, 285, 453, 621)(70, 238, 406, 574, 118, 286, 454, 622)(71, 239, 407, 575, 119, 287, 455, 623)(72, 240, 408, 576, 120, 288, 456, 624)(77, 245, 413, 581, 125, 293, 461, 629)(78, 246, 414, 582, 126, 294, 462, 630)(79, 247, 415, 583, 127, 295, 463, 631)(80, 248, 416, 584, 128, 296, 464, 632)(81, 249, 417, 585, 129, 297, 465, 633)(82, 250, 418, 586, 130, 298, 466, 634)(83, 251, 419, 587, 131, 299, 467, 635)(84, 252, 420, 588, 132, 300, 468, 636)(85, 253, 421, 589, 135, 303, 471, 639)(86, 254, 422, 590, 136, 304, 472, 640)(87, 255, 423, 591, 137, 305, 473, 641)(88, 256, 424, 592, 140, 308, 476, 644)(89, 257, 425, 593, 141, 309, 477, 645)(90, 258, 426, 594, 142, 310, 478, 646)(91, 259, 427, 595, 143, 311, 479, 647)(92, 260, 428, 596, 144, 312, 480, 648)(93, 261, 429, 597, 145, 313, 481, 649)(94, 262, 430, 598, 139, 307, 475, 643)(95, 263, 431, 599, 146, 314, 482, 650)(96, 264, 432, 600, 147, 315, 483, 651)(97, 265, 433, 601, 148, 316, 484, 652)(98, 266, 434, 602, 134, 302, 470, 638)(99, 267, 435, 603, 133, 301, 469, 637)(100, 268, 436, 604, 149, 317, 485, 653)(101, 269, 437, 605, 150, 318, 486, 654)(102, 270, 438, 606, 151, 319, 487, 655)(103, 271, 439, 607, 152, 320, 488, 656)(104, 272, 440, 608, 138, 306, 474, 642)(105, 273, 441, 609, 153, 321, 489, 657)(106, 274, 442, 610, 154, 322, 490, 658)(107, 275, 443, 611, 155, 323, 491, 659)(108, 276, 444, 612, 156, 324, 492, 660)(109, 277, 445, 613, 157, 325, 493, 661)(110, 278, 446, 614, 158, 326, 494, 662)(111, 279, 447, 615, 159, 327, 495, 663)(112, 280, 448, 616, 160, 328, 496, 664)(113, 281, 449, 617, 161, 329, 497, 665)(114, 282, 450, 618, 162, 330, 498, 666)(115, 283, 451, 619, 163, 331, 499, 667)(116, 284, 452, 620, 164, 332, 500, 668)(121, 289, 457, 625, 165, 333, 501, 669)(122, 290, 458, 626, 168, 336, 504, 672)(123, 291, 459, 627, 167, 335, 503, 671)(124, 292, 460, 628, 166, 334, 502, 670)
	L = (1, 170)(2, 169)(3, 173)(4, 176)(5, 171)(6, 179)(7, 181)(8, 172)(9, 183)(10, 186)(11, 174)(12, 188)(13, 175)(14, 191)(15, 177)(16, 195)(17, 197)(18, 178)(19, 199)(20, 180)(21, 203)(22, 205)(23, 182)(24, 206)(25, 204)(26, 207)(27, 184)(28, 201)(29, 185)(30, 200)(31, 187)(32, 198)(33, 196)(34, 212)(35, 189)(36, 193)(37, 190)(38, 192)(39, 194)(40, 217)(41, 219)(42, 220)(43, 218)(44, 202)(45, 221)(46, 223)(47, 224)(48, 222)(49, 208)(50, 211)(51, 209)(52, 210)(53, 213)(54, 216)(55, 214)(56, 215)(57, 233)(58, 235)(59, 236)(60, 234)(61, 237)(62, 239)(63, 240)(64, 238)(65, 225)(66, 228)(67, 226)(68, 227)(69, 229)(70, 232)(71, 230)(72, 231)(73, 246)(74, 267)(75, 247)(76, 266)(77, 285)(78, 241)(79, 243)(80, 294)(81, 287)(82, 293)(83, 297)(84, 295)(85, 301)(86, 296)(87, 303)(88, 306)(89, 298)(90, 308)(91, 307)(92, 299)(93, 311)(94, 288)(95, 302)(96, 300)(97, 314)(98, 244)(99, 242)(100, 304)(101, 316)(102, 305)(103, 315)(104, 286)(105, 309)(106, 313)(107, 310)(108, 312)(109, 317)(110, 320)(111, 318)(112, 319)(113, 321)(114, 324)(115, 322)(116, 323)(117, 245)(118, 272)(119, 249)(120, 262)(121, 325)(122, 328)(123, 326)(124, 327)(125, 250)(126, 248)(127, 252)(128, 254)(129, 251)(130, 257)(131, 260)(132, 264)(133, 253)(134, 263)(135, 255)(136, 268)(137, 270)(138, 256)(139, 259)(140, 258)(141, 273)(142, 275)(143, 261)(144, 276)(145, 274)(146, 265)(147, 271)(148, 269)(149, 277)(150, 279)(151, 280)(152, 278)(153, 281)(154, 283)(155, 284)(156, 282)(157, 289)(158, 291)(159, 292)(160, 290)(161, 333)(162, 335)(163, 336)(164, 334)(165, 329)(166, 332)(167, 330)(168, 331)(337, 507)(338, 509)(339, 505)(340, 513)(341, 506)(342, 516)(343, 518)(344, 519)(345, 508)(346, 523)(347, 524)(348, 510)(349, 527)(350, 511)(351, 512)(352, 532)(353, 534)(354, 535)(355, 514)(356, 515)(357, 540)(358, 542)(359, 517)(360, 541)(361, 539)(362, 538)(363, 537)(364, 520)(365, 536)(366, 521)(367, 522)(368, 533)(369, 531)(370, 530)(371, 529)(372, 525)(373, 528)(374, 526)(375, 548)(376, 554)(377, 556)(378, 555)(379, 553)(380, 543)(381, 558)(382, 560)(383, 559)(384, 557)(385, 547)(386, 544)(387, 546)(388, 545)(389, 552)(390, 549)(391, 551)(392, 550)(393, 570)(394, 572)(395, 571)(396, 569)(397, 574)(398, 576)(399, 575)(400, 573)(401, 564)(402, 561)(403, 563)(404, 562)(405, 568)(406, 565)(407, 567)(408, 566)(409, 602)(410, 583)(411, 603)(412, 582)(413, 624)(414, 580)(415, 578)(416, 631)(417, 622)(418, 633)(419, 629)(420, 630)(421, 638)(422, 639)(423, 632)(424, 643)(425, 644)(426, 634)(427, 642)(428, 647)(429, 635)(430, 621)(431, 637)(432, 650)(433, 636)(434, 577)(435, 579)(436, 652)(437, 640)(438, 651)(439, 641)(440, 623)(441, 649)(442, 645)(443, 648)(444, 646)(445, 656)(446, 653)(447, 655)(448, 654)(449, 660)(450, 657)(451, 659)(452, 658)(453, 598)(454, 585)(455, 608)(456, 581)(457, 664)(458, 661)(459, 663)(460, 662)(461, 587)(462, 588)(463, 584)(464, 591)(465, 586)(466, 594)(467, 597)(468, 601)(469, 599)(470, 589)(471, 590)(472, 605)(473, 607)(474, 595)(475, 592)(476, 593)(477, 610)(478, 612)(479, 596)(480, 611)(481, 609)(482, 600)(483, 606)(484, 604)(485, 614)(486, 616)(487, 615)(488, 613)(489, 618)(490, 620)(491, 619)(492, 617)(493, 626)(494, 628)(495, 627)(496, 625)(497, 670)(498, 672)(499, 671)(500, 669)(501, 668)(502, 665)(503, 667)(504, 666)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1633
Transitivity :: VT+
Graph::
	v = 84 e = 336 f = 210
	degree seq :: [ 8^84 ]

E22.1636 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3 * Y1 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y1 * Y3)^2, Y3 * Y1 * Y2 * Y3^-2 * Y1 * Y2 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 169, 337, 505, 4, 172, 340, 508, 14, 182, 350, 518, 5, 173, 341, 509)(2, 170, 338, 506, 7, 175, 343, 511, 22, 190, 358, 526, 8, 176, 344, 512)(3, 171, 339, 507, 10, 178, 346, 514, 28, 196, 364, 532, 11, 179, 347, 515)(6, 174, 342, 510, 18, 186, 354, 522, 46, 214, 382, 550, 19, 187, 355, 523)(9, 177, 345, 513, 25, 193, 361, 529, 62, 230, 398, 566, 26, 194, 362, 530)(12, 180, 348, 516, 31, 199, 367, 535, 73, 241, 409, 577, 32, 200, 368, 536)(13, 181, 349, 517, 34, 202, 370, 538, 47, 215, 383, 551, 35, 203, 371, 539)(15, 183, 351, 519, 39, 207, 375, 543, 61, 229, 397, 565, 40, 208, 376, 544)(16, 184, 352, 520, 41, 209, 377, 545, 87, 255, 423, 591, 42, 210, 378, 546)(17, 185, 353, 521, 43, 211, 379, 547, 90, 258, 426, 594, 44, 212, 380, 548)(20, 188, 356, 524, 49, 217, 385, 553, 101, 269, 437, 605, 50, 218, 386, 554)(21, 189, 357, 525, 52, 220, 388, 556, 29, 197, 365, 533, 53, 221, 389, 557)(23, 191, 359, 527, 57, 225, 393, 561, 89, 257, 425, 593, 58, 226, 394, 562)(24, 192, 360, 528, 59, 227, 395, 563, 115, 283, 451, 619, 60, 228, 396, 564)(27, 195, 363, 531, 64, 232, 400, 568, 91, 259, 427, 595, 65, 233, 401, 569)(30, 198, 366, 534, 69, 237, 405, 573, 118, 286, 454, 622, 70, 238, 406, 574)(33, 201, 369, 537, 55, 223, 391, 559, 110, 278, 446, 614, 76, 244, 412, 580)(36, 204, 372, 540, 68, 236, 404, 572, 95, 263, 431, 599, 80, 248, 416, 584)(37, 205, 373, 541, 82, 250, 418, 586, 104, 272, 440, 608, 51, 219, 387, 555)(38, 206, 374, 542, 81, 249, 417, 585, 117, 285, 453, 621, 66, 234, 402, 570)(45, 213, 381, 549, 92, 260, 428, 596, 63, 231, 399, 567, 93, 261, 429, 597)(48, 216, 384, 552, 97, 265, 433, 601, 132, 300, 468, 636, 98, 266, 434, 602)(54, 222, 390, 558, 96, 264, 432, 600, 67, 235, 403, 571, 108, 276, 444, 612)(56, 224, 392, 560, 109, 277, 445, 613, 131, 299, 467, 635, 94, 262, 430, 598)(71, 239, 407, 575, 119, 287, 455, 623, 84, 252, 420, 588, 120, 288, 456, 624)(72, 240, 408, 576, 121, 289, 457, 625, 78, 246, 414, 582, 122, 290, 458, 626)(74, 242, 410, 578, 123, 291, 459, 627, 83, 251, 419, 587, 124, 292, 460, 628)(75, 243, 411, 579, 125, 293, 461, 629, 85, 253, 421, 589, 126, 294, 462, 630)(77, 245, 413, 581, 127, 295, 463, 631, 88, 256, 424, 592, 128, 296, 464, 632)(79, 247, 415, 583, 129, 297, 465, 633, 86, 254, 422, 590, 130, 298, 466, 634)(99, 267, 435, 603, 133, 301, 469, 637, 112, 280, 448, 616, 134, 302, 470, 638)(100, 268, 436, 604, 135, 303, 471, 639, 106, 274, 442, 610, 136, 304, 472, 640)(102, 270, 438, 606, 137, 305, 473, 641, 111, 279, 447, 615, 138, 306, 474, 642)(103, 271, 439, 607, 139, 307, 475, 643, 113, 281, 449, 617, 140, 308, 476, 644)(105, 273, 441, 609, 141, 309, 477, 645, 116, 284, 452, 620, 142, 310, 478, 646)(107, 275, 443, 611, 143, 311, 479, 647, 114, 282, 450, 618, 144, 312, 480, 648)(145, 313, 481, 649, 163, 331, 499, 667, 153, 321, 489, 657, 167, 335, 503, 671)(146, 314, 482, 650, 166, 334, 502, 670, 150, 318, 486, 654, 160, 328, 496, 664)(147, 315, 483, 651, 161, 329, 497, 665, 152, 320, 488, 656, 168, 336, 504, 672)(148, 316, 484, 652, 158, 326, 494, 662, 154, 322, 490, 658, 162, 330, 498, 666)(149, 317, 485, 653, 164, 332, 500, 668, 156, 324, 492, 660, 159, 327, 495, 663)(151, 319, 487, 655, 165, 333, 501, 669, 155, 323, 491, 659, 157, 325, 493, 661)
	L = (1, 170)(2, 169)(3, 177)(4, 180)(5, 183)(6, 185)(7, 188)(8, 191)(9, 171)(10, 192)(11, 197)(12, 172)(13, 201)(14, 204)(15, 173)(16, 186)(17, 174)(18, 184)(19, 215)(20, 175)(21, 219)(22, 222)(23, 176)(24, 178)(25, 216)(26, 231)(27, 224)(28, 234)(29, 179)(30, 211)(31, 239)(32, 242)(33, 181)(34, 243)(35, 246)(36, 182)(37, 249)(38, 213)(39, 251)(40, 252)(41, 253)(42, 240)(43, 198)(44, 259)(45, 206)(46, 262)(47, 187)(48, 193)(49, 267)(50, 270)(51, 189)(52, 271)(53, 274)(54, 190)(55, 277)(56, 195)(57, 279)(58, 280)(59, 281)(60, 268)(61, 264)(62, 272)(63, 194)(64, 284)(65, 275)(66, 196)(67, 263)(68, 257)(69, 273)(70, 282)(71, 199)(72, 210)(73, 276)(74, 200)(75, 202)(76, 258)(77, 265)(78, 203)(79, 261)(80, 269)(81, 205)(82, 283)(83, 207)(84, 208)(85, 209)(86, 266)(87, 278)(88, 260)(89, 236)(90, 244)(91, 212)(92, 256)(93, 247)(94, 214)(95, 235)(96, 229)(97, 245)(98, 254)(99, 217)(100, 228)(101, 248)(102, 218)(103, 220)(104, 230)(105, 237)(106, 221)(107, 233)(108, 241)(109, 223)(110, 255)(111, 225)(112, 226)(113, 227)(114, 238)(115, 250)(116, 232)(117, 300)(118, 299)(119, 313)(120, 315)(121, 316)(122, 318)(123, 320)(124, 321)(125, 322)(126, 314)(127, 324)(128, 319)(129, 317)(130, 323)(131, 286)(132, 285)(133, 325)(134, 327)(135, 328)(136, 330)(137, 332)(138, 333)(139, 334)(140, 326)(141, 336)(142, 331)(143, 329)(144, 335)(145, 287)(146, 294)(147, 288)(148, 289)(149, 297)(150, 290)(151, 296)(152, 291)(153, 292)(154, 293)(155, 298)(156, 295)(157, 301)(158, 308)(159, 302)(160, 303)(161, 311)(162, 304)(163, 310)(164, 305)(165, 306)(166, 307)(167, 312)(168, 309)(337, 507)(338, 510)(339, 505)(340, 517)(341, 520)(342, 506)(343, 525)(344, 528)(345, 521)(346, 531)(347, 534)(348, 530)(349, 508)(350, 541)(351, 542)(352, 509)(353, 513)(354, 549)(355, 552)(356, 548)(357, 511)(358, 559)(359, 560)(360, 512)(361, 565)(362, 516)(363, 514)(364, 571)(365, 572)(366, 515)(367, 576)(368, 579)(369, 567)(370, 581)(371, 583)(372, 580)(373, 518)(374, 519)(375, 582)(376, 589)(377, 590)(378, 592)(379, 593)(380, 524)(381, 522)(382, 599)(383, 600)(384, 523)(385, 604)(386, 607)(387, 595)(388, 609)(389, 611)(390, 608)(391, 526)(392, 527)(393, 610)(394, 617)(395, 618)(396, 620)(397, 529)(398, 613)(399, 537)(400, 603)(401, 615)(402, 598)(403, 532)(404, 533)(405, 606)(406, 616)(407, 596)(408, 535)(409, 621)(410, 601)(411, 536)(412, 540)(413, 538)(414, 543)(415, 539)(416, 619)(417, 594)(418, 622)(419, 597)(420, 602)(421, 544)(422, 545)(423, 612)(424, 546)(425, 547)(426, 585)(427, 555)(428, 575)(429, 587)(430, 570)(431, 550)(432, 551)(433, 578)(434, 588)(435, 568)(436, 553)(437, 635)(438, 573)(439, 554)(440, 558)(441, 556)(442, 561)(443, 557)(444, 591)(445, 566)(446, 636)(447, 569)(448, 574)(449, 562)(450, 563)(451, 584)(452, 564)(453, 577)(454, 586)(455, 650)(456, 652)(457, 653)(458, 655)(459, 654)(460, 658)(461, 659)(462, 660)(463, 649)(464, 656)(465, 651)(466, 657)(467, 605)(468, 614)(469, 662)(470, 664)(471, 665)(472, 667)(473, 666)(474, 670)(475, 671)(476, 672)(477, 661)(478, 668)(479, 663)(480, 669)(481, 631)(482, 623)(483, 633)(484, 624)(485, 625)(486, 627)(487, 626)(488, 632)(489, 634)(490, 628)(491, 629)(492, 630)(493, 645)(494, 637)(495, 647)(496, 638)(497, 639)(498, 641)(499, 640)(500, 646)(501, 648)(502, 642)(503, 643)(504, 644)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1630
Transitivity :: VT+
Graph::
	v = 42 e = 336 f = 252
	degree seq :: [ 16^42 ]

E22.1637 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * 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 * Y3^-1 * Y1 ]
Map::
	R = (1, 169, 337, 505, 4, 172, 340, 508, 13, 181, 349, 517, 5, 173, 341, 509)(2, 170, 338, 506, 7, 175, 343, 511, 20, 188, 356, 524, 8, 176, 344, 512)(3, 171, 339, 507, 9, 177, 345, 513, 23, 191, 359, 527, 10, 178, 346, 514)(6, 174, 342, 510, 16, 184, 352, 520, 28, 196, 364, 532, 17, 185, 353, 521)(11, 179, 347, 515, 24, 192, 360, 528, 15, 183, 351, 519, 25, 193, 361, 529)(12, 180, 348, 516, 26, 194, 362, 530, 14, 182, 350, 518, 27, 195, 363, 531)(18, 186, 354, 522, 29, 197, 365, 533, 22, 190, 358, 526, 30, 198, 366, 534)(19, 187, 355, 523, 31, 199, 367, 535, 21, 189, 357, 525, 32, 200, 368, 536)(33, 201, 369, 537, 41, 209, 377, 545, 36, 204, 372, 540, 42, 210, 378, 546)(34, 202, 370, 538, 43, 211, 379, 547, 35, 203, 371, 539, 44, 212, 380, 548)(37, 205, 373, 541, 45, 213, 381, 549, 40, 208, 376, 544, 46, 214, 382, 550)(38, 206, 374, 542, 47, 215, 383, 551, 39, 207, 375, 543, 48, 216, 384, 552)(49, 217, 385, 553, 57, 225, 393, 561, 52, 220, 388, 556, 58, 226, 394, 562)(50, 218, 386, 554, 59, 227, 395, 563, 51, 219, 387, 555, 60, 228, 396, 564)(53, 221, 389, 557, 61, 229, 397, 565, 56, 224, 392, 560, 62, 230, 398, 566)(54, 222, 390, 558, 63, 231, 399, 567, 55, 223, 391, 559, 64, 232, 400, 568)(65, 233, 401, 569, 73, 241, 409, 577, 68, 236, 404, 572, 74, 242, 410, 578)(66, 234, 402, 570, 75, 243, 411, 579, 67, 235, 403, 571, 76, 244, 412, 580)(69, 237, 405, 573, 109, 277, 445, 613, 72, 240, 408, 576, 111, 279, 447, 615)(70, 238, 406, 574, 110, 278, 446, 614, 71, 239, 407, 575, 112, 280, 448, 616)(77, 245, 413, 581, 139, 307, 475, 643, 104, 272, 440, 608, 141, 309, 477, 645)(78, 246, 414, 582, 143, 311, 479, 647, 99, 267, 435, 603, 144, 312, 480, 648)(79, 247, 415, 583, 147, 315, 483, 651, 96, 264, 432, 600, 149, 317, 485, 653)(80, 248, 416, 584, 140, 308, 476, 644, 92, 260, 428, 596, 145, 313, 481, 649)(81, 249, 417, 585, 146, 314, 482, 650, 93, 261, 429, 597, 142, 310, 478, 646)(82, 250, 418, 586, 154, 322, 490, 658, 89, 257, 425, 593, 152, 320, 488, 656)(83, 251, 419, 587, 137, 305, 473, 641, 85, 253, 421, 589, 148, 316, 484, 652)(84, 252, 420, 588, 153, 321, 489, 657, 86, 254, 422, 590, 138, 306, 474, 642)(87, 255, 423, 591, 159, 327, 495, 663, 90, 258, 426, 594, 160, 328, 496, 664)(88, 256, 424, 592, 161, 329, 497, 665, 91, 259, 427, 595, 163, 331, 499, 667)(94, 262, 430, 598, 132, 300, 468, 636, 97, 265, 433, 601, 130, 298, 466, 634)(95, 263, 431, 599, 133, 301, 469, 637, 98, 266, 434, 602, 129, 297, 465, 633)(100, 268, 436, 604, 150, 318, 486, 654, 102, 270, 438, 606, 162, 330, 498, 666)(101, 269, 437, 605, 164, 332, 500, 668, 103, 271, 439, 607, 151, 319, 487, 655)(105, 273, 441, 609, 155, 323, 491, 659, 107, 275, 443, 611, 158, 326, 494, 662)(106, 274, 442, 610, 157, 325, 493, 661, 108, 276, 444, 612, 156, 324, 492, 660)(113, 281, 449, 617, 165, 333, 501, 669, 115, 283, 451, 619, 168, 336, 504, 672)(114, 282, 450, 618, 167, 335, 503, 671, 116, 284, 452, 620, 166, 334, 502, 670)(117, 285, 453, 621, 131, 299, 467, 635, 119, 287, 455, 623, 135, 303, 471, 639)(118, 286, 454, 622, 136, 304, 472, 640, 120, 288, 456, 624, 134, 302, 470, 638)(121, 289, 457, 625, 128, 296, 464, 632, 123, 291, 459, 627, 126, 294, 462, 630)(122, 290, 458, 626, 125, 293, 461, 629, 124, 292, 460, 628, 127, 295, 463, 631)
	L = (1, 170)(2, 169)(3, 174)(4, 179)(5, 182)(6, 171)(7, 186)(8, 189)(9, 190)(10, 187)(11, 172)(12, 185)(13, 191)(14, 173)(15, 184)(16, 183)(17, 180)(18, 175)(19, 178)(20, 196)(21, 176)(22, 177)(23, 181)(24, 201)(25, 203)(26, 204)(27, 202)(28, 188)(29, 205)(30, 207)(31, 208)(32, 206)(33, 192)(34, 195)(35, 193)(36, 194)(37, 197)(38, 200)(39, 198)(40, 199)(41, 217)(42, 219)(43, 220)(44, 218)(45, 221)(46, 223)(47, 224)(48, 222)(49, 209)(50, 212)(51, 210)(52, 211)(53, 213)(54, 216)(55, 214)(56, 215)(57, 233)(58, 235)(59, 236)(60, 234)(61, 237)(62, 239)(63, 240)(64, 238)(65, 225)(66, 228)(67, 226)(68, 227)(69, 229)(70, 232)(71, 230)(72, 231)(73, 297)(74, 300)(75, 301)(76, 298)(77, 305)(78, 308)(79, 313)(80, 318)(81, 319)(82, 316)(83, 323)(84, 324)(85, 325)(86, 326)(87, 320)(88, 322)(89, 306)(90, 307)(91, 309)(92, 332)(93, 330)(94, 317)(95, 315)(96, 310)(97, 311)(98, 312)(99, 314)(100, 333)(101, 334)(102, 335)(103, 336)(104, 321)(105, 299)(106, 302)(107, 304)(108, 303)(109, 331)(110, 329)(111, 327)(112, 328)(113, 296)(114, 295)(115, 293)(116, 294)(117, 292)(118, 291)(119, 289)(120, 290)(121, 287)(122, 288)(123, 286)(124, 285)(125, 283)(126, 284)(127, 282)(128, 281)(129, 241)(130, 244)(131, 273)(132, 242)(133, 243)(134, 274)(135, 276)(136, 275)(137, 245)(138, 257)(139, 258)(140, 246)(141, 259)(142, 264)(143, 265)(144, 266)(145, 247)(146, 267)(147, 263)(148, 250)(149, 262)(150, 248)(151, 249)(152, 255)(153, 272)(154, 256)(155, 251)(156, 252)(157, 253)(158, 254)(159, 279)(160, 280)(161, 278)(162, 261)(163, 277)(164, 260)(165, 268)(166, 269)(167, 270)(168, 271)(337, 507)(338, 510)(339, 505)(340, 516)(341, 519)(342, 506)(343, 523)(344, 526)(345, 525)(346, 522)(347, 521)(348, 508)(349, 524)(350, 520)(351, 509)(352, 518)(353, 515)(354, 514)(355, 511)(356, 517)(357, 513)(358, 512)(359, 532)(360, 538)(361, 540)(362, 539)(363, 537)(364, 527)(365, 542)(366, 544)(367, 543)(368, 541)(369, 531)(370, 528)(371, 530)(372, 529)(373, 536)(374, 533)(375, 535)(376, 534)(377, 554)(378, 556)(379, 555)(380, 553)(381, 558)(382, 560)(383, 559)(384, 557)(385, 548)(386, 545)(387, 547)(388, 546)(389, 552)(390, 549)(391, 551)(392, 550)(393, 570)(394, 572)(395, 571)(396, 569)(397, 574)(398, 576)(399, 575)(400, 573)(401, 564)(402, 561)(403, 563)(404, 562)(405, 568)(406, 565)(407, 567)(408, 566)(409, 634)(410, 637)(411, 636)(412, 633)(413, 642)(414, 646)(415, 650)(416, 655)(417, 654)(418, 657)(419, 660)(420, 659)(421, 662)(422, 661)(423, 645)(424, 643)(425, 641)(426, 658)(427, 656)(428, 666)(429, 668)(430, 648)(431, 647)(432, 644)(433, 651)(434, 653)(435, 649)(436, 670)(437, 669)(438, 672)(439, 671)(440, 652)(441, 638)(442, 635)(443, 639)(444, 640)(445, 664)(446, 663)(447, 665)(448, 667)(449, 631)(450, 632)(451, 630)(452, 629)(453, 627)(454, 628)(455, 626)(456, 625)(457, 624)(458, 623)(459, 621)(460, 622)(461, 620)(462, 619)(463, 617)(464, 618)(465, 580)(466, 577)(467, 610)(468, 579)(469, 578)(470, 609)(471, 611)(472, 612)(473, 593)(474, 581)(475, 592)(476, 600)(477, 591)(478, 582)(479, 599)(480, 598)(481, 603)(482, 583)(483, 601)(484, 608)(485, 602)(486, 585)(487, 584)(488, 595)(489, 586)(490, 594)(491, 588)(492, 587)(493, 590)(494, 589)(495, 614)(496, 613)(497, 615)(498, 596)(499, 616)(500, 597)(501, 605)(502, 604)(503, 607)(504, 606)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1631
Transitivity :: VT+
Graph::
	v = 42 e = 336 f = 252
	degree seq :: [ 16^42 ]

E22.1638 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3)^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 2, 170)(3, 171, 9, 177)(4, 172, 12, 180)(5, 173, 13, 181)(6, 174, 14, 182)(7, 175, 17, 185)(8, 176, 18, 186)(10, 178, 22, 190)(11, 179, 23, 191)(15, 183, 33, 201)(16, 184, 34, 202)(19, 187, 41, 209)(20, 188, 44, 212)(21, 189, 45, 213)(24, 192, 52, 220)(25, 193, 40, 208)(26, 194, 55, 223)(27, 195, 56, 224)(28, 196, 59, 227)(29, 197, 36, 204)(30, 198, 60, 228)(31, 199, 53, 221)(32, 200, 63, 231)(35, 203, 69, 237)(37, 205, 71, 239)(38, 206, 48, 216)(39, 207, 74, 242)(42, 210, 78, 246)(43, 211, 79, 247)(46, 214, 82, 250)(47, 215, 81, 249)(49, 217, 85, 253)(50, 218, 73, 241)(51, 219, 70, 238)(54, 222, 68, 236)(57, 225, 89, 257)(58, 226, 67, 235)(61, 229, 96, 264)(62, 230, 97, 265)(64, 232, 100, 268)(65, 233, 99, 267)(66, 234, 102, 270)(72, 240, 106, 274)(75, 243, 109, 277)(76, 244, 83, 251)(77, 245, 105, 273)(80, 248, 107, 275)(84, 252, 116, 284)(86, 254, 118, 286)(87, 255, 115, 283)(88, 256, 95, 263)(90, 258, 98, 266)(91, 259, 108, 276)(92, 260, 94, 262)(93, 261, 123, 291)(101, 269, 130, 298)(103, 271, 132, 300)(104, 272, 129, 297)(110, 278, 140, 308)(111, 279, 141, 309)(112, 280, 142, 310)(113, 281, 136, 304)(114, 282, 144, 312)(117, 285, 139, 307)(119, 287, 135, 303)(120, 288, 138, 306)(121, 289, 133, 301)(122, 290, 127, 295)(124, 292, 152, 320)(125, 293, 153, 321)(126, 294, 154, 322)(128, 296, 156, 324)(131, 299, 151, 319)(134, 302, 150, 318)(137, 305, 159, 327)(143, 311, 165, 333)(145, 313, 166, 334)(146, 314, 164, 332)(147, 315, 149, 317)(148, 316, 162, 330)(155, 323, 163, 331)(157, 325, 161, 329)(158, 326, 168, 336)(160, 328, 167, 335)(337, 505, 339, 507)(338, 506, 342, 510)(340, 508, 347, 515)(341, 509, 346, 514)(343, 511, 352, 520)(344, 512, 351, 519)(345, 513, 355, 523)(348, 516, 360, 528)(349, 517, 363, 531)(350, 518, 366, 534)(353, 521, 371, 539)(354, 522, 374, 542)(356, 524, 379, 547)(357, 525, 378, 546)(358, 526, 382, 550)(359, 527, 385, 553)(361, 529, 390, 558)(362, 530, 389, 557)(364, 532, 394, 562)(365, 533, 393, 561)(367, 535, 398, 566)(368, 536, 397, 565)(369, 537, 400, 568)(370, 538, 402, 570)(372, 540, 406, 574)(373, 541, 380, 548)(375, 543, 409, 577)(376, 544, 408, 576)(377, 545, 411, 579)(381, 549, 391, 559)(383, 551, 420, 588)(384, 552, 419, 587)(386, 554, 423, 591)(387, 555, 422, 590)(388, 556, 424, 592)(392, 560, 428, 596)(395, 563, 416, 584)(396, 564, 429, 597)(399, 567, 407, 575)(401, 569, 437, 605)(403, 571, 440, 608)(404, 572, 439, 607)(405, 573, 441, 609)(410, 578, 434, 602)(412, 580, 447, 615)(413, 581, 446, 614)(414, 582, 448, 616)(415, 583, 450, 618)(417, 585, 427, 595)(418, 586, 453, 621)(421, 589, 456, 624)(425, 593, 458, 626)(426, 594, 457, 625)(430, 598, 461, 629)(431, 599, 460, 628)(432, 600, 462, 630)(433, 601, 464, 632)(435, 603, 444, 612)(436, 604, 467, 635)(438, 606, 470, 638)(442, 610, 472, 640)(443, 611, 471, 639)(445, 613, 473, 641)(449, 617, 479, 647)(451, 619, 482, 650)(452, 620, 481, 649)(454, 622, 484, 652)(455, 623, 483, 651)(459, 627, 485, 653)(463, 631, 491, 659)(465, 633, 494, 662)(466, 634, 493, 661)(468, 636, 496, 664)(469, 637, 495, 663)(474, 642, 497, 665)(475, 643, 490, 658)(476, 644, 488, 656)(477, 645, 499, 667)(478, 646, 487, 655)(480, 648, 503, 671)(486, 654, 502, 670)(489, 657, 501, 669)(492, 660, 498, 666)(500, 668, 504, 672)
	L = (1, 340)(2, 343)(3, 346)(4, 341)(5, 337)(6, 351)(7, 344)(8, 338)(9, 356)(10, 347)(11, 339)(12, 361)(13, 364)(14, 367)(15, 352)(16, 342)(17, 372)(18, 375)(19, 378)(20, 357)(21, 345)(22, 383)(23, 386)(24, 389)(25, 362)(26, 348)(27, 393)(28, 365)(29, 349)(30, 397)(31, 368)(32, 350)(33, 401)(34, 403)(35, 380)(36, 373)(37, 353)(38, 408)(39, 376)(40, 354)(41, 412)(42, 379)(43, 355)(44, 406)(45, 416)(46, 419)(47, 384)(48, 358)(49, 422)(50, 387)(51, 359)(52, 425)(53, 390)(54, 360)(55, 427)(56, 369)(57, 394)(58, 363)(59, 391)(60, 430)(61, 398)(62, 366)(63, 434)(64, 428)(65, 392)(66, 439)(67, 404)(68, 370)(69, 442)(70, 371)(71, 444)(72, 409)(73, 374)(74, 407)(75, 446)(76, 413)(77, 377)(78, 449)(79, 451)(80, 417)(81, 381)(82, 454)(83, 420)(84, 382)(85, 414)(86, 423)(87, 385)(88, 457)(89, 426)(90, 388)(91, 395)(92, 437)(93, 460)(94, 431)(95, 396)(96, 463)(97, 465)(98, 435)(99, 399)(100, 468)(101, 400)(102, 432)(103, 440)(104, 402)(105, 471)(106, 443)(107, 405)(108, 410)(109, 474)(110, 447)(111, 411)(112, 456)(113, 421)(114, 481)(115, 452)(116, 415)(117, 483)(118, 455)(119, 418)(120, 479)(121, 458)(122, 424)(123, 486)(124, 461)(125, 429)(126, 470)(127, 438)(128, 493)(129, 466)(130, 433)(131, 495)(132, 469)(133, 436)(134, 491)(135, 472)(136, 441)(137, 490)(138, 475)(139, 445)(140, 498)(141, 500)(142, 502)(143, 448)(144, 476)(145, 482)(146, 450)(147, 484)(148, 453)(149, 478)(150, 487)(151, 459)(152, 503)(153, 504)(154, 497)(155, 462)(156, 488)(157, 494)(158, 464)(159, 496)(160, 467)(161, 473)(162, 480)(163, 489)(164, 501)(165, 477)(166, 485)(167, 492)(168, 499)(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, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1640
Graph:: simple bipartite
	v = 168 e = 336 f = 126
	degree seq :: [ 4^168 ]

E22.1639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^21 ]
Map:: polytopal non-degenerate
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 10, 178)(6, 174, 12, 180)(8, 176, 15, 183)(11, 179, 20, 188)(13, 181, 23, 191)(14, 182, 25, 193)(16, 184, 28, 196)(17, 185, 22, 190)(18, 186, 30, 198)(19, 187, 29, 197)(21, 189, 27, 195)(24, 192, 35, 203)(26, 194, 36, 204)(31, 199, 41, 209)(32, 200, 42, 210)(33, 201, 43, 211)(34, 202, 37, 205)(38, 206, 40, 208)(39, 207, 47, 215)(44, 212, 53, 221)(45, 213, 54, 222)(46, 214, 52, 220)(48, 216, 57, 225)(49, 217, 58, 226)(50, 218, 56, 224)(51, 219, 59, 227)(55, 223, 63, 231)(60, 228, 69, 237)(61, 229, 70, 238)(62, 230, 68, 236)(64, 232, 136, 304)(65, 233, 138, 306)(66, 234, 134, 302)(67, 235, 135, 303)(71, 239, 103, 271)(72, 240, 109, 277)(73, 241, 88, 256)(74, 242, 116, 284)(75, 243, 83, 251)(76, 244, 120, 288)(77, 245, 121, 289)(78, 246, 108, 276)(79, 247, 118, 286)(80, 248, 125, 293)(81, 249, 107, 275)(82, 250, 114, 282)(84, 252, 132, 300)(85, 253, 130, 298)(86, 254, 96, 264)(87, 255, 119, 287)(89, 257, 140, 308)(90, 258, 137, 305)(91, 259, 102, 270)(92, 260, 115, 283)(93, 261, 142, 310)(94, 262, 99, 267)(95, 263, 101, 269)(97, 265, 131, 299)(98, 266, 139, 307)(100, 268, 148, 316)(104, 272, 149, 317)(105, 273, 150, 318)(106, 274, 151, 319)(110, 278, 152, 320)(111, 279, 153, 321)(112, 280, 154, 322)(113, 281, 155, 323)(117, 285, 156, 324)(122, 290, 157, 325)(123, 291, 158, 326)(124, 292, 159, 327)(126, 294, 160, 328)(127, 295, 161, 329)(128, 296, 162, 330)(129, 297, 133, 301)(141, 309, 164, 332)(143, 311, 163, 331)(144, 312, 168, 336)(145, 313, 167, 335)(146, 314, 165, 333)(147, 315, 166, 334)(337, 505, 339, 507)(338, 506, 341, 509)(340, 508, 344, 512)(342, 510, 347, 515)(343, 511, 349, 517)(345, 513, 352, 520)(346, 514, 354, 522)(348, 516, 357, 525)(350, 518, 360, 528)(351, 519, 362, 530)(353, 521, 365, 533)(355, 523, 367, 535)(356, 524, 368, 536)(358, 526, 361, 529)(359, 527, 369, 537)(363, 531, 373, 541)(364, 532, 374, 542)(366, 534, 375, 543)(370, 538, 380, 548)(371, 539, 381, 549)(372, 540, 382, 550)(376, 544, 384, 552)(377, 545, 385, 553)(378, 546, 386, 554)(379, 547, 387, 555)(383, 551, 391, 559)(388, 556, 396, 564)(389, 557, 397, 565)(390, 558, 398, 566)(392, 560, 400, 568)(393, 561, 401, 569)(394, 562, 402, 570)(395, 563, 403, 571)(399, 567, 469, 637)(404, 572, 477, 645)(405, 573, 480, 648)(406, 574, 482, 650)(407, 575, 419, 587)(408, 576, 424, 592)(409, 577, 411, 579)(410, 578, 432, 600)(412, 580, 438, 606)(413, 581, 439, 607)(414, 582, 422, 590)(415, 583, 444, 612)(416, 584, 445, 613)(417, 585, 427, 595)(418, 586, 443, 611)(420, 588, 451, 619)(421, 589, 452, 620)(423, 591, 437, 605)(425, 593, 455, 623)(426, 594, 456, 624)(428, 596, 430, 598)(429, 597, 457, 625)(431, 599, 435, 603)(433, 601, 450, 618)(434, 602, 454, 622)(436, 604, 461, 629)(440, 608, 467, 635)(441, 609, 468, 636)(442, 610, 466, 634)(446, 614, 475, 643)(447, 615, 476, 644)(448, 616, 473, 641)(449, 617, 478, 646)(453, 621, 484, 652)(458, 626, 487, 655)(459, 627, 485, 653)(460, 628, 486, 654)(462, 630, 490, 658)(463, 631, 488, 656)(464, 632, 489, 657)(465, 633, 491, 659)(470, 638, 499, 667)(471, 639, 492, 660)(472, 640, 502, 670)(474, 642, 503, 671)(479, 647, 495, 663)(481, 649, 493, 661)(483, 651, 494, 662)(496, 664, 501, 669)(497, 665, 504, 672)(498, 666, 500, 668)
	L = (1, 340)(2, 342)(3, 344)(4, 337)(5, 347)(6, 338)(7, 350)(8, 339)(9, 353)(10, 355)(11, 341)(12, 358)(13, 360)(14, 343)(15, 363)(16, 365)(17, 345)(18, 367)(19, 346)(20, 364)(21, 361)(22, 348)(23, 370)(24, 349)(25, 357)(26, 373)(27, 351)(28, 356)(29, 352)(30, 376)(31, 354)(32, 374)(33, 380)(34, 359)(35, 372)(36, 371)(37, 362)(38, 368)(39, 384)(40, 366)(41, 378)(42, 377)(43, 388)(44, 369)(45, 382)(46, 381)(47, 392)(48, 375)(49, 386)(50, 385)(51, 396)(52, 379)(53, 390)(54, 389)(55, 400)(56, 383)(57, 394)(58, 393)(59, 404)(60, 387)(61, 398)(62, 397)(63, 470)(64, 391)(65, 402)(66, 401)(67, 477)(68, 395)(69, 406)(70, 405)(71, 418)(72, 415)(73, 431)(74, 428)(75, 435)(76, 423)(77, 421)(78, 427)(79, 408)(80, 426)(81, 422)(82, 407)(83, 443)(84, 433)(85, 413)(86, 417)(87, 412)(88, 444)(89, 434)(90, 416)(91, 414)(92, 410)(93, 441)(94, 432)(95, 409)(96, 430)(97, 420)(98, 425)(99, 411)(100, 447)(101, 438)(102, 437)(103, 452)(104, 442)(105, 429)(106, 440)(107, 419)(108, 424)(109, 456)(110, 448)(111, 436)(112, 446)(113, 459)(114, 451)(115, 450)(116, 439)(117, 463)(118, 455)(119, 454)(120, 445)(121, 468)(122, 460)(123, 449)(124, 458)(125, 476)(126, 464)(127, 453)(128, 462)(129, 481)(130, 467)(131, 466)(132, 457)(133, 499)(134, 399)(135, 501)(136, 474)(137, 475)(138, 472)(139, 473)(140, 461)(141, 403)(142, 485)(143, 483)(144, 482)(145, 465)(146, 480)(147, 479)(148, 488)(149, 478)(150, 487)(151, 486)(152, 484)(153, 490)(154, 489)(155, 493)(156, 496)(157, 491)(158, 495)(159, 494)(160, 492)(161, 498)(162, 497)(163, 469)(164, 504)(165, 471)(166, 503)(167, 502)(168, 500)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1641
Graph:: simple bipartite
	v = 168 e = 336 f = 126
	degree seq :: [ 4^168 ]

E22.1640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = D14 x S4 (small group id <336, 212>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 169, 2, 170, 7, 175, 5, 173)(3, 171, 11, 179, 29, 197, 13, 181)(4, 172, 15, 183, 38, 206, 16, 184)(6, 174, 19, 187, 27, 195, 9, 177)(8, 176, 23, 191, 53, 221, 25, 193)(10, 178, 28, 196, 51, 219, 21, 189)(12, 180, 33, 201, 69, 237, 34, 202)(14, 182, 37, 205, 50, 218, 31, 199)(17, 185, 42, 210, 79, 247, 43, 211)(18, 186, 22, 190, 52, 220, 45, 213)(20, 188, 47, 215, 83, 251, 49, 217)(24, 192, 57, 225, 40, 208, 58, 226)(26, 194, 61, 229, 44, 212, 55, 223)(30, 198, 65, 233, 86, 254, 67, 235)(32, 200, 48, 216, 85, 253, 62, 230)(35, 203, 72, 240, 84, 252, 73, 241)(36, 204, 64, 232, 87, 255, 75, 243)(39, 207, 78, 246, 88, 256, 56, 224)(41, 209, 77, 245, 89, 257, 63, 231)(46, 214, 60, 228, 90, 258, 82, 250)(54, 222, 91, 259, 81, 249, 93, 261)(59, 227, 97, 265, 80, 248, 98, 266)(66, 234, 104, 272, 71, 239, 105, 273)(68, 236, 108, 276, 74, 242, 102, 270)(70, 238, 109, 277, 115, 283, 103, 271)(76, 244, 107, 275, 116, 284, 112, 280)(92, 260, 120, 288, 96, 264, 121, 289)(94, 262, 124, 292, 99, 267, 118, 286)(95, 263, 125, 293, 113, 281, 119, 287)(100, 268, 123, 291, 114, 282, 128, 296)(101, 269, 129, 297, 111, 279, 131, 299)(106, 274, 135, 303, 110, 278, 136, 304)(117, 285, 141, 309, 127, 295, 143, 311)(122, 290, 147, 315, 126, 294, 148, 316)(130, 298, 156, 324, 134, 302, 157, 325)(132, 300, 160, 328, 137, 305, 154, 322)(133, 301, 161, 329, 139, 307, 155, 323)(138, 306, 159, 327, 140, 308, 164, 332)(142, 310, 166, 334, 146, 314, 167, 335)(144, 312, 158, 326, 149, 317, 162, 330)(145, 313, 168, 336, 151, 319, 165, 333)(150, 318, 163, 331, 152, 320, 153, 321)(337, 505, 339, 507)(338, 506, 344, 512)(340, 508, 350, 518)(341, 509, 353, 521)(342, 510, 348, 516)(343, 511, 356, 524)(345, 513, 362, 530)(346, 514, 360, 528)(347, 515, 366, 534)(349, 517, 371, 539)(351, 519, 375, 543)(352, 520, 376, 544)(354, 522, 380, 548)(355, 523, 382, 550)(357, 525, 386, 554)(358, 526, 384, 552)(359, 527, 390, 558)(361, 529, 395, 563)(363, 531, 398, 566)(364, 532, 400, 568)(365, 533, 399, 567)(367, 535, 404, 572)(368, 536, 402, 570)(369, 537, 406, 574)(370, 538, 407, 575)(372, 540, 410, 578)(373, 541, 412, 580)(374, 542, 411, 579)(377, 545, 415, 583)(378, 546, 416, 584)(379, 547, 417, 585)(381, 549, 405, 573)(383, 551, 420, 588)(385, 553, 422, 590)(387, 555, 424, 592)(388, 556, 426, 594)(389, 557, 425, 593)(391, 559, 430, 598)(392, 560, 428, 596)(393, 561, 431, 599)(394, 562, 432, 600)(396, 564, 435, 603)(397, 565, 436, 604)(401, 569, 437, 605)(403, 571, 442, 610)(408, 576, 446, 614)(409, 577, 447, 615)(413, 581, 419, 587)(414, 582, 449, 617)(418, 586, 450, 618)(421, 589, 451, 619)(423, 591, 452, 620)(427, 595, 453, 621)(429, 597, 458, 626)(433, 601, 462, 630)(434, 602, 463, 631)(438, 606, 468, 636)(439, 607, 466, 634)(440, 608, 469, 637)(441, 609, 470, 638)(443, 611, 473, 641)(444, 612, 474, 642)(445, 613, 475, 643)(448, 616, 476, 644)(454, 622, 480, 648)(455, 623, 478, 646)(456, 624, 481, 649)(457, 625, 482, 650)(459, 627, 485, 653)(460, 628, 486, 654)(461, 629, 487, 655)(464, 632, 488, 656)(465, 633, 489, 657)(467, 635, 494, 662)(471, 639, 498, 666)(472, 640, 499, 667)(477, 645, 496, 664)(479, 647, 500, 668)(483, 651, 495, 663)(484, 652, 490, 658)(491, 659, 504, 672)(492, 660, 503, 671)(493, 661, 501, 669)(497, 665, 502, 670)
	L = (1, 340)(2, 345)(3, 348)(4, 342)(5, 354)(6, 337)(7, 357)(8, 360)(9, 346)(10, 338)(11, 367)(12, 350)(13, 372)(14, 339)(15, 341)(16, 377)(17, 375)(18, 351)(19, 352)(20, 384)(21, 358)(22, 343)(23, 391)(24, 362)(25, 396)(26, 344)(27, 399)(28, 363)(29, 398)(30, 402)(31, 368)(32, 347)(33, 349)(34, 383)(35, 406)(36, 369)(37, 370)(38, 381)(39, 380)(40, 382)(41, 355)(42, 397)(43, 418)(44, 353)(45, 413)(46, 415)(47, 373)(48, 386)(49, 423)(50, 356)(51, 425)(52, 387)(53, 424)(54, 428)(55, 392)(56, 359)(57, 361)(58, 378)(59, 431)(60, 393)(61, 394)(62, 400)(63, 364)(64, 365)(65, 438)(66, 404)(67, 443)(68, 366)(69, 411)(70, 410)(71, 412)(72, 444)(73, 448)(74, 371)(75, 419)(76, 420)(77, 374)(78, 379)(79, 376)(80, 432)(81, 449)(82, 414)(83, 405)(84, 407)(85, 385)(86, 451)(87, 421)(88, 426)(89, 388)(90, 389)(91, 454)(92, 430)(93, 459)(94, 390)(95, 435)(96, 436)(97, 460)(98, 464)(99, 395)(100, 416)(101, 466)(102, 439)(103, 401)(104, 403)(105, 408)(106, 469)(107, 440)(108, 441)(109, 409)(110, 470)(111, 475)(112, 445)(113, 450)(114, 417)(115, 452)(116, 422)(117, 478)(118, 455)(119, 427)(120, 429)(121, 433)(122, 481)(123, 456)(124, 457)(125, 434)(126, 482)(127, 487)(128, 461)(129, 490)(130, 468)(131, 495)(132, 437)(133, 473)(134, 474)(135, 496)(136, 500)(137, 442)(138, 446)(139, 476)(140, 447)(141, 498)(142, 480)(143, 499)(144, 453)(145, 485)(146, 486)(147, 494)(148, 489)(149, 458)(150, 462)(151, 488)(152, 463)(153, 504)(154, 491)(155, 465)(156, 467)(157, 471)(158, 503)(159, 492)(160, 493)(161, 472)(162, 501)(163, 502)(164, 497)(165, 477)(166, 479)(167, 483)(168, 484)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1638
Graph:: simple bipartite
	v = 126 e = 336 f = 168
	degree seq :: [ 4^84, 8^42 ]

E22.1641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = (C7 x A4) : C2 (small group id <168, 46>)
Aut   = C2 x ((C7 x A4) : C2) (small group id <336, 215>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y3, 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^-1 * 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, 169, 2, 170, 6, 174, 5, 173)(3, 171, 9, 177, 19, 187, 11, 179)(4, 172, 12, 180, 15, 183, 8, 176)(7, 175, 16, 184, 24, 192, 18, 186)(10, 178, 22, 190, 14, 182, 21, 189)(13, 181, 25, 193, 17, 185, 26, 194)(20, 188, 29, 197, 32, 200, 31, 199)(23, 191, 33, 201, 30, 198, 34, 202)(27, 195, 37, 205, 36, 204, 38, 206)(28, 196, 39, 207, 35, 203, 40, 208)(41, 209, 49, 217, 44, 212, 50, 218)(42, 210, 51, 219, 43, 211, 52, 220)(45, 213, 53, 221, 48, 216, 54, 222)(46, 214, 55, 223, 47, 215, 56, 224)(57, 225, 65, 233, 60, 228, 66, 234)(58, 226, 67, 235, 59, 227, 68, 236)(61, 229, 69, 237, 64, 232, 70, 238)(62, 230, 71, 239, 63, 231, 72, 240)(73, 241, 81, 249, 76, 244, 86, 254)(74, 242, 79, 247, 75, 243, 77, 245)(78, 246, 115, 283, 82, 250, 117, 285)(80, 248, 119, 287, 85, 253, 113, 281)(83, 251, 133, 301, 89, 257, 125, 293)(84, 252, 121, 289, 90, 258, 129, 297)(87, 255, 138, 306, 91, 259, 131, 299)(88, 256, 123, 291, 92, 260, 127, 295)(93, 261, 147, 315, 95, 263, 145, 313)(94, 262, 134, 302, 96, 264, 136, 304)(97, 265, 151, 319, 99, 267, 149, 317)(98, 266, 141, 309, 100, 268, 143, 311)(101, 269, 159, 327, 103, 271, 157, 325)(102, 270, 153, 321, 104, 272, 155, 323)(105, 273, 167, 335, 107, 275, 165, 333)(106, 274, 161, 329, 108, 276, 163, 331)(109, 277, 166, 334, 111, 279, 164, 332)(110, 278, 168, 336, 112, 280, 162, 330)(114, 282, 156, 324, 118, 286, 158, 326)(116, 284, 154, 322, 120, 288, 160, 328)(122, 290, 152, 320, 140, 308, 142, 310)(124, 292, 137, 305, 139, 307, 146, 314)(126, 294, 150, 318, 130, 298, 144, 312)(128, 296, 148, 316, 132, 300, 135, 303)(337, 505, 339, 507)(338, 506, 343, 511)(340, 508, 346, 514)(341, 509, 349, 517)(342, 510, 350, 518)(344, 512, 353, 521)(345, 513, 356, 524)(347, 515, 359, 527)(348, 516, 360, 528)(351, 519, 355, 523)(352, 520, 363, 531)(354, 522, 364, 532)(357, 525, 366, 534)(358, 526, 368, 536)(361, 529, 371, 539)(362, 530, 372, 540)(365, 533, 377, 545)(367, 535, 378, 546)(369, 537, 379, 547)(370, 538, 380, 548)(373, 541, 381, 549)(374, 542, 382, 550)(375, 543, 383, 551)(376, 544, 384, 552)(385, 553, 393, 561)(386, 554, 394, 562)(387, 555, 395, 563)(388, 556, 396, 564)(389, 557, 397, 565)(390, 558, 398, 566)(391, 559, 399, 567)(392, 560, 400, 568)(401, 569, 409, 577)(402, 570, 410, 578)(403, 571, 411, 579)(404, 572, 412, 580)(405, 573, 449, 617)(406, 574, 451, 619)(407, 575, 453, 621)(408, 576, 455, 623)(413, 581, 457, 625)(414, 582, 459, 627)(415, 583, 461, 629)(416, 584, 463, 631)(417, 585, 465, 633)(418, 586, 467, 635)(419, 587, 470, 638)(420, 588, 472, 640)(421, 589, 474, 642)(422, 590, 469, 637)(423, 591, 477, 645)(424, 592, 479, 647)(425, 593, 481, 649)(426, 594, 483, 651)(427, 595, 485, 653)(428, 596, 487, 655)(429, 597, 489, 657)(430, 598, 491, 659)(431, 599, 493, 661)(432, 600, 495, 663)(433, 601, 497, 665)(434, 602, 499, 667)(435, 603, 501, 669)(436, 604, 503, 671)(437, 605, 504, 672)(438, 606, 498, 666)(439, 607, 500, 668)(440, 608, 502, 670)(441, 609, 490, 658)(442, 610, 496, 664)(443, 611, 494, 662)(444, 612, 492, 660)(445, 613, 478, 646)(446, 614, 488, 656)(447, 615, 486, 654)(448, 616, 480, 648)(450, 618, 482, 650)(452, 620, 473, 641)(454, 622, 471, 639)(456, 624, 484, 652)(458, 626, 475, 643)(460, 628, 462, 630)(464, 632, 476, 644)(466, 634, 468, 636)
	L = (1, 340)(2, 344)(3, 346)(4, 337)(5, 348)(6, 351)(7, 353)(8, 338)(9, 357)(10, 339)(11, 358)(12, 341)(13, 360)(14, 355)(15, 342)(16, 361)(17, 343)(18, 362)(19, 350)(20, 366)(21, 345)(22, 347)(23, 368)(24, 349)(25, 352)(26, 354)(27, 371)(28, 372)(29, 369)(30, 356)(31, 370)(32, 359)(33, 365)(34, 367)(35, 363)(36, 364)(37, 375)(38, 376)(39, 373)(40, 374)(41, 379)(42, 380)(43, 377)(44, 378)(45, 383)(46, 384)(47, 381)(48, 382)(49, 387)(50, 388)(51, 385)(52, 386)(53, 391)(54, 392)(55, 389)(56, 390)(57, 395)(58, 396)(59, 393)(60, 394)(61, 399)(62, 400)(63, 397)(64, 398)(65, 403)(66, 404)(67, 401)(68, 402)(69, 407)(70, 408)(71, 405)(72, 406)(73, 411)(74, 412)(75, 409)(76, 410)(77, 422)(78, 421)(79, 417)(80, 418)(81, 415)(82, 416)(83, 426)(84, 425)(85, 414)(86, 413)(87, 428)(88, 427)(89, 420)(90, 419)(91, 424)(92, 423)(93, 432)(94, 431)(95, 430)(96, 429)(97, 436)(98, 435)(99, 434)(100, 433)(101, 440)(102, 439)(103, 438)(104, 437)(105, 444)(106, 443)(107, 442)(108, 441)(109, 448)(110, 447)(111, 446)(112, 445)(113, 453)(114, 456)(115, 455)(116, 454)(117, 449)(118, 452)(119, 451)(120, 450)(121, 469)(122, 466)(123, 474)(124, 464)(125, 465)(126, 476)(127, 467)(128, 460)(129, 461)(130, 458)(131, 463)(132, 475)(133, 457)(134, 483)(135, 473)(136, 481)(137, 471)(138, 459)(139, 468)(140, 462)(141, 487)(142, 480)(143, 485)(144, 478)(145, 472)(146, 484)(147, 470)(148, 482)(149, 479)(150, 488)(151, 477)(152, 486)(153, 495)(154, 492)(155, 493)(156, 490)(157, 491)(158, 496)(159, 489)(160, 494)(161, 503)(162, 500)(163, 501)(164, 498)(165, 499)(166, 504)(167, 497)(168, 502)(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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1639
Graph:: simple bipartite
	v = 126 e = 336 f = 168
	degree seq :: [ 4^84, 8^42 ]

E22.1642 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 12})
Quotient :: halfedge
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ X2^2, (X1^-2 * X2 * X1^-1)^2, (X1 * X2)^6, X1^12, X1 * X2 * X1^2 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2, X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2, (X2 * X1 * X2 * X1 * X2 * X1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 75, 74, 42, 22, 10, 4)(3, 7, 15, 31, 55, 95, 122, 79, 45, 24, 18, 8)(6, 13, 27, 21, 41, 72, 119, 125, 77, 44, 30, 14)(9, 19, 38, 66, 112, 123, 76, 48, 26, 12, 25, 20)(16, 33, 58, 37, 65, 110, 127, 164, 150, 96, 61, 34)(17, 35, 62, 78, 126, 162, 149, 99, 57, 32, 56, 36)(28, 50, 87, 54, 94, 147, 161, 158, 121, 73, 90, 51)(29, 52, 91, 124, 160, 153, 120, 137, 86, 49, 85, 53)(39, 68, 81, 46, 80, 128, 84, 134, 168, 156, 117, 69)(40, 70, 83, 47, 82, 131, 159, 155, 114, 67, 113, 71)(59, 101, 152, 105, 145, 92, 144, 166, 135, 111, 133, 102)(60, 103, 130, 165, 138, 116, 141, 89, 140, 100, 151, 104)(63, 107, 143, 97, 129, 93, 146, 115, 136, 163, 154, 108)(64, 109, 142, 98, 132, 167, 157, 118, 148, 106, 139, 88)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 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, 84)(50, 88)(51, 89)(52, 92)(53, 93)(55, 96)(56, 97)(57, 98)(58, 100)(61, 105)(62, 106)(65, 111)(68, 115)(69, 116)(70, 118)(71, 101)(72, 120)(74, 119)(75, 122)(77, 124)(79, 127)(80, 129)(81, 130)(82, 132)(83, 133)(85, 135)(86, 136)(87, 138)(90, 142)(91, 143)(94, 148)(95, 149)(99, 146)(102, 137)(103, 147)(104, 128)(107, 134)(108, 153)(109, 155)(110, 141)(112, 156)(113, 139)(114, 145)(117, 154)(121, 151)(123, 159)(125, 161)(126, 163)(131, 166)(140, 168)(144, 164)(150, 165)(152, 160)(157, 162)(158, 167)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.1643 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 12})
Quotient :: halfedge
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X2 * X1^2 * X2 * X1)^2, X1^-1 * X2 * X1^-3 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2, (X2 * X1^2 * X2 * X1^-1 * X2 * X1^-1)^2, X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1^-3 * X2 * X1 * X2 * X1^-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, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 84, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 90, 73, 41)(22, 42, 74, 63, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 113, 75, 53)(30, 56, 94, 132, 96, 57)(35, 65, 104, 121, 85, 49)(37, 68, 76, 55, 93, 69)(46, 81, 117, 111, 72, 82)(54, 92, 129, 147, 115, 79)(59, 97, 64, 103, 118, 98)(60, 99, 136, 155, 131, 100)(67, 106, 139, 152, 140, 107)(83, 119, 150, 161, 143, 112)(86, 122, 91, 128, 108, 123)(87, 124, 153, 133, 101, 125)(95, 116, 148, 138, 105, 126)(102, 120, 144, 162, 154, 130)(109, 134, 156, 163, 149, 141)(110, 114, 145, 135, 157, 137)(127, 146, 142, 160, 164, 151)(158, 165, 159, 166, 168, 167)
	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, 101)(62, 102)(65, 105)(66, 81)(68, 108)(69, 109)(70, 78)(71, 110)(73, 106)(74, 112)(77, 114)(80, 116)(82, 118)(85, 120)(88, 126)(89, 127)(92, 130)(93, 131)(94, 133)(96, 134)(97, 135)(98, 129)(99, 121)(100, 137)(103, 132)(104, 128)(107, 125)(111, 142)(113, 144)(115, 146)(117, 149)(119, 151)(122, 152)(123, 150)(124, 147)(136, 158)(138, 159)(139, 155)(140, 160)(141, 143)(145, 163)(148, 161)(153, 165)(154, 166)(156, 167)(157, 162)(164, 168)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 6^28 ]

E22.1644 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ X1^2, X2^6, (X1 * X2 * X1 * X2^2)^2, X2^-1 * X1 * X2^-3 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2, (X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1)^2, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-3 * X1 * X2 * X1 * X2^-1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 35)(19, 36)(20, 38)(22, 42)(23, 44)(25, 48)(26, 49)(27, 51)(30, 54)(32, 60)(33, 52)(34, 62)(37, 68)(39, 46)(40, 71)(41, 43)(45, 79)(47, 81)(50, 87)(53, 90)(55, 93)(56, 94)(57, 76)(58, 96)(59, 98)(61, 101)(63, 105)(64, 99)(65, 84)(66, 106)(67, 107)(69, 103)(70, 102)(72, 111)(73, 108)(74, 112)(75, 113)(77, 115)(78, 117)(80, 120)(82, 124)(83, 118)(85, 125)(86, 126)(88, 122)(89, 121)(91, 130)(92, 127)(95, 123)(97, 134)(100, 128)(104, 114)(109, 119)(110, 142)(116, 146)(129, 154)(131, 155)(132, 156)(133, 145)(135, 152)(136, 157)(137, 159)(138, 158)(139, 151)(140, 147)(141, 160)(143, 161)(144, 162)(148, 163)(149, 165)(150, 164)(153, 166)(167, 168)(169, 171, 176, 186, 178, 172)(170, 173, 180, 193, 182, 174)(175, 183, 198, 225, 200, 184)(177, 187, 205, 237, 207, 188)(179, 190, 211, 244, 213, 191)(181, 194, 218, 256, 220, 195)(185, 201, 229, 270, 231, 202)(189, 208, 240, 264, 241, 209)(192, 214, 248, 289, 250, 215)(196, 221, 259, 283, 260, 222)(197, 223, 206, 238, 263, 224)(199, 226, 265, 303, 267, 227)(203, 232, 254, 217, 253, 233)(204, 234, 252, 216, 251, 235)(210, 242, 219, 257, 282, 243)(212, 245, 284, 315, 286, 246)(228, 268, 281, 313, 304, 269)(230, 271, 305, 278, 239, 272)(236, 276, 308, 323, 309, 277)(247, 287, 262, 301, 316, 288)(249, 290, 317, 297, 258, 291)(255, 295, 320, 329, 321, 296)(261, 299, 266, 298, 274, 300)(273, 306, 324, 333, 319, 294)(275, 292, 318, 330, 327, 307)(279, 293, 312, 280, 311, 285)(302, 325, 310, 328, 335, 326)(314, 331, 322, 334, 336, 332)
	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) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 168 f = 14
	degree seq :: [ 2^84, 6^28 ]

E22.1645 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, (X2^2 * X1^-1)^2, X1^6, X2^-2 * X1^2 * X2^-1 * X1^2 * X2^-1 * X1^-2, X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^2 * X2^-1 * X1^2, X1^-1 * X2^-1 * X1^2 * X2^2 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 13, 4)(3, 9, 23, 49, 28, 11)(5, 14, 33, 45, 20, 7)(8, 21, 46, 77, 39, 17)(10, 25, 54, 89, 47, 22)(12, 29, 60, 104, 64, 31)(15, 30, 62, 87, 68, 34)(18, 40, 78, 55, 71, 36)(19, 42, 81, 123, 79, 41)(24, 52, 86, 66, 94, 50)(26, 48, 75, 117, 96, 53)(27, 57, 101, 124, 103, 58)(32, 37, 72, 115, 82, 65)(35, 43, 80, 113, 107, 63)(38, 74, 118, 152, 116, 73)(44, 84, 128, 153, 130, 85)(51, 95, 119, 90, 133, 91)(56, 97, 138, 150, 114, 99)(59, 92, 135, 105, 61, 70)(67, 110, 148, 155, 139, 109)(69, 111, 144, 106, 126, 83)(76, 120, 108, 146, 157, 121)(88, 132, 163, 143, 102, 131)(93, 137, 159, 127, 160, 136)(98, 122, 158, 140, 162, 129)(100, 141, 154, 145, 164, 134)(112, 147, 156, 125, 151, 149)(142, 161, 167, 166, 168, 165)(169, 171, 178, 194, 224, 268, 310, 280, 237, 203, 183, 173)(170, 175, 187, 211, 251, 295, 329, 302, 258, 216, 190, 176)(172, 180, 198, 231, 276, 315, 333, 308, 265, 221, 192, 177)(174, 185, 206, 243, 287, 323, 335, 327, 292, 248, 209, 186)(179, 195, 182, 202, 235, 279, 317, 320, 309, 267, 223, 193)(181, 200, 220, 264, 296, 330, 336, 331, 314, 275, 229, 197)(184, 204, 238, 281, 269, 311, 334, 316, 321, 285, 241, 205)(188, 212, 189, 215, 256, 301, 332, 303, 328, 294, 250, 210)(191, 218, 261, 306, 326, 291, 324, 288, 245, 230, 199, 219)(196, 227, 239, 282, 240, 284, 319, 298, 278, 236, 270, 225)(201, 226, 266, 222, 246, 289, 322, 286, 272, 312, 277, 234)(207, 244, 208, 247, 290, 271, 305, 262, 307, 263, 232, 242)(213, 254, 233, 274, 228, 273, 313, 325, 300, 257, 297, 252)(214, 253, 293, 249, 283, 318, 304, 260, 217, 259, 299, 255)
	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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: chiral
Dual of E22.1647
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 168 f = 84
	degree seq :: [ 6^28, 12^14 ]

E22.1646 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ X2^2, (X1^-2 * X2 * X1^-1)^2, (X1 * X2)^6, X1^12, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2, X1 * X2 * X1^2 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 43, 75, 74, 42, 22, 10, 4)(3, 7, 15, 31, 55, 95, 122, 79, 45, 24, 18, 8)(6, 13, 27, 21, 41, 72, 119, 125, 77, 44, 30, 14)(9, 19, 38, 66, 112, 123, 76, 48, 26, 12, 25, 20)(16, 33, 58, 37, 65, 110, 127, 164, 150, 96, 61, 34)(17, 35, 62, 78, 126, 162, 149, 99, 57, 32, 56, 36)(28, 50, 87, 54, 94, 147, 161, 158, 121, 73, 90, 51)(29, 52, 91, 124, 160, 153, 120, 137, 86, 49, 85, 53)(39, 68, 81, 46, 80, 128, 84, 134, 168, 156, 117, 69)(40, 70, 83, 47, 82, 131, 159, 155, 114, 67, 113, 71)(59, 101, 152, 105, 145, 92, 144, 166, 135, 111, 133, 102)(60, 103, 130, 165, 138, 116, 141, 89, 140, 100, 151, 104)(63, 107, 143, 97, 129, 93, 146, 115, 136, 163, 154, 108)(64, 109, 142, 98, 132, 167, 157, 118, 148, 106, 139, 88)(169, 171)(170, 174)(172, 177)(173, 180)(175, 184)(176, 185)(178, 189)(179, 192)(181, 196)(182, 197)(183, 200)(186, 205)(187, 207)(188, 208)(190, 199)(191, 212)(193, 214)(194, 215)(195, 217)(198, 222)(201, 227)(202, 228)(203, 231)(204, 232)(206, 235)(209, 241)(210, 234)(211, 244)(213, 246)(216, 252)(218, 256)(219, 257)(220, 260)(221, 261)(223, 264)(224, 265)(225, 266)(226, 268)(229, 273)(230, 274)(233, 279)(236, 283)(237, 284)(238, 286)(239, 269)(240, 288)(242, 287)(243, 290)(245, 292)(247, 295)(248, 297)(249, 298)(250, 300)(251, 301)(253, 303)(254, 304)(255, 306)(258, 310)(259, 311)(262, 316)(263, 317)(267, 314)(270, 305)(271, 315)(272, 296)(275, 302)(276, 321)(277, 323)(278, 309)(280, 324)(281, 307)(282, 313)(285, 322)(289, 319)(291, 327)(293, 329)(294, 331)(299, 334)(308, 336)(312, 332)(318, 333)(320, 328)(325, 330)(326, 335)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 168 f = 28
	degree seq :: [ 2^84, 12^14 ]

E22.1647 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ X1^2, X2^6, (X1 * X2 * X1 * X2^2)^2, X2^-1 * X1 * X2^-3 * X1 * X2^-1 * X1 * X2 * X1 * X2^-2, (X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1)^2, X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-3 * X1 * X2 * X1 * X2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 17, 185)(10, 178, 21, 189)(12, 180, 24, 192)(14, 182, 28, 196)(15, 183, 29, 197)(16, 184, 31, 199)(18, 186, 35, 203)(19, 187, 36, 204)(20, 188, 38, 206)(22, 190, 42, 210)(23, 191, 44, 212)(25, 193, 48, 216)(26, 194, 49, 217)(27, 195, 51, 219)(30, 198, 54, 222)(32, 200, 60, 228)(33, 201, 52, 220)(34, 202, 62, 230)(37, 205, 68, 236)(39, 207, 46, 214)(40, 208, 71, 239)(41, 209, 43, 211)(45, 213, 79, 247)(47, 215, 81, 249)(50, 218, 87, 255)(53, 221, 90, 258)(55, 223, 93, 261)(56, 224, 94, 262)(57, 225, 76, 244)(58, 226, 96, 264)(59, 227, 98, 266)(61, 229, 101, 269)(63, 231, 105, 273)(64, 232, 99, 267)(65, 233, 84, 252)(66, 234, 106, 274)(67, 235, 107, 275)(69, 237, 103, 271)(70, 238, 102, 270)(72, 240, 111, 279)(73, 241, 108, 276)(74, 242, 112, 280)(75, 243, 113, 281)(77, 245, 115, 283)(78, 246, 117, 285)(80, 248, 120, 288)(82, 250, 124, 292)(83, 251, 118, 286)(85, 253, 125, 293)(86, 254, 126, 294)(88, 256, 122, 290)(89, 257, 121, 289)(91, 259, 130, 298)(92, 260, 127, 295)(95, 263, 123, 291)(97, 265, 134, 302)(100, 268, 128, 296)(104, 272, 114, 282)(109, 277, 119, 287)(110, 278, 142, 310)(116, 284, 146, 314)(129, 297, 154, 322)(131, 299, 155, 323)(132, 300, 156, 324)(133, 301, 145, 313)(135, 303, 152, 320)(136, 304, 157, 325)(137, 305, 159, 327)(138, 306, 158, 326)(139, 307, 151, 319)(140, 308, 147, 315)(141, 309, 160, 328)(143, 311, 161, 329)(144, 312, 162, 330)(148, 316, 163, 331)(149, 317, 165, 333)(150, 318, 164, 332)(153, 321, 166, 334)(167, 335, 168, 336)
	L = (1, 171)(2, 173)(3, 176)(4, 169)(5, 180)(6, 170)(7, 183)(8, 186)(9, 187)(10, 172)(11, 190)(12, 193)(13, 194)(14, 174)(15, 198)(16, 175)(17, 201)(18, 178)(19, 205)(20, 177)(21, 208)(22, 211)(23, 179)(24, 214)(25, 182)(26, 218)(27, 181)(28, 221)(29, 223)(30, 225)(31, 226)(32, 184)(33, 229)(34, 185)(35, 232)(36, 234)(37, 237)(38, 238)(39, 188)(40, 240)(41, 189)(42, 242)(43, 244)(44, 245)(45, 191)(46, 248)(47, 192)(48, 251)(49, 253)(50, 256)(51, 257)(52, 195)(53, 259)(54, 196)(55, 206)(56, 197)(57, 200)(58, 265)(59, 199)(60, 268)(61, 270)(62, 271)(63, 202)(64, 254)(65, 203)(66, 252)(67, 204)(68, 276)(69, 207)(70, 263)(71, 272)(72, 264)(73, 209)(74, 219)(75, 210)(76, 213)(77, 284)(78, 212)(79, 287)(80, 289)(81, 290)(82, 215)(83, 235)(84, 216)(85, 233)(86, 217)(87, 295)(88, 220)(89, 282)(90, 291)(91, 283)(92, 222)(93, 299)(94, 301)(95, 224)(96, 241)(97, 303)(98, 298)(99, 227)(100, 281)(101, 228)(102, 231)(103, 305)(104, 230)(105, 306)(106, 300)(107, 292)(108, 308)(109, 236)(110, 239)(111, 293)(112, 311)(113, 313)(114, 243)(115, 260)(116, 315)(117, 279)(118, 246)(119, 262)(120, 247)(121, 250)(122, 317)(123, 249)(124, 318)(125, 312)(126, 273)(127, 320)(128, 255)(129, 258)(130, 274)(131, 266)(132, 261)(133, 316)(134, 325)(135, 267)(136, 269)(137, 278)(138, 324)(139, 275)(140, 323)(141, 277)(142, 328)(143, 285)(144, 280)(145, 304)(146, 331)(147, 286)(148, 288)(149, 297)(150, 330)(151, 294)(152, 329)(153, 296)(154, 334)(155, 309)(156, 333)(157, 310)(158, 302)(159, 307)(160, 335)(161, 321)(162, 327)(163, 322)(164, 314)(165, 319)(166, 336)(167, 326)(168, 332)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1645
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 84 e = 168 f = 42
	degree seq :: [ 4^84 ]

E22.1648 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, (X2^2 * X1^-1)^2, X1^6, X2^-2 * X1^2 * X2^-1 * X1^2 * X2^-1 * X1^-2, X2^-1 * X1^-1 * X2 * X1 * X2^-1 * X1^2 * X2^-1 * X1^2, X1^-1 * X2^-1 * X1^2 * X2^2 * X1 * X2^-2 * X1^-1 * X2 * X1^-1, X2^12 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 16, 184, 13, 181, 4, 172)(3, 171, 9, 177, 23, 191, 49, 217, 28, 196, 11, 179)(5, 173, 14, 182, 33, 201, 45, 213, 20, 188, 7, 175)(8, 176, 21, 189, 46, 214, 77, 245, 39, 207, 17, 185)(10, 178, 25, 193, 54, 222, 89, 257, 47, 215, 22, 190)(12, 180, 29, 197, 60, 228, 104, 272, 64, 232, 31, 199)(15, 183, 30, 198, 62, 230, 87, 255, 68, 236, 34, 202)(18, 186, 40, 208, 78, 246, 55, 223, 71, 239, 36, 204)(19, 187, 42, 210, 81, 249, 123, 291, 79, 247, 41, 209)(24, 192, 52, 220, 86, 254, 66, 234, 94, 262, 50, 218)(26, 194, 48, 216, 75, 243, 117, 285, 96, 264, 53, 221)(27, 195, 57, 225, 101, 269, 124, 292, 103, 271, 58, 226)(32, 200, 37, 205, 72, 240, 115, 283, 82, 250, 65, 233)(35, 203, 43, 211, 80, 248, 113, 281, 107, 275, 63, 231)(38, 206, 74, 242, 118, 286, 152, 320, 116, 284, 73, 241)(44, 212, 84, 252, 128, 296, 153, 321, 130, 298, 85, 253)(51, 219, 95, 263, 119, 287, 90, 258, 133, 301, 91, 259)(56, 224, 97, 265, 138, 306, 150, 318, 114, 282, 99, 267)(59, 227, 92, 260, 135, 303, 105, 273, 61, 229, 70, 238)(67, 235, 110, 278, 148, 316, 155, 323, 139, 307, 109, 277)(69, 237, 111, 279, 144, 312, 106, 274, 126, 294, 83, 251)(76, 244, 120, 288, 108, 276, 146, 314, 157, 325, 121, 289)(88, 256, 132, 300, 163, 331, 143, 311, 102, 270, 131, 299)(93, 261, 137, 305, 159, 327, 127, 295, 160, 328, 136, 304)(98, 266, 122, 290, 158, 326, 140, 308, 162, 330, 129, 297)(100, 268, 141, 309, 154, 322, 145, 313, 164, 332, 134, 302)(112, 280, 147, 315, 156, 324, 125, 293, 151, 319, 149, 317)(142, 310, 161, 329, 167, 335, 166, 334, 168, 336, 165, 333)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 185)(7, 187)(8, 170)(9, 172)(10, 194)(11, 195)(12, 198)(13, 200)(14, 202)(15, 173)(16, 204)(17, 206)(18, 174)(19, 211)(20, 212)(21, 215)(22, 176)(23, 218)(24, 177)(25, 179)(26, 224)(27, 182)(28, 227)(29, 181)(30, 231)(31, 219)(32, 220)(33, 226)(34, 235)(35, 183)(36, 238)(37, 184)(38, 243)(39, 244)(40, 247)(41, 186)(42, 188)(43, 251)(44, 189)(45, 254)(46, 253)(47, 256)(48, 190)(49, 259)(50, 261)(51, 191)(52, 264)(53, 192)(54, 246)(55, 193)(56, 268)(57, 196)(58, 266)(59, 239)(60, 273)(61, 197)(62, 199)(63, 276)(64, 242)(65, 274)(66, 201)(67, 279)(68, 270)(69, 203)(70, 281)(71, 282)(72, 284)(73, 205)(74, 207)(75, 287)(76, 208)(77, 230)(78, 289)(79, 290)(80, 209)(81, 283)(82, 210)(83, 295)(84, 213)(85, 293)(86, 233)(87, 214)(88, 301)(89, 297)(90, 216)(91, 299)(92, 217)(93, 306)(94, 307)(95, 232)(96, 296)(97, 221)(98, 222)(99, 223)(100, 310)(101, 311)(102, 225)(103, 305)(104, 312)(105, 313)(106, 228)(107, 229)(108, 315)(109, 234)(110, 236)(111, 317)(112, 237)(113, 269)(114, 240)(115, 318)(116, 319)(117, 241)(118, 272)(119, 323)(120, 245)(121, 322)(122, 271)(123, 324)(124, 248)(125, 249)(126, 250)(127, 329)(128, 330)(129, 252)(130, 278)(131, 255)(132, 257)(133, 332)(134, 258)(135, 328)(136, 260)(137, 262)(138, 326)(139, 263)(140, 265)(141, 267)(142, 280)(143, 334)(144, 277)(145, 325)(146, 275)(147, 333)(148, 321)(149, 320)(150, 304)(151, 298)(152, 309)(153, 285)(154, 286)(155, 335)(156, 288)(157, 300)(158, 291)(159, 292)(160, 294)(161, 302)(162, 336)(163, 314)(164, 303)(165, 308)(166, 316)(167, 327)(168, 331)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 28 e = 168 f = 98
	degree seq :: [ 12^28 ]

E22.1649 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
Aut   = (C2 x ((C7 : C3) : C2)) : C2 (small group id <168, 9>)
|r| :: 1
Presentation :: [ X2^2, (X1^-2 * X2 * X1^-1)^2, (X1 * X2)^6, X1^12, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2, X1 * X2 * X1^2 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 ]
Map::
	R = (1, 169, 2, 170, 5, 173, 11, 179, 23, 191, 43, 211, 75, 243, 74, 242, 42, 210, 22, 190, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 31, 199, 55, 223, 95, 263, 122, 290, 79, 247, 45, 213, 24, 192, 18, 186, 8, 176)(6, 174, 13, 181, 27, 195, 21, 189, 41, 209, 72, 240, 119, 287, 125, 293, 77, 245, 44, 212, 30, 198, 14, 182)(9, 177, 19, 187, 38, 206, 66, 234, 112, 280, 123, 291, 76, 244, 48, 216, 26, 194, 12, 180, 25, 193, 20, 188)(16, 184, 33, 201, 58, 226, 37, 205, 65, 233, 110, 278, 127, 295, 164, 332, 150, 318, 96, 264, 61, 229, 34, 202)(17, 185, 35, 203, 62, 230, 78, 246, 126, 294, 162, 330, 149, 317, 99, 267, 57, 225, 32, 200, 56, 224, 36, 204)(28, 196, 50, 218, 87, 255, 54, 222, 94, 262, 147, 315, 161, 329, 158, 326, 121, 289, 73, 241, 90, 258, 51, 219)(29, 197, 52, 220, 91, 259, 124, 292, 160, 328, 153, 321, 120, 288, 137, 305, 86, 254, 49, 217, 85, 253, 53, 221)(39, 207, 68, 236, 81, 249, 46, 214, 80, 248, 128, 296, 84, 252, 134, 302, 168, 336, 156, 324, 117, 285, 69, 237)(40, 208, 70, 238, 83, 251, 47, 215, 82, 250, 131, 299, 159, 327, 155, 323, 114, 282, 67, 235, 113, 281, 71, 239)(59, 227, 101, 269, 152, 320, 105, 273, 145, 313, 92, 260, 144, 312, 166, 334, 135, 303, 111, 279, 133, 301, 102, 270)(60, 228, 103, 271, 130, 298, 165, 333, 138, 306, 116, 284, 141, 309, 89, 257, 140, 308, 100, 268, 151, 319, 104, 272)(63, 231, 107, 275, 143, 311, 97, 265, 129, 297, 93, 261, 146, 314, 115, 283, 136, 304, 163, 331, 154, 322, 108, 276)(64, 232, 109, 277, 142, 310, 98, 266, 132, 300, 167, 335, 157, 325, 118, 286, 148, 316, 106, 274, 139, 307, 88, 256)
	L = (1, 171)(2, 174)(3, 169)(4, 177)(5, 180)(6, 170)(7, 184)(8, 185)(9, 172)(10, 189)(11, 192)(12, 173)(13, 196)(14, 197)(15, 200)(16, 175)(17, 176)(18, 205)(19, 207)(20, 208)(21, 178)(22, 199)(23, 212)(24, 179)(25, 214)(26, 215)(27, 217)(28, 181)(29, 182)(30, 222)(31, 190)(32, 183)(33, 227)(34, 228)(35, 231)(36, 232)(37, 186)(38, 235)(39, 187)(40, 188)(41, 241)(42, 234)(43, 244)(44, 191)(45, 246)(46, 193)(47, 194)(48, 252)(49, 195)(50, 256)(51, 257)(52, 260)(53, 261)(54, 198)(55, 264)(56, 265)(57, 266)(58, 268)(59, 201)(60, 202)(61, 273)(62, 274)(63, 203)(64, 204)(65, 279)(66, 210)(67, 206)(68, 283)(69, 284)(70, 286)(71, 269)(72, 288)(73, 209)(74, 287)(75, 290)(76, 211)(77, 292)(78, 213)(79, 295)(80, 297)(81, 298)(82, 300)(83, 301)(84, 216)(85, 303)(86, 304)(87, 306)(88, 218)(89, 219)(90, 310)(91, 311)(92, 220)(93, 221)(94, 316)(95, 317)(96, 223)(97, 224)(98, 225)(99, 314)(100, 226)(101, 239)(102, 305)(103, 315)(104, 296)(105, 229)(106, 230)(107, 302)(108, 321)(109, 323)(110, 309)(111, 233)(112, 324)(113, 307)(114, 313)(115, 236)(116, 237)(117, 322)(118, 238)(119, 242)(120, 240)(121, 319)(122, 243)(123, 327)(124, 245)(125, 329)(126, 331)(127, 247)(128, 272)(129, 248)(130, 249)(131, 334)(132, 250)(133, 251)(134, 275)(135, 253)(136, 254)(137, 270)(138, 255)(139, 281)(140, 336)(141, 278)(142, 258)(143, 259)(144, 332)(145, 282)(146, 267)(147, 271)(148, 262)(149, 263)(150, 333)(151, 289)(152, 328)(153, 276)(154, 285)(155, 277)(156, 280)(157, 330)(158, 335)(159, 291)(160, 320)(161, 293)(162, 325)(163, 294)(164, 312)(165, 318)(166, 299)(167, 326)(168, 308)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 168 f = 112
	degree seq :: [ 24^14 ]

E22.1650 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 12})
Quotient :: halfedge
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1^2 * X2 * X1^4 * X2 * X1 * X2 * X1^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^3 * X2 * X1^-3, X2 * X1 * X2 * X1^2 * X2 * X1 * X2 * X1^-4, X1^12, (X1^-1 * X2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 95, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 148, 141, 78, 38, 18, 8)(6, 13, 27, 55, 111, 163, 147, 168, 126, 62, 30, 14)(9, 19, 39, 79, 128, 150, 96, 149, 134, 86, 42, 20)(12, 25, 51, 103, 69, 133, 93, 137, 162, 110, 54, 26)(16, 33, 67, 112, 161, 109, 160, 146, 89, 125, 70, 34)(17, 35, 71, 106, 52, 105, 157, 142, 80, 138, 74, 36)(21, 43, 87, 120, 152, 98, 48, 97, 151, 129, 90, 44)(24, 49, 99, 153, 117, 92, 45, 91, 135, 72, 102, 50)(28, 57, 115, 156, 145, 155, 144, 84, 41, 83, 118, 58)(29, 59, 119, 85, 100, 154, 130, 66, 32, 65, 122, 60)(37, 75, 139, 164, 114, 56, 113, 88, 108, 53, 107, 76)(40, 81, 101, 64, 124, 61, 123, 167, 140, 77, 104, 82)(68, 131, 158, 121, 166, 143, 165, 116, 73, 136, 159, 132)
	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, 73)(38, 77)(39, 80)(42, 85)(43, 88)(44, 89)(46, 93)(47, 96)(49, 100)(50, 101)(51, 104)(54, 109)(55, 112)(57, 116)(58, 117)(59, 120)(60, 121)(62, 125)(63, 113)(65, 128)(66, 129)(67, 98)(70, 99)(71, 134)(74, 137)(75, 97)(76, 126)(78, 119)(79, 107)(81, 143)(82, 111)(83, 110)(84, 131)(86, 114)(87, 145)(90, 106)(91, 122)(92, 140)(94, 147)(95, 148)(102, 155)(103, 156)(105, 158)(108, 159)(115, 150)(118, 151)(123, 149)(124, 162)(127, 157)(130, 163)(132, 167)(133, 164)(135, 161)(136, 154)(138, 152)(139, 166)(141, 160)(142, 153)(144, 168)(146, 165)
	local type(s) :: { ( 6^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 14 e = 84 f = 28
	degree seq :: [ 12^14 ]

E22.1651 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 12})
Quotient :: halfedge
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ X2^2, X1^6, X1^-2 * X2 * X1^-1 * X2 * X1^3 * X2 * X1 * X2 * X1^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-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, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 80, 61, 32)(17, 33, 62, 81, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 135, 82, 43)(26, 50, 93, 76, 96, 51)(27, 52, 97, 77, 100, 53)(30, 56, 104, 136, 107, 57)(35, 66, 120, 137, 123, 67)(37, 70, 86, 45, 85, 71)(38, 72, 88, 46, 87, 73)(49, 91, 147, 133, 150, 92)(54, 101, 163, 134, 166, 102)(55, 90, 138, 168, 167, 103)(59, 109, 162, 121, 144, 110)(60, 111, 142, 122, 151, 112)(63, 115, 157, 105, 141, 116)(64, 117, 156, 106, 143, 118)(69, 124, 140, 84, 139, 125)(74, 130, 146, 89, 145, 131)(94, 152, 128, 164, 114, 153)(95, 154, 108, 165, 127, 155)(98, 158, 129, 148, 113, 159)(99, 160, 126, 149, 119, 161)
	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, 105)(57, 106)(58, 108)(61, 113)(62, 114)(65, 119)(66, 121)(67, 122)(68, 103)(70, 126)(71, 127)(72, 128)(73, 129)(75, 133)(78, 134)(79, 136)(82, 137)(83, 138)(85, 141)(86, 142)(87, 143)(88, 144)(91, 148)(92, 149)(93, 151)(96, 156)(97, 157)(100, 162)(101, 164)(102, 165)(104, 152)(107, 160)(109, 140)(110, 150)(111, 163)(112, 146)(115, 145)(116, 147)(117, 139)(118, 166)(120, 155)(123, 158)(124, 153)(125, 159)(130, 161)(131, 154)(132, 167)(135, 168)
	local type(s) :: { ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 28 e = 84 f = 14
	degree seq :: [ 6^28 ]

E22.1652 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X2^-1 * X1 * X2^-3 * X1 * X2 * X1 * X2^-3 * X1, X2 * X1 * X2^-1 * X1 * X2^-3 * X1 * X2 * X1 * X2^2, X2^-3 * X1 * X2 * X1 * X2^-3 * X1 * X2^-1 * X1, X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2 * X1 * X2^-1 * X1, X2 * X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 35)(19, 36)(20, 38)(22, 42)(23, 44)(25, 48)(26, 49)(27, 51)(30, 57)(32, 61)(33, 62)(34, 64)(37, 70)(39, 74)(40, 75)(41, 77)(43, 81)(45, 85)(46, 86)(47, 88)(50, 94)(52, 98)(53, 99)(54, 101)(55, 103)(56, 105)(58, 90)(59, 109)(60, 111)(63, 117)(65, 121)(66, 82)(67, 95)(68, 124)(69, 125)(71, 91)(72, 128)(73, 129)(76, 132)(78, 134)(79, 135)(80, 137)(83, 141)(84, 143)(87, 149)(89, 153)(92, 156)(93, 157)(96, 160)(97, 161)(100, 164)(102, 166)(104, 144)(106, 152)(107, 146)(108, 163)(110, 148)(112, 136)(113, 159)(114, 139)(115, 147)(116, 142)(118, 154)(119, 151)(120, 138)(122, 150)(123, 165)(126, 158)(127, 145)(130, 162)(131, 140)(133, 155)(167, 168)(169, 171, 176, 186, 178, 172)(170, 173, 180, 193, 182, 174)(175, 183, 198, 226, 200, 184)(177, 187, 205, 239, 207, 188)(179, 190, 211, 250, 213, 191)(181, 194, 218, 263, 220, 195)(185, 201, 231, 286, 233, 202)(189, 208, 244, 301, 246, 209)(192, 214, 255, 318, 257, 215)(196, 221, 268, 333, 270, 222)(197, 223, 272, 243, 274, 224)(199, 227, 278, 245, 280, 228)(203, 234, 290, 335, 291, 235)(204, 236, 284, 230, 283, 237)(206, 240, 288, 232, 287, 241)(210, 247, 304, 267, 306, 248)(212, 251, 310, 269, 312, 252)(216, 258, 322, 336, 323, 259)(217, 260, 316, 254, 315, 261)(219, 264, 320, 256, 319, 265)(225, 275, 325, 300, 305, 276)(229, 281, 309, 302, 329, 282)(238, 294, 303, 285, 328, 295)(242, 298, 311, 289, 324, 299)(249, 307, 293, 332, 273, 308)(253, 313, 277, 334, 297, 314)(262, 326, 271, 317, 296, 327)(266, 330, 279, 321, 292, 331)
	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) :: { ( 24, 24 ), ( 24^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 168 f = 14
	degree seq :: [ 2^84, 6^28 ]

E22.1653 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^6, X2^2 * X1^-2 * X2^-1 * X1 * X2^-3 * X1^-1, X2^3 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-2 * X1 * X2^-3 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-5 * X1^-2 * X2 * X1^-1, X1^-2 * X2 * X1^-2 * X2^7 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 13, 4)(3, 9, 23, 55, 29, 11)(5, 14, 34, 49, 20, 7)(8, 21, 50, 99, 42, 17)(10, 25, 60, 91, 66, 27)(12, 30, 71, 142, 77, 32)(15, 37, 86, 94, 83, 35)(18, 43, 100, 150, 92, 39)(19, 45, 105, 78, 111, 47)(22, 53, 122, 72, 119, 51)(24, 58, 101, 44, 103, 56)(26, 62, 121, 153, 136, 64)(28, 67, 139, 149, 141, 69)(31, 73, 97, 41, 95, 75)(33, 40, 93, 151, 134, 79)(36, 84, 126, 152, 137, 80)(38, 89, 145, 148, 131, 87)(46, 107, 161, 138, 65, 109)(48, 112, 167, 135, 63, 114)(52, 120, 164, 144, 166, 116)(54, 125, 61, 132, 165, 123)(57, 129, 90, 102, 160, 127)(59, 110, 155, 96, 154, 130)(68, 140, 88, 128, 162, 118)(70, 115, 81, 117, 158, 143)(74, 146, 85, 104, 163, 106)(76, 108, 157, 98, 156, 133)(82, 147, 159, 113, 168, 124)(169, 171, 178, 194, 231, 302, 326, 268, 258, 206, 183, 173)(170, 175, 187, 214, 276, 245, 311, 319, 294, 222, 190, 176)(172, 180, 199, 242, 309, 318, 285, 218, 284, 227, 192, 177)(174, 185, 209, 264, 235, 197, 238, 310, 332, 272, 212, 186)(179, 196, 236, 287, 329, 270, 211, 269, 327, 301, 229, 193)(181, 201, 246, 300, 324, 267, 249, 202, 248, 306, 240, 198)(182, 203, 250, 307, 323, 279, 247, 303, 330, 271, 253, 204)(184, 207, 259, 316, 280, 217, 283, 223, 295, 321, 262, 208)(188, 216, 281, 226, 298, 320, 261, 254, 308, 237, 274, 213)(189, 219, 286, 335, 313, 241, 200, 244, 315, 251, 289, 220)(191, 224, 296, 325, 277, 234, 260, 317, 292, 221, 291, 225)(195, 233, 305, 322, 265, 257, 297, 333, 273, 331, 288, 230)(205, 255, 312, 239, 290, 336, 282, 232, 263, 210, 266, 256)(215, 278, 334, 299, 228, 293, 252, 314, 243, 304, 328, 275)
	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) :: { ( 4^6 ), ( 4^12 ) }
Outer automorphisms :: chiral
Dual of E22.1655
Transitivity :: ET+
Graph:: simple bipartite
	v = 42 e = 168 f = 84
	degree seq :: [ 6^28, 12^14 ]

E22.1654 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 12})
Quotient :: edge
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1^2 * X2 * X1^4 * X2 * X1 * X2 * X1^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^3 * X2 * X1^-3, X2 * X1 * X2 * X1^2 * X2 * X1 * X2 * X1^-4, (X2 * X1^-1)^6, X1^12 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 47, 95, 94, 46, 22, 10, 4)(3, 7, 15, 31, 63, 127, 148, 141, 78, 38, 18, 8)(6, 13, 27, 55, 111, 163, 147, 168, 126, 62, 30, 14)(9, 19, 39, 79, 128, 150, 96, 149, 134, 86, 42, 20)(12, 25, 51, 103, 69, 133, 93, 137, 162, 110, 54, 26)(16, 33, 67, 112, 161, 109, 160, 146, 89, 125, 70, 34)(17, 35, 71, 106, 52, 105, 157, 142, 80, 138, 74, 36)(21, 43, 87, 120, 152, 98, 48, 97, 151, 129, 90, 44)(24, 49, 99, 153, 117, 92, 45, 91, 135, 72, 102, 50)(28, 57, 115, 156, 145, 155, 144, 84, 41, 83, 118, 58)(29, 59, 119, 85, 100, 154, 130, 66, 32, 65, 122, 60)(37, 75, 139, 164, 114, 56, 113, 88, 108, 53, 107, 76)(40, 81, 101, 64, 124, 61, 123, 167, 140, 77, 104, 82)(68, 131, 158, 121, 166, 143, 165, 116, 73, 136, 159, 132)(169, 171)(170, 174)(172, 177)(173, 180)(175, 184)(176, 185)(178, 189)(179, 192)(181, 196)(182, 197)(183, 200)(186, 205)(187, 208)(188, 209)(190, 213)(191, 216)(193, 220)(194, 221)(195, 224)(198, 229)(199, 232)(201, 236)(202, 237)(203, 240)(204, 241)(206, 245)(207, 248)(210, 253)(211, 256)(212, 257)(214, 261)(215, 264)(217, 268)(218, 269)(219, 272)(222, 277)(223, 280)(225, 284)(226, 285)(227, 288)(228, 289)(230, 293)(231, 281)(233, 296)(234, 297)(235, 266)(238, 267)(239, 302)(242, 305)(243, 265)(244, 294)(246, 287)(247, 275)(249, 311)(250, 279)(251, 278)(252, 299)(254, 282)(255, 313)(258, 274)(259, 290)(260, 308)(262, 315)(263, 316)(270, 323)(271, 324)(273, 326)(276, 327)(283, 318)(286, 319)(291, 317)(292, 330)(295, 325)(298, 331)(300, 335)(301, 332)(303, 329)(304, 322)(306, 320)(307, 334)(309, 328)(310, 321)(312, 336)(314, 333)
	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) :: { ( 12, 12 ), ( 12^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 98 e = 168 f = 28
	degree seq :: [ 2^84, 12^14 ]

E22.1655 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X2^-1 * X1 * X2^-3 * X1 * X2 * X1 * X2^-3 * X1, X2 * X1 * X2^-1 * X1 * X2^-3 * X1 * X2 * X1 * X2^2, X2^-3 * X1 * X2 * X1 * X2^-3 * X1 * X2^-1 * X1, X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2 * X1 * X2^-1 * X1, X2 * X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2^2 * X1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 169, 2, 170)(3, 171, 7, 175)(4, 172, 9, 177)(5, 173, 11, 179)(6, 174, 13, 181)(8, 176, 17, 185)(10, 178, 21, 189)(12, 180, 24, 192)(14, 182, 28, 196)(15, 183, 29, 197)(16, 184, 31, 199)(18, 186, 35, 203)(19, 187, 36, 204)(20, 188, 38, 206)(22, 190, 42, 210)(23, 191, 44, 212)(25, 193, 48, 216)(26, 194, 49, 217)(27, 195, 51, 219)(30, 198, 57, 225)(32, 200, 61, 229)(33, 201, 62, 230)(34, 202, 64, 232)(37, 205, 70, 238)(39, 207, 74, 242)(40, 208, 75, 243)(41, 209, 77, 245)(43, 211, 81, 249)(45, 213, 85, 253)(46, 214, 86, 254)(47, 215, 88, 256)(50, 218, 94, 262)(52, 220, 98, 266)(53, 221, 99, 267)(54, 222, 101, 269)(55, 223, 103, 271)(56, 224, 105, 273)(58, 226, 90, 258)(59, 227, 109, 277)(60, 228, 111, 279)(63, 231, 117, 285)(65, 233, 121, 289)(66, 234, 82, 250)(67, 235, 95, 263)(68, 236, 124, 292)(69, 237, 125, 293)(71, 239, 91, 259)(72, 240, 128, 296)(73, 241, 129, 297)(76, 244, 132, 300)(78, 246, 134, 302)(79, 247, 135, 303)(80, 248, 137, 305)(83, 251, 141, 309)(84, 252, 143, 311)(87, 255, 149, 317)(89, 257, 153, 321)(92, 260, 156, 324)(93, 261, 157, 325)(96, 264, 160, 328)(97, 265, 161, 329)(100, 268, 164, 332)(102, 270, 166, 334)(104, 272, 144, 312)(106, 274, 152, 320)(107, 275, 146, 314)(108, 276, 163, 331)(110, 278, 148, 316)(112, 280, 136, 304)(113, 281, 159, 327)(114, 282, 139, 307)(115, 283, 147, 315)(116, 284, 142, 310)(118, 286, 154, 322)(119, 287, 151, 319)(120, 288, 138, 306)(122, 290, 150, 318)(123, 291, 165, 333)(126, 294, 158, 326)(127, 295, 145, 313)(130, 298, 162, 330)(131, 299, 140, 308)(133, 301, 155, 323)(167, 335, 168, 336)
	L = (1, 171)(2, 173)(3, 176)(4, 169)(5, 180)(6, 170)(7, 183)(8, 186)(9, 187)(10, 172)(11, 190)(12, 193)(13, 194)(14, 174)(15, 198)(16, 175)(17, 201)(18, 178)(19, 205)(20, 177)(21, 208)(22, 211)(23, 179)(24, 214)(25, 182)(26, 218)(27, 181)(28, 221)(29, 223)(30, 226)(31, 227)(32, 184)(33, 231)(34, 185)(35, 234)(36, 236)(37, 239)(38, 240)(39, 188)(40, 244)(41, 189)(42, 247)(43, 250)(44, 251)(45, 191)(46, 255)(47, 192)(48, 258)(49, 260)(50, 263)(51, 264)(52, 195)(53, 268)(54, 196)(55, 272)(56, 197)(57, 275)(58, 200)(59, 278)(60, 199)(61, 281)(62, 283)(63, 286)(64, 287)(65, 202)(66, 290)(67, 203)(68, 284)(69, 204)(70, 294)(71, 207)(72, 288)(73, 206)(74, 298)(75, 274)(76, 301)(77, 280)(78, 209)(79, 304)(80, 210)(81, 307)(82, 213)(83, 310)(84, 212)(85, 313)(86, 315)(87, 318)(88, 319)(89, 215)(90, 322)(91, 216)(92, 316)(93, 217)(94, 326)(95, 220)(96, 320)(97, 219)(98, 330)(99, 306)(100, 333)(101, 312)(102, 222)(103, 317)(104, 243)(105, 308)(106, 224)(107, 325)(108, 225)(109, 334)(110, 245)(111, 321)(112, 228)(113, 309)(114, 229)(115, 237)(116, 230)(117, 328)(118, 233)(119, 241)(120, 232)(121, 324)(122, 335)(123, 235)(124, 331)(125, 332)(126, 303)(127, 238)(128, 327)(129, 314)(130, 311)(131, 242)(132, 305)(133, 246)(134, 329)(135, 285)(136, 267)(137, 276)(138, 248)(139, 293)(140, 249)(141, 302)(142, 269)(143, 289)(144, 252)(145, 277)(146, 253)(147, 261)(148, 254)(149, 296)(150, 257)(151, 265)(152, 256)(153, 292)(154, 336)(155, 259)(156, 299)(157, 300)(158, 271)(159, 262)(160, 295)(161, 282)(162, 279)(163, 266)(164, 273)(165, 270)(166, 297)(167, 291)(168, 323)
	local type(s) :: { ( 6, 12, 6, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1653
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 84 e = 168 f = 42
	degree seq :: [ 4^84 ]

E22.1656 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^6, X2^2 * X1^-2 * X2^-1 * X1 * X2^-3 * X1^-1, X2^3 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-2 * X1 * X2^-3 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-5 * X1^-2 * X2 * X1^-1, X1^-2 * X2 * X1^-2 * X2^7 ]
Map::
	R = (1, 169, 2, 170, 6, 174, 16, 184, 13, 181, 4, 172)(3, 171, 9, 177, 23, 191, 55, 223, 29, 197, 11, 179)(5, 173, 14, 182, 34, 202, 49, 217, 20, 188, 7, 175)(8, 176, 21, 189, 50, 218, 99, 267, 42, 210, 17, 185)(10, 178, 25, 193, 60, 228, 91, 259, 66, 234, 27, 195)(12, 180, 30, 198, 71, 239, 142, 310, 77, 245, 32, 200)(15, 183, 37, 205, 86, 254, 94, 262, 83, 251, 35, 203)(18, 186, 43, 211, 100, 268, 150, 318, 92, 260, 39, 207)(19, 187, 45, 213, 105, 273, 78, 246, 111, 279, 47, 215)(22, 190, 53, 221, 122, 290, 72, 240, 119, 287, 51, 219)(24, 192, 58, 226, 101, 269, 44, 212, 103, 271, 56, 224)(26, 194, 62, 230, 121, 289, 153, 321, 136, 304, 64, 232)(28, 196, 67, 235, 139, 307, 149, 317, 141, 309, 69, 237)(31, 199, 73, 241, 97, 265, 41, 209, 95, 263, 75, 243)(33, 201, 40, 208, 93, 261, 151, 319, 134, 302, 79, 247)(36, 204, 84, 252, 126, 294, 152, 320, 137, 305, 80, 248)(38, 206, 89, 257, 145, 313, 148, 316, 131, 299, 87, 255)(46, 214, 107, 275, 161, 329, 138, 306, 65, 233, 109, 277)(48, 216, 112, 280, 167, 335, 135, 303, 63, 231, 114, 282)(52, 220, 120, 288, 164, 332, 144, 312, 166, 334, 116, 284)(54, 222, 125, 293, 61, 229, 132, 300, 165, 333, 123, 291)(57, 225, 129, 297, 90, 258, 102, 270, 160, 328, 127, 295)(59, 227, 110, 278, 155, 323, 96, 264, 154, 322, 130, 298)(68, 236, 140, 308, 88, 256, 128, 296, 162, 330, 118, 286)(70, 238, 115, 283, 81, 249, 117, 285, 158, 326, 143, 311)(74, 242, 146, 314, 85, 253, 104, 272, 163, 331, 106, 274)(76, 244, 108, 276, 157, 325, 98, 266, 156, 324, 133, 301)(82, 250, 147, 315, 159, 327, 113, 281, 168, 336, 124, 292)
	L = (1, 171)(2, 175)(3, 178)(4, 180)(5, 169)(6, 185)(7, 187)(8, 170)(9, 172)(10, 194)(11, 196)(12, 199)(13, 201)(14, 203)(15, 173)(16, 207)(17, 209)(18, 174)(19, 214)(20, 216)(21, 219)(22, 176)(23, 224)(24, 177)(25, 179)(26, 231)(27, 233)(28, 236)(29, 238)(30, 181)(31, 242)(32, 244)(33, 246)(34, 248)(35, 250)(36, 182)(37, 255)(38, 183)(39, 259)(40, 184)(41, 264)(42, 266)(43, 269)(44, 186)(45, 188)(46, 276)(47, 278)(48, 281)(49, 283)(50, 284)(51, 286)(52, 189)(53, 291)(54, 190)(55, 295)(56, 296)(57, 191)(58, 298)(59, 192)(60, 293)(61, 193)(62, 195)(63, 302)(64, 263)(65, 305)(66, 260)(67, 197)(68, 287)(69, 274)(70, 310)(71, 290)(72, 198)(73, 200)(74, 309)(75, 304)(76, 315)(77, 311)(78, 300)(79, 303)(80, 306)(81, 202)(82, 307)(83, 289)(84, 314)(85, 204)(86, 308)(87, 312)(88, 205)(89, 297)(90, 206)(91, 316)(92, 317)(93, 254)(94, 208)(95, 210)(96, 235)(97, 257)(98, 256)(99, 249)(100, 258)(101, 327)(102, 211)(103, 253)(104, 212)(105, 331)(106, 213)(107, 215)(108, 245)(109, 234)(110, 334)(111, 247)(112, 217)(113, 226)(114, 232)(115, 223)(116, 227)(117, 218)(118, 335)(119, 329)(120, 230)(121, 220)(122, 336)(123, 225)(124, 221)(125, 252)(126, 222)(127, 321)(128, 325)(129, 333)(130, 320)(131, 228)(132, 324)(133, 229)(134, 326)(135, 330)(136, 328)(137, 322)(138, 240)(139, 323)(140, 237)(141, 318)(142, 332)(143, 319)(144, 239)(145, 241)(146, 243)(147, 251)(148, 280)(149, 292)(150, 285)(151, 294)(152, 261)(153, 262)(154, 265)(155, 279)(156, 267)(157, 277)(158, 268)(159, 301)(160, 275)(161, 270)(162, 271)(163, 288)(164, 272)(165, 273)(166, 299)(167, 313)(168, 282)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 28 e = 168 f = 98
	degree seq :: [ 12^28 ]

E22.1657 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 12})
Quotient :: loop
Aut^+ = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
Aut   = (C2 x C2 x (C7 : C3)) : C2 (small group id <168, 11>)
|r| :: 1
Presentation :: [ X2^2, X2 * X1^2 * X2 * X1^4 * X2 * X1 * X2 * X1^-1, X2 * X1^-1 * X2 * X1 * X2 * X1^3 * X2 * X1^-3, X2 * X1 * X2 * X1^2 * X2 * X1 * X2 * X1^-4, (X2 * X1^-1)^6, X1^12 ]
Map::
	R = (1, 169, 2, 170, 5, 173, 11, 179, 23, 191, 47, 215, 95, 263, 94, 262, 46, 214, 22, 190, 10, 178, 4, 172)(3, 171, 7, 175, 15, 183, 31, 199, 63, 231, 127, 295, 148, 316, 141, 309, 78, 246, 38, 206, 18, 186, 8, 176)(6, 174, 13, 181, 27, 195, 55, 223, 111, 279, 163, 331, 147, 315, 168, 336, 126, 294, 62, 230, 30, 198, 14, 182)(9, 177, 19, 187, 39, 207, 79, 247, 128, 296, 150, 318, 96, 264, 149, 317, 134, 302, 86, 254, 42, 210, 20, 188)(12, 180, 25, 193, 51, 219, 103, 271, 69, 237, 133, 301, 93, 261, 137, 305, 162, 330, 110, 278, 54, 222, 26, 194)(16, 184, 33, 201, 67, 235, 112, 280, 161, 329, 109, 277, 160, 328, 146, 314, 89, 257, 125, 293, 70, 238, 34, 202)(17, 185, 35, 203, 71, 239, 106, 274, 52, 220, 105, 273, 157, 325, 142, 310, 80, 248, 138, 306, 74, 242, 36, 204)(21, 189, 43, 211, 87, 255, 120, 288, 152, 320, 98, 266, 48, 216, 97, 265, 151, 319, 129, 297, 90, 258, 44, 212)(24, 192, 49, 217, 99, 267, 153, 321, 117, 285, 92, 260, 45, 213, 91, 259, 135, 303, 72, 240, 102, 270, 50, 218)(28, 196, 57, 225, 115, 283, 156, 324, 145, 313, 155, 323, 144, 312, 84, 252, 41, 209, 83, 251, 118, 286, 58, 226)(29, 197, 59, 227, 119, 287, 85, 253, 100, 268, 154, 322, 130, 298, 66, 234, 32, 200, 65, 233, 122, 290, 60, 228)(37, 205, 75, 243, 139, 307, 164, 332, 114, 282, 56, 224, 113, 281, 88, 256, 108, 276, 53, 221, 107, 275, 76, 244)(40, 208, 81, 249, 101, 269, 64, 232, 124, 292, 61, 229, 123, 291, 167, 335, 140, 308, 77, 245, 104, 272, 82, 250)(68, 236, 131, 299, 158, 326, 121, 289, 166, 334, 143, 311, 165, 333, 116, 284, 73, 241, 136, 304, 159, 327, 132, 300)
	L = (1, 171)(2, 174)(3, 169)(4, 177)(5, 180)(6, 170)(7, 184)(8, 185)(9, 172)(10, 189)(11, 192)(12, 173)(13, 196)(14, 197)(15, 200)(16, 175)(17, 176)(18, 205)(19, 208)(20, 209)(21, 178)(22, 213)(23, 216)(24, 179)(25, 220)(26, 221)(27, 224)(28, 181)(29, 182)(30, 229)(31, 232)(32, 183)(33, 236)(34, 237)(35, 240)(36, 241)(37, 186)(38, 245)(39, 248)(40, 187)(41, 188)(42, 253)(43, 256)(44, 257)(45, 190)(46, 261)(47, 264)(48, 191)(49, 268)(50, 269)(51, 272)(52, 193)(53, 194)(54, 277)(55, 280)(56, 195)(57, 284)(58, 285)(59, 288)(60, 289)(61, 198)(62, 293)(63, 281)(64, 199)(65, 296)(66, 297)(67, 266)(68, 201)(69, 202)(70, 267)(71, 302)(72, 203)(73, 204)(74, 305)(75, 265)(76, 294)(77, 206)(78, 287)(79, 275)(80, 207)(81, 311)(82, 279)(83, 278)(84, 299)(85, 210)(86, 282)(87, 313)(88, 211)(89, 212)(90, 274)(91, 290)(92, 308)(93, 214)(94, 315)(95, 316)(96, 215)(97, 243)(98, 235)(99, 238)(100, 217)(101, 218)(102, 323)(103, 324)(104, 219)(105, 326)(106, 258)(107, 247)(108, 327)(109, 222)(110, 251)(111, 250)(112, 223)(113, 231)(114, 254)(115, 318)(116, 225)(117, 226)(118, 319)(119, 246)(120, 227)(121, 228)(122, 259)(123, 317)(124, 330)(125, 230)(126, 244)(127, 325)(128, 233)(129, 234)(130, 331)(131, 252)(132, 335)(133, 332)(134, 239)(135, 329)(136, 322)(137, 242)(138, 320)(139, 334)(140, 260)(141, 328)(142, 321)(143, 249)(144, 336)(145, 255)(146, 333)(147, 262)(148, 263)(149, 291)(150, 283)(151, 286)(152, 306)(153, 310)(154, 304)(155, 270)(156, 271)(157, 295)(158, 273)(159, 276)(160, 309)(161, 303)(162, 292)(163, 298)(164, 301)(165, 314)(166, 307)(167, 300)(168, 312)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 14 e = 168 f = 112
	degree seq :: [ 24^14 ]

E22.1658 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 88})
Quotient :: regular
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T2 * T1^-1 * T2 * T1^43, T1^-2 * T2 * T1^21 * T2 * T1^-21 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 105, 123, 126, 130, 134, 139, 144, 150, 175, 174, 172, 167, 164, 158, 161, 153, 110, 104, 99, 96, 91, 88, 80, 76, 71, 74, 78, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 107, 116, 113, 114, 117, 120, 125, 129, 133, 137, 142, 148, 171, 168, 162, 159, 156, 151, 112, 103, 100, 95, 92, 87, 83, 75, 79, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 109, 121, 119, 124, 128, 132, 136, 141, 146, 154, 169, 173, 160, 166, 155, 147, 143, 101, 108, 93, 98, 84, 90, 73, 82, 69, 81, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 111, 115, 118, 122, 127, 131, 135, 140, 145, 152, 176, 165, 170, 157, 163, 149, 106, 138, 97, 102, 89, 94, 77, 86, 70, 85, 72, 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, 81)(63, 107)(67, 78)(68, 111)(69, 113)(70, 114)(71, 115)(72, 116)(73, 117)(74, 109)(75, 118)(76, 119)(77, 120)(79, 121)(80, 122)(82, 123)(83, 124)(84, 125)(85, 105)(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, 139)(99, 140)(100, 141)(101, 142)(102, 144)(103, 145)(104, 146)(106, 148)(108, 150)(110, 152)(112, 154)(138, 175)(143, 174)(147, 171)(149, 172)(151, 176)(153, 169)(155, 167)(156, 173)(157, 164)(158, 160)(159, 170)(161, 165)(162, 166)(163, 168)
	local type(s) :: { ( 4^88 ) }
Outer automorphisms :: reflexible
Dual of E22.1659
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 88 f = 44
	degree seq :: [ 88^2 ]

E22.1659 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 88})
Quotient :: regular
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * 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 * 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, 138, 134, 136)(135, 156, 139, 155)(137, 160, 142, 162)(140, 163, 141, 159)(143, 166, 144, 161)(145, 165, 146, 164)(147, 168, 148, 167)(149, 170, 150, 169)(151, 172, 152, 171)(153, 174, 154, 173)(157, 176, 158, 175)
	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, 155)(132, 156)(135, 159)(136, 160)(137, 161)(138, 162)(139, 163)(140, 164)(141, 165)(142, 166)(143, 167)(144, 168)(145, 169)(146, 170)(147, 171)(148, 172)(149, 173)(150, 174)(151, 175)(152, 176)(153, 158)(154, 157)
	local type(s) :: { ( 88^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1658
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 44 e = 88 f = 2
	degree seq :: [ 4^44 ]

E22.1660 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 88})
Quotient :: edge
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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 * 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 * 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, 42, 36, 41)(39, 62, 44, 61)(40, 65, 47, 66)(43, 68, 45, 63)(46, 71, 48, 64)(49, 69, 50, 67)(51, 72, 52, 70)(53, 74, 54, 73)(55, 76, 56, 75)(57, 78, 58, 77)(59, 80, 60, 79)(81, 85, 82, 86)(83, 90, 84, 89)(87, 110, 92, 109)(88, 113, 95, 114)(91, 116, 93, 111)(94, 119, 96, 112)(97, 117, 98, 115)(99, 120, 100, 118)(101, 122, 102, 121)(103, 124, 104, 123)(105, 126, 106, 125)(107, 128, 108, 127)(129, 133, 130, 134)(131, 138, 132, 137)(135, 158, 140, 157)(136, 161, 143, 162)(139, 164, 141, 159)(142, 167, 144, 160)(145, 165, 146, 163)(147, 168, 148, 166)(149, 170, 150, 169)(151, 172, 152, 171)(153, 174, 154, 173)(155, 176, 156, 175)(177, 178)(179, 183)(180, 185)(181, 186)(182, 188)(184, 187)(189, 193)(190, 194)(191, 195)(192, 196)(197, 201)(198, 202)(199, 203)(200, 204)(205, 209)(206, 210)(207, 211)(208, 212)(213, 237)(214, 238)(215, 239)(216, 240)(217, 241)(218, 242)(219, 243)(220, 244)(221, 245)(222, 246)(223, 247)(224, 248)(225, 249)(226, 250)(227, 251)(228, 252)(229, 253)(230, 254)(231, 255)(232, 256)(233, 257)(234, 258)(235, 259)(236, 260)(261, 285)(262, 286)(263, 287)(264, 288)(265, 289)(266, 290)(267, 291)(268, 292)(269, 293)(270, 294)(271, 295)(272, 296)(273, 297)(274, 298)(275, 299)(276, 300)(277, 301)(278, 302)(279, 303)(280, 304)(281, 305)(282, 306)(283, 307)(284, 308)(309, 333)(310, 334)(311, 335)(312, 336)(313, 337)(314, 338)(315, 339)(316, 340)(317, 341)(318, 342)(319, 343)(320, 344)(321, 345)(322, 346)(323, 347)(324, 348)(325, 349)(326, 350)(327, 351)(328, 352)(329, 332)(330, 331)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 176, 176 ), ( 176^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1664
Transitivity :: ET+
Graph:: simple bipartite
	v = 132 e = 176 f = 2
	degree seq :: [ 2^88, 4^44 ]

E22.1661 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 88})
Quotient :: edge
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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^-44 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 95, 83, 79, 70, 77, 84, 93, 99, 107, 110, 115, 119, 174, 170, 165, 161, 157, 152, 145, 137, 129, 123, 127, 135, 143, 151, 118, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 105, 101, 91, 87, 75, 72, 76, 85, 92, 100, 106, 111, 114, 120, 176, 172, 167, 162, 158, 153, 146, 138, 130, 124, 128, 136, 144, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 103, 86, 89, 71, 74, 73, 90, 88, 104, 102, 113, 112, 166, 122, 173, 168, 163, 159, 154, 149, 141, 133, 125, 131, 139, 147, 121, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 94, 97, 78, 81, 69, 82, 80, 98, 96, 109, 108, 117, 116, 171, 175, 169, 164, 160, 155, 150, 142, 134, 126, 132, 140, 148, 156, 64, 56, 48, 40, 32, 24, 16, 8)(177, 178, 182, 180)(179, 185, 189, 184)(181, 187, 190, 183)(186, 192, 197, 193)(188, 191, 198, 195)(194, 201, 205, 200)(196, 203, 206, 199)(202, 208, 213, 209)(204, 207, 214, 211)(210, 217, 221, 216)(212, 219, 222, 215)(218, 224, 229, 225)(220, 223, 230, 227)(226, 233, 237, 232)(228, 235, 238, 231)(234, 240, 281, 241)(236, 239, 294, 243)(242, 297, 277, 332)(244, 270, 327, 279)(245, 299, 250, 300)(246, 301, 248, 302)(247, 303, 257, 304)(249, 305, 258, 306)(251, 307, 255, 308)(252, 309, 253, 310)(254, 311, 265, 312)(256, 313, 266, 314)(259, 315, 263, 316)(260, 317, 261, 318)(262, 319, 273, 320)(264, 321, 274, 322)(267, 323, 271, 324)(268, 325, 269, 326)(272, 328, 280, 329)(275, 330, 276, 331)(278, 333, 285, 334)(282, 335, 283, 336)(284, 337, 289, 338)(286, 339, 287, 340)(288, 341, 293, 343)(290, 344, 291, 345)(292, 346, 342, 348)(295, 349, 296, 351)(298, 350, 347, 352)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 4^4 ), ( 4^88 ) }
Outer automorphisms :: reflexible
Dual of E22.1665
Transitivity :: ET+
Graph:: bipartite
	v = 46 e = 176 f = 88
	degree seq :: [ 4^44, 88^2 ]

E22.1662 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 88})
Quotient :: edge
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^43, T1^-2 * T2 * T1^21 * T2 * T1^-21 ]
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, 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, 138)(84, 140)(85, 142)(87, 145)(88, 147)(89, 149)(90, 151)(91, 153)(92, 155)(93, 157)(94, 159)(95, 161)(96, 163)(97, 165)(98, 167)(99, 169)(100, 171)(101, 173)(102, 172)(103, 175)(104, 168)(106, 176)(108, 164)(110, 174)(112, 160)(114, 152)(115, 162)(117, 141)(119, 154)(121, 156)(123, 137)(124, 170)(126, 132)(128, 146)(130, 148)(134, 139)(135, 158)(143, 150)(144, 166)(177, 178, 181, 187, 196, 205, 213, 221, 229, 237, 281, 294, 303, 314, 325, 333, 341, 349, 352, 346, 338, 330, 322, 310, 319, 311, 320, 286, 279, 275, 271, 267, 263, 256, 261, 257, 262, 242, 234, 226, 218, 210, 202, 192, 199, 193, 200, 208, 216, 224, 232, 240, 283, 296, 305, 298, 307, 316, 327, 335, 343, 348, 340, 332, 324, 313, 302, 293, 290, 288, 280, 276, 272, 268, 264, 258, 252, 247, 245, 244, 236, 228, 220, 212, 204, 195, 186, 180)(179, 183, 191, 201, 209, 217, 225, 233, 241, 285, 289, 309, 301, 329, 323, 345, 339, 350, 344, 334, 328, 315, 308, 295, 306, 300, 284, 277, 274, 269, 266, 259, 255, 248, 254, 251, 239, 230, 223, 214, 207, 197, 190, 182, 189, 185, 194, 203, 211, 219, 227, 235, 243, 287, 318, 292, 321, 312, 337, 331, 351, 347, 342, 336, 326, 317, 304, 299, 291, 297, 282, 278, 273, 270, 265, 260, 253, 250, 246, 249, 238, 231, 222, 215, 206, 198, 188, 184)
	L = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)
	local type(s) :: { ( 8, 8 ), ( 8^88 ) }
Outer automorphisms :: reflexible
Dual of E22.1663
Transitivity :: ET+
Graph:: simple bipartite
	v = 90 e = 176 f = 44
	degree seq :: [ 2^88, 88^2 ]

E22.1663 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 88})
Quotient :: loop
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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 * 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 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 177, 3, 179, 8, 184, 4, 180)(2, 178, 5, 181, 11, 187, 6, 182)(7, 183, 13, 189, 9, 185, 14, 190)(10, 186, 15, 191, 12, 188, 16, 192)(17, 193, 21, 197, 18, 194, 22, 198)(19, 195, 23, 199, 20, 196, 24, 200)(25, 201, 29, 205, 26, 202, 30, 206)(27, 203, 31, 207, 28, 204, 32, 208)(33, 209, 37, 213, 34, 210, 38, 214)(35, 211, 57, 233, 36, 212, 59, 235)(39, 215, 61, 237, 42, 218, 63, 239)(40, 216, 64, 240, 45, 221, 66, 242)(41, 217, 67, 243, 43, 219, 69, 245)(44, 220, 72, 248, 46, 222, 74, 250)(47, 223, 77, 253, 48, 224, 79, 255)(49, 225, 81, 257, 50, 226, 83, 259)(51, 227, 85, 261, 52, 228, 87, 263)(53, 229, 89, 265, 54, 230, 91, 267)(55, 231, 93, 269, 56, 232, 95, 271)(58, 234, 98, 274, 60, 236, 97, 273)(62, 238, 102, 278, 70, 246, 101, 277)(65, 241, 105, 281, 75, 251, 104, 280)(68, 244, 108, 284, 71, 247, 107, 283)(73, 249, 113, 289, 76, 252, 112, 288)(78, 254, 118, 294, 80, 256, 117, 293)(82, 258, 122, 298, 84, 260, 121, 297)(86, 262, 126, 302, 88, 264, 125, 301)(90, 266, 130, 306, 92, 268, 129, 305)(94, 270, 134, 310, 96, 272, 133, 309)(99, 275, 137, 313, 100, 276, 138, 314)(103, 279, 141, 317, 110, 286, 142, 318)(106, 282, 144, 320, 115, 291, 145, 321)(109, 285, 147, 323, 111, 287, 148, 324)(114, 290, 152, 328, 116, 292, 153, 329)(119, 295, 157, 333, 120, 296, 158, 334)(123, 299, 161, 337, 124, 300, 162, 338)(127, 303, 165, 341, 128, 304, 166, 342)(131, 307, 169, 345, 132, 308, 170, 346)(135, 311, 173, 349, 136, 312, 174, 350)(139, 315, 176, 352, 140, 316, 175, 351)(143, 319, 171, 347, 150, 326, 172, 348)(146, 322, 167, 343, 155, 331, 168, 344)(149, 325, 164, 340, 151, 327, 163, 339)(154, 330, 160, 336, 156, 332, 159, 335)
	L = (1, 178)(2, 177)(3, 183)(4, 185)(5, 186)(6, 188)(7, 179)(8, 187)(9, 180)(10, 181)(11, 184)(12, 182)(13, 193)(14, 194)(15, 195)(16, 196)(17, 189)(18, 190)(19, 191)(20, 192)(21, 201)(22, 202)(23, 203)(24, 204)(25, 197)(26, 198)(27, 199)(28, 200)(29, 209)(30, 210)(31, 211)(32, 212)(33, 205)(34, 206)(35, 207)(36, 208)(37, 215)(38, 218)(39, 213)(40, 233)(41, 237)(42, 214)(43, 239)(44, 240)(45, 235)(46, 242)(47, 243)(48, 245)(49, 248)(50, 250)(51, 253)(52, 255)(53, 257)(54, 259)(55, 261)(56, 263)(57, 216)(58, 265)(59, 221)(60, 267)(61, 217)(62, 269)(63, 219)(64, 220)(65, 274)(66, 222)(67, 223)(68, 278)(69, 224)(70, 271)(71, 277)(72, 225)(73, 281)(74, 226)(75, 273)(76, 280)(77, 227)(78, 284)(79, 228)(80, 283)(81, 229)(82, 289)(83, 230)(84, 288)(85, 231)(86, 294)(87, 232)(88, 293)(89, 234)(90, 298)(91, 236)(92, 297)(93, 238)(94, 302)(95, 246)(96, 301)(97, 251)(98, 241)(99, 306)(100, 305)(101, 247)(102, 244)(103, 310)(104, 252)(105, 249)(106, 313)(107, 256)(108, 254)(109, 317)(110, 309)(111, 318)(112, 260)(113, 258)(114, 320)(115, 314)(116, 321)(117, 264)(118, 262)(119, 323)(120, 324)(121, 268)(122, 266)(123, 328)(124, 329)(125, 272)(126, 270)(127, 333)(128, 334)(129, 276)(130, 275)(131, 337)(132, 338)(133, 286)(134, 279)(135, 341)(136, 342)(137, 282)(138, 291)(139, 345)(140, 346)(141, 285)(142, 287)(143, 349)(144, 290)(145, 292)(146, 352)(147, 295)(148, 296)(149, 347)(150, 350)(151, 348)(152, 299)(153, 300)(154, 343)(155, 351)(156, 344)(157, 303)(158, 304)(159, 340)(160, 339)(161, 307)(162, 308)(163, 336)(164, 335)(165, 311)(166, 312)(167, 330)(168, 332)(169, 315)(170, 316)(171, 325)(172, 327)(173, 319)(174, 326)(175, 331)(176, 322)
	local type(s) :: { ( 2, 88, 2, 88, 2, 88, 2, 88 ) }
Outer automorphisms :: reflexible
Dual of E22.1662
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 44 e = 176 f = 90
	degree seq :: [ 8^44 ]

E22.1664 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 88})
Quotient :: loop
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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^-44 * T1^-1 ]
Map::
	R = (1, 177, 3, 179, 10, 186, 18, 194, 26, 202, 34, 210, 42, 218, 50, 226, 58, 234, 66, 242, 105, 281, 114, 290, 118, 294, 122, 298, 126, 302, 130, 306, 134, 310, 139, 315, 147, 323, 173, 349, 170, 346, 165, 341, 162, 338, 157, 333, 154, 330, 149, 325, 141, 317, 108, 284, 98, 274, 96, 272, 90, 266, 88, 264, 82, 258, 80, 256, 73, 249, 71, 247, 74, 250, 62, 238, 54, 230, 46, 222, 38, 214, 30, 206, 22, 198, 14, 190, 6, 182, 13, 189, 21, 197, 29, 205, 37, 213, 45, 221, 53, 229, 61, 237, 101, 277, 109, 285, 110, 286, 113, 289, 117, 293, 121, 297, 125, 301, 129, 305, 133, 309, 138, 314, 146, 322, 174, 350, 169, 345, 166, 342, 161, 337, 158, 334, 153, 329, 150, 326, 144, 320, 104, 280, 100, 276, 94, 270, 92, 268, 86, 262, 84, 260, 78, 254, 76, 252, 68, 244, 60, 236, 52, 228, 44, 220, 36, 212, 28, 204, 20, 196, 12, 188, 5, 181)(2, 178, 7, 183, 15, 191, 23, 199, 31, 207, 39, 215, 47, 223, 55, 231, 63, 239, 103, 279, 112, 288, 116, 292, 120, 296, 124, 300, 128, 304, 132, 308, 137, 313, 143, 319, 175, 351, 172, 348, 167, 343, 164, 340, 159, 335, 156, 332, 151, 327, 145, 321, 140, 316, 99, 275, 102, 278, 91, 267, 93, 269, 83, 259, 85, 261, 75, 251, 77, 253, 69, 245, 65, 241, 57, 233, 49, 225, 41, 217, 33, 209, 25, 201, 17, 193, 9, 185, 4, 180, 11, 187, 19, 195, 27, 203, 35, 211, 43, 219, 51, 227, 59, 235, 67, 243, 107, 283, 111, 287, 115, 291, 119, 295, 123, 299, 127, 303, 131, 307, 136, 312, 142, 318, 176, 352, 171, 347, 168, 344, 163, 339, 160, 336, 155, 331, 152, 328, 148, 324, 106, 282, 135, 311, 95, 271, 97, 273, 87, 263, 89, 265, 79, 255, 81, 257, 70, 246, 72, 248, 64, 240, 56, 232, 48, 224, 40, 216, 32, 208, 24, 200, 16, 192, 8, 184)
	L = (1, 178)(2, 182)(3, 185)(4, 177)(5, 187)(6, 180)(7, 181)(8, 179)(9, 189)(10, 192)(11, 190)(12, 191)(13, 184)(14, 183)(15, 198)(16, 197)(17, 186)(18, 201)(19, 188)(20, 203)(21, 193)(22, 195)(23, 196)(24, 194)(25, 205)(26, 208)(27, 206)(28, 207)(29, 200)(30, 199)(31, 214)(32, 213)(33, 202)(34, 217)(35, 204)(36, 219)(37, 209)(38, 211)(39, 212)(40, 210)(41, 221)(42, 224)(43, 222)(44, 223)(45, 216)(46, 215)(47, 230)(48, 229)(49, 218)(50, 233)(51, 220)(52, 235)(53, 225)(54, 227)(55, 228)(56, 226)(57, 237)(58, 240)(59, 238)(60, 239)(61, 232)(62, 231)(63, 250)(64, 277)(65, 234)(66, 245)(67, 236)(68, 283)(69, 285)(70, 286)(71, 279)(72, 242)(73, 287)(74, 243)(75, 289)(76, 288)(77, 281)(78, 291)(79, 293)(80, 292)(81, 290)(82, 295)(83, 297)(84, 296)(85, 294)(86, 299)(87, 301)(88, 300)(89, 298)(90, 303)(91, 305)(92, 304)(93, 302)(94, 307)(95, 309)(96, 308)(97, 306)(98, 312)(99, 314)(100, 313)(101, 241)(102, 310)(103, 244)(104, 318)(105, 246)(106, 322)(107, 247)(108, 319)(109, 248)(110, 253)(111, 252)(112, 249)(113, 257)(114, 251)(115, 256)(116, 254)(117, 261)(118, 255)(119, 260)(120, 258)(121, 265)(122, 259)(123, 264)(124, 262)(125, 269)(126, 263)(127, 268)(128, 266)(129, 273)(130, 267)(131, 272)(132, 270)(133, 278)(134, 271)(135, 315)(136, 276)(137, 274)(138, 311)(139, 275)(140, 323)(141, 352)(142, 284)(143, 280)(144, 351)(145, 350)(146, 316)(147, 282)(148, 349)(149, 348)(150, 347)(151, 346)(152, 345)(153, 343)(154, 344)(155, 341)(156, 342)(157, 340)(158, 339)(159, 338)(160, 337)(161, 335)(162, 336)(163, 333)(164, 334)(165, 332)(166, 331)(167, 330)(168, 329)(169, 327)(170, 328)(171, 325)(172, 326)(173, 321)(174, 324)(175, 317)(176, 320)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E22.1660
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 176 f = 132
	degree seq :: [ 176^2 ]

E22.1665 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 88})
Quotient :: loop
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1^43, T1^-2 * T2 * T1^21 * T2 * T1^-21 ]
Map:: polytopal non-degenerate
	R = (1, 177, 3, 179)(2, 178, 6, 182)(4, 180, 9, 185)(5, 181, 12, 188)(7, 183, 16, 192)(8, 184, 17, 193)(10, 186, 15, 191)(11, 187, 21, 197)(13, 189, 23, 199)(14, 190, 24, 200)(18, 194, 26, 202)(19, 195, 27, 203)(20, 196, 30, 206)(22, 198, 32, 208)(25, 201, 34, 210)(28, 204, 33, 209)(29, 205, 38, 214)(31, 207, 40, 216)(35, 211, 42, 218)(36, 212, 43, 219)(37, 213, 46, 222)(39, 215, 48, 224)(41, 217, 50, 226)(44, 220, 49, 225)(45, 221, 54, 230)(47, 223, 56, 232)(51, 227, 58, 234)(52, 228, 59, 235)(53, 229, 62, 238)(55, 231, 64, 240)(57, 233, 66, 242)(60, 236, 65, 241)(61, 237, 72, 248)(63, 239, 99, 275)(67, 243, 69, 245)(68, 244, 103, 279)(70, 246, 101, 277)(71, 247, 107, 283)(73, 249, 110, 286)(74, 250, 112, 288)(75, 251, 97, 273)(76, 252, 115, 291)(77, 253, 117, 293)(78, 254, 119, 295)(79, 255, 121, 297)(80, 256, 123, 299)(81, 257, 125, 301)(82, 258, 127, 303)(83, 259, 129, 305)(84, 260, 131, 307)(85, 261, 133, 309)(86, 262, 135, 311)(87, 263, 137, 313)(88, 264, 139, 315)(89, 265, 141, 317)(90, 266, 143, 319)(91, 267, 145, 321)(92, 268, 147, 323)(93, 269, 149, 325)(94, 270, 151, 327)(95, 271, 153, 329)(96, 272, 155, 331)(98, 274, 158, 334)(100, 276, 160, 336)(102, 278, 163, 339)(104, 280, 165, 341)(105, 281, 167, 343)(106, 282, 162, 338)(108, 284, 170, 346)(109, 285, 172, 348)(111, 287, 174, 350)(113, 289, 175, 351)(114, 290, 157, 333)(116, 292, 171, 347)(118, 294, 169, 345)(120, 296, 166, 342)(122, 298, 176, 352)(124, 300, 161, 337)(126, 302, 168, 344)(128, 304, 156, 332)(130, 306, 173, 349)(132, 308, 152, 328)(134, 310, 164, 340)(136, 312, 148, 324)(138, 314, 159, 335)(140, 316, 144, 320)(142, 318, 154, 330)(146, 322, 150, 326)
	L = (1, 178)(2, 181)(3, 183)(4, 177)(5, 187)(6, 189)(7, 191)(8, 179)(9, 194)(10, 180)(11, 196)(12, 184)(13, 185)(14, 182)(15, 201)(16, 199)(17, 200)(18, 203)(19, 186)(20, 205)(21, 190)(22, 188)(23, 193)(24, 208)(25, 209)(26, 192)(27, 211)(28, 195)(29, 213)(30, 198)(31, 197)(32, 216)(33, 217)(34, 202)(35, 219)(36, 204)(37, 221)(38, 207)(39, 206)(40, 224)(41, 225)(42, 210)(43, 227)(44, 212)(45, 229)(46, 215)(47, 214)(48, 232)(49, 233)(50, 218)(51, 235)(52, 220)(53, 237)(54, 223)(55, 222)(56, 240)(57, 241)(58, 226)(59, 243)(60, 228)(61, 273)(62, 231)(63, 230)(64, 275)(65, 277)(66, 234)(67, 279)(68, 236)(69, 242)(70, 245)(71, 238)(72, 239)(73, 246)(74, 248)(75, 247)(76, 249)(77, 251)(78, 250)(79, 244)(80, 252)(81, 254)(82, 253)(83, 255)(84, 256)(85, 258)(86, 257)(87, 259)(88, 260)(89, 262)(90, 261)(91, 263)(92, 264)(93, 266)(94, 265)(95, 267)(96, 268)(97, 295)(98, 270)(99, 283)(100, 269)(101, 297)(102, 271)(103, 286)(104, 272)(105, 278)(106, 281)(107, 288)(108, 274)(109, 276)(110, 305)(111, 282)(112, 293)(113, 285)(114, 284)(115, 313)(116, 287)(117, 301)(118, 290)(119, 303)(120, 289)(121, 291)(122, 280)(123, 321)(124, 292)(125, 309)(126, 296)(127, 311)(128, 294)(129, 299)(130, 298)(131, 329)(132, 300)(133, 317)(134, 304)(135, 319)(136, 302)(137, 307)(138, 306)(139, 339)(140, 308)(141, 325)(142, 312)(143, 327)(144, 310)(145, 315)(146, 314)(147, 343)(148, 316)(149, 334)(150, 320)(151, 336)(152, 318)(153, 323)(154, 322)(155, 338)(156, 324)(157, 342)(158, 348)(159, 328)(160, 346)(161, 326)(162, 352)(163, 331)(164, 330)(165, 350)(166, 332)(167, 341)(168, 340)(169, 344)(170, 351)(171, 335)(172, 333)(173, 337)(174, 349)(175, 345)(176, 347)
	local type(s) :: { ( 4, 88, 4, 88 ) }
Outer automorphisms :: reflexible
Dual of E22.1661
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 88 e = 176 f = 46
	degree seq :: [ 4^88 ]

E22.1666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 88})
Quotient :: dipole
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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 * 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 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^88 ]
Map::
	R = (1, 177, 2, 178)(3, 179, 7, 183)(4, 180, 9, 185)(5, 181, 10, 186)(6, 182, 12, 188)(8, 184, 11, 187)(13, 189, 17, 193)(14, 190, 18, 194)(15, 191, 19, 195)(16, 192, 20, 196)(21, 197, 25, 201)(22, 198, 26, 202)(23, 199, 27, 203)(24, 200, 28, 204)(29, 205, 33, 209)(30, 206, 34, 210)(31, 207, 35, 211)(32, 208, 36, 212)(37, 213, 61, 237)(38, 214, 62, 238)(39, 215, 63, 239)(40, 216, 64, 240)(41, 217, 65, 241)(42, 218, 66, 242)(43, 219, 67, 243)(44, 220, 68, 244)(45, 221, 69, 245)(46, 222, 70, 246)(47, 223, 71, 247)(48, 224, 72, 248)(49, 225, 73, 249)(50, 226, 74, 250)(51, 227, 75, 251)(52, 228, 76, 252)(53, 229, 77, 253)(54, 230, 78, 254)(55, 231, 79, 255)(56, 232, 80, 256)(57, 233, 81, 257)(58, 234, 82, 258)(59, 235, 83, 259)(60, 236, 84, 260)(85, 261, 109, 285)(86, 262, 110, 286)(87, 263, 111, 287)(88, 264, 112, 288)(89, 265, 113, 289)(90, 266, 114, 290)(91, 267, 115, 291)(92, 268, 116, 292)(93, 269, 117, 293)(94, 270, 118, 294)(95, 271, 119, 295)(96, 272, 120, 296)(97, 273, 121, 297)(98, 274, 122, 298)(99, 275, 123, 299)(100, 276, 124, 300)(101, 277, 125, 301)(102, 278, 126, 302)(103, 279, 127, 303)(104, 280, 128, 304)(105, 281, 129, 305)(106, 282, 130, 306)(107, 283, 131, 307)(108, 284, 132, 308)(133, 309, 157, 333)(134, 310, 158, 334)(135, 311, 159, 335)(136, 312, 160, 336)(137, 313, 161, 337)(138, 314, 162, 338)(139, 315, 163, 339)(140, 316, 164, 340)(141, 317, 165, 341)(142, 318, 166, 342)(143, 319, 167, 343)(144, 320, 168, 344)(145, 321, 169, 345)(146, 322, 170, 346)(147, 323, 171, 347)(148, 324, 172, 348)(149, 325, 173, 349)(150, 326, 174, 350)(151, 327, 175, 351)(152, 328, 176, 352)(153, 329, 156, 332)(154, 330, 155, 331)(353, 529, 355, 531, 360, 536, 356, 532)(354, 530, 357, 533, 363, 539, 358, 534)(359, 535, 365, 541, 361, 537, 366, 542)(362, 538, 367, 543, 364, 540, 368, 544)(369, 545, 373, 549, 370, 546, 374, 550)(371, 547, 375, 551, 372, 548, 376, 552)(377, 553, 381, 557, 378, 554, 382, 558)(379, 555, 383, 559, 380, 556, 384, 560)(385, 561, 389, 565, 386, 562, 390, 566)(387, 563, 393, 569, 388, 564, 394, 570)(391, 567, 413, 589, 396, 572, 414, 590)(392, 568, 417, 593, 399, 575, 418, 594)(395, 571, 420, 596, 397, 573, 415, 591)(398, 574, 423, 599, 400, 576, 416, 592)(401, 577, 421, 597, 402, 578, 419, 595)(403, 579, 424, 600, 404, 580, 422, 598)(405, 581, 426, 602, 406, 582, 425, 601)(407, 583, 428, 604, 408, 584, 427, 603)(409, 585, 430, 606, 410, 586, 429, 605)(411, 587, 432, 608, 412, 588, 431, 607)(433, 609, 437, 613, 434, 610, 438, 614)(435, 611, 441, 617, 436, 612, 442, 618)(439, 615, 461, 637, 444, 620, 462, 638)(440, 616, 465, 641, 447, 623, 466, 642)(443, 619, 468, 644, 445, 621, 463, 639)(446, 622, 471, 647, 448, 624, 464, 640)(449, 625, 469, 645, 450, 626, 467, 643)(451, 627, 472, 648, 452, 628, 470, 646)(453, 629, 474, 650, 454, 630, 473, 649)(455, 631, 476, 652, 456, 632, 475, 651)(457, 633, 478, 654, 458, 634, 477, 653)(459, 635, 480, 656, 460, 636, 479, 655)(481, 657, 485, 661, 482, 658, 486, 662)(483, 659, 489, 665, 484, 660, 490, 666)(487, 663, 509, 685, 492, 668, 510, 686)(488, 664, 513, 689, 495, 671, 514, 690)(491, 667, 516, 692, 493, 669, 511, 687)(494, 670, 519, 695, 496, 672, 512, 688)(497, 673, 517, 693, 498, 674, 515, 691)(499, 675, 520, 696, 500, 676, 518, 694)(501, 677, 522, 698, 502, 678, 521, 697)(503, 679, 524, 700, 504, 680, 523, 699)(505, 681, 526, 702, 506, 682, 525, 701)(507, 683, 528, 704, 508, 684, 527, 703)
	L = (1, 354)(2, 353)(3, 359)(4, 361)(5, 362)(6, 364)(7, 355)(8, 363)(9, 356)(10, 357)(11, 360)(12, 358)(13, 369)(14, 370)(15, 371)(16, 372)(17, 365)(18, 366)(19, 367)(20, 368)(21, 377)(22, 378)(23, 379)(24, 380)(25, 373)(26, 374)(27, 375)(28, 376)(29, 385)(30, 386)(31, 387)(32, 388)(33, 381)(34, 382)(35, 383)(36, 384)(37, 413)(38, 414)(39, 415)(40, 416)(41, 417)(42, 418)(43, 419)(44, 420)(45, 421)(46, 422)(47, 423)(48, 424)(49, 425)(50, 426)(51, 427)(52, 428)(53, 429)(54, 430)(55, 431)(56, 432)(57, 433)(58, 434)(59, 435)(60, 436)(61, 389)(62, 390)(63, 391)(64, 392)(65, 393)(66, 394)(67, 395)(68, 396)(69, 397)(70, 398)(71, 399)(72, 400)(73, 401)(74, 402)(75, 403)(76, 404)(77, 405)(78, 406)(79, 407)(80, 408)(81, 409)(82, 410)(83, 411)(84, 412)(85, 461)(86, 462)(87, 463)(88, 464)(89, 465)(90, 466)(91, 467)(92, 468)(93, 469)(94, 470)(95, 471)(96, 472)(97, 473)(98, 474)(99, 475)(100, 476)(101, 477)(102, 478)(103, 479)(104, 480)(105, 481)(106, 482)(107, 483)(108, 484)(109, 437)(110, 438)(111, 439)(112, 440)(113, 441)(114, 442)(115, 443)(116, 444)(117, 445)(118, 446)(119, 447)(120, 448)(121, 449)(122, 450)(123, 451)(124, 452)(125, 453)(126, 454)(127, 455)(128, 456)(129, 457)(130, 458)(131, 459)(132, 460)(133, 509)(134, 510)(135, 511)(136, 512)(137, 513)(138, 514)(139, 515)(140, 516)(141, 517)(142, 518)(143, 519)(144, 520)(145, 521)(146, 522)(147, 523)(148, 524)(149, 525)(150, 526)(151, 527)(152, 528)(153, 508)(154, 507)(155, 506)(156, 505)(157, 485)(158, 486)(159, 487)(160, 488)(161, 489)(162, 490)(163, 491)(164, 492)(165, 493)(166, 494)(167, 495)(168, 496)(169, 497)(170, 498)(171, 499)(172, 500)(173, 501)(174, 502)(175, 503)(176, 504)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	local type(s) :: { ( 2, 176, 2, 176 ), ( 2, 176, 2, 176, 2, 176, 2, 176 ) }
Outer automorphisms :: reflexible
Dual of E22.1669
Graph:: bipartite
	v = 132 e = 352 f = 178
	degree seq :: [ 4^88, 8^44 ]

E22.1667 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 88})
Quotient :: dipole
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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^-44 * Y1^-1 ]
Map::
	R = (1, 177, 2, 178, 6, 182, 4, 180)(3, 179, 9, 185, 13, 189, 8, 184)(5, 181, 11, 187, 14, 190, 7, 183)(10, 186, 16, 192, 21, 197, 17, 193)(12, 188, 15, 191, 22, 198, 19, 195)(18, 194, 25, 201, 29, 205, 24, 200)(20, 196, 27, 203, 30, 206, 23, 199)(26, 202, 32, 208, 37, 213, 33, 209)(28, 204, 31, 207, 38, 214, 35, 211)(34, 210, 41, 217, 45, 221, 40, 216)(36, 212, 43, 219, 46, 222, 39, 215)(42, 218, 48, 224, 53, 229, 49, 225)(44, 220, 47, 223, 54, 230, 51, 227)(50, 226, 57, 233, 61, 237, 56, 232)(52, 228, 59, 235, 62, 238, 55, 231)(58, 234, 64, 240, 113, 289, 65, 241)(60, 236, 63, 239, 98, 274, 67, 243)(66, 242, 88, 264, 142, 318, 96, 272)(68, 244, 119, 295, 92, 268, 115, 291)(69, 245, 121, 297, 74, 250, 122, 298)(70, 246, 123, 299, 72, 248, 124, 300)(71, 247, 125, 301, 81, 257, 126, 302)(73, 249, 127, 303, 82, 258, 128, 304)(75, 251, 129, 305, 79, 255, 130, 306)(76, 252, 131, 307, 77, 253, 132, 308)(78, 254, 133, 309, 89, 265, 134, 310)(80, 256, 135, 311, 90, 266, 117, 293)(83, 259, 136, 312, 87, 263, 137, 313)(84, 260, 138, 314, 85, 261, 139, 315)(86, 262, 140, 316, 95, 271, 141, 317)(91, 267, 143, 319, 94, 270, 144, 320)(93, 269, 145, 321, 101, 277, 146, 322)(97, 273, 147, 323, 100, 276, 148, 324)(99, 275, 149, 325, 105, 281, 150, 326)(102, 278, 151, 327, 104, 280, 152, 328)(103, 279, 153, 329, 109, 285, 154, 330)(106, 282, 155, 331, 108, 284, 156, 332)(107, 283, 157, 333, 114, 290, 158, 334)(110, 286, 160, 336, 112, 288, 161, 337)(111, 287, 162, 338, 159, 335, 163, 339)(116, 292, 167, 343, 120, 296, 168, 344)(118, 294, 171, 347, 164, 340, 172, 348)(165, 341, 173, 349, 166, 342, 174, 350)(169, 345, 175, 351, 170, 346, 176, 352)(353, 529, 355, 531, 362, 538, 370, 546, 378, 554, 386, 562, 394, 570, 402, 578, 410, 586, 418, 594, 469, 645, 480, 656, 474, 650, 478, 654, 486, 662, 493, 669, 498, 674, 502, 678, 506, 682, 510, 686, 515, 691, 524, 700, 528, 704, 518, 694, 468, 644, 464, 640, 458, 634, 456, 632, 449, 625, 446, 622, 435, 611, 431, 607, 422, 598, 429, 605, 436, 612, 444, 620, 450, 626, 414, 590, 406, 582, 398, 574, 390, 566, 382, 558, 374, 550, 366, 542, 358, 534, 365, 541, 373, 549, 381, 557, 389, 565, 397, 573, 405, 581, 413, 589, 465, 641, 494, 670, 487, 663, 479, 655, 473, 649, 477, 653, 485, 661, 492, 668, 497, 673, 501, 677, 505, 681, 509, 685, 514, 690, 523, 699, 527, 703, 517, 693, 472, 648, 462, 638, 460, 636, 454, 630, 452, 628, 443, 619, 439, 615, 427, 603, 424, 600, 428, 604, 437, 613, 420, 596, 412, 588, 404, 580, 396, 572, 388, 564, 380, 556, 372, 548, 364, 540, 357, 533)(354, 530, 359, 535, 367, 543, 375, 551, 383, 559, 391, 567, 399, 575, 407, 583, 415, 591, 467, 643, 491, 667, 484, 660, 476, 652, 482, 658, 489, 665, 496, 672, 500, 676, 504, 680, 508, 684, 513, 689, 520, 696, 526, 702, 522, 698, 470, 646, 511, 687, 459, 635, 461, 637, 451, 627, 453, 629, 438, 614, 441, 617, 423, 599, 426, 602, 425, 601, 442, 618, 440, 616, 417, 593, 409, 585, 401, 577, 393, 569, 385, 561, 377, 553, 369, 545, 361, 537, 356, 532, 363, 539, 371, 547, 379, 555, 387, 563, 395, 571, 403, 579, 411, 587, 419, 595, 471, 647, 490, 666, 483, 659, 475, 651, 481, 657, 488, 664, 495, 671, 499, 675, 503, 679, 507, 683, 512, 688, 519, 695, 525, 701, 521, 697, 516, 692, 463, 639, 466, 642, 455, 631, 457, 633, 445, 621, 447, 623, 430, 606, 433, 609, 421, 597, 434, 610, 432, 608, 448, 624, 416, 592, 408, 584, 400, 576, 392, 568, 384, 560, 376, 552, 368, 544, 360, 536)
	L = (1, 355)(2, 359)(3, 362)(4, 363)(5, 353)(6, 365)(7, 367)(8, 354)(9, 356)(10, 370)(11, 371)(12, 357)(13, 373)(14, 358)(15, 375)(16, 360)(17, 361)(18, 378)(19, 379)(20, 364)(21, 381)(22, 366)(23, 383)(24, 368)(25, 369)(26, 386)(27, 387)(28, 372)(29, 389)(30, 374)(31, 391)(32, 376)(33, 377)(34, 394)(35, 395)(36, 380)(37, 397)(38, 382)(39, 399)(40, 384)(41, 385)(42, 402)(43, 403)(44, 388)(45, 405)(46, 390)(47, 407)(48, 392)(49, 393)(50, 410)(51, 411)(52, 396)(53, 413)(54, 398)(55, 415)(56, 400)(57, 401)(58, 418)(59, 419)(60, 404)(61, 465)(62, 406)(63, 467)(64, 408)(65, 409)(66, 469)(67, 471)(68, 412)(69, 434)(70, 429)(71, 426)(72, 428)(73, 442)(74, 425)(75, 424)(76, 437)(77, 436)(78, 433)(79, 422)(80, 448)(81, 421)(82, 432)(83, 431)(84, 444)(85, 420)(86, 441)(87, 427)(88, 417)(89, 423)(90, 440)(91, 439)(92, 450)(93, 447)(94, 435)(95, 430)(96, 416)(97, 446)(98, 414)(99, 453)(100, 443)(101, 438)(102, 452)(103, 457)(104, 449)(105, 445)(106, 456)(107, 461)(108, 454)(109, 451)(110, 460)(111, 466)(112, 458)(113, 494)(114, 455)(115, 491)(116, 464)(117, 480)(118, 511)(119, 490)(120, 462)(121, 477)(122, 478)(123, 481)(124, 482)(125, 485)(126, 486)(127, 473)(128, 474)(129, 488)(130, 489)(131, 475)(132, 476)(133, 492)(134, 493)(135, 479)(136, 495)(137, 496)(138, 483)(139, 484)(140, 497)(141, 498)(142, 487)(143, 499)(144, 500)(145, 501)(146, 502)(147, 503)(148, 504)(149, 505)(150, 506)(151, 507)(152, 508)(153, 509)(154, 510)(155, 512)(156, 513)(157, 514)(158, 515)(159, 459)(160, 519)(161, 520)(162, 523)(163, 524)(164, 463)(165, 472)(166, 468)(167, 525)(168, 526)(169, 516)(170, 470)(171, 527)(172, 528)(173, 521)(174, 522)(175, 517)(176, 518)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1668
Graph:: bipartite
	v = 46 e = 352 f = 264
	degree seq :: [ 8^44, 176^2 ]

E22.1668 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 88})
Quotient :: dipole
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, Y3^41 * Y2 * Y3^-1 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^88 ]
Map:: polytopal
	R = (1, 177)(2, 178)(3, 179)(4, 180)(5, 181)(6, 182)(7, 183)(8, 184)(9, 185)(10, 186)(11, 187)(12, 188)(13, 189)(14, 190)(15, 191)(16, 192)(17, 193)(18, 194)(19, 195)(20, 196)(21, 197)(22, 198)(23, 199)(24, 200)(25, 201)(26, 202)(27, 203)(28, 204)(29, 205)(30, 206)(31, 207)(32, 208)(33, 209)(34, 210)(35, 211)(36, 212)(37, 213)(38, 214)(39, 215)(40, 216)(41, 217)(42, 218)(43, 219)(44, 220)(45, 221)(46, 222)(47, 223)(48, 224)(49, 225)(50, 226)(51, 227)(52, 228)(53, 229)(54, 230)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 236)(61, 237)(62, 238)(63, 239)(64, 240)(65, 241)(66, 242)(67, 243)(68, 244)(69, 245)(70, 246)(71, 247)(72, 248)(73, 249)(74, 250)(75, 251)(76, 252)(77, 253)(78, 254)(79, 255)(80, 256)(81, 257)(82, 258)(83, 259)(84, 260)(85, 261)(86, 262)(87, 263)(88, 264)(89, 265)(90, 266)(91, 267)(92, 268)(93, 269)(94, 270)(95, 271)(96, 272)(97, 273)(98, 274)(99, 275)(100, 276)(101, 277)(102, 278)(103, 279)(104, 280)(105, 281)(106, 282)(107, 283)(108, 284)(109, 285)(110, 286)(111, 287)(112, 288)(113, 289)(114, 290)(115, 291)(116, 292)(117, 293)(118, 294)(119, 295)(120, 296)(121, 297)(122, 298)(123, 299)(124, 300)(125, 301)(126, 302)(127, 303)(128, 304)(129, 305)(130, 306)(131, 307)(132, 308)(133, 309)(134, 310)(135, 311)(136, 312)(137, 313)(138, 314)(139, 315)(140, 316)(141, 317)(142, 318)(143, 319)(144, 320)(145, 321)(146, 322)(147, 323)(148, 324)(149, 325)(150, 326)(151, 327)(152, 328)(153, 329)(154, 330)(155, 331)(156, 332)(157, 333)(158, 334)(159, 335)(160, 336)(161, 337)(162, 338)(163, 339)(164, 340)(165, 341)(166, 342)(167, 343)(168, 344)(169, 345)(170, 346)(171, 347)(172, 348)(173, 349)(174, 350)(175, 351)(176, 352)(353, 529, 354, 530)(355, 531, 359, 535)(356, 532, 361, 537)(357, 533, 363, 539)(358, 534, 365, 541)(360, 536, 366, 542)(362, 538, 364, 540)(367, 543, 372, 548)(368, 544, 375, 551)(369, 545, 377, 553)(370, 546, 373, 549)(371, 547, 379, 555)(374, 550, 381, 557)(376, 552, 383, 559)(378, 554, 384, 560)(380, 556, 382, 558)(385, 561, 391, 567)(386, 562, 393, 569)(387, 563, 389, 565)(388, 564, 395, 571)(390, 566, 397, 573)(392, 568, 399, 575)(394, 570, 400, 576)(396, 572, 398, 574)(401, 577, 407, 583)(402, 578, 409, 585)(403, 579, 405, 581)(404, 580, 411, 587)(406, 582, 413, 589)(408, 584, 415, 591)(410, 586, 416, 592)(412, 588, 414, 590)(417, 593, 463, 639)(418, 594, 430, 606)(419, 595, 442, 618)(420, 596, 467, 643)(421, 597, 469, 645)(422, 598, 470, 646)(423, 599, 471, 647)(424, 600, 465, 641)(425, 601, 472, 648)(426, 602, 473, 649)(427, 603, 474, 650)(428, 604, 475, 651)(429, 605, 476, 652)(431, 607, 477, 653)(432, 608, 478, 654)(433, 609, 479, 655)(434, 610, 461, 637)(435, 611, 480, 656)(436, 612, 481, 657)(437, 613, 482, 658)(438, 614, 483, 659)(439, 615, 484, 660)(440, 616, 485, 661)(441, 617, 486, 662)(443, 619, 487, 663)(444, 620, 488, 664)(445, 621, 489, 665)(446, 622, 490, 666)(447, 623, 491, 667)(448, 624, 492, 668)(449, 625, 493, 669)(450, 626, 494, 670)(451, 627, 495, 671)(452, 628, 496, 672)(453, 629, 497, 673)(454, 630, 498, 674)(455, 631, 499, 675)(456, 632, 501, 677)(457, 633, 502, 678)(458, 634, 503, 679)(459, 635, 504, 680)(460, 636, 506, 682)(462, 638, 509, 685)(464, 640, 510, 686)(466, 642, 513, 689)(468, 644, 514, 690)(500, 676, 528, 704)(505, 681, 527, 703)(507, 683, 526, 702)(508, 684, 525, 701)(511, 687, 521, 697)(512, 688, 522, 698)(515, 691, 518, 694)(516, 692, 517, 693)(519, 695, 523, 699)(520, 696, 524, 700)
	L = (1, 355)(2, 357)(3, 360)(4, 353)(5, 364)(6, 354)(7, 367)(8, 369)(9, 370)(10, 356)(11, 372)(12, 374)(13, 375)(14, 358)(15, 361)(16, 359)(17, 378)(18, 379)(19, 362)(20, 365)(21, 363)(22, 382)(23, 383)(24, 366)(25, 368)(26, 386)(27, 387)(28, 371)(29, 373)(30, 390)(31, 391)(32, 376)(33, 377)(34, 394)(35, 395)(36, 380)(37, 381)(38, 398)(39, 399)(40, 384)(41, 385)(42, 402)(43, 403)(44, 388)(45, 389)(46, 406)(47, 407)(48, 392)(49, 393)(50, 410)(51, 411)(52, 396)(53, 397)(54, 414)(55, 415)(56, 400)(57, 401)(58, 418)(59, 419)(60, 404)(61, 405)(62, 461)(63, 463)(64, 408)(65, 409)(66, 465)(67, 467)(68, 412)(69, 431)(70, 427)(71, 438)(72, 439)(73, 435)(74, 420)(75, 434)(76, 433)(77, 422)(78, 417)(79, 430)(80, 429)(81, 421)(82, 442)(83, 426)(84, 441)(85, 425)(86, 424)(87, 416)(88, 437)(89, 423)(90, 413)(91, 446)(92, 432)(93, 444)(94, 428)(95, 450)(96, 440)(97, 448)(98, 436)(99, 454)(100, 445)(101, 452)(102, 443)(103, 458)(104, 449)(105, 456)(106, 447)(107, 464)(108, 453)(109, 473)(110, 460)(111, 484)(112, 451)(113, 469)(114, 500)(115, 474)(116, 457)(117, 471)(118, 472)(119, 475)(120, 478)(121, 470)(122, 480)(123, 481)(124, 482)(125, 483)(126, 485)(127, 486)(128, 476)(129, 487)(130, 488)(131, 479)(132, 477)(133, 489)(134, 490)(135, 491)(136, 492)(137, 493)(138, 494)(139, 495)(140, 496)(141, 497)(142, 498)(143, 499)(144, 501)(145, 502)(146, 503)(147, 504)(148, 455)(149, 506)(150, 509)(151, 510)(152, 513)(153, 459)(154, 514)(155, 468)(156, 462)(157, 526)(158, 528)(159, 505)(160, 466)(161, 521)(162, 525)(163, 512)(164, 511)(165, 524)(166, 523)(167, 516)(168, 515)(169, 518)(170, 517)(171, 508)(172, 507)(173, 520)(174, 519)(175, 522)(176, 527)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	local type(s) :: { ( 8, 176 ), ( 8, 176, 8, 176 ) }
Outer automorphisms :: reflexible
Dual of E22.1667
Graph:: simple bipartite
	v = 264 e = 352 f = 46
	degree seq :: [ 2^176, 4^88 ]

E22.1669 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 88})
Quotient :: dipole
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^19 * Y3 * Y1^-23 ]
Map::
	R = (1, 177, 2, 178, 5, 181, 11, 187, 20, 196, 29, 205, 37, 213, 45, 221, 53, 229, 61, 237, 101, 277, 118, 294, 122, 298, 126, 302, 131, 307, 136, 312, 142, 318, 169, 345, 174, 350, 175, 351, 171, 347, 165, 341, 162, 338, 157, 333, 154, 330, 149, 325, 143, 319, 108, 284, 99, 275, 96, 272, 91, 267, 88, 264, 83, 259, 79, 255, 72, 248, 76, 252, 73, 249, 66, 242, 58, 234, 50, 226, 42, 218, 34, 210, 26, 202, 16, 192, 23, 199, 17, 193, 24, 200, 32, 208, 40, 216, 48, 224, 56, 232, 64, 240, 103, 279, 109, 285, 110, 286, 111, 287, 114, 290, 117, 293, 121, 297, 125, 301, 129, 305, 134, 310, 141, 317, 176, 352, 170, 346, 166, 342, 161, 337, 158, 334, 153, 329, 150, 326, 144, 320, 106, 282, 100, 276, 95, 271, 92, 268, 87, 263, 84, 260, 77, 253, 74, 250, 68, 244, 60, 236, 52, 228, 44, 220, 36, 212, 28, 204, 19, 195, 10, 186, 4, 180)(3, 179, 7, 183, 15, 191, 25, 201, 33, 209, 41, 217, 49, 225, 57, 233, 65, 241, 105, 281, 113, 289, 116, 292, 120, 296, 124, 300, 128, 304, 133, 309, 138, 314, 146, 322, 173, 349, 167, 343, 164, 340, 159, 335, 156, 332, 151, 327, 148, 324, 140, 316, 102, 278, 130, 306, 93, 269, 98, 274, 85, 261, 90, 266, 75, 251, 82, 258, 70, 246, 81, 257, 63, 239, 54, 230, 47, 223, 38, 214, 31, 207, 21, 197, 14, 190, 6, 182, 13, 189, 9, 185, 18, 194, 27, 203, 35, 211, 43, 219, 51, 227, 59, 235, 67, 243, 107, 283, 112, 288, 115, 291, 119, 295, 123, 299, 127, 303, 132, 308, 137, 313, 145, 321, 172, 348, 168, 344, 163, 339, 160, 336, 155, 331, 152, 328, 147, 323, 139, 315, 135, 311, 97, 273, 104, 280, 89, 265, 94, 270, 80, 256, 86, 262, 71, 247, 78, 254, 69, 245, 62, 238, 55, 231, 46, 222, 39, 215, 30, 206, 22, 198, 12, 188, 8, 184)(353, 529)(354, 530)(355, 531)(356, 532)(357, 533)(358, 534)(359, 535)(360, 536)(361, 537)(362, 538)(363, 539)(364, 540)(365, 541)(366, 542)(367, 543)(368, 544)(369, 545)(370, 546)(371, 547)(372, 548)(373, 549)(374, 550)(375, 551)(376, 552)(377, 553)(378, 554)(379, 555)(380, 556)(381, 557)(382, 558)(383, 559)(384, 560)(385, 561)(386, 562)(387, 563)(388, 564)(389, 565)(390, 566)(391, 567)(392, 568)(393, 569)(394, 570)(395, 571)(396, 572)(397, 573)(398, 574)(399, 575)(400, 576)(401, 577)(402, 578)(403, 579)(404, 580)(405, 581)(406, 582)(407, 583)(408, 584)(409, 585)(410, 586)(411, 587)(412, 588)(413, 589)(414, 590)(415, 591)(416, 592)(417, 593)(418, 594)(419, 595)(420, 596)(421, 597)(422, 598)(423, 599)(424, 600)(425, 601)(426, 602)(427, 603)(428, 604)(429, 605)(430, 606)(431, 607)(432, 608)(433, 609)(434, 610)(435, 611)(436, 612)(437, 613)(438, 614)(439, 615)(440, 616)(441, 617)(442, 618)(443, 619)(444, 620)(445, 621)(446, 622)(447, 623)(448, 624)(449, 625)(450, 626)(451, 627)(452, 628)(453, 629)(454, 630)(455, 631)(456, 632)(457, 633)(458, 634)(459, 635)(460, 636)(461, 637)(462, 638)(463, 639)(464, 640)(465, 641)(466, 642)(467, 643)(468, 644)(469, 645)(470, 646)(471, 647)(472, 648)(473, 649)(474, 650)(475, 651)(476, 652)(477, 653)(478, 654)(479, 655)(480, 656)(481, 657)(482, 658)(483, 659)(484, 660)(485, 661)(486, 662)(487, 663)(488, 664)(489, 665)(490, 666)(491, 667)(492, 668)(493, 669)(494, 670)(495, 671)(496, 672)(497, 673)(498, 674)(499, 675)(500, 676)(501, 677)(502, 678)(503, 679)(504, 680)(505, 681)(506, 682)(507, 683)(508, 684)(509, 685)(510, 686)(511, 687)(512, 688)(513, 689)(514, 690)(515, 691)(516, 692)(517, 693)(518, 694)(519, 695)(520, 696)(521, 697)(522, 698)(523, 699)(524, 700)(525, 701)(526, 702)(527, 703)(528, 704)
	L = (1, 355)(2, 358)(3, 353)(4, 361)(5, 364)(6, 354)(7, 368)(8, 369)(9, 356)(10, 367)(11, 373)(12, 357)(13, 375)(14, 376)(15, 362)(16, 359)(17, 360)(18, 378)(19, 379)(20, 382)(21, 363)(22, 384)(23, 365)(24, 366)(25, 386)(26, 370)(27, 371)(28, 385)(29, 390)(30, 372)(31, 392)(32, 374)(33, 380)(34, 377)(35, 394)(36, 395)(37, 398)(38, 381)(39, 400)(40, 383)(41, 402)(42, 387)(43, 388)(44, 401)(45, 406)(46, 389)(47, 408)(48, 391)(49, 396)(50, 393)(51, 410)(52, 411)(53, 414)(54, 397)(55, 416)(56, 399)(57, 418)(58, 403)(59, 404)(60, 417)(61, 433)(62, 405)(63, 455)(64, 407)(65, 412)(66, 409)(67, 425)(68, 459)(69, 461)(70, 462)(71, 463)(72, 464)(73, 419)(74, 465)(75, 466)(76, 457)(77, 467)(78, 453)(79, 468)(80, 469)(81, 413)(82, 470)(83, 471)(84, 472)(85, 473)(86, 474)(87, 475)(88, 476)(89, 477)(90, 478)(91, 479)(92, 480)(93, 481)(94, 483)(95, 484)(96, 485)(97, 486)(98, 488)(99, 489)(100, 490)(101, 430)(102, 493)(103, 415)(104, 494)(105, 428)(106, 497)(107, 420)(108, 498)(109, 421)(110, 422)(111, 423)(112, 424)(113, 426)(114, 427)(115, 429)(116, 431)(117, 432)(118, 434)(119, 435)(120, 436)(121, 437)(122, 438)(123, 439)(124, 440)(125, 441)(126, 442)(127, 443)(128, 444)(129, 445)(130, 521)(131, 446)(132, 447)(133, 448)(134, 449)(135, 526)(136, 450)(137, 451)(138, 452)(139, 528)(140, 527)(141, 454)(142, 456)(143, 524)(144, 525)(145, 458)(146, 460)(147, 523)(148, 522)(149, 519)(150, 520)(151, 517)(152, 518)(153, 516)(154, 515)(155, 514)(156, 513)(157, 511)(158, 512)(159, 509)(160, 510)(161, 508)(162, 507)(163, 506)(164, 505)(165, 503)(166, 504)(167, 501)(168, 502)(169, 482)(170, 500)(171, 499)(172, 495)(173, 496)(174, 487)(175, 492)(176, 491)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	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, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 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 E22.1666
Graph:: simple bipartite
	v = 178 e = 352 f = 132
	degree seq :: [ 2^176, 176^2 ]

E22.1670 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 88})
Quotient :: dipole
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 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)^2, (Y3 * Y2^-1)^4, Y2^3 * Y1 * Y2^-41 * Y1 ]
Map::
	R = (1, 177, 2, 178)(3, 179, 7, 183)(4, 180, 9, 185)(5, 181, 11, 187)(6, 182, 13, 189)(8, 184, 14, 190)(10, 186, 12, 188)(15, 191, 20, 196)(16, 192, 23, 199)(17, 193, 25, 201)(18, 194, 21, 197)(19, 195, 27, 203)(22, 198, 29, 205)(24, 200, 31, 207)(26, 202, 32, 208)(28, 204, 30, 206)(33, 209, 39, 215)(34, 210, 41, 217)(35, 211, 37, 213)(36, 212, 43, 219)(38, 214, 45, 221)(40, 216, 47, 223)(42, 218, 48, 224)(44, 220, 46, 222)(49, 225, 55, 231)(50, 226, 57, 233)(51, 227, 53, 229)(52, 228, 59, 235)(54, 230, 61, 237)(56, 232, 63, 239)(58, 234, 64, 240)(60, 236, 62, 238)(65, 241, 107, 283)(66, 242, 73, 249)(67, 243, 76, 252)(68, 244, 111, 287)(69, 245, 113, 289)(70, 246, 115, 291)(71, 247, 106, 282)(72, 248, 118, 294)(74, 250, 121, 297)(75, 251, 123, 299)(77, 253, 126, 302)(78, 254, 128, 304)(79, 255, 130, 306)(80, 256, 132, 308)(81, 257, 110, 286)(82, 258, 135, 311)(83, 259, 137, 313)(84, 260, 139, 315)(85, 261, 141, 317)(86, 262, 143, 319)(87, 263, 145, 321)(88, 264, 147, 323)(89, 265, 149, 325)(90, 266, 151, 327)(91, 267, 153, 329)(92, 268, 155, 331)(93, 269, 157, 333)(94, 270, 159, 335)(95, 271, 161, 337)(96, 272, 163, 339)(97, 273, 165, 341)(98, 274, 167, 343)(99, 275, 169, 345)(100, 276, 171, 347)(101, 277, 173, 349)(102, 278, 175, 351)(103, 279, 172, 348)(104, 280, 168, 344)(105, 281, 176, 352)(108, 284, 164, 340)(109, 285, 174, 350)(112, 288, 162, 338)(114, 290, 154, 330)(116, 292, 158, 334)(117, 293, 160, 336)(119, 295, 144, 320)(120, 296, 156, 332)(122, 298, 138, 314)(124, 300, 150, 326)(125, 301, 170, 346)(127, 303, 166, 342)(129, 305, 136, 312)(131, 307, 146, 322)(133, 309, 142, 318)(134, 310, 148, 324)(140, 316, 152, 328)(353, 529, 355, 531, 360, 536, 369, 545, 378, 554, 386, 562, 394, 570, 402, 578, 410, 586, 418, 594, 462, 638, 473, 649, 487, 663, 495, 671, 505, 681, 511, 687, 521, 697, 527, 703, 526, 702, 518, 694, 510, 686, 502, 678, 494, 670, 483, 659, 492, 668, 464, 640, 456, 632, 452, 628, 448, 624, 444, 620, 440, 616, 435, 611, 430, 606, 424, 600, 421, 597, 423, 599, 428, 604, 413, 589, 405, 581, 397, 573, 389, 565, 381, 557, 373, 549, 363, 539, 372, 548, 365, 541, 375, 551, 383, 559, 391, 567, 399, 575, 407, 583, 415, 591, 459, 635, 478, 654, 467, 643, 475, 651, 484, 660, 497, 673, 503, 679, 513, 689, 519, 695, 524, 700, 516, 692, 508, 684, 500, 676, 490, 666, 481, 657, 471, 647, 466, 642, 469, 645, 477, 653, 457, 633, 453, 629, 449, 625, 445, 621, 441, 617, 437, 613, 431, 607, 436, 612, 420, 596, 412, 588, 404, 580, 396, 572, 388, 564, 380, 556, 371, 547, 362, 538, 356, 532)(354, 530, 357, 533, 364, 540, 374, 550, 382, 558, 390, 566, 398, 574, 406, 582, 414, 590, 458, 634, 491, 667, 470, 646, 493, 669, 489, 665, 509, 685, 507, 683, 525, 701, 523, 699, 522, 698, 514, 690, 506, 682, 498, 674, 488, 664, 476, 652, 486, 662, 479, 655, 460, 636, 454, 630, 450, 626, 446, 622, 442, 618, 438, 614, 432, 608, 426, 602, 422, 598, 425, 601, 417, 593, 409, 585, 401, 577, 393, 569, 385, 561, 377, 553, 368, 544, 359, 535, 367, 543, 361, 537, 370, 546, 379, 555, 387, 563, 395, 571, 403, 579, 411, 587, 419, 595, 463, 639, 465, 641, 482, 658, 480, 656, 501, 677, 499, 675, 517, 693, 515, 691, 528, 704, 520, 696, 512, 688, 504, 680, 496, 672, 485, 661, 474, 650, 468, 644, 472, 648, 461, 637, 455, 631, 451, 627, 447, 623, 443, 619, 439, 615, 434, 610, 427, 603, 433, 609, 429, 605, 416, 592, 408, 584, 400, 576, 392, 568, 384, 560, 376, 552, 366, 542, 358, 534)
	L = (1, 354)(2, 353)(3, 359)(4, 361)(5, 363)(6, 365)(7, 355)(8, 366)(9, 356)(10, 364)(11, 357)(12, 362)(13, 358)(14, 360)(15, 372)(16, 375)(17, 377)(18, 373)(19, 379)(20, 367)(21, 370)(22, 381)(23, 368)(24, 383)(25, 369)(26, 384)(27, 371)(28, 382)(29, 374)(30, 380)(31, 376)(32, 378)(33, 391)(34, 393)(35, 389)(36, 395)(37, 387)(38, 397)(39, 385)(40, 399)(41, 386)(42, 400)(43, 388)(44, 398)(45, 390)(46, 396)(47, 392)(48, 394)(49, 407)(50, 409)(51, 405)(52, 411)(53, 403)(54, 413)(55, 401)(56, 415)(57, 402)(58, 416)(59, 404)(60, 414)(61, 406)(62, 412)(63, 408)(64, 410)(65, 459)(66, 425)(67, 428)(68, 463)(69, 465)(70, 467)(71, 458)(72, 470)(73, 418)(74, 473)(75, 475)(76, 419)(77, 478)(78, 480)(79, 482)(80, 484)(81, 462)(82, 487)(83, 489)(84, 491)(85, 493)(86, 495)(87, 497)(88, 499)(89, 501)(90, 503)(91, 505)(92, 507)(93, 509)(94, 511)(95, 513)(96, 515)(97, 517)(98, 519)(99, 521)(100, 523)(101, 525)(102, 527)(103, 524)(104, 520)(105, 528)(106, 423)(107, 417)(108, 516)(109, 526)(110, 433)(111, 420)(112, 514)(113, 421)(114, 506)(115, 422)(116, 510)(117, 512)(118, 424)(119, 496)(120, 508)(121, 426)(122, 490)(123, 427)(124, 502)(125, 522)(126, 429)(127, 518)(128, 430)(129, 488)(130, 431)(131, 498)(132, 432)(133, 494)(134, 500)(135, 434)(136, 481)(137, 435)(138, 474)(139, 436)(140, 504)(141, 437)(142, 485)(143, 438)(144, 471)(145, 439)(146, 483)(147, 440)(148, 486)(149, 441)(150, 476)(151, 442)(152, 492)(153, 443)(154, 466)(155, 444)(156, 472)(157, 445)(158, 468)(159, 446)(160, 469)(161, 447)(162, 464)(163, 448)(164, 460)(165, 449)(166, 479)(167, 450)(168, 456)(169, 451)(170, 477)(171, 452)(172, 455)(173, 453)(174, 461)(175, 454)(176, 457)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	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, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E22.1671
Graph:: bipartite
	v = 90 e = 352 f = 220
	degree seq :: [ 4^88, 176^2 ]

E22.1671 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 88})
Quotient :: dipole
Aut^+ = C88 : C2 (small group id <176, 5>)
Aut   = (C2 x D88) : C2 (small group id <352, 103>)
|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, Y1^-1 * Y3^-44 * Y1^-1, (Y3 * Y2^-1)^88 ]
Map::
	R = (1, 177, 2, 178, 6, 182, 4, 180)(3, 179, 9, 185, 13, 189, 8, 184)(5, 181, 11, 187, 14, 190, 7, 183)(10, 186, 16, 192, 21, 197, 17, 193)(12, 188, 15, 191, 22, 198, 19, 195)(18, 194, 25, 201, 29, 205, 24, 200)(20, 196, 27, 203, 30, 206, 23, 199)(26, 202, 32, 208, 37, 213, 33, 209)(28, 204, 31, 207, 38, 214, 35, 211)(34, 210, 41, 217, 45, 221, 40, 216)(36, 212, 43, 219, 46, 222, 39, 215)(42, 218, 48, 224, 53, 229, 49, 225)(44, 220, 47, 223, 54, 230, 51, 227)(50, 226, 57, 233, 61, 237, 56, 232)(52, 228, 59, 235, 62, 238, 55, 231)(58, 234, 64, 240, 73, 249, 65, 241)(60, 236, 63, 239, 102, 278, 67, 243)(66, 242, 105, 281, 70, 246, 108, 284)(68, 244, 69, 245, 107, 283, 72, 248)(71, 247, 109, 285, 77, 253, 110, 286)(74, 250, 111, 287, 75, 251, 112, 288)(76, 252, 113, 289, 81, 257, 114, 290)(78, 254, 115, 291, 79, 255, 116, 292)(80, 256, 117, 293, 85, 261, 118, 294)(82, 258, 119, 295, 83, 259, 120, 296)(84, 260, 121, 297, 89, 265, 122, 298)(86, 262, 123, 299, 87, 263, 124, 300)(88, 264, 125, 301, 93, 269, 126, 302)(90, 266, 127, 303, 91, 267, 128, 304)(92, 268, 129, 305, 97, 273, 130, 306)(94, 270, 131, 307, 95, 271, 132, 308)(96, 272, 133, 309, 101, 277, 135, 311)(98, 274, 136, 312, 99, 275, 137, 313)(100, 276, 138, 314, 134, 310, 140, 316)(103, 279, 141, 317, 104, 280, 143, 319)(106, 282, 145, 321, 139, 315, 147, 323)(142, 318, 175, 351, 144, 320, 176, 352)(146, 322, 173, 349, 148, 324, 174, 350)(149, 325, 172, 348, 150, 326, 171, 347)(151, 327, 170, 346, 152, 328, 169, 345)(153, 329, 167, 343, 154, 330, 168, 344)(155, 331, 165, 341, 156, 332, 166, 342)(157, 333, 164, 340, 158, 334, 163, 339)(159, 335, 162, 338, 160, 336, 161, 337)(353, 529)(354, 530)(355, 531)(356, 532)(357, 533)(358, 534)(359, 535)(360, 536)(361, 537)(362, 538)(363, 539)(364, 540)(365, 541)(366, 542)(367, 543)(368, 544)(369, 545)(370, 546)(371, 547)(372, 548)(373, 549)(374, 550)(375, 551)(376, 552)(377, 553)(378, 554)(379, 555)(380, 556)(381, 557)(382, 558)(383, 559)(384, 560)(385, 561)(386, 562)(387, 563)(388, 564)(389, 565)(390, 566)(391, 567)(392, 568)(393, 569)(394, 570)(395, 571)(396, 572)(397, 573)(398, 574)(399, 575)(400, 576)(401, 577)(402, 578)(403, 579)(404, 580)(405, 581)(406, 582)(407, 583)(408, 584)(409, 585)(410, 586)(411, 587)(412, 588)(413, 589)(414, 590)(415, 591)(416, 592)(417, 593)(418, 594)(419, 595)(420, 596)(421, 597)(422, 598)(423, 599)(424, 600)(425, 601)(426, 602)(427, 603)(428, 604)(429, 605)(430, 606)(431, 607)(432, 608)(433, 609)(434, 610)(435, 611)(436, 612)(437, 613)(438, 614)(439, 615)(440, 616)(441, 617)(442, 618)(443, 619)(444, 620)(445, 621)(446, 622)(447, 623)(448, 624)(449, 625)(450, 626)(451, 627)(452, 628)(453, 629)(454, 630)(455, 631)(456, 632)(457, 633)(458, 634)(459, 635)(460, 636)(461, 637)(462, 638)(463, 639)(464, 640)(465, 641)(466, 642)(467, 643)(468, 644)(469, 645)(470, 646)(471, 647)(472, 648)(473, 649)(474, 650)(475, 651)(476, 652)(477, 653)(478, 654)(479, 655)(480, 656)(481, 657)(482, 658)(483, 659)(484, 660)(485, 661)(486, 662)(487, 663)(488, 664)(489, 665)(490, 666)(491, 667)(492, 668)(493, 669)(494, 670)(495, 671)(496, 672)(497, 673)(498, 674)(499, 675)(500, 676)(501, 677)(502, 678)(503, 679)(504, 680)(505, 681)(506, 682)(507, 683)(508, 684)(509, 685)(510, 686)(511, 687)(512, 688)(513, 689)(514, 690)(515, 691)(516, 692)(517, 693)(518, 694)(519, 695)(520, 696)(521, 697)(522, 698)(523, 699)(524, 700)(525, 701)(526, 702)(527, 703)(528, 704)
	L = (1, 355)(2, 359)(3, 362)(4, 363)(5, 353)(6, 365)(7, 367)(8, 354)(9, 356)(10, 370)(11, 371)(12, 357)(13, 373)(14, 358)(15, 375)(16, 360)(17, 361)(18, 378)(19, 379)(20, 364)(21, 381)(22, 366)(23, 383)(24, 368)(25, 369)(26, 386)(27, 387)(28, 372)(29, 389)(30, 374)(31, 391)(32, 376)(33, 377)(34, 394)(35, 395)(36, 380)(37, 397)(38, 382)(39, 399)(40, 384)(41, 385)(42, 402)(43, 403)(44, 388)(45, 405)(46, 390)(47, 407)(48, 392)(49, 393)(50, 410)(51, 411)(52, 396)(53, 413)(54, 398)(55, 415)(56, 400)(57, 401)(58, 418)(59, 419)(60, 404)(61, 425)(62, 406)(63, 424)(64, 408)(65, 409)(66, 427)(67, 421)(68, 412)(69, 429)(70, 426)(71, 433)(72, 423)(73, 422)(74, 431)(75, 430)(76, 437)(77, 428)(78, 435)(79, 434)(80, 441)(81, 432)(82, 439)(83, 438)(84, 445)(85, 436)(86, 443)(87, 442)(88, 449)(89, 440)(90, 447)(91, 446)(92, 453)(93, 444)(94, 451)(95, 450)(96, 486)(97, 448)(98, 456)(99, 455)(100, 491)(101, 452)(102, 414)(103, 494)(104, 496)(105, 417)(106, 498)(107, 454)(108, 416)(109, 459)(110, 420)(111, 457)(112, 460)(113, 461)(114, 462)(115, 463)(116, 464)(117, 465)(118, 466)(119, 467)(120, 468)(121, 469)(122, 470)(123, 471)(124, 472)(125, 473)(126, 474)(127, 475)(128, 476)(129, 477)(130, 478)(131, 479)(132, 480)(133, 481)(134, 458)(135, 482)(136, 483)(137, 484)(138, 485)(139, 500)(140, 487)(141, 488)(142, 502)(143, 489)(144, 501)(145, 490)(146, 504)(147, 492)(148, 503)(149, 506)(150, 505)(151, 508)(152, 507)(153, 510)(154, 509)(155, 512)(156, 511)(157, 514)(158, 513)(159, 516)(160, 515)(161, 518)(162, 517)(163, 520)(164, 519)(165, 522)(166, 521)(167, 524)(168, 523)(169, 526)(170, 525)(171, 528)(172, 527)(173, 499)(174, 497)(175, 495)(176, 493)(177, 529)(178, 530)(179, 531)(180, 532)(181, 533)(182, 534)(183, 535)(184, 536)(185, 537)(186, 538)(187, 539)(188, 540)(189, 541)(190, 542)(191, 543)(192, 544)(193, 545)(194, 546)(195, 547)(196, 548)(197, 549)(198, 550)(199, 551)(200, 552)(201, 553)(202, 554)(203, 555)(204, 556)(205, 557)(206, 558)(207, 559)(208, 560)(209, 561)(210, 562)(211, 563)(212, 564)(213, 565)(214, 566)(215, 567)(216, 568)(217, 569)(218, 570)(219, 571)(220, 572)(221, 573)(222, 574)(223, 575)(224, 576)(225, 577)(226, 578)(227, 579)(228, 580)(229, 581)(230, 582)(231, 583)(232, 584)(233, 585)(234, 586)(235, 587)(236, 588)(237, 589)(238, 590)(239, 591)(240, 592)(241, 593)(242, 594)(243, 595)(244, 596)(245, 597)(246, 598)(247, 599)(248, 600)(249, 601)(250, 602)(251, 603)(252, 604)(253, 605)(254, 606)(255, 607)(256, 608)(257, 609)(258, 610)(259, 611)(260, 612)(261, 613)(262, 614)(263, 615)(264, 616)(265, 617)(266, 618)(267, 619)(268, 620)(269, 621)(270, 622)(271, 623)(272, 624)(273, 625)(274, 626)(275, 627)(276, 628)(277, 629)(278, 630)(279, 631)(280, 632)(281, 633)(282, 634)(283, 635)(284, 636)(285, 637)(286, 638)(287, 639)(288, 640)(289, 641)(290, 642)(291, 643)(292, 644)(293, 645)(294, 646)(295, 647)(296, 648)(297, 649)(298, 650)(299, 651)(300, 652)(301, 653)(302, 654)(303, 655)(304, 656)(305, 657)(306, 658)(307, 659)(308, 660)(309, 661)(310, 662)(311, 663)(312, 664)(313, 665)(314, 666)(315, 667)(316, 668)(317, 669)(318, 670)(319, 671)(320, 672)(321, 673)(322, 674)(323, 675)(324, 676)(325, 677)(326, 678)(327, 679)(328, 680)(329, 681)(330, 682)(331, 683)(332, 684)(333, 685)(334, 686)(335, 687)(336, 688)(337, 689)(338, 690)(339, 691)(340, 692)(341, 693)(342, 694)(343, 695)(344, 696)(345, 697)(346, 698)(347, 699)(348, 700)(349, 701)(350, 702)(351, 703)(352, 704)
	local type(s) :: { ( 4, 176 ), ( 4, 176, 4, 176, 4, 176, 4, 176 ) }
Outer automorphisms :: reflexible
Dual of E22.1670
Graph:: simple bipartite
	v = 220 e = 352 f = 90
	degree seq :: [ 2^176, 8^44 ]

E22.1672 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 46})
Quotient :: regular
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^46 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 85, 82, 86, 90, 94, 98, 102, 107, 128, 118, 112, 114, 120, 130, 140, 150, 158, 166, 174, 177, 171, 161, 155, 145, 137, 123, 131, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 74, 80, 77, 83, 88, 92, 96, 100, 104, 110, 125, 116, 124, 134, 146, 154, 162, 170, 178, 184, 165, 175, 149, 159, 129, 143, 113, 141, 117, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 76, 71, 75, 81, 87, 91, 95, 99, 103, 108, 122, 132, 127, 138, 148, 156, 164, 172, 180, 173, 181, 157, 167, 139, 151, 119, 135, 111, 105, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 78, 72, 69, 70, 73, 79, 84, 89, 93, 97, 101, 106, 142, 136, 144, 152, 160, 168, 176, 182, 183, 179, 169, 163, 153, 147, 133, 126, 115, 121, 109, 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, 105)(63, 78)(67, 109)(68, 76)(69, 111)(70, 113)(71, 115)(72, 117)(73, 119)(74, 121)(75, 123)(77, 126)(79, 129)(80, 131)(81, 133)(82, 135)(83, 137)(84, 139)(85, 141)(86, 143)(87, 145)(88, 147)(89, 149)(90, 151)(91, 153)(92, 155)(93, 157)(94, 159)(95, 161)(96, 163)(97, 165)(98, 167)(99, 169)(100, 171)(101, 173)(102, 175)(103, 177)(104, 179)(106, 178)(107, 181)(108, 183)(110, 174)(112, 170)(114, 164)(116, 158)(118, 180)(120, 154)(122, 166)(124, 168)(125, 182)(127, 150)(128, 184)(130, 148)(132, 176)(134, 140)(136, 162)(138, 160)(142, 172)(144, 156)(146, 152)
	local type(s) :: { ( 4^46 ) }
Outer automorphisms :: reflexible
Dual of E22.1673
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 92 f = 46
	degree seq :: [ 46^4 ]

E22.1673 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 46})
Quotient :: regular
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^46 ]
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, 69, 38, 70)(39, 71, 43, 73)(40, 74, 42, 76)(41, 75, 48, 78)(44, 79, 47, 72)(45, 81, 46, 82)(49, 85, 50, 86)(51, 84, 52, 77)(53, 83, 54, 80)(55, 89, 56, 90)(57, 91, 58, 92)(59, 88, 60, 87)(61, 93, 62, 94)(63, 95, 64, 96)(65, 97, 66, 98)(67, 99, 68, 100)(101, 133, 102, 134)(103, 135, 104, 137)(105, 136, 106, 138)(107, 141, 108, 143)(109, 142, 110, 144)(111, 145, 112, 146)(113, 140, 114, 139)(115, 149, 116, 150)(117, 151, 118, 152)(119, 148, 120, 147)(121, 153, 122, 154)(123, 155, 124, 156)(125, 157, 126, 158)(127, 159, 128, 160)(129, 161, 130, 162)(131, 163, 132, 164)(165, 184, 166, 183)(167, 177, 168, 178)(169, 176, 170, 175)(171, 173, 172, 174)(179, 181, 180, 182)
	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, 72)(40, 75)(41, 77)(42, 78)(43, 79)(44, 80)(45, 71)(46, 73)(47, 83)(48, 84)(49, 74)(50, 76)(51, 87)(52, 88)(53, 69)(54, 70)(55, 81)(56, 82)(57, 85)(58, 86)(61, 89)(62, 90)(63, 91)(64, 92)(65, 93)(66, 94)(67, 95)(68, 96)(97, 101)(98, 102)(99, 120)(100, 119)(103, 136)(104, 138)(105, 139)(106, 140)(107, 142)(108, 144)(109, 145)(110, 146)(111, 147)(112, 148)(113, 134)(114, 133)(115, 135)(116, 137)(117, 141)(118, 143)(121, 149)(122, 150)(123, 151)(124, 152)(125, 153)(126, 154)(127, 155)(128, 156)(129, 157)(130, 158)(131, 159)(132, 160)(161, 165)(162, 166)(163, 179)(164, 180)(167, 176)(168, 175)(169, 173)(170, 174)(171, 184)(172, 183)(177, 181)(178, 182)
	local type(s) :: { ( 46^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1672
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 46 e = 92 f = 4
	degree seq :: [ 4^46 ]

E22.1674 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 46})
Quotient :: edge
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^46 ]
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, 69, 36, 71)(39, 74, 46, 76)(40, 78, 49, 80)(41, 82, 42, 77)(43, 87, 44, 73)(45, 91, 47, 93)(48, 96, 50, 98)(51, 84, 52, 81)(53, 89, 54, 86)(55, 109, 56, 111)(57, 113, 58, 115)(59, 103, 60, 101)(61, 107, 62, 105)(63, 121, 64, 123)(65, 125, 66, 127)(67, 129, 68, 131)(70, 133, 72, 135)(75, 138, 94, 140)(79, 142, 99, 144)(83, 146, 85, 141)(88, 151, 90, 137)(92, 155, 95, 157)(97, 160, 100, 162)(102, 148, 104, 145)(106, 153, 108, 150)(110, 173, 112, 175)(114, 177, 116, 179)(117, 167, 118, 165)(119, 171, 120, 169)(122, 180, 124, 178)(126, 176, 128, 174)(130, 161, 132, 164)(134, 156, 136, 159)(139, 181, 158, 182)(143, 183, 163, 184)(147, 172, 149, 170)(152, 168, 154, 166)(185, 186)(187, 191)(188, 193)(189, 194)(190, 196)(192, 195)(197, 201)(198, 202)(199, 203)(200, 204)(205, 209)(206, 210)(207, 211)(208, 212)(213, 217)(214, 218)(215, 219)(216, 220)(221, 245)(222, 246)(223, 257)(224, 261)(225, 265)(226, 268)(227, 270)(228, 273)(229, 258)(230, 271)(231, 260)(232, 262)(233, 266)(234, 264)(235, 285)(236, 287)(237, 289)(238, 291)(239, 275)(240, 277)(241, 280)(242, 282)(243, 253)(244, 255)(247, 293)(248, 295)(249, 297)(250, 299)(251, 305)(252, 307)(254, 309)(256, 311)(259, 321)(263, 325)(267, 329)(269, 332)(272, 334)(274, 337)(276, 322)(278, 335)(279, 324)(281, 326)(283, 330)(284, 328)(286, 349)(288, 351)(290, 353)(292, 355)(294, 339)(296, 341)(298, 344)(300, 346)(301, 317)(302, 319)(303, 313)(304, 315)(306, 357)(308, 359)(310, 361)(312, 363)(314, 364)(316, 362)(318, 360)(320, 358)(323, 350)(327, 354)(331, 338)(333, 336)(340, 365)(342, 352)(343, 366)(345, 367)(347, 356)(348, 368)
	L = (1, 185)(2, 186)(3, 187)(4, 188)(5, 189)(6, 190)(7, 191)(8, 192)(9, 193)(10, 194)(11, 195)(12, 196)(13, 197)(14, 198)(15, 199)(16, 200)(17, 201)(18, 202)(19, 203)(20, 204)(21, 205)(22, 206)(23, 207)(24, 208)(25, 209)(26, 210)(27, 211)(28, 212)(29, 213)(30, 214)(31, 215)(32, 216)(33, 217)(34, 218)(35, 219)(36, 220)(37, 221)(38, 222)(39, 223)(40, 224)(41, 225)(42, 226)(43, 227)(44, 228)(45, 229)(46, 230)(47, 231)(48, 232)(49, 233)(50, 234)(51, 235)(52, 236)(53, 237)(54, 238)(55, 239)(56, 240)(57, 241)(58, 242)(59, 243)(60, 244)(61, 245)(62, 246)(63, 247)(64, 248)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 257)(74, 258)(75, 259)(76, 260)(77, 261)(78, 262)(79, 263)(80, 264)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 273)(90, 274)(91, 275)(92, 276)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 92, 92 ), ( 92^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1678
Transitivity :: ET+
Graph:: simple bipartite
	v = 138 e = 184 f = 4
	degree seq :: [ 2^92, 4^46 ]

E22.1675 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 46})
Quotient :: edge
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^46 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 73, 79, 82, 87, 90, 95, 98, 104, 144, 150, 153, 158, 161, 166, 169, 174, 177, 182, 145, 138, 133, 129, 125, 121, 117, 113, 109, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 69, 77, 76, 85, 84, 93, 92, 101, 100, 139, 148, 152, 155, 160, 163, 168, 171, 176, 181, 178, 141, 136, 131, 127, 123, 119, 115, 111, 108, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 72, 71, 81, 80, 89, 88, 97, 96, 134, 106, 146, 151, 156, 159, 164, 167, 172, 175, 184, 179, 143, 137, 132, 128, 124, 120, 116, 112, 105, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 75, 70, 74, 78, 83, 86, 91, 94, 99, 103, 142, 149, 154, 157, 162, 165, 170, 173, 180, 183, 147, 140, 135, 130, 126, 122, 118, 114, 110, 107, 102, 62, 54, 46, 38, 30, 22, 14)(185, 186, 190, 188)(187, 193, 197, 192)(189, 195, 198, 191)(194, 200, 205, 201)(196, 199, 206, 203)(202, 209, 213, 208)(204, 211, 214, 207)(210, 216, 221, 217)(212, 215, 222, 219)(218, 225, 229, 224)(220, 227, 230, 223)(226, 232, 237, 233)(228, 231, 238, 235)(234, 241, 245, 240)(236, 243, 246, 239)(242, 248, 259, 249)(244, 247, 286, 251)(250, 289, 254, 292)(252, 256, 291, 253)(255, 293, 261, 294)(257, 295, 258, 296)(260, 297, 265, 298)(262, 299, 263, 300)(264, 301, 269, 302)(266, 303, 267, 304)(268, 305, 273, 306)(270, 307, 271, 308)(272, 309, 277, 310)(274, 311, 275, 312)(276, 313, 281, 314)(278, 315, 279, 316)(280, 317, 285, 319)(282, 320, 283, 321)(284, 322, 318, 324)(287, 325, 288, 327)(290, 329, 323, 331)(326, 363, 328, 362)(330, 367, 332, 366)(333, 365, 334, 368)(335, 361, 336, 364)(337, 360, 338, 359)(339, 358, 340, 357)(341, 355, 342, 356)(343, 353, 344, 354)(345, 352, 346, 351)(347, 350, 348, 349)
	L = (1, 185)(2, 186)(3, 187)(4, 188)(5, 189)(6, 190)(7, 191)(8, 192)(9, 193)(10, 194)(11, 195)(12, 196)(13, 197)(14, 198)(15, 199)(16, 200)(17, 201)(18, 202)(19, 203)(20, 204)(21, 205)(22, 206)(23, 207)(24, 208)(25, 209)(26, 210)(27, 211)(28, 212)(29, 213)(30, 214)(31, 215)(32, 216)(33, 217)(34, 218)(35, 219)(36, 220)(37, 221)(38, 222)(39, 223)(40, 224)(41, 225)(42, 226)(43, 227)(44, 228)(45, 229)(46, 230)(47, 231)(48, 232)(49, 233)(50, 234)(51, 235)(52, 236)(53, 237)(54, 238)(55, 239)(56, 240)(57, 241)(58, 242)(59, 243)(60, 244)(61, 245)(62, 246)(63, 247)(64, 248)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 257)(74, 258)(75, 259)(76, 260)(77, 261)(78, 262)(79, 263)(80, 264)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 273)(90, 274)(91, 275)(92, 276)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 4^4 ), ( 4^46 ) }
Outer automorphisms :: reflexible
Dual of E22.1679
Transitivity :: ET+
Graph:: simple bipartite
	v = 50 e = 184 f = 92
	degree seq :: [ 4^46, 46^4 ]

E22.1676 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 46})
Quotient :: edge
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^46 ]
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, 105)(63, 82)(67, 109)(68, 70)(69, 111)(71, 112)(72, 113)(73, 114)(74, 115)(75, 116)(76, 117)(77, 118)(78, 119)(79, 120)(80, 121)(81, 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, 141)(101, 142)(102, 143)(103, 144)(104, 146)(106, 148)(107, 150)(108, 151)(110, 153)(140, 180)(145, 182)(147, 181)(149, 184)(152, 178)(154, 177)(155, 176)(156, 173)(157, 172)(158, 179)(159, 169)(160, 168)(161, 183)(162, 175)(163, 174)(164, 165)(166, 171)(167, 170)(185, 186, 189, 195, 204, 213, 221, 229, 237, 245, 255, 257, 261, 268, 273, 277, 281, 285, 290, 331, 339, 341, 344, 349, 353, 357, 361, 337, 330, 325, 320, 316, 312, 307, 301, 297, 295, 252, 244, 236, 228, 220, 212, 203, 194, 188)(187, 191, 199, 209, 217, 225, 233, 241, 249, 265, 253, 264, 260, 275, 272, 283, 280, 292, 288, 329, 338, 347, 343, 355, 352, 363, 360, 368, 332, 327, 321, 318, 313, 309, 302, 300, 296, 299, 246, 239, 230, 223, 214, 206, 196, 192)(190, 197, 193, 202, 211, 219, 227, 235, 243, 251, 254, 270, 256, 271, 267, 279, 276, 287, 284, 324, 294, 336, 340, 351, 348, 359, 356, 367, 365, 334, 326, 322, 317, 314, 308, 304, 298, 303, 289, 247, 238, 231, 222, 215, 205, 198)(200, 207, 201, 208, 216, 224, 232, 240, 248, 266, 258, 262, 259, 263, 269, 274, 278, 282, 286, 291, 333, 345, 342, 346, 350, 354, 358, 362, 366, 364, 335, 328, 323, 319, 315, 311, 305, 310, 306, 293, 250, 242, 234, 226, 218, 210)
	L = (1, 185)(2, 186)(3, 187)(4, 188)(5, 189)(6, 190)(7, 191)(8, 192)(9, 193)(10, 194)(11, 195)(12, 196)(13, 197)(14, 198)(15, 199)(16, 200)(17, 201)(18, 202)(19, 203)(20, 204)(21, 205)(22, 206)(23, 207)(24, 208)(25, 209)(26, 210)(27, 211)(28, 212)(29, 213)(30, 214)(31, 215)(32, 216)(33, 217)(34, 218)(35, 219)(36, 220)(37, 221)(38, 222)(39, 223)(40, 224)(41, 225)(42, 226)(43, 227)(44, 228)(45, 229)(46, 230)(47, 231)(48, 232)(49, 233)(50, 234)(51, 235)(52, 236)(53, 237)(54, 238)(55, 239)(56, 240)(57, 241)(58, 242)(59, 243)(60, 244)(61, 245)(62, 246)(63, 247)(64, 248)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 257)(74, 258)(75, 259)(76, 260)(77, 261)(78, 262)(79, 263)(80, 264)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 273)(90, 274)(91, 275)(92, 276)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)
	local type(s) :: { ( 8, 8 ), ( 8^46 ) }
Outer automorphisms :: reflexible
Dual of E22.1677
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 184 f = 46
	degree seq :: [ 2^92, 46^4 ]

E22.1677 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 46})
Quotient :: loop
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^46 ]
Map::
	R = (1, 185, 3, 187, 8, 192, 4, 188)(2, 186, 5, 189, 11, 195, 6, 190)(7, 191, 13, 197, 9, 193, 14, 198)(10, 194, 15, 199, 12, 196, 16, 200)(17, 201, 21, 205, 18, 202, 22, 206)(19, 203, 23, 207, 20, 204, 24, 208)(25, 209, 29, 213, 26, 210, 30, 214)(27, 211, 31, 215, 28, 212, 32, 216)(33, 217, 37, 221, 34, 218, 38, 222)(35, 219, 73, 257, 36, 220, 75, 259)(39, 223, 78, 262, 46, 230, 80, 264)(40, 224, 82, 266, 49, 233, 84, 268)(41, 225, 86, 270, 42, 226, 81, 265)(43, 227, 91, 275, 44, 228, 77, 261)(45, 229, 95, 279, 47, 231, 97, 281)(48, 232, 100, 284, 50, 234, 102, 286)(51, 235, 88, 272, 52, 236, 85, 269)(53, 237, 93, 277, 54, 238, 90, 274)(55, 239, 113, 297, 56, 240, 115, 299)(57, 241, 117, 301, 58, 242, 119, 303)(59, 243, 107, 291, 60, 244, 105, 289)(61, 245, 111, 295, 62, 246, 109, 293)(63, 247, 129, 313, 64, 248, 131, 315)(65, 249, 133, 317, 66, 250, 135, 319)(67, 251, 123, 307, 68, 252, 121, 305)(69, 253, 127, 311, 70, 254, 125, 309)(71, 255, 141, 325, 72, 256, 143, 327)(74, 258, 146, 330, 76, 260, 145, 329)(79, 263, 152, 336, 98, 282, 150, 334)(83, 267, 156, 340, 103, 287, 153, 337)(87, 271, 154, 338, 89, 273, 155, 339)(92, 276, 149, 333, 94, 278, 151, 335)(96, 280, 160, 344, 99, 283, 159, 343)(101, 285, 164, 348, 104, 288, 163, 347)(106, 290, 157, 341, 108, 292, 158, 342)(110, 294, 161, 345, 112, 296, 162, 346)(114, 298, 168, 352, 116, 300, 167, 351)(118, 302, 172, 356, 120, 304, 171, 355)(122, 306, 165, 349, 124, 308, 166, 350)(126, 310, 169, 353, 128, 312, 170, 354)(130, 314, 176, 360, 132, 316, 175, 359)(134, 318, 180, 364, 136, 320, 179, 363)(137, 321, 173, 357, 138, 322, 174, 358)(139, 323, 177, 361, 140, 324, 178, 362)(142, 326, 182, 366, 144, 328, 181, 365)(147, 331, 184, 368, 148, 332, 183, 367)
	L = (1, 186)(2, 185)(3, 191)(4, 193)(5, 194)(6, 196)(7, 187)(8, 195)(9, 188)(10, 189)(11, 192)(12, 190)(13, 201)(14, 202)(15, 203)(16, 204)(17, 197)(18, 198)(19, 199)(20, 200)(21, 209)(22, 210)(23, 211)(24, 212)(25, 205)(26, 206)(27, 207)(28, 208)(29, 217)(30, 218)(31, 219)(32, 220)(33, 213)(34, 214)(35, 215)(36, 216)(37, 253)(38, 254)(39, 261)(40, 265)(41, 269)(42, 272)(43, 274)(44, 277)(45, 262)(46, 275)(47, 264)(48, 266)(49, 270)(50, 268)(51, 289)(52, 291)(53, 293)(54, 295)(55, 279)(56, 281)(57, 284)(58, 286)(59, 305)(60, 307)(61, 309)(62, 311)(63, 297)(64, 299)(65, 301)(66, 303)(67, 257)(68, 259)(69, 221)(70, 222)(71, 313)(72, 315)(73, 251)(74, 317)(75, 252)(76, 319)(77, 223)(78, 229)(79, 335)(80, 231)(81, 224)(82, 232)(83, 339)(84, 234)(85, 225)(86, 233)(87, 342)(88, 226)(89, 341)(90, 227)(91, 230)(92, 346)(93, 228)(94, 345)(95, 239)(96, 336)(97, 240)(98, 333)(99, 334)(100, 241)(101, 340)(102, 242)(103, 338)(104, 337)(105, 235)(106, 350)(107, 236)(108, 349)(109, 237)(110, 354)(111, 238)(112, 353)(113, 247)(114, 344)(115, 248)(116, 343)(117, 249)(118, 348)(119, 250)(120, 347)(121, 243)(122, 358)(123, 244)(124, 357)(125, 245)(126, 362)(127, 246)(128, 361)(129, 255)(130, 352)(131, 256)(132, 351)(133, 258)(134, 356)(135, 260)(136, 355)(137, 330)(138, 329)(139, 325)(140, 327)(141, 323)(142, 360)(143, 324)(144, 359)(145, 322)(146, 321)(147, 364)(148, 363)(149, 282)(150, 283)(151, 263)(152, 280)(153, 288)(154, 287)(155, 267)(156, 285)(157, 273)(158, 271)(159, 300)(160, 298)(161, 278)(162, 276)(163, 304)(164, 302)(165, 292)(166, 290)(167, 316)(168, 314)(169, 296)(170, 294)(171, 320)(172, 318)(173, 308)(174, 306)(175, 328)(176, 326)(177, 312)(178, 310)(179, 332)(180, 331)(181, 368)(182, 367)(183, 366)(184, 365)
	local type(s) :: { ( 2, 46, 2, 46, 2, 46, 2, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1676
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 46 e = 184 f = 96
	degree seq :: [ 8^46 ]

E22.1678 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 46})
Quotient :: loop
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^46 ]
Map::
	R = (1, 185, 3, 187, 10, 194, 18, 202, 26, 210, 34, 218, 42, 226, 50, 234, 58, 242, 66, 250, 70, 254, 77, 261, 81, 265, 87, 271, 90, 274, 95, 279, 98, 282, 103, 287, 107, 291, 150, 334, 157, 341, 162, 346, 165, 349, 170, 354, 173, 357, 178, 362, 181, 365, 153, 337, 146, 330, 141, 325, 137, 321, 133, 317, 129, 313, 125, 309, 121, 305, 116, 300, 111, 295, 68, 252, 60, 244, 52, 236, 44, 228, 36, 220, 28, 212, 20, 204, 12, 196, 5, 189)(2, 186, 7, 191, 15, 199, 23, 207, 31, 215, 39, 223, 47, 231, 55, 239, 63, 247, 71, 255, 74, 258, 73, 257, 85, 269, 84, 268, 93, 277, 92, 276, 101, 285, 100, 284, 142, 326, 110, 294, 154, 338, 159, 343, 164, 348, 167, 351, 172, 356, 175, 359, 180, 364, 183, 367, 149, 333, 144, 328, 139, 323, 135, 319, 131, 315, 127, 311, 123, 307, 119, 303, 113, 297, 118, 302, 64, 248, 56, 240, 48, 232, 40, 224, 32, 216, 24, 208, 16, 200, 8, 192)(4, 188, 11, 195, 19, 203, 27, 211, 35, 219, 43, 227, 51, 235, 59, 243, 67, 251, 79, 263, 69, 253, 80, 264, 78, 262, 89, 273, 88, 272, 97, 281, 96, 280, 105, 289, 104, 288, 147, 331, 156, 340, 160, 344, 163, 347, 168, 352, 171, 355, 176, 360, 179, 363, 184, 368, 151, 335, 145, 329, 140, 324, 136, 320, 132, 316, 128, 312, 124, 308, 120, 304, 114, 298, 109, 293, 65, 249, 57, 241, 49, 233, 41, 225, 33, 217, 25, 209, 17, 201, 9, 193)(6, 190, 13, 197, 21, 205, 29, 213, 37, 221, 45, 229, 53, 237, 61, 245, 83, 267, 75, 259, 72, 256, 76, 260, 82, 266, 86, 270, 91, 275, 94, 278, 99, 283, 102, 286, 108, 292, 152, 336, 158, 342, 161, 345, 166, 350, 169, 353, 174, 358, 177, 361, 182, 366, 155, 339, 148, 332, 143, 327, 138, 322, 134, 318, 130, 314, 126, 310, 122, 306, 117, 301, 112, 296, 115, 299, 106, 290, 62, 246, 54, 238, 46, 230, 38, 222, 30, 214, 22, 206, 14, 198)
	L = (1, 186)(2, 190)(3, 193)(4, 185)(5, 195)(6, 188)(7, 189)(8, 187)(9, 197)(10, 200)(11, 198)(12, 199)(13, 192)(14, 191)(15, 206)(16, 205)(17, 194)(18, 209)(19, 196)(20, 211)(21, 201)(22, 203)(23, 204)(24, 202)(25, 213)(26, 216)(27, 214)(28, 215)(29, 208)(30, 207)(31, 222)(32, 221)(33, 210)(34, 225)(35, 212)(36, 227)(37, 217)(38, 219)(39, 220)(40, 218)(41, 229)(42, 232)(43, 230)(44, 231)(45, 224)(46, 223)(47, 238)(48, 237)(49, 226)(50, 241)(51, 228)(52, 243)(53, 233)(54, 235)(55, 236)(56, 234)(57, 245)(58, 248)(59, 246)(60, 247)(61, 240)(62, 239)(63, 290)(64, 267)(65, 242)(66, 293)(67, 244)(68, 263)(69, 295)(70, 297)(71, 252)(72, 298)(73, 300)(74, 296)(75, 302)(76, 303)(77, 304)(78, 305)(79, 299)(80, 301)(81, 307)(82, 308)(83, 249)(84, 309)(85, 306)(86, 311)(87, 312)(88, 313)(89, 310)(90, 315)(91, 316)(92, 317)(93, 314)(94, 319)(95, 320)(96, 321)(97, 318)(98, 323)(99, 324)(100, 325)(101, 322)(102, 328)(103, 329)(104, 330)(105, 327)(106, 251)(107, 333)(108, 335)(109, 259)(110, 337)(111, 258)(112, 253)(113, 256)(114, 254)(115, 255)(116, 264)(117, 257)(118, 250)(119, 261)(120, 260)(121, 269)(122, 262)(123, 266)(124, 265)(125, 273)(126, 268)(127, 271)(128, 270)(129, 277)(130, 272)(131, 275)(132, 274)(133, 281)(134, 276)(135, 279)(136, 278)(137, 285)(138, 280)(139, 283)(140, 282)(141, 289)(142, 332)(143, 284)(144, 287)(145, 286)(146, 326)(147, 339)(148, 288)(149, 292)(150, 368)(151, 291)(152, 367)(153, 331)(154, 366)(155, 294)(156, 365)(157, 364)(158, 363)(159, 362)(160, 361)(161, 359)(162, 360)(163, 357)(164, 358)(165, 356)(166, 355)(167, 354)(168, 353)(169, 351)(170, 352)(171, 349)(172, 350)(173, 348)(174, 347)(175, 346)(176, 345)(177, 343)(178, 344)(179, 341)(180, 342)(181, 338)(182, 340)(183, 334)(184, 336)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1674
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 184 f = 138
	degree seq :: [ 92^4 ]

E22.1679 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 46})
Quotient :: loop
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^46 ]
Map:: polytopal non-degenerate
	R = (1, 185, 3, 187)(2, 186, 6, 190)(4, 188, 9, 193)(5, 189, 12, 196)(7, 191, 16, 200)(8, 192, 17, 201)(10, 194, 15, 199)(11, 195, 21, 205)(13, 197, 23, 207)(14, 198, 24, 208)(18, 202, 26, 210)(19, 203, 27, 211)(20, 204, 30, 214)(22, 206, 32, 216)(25, 209, 34, 218)(28, 212, 33, 217)(29, 213, 38, 222)(31, 215, 40, 224)(35, 219, 42, 226)(36, 220, 43, 227)(37, 221, 46, 230)(39, 223, 48, 232)(41, 225, 50, 234)(44, 228, 49, 233)(45, 229, 54, 238)(47, 231, 56, 240)(51, 235, 58, 242)(52, 236, 59, 243)(53, 237, 62, 246)(55, 239, 64, 248)(57, 241, 66, 250)(60, 244, 65, 249)(61, 245, 109, 293)(63, 247, 91, 275)(67, 251, 113, 297)(68, 252, 73, 257)(69, 253, 115, 299)(70, 254, 116, 300)(71, 255, 117, 301)(72, 256, 118, 302)(74, 258, 119, 303)(75, 259, 120, 304)(76, 260, 121, 305)(77, 261, 122, 306)(78, 262, 123, 307)(79, 263, 124, 308)(80, 264, 125, 309)(81, 265, 126, 310)(82, 266, 127, 311)(83, 267, 128, 312)(84, 268, 129, 313)(85, 269, 130, 314)(86, 270, 131, 315)(87, 271, 132, 316)(88, 272, 133, 317)(89, 273, 134, 318)(90, 274, 135, 319)(92, 276, 136, 320)(93, 277, 137, 321)(94, 278, 138, 322)(95, 279, 139, 323)(96, 280, 140, 324)(97, 281, 141, 325)(98, 282, 142, 326)(99, 283, 143, 327)(100, 284, 144, 328)(101, 285, 145, 329)(102, 286, 146, 330)(103, 287, 147, 331)(104, 288, 149, 333)(105, 289, 150, 334)(106, 290, 151, 335)(107, 291, 152, 336)(108, 292, 154, 338)(110, 294, 157, 341)(111, 295, 158, 342)(112, 296, 159, 343)(114, 298, 161, 345)(148, 332, 184, 368)(153, 337, 183, 367)(155, 339, 182, 366)(156, 340, 181, 365)(160, 344, 180, 364)(162, 346, 175, 359)(163, 347, 176, 360)(164, 348, 179, 363)(165, 349, 173, 357)(166, 350, 174, 358)(167, 351, 169, 353)(168, 352, 170, 354)(171, 355, 178, 362)(172, 356, 177, 361)
	L = (1, 186)(2, 189)(3, 191)(4, 185)(5, 195)(6, 197)(7, 199)(8, 187)(9, 202)(10, 188)(11, 204)(12, 192)(13, 193)(14, 190)(15, 209)(16, 207)(17, 208)(18, 211)(19, 194)(20, 213)(21, 198)(22, 196)(23, 201)(24, 216)(25, 217)(26, 200)(27, 219)(28, 203)(29, 221)(30, 206)(31, 205)(32, 224)(33, 225)(34, 210)(35, 227)(36, 212)(37, 229)(38, 215)(39, 214)(40, 232)(41, 233)(42, 218)(43, 235)(44, 220)(45, 237)(46, 223)(47, 222)(48, 240)(49, 241)(50, 226)(51, 243)(52, 228)(53, 245)(54, 231)(55, 230)(56, 248)(57, 249)(58, 234)(59, 251)(60, 236)(61, 259)(62, 239)(63, 238)(64, 275)(65, 273)(66, 242)(67, 257)(68, 244)(69, 267)(70, 272)(71, 258)(72, 274)(73, 268)(74, 263)(75, 264)(76, 265)(77, 255)(78, 279)(79, 270)(80, 260)(81, 271)(82, 261)(83, 262)(84, 253)(85, 283)(86, 277)(87, 278)(88, 256)(89, 254)(90, 269)(91, 266)(92, 287)(93, 281)(94, 282)(95, 276)(96, 291)(97, 285)(98, 286)(99, 280)(100, 296)(101, 289)(102, 290)(103, 284)(104, 332)(105, 294)(106, 295)(107, 288)(108, 337)(109, 247)(110, 339)(111, 340)(112, 292)(113, 250)(114, 344)(115, 300)(116, 252)(117, 304)(118, 299)(119, 309)(120, 311)(121, 301)(122, 293)(123, 302)(124, 305)(125, 306)(126, 303)(127, 246)(128, 317)(129, 318)(130, 307)(131, 310)(132, 308)(133, 313)(134, 297)(135, 312)(136, 314)(137, 316)(138, 315)(139, 319)(140, 320)(141, 322)(142, 321)(143, 323)(144, 324)(145, 326)(146, 325)(147, 327)(148, 298)(149, 328)(150, 330)(151, 329)(152, 331)(153, 348)(154, 333)(155, 355)(156, 356)(157, 335)(158, 334)(159, 336)(160, 346)(161, 338)(162, 352)(163, 351)(164, 347)(165, 353)(166, 354)(167, 358)(168, 357)(169, 359)(170, 360)(171, 350)(172, 349)(173, 362)(174, 361)(175, 363)(176, 364)(177, 366)(178, 365)(179, 345)(180, 367)(181, 341)(182, 342)(183, 368)(184, 343)
	local type(s) :: { ( 4, 46, 4, 46 ) }
Outer automorphisms :: reflexible
Dual of E22.1675
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 92 e = 184 f = 50
	degree seq :: [ 4^92 ]

E22.1680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 46})
Quotient :: dipole
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|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)^46 ]
Map::
	R = (1, 185, 2, 186)(3, 187, 7, 191)(4, 188, 9, 193)(5, 189, 10, 194)(6, 190, 12, 196)(8, 192, 11, 195)(13, 197, 17, 201)(14, 198, 18, 202)(15, 199, 19, 203)(16, 200, 20, 204)(21, 205, 25, 209)(22, 206, 26, 210)(23, 207, 27, 211)(24, 208, 28, 212)(29, 213, 33, 217)(30, 214, 34, 218)(31, 215, 35, 219)(32, 216, 36, 220)(37, 221, 73, 257)(38, 222, 74, 258)(39, 223, 75, 259)(40, 224, 78, 262)(41, 225, 79, 263)(42, 226, 80, 264)(43, 227, 76, 260)(44, 228, 77, 261)(45, 229, 85, 269)(46, 230, 86, 270)(47, 231, 87, 271)(48, 232, 88, 272)(49, 233, 89, 273)(50, 234, 90, 274)(51, 235, 81, 265)(52, 236, 82, 266)(53, 237, 83, 267)(54, 238, 84, 268)(55, 239, 95, 279)(56, 240, 96, 280)(57, 241, 97, 281)(58, 242, 98, 282)(59, 243, 91, 275)(60, 244, 92, 276)(61, 245, 93, 277)(62, 246, 94, 278)(63, 247, 101, 285)(64, 248, 102, 286)(65, 249, 103, 287)(66, 250, 104, 288)(67, 251, 99, 283)(68, 252, 100, 284)(69, 253, 105, 289)(70, 254, 106, 290)(71, 255, 107, 291)(72, 256, 108, 292)(109, 293, 145, 329)(110, 294, 146, 330)(111, 295, 147, 331)(112, 296, 150, 334)(113, 297, 148, 332)(114, 298, 149, 333)(115, 299, 153, 337)(116, 300, 156, 340)(117, 301, 154, 338)(118, 302, 155, 339)(119, 303, 157, 341)(120, 304, 158, 342)(121, 305, 151, 335)(122, 306, 152, 336)(123, 307, 163, 347)(124, 308, 164, 348)(125, 309, 165, 349)(126, 310, 166, 350)(127, 311, 159, 343)(128, 312, 160, 344)(129, 313, 161, 345)(130, 314, 162, 346)(131, 315, 169, 353)(132, 316, 170, 354)(133, 317, 171, 355)(134, 318, 172, 356)(135, 319, 167, 351)(136, 320, 168, 352)(137, 321, 173, 357)(138, 322, 174, 358)(139, 323, 175, 359)(140, 324, 176, 360)(141, 325, 177, 361)(142, 326, 178, 362)(143, 327, 179, 363)(144, 328, 180, 364)(181, 365, 183, 367)(182, 366, 184, 368)(369, 553, 371, 555, 376, 560, 372, 556)(370, 554, 373, 557, 379, 563, 374, 558)(375, 559, 381, 565, 377, 561, 382, 566)(378, 562, 383, 567, 380, 564, 384, 568)(385, 569, 389, 573, 386, 570, 390, 574)(387, 571, 391, 575, 388, 572, 392, 576)(393, 577, 397, 581, 394, 578, 398, 582)(395, 579, 399, 583, 396, 580, 400, 584)(401, 585, 405, 589, 402, 586, 406, 590)(403, 587, 436, 620, 404, 588, 435, 619)(407, 591, 444, 628, 414, 598, 445, 629)(408, 592, 447, 631, 417, 601, 448, 632)(409, 593, 449, 633, 410, 594, 450, 634)(411, 595, 451, 635, 412, 596, 452, 636)(413, 597, 454, 638, 415, 599, 443, 627)(416, 600, 457, 641, 418, 602, 446, 630)(419, 603, 459, 643, 420, 604, 460, 644)(421, 605, 461, 645, 422, 606, 462, 646)(423, 607, 455, 639, 424, 608, 453, 637)(425, 609, 458, 642, 426, 610, 456, 640)(427, 611, 467, 651, 428, 612, 468, 652)(429, 613, 442, 626, 430, 614, 441, 625)(431, 615, 464, 648, 432, 616, 463, 647)(433, 617, 466, 650, 434, 618, 465, 649)(437, 621, 470, 654, 438, 622, 469, 653)(439, 623, 472, 656, 440, 624, 471, 655)(473, 657, 477, 661, 474, 658, 478, 662)(475, 659, 504, 688, 476, 660, 503, 687)(479, 663, 516, 700, 480, 664, 517, 701)(481, 665, 519, 703, 482, 666, 520, 704)(483, 667, 522, 706, 484, 668, 523, 707)(485, 669, 525, 709, 486, 670, 526, 710)(487, 671, 527, 711, 488, 672, 528, 712)(489, 673, 529, 713, 490, 674, 530, 714)(491, 675, 518, 702, 492, 676, 515, 699)(493, 677, 524, 708, 494, 678, 521, 705)(495, 679, 535, 719, 496, 680, 536, 720)(497, 681, 514, 698, 498, 682, 513, 697)(499, 683, 532, 716, 500, 684, 531, 715)(501, 685, 534, 718, 502, 686, 533, 717)(505, 689, 538, 722, 506, 690, 537, 721)(507, 691, 540, 724, 508, 692, 539, 723)(509, 693, 542, 726, 510, 694, 541, 725)(511, 695, 544, 728, 512, 696, 543, 727)(545, 729, 549, 733, 546, 730, 550, 734)(547, 731, 552, 736, 548, 732, 551, 735)
	L = (1, 370)(2, 369)(3, 375)(4, 377)(5, 378)(6, 380)(7, 371)(8, 379)(9, 372)(10, 373)(11, 376)(12, 374)(13, 385)(14, 386)(15, 387)(16, 388)(17, 381)(18, 382)(19, 383)(20, 384)(21, 393)(22, 394)(23, 395)(24, 396)(25, 389)(26, 390)(27, 391)(28, 392)(29, 401)(30, 402)(31, 403)(32, 404)(33, 397)(34, 398)(35, 399)(36, 400)(37, 441)(38, 442)(39, 443)(40, 446)(41, 447)(42, 448)(43, 444)(44, 445)(45, 453)(46, 454)(47, 455)(48, 456)(49, 457)(50, 458)(51, 449)(52, 450)(53, 451)(54, 452)(55, 463)(56, 464)(57, 465)(58, 466)(59, 459)(60, 460)(61, 461)(62, 462)(63, 469)(64, 470)(65, 471)(66, 472)(67, 467)(68, 468)(69, 473)(70, 474)(71, 475)(72, 476)(73, 405)(74, 406)(75, 407)(76, 411)(77, 412)(78, 408)(79, 409)(80, 410)(81, 419)(82, 420)(83, 421)(84, 422)(85, 413)(86, 414)(87, 415)(88, 416)(89, 417)(90, 418)(91, 427)(92, 428)(93, 429)(94, 430)(95, 423)(96, 424)(97, 425)(98, 426)(99, 435)(100, 436)(101, 431)(102, 432)(103, 433)(104, 434)(105, 437)(106, 438)(107, 439)(108, 440)(109, 513)(110, 514)(111, 515)(112, 518)(113, 516)(114, 517)(115, 521)(116, 524)(117, 522)(118, 523)(119, 525)(120, 526)(121, 519)(122, 520)(123, 531)(124, 532)(125, 533)(126, 534)(127, 527)(128, 528)(129, 529)(130, 530)(131, 537)(132, 538)(133, 539)(134, 540)(135, 535)(136, 536)(137, 541)(138, 542)(139, 543)(140, 544)(141, 545)(142, 546)(143, 547)(144, 548)(145, 477)(146, 478)(147, 479)(148, 481)(149, 482)(150, 480)(151, 489)(152, 490)(153, 483)(154, 485)(155, 486)(156, 484)(157, 487)(158, 488)(159, 495)(160, 496)(161, 497)(162, 498)(163, 491)(164, 492)(165, 493)(166, 494)(167, 503)(168, 504)(169, 499)(170, 500)(171, 501)(172, 502)(173, 505)(174, 506)(175, 507)(176, 508)(177, 509)(178, 510)(179, 511)(180, 512)(181, 551)(182, 552)(183, 549)(184, 550)(185, 553)(186, 554)(187, 555)(188, 556)(189, 557)(190, 558)(191, 559)(192, 560)(193, 561)(194, 562)(195, 563)(196, 564)(197, 565)(198, 566)(199, 567)(200, 568)(201, 569)(202, 570)(203, 571)(204, 572)(205, 573)(206, 574)(207, 575)(208, 576)(209, 577)(210, 578)(211, 579)(212, 580)(213, 581)(214, 582)(215, 583)(216, 584)(217, 585)(218, 586)(219, 587)(220, 588)(221, 589)(222, 590)(223, 591)(224, 592)(225, 593)(226, 594)(227, 595)(228, 596)(229, 597)(230, 598)(231, 599)(232, 600)(233, 601)(234, 602)(235, 603)(236, 604)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 615)(248, 616)(249, 617)(250, 618)(251, 619)(252, 620)(253, 621)(254, 622)(255, 623)(256, 624)(257, 625)(258, 626)(259, 627)(260, 628)(261, 629)(262, 630)(263, 631)(264, 632)(265, 633)(266, 634)(267, 635)(268, 636)(269, 637)(270, 638)(271, 639)(272, 640)(273, 641)(274, 642)(275, 643)(276, 644)(277, 645)(278, 646)(279, 647)(280, 648)(281, 649)(282, 650)(283, 651)(284, 652)(285, 653)(286, 654)(287, 655)(288, 656)(289, 657)(290, 658)(291, 659)(292, 660)(293, 661)(294, 662)(295, 663)(296, 664)(297, 665)(298, 666)(299, 667)(300, 668)(301, 669)(302, 670)(303, 671)(304, 672)(305, 673)(306, 674)(307, 675)(308, 676)(309, 677)(310, 678)(311, 679)(312, 680)(313, 681)(314, 682)(315, 683)(316, 684)(317, 685)(318, 686)(319, 687)(320, 688)(321, 689)(322, 690)(323, 691)(324, 692)(325, 693)(326, 694)(327, 695)(328, 696)(329, 697)(330, 698)(331, 699)(332, 700)(333, 701)(334, 702)(335, 703)(336, 704)(337, 705)(338, 706)(339, 707)(340, 708)(341, 709)(342, 710)(343, 711)(344, 712)(345, 713)(346, 714)(347, 715)(348, 716)(349, 717)(350, 718)(351, 719)(352, 720)(353, 721)(354, 722)(355, 723)(356, 724)(357, 725)(358, 726)(359, 727)(360, 728)(361, 729)(362, 730)(363, 731)(364, 732)(365, 733)(366, 734)(367, 735)(368, 736)
	local type(s) :: { ( 2, 92, 2, 92 ), ( 2, 92, 2, 92, 2, 92, 2, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.1683
Graph:: bipartite
	v = 138 e = 368 f = 188
	degree seq :: [ 4^92, 8^46 ]

E22.1681 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 46})
Quotient :: dipole
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|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, Y2^46 ]
Map::
	R = (1, 185, 2, 186, 6, 190, 4, 188)(3, 187, 9, 193, 13, 197, 8, 192)(5, 189, 11, 195, 14, 198, 7, 191)(10, 194, 16, 200, 21, 205, 17, 201)(12, 196, 15, 199, 22, 206, 19, 203)(18, 202, 25, 209, 29, 213, 24, 208)(20, 204, 27, 211, 30, 214, 23, 207)(26, 210, 32, 216, 37, 221, 33, 217)(28, 212, 31, 215, 38, 222, 35, 219)(34, 218, 41, 225, 45, 229, 40, 224)(36, 220, 43, 227, 46, 230, 39, 223)(42, 226, 48, 232, 53, 237, 49, 233)(44, 228, 47, 231, 54, 238, 51, 235)(50, 234, 57, 241, 61, 245, 56, 240)(52, 236, 59, 243, 62, 246, 55, 239)(58, 242, 64, 248, 81, 265, 65, 249)(60, 244, 63, 247, 106, 290, 67, 251)(66, 250, 109, 293, 77, 261, 120, 304)(68, 252, 71, 255, 115, 299, 79, 263)(69, 253, 111, 295, 74, 258, 112, 296)(70, 254, 113, 297, 72, 256, 114, 298)(73, 257, 116, 300, 80, 264, 117, 301)(75, 259, 118, 302, 76, 260, 119, 303)(78, 262, 121, 305, 85, 269, 122, 306)(82, 266, 123, 307, 83, 267, 124, 308)(84, 268, 125, 309, 89, 273, 126, 310)(86, 270, 127, 311, 87, 271, 128, 312)(88, 272, 129, 313, 93, 277, 130, 314)(90, 274, 131, 315, 91, 275, 132, 316)(92, 276, 133, 317, 97, 281, 134, 318)(94, 278, 135, 319, 95, 279, 136, 320)(96, 280, 137, 321, 101, 285, 138, 322)(98, 282, 139, 323, 99, 283, 140, 324)(100, 284, 141, 325, 105, 289, 143, 327)(102, 286, 144, 328, 103, 287, 145, 329)(104, 288, 146, 330, 142, 326, 148, 332)(107, 291, 149, 333, 108, 292, 151, 335)(110, 294, 153, 337, 147, 331, 155, 339)(150, 334, 183, 367, 152, 336, 184, 368)(154, 338, 181, 365, 156, 340, 182, 366)(157, 341, 180, 364, 158, 342, 179, 363)(159, 343, 178, 362, 160, 344, 177, 361)(161, 345, 175, 359, 162, 346, 176, 360)(163, 347, 173, 357, 164, 348, 174, 358)(165, 349, 172, 356, 166, 350, 171, 355)(167, 351, 170, 354, 168, 352, 169, 353)(369, 553, 371, 555, 378, 562, 386, 570, 394, 578, 402, 586, 410, 594, 418, 602, 426, 610, 434, 618, 440, 624, 443, 627, 451, 635, 454, 638, 459, 643, 462, 646, 467, 651, 470, 654, 476, 660, 520, 704, 525, 709, 530, 714, 533, 717, 538, 722, 541, 725, 546, 730, 549, 733, 523, 707, 516, 700, 511, 695, 506, 690, 502, 686, 498, 682, 494, 678, 490, 674, 485, 669, 480, 664, 436, 620, 428, 612, 420, 604, 412, 596, 404, 588, 396, 580, 388, 572, 380, 564, 373, 557)(370, 554, 375, 559, 383, 567, 391, 575, 399, 583, 407, 591, 415, 599, 423, 607, 431, 615, 447, 631, 437, 621, 448, 632, 446, 630, 457, 641, 456, 640, 465, 649, 464, 648, 473, 657, 472, 656, 515, 699, 524, 708, 527, 711, 532, 716, 535, 719, 540, 724, 543, 727, 548, 732, 551, 735, 519, 703, 513, 697, 508, 692, 504, 688, 500, 684, 496, 680, 492, 676, 487, 671, 482, 666, 488, 672, 432, 616, 424, 608, 416, 600, 408, 592, 400, 584, 392, 576, 384, 568, 376, 560)(372, 556, 379, 563, 387, 571, 395, 579, 403, 587, 411, 595, 419, 603, 427, 611, 435, 619, 439, 623, 442, 626, 441, 625, 453, 637, 452, 636, 461, 645, 460, 644, 469, 653, 468, 652, 510, 694, 478, 662, 522, 706, 528, 712, 531, 715, 536, 720, 539, 723, 544, 728, 547, 731, 552, 736, 517, 701, 512, 696, 507, 691, 503, 687, 499, 683, 495, 679, 491, 675, 486, 670, 481, 665, 477, 661, 433, 617, 425, 609, 417, 601, 409, 593, 401, 585, 393, 577, 385, 569, 377, 561)(374, 558, 381, 565, 389, 573, 397, 581, 405, 589, 413, 597, 421, 605, 429, 613, 449, 633, 445, 629, 438, 622, 444, 628, 450, 634, 455, 639, 458, 642, 463, 647, 466, 650, 471, 655, 475, 659, 518, 702, 526, 710, 529, 713, 534, 718, 537, 721, 542, 726, 545, 729, 550, 734, 521, 705, 514, 698, 509, 693, 505, 689, 501, 685, 497, 681, 493, 677, 489, 673, 484, 668, 479, 663, 483, 667, 474, 658, 430, 614, 422, 606, 414, 598, 406, 590, 398, 582, 390, 574, 382, 566)
	L = (1, 371)(2, 375)(3, 378)(4, 379)(5, 369)(6, 381)(7, 383)(8, 370)(9, 372)(10, 386)(11, 387)(12, 373)(13, 389)(14, 374)(15, 391)(16, 376)(17, 377)(18, 394)(19, 395)(20, 380)(21, 397)(22, 382)(23, 399)(24, 384)(25, 385)(26, 402)(27, 403)(28, 388)(29, 405)(30, 390)(31, 407)(32, 392)(33, 393)(34, 410)(35, 411)(36, 396)(37, 413)(38, 398)(39, 415)(40, 400)(41, 401)(42, 418)(43, 419)(44, 404)(45, 421)(46, 406)(47, 423)(48, 408)(49, 409)(50, 426)(51, 427)(52, 412)(53, 429)(54, 414)(55, 431)(56, 416)(57, 417)(58, 434)(59, 435)(60, 420)(61, 449)(62, 422)(63, 447)(64, 424)(65, 425)(66, 440)(67, 439)(68, 428)(69, 448)(70, 444)(71, 442)(72, 443)(73, 453)(74, 441)(75, 451)(76, 450)(77, 438)(78, 457)(79, 437)(80, 446)(81, 445)(82, 455)(83, 454)(84, 461)(85, 452)(86, 459)(87, 458)(88, 465)(89, 456)(90, 463)(91, 462)(92, 469)(93, 460)(94, 467)(95, 466)(96, 473)(97, 464)(98, 471)(99, 470)(100, 510)(101, 468)(102, 476)(103, 475)(104, 515)(105, 472)(106, 430)(107, 518)(108, 520)(109, 433)(110, 522)(111, 483)(112, 436)(113, 477)(114, 488)(115, 474)(116, 479)(117, 480)(118, 481)(119, 482)(120, 432)(121, 484)(122, 485)(123, 486)(124, 487)(125, 489)(126, 490)(127, 491)(128, 492)(129, 493)(130, 494)(131, 495)(132, 496)(133, 497)(134, 498)(135, 499)(136, 500)(137, 501)(138, 502)(139, 503)(140, 504)(141, 505)(142, 478)(143, 506)(144, 507)(145, 508)(146, 509)(147, 524)(148, 511)(149, 512)(150, 526)(151, 513)(152, 525)(153, 514)(154, 528)(155, 516)(156, 527)(157, 530)(158, 529)(159, 532)(160, 531)(161, 534)(162, 533)(163, 536)(164, 535)(165, 538)(166, 537)(167, 540)(168, 539)(169, 542)(170, 541)(171, 544)(172, 543)(173, 546)(174, 545)(175, 548)(176, 547)(177, 550)(178, 549)(179, 552)(180, 551)(181, 523)(182, 521)(183, 519)(184, 517)(185, 553)(186, 554)(187, 555)(188, 556)(189, 557)(190, 558)(191, 559)(192, 560)(193, 561)(194, 562)(195, 563)(196, 564)(197, 565)(198, 566)(199, 567)(200, 568)(201, 569)(202, 570)(203, 571)(204, 572)(205, 573)(206, 574)(207, 575)(208, 576)(209, 577)(210, 578)(211, 579)(212, 580)(213, 581)(214, 582)(215, 583)(216, 584)(217, 585)(218, 586)(219, 587)(220, 588)(221, 589)(222, 590)(223, 591)(224, 592)(225, 593)(226, 594)(227, 595)(228, 596)(229, 597)(230, 598)(231, 599)(232, 600)(233, 601)(234, 602)(235, 603)(236, 604)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 615)(248, 616)(249, 617)(250, 618)(251, 619)(252, 620)(253, 621)(254, 622)(255, 623)(256, 624)(257, 625)(258, 626)(259, 627)(260, 628)(261, 629)(262, 630)(263, 631)(264, 632)(265, 633)(266, 634)(267, 635)(268, 636)(269, 637)(270, 638)(271, 639)(272, 640)(273, 641)(274, 642)(275, 643)(276, 644)(277, 645)(278, 646)(279, 647)(280, 648)(281, 649)(282, 650)(283, 651)(284, 652)(285, 653)(286, 654)(287, 655)(288, 656)(289, 657)(290, 658)(291, 659)(292, 660)(293, 661)(294, 662)(295, 663)(296, 664)(297, 665)(298, 666)(299, 667)(300, 668)(301, 669)(302, 670)(303, 671)(304, 672)(305, 673)(306, 674)(307, 675)(308, 676)(309, 677)(310, 678)(311, 679)(312, 680)(313, 681)(314, 682)(315, 683)(316, 684)(317, 685)(318, 686)(319, 687)(320, 688)(321, 689)(322, 690)(323, 691)(324, 692)(325, 693)(326, 694)(327, 695)(328, 696)(329, 697)(330, 698)(331, 699)(332, 700)(333, 701)(334, 702)(335, 703)(336, 704)(337, 705)(338, 706)(339, 707)(340, 708)(341, 709)(342, 710)(343, 711)(344, 712)(345, 713)(346, 714)(347, 715)(348, 716)(349, 717)(350, 718)(351, 719)(352, 720)(353, 721)(354, 722)(355, 723)(356, 724)(357, 725)(358, 726)(359, 727)(360, 728)(361, 729)(362, 730)(363, 731)(364, 732)(365, 733)(366, 734)(367, 735)(368, 736)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1682
Graph:: bipartite
	v = 50 e = 368 f = 276
	degree seq :: [ 8^46, 92^4 ]

E22.1682 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 46})
Quotient :: dipole
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^46 ]
Map:: polytopal
	R = (1, 185)(2, 186)(3, 187)(4, 188)(5, 189)(6, 190)(7, 191)(8, 192)(9, 193)(10, 194)(11, 195)(12, 196)(13, 197)(14, 198)(15, 199)(16, 200)(17, 201)(18, 202)(19, 203)(20, 204)(21, 205)(22, 206)(23, 207)(24, 208)(25, 209)(26, 210)(27, 211)(28, 212)(29, 213)(30, 214)(31, 215)(32, 216)(33, 217)(34, 218)(35, 219)(36, 220)(37, 221)(38, 222)(39, 223)(40, 224)(41, 225)(42, 226)(43, 227)(44, 228)(45, 229)(46, 230)(47, 231)(48, 232)(49, 233)(50, 234)(51, 235)(52, 236)(53, 237)(54, 238)(55, 239)(56, 240)(57, 241)(58, 242)(59, 243)(60, 244)(61, 245)(62, 246)(63, 247)(64, 248)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 257)(74, 258)(75, 259)(76, 260)(77, 261)(78, 262)(79, 263)(80, 264)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 273)(90, 274)(91, 275)(92, 276)(93, 277)(94, 278)(95, 279)(96, 280)(97, 281)(98, 282)(99, 283)(100, 284)(101, 285)(102, 286)(103, 287)(104, 288)(105, 289)(106, 290)(107, 291)(108, 292)(109, 293)(110, 294)(111, 295)(112, 296)(113, 297)(114, 298)(115, 299)(116, 300)(117, 301)(118, 302)(119, 303)(120, 304)(121, 305)(122, 306)(123, 307)(124, 308)(125, 309)(126, 310)(127, 311)(128, 312)(129, 313)(130, 314)(131, 315)(132, 316)(133, 317)(134, 318)(135, 319)(136, 320)(137, 321)(138, 322)(139, 323)(140, 324)(141, 325)(142, 326)(143, 327)(144, 328)(145, 329)(146, 330)(147, 331)(148, 332)(149, 333)(150, 334)(151, 335)(152, 336)(153, 337)(154, 338)(155, 339)(156, 340)(157, 341)(158, 342)(159, 343)(160, 344)(161, 345)(162, 346)(163, 347)(164, 348)(165, 349)(166, 350)(167, 351)(168, 352)(169, 353)(170, 354)(171, 355)(172, 356)(173, 357)(174, 358)(175, 359)(176, 360)(177, 361)(178, 362)(179, 363)(180, 364)(181, 365)(182, 366)(183, 367)(184, 368)(369, 553, 370, 554)(371, 555, 375, 559)(372, 556, 377, 561)(373, 557, 379, 563)(374, 558, 381, 565)(376, 560, 382, 566)(378, 562, 380, 564)(383, 567, 388, 572)(384, 568, 391, 575)(385, 569, 393, 577)(386, 570, 389, 573)(387, 571, 395, 579)(390, 574, 397, 581)(392, 576, 399, 583)(394, 578, 400, 584)(396, 580, 398, 582)(401, 585, 407, 591)(402, 586, 409, 593)(403, 587, 405, 589)(404, 588, 411, 595)(406, 590, 413, 597)(408, 592, 415, 599)(410, 594, 416, 600)(412, 596, 414, 598)(417, 601, 423, 607)(418, 602, 425, 609)(419, 603, 421, 605)(420, 604, 427, 611)(422, 606, 429, 613)(424, 608, 431, 615)(426, 610, 432, 616)(428, 612, 430, 614)(433, 617, 437, 621)(434, 618, 467, 651)(435, 619, 469, 653)(436, 620, 439, 623)(438, 622, 472, 656)(440, 624, 475, 659)(441, 625, 477, 661)(442, 626, 479, 663)(443, 627, 481, 665)(444, 628, 483, 667)(445, 629, 485, 669)(446, 630, 487, 671)(447, 631, 489, 673)(448, 632, 491, 675)(449, 633, 493, 677)(450, 634, 495, 679)(451, 635, 497, 681)(452, 636, 499, 683)(453, 637, 501, 685)(454, 638, 503, 687)(455, 639, 505, 689)(456, 640, 507, 691)(457, 641, 509, 693)(458, 642, 511, 695)(459, 643, 513, 697)(460, 644, 515, 699)(461, 645, 517, 701)(462, 646, 519, 703)(463, 647, 521, 705)(464, 648, 523, 707)(465, 649, 525, 709)(466, 650, 527, 711)(468, 652, 529, 713)(470, 654, 531, 715)(471, 655, 533, 717)(473, 657, 535, 719)(474, 658, 537, 721)(476, 660, 539, 723)(478, 662, 541, 725)(480, 664, 543, 727)(482, 666, 545, 729)(484, 668, 547, 731)(486, 670, 546, 730)(488, 672, 549, 733)(490, 674, 548, 732)(492, 676, 551, 735)(494, 678, 550, 734)(496, 680, 552, 736)(498, 682, 538, 722)(500, 684, 540, 724)(502, 686, 536, 720)(504, 688, 544, 728)(506, 690, 526, 710)(508, 692, 530, 714)(510, 694, 522, 706)(512, 696, 542, 726)(514, 698, 524, 708)(516, 700, 534, 718)(518, 702, 528, 712)(520, 704, 532, 716)
	L = (1, 371)(2, 373)(3, 376)(4, 369)(5, 380)(6, 370)(7, 383)(8, 385)(9, 386)(10, 372)(11, 388)(12, 390)(13, 391)(14, 374)(15, 377)(16, 375)(17, 394)(18, 395)(19, 378)(20, 381)(21, 379)(22, 398)(23, 399)(24, 382)(25, 384)(26, 402)(27, 403)(28, 387)(29, 389)(30, 406)(31, 407)(32, 392)(33, 393)(34, 410)(35, 411)(36, 396)(37, 397)(38, 414)(39, 415)(40, 400)(41, 401)(42, 418)(43, 419)(44, 404)(45, 405)(46, 422)(47, 423)(48, 408)(49, 409)(50, 426)(51, 427)(52, 412)(53, 413)(54, 430)(55, 431)(56, 416)(57, 417)(58, 434)(59, 435)(60, 420)(61, 421)(62, 441)(63, 437)(64, 424)(65, 425)(66, 446)(67, 439)(68, 428)(69, 438)(70, 440)(71, 442)(72, 443)(73, 444)(74, 445)(75, 447)(76, 448)(77, 449)(78, 450)(79, 451)(80, 452)(81, 453)(82, 454)(83, 455)(84, 456)(85, 457)(86, 458)(87, 459)(88, 460)(89, 461)(90, 462)(91, 463)(92, 464)(93, 465)(94, 466)(95, 468)(96, 470)(97, 478)(98, 471)(99, 433)(100, 488)(101, 429)(102, 474)(103, 473)(104, 432)(105, 476)(106, 480)(107, 467)(108, 482)(109, 469)(110, 484)(111, 477)(112, 486)(113, 487)(114, 490)(115, 436)(116, 492)(117, 483)(118, 494)(119, 472)(120, 496)(121, 495)(122, 498)(123, 479)(124, 500)(125, 491)(126, 502)(127, 475)(128, 504)(129, 503)(130, 506)(131, 485)(132, 508)(133, 499)(134, 510)(135, 481)(136, 512)(137, 511)(138, 514)(139, 493)(140, 516)(141, 507)(142, 518)(143, 489)(144, 520)(145, 519)(146, 522)(147, 501)(148, 524)(149, 515)(150, 526)(151, 497)(152, 528)(153, 527)(154, 530)(155, 509)(156, 532)(157, 523)(158, 542)(159, 505)(160, 534)(161, 533)(162, 550)(163, 517)(164, 538)(165, 513)(166, 536)(167, 521)(168, 540)(169, 525)(170, 544)(171, 529)(172, 546)(173, 531)(174, 548)(175, 541)(176, 545)(177, 549)(178, 547)(179, 537)(180, 552)(181, 535)(182, 551)(183, 543)(184, 539)(185, 553)(186, 554)(187, 555)(188, 556)(189, 557)(190, 558)(191, 559)(192, 560)(193, 561)(194, 562)(195, 563)(196, 564)(197, 565)(198, 566)(199, 567)(200, 568)(201, 569)(202, 570)(203, 571)(204, 572)(205, 573)(206, 574)(207, 575)(208, 576)(209, 577)(210, 578)(211, 579)(212, 580)(213, 581)(214, 582)(215, 583)(216, 584)(217, 585)(218, 586)(219, 587)(220, 588)(221, 589)(222, 590)(223, 591)(224, 592)(225, 593)(226, 594)(227, 595)(228, 596)(229, 597)(230, 598)(231, 599)(232, 600)(233, 601)(234, 602)(235, 603)(236, 604)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 615)(248, 616)(249, 617)(250, 618)(251, 619)(252, 620)(253, 621)(254, 622)(255, 623)(256, 624)(257, 625)(258, 626)(259, 627)(260, 628)(261, 629)(262, 630)(263, 631)(264, 632)(265, 633)(266, 634)(267, 635)(268, 636)(269, 637)(270, 638)(271, 639)(272, 640)(273, 641)(274, 642)(275, 643)(276, 644)(277, 645)(278, 646)(279, 647)(280, 648)(281, 649)(282, 650)(283, 651)(284, 652)(285, 653)(286, 654)(287, 655)(288, 656)(289, 657)(290, 658)(291, 659)(292, 660)(293, 661)(294, 662)(295, 663)(296, 664)(297, 665)(298, 666)(299, 667)(300, 668)(301, 669)(302, 670)(303, 671)(304, 672)(305, 673)(306, 674)(307, 675)(308, 676)(309, 677)(310, 678)(311, 679)(312, 680)(313, 681)(314, 682)(315, 683)(316, 684)(317, 685)(318, 686)(319, 687)(320, 688)(321, 689)(322, 690)(323, 691)(324, 692)(325, 693)(326, 694)(327, 695)(328, 696)(329, 697)(330, 698)(331, 699)(332, 700)(333, 701)(334, 702)(335, 703)(336, 704)(337, 705)(338, 706)(339, 707)(340, 708)(341, 709)(342, 710)(343, 711)(344, 712)(345, 713)(346, 714)(347, 715)(348, 716)(349, 717)(350, 718)(351, 719)(352, 720)(353, 721)(354, 722)(355, 723)(356, 724)(357, 725)(358, 726)(359, 727)(360, 728)(361, 729)(362, 730)(363, 731)(364, 732)(365, 733)(366, 734)(367, 735)(368, 736)
	local type(s) :: { ( 8, 92 ), ( 8, 92, 8, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.1681
Graph:: simple bipartite
	v = 276 e = 368 f = 50
	degree seq :: [ 2^184, 4^92 ]

E22.1683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 46})
Quotient :: dipole
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|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, Y1^46 ]
Map:: polytopal
	R = (1, 185, 2, 186, 5, 189, 11, 195, 20, 204, 29, 213, 37, 221, 45, 229, 53, 237, 61, 245, 121, 305, 162, 346, 154, 338, 144, 328, 151, 335, 145, 329, 152, 336, 160, 344, 166, 350, 171, 355, 176, 360, 182, 366, 184, 368, 183, 367, 128, 312, 119, 303, 116, 300, 108, 292, 103, 287, 93, 277, 86, 270, 75, 259, 81, 265, 76, 260, 82, 266, 90, 274, 99, 283, 68, 252, 60, 244, 52, 236, 44, 228, 36, 220, 28, 212, 19, 203, 10, 194, 4, 188)(3, 187, 7, 191, 15, 199, 25, 209, 33, 217, 41, 225, 49, 233, 57, 241, 65, 249, 125, 309, 159, 343, 149, 333, 142, 326, 134, 318, 141, 325, 137, 321, 146, 330, 155, 339, 163, 347, 168, 352, 173, 357, 178, 362, 181, 365, 122, 306, 170, 354, 111, 295, 118, 302, 97, 281, 107, 291, 79, 263, 92, 276, 70, 254, 91, 275, 72, 256, 94, 278, 87, 271, 109, 293, 104, 288, 62, 246, 55, 239, 46, 230, 39, 223, 30, 214, 22, 206, 12, 196, 8, 192)(6, 190, 13, 197, 9, 193, 18, 202, 27, 211, 35, 219, 43, 227, 51, 235, 59, 243, 67, 251, 127, 311, 158, 342, 150, 334, 140, 324, 136, 320, 131, 315, 135, 319, 143, 327, 153, 337, 161, 345, 167, 351, 172, 356, 177, 361, 179, 363, 175, 359, 117, 301, 124, 308, 105, 289, 113, 297, 88, 272, 100, 284, 73, 257, 85, 269, 69, 253, 84, 268, 78, 262, 102, 286, 96, 280, 115, 299, 63, 247, 54, 238, 47, 231, 38, 222, 31, 215, 21, 205, 14, 198)(16, 200, 23, 207, 17, 201, 24, 208, 32, 216, 40, 224, 48, 232, 56, 240, 64, 248, 123, 307, 164, 348, 156, 340, 147, 331, 138, 322, 132, 316, 129, 313, 130, 314, 133, 317, 139, 323, 148, 332, 157, 341, 165, 349, 169, 353, 174, 358, 180, 364, 126, 310, 120, 304, 114, 298, 110, 294, 101, 285, 95, 279, 83, 267, 77, 261, 71, 255, 74, 258, 80, 264, 89, 273, 98, 282, 106, 290, 112, 296, 66, 250, 58, 242, 50, 234, 42, 226, 34, 218, 26, 210)(369, 553)(370, 554)(371, 555)(372, 556)(373, 557)(374, 558)(375, 559)(376, 560)(377, 561)(378, 562)(379, 563)(380, 564)(381, 565)(382, 566)(383, 567)(384, 568)(385, 569)(386, 570)(387, 571)(388, 572)(389, 573)(390, 574)(391, 575)(392, 576)(393, 577)(394, 578)(395, 579)(396, 580)(397, 581)(398, 582)(399, 583)(400, 584)(401, 585)(402, 586)(403, 587)(404, 588)(405, 589)(406, 590)(407, 591)(408, 592)(409, 593)(410, 594)(411, 595)(412, 596)(413, 597)(414, 598)(415, 599)(416, 600)(417, 601)(418, 602)(419, 603)(420, 604)(421, 605)(422, 606)(423, 607)(424, 608)(425, 609)(426, 610)(427, 611)(428, 612)(429, 613)(430, 614)(431, 615)(432, 616)(433, 617)(434, 618)(435, 619)(436, 620)(437, 621)(438, 622)(439, 623)(440, 624)(441, 625)(442, 626)(443, 627)(444, 628)(445, 629)(446, 630)(447, 631)(448, 632)(449, 633)(450, 634)(451, 635)(452, 636)(453, 637)(454, 638)(455, 639)(456, 640)(457, 641)(458, 642)(459, 643)(460, 644)(461, 645)(462, 646)(463, 647)(464, 648)(465, 649)(466, 650)(467, 651)(468, 652)(469, 653)(470, 654)(471, 655)(472, 656)(473, 657)(474, 658)(475, 659)(476, 660)(477, 661)(478, 662)(479, 663)(480, 664)(481, 665)(482, 666)(483, 667)(484, 668)(485, 669)(486, 670)(487, 671)(488, 672)(489, 673)(490, 674)(491, 675)(492, 676)(493, 677)(494, 678)(495, 679)(496, 680)(497, 681)(498, 682)(499, 683)(500, 684)(501, 685)(502, 686)(503, 687)(504, 688)(505, 689)(506, 690)(507, 691)(508, 692)(509, 693)(510, 694)(511, 695)(512, 696)(513, 697)(514, 698)(515, 699)(516, 700)(517, 701)(518, 702)(519, 703)(520, 704)(521, 705)(522, 706)(523, 707)(524, 708)(525, 709)(526, 710)(527, 711)(528, 712)(529, 713)(530, 714)(531, 715)(532, 716)(533, 717)(534, 718)(535, 719)(536, 720)(537, 721)(538, 722)(539, 723)(540, 724)(541, 725)(542, 726)(543, 727)(544, 728)(545, 729)(546, 730)(547, 731)(548, 732)(549, 733)(550, 734)(551, 735)(552, 736)
	L = (1, 371)(2, 374)(3, 369)(4, 377)(5, 380)(6, 370)(7, 384)(8, 385)(9, 372)(10, 383)(11, 389)(12, 373)(13, 391)(14, 392)(15, 378)(16, 375)(17, 376)(18, 394)(19, 395)(20, 398)(21, 379)(22, 400)(23, 381)(24, 382)(25, 402)(26, 386)(27, 387)(28, 401)(29, 406)(30, 388)(31, 408)(32, 390)(33, 396)(34, 393)(35, 410)(36, 411)(37, 414)(38, 397)(39, 416)(40, 399)(41, 418)(42, 403)(43, 404)(44, 417)(45, 422)(46, 405)(47, 424)(48, 407)(49, 412)(50, 409)(51, 426)(52, 427)(53, 430)(54, 413)(55, 432)(56, 415)(57, 434)(58, 419)(59, 420)(60, 433)(61, 483)(62, 421)(63, 491)(64, 423)(65, 428)(66, 425)(67, 480)(68, 495)(69, 497)(70, 498)(71, 499)(72, 500)(73, 501)(74, 502)(75, 503)(76, 504)(77, 505)(78, 506)(79, 507)(80, 508)(81, 509)(82, 510)(83, 511)(84, 512)(85, 513)(86, 514)(87, 515)(88, 516)(89, 517)(90, 518)(91, 519)(92, 520)(93, 521)(94, 522)(95, 523)(96, 524)(97, 525)(98, 526)(99, 527)(100, 528)(101, 529)(102, 530)(103, 531)(104, 532)(105, 533)(106, 493)(107, 534)(108, 535)(109, 489)(110, 536)(111, 537)(112, 435)(113, 539)(114, 540)(115, 429)(116, 541)(117, 542)(118, 544)(119, 545)(120, 546)(121, 477)(122, 548)(123, 431)(124, 550)(125, 474)(126, 547)(127, 436)(128, 549)(129, 437)(130, 438)(131, 439)(132, 440)(133, 441)(134, 442)(135, 443)(136, 444)(137, 445)(138, 446)(139, 447)(140, 448)(141, 449)(142, 450)(143, 451)(144, 452)(145, 453)(146, 454)(147, 455)(148, 456)(149, 457)(150, 458)(151, 459)(152, 460)(153, 461)(154, 462)(155, 463)(156, 464)(157, 465)(158, 466)(159, 467)(160, 468)(161, 469)(162, 470)(163, 471)(164, 472)(165, 473)(166, 475)(167, 476)(168, 478)(169, 479)(170, 552)(171, 481)(172, 482)(173, 484)(174, 485)(175, 551)(176, 486)(177, 487)(178, 488)(179, 494)(180, 490)(181, 496)(182, 492)(183, 543)(184, 538)(185, 553)(186, 554)(187, 555)(188, 556)(189, 557)(190, 558)(191, 559)(192, 560)(193, 561)(194, 562)(195, 563)(196, 564)(197, 565)(198, 566)(199, 567)(200, 568)(201, 569)(202, 570)(203, 571)(204, 572)(205, 573)(206, 574)(207, 575)(208, 576)(209, 577)(210, 578)(211, 579)(212, 580)(213, 581)(214, 582)(215, 583)(216, 584)(217, 585)(218, 586)(219, 587)(220, 588)(221, 589)(222, 590)(223, 591)(224, 592)(225, 593)(226, 594)(227, 595)(228, 596)(229, 597)(230, 598)(231, 599)(232, 600)(233, 601)(234, 602)(235, 603)(236, 604)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 615)(248, 616)(249, 617)(250, 618)(251, 619)(252, 620)(253, 621)(254, 622)(255, 623)(256, 624)(257, 625)(258, 626)(259, 627)(260, 628)(261, 629)(262, 630)(263, 631)(264, 632)(265, 633)(266, 634)(267, 635)(268, 636)(269, 637)(270, 638)(271, 639)(272, 640)(273, 641)(274, 642)(275, 643)(276, 644)(277, 645)(278, 646)(279, 647)(280, 648)(281, 649)(282, 650)(283, 651)(284, 652)(285, 653)(286, 654)(287, 655)(288, 656)(289, 657)(290, 658)(291, 659)(292, 660)(293, 661)(294, 662)(295, 663)(296, 664)(297, 665)(298, 666)(299, 667)(300, 668)(301, 669)(302, 670)(303, 671)(304, 672)(305, 673)(306, 674)(307, 675)(308, 676)(309, 677)(310, 678)(311, 679)(312, 680)(313, 681)(314, 682)(315, 683)(316, 684)(317, 685)(318, 686)(319, 687)(320, 688)(321, 689)(322, 690)(323, 691)(324, 692)(325, 693)(326, 694)(327, 695)(328, 696)(329, 697)(330, 698)(331, 699)(332, 700)(333, 701)(334, 702)(335, 703)(336, 704)(337, 705)(338, 706)(339, 707)(340, 708)(341, 709)(342, 710)(343, 711)(344, 712)(345, 713)(346, 714)(347, 715)(348, 716)(349, 717)(350, 718)(351, 719)(352, 720)(353, 721)(354, 722)(355, 723)(356, 724)(357, 725)(358, 726)(359, 727)(360, 728)(361, 729)(362, 730)(363, 731)(364, 732)(365, 733)(366, 734)(367, 735)(368, 736)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1680
Graph:: simple bipartite
	v = 188 e = 368 f = 138
	degree seq :: [ 2^184, 92^4 ]

E22.1684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 46})
Quotient :: dipole
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|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, Y2^46 ]
Map::
	R = (1, 185, 2, 186)(3, 187, 7, 191)(4, 188, 9, 193)(5, 189, 11, 195)(6, 190, 13, 197)(8, 192, 14, 198)(10, 194, 12, 196)(15, 199, 20, 204)(16, 200, 23, 207)(17, 201, 25, 209)(18, 202, 21, 205)(19, 203, 27, 211)(22, 206, 29, 213)(24, 208, 31, 215)(26, 210, 32, 216)(28, 212, 30, 214)(33, 217, 39, 223)(34, 218, 41, 225)(35, 219, 37, 221)(36, 220, 43, 227)(38, 222, 45, 229)(40, 224, 47, 231)(42, 226, 48, 232)(44, 228, 46, 230)(49, 233, 55, 239)(50, 234, 57, 241)(51, 235, 53, 237)(52, 236, 59, 243)(54, 238, 61, 245)(56, 240, 63, 247)(58, 242, 64, 248)(60, 244, 62, 246)(65, 249, 103, 287)(66, 250, 80, 264)(67, 251, 72, 256)(68, 252, 107, 291)(69, 253, 109, 293)(70, 254, 110, 294)(71, 255, 111, 295)(73, 257, 112, 296)(74, 258, 113, 297)(75, 259, 114, 298)(76, 260, 105, 289)(77, 261, 101, 285)(78, 262, 115, 299)(79, 263, 116, 300)(81, 265, 117, 301)(82, 266, 118, 302)(83, 267, 119, 303)(84, 268, 120, 304)(85, 269, 121, 305)(86, 270, 122, 306)(87, 271, 123, 307)(88, 272, 124, 308)(89, 273, 125, 309)(90, 274, 126, 310)(91, 275, 127, 311)(92, 276, 128, 312)(93, 277, 129, 313)(94, 278, 130, 314)(95, 279, 131, 315)(96, 280, 133, 317)(97, 281, 134, 318)(98, 282, 135, 319)(99, 283, 136, 320)(100, 284, 138, 322)(102, 286, 141, 325)(104, 288, 142, 326)(106, 290, 145, 329)(108, 292, 146, 330)(132, 316, 171, 355)(137, 321, 176, 360)(139, 323, 177, 361)(140, 324, 178, 362)(143, 327, 181, 365)(144, 328, 182, 366)(147, 331, 184, 368)(148, 332, 183, 367)(149, 333, 179, 363)(150, 334, 180, 364)(151, 335, 174, 358)(152, 336, 175, 359)(153, 337, 173, 357)(154, 338, 172, 356)(155, 339, 170, 354)(156, 340, 169, 353)(157, 341, 167, 351)(158, 342, 168, 352)(159, 343, 165, 349)(160, 344, 166, 350)(161, 345, 164, 348)(162, 346, 163, 347)(369, 553, 371, 555, 376, 560, 385, 569, 394, 578, 402, 586, 410, 594, 418, 602, 426, 610, 434, 618, 473, 657, 486, 670, 490, 674, 494, 678, 498, 682, 503, 687, 510, 694, 539, 723, 544, 728, 550, 734, 547, 731, 541, 725, 535, 719, 532, 716, 527, 711, 524, 708, 519, 703, 516, 700, 508, 692, 470, 654, 468, 652, 461, 645, 460, 644, 453, 637, 452, 636, 443, 627, 442, 626, 436, 620, 428, 612, 420, 604, 412, 596, 404, 588, 396, 580, 387, 571, 378, 562, 372, 556)(370, 554, 373, 557, 380, 564, 390, 574, 398, 582, 406, 590, 414, 598, 422, 606, 430, 614, 469, 653, 481, 665, 484, 668, 488, 672, 492, 676, 496, 680, 501, 685, 506, 690, 514, 698, 546, 730, 552, 736, 542, 726, 538, 722, 533, 717, 530, 714, 525, 709, 522, 706, 517, 701, 511, 695, 505, 689, 467, 651, 472, 656, 459, 643, 462, 646, 451, 635, 454, 638, 441, 625, 444, 628, 437, 621, 432, 616, 424, 608, 416, 600, 408, 592, 400, 584, 392, 576, 382, 566, 374, 558)(375, 559, 383, 567, 377, 561, 386, 570, 395, 579, 403, 587, 411, 595, 419, 603, 427, 611, 435, 619, 475, 659, 479, 663, 482, 666, 485, 669, 489, 673, 493, 677, 497, 681, 502, 686, 509, 693, 545, 729, 551, 735, 543, 727, 537, 721, 534, 718, 529, 713, 526, 710, 521, 705, 518, 702, 512, 696, 474, 658, 500, 684, 463, 647, 466, 650, 455, 639, 458, 642, 446, 630, 450, 634, 438, 622, 448, 632, 433, 617, 425, 609, 417, 601, 409, 593, 401, 585, 393, 577, 384, 568)(379, 563, 388, 572, 381, 565, 391, 575, 399, 583, 407, 591, 415, 599, 423, 607, 431, 615, 471, 655, 477, 661, 478, 662, 480, 664, 483, 667, 487, 671, 491, 675, 495, 679, 499, 683, 504, 688, 513, 697, 549, 733, 548, 732, 540, 724, 536, 720, 531, 715, 528, 712, 523, 707, 520, 704, 515, 699, 507, 691, 476, 660, 465, 649, 464, 648, 457, 641, 456, 640, 449, 633, 447, 631, 439, 623, 445, 629, 440, 624, 429, 613, 421, 605, 413, 597, 405, 589, 397, 581, 389, 573)
	L = (1, 370)(2, 369)(3, 375)(4, 377)(5, 379)(6, 381)(7, 371)(8, 382)(9, 372)(10, 380)(11, 373)(12, 378)(13, 374)(14, 376)(15, 388)(16, 391)(17, 393)(18, 389)(19, 395)(20, 383)(21, 386)(22, 397)(23, 384)(24, 399)(25, 385)(26, 400)(27, 387)(28, 398)(29, 390)(30, 396)(31, 392)(32, 394)(33, 407)(34, 409)(35, 405)(36, 411)(37, 403)(38, 413)(39, 401)(40, 415)(41, 402)(42, 416)(43, 404)(44, 414)(45, 406)(46, 412)(47, 408)(48, 410)(49, 423)(50, 425)(51, 421)(52, 427)(53, 419)(54, 429)(55, 417)(56, 431)(57, 418)(58, 432)(59, 420)(60, 430)(61, 422)(62, 428)(63, 424)(64, 426)(65, 471)(66, 448)(67, 440)(68, 475)(69, 477)(70, 478)(71, 479)(72, 435)(73, 480)(74, 481)(75, 482)(76, 473)(77, 469)(78, 483)(79, 484)(80, 434)(81, 485)(82, 486)(83, 487)(84, 488)(85, 489)(86, 490)(87, 491)(88, 492)(89, 493)(90, 494)(91, 495)(92, 496)(93, 497)(94, 498)(95, 499)(96, 501)(97, 502)(98, 503)(99, 504)(100, 506)(101, 445)(102, 509)(103, 433)(104, 510)(105, 444)(106, 513)(107, 436)(108, 514)(109, 437)(110, 438)(111, 439)(112, 441)(113, 442)(114, 443)(115, 446)(116, 447)(117, 449)(118, 450)(119, 451)(120, 452)(121, 453)(122, 454)(123, 455)(124, 456)(125, 457)(126, 458)(127, 459)(128, 460)(129, 461)(130, 462)(131, 463)(132, 539)(133, 464)(134, 465)(135, 466)(136, 467)(137, 544)(138, 468)(139, 545)(140, 546)(141, 470)(142, 472)(143, 549)(144, 550)(145, 474)(146, 476)(147, 552)(148, 551)(149, 547)(150, 548)(151, 542)(152, 543)(153, 541)(154, 540)(155, 538)(156, 537)(157, 535)(158, 536)(159, 533)(160, 534)(161, 532)(162, 531)(163, 530)(164, 529)(165, 527)(166, 528)(167, 525)(168, 526)(169, 524)(170, 523)(171, 500)(172, 522)(173, 521)(174, 519)(175, 520)(176, 505)(177, 507)(178, 508)(179, 517)(180, 518)(181, 511)(182, 512)(183, 516)(184, 515)(185, 553)(186, 554)(187, 555)(188, 556)(189, 557)(190, 558)(191, 559)(192, 560)(193, 561)(194, 562)(195, 563)(196, 564)(197, 565)(198, 566)(199, 567)(200, 568)(201, 569)(202, 570)(203, 571)(204, 572)(205, 573)(206, 574)(207, 575)(208, 576)(209, 577)(210, 578)(211, 579)(212, 580)(213, 581)(214, 582)(215, 583)(216, 584)(217, 585)(218, 586)(219, 587)(220, 588)(221, 589)(222, 590)(223, 591)(224, 592)(225, 593)(226, 594)(227, 595)(228, 596)(229, 597)(230, 598)(231, 599)(232, 600)(233, 601)(234, 602)(235, 603)(236, 604)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 615)(248, 616)(249, 617)(250, 618)(251, 619)(252, 620)(253, 621)(254, 622)(255, 623)(256, 624)(257, 625)(258, 626)(259, 627)(260, 628)(261, 629)(262, 630)(263, 631)(264, 632)(265, 633)(266, 634)(267, 635)(268, 636)(269, 637)(270, 638)(271, 639)(272, 640)(273, 641)(274, 642)(275, 643)(276, 644)(277, 645)(278, 646)(279, 647)(280, 648)(281, 649)(282, 650)(283, 651)(284, 652)(285, 653)(286, 654)(287, 655)(288, 656)(289, 657)(290, 658)(291, 659)(292, 660)(293, 661)(294, 662)(295, 663)(296, 664)(297, 665)(298, 666)(299, 667)(300, 668)(301, 669)(302, 670)(303, 671)(304, 672)(305, 673)(306, 674)(307, 675)(308, 676)(309, 677)(310, 678)(311, 679)(312, 680)(313, 681)(314, 682)(315, 683)(316, 684)(317, 685)(318, 686)(319, 687)(320, 688)(321, 689)(322, 690)(323, 691)(324, 692)(325, 693)(326, 694)(327, 695)(328, 696)(329, 697)(330, 698)(331, 699)(332, 700)(333, 701)(334, 702)(335, 703)(336, 704)(337, 705)(338, 706)(339, 707)(340, 708)(341, 709)(342, 710)(343, 711)(344, 712)(345, 713)(346, 714)(347, 715)(348, 716)(349, 717)(350, 718)(351, 719)(352, 720)(353, 721)(354, 722)(355, 723)(356, 724)(357, 725)(358, 726)(359, 727)(360, 728)(361, 729)(362, 730)(363, 731)(364, 732)(365, 733)(366, 734)(367, 735)(368, 736)
	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 ) }
Outer automorphisms :: reflexible
Dual of E22.1685
Graph:: bipartite
	v = 96 e = 368 f = 230
	degree seq :: [ 4^92, 92^4 ]

E22.1685 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 46})
Quotient :: dipole
Aut^+ = (C46 x C2) : C2 (small group id <184, 7>)
Aut   = D8 x D46 (small group id <368, 31>)
|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)^46 ]
Map:: polytopal
	R = (1, 185, 2, 186, 6, 190, 4, 188)(3, 187, 9, 193, 13, 197, 8, 192)(5, 189, 11, 195, 14, 198, 7, 191)(10, 194, 16, 200, 21, 205, 17, 201)(12, 196, 15, 199, 22, 206, 19, 203)(18, 202, 25, 209, 29, 213, 24, 208)(20, 204, 27, 211, 30, 214, 23, 207)(26, 210, 32, 216, 37, 221, 33, 217)(28, 212, 31, 215, 38, 222, 35, 219)(34, 218, 41, 225, 45, 229, 40, 224)(36, 220, 43, 227, 46, 230, 39, 223)(42, 226, 48, 232, 53, 237, 49, 233)(44, 228, 47, 231, 54, 238, 51, 235)(50, 234, 57, 241, 61, 245, 56, 240)(52, 236, 59, 243, 62, 246, 55, 239)(58, 242, 64, 248, 93, 277, 65, 249)(60, 244, 63, 247, 110, 294, 67, 251)(66, 250, 112, 296, 88, 272, 153, 337)(68, 252, 84, 268, 146, 330, 83, 267)(69, 253, 115, 299, 74, 258, 117, 301)(70, 254, 118, 302, 72, 256, 120, 304)(71, 255, 121, 305, 80, 264, 123, 307)(73, 257, 125, 309, 81, 265, 127, 311)(75, 259, 129, 313, 79, 263, 131, 315)(76, 260, 132, 316, 77, 261, 134, 318)(78, 262, 136, 320, 87, 271, 138, 322)(82, 266, 142, 326, 86, 270, 144, 328)(85, 269, 148, 332, 92, 276, 150, 334)(89, 273, 155, 339, 91, 275, 157, 341)(90, 274, 158, 342, 97, 281, 160, 344)(94, 278, 164, 348, 96, 280, 166, 350)(95, 279, 167, 351, 101, 285, 169, 353)(98, 282, 172, 356, 100, 284, 174, 358)(99, 283, 175, 359, 105, 289, 177, 361)(102, 286, 180, 364, 104, 288, 182, 366)(103, 287, 181, 365, 109, 293, 183, 367)(106, 290, 184, 368, 108, 292, 176, 360)(107, 291, 178, 362, 163, 347, 173, 357)(111, 295, 168, 352, 114, 298, 179, 363)(113, 297, 165, 349, 154, 338, 170, 354)(116, 300, 143, 327, 128, 312, 151, 335)(119, 303, 152, 336, 124, 308, 137, 321)(122, 306, 139, 323, 140, 324, 130, 314)(126, 310, 161, 345, 141, 325, 156, 340)(133, 317, 149, 333, 135, 319, 162, 346)(145, 329, 171, 355, 147, 331, 159, 343)(369, 553)(370, 554)(371, 555)(372, 556)(373, 557)(374, 558)(375, 559)(376, 560)(377, 561)(378, 562)(379, 563)(380, 564)(381, 565)(382, 566)(383, 567)(384, 568)(385, 569)(386, 570)(387, 571)(388, 572)(389, 573)(390, 574)(391, 575)(392, 576)(393, 577)(394, 578)(395, 579)(396, 580)(397, 581)(398, 582)(399, 583)(400, 584)(401, 585)(402, 586)(403, 587)(404, 588)(405, 589)(406, 590)(407, 591)(408, 592)(409, 593)(410, 594)(411, 595)(412, 596)(413, 597)(414, 598)(415, 599)(416, 600)(417, 601)(418, 602)(419, 603)(420, 604)(421, 605)(422, 606)(423, 607)(424, 608)(425, 609)(426, 610)(427, 611)(428, 612)(429, 613)(430, 614)(431, 615)(432, 616)(433, 617)(434, 618)(435, 619)(436, 620)(437, 621)(438, 622)(439, 623)(440, 624)(441, 625)(442, 626)(443, 627)(444, 628)(445, 629)(446, 630)(447, 631)(448, 632)(449, 633)(450, 634)(451, 635)(452, 636)(453, 637)(454, 638)(455, 639)(456, 640)(457, 641)(458, 642)(459, 643)(460, 644)(461, 645)(462, 646)(463, 647)(464, 648)(465, 649)(466, 650)(467, 651)(468, 652)(469, 653)(470, 654)(471, 655)(472, 656)(473, 657)(474, 658)(475, 659)(476, 660)(477, 661)(478, 662)(479, 663)(480, 664)(481, 665)(482, 666)(483, 667)(484, 668)(485, 669)(486, 670)(487, 671)(488, 672)(489, 673)(490, 674)(491, 675)(492, 676)(493, 677)(494, 678)(495, 679)(496, 680)(497, 681)(498, 682)(499, 683)(500, 684)(501, 685)(502, 686)(503, 687)(504, 688)(505, 689)(506, 690)(507, 691)(508, 692)(509, 693)(510, 694)(511, 695)(512, 696)(513, 697)(514, 698)(515, 699)(516, 700)(517, 701)(518, 702)(519, 703)(520, 704)(521, 705)(522, 706)(523, 707)(524, 708)(525, 709)(526, 710)(527, 711)(528, 712)(529, 713)(530, 714)(531, 715)(532, 716)(533, 717)(534, 718)(535, 719)(536, 720)(537, 721)(538, 722)(539, 723)(540, 724)(541, 725)(542, 726)(543, 727)(544, 728)(545, 729)(546, 730)(547, 731)(548, 732)(549, 733)(550, 734)(551, 735)(552, 736)
	L = (1, 371)(2, 375)(3, 378)(4, 379)(5, 369)(6, 381)(7, 383)(8, 370)(9, 372)(10, 386)(11, 387)(12, 373)(13, 389)(14, 374)(15, 391)(16, 376)(17, 377)(18, 394)(19, 395)(20, 380)(21, 397)(22, 382)(23, 399)(24, 384)(25, 385)(26, 402)(27, 403)(28, 388)(29, 405)(30, 390)(31, 407)(32, 392)(33, 393)(34, 410)(35, 411)(36, 396)(37, 413)(38, 398)(39, 415)(40, 400)(41, 401)(42, 418)(43, 419)(44, 404)(45, 421)(46, 406)(47, 423)(48, 408)(49, 409)(50, 426)(51, 427)(52, 412)(53, 429)(54, 414)(55, 431)(56, 416)(57, 417)(58, 434)(59, 435)(60, 420)(61, 461)(62, 422)(63, 451)(64, 424)(65, 425)(66, 441)(67, 452)(68, 428)(69, 439)(70, 443)(71, 446)(72, 447)(73, 437)(74, 448)(75, 450)(76, 438)(77, 440)(78, 453)(79, 454)(80, 455)(81, 442)(82, 457)(83, 444)(84, 445)(85, 458)(86, 459)(87, 460)(88, 449)(89, 462)(90, 463)(91, 464)(92, 465)(93, 456)(94, 466)(95, 467)(96, 468)(97, 469)(98, 470)(99, 471)(100, 472)(101, 473)(102, 474)(103, 475)(104, 476)(105, 477)(106, 479)(107, 481)(108, 482)(109, 531)(110, 430)(111, 513)(112, 433)(113, 494)(114, 515)(115, 495)(116, 490)(117, 493)(118, 502)(119, 498)(120, 500)(121, 485)(122, 505)(123, 483)(124, 507)(125, 521)(126, 484)(127, 480)(128, 508)(129, 488)(130, 511)(131, 486)(132, 514)(133, 487)(134, 436)(135, 492)(136, 491)(137, 517)(138, 489)(139, 519)(140, 520)(141, 496)(142, 499)(143, 524)(144, 497)(145, 501)(146, 478)(147, 503)(148, 506)(149, 527)(150, 504)(151, 529)(152, 530)(153, 432)(154, 509)(155, 512)(156, 533)(157, 510)(158, 518)(159, 536)(160, 516)(161, 538)(162, 539)(163, 522)(164, 525)(165, 541)(166, 523)(167, 528)(168, 544)(169, 526)(170, 546)(171, 547)(172, 534)(173, 549)(174, 532)(175, 537)(176, 548)(177, 535)(178, 551)(179, 552)(180, 542)(181, 545)(182, 540)(183, 543)(184, 550)(185, 553)(186, 554)(187, 555)(188, 556)(189, 557)(190, 558)(191, 559)(192, 560)(193, 561)(194, 562)(195, 563)(196, 564)(197, 565)(198, 566)(199, 567)(200, 568)(201, 569)(202, 570)(203, 571)(204, 572)(205, 573)(206, 574)(207, 575)(208, 576)(209, 577)(210, 578)(211, 579)(212, 580)(213, 581)(214, 582)(215, 583)(216, 584)(217, 585)(218, 586)(219, 587)(220, 588)(221, 589)(222, 590)(223, 591)(224, 592)(225, 593)(226, 594)(227, 595)(228, 596)(229, 597)(230, 598)(231, 599)(232, 600)(233, 601)(234, 602)(235, 603)(236, 604)(237, 605)(238, 606)(239, 607)(240, 608)(241, 609)(242, 610)(243, 611)(244, 612)(245, 613)(246, 614)(247, 615)(248, 616)(249, 617)(250, 618)(251, 619)(252, 620)(253, 621)(254, 622)(255, 623)(256, 624)(257, 625)(258, 626)(259, 627)(260, 628)(261, 629)(262, 630)(263, 631)(264, 632)(265, 633)(266, 634)(267, 635)(268, 636)(269, 637)(270, 638)(271, 639)(272, 640)(273, 641)(274, 642)(275, 643)(276, 644)(277, 645)(278, 646)(279, 647)(280, 648)(281, 649)(282, 650)(283, 651)(284, 652)(285, 653)(286, 654)(287, 655)(288, 656)(289, 657)(290, 658)(291, 659)(292, 660)(293, 661)(294, 662)(295, 663)(296, 664)(297, 665)(298, 666)(299, 667)(300, 668)(301, 669)(302, 670)(303, 671)(304, 672)(305, 673)(306, 674)(307, 675)(308, 676)(309, 677)(310, 678)(311, 679)(312, 680)(313, 681)(314, 682)(315, 683)(316, 684)(317, 685)(318, 686)(319, 687)(320, 688)(321, 689)(322, 690)(323, 691)(324, 692)(325, 693)(326, 694)(327, 695)(328, 696)(329, 697)(330, 698)(331, 699)(332, 700)(333, 701)(334, 702)(335, 703)(336, 704)(337, 705)(338, 706)(339, 707)(340, 708)(341, 709)(342, 710)(343, 711)(344, 712)(345, 713)(346, 714)(347, 715)(348, 716)(349, 717)(350, 718)(351, 719)(352, 720)(353, 721)(354, 722)(355, 723)(356, 724)(357, 725)(358, 726)(359, 727)(360, 728)(361, 729)(362, 730)(363, 731)(364, 732)(365, 733)(366, 734)(367, 735)(368, 736)
	local type(s) :: { ( 4, 92 ), ( 4, 92, 4, 92, 4, 92, 4, 92 ) }
Outer automorphisms :: reflexible
Dual of E22.1684
Graph:: simple bipartite
	v = 230 e = 368 f = 96
	degree seq :: [ 2^184, 8^46 ]

E22.1686 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 8})
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, T1^8, T1^8, (T1^3 * T2 * T1)^2, (T1^-1 * T2)^5, (T1^-1 * T2 * T1 * T2)^3, T1^-1 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-1 * T2, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 64, 107, 73, 112, 67, 34)(17, 35, 68, 102, 61, 101, 70, 36)(28, 55, 92, 151, 100, 155, 94, 56)(29, 57, 95, 146, 89, 145, 97, 58)(32, 62, 103, 72, 37, 71, 106, 63)(40, 75, 121, 132, 81, 131, 123, 76)(41, 77, 124, 134, 82, 133, 109, 65)(50, 84, 137, 129, 79, 128, 139, 85)(51, 86, 140, 122, 80, 130, 142, 87)(54, 90, 147, 99, 59, 98, 150, 91)(66, 96, 157, 226, 168, 211, 172, 110)(69, 114, 177, 197, 161, 233, 179, 115)(74, 119, 185, 127, 78, 126, 188, 120)(83, 135, 199, 144, 88, 143, 202, 136)(93, 141, 207, 240, 218, 196, 221, 153)(104, 163, 208, 183, 117, 182, 206, 164)(105, 165, 205, 178, 118, 184, 203, 166)(108, 169, 210, 174, 111, 173, 201, 170)(113, 175, 209, 181, 116, 180, 200, 176)(125, 192, 204, 138, 198, 237, 236, 193)(148, 213, 191, 231, 159, 230, 171, 214)(149, 215, 189, 227, 160, 232, 190, 216)(152, 219, 187, 223, 154, 222, 195, 220)(156, 224, 186, 229, 158, 228, 194, 225)(162, 234, 239, 212, 167, 235, 238, 217)
	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, 65)(34, 66)(35, 69)(36, 55)(38, 73)(39, 74)(42, 78)(43, 79)(44, 80)(47, 81)(48, 82)(49, 83)(52, 88)(53, 89)(56, 93)(57, 96)(58, 84)(60, 100)(62, 104)(63, 105)(64, 108)(67, 111)(68, 113)(70, 116)(71, 117)(72, 118)(75, 122)(76, 115)(77, 125)(85, 138)(86, 141)(87, 131)(90, 148)(91, 149)(92, 152)(94, 154)(95, 156)(97, 158)(98, 159)(99, 160)(101, 161)(102, 155)(103, 162)(106, 167)(107, 168)(109, 171)(110, 163)(112, 134)(114, 178)(119, 186)(120, 187)(121, 189)(123, 190)(124, 191)(126, 194)(127, 195)(128, 146)(129, 193)(130, 196)(132, 197)(133, 198)(135, 200)(136, 201)(137, 203)(139, 205)(140, 206)(142, 208)(143, 209)(144, 210)(145, 211)(147, 212)(150, 217)(151, 218)(153, 213)(157, 227)(164, 223)(165, 214)(166, 233)(169, 207)(170, 228)(172, 216)(173, 221)(174, 224)(175, 232)(176, 204)(177, 225)(179, 229)(180, 215)(181, 236)(182, 226)(183, 220)(184, 231)(185, 235)(188, 234)(192, 222)(199, 238)(202, 239)(219, 237)(230, 240)
	local type(s) :: { ( 5^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1687
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 30 e = 120 f = 48
	degree seq :: [ 8^30 ]

E22.1687 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 8})
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, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2)^2, T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2, T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1, (T1 * T2)^8 ]
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, 92, 50)(32, 59, 104, 107, 60)(34, 62, 110, 112, 63)(35, 64, 113, 116, 65)(40, 72, 127, 130, 73)(41, 74, 131, 134, 75)(43, 77, 137, 140, 78)(48, 87, 151, 154, 88)(52, 94, 163, 166, 95)(53, 84, 147, 168, 96)(56, 99, 173, 175, 100)(57, 101, 176, 128, 102)(61, 108, 185, 188, 109)(66, 117, 197, 199, 118)(68, 120, 202, 204, 121)(69, 122, 205, 207, 123)(71, 125, 210, 165, 126)(76, 135, 214, 167, 136)(80, 142, 115, 196, 143)(81, 132, 155, 222, 144)(85, 148, 160, 203, 149)(90, 156, 212, 153, 157)(91, 158, 187, 139, 159)(93, 161, 225, 226, 162)(97, 169, 145, 192, 170)(98, 171, 146, 193, 172)(103, 179, 215, 217, 138)(105, 181, 198, 152, 182)(106, 183, 186, 218, 141)(111, 190, 133, 180, 191)(114, 194, 231, 184, 195)(119, 200, 174, 220, 201)(124, 208, 177, 221, 209)(129, 206, 216, 234, 213)(150, 189, 232, 233, 211)(164, 219, 178, 223, 227)(224, 230, 237, 239, 235)(228, 229, 238, 240, 236)
	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, 97)(55, 98)(58, 103)(59, 105)(60, 106)(62, 111)(63, 100)(64, 114)(65, 115)(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, 160)(94, 164)(95, 165)(96, 167)(99, 174)(101, 177)(102, 178)(104, 180)(107, 184)(108, 186)(109, 187)(110, 189)(112, 192)(113, 193)(116, 156)(117, 198)(118, 161)(120, 203)(121, 195)(122, 206)(123, 163)(125, 211)(126, 158)(127, 212)(130, 170)(131, 172)(134, 162)(135, 181)(136, 215)(137, 216)(140, 191)(142, 219)(143, 220)(144, 221)(147, 185)(148, 197)(149, 223)(151, 166)(154, 175)(157, 224)(159, 201)(168, 228)(169, 204)(171, 205)(173, 229)(176, 188)(179, 202)(182, 208)(183, 230)(190, 227)(194, 210)(196, 214)(199, 213)(200, 226)(207, 218)(209, 232)(217, 235)(222, 236)(225, 237)(231, 238)(233, 239)(234, 240)
	local type(s) :: { ( 8^5 ) }
Outer automorphisms :: reflexible
Dual of E22.1686
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 120 f = 30
	degree seq :: [ 5^48 ]

E22.1688 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 8})
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 * T2 * T1)^3, (T2 * T1 * T2^2 * T1 * T2 * T1)^2, T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1, T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * 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, 92, 94, 52)(29, 54, 97, 99, 55)(33, 61, 109, 110, 62)(35, 64, 114, 116, 65)(39, 71, 126, 128, 72)(41, 74, 131, 133, 75)(45, 81, 143, 144, 82)(47, 84, 148, 150, 85)(53, 95, 164, 166, 96)(56, 100, 172, 174, 101)(57, 102, 175, 177, 103)(59, 105, 180, 182, 106)(63, 111, 190, 192, 112)(66, 117, 198, 199, 118)(67, 119, 201, 202, 120)(69, 122, 206, 207, 123)(73, 129, 213, 214, 130)(76, 134, 163, 188, 135)(77, 136, 217, 173, 137)(79, 139, 191, 165, 140)(83, 145, 167, 195, 146)(86, 151, 224, 225, 152)(87, 153, 197, 171, 154)(89, 156, 189, 227, 157)(91, 159, 115, 196, 160)(93, 161, 138, 219, 162)(98, 168, 141, 200, 169)(104, 178, 212, 127, 179)(107, 183, 215, 132, 184)(108, 185, 181, 155, 186)(113, 193, 228, 158, 194)(121, 203, 142, 220, 204)(124, 208, 147, 222, 209)(125, 210, 149, 223, 211)(170, 187, 232, 238, 230)(176, 205, 229, 237, 231)(216, 221, 236, 240, 234)(218, 226, 233, 239, 235)(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, 331)(292, 333)(294, 314)(295, 338)(298, 344)(300, 347)(301, 348)(302, 322)(304, 353)(305, 355)(308, 361)(310, 364)(311, 365)(312, 367)(315, 372)(318, 378)(320, 381)(321, 382)(324, 387)(325, 389)(328, 395)(330, 398)(332, 397)(334, 403)(335, 392)(336, 405)(337, 407)(339, 410)(340, 411)(341, 413)(342, 390)(343, 416)(345, 401)(346, 421)(349, 427)(350, 428)(351, 429)(352, 431)(354, 435)(356, 376)(357, 437)(358, 369)(359, 440)(360, 434)(362, 445)(363, 366)(368, 412)(370, 422)(371, 430)(373, 456)(374, 442)(375, 417)(377, 458)(379, 419)(380, 444)(383, 461)(384, 414)(385, 446)(386, 420)(388, 432)(391, 441)(393, 423)(394, 448)(396, 466)(399, 450)(400, 460)(402, 462)(404, 469)(406, 426)(408, 438)(409, 463)(415, 457)(418, 470)(424, 464)(425, 451)(433, 452)(436, 455)(439, 471)(443, 454)(447, 467)(449, 472)(453, 473)(459, 474)(465, 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) :: { ( 16, 16 ), ( 16^5 ) }
Outer automorphisms :: reflexible
Dual of E22.1692
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 240 f = 30
	degree seq :: [ 2^120, 5^48 ]

E22.1689 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 8})
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, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, (T2^3 * T1^-1)^2, (T2^-2 * T1 * T2^-1)^2, T2^8, T2 * T1^-1 * T2^-4 * T1 * T2^3, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1^-2 * T2^-3 * T1^-1 * T2 * T1^-2, T2^2 * T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-2, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 58, 37, 15, 5)(2, 7, 18, 43, 93, 50, 21, 8)(4, 12, 30, 68, 113, 54, 23, 9)(6, 16, 38, 82, 159, 89, 41, 17)(11, 27, 62, 36, 80, 117, 56, 24)(13, 32, 72, 112, 204, 134, 66, 29)(14, 34, 76, 119, 57, 26, 59, 35)(19, 45, 96, 49, 104, 174, 91, 42)(20, 47, 100, 176, 92, 44, 94, 48)(22, 51, 105, 194, 137, 69, 108, 52)(28, 64, 129, 209, 155, 186, 124, 61)(31, 70, 111, 53, 110, 191, 136, 67)(33, 74, 145, 211, 118, 210, 148, 75)(39, 84, 162, 88, 170, 196, 157, 81)(40, 86, 166, 128, 158, 83, 160, 87)(46, 98, 184, 130, 175, 227, 187, 99)(55, 114, 205, 154, 79, 126, 207, 115)(60, 122, 156, 149, 77, 151, 169, 120)(63, 127, 208, 116, 168, 233, 219, 125)(65, 131, 206, 183, 203, 143, 220, 132)(71, 141, 229, 185, 201, 147, 228, 139)(73, 144, 225, 133, 224, 152, 231, 142)(78, 121, 213, 236, 212, 150, 232, 153)(85, 164, 221, 146, 217, 123, 216, 165)(90, 171, 106, 193, 103, 181, 138, 172)(95, 179, 230, 188, 101, 190, 223, 177)(97, 182, 234, 173, 222, 218, 237, 180)(102, 178, 235, 202, 140, 189, 238, 192)(107, 197, 240, 214, 163, 195, 239, 198)(109, 199, 161, 215, 135, 226, 167, 200)(241, 242, 246, 253, 244)(243, 249, 262, 268, 251)(245, 254, 273, 259, 247)(248, 260, 286, 279, 256)(250, 264, 295, 300, 266)(252, 269, 305, 311, 271)(255, 276, 319, 317, 274)(257, 280, 325, 313, 272)(258, 282, 330, 335, 284)(261, 289, 343, 341, 287)(263, 293, 349, 346, 291)(265, 297, 358, 344, 290)(267, 301, 363, 368, 303)(270, 307, 375, 378, 309)(275, 318, 392, 386, 314)(277, 308, 377, 395, 320)(278, 321, 396, 401, 323)(281, 328, 409, 407, 326)(283, 332, 415, 410, 329)(285, 315, 387, 423, 337)(288, 342, 431, 425, 338)(292, 347, 436, 370, 304)(294, 352, 443, 441, 350)(296, 356, 422, 446, 354)(298, 333, 399, 444, 353)(299, 360, 402, 454, 361)(302, 365, 458, 460, 366)(306, 373, 463, 445, 371)(310, 379, 467, 416, 380)(312, 382, 470, 447, 383)(316, 389, 397, 438, 390)(322, 398, 457, 464, 374)(324, 339, 426, 434, 403)(327, 408, 357, 449, 404)(331, 413, 435, 345, 411)(334, 417, 465, 476, 418)(336, 420, 437, 348, 421)(340, 428, 471, 393, 429)(351, 442, 473, 400, 439)(355, 419, 412, 455, 362)(359, 452, 384, 405, 450)(364, 427, 468, 388, 456)(367, 406, 466, 376, 432)(369, 424, 469, 385, 461)(372, 462, 414, 451, 381)(391, 394, 430, 433, 440)(448, 478, 472, 479, 474)(453, 480, 477, 459, 475)
	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 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1693
Transitivity :: ET+
Graph:: simple bipartite
	v = 78 e = 240 f = 120
	degree seq :: [ 5^48, 8^30 ]

E22.1690 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 8})
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, T1^8, T1^8, T1 * T2 * T1^-4 * T2 * T1^3, (T1^3 * T2 * T1)^2, (T2 * T1^-1)^5, (T1^-1 * T2 * T1 * T2)^3, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * 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, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 65)(34, 66)(35, 69)(36, 55)(38, 73)(39, 74)(42, 78)(43, 79)(44, 80)(47, 81)(48, 82)(49, 83)(52, 88)(53, 89)(56, 93)(57, 96)(58, 84)(60, 100)(62, 104)(63, 105)(64, 108)(67, 111)(68, 113)(70, 116)(71, 117)(72, 118)(75, 122)(76, 115)(77, 125)(85, 138)(86, 141)(87, 131)(90, 148)(91, 149)(92, 152)(94, 154)(95, 156)(97, 158)(98, 159)(99, 160)(101, 161)(102, 155)(103, 162)(106, 167)(107, 168)(109, 171)(110, 163)(112, 134)(114, 178)(119, 186)(120, 187)(121, 189)(123, 190)(124, 191)(126, 194)(127, 195)(128, 146)(129, 193)(130, 196)(132, 197)(133, 198)(135, 200)(136, 201)(137, 203)(139, 205)(140, 206)(142, 208)(143, 209)(144, 210)(145, 211)(147, 212)(150, 217)(151, 218)(153, 213)(157, 227)(164, 223)(165, 214)(166, 233)(169, 207)(170, 228)(172, 216)(173, 221)(174, 224)(175, 232)(176, 204)(177, 225)(179, 229)(180, 215)(181, 236)(182, 226)(183, 220)(184, 231)(185, 235)(188, 234)(192, 222)(199, 238)(202, 239)(219, 237)(230, 240)(241, 242, 245, 251, 263, 262, 250, 244)(243, 247, 255, 271, 286, 278, 258, 248)(246, 253, 267, 293, 285, 300, 270, 254)(249, 259, 279, 288, 264, 287, 282, 260)(252, 265, 289, 284, 261, 283, 292, 266)(256, 273, 304, 347, 313, 352, 307, 274)(257, 275, 308, 342, 301, 341, 310, 276)(268, 295, 332, 391, 340, 395, 334, 296)(269, 297, 335, 386, 329, 385, 337, 298)(272, 302, 343, 312, 277, 311, 346, 303)(280, 315, 361, 372, 321, 371, 363, 316)(281, 317, 364, 374, 322, 373, 349, 305)(290, 324, 377, 369, 319, 368, 379, 325)(291, 326, 380, 362, 320, 370, 382, 327)(294, 330, 387, 339, 299, 338, 390, 331)(306, 336, 397, 466, 408, 451, 412, 350)(309, 354, 417, 437, 401, 473, 419, 355)(314, 359, 425, 367, 318, 366, 428, 360)(323, 375, 439, 384, 328, 383, 442, 376)(333, 381, 447, 480, 458, 436, 461, 393)(344, 403, 448, 423, 357, 422, 446, 404)(345, 405, 445, 418, 358, 424, 443, 406)(348, 409, 450, 414, 351, 413, 441, 410)(353, 415, 449, 421, 356, 420, 440, 416)(365, 432, 444, 378, 438, 477, 476, 433)(388, 453, 431, 471, 399, 470, 411, 454)(389, 455, 429, 467, 400, 472, 430, 456)(392, 459, 427, 463, 394, 462, 435, 460)(396, 464, 426, 469, 398, 468, 434, 465)(402, 474, 479, 452, 407, 475, 478, 457)
	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 ), ( 10^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1691
Transitivity :: ET+
Graph:: simple bipartite
	v = 150 e = 240 f = 48
	degree seq :: [ 2^120, 8^30 ]

E22.1691 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 8})
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 * T2 * T1)^3, (T2 * T1 * T2^2 * T1 * T2 * T1)^2, T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1, T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * 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, 92, 332, 94, 334, 52, 292)(29, 269, 54, 294, 97, 337, 99, 339, 55, 295)(33, 273, 61, 301, 109, 349, 110, 350, 62, 302)(35, 275, 64, 304, 114, 354, 116, 356, 65, 305)(39, 279, 71, 311, 126, 366, 128, 368, 72, 312)(41, 281, 74, 314, 131, 371, 133, 373, 75, 315)(45, 285, 81, 321, 143, 383, 144, 384, 82, 322)(47, 287, 84, 324, 148, 388, 150, 390, 85, 325)(53, 293, 95, 335, 164, 404, 166, 406, 96, 336)(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, 111, 351, 190, 430, 192, 432, 112, 352)(66, 306, 117, 357, 198, 438, 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, 129, 369, 213, 453, 214, 454, 130, 370)(76, 316, 134, 374, 163, 403, 188, 428, 135, 375)(77, 317, 136, 376, 217, 457, 173, 413, 137, 377)(79, 319, 139, 379, 191, 431, 165, 405, 140, 380)(83, 323, 145, 385, 167, 407, 195, 435, 146, 386)(86, 326, 151, 391, 224, 464, 225, 465, 152, 392)(87, 327, 153, 393, 197, 437, 171, 411, 154, 394)(89, 329, 156, 396, 189, 429, 227, 467, 157, 397)(91, 331, 159, 399, 115, 355, 196, 436, 160, 400)(93, 333, 161, 401, 138, 378, 219, 459, 162, 402)(98, 338, 168, 408, 141, 381, 200, 440, 169, 409)(104, 344, 178, 418, 212, 452, 127, 367, 179, 419)(107, 347, 183, 423, 215, 455, 132, 372, 184, 424)(108, 348, 185, 425, 181, 421, 155, 395, 186, 426)(113, 353, 193, 433, 228, 468, 158, 398, 194, 434)(121, 361, 203, 443, 142, 382, 220, 460, 204, 444)(124, 364, 208, 448, 147, 387, 222, 462, 209, 449)(125, 365, 210, 450, 149, 389, 223, 463, 211, 451)(170, 410, 187, 427, 232, 472, 238, 478, 230, 470)(176, 416, 205, 445, 229, 469, 237, 477, 231, 471)(216, 456, 221, 461, 236, 476, 240, 480, 234, 474)(218, 458, 226, 466, 233, 473, 239, 479, 235, 475)
	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, 331)(52, 333)(53, 268)(54, 314)(55, 338)(56, 270)(57, 271)(58, 344)(59, 272)(60, 347)(61, 348)(62, 322)(63, 274)(64, 353)(65, 355)(66, 276)(67, 277)(68, 361)(69, 278)(70, 364)(71, 365)(72, 367)(73, 280)(74, 294)(75, 372)(76, 282)(77, 283)(78, 378)(79, 284)(80, 381)(81, 382)(82, 302)(83, 286)(84, 387)(85, 389)(86, 288)(87, 289)(88, 395)(89, 290)(90, 398)(91, 291)(92, 397)(93, 292)(94, 403)(95, 392)(96, 405)(97, 407)(98, 295)(99, 410)(100, 411)(101, 413)(102, 390)(103, 416)(104, 298)(105, 401)(106, 421)(107, 300)(108, 301)(109, 427)(110, 428)(111, 429)(112, 431)(113, 304)(114, 435)(115, 305)(116, 376)(117, 437)(118, 369)(119, 440)(120, 434)(121, 308)(122, 445)(123, 366)(124, 310)(125, 311)(126, 363)(127, 312)(128, 412)(129, 358)(130, 422)(131, 430)(132, 315)(133, 456)(134, 442)(135, 417)(136, 356)(137, 458)(138, 318)(139, 419)(140, 444)(141, 320)(142, 321)(143, 461)(144, 414)(145, 446)(146, 420)(147, 324)(148, 432)(149, 325)(150, 342)(151, 441)(152, 335)(153, 423)(154, 448)(155, 328)(156, 466)(157, 332)(158, 330)(159, 450)(160, 460)(161, 345)(162, 462)(163, 334)(164, 469)(165, 336)(166, 426)(167, 337)(168, 438)(169, 463)(170, 339)(171, 340)(172, 368)(173, 341)(174, 384)(175, 457)(176, 343)(177, 375)(178, 470)(179, 379)(180, 386)(181, 346)(182, 370)(183, 393)(184, 464)(185, 451)(186, 406)(187, 349)(188, 350)(189, 351)(190, 371)(191, 352)(192, 388)(193, 452)(194, 360)(195, 354)(196, 455)(197, 357)(198, 408)(199, 471)(200, 359)(201, 391)(202, 374)(203, 454)(204, 380)(205, 362)(206, 385)(207, 467)(208, 394)(209, 472)(210, 399)(211, 425)(212, 433)(213, 473)(214, 443)(215, 436)(216, 373)(217, 415)(218, 377)(219, 474)(220, 400)(221, 383)(222, 402)(223, 409)(224, 424)(225, 475)(226, 396)(227, 447)(228, 476)(229, 404)(230, 418)(231, 439)(232, 449)(233, 453)(234, 459)(235, 465)(236, 468)(237, 480)(238, 479)(239, 478)(240, 477)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1690
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 240 f = 150
	degree seq :: [ 10^48 ]

E22.1692 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 8})
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, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, (T2^3 * T1^-1)^2, (T2^-2 * T1 * T2^-1)^2, T2^8, T2 * T1^-1 * T2^-4 * T1 * T2^3, T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1^-2 * T2^-3 * T1^-1 * T2 * T1^-2, T2^2 * T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-2, (T2 * T1^-1)^6 ]
Map::
	R = (1, 241, 3, 243, 10, 250, 25, 265, 58, 298, 37, 277, 15, 255, 5, 245)(2, 242, 7, 247, 18, 258, 43, 283, 93, 333, 50, 290, 21, 261, 8, 248)(4, 244, 12, 252, 30, 270, 68, 308, 113, 353, 54, 294, 23, 263, 9, 249)(6, 246, 16, 256, 38, 278, 82, 322, 159, 399, 89, 329, 41, 281, 17, 257)(11, 251, 27, 267, 62, 302, 36, 276, 80, 320, 117, 357, 56, 296, 24, 264)(13, 253, 32, 272, 72, 312, 112, 352, 204, 444, 134, 374, 66, 306, 29, 269)(14, 254, 34, 274, 76, 316, 119, 359, 57, 297, 26, 266, 59, 299, 35, 275)(19, 259, 45, 285, 96, 336, 49, 289, 104, 344, 174, 414, 91, 331, 42, 282)(20, 260, 47, 287, 100, 340, 176, 416, 92, 332, 44, 284, 94, 334, 48, 288)(22, 262, 51, 291, 105, 345, 194, 434, 137, 377, 69, 309, 108, 348, 52, 292)(28, 268, 64, 304, 129, 369, 209, 449, 155, 395, 186, 426, 124, 364, 61, 301)(31, 271, 70, 310, 111, 351, 53, 293, 110, 350, 191, 431, 136, 376, 67, 307)(33, 273, 74, 314, 145, 385, 211, 451, 118, 358, 210, 450, 148, 388, 75, 315)(39, 279, 84, 324, 162, 402, 88, 328, 170, 410, 196, 436, 157, 397, 81, 321)(40, 280, 86, 326, 166, 406, 128, 368, 158, 398, 83, 323, 160, 400, 87, 327)(46, 286, 98, 338, 184, 424, 130, 370, 175, 415, 227, 467, 187, 427, 99, 339)(55, 295, 114, 354, 205, 445, 154, 394, 79, 319, 126, 366, 207, 447, 115, 355)(60, 300, 122, 362, 156, 396, 149, 389, 77, 317, 151, 391, 169, 409, 120, 360)(63, 303, 127, 367, 208, 448, 116, 356, 168, 408, 233, 473, 219, 459, 125, 365)(65, 305, 131, 371, 206, 446, 183, 423, 203, 443, 143, 383, 220, 460, 132, 372)(71, 311, 141, 381, 229, 469, 185, 425, 201, 441, 147, 387, 228, 468, 139, 379)(73, 313, 144, 384, 225, 465, 133, 373, 224, 464, 152, 392, 231, 471, 142, 382)(78, 318, 121, 361, 213, 453, 236, 476, 212, 452, 150, 390, 232, 472, 153, 393)(85, 325, 164, 404, 221, 461, 146, 386, 217, 457, 123, 363, 216, 456, 165, 405)(90, 330, 171, 411, 106, 346, 193, 433, 103, 343, 181, 421, 138, 378, 172, 412)(95, 335, 179, 419, 230, 470, 188, 428, 101, 341, 190, 430, 223, 463, 177, 417)(97, 337, 182, 422, 234, 474, 173, 413, 222, 462, 218, 458, 237, 477, 180, 420)(102, 342, 178, 418, 235, 475, 202, 442, 140, 380, 189, 429, 238, 478, 192, 432)(107, 347, 197, 437, 240, 480, 214, 454, 163, 403, 195, 435, 239, 479, 198, 438)(109, 349, 199, 439, 161, 401, 215, 455, 135, 375, 226, 466, 167, 407, 200, 440)
	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, 280)(18, 282)(19, 247)(20, 286)(21, 289)(22, 268)(23, 293)(24, 295)(25, 297)(26, 250)(27, 301)(28, 251)(29, 305)(30, 307)(31, 252)(32, 257)(33, 259)(34, 255)(35, 318)(36, 319)(37, 308)(38, 321)(39, 256)(40, 325)(41, 328)(42, 330)(43, 332)(44, 258)(45, 315)(46, 279)(47, 261)(48, 342)(49, 343)(50, 265)(51, 263)(52, 347)(53, 349)(54, 352)(55, 300)(56, 356)(57, 358)(58, 333)(59, 360)(60, 266)(61, 363)(62, 365)(63, 267)(64, 292)(65, 311)(66, 373)(67, 375)(68, 377)(69, 270)(70, 379)(71, 271)(72, 382)(73, 272)(74, 275)(75, 387)(76, 389)(77, 274)(78, 392)(79, 317)(80, 277)(81, 396)(82, 398)(83, 278)(84, 339)(85, 313)(86, 281)(87, 408)(88, 409)(89, 283)(90, 335)(91, 413)(92, 415)(93, 399)(94, 417)(95, 284)(96, 420)(97, 285)(98, 288)(99, 426)(100, 428)(101, 287)(102, 431)(103, 341)(104, 290)(105, 411)(106, 291)(107, 436)(108, 421)(109, 346)(110, 294)(111, 442)(112, 443)(113, 298)(114, 296)(115, 419)(116, 422)(117, 449)(118, 344)(119, 452)(120, 402)(121, 299)(122, 355)(123, 368)(124, 427)(125, 458)(126, 302)(127, 406)(128, 303)(129, 424)(130, 304)(131, 306)(132, 462)(133, 463)(134, 322)(135, 378)(136, 432)(137, 395)(138, 309)(139, 467)(140, 310)(141, 372)(142, 470)(143, 312)(144, 405)(145, 461)(146, 314)(147, 423)(148, 456)(149, 397)(150, 316)(151, 394)(152, 386)(153, 429)(154, 430)(155, 320)(156, 401)(157, 438)(158, 457)(159, 444)(160, 439)(161, 323)(162, 454)(163, 324)(164, 327)(165, 450)(166, 466)(167, 326)(168, 357)(169, 407)(170, 329)(171, 331)(172, 455)(173, 435)(174, 451)(175, 410)(176, 380)(177, 465)(178, 334)(179, 412)(180, 437)(181, 336)(182, 446)(183, 337)(184, 469)(185, 338)(186, 434)(187, 468)(188, 471)(189, 340)(190, 433)(191, 425)(192, 367)(193, 440)(194, 403)(195, 345)(196, 370)(197, 348)(198, 390)(199, 351)(200, 391)(201, 350)(202, 473)(203, 441)(204, 353)(205, 371)(206, 354)(207, 383)(208, 478)(209, 404)(210, 359)(211, 381)(212, 384)(213, 480)(214, 361)(215, 362)(216, 364)(217, 464)(218, 460)(219, 475)(220, 366)(221, 369)(222, 414)(223, 445)(224, 374)(225, 476)(226, 376)(227, 416)(228, 388)(229, 385)(230, 447)(231, 393)(232, 479)(233, 400)(234, 448)(235, 453)(236, 418)(237, 459)(238, 472)(239, 474)(240, 477)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E22.1688
Transitivity :: ET+ VT+ AT
Graph::
	v = 30 e = 240 f = 168
	degree seq :: [ 16^30 ]

E22.1693 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 8})
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, T1^8, T1^8, T1 * T2 * T1^-4 * T2 * T1^3, (T1^3 * T2 * T1)^2, (T2 * T1^-1)^5, (T1^-1 * T2 * T1 * T2)^3, (T2 * T1 * T2 * T1^-1)^3, T2 * T1^3 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^-1, T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 ]
Map:: polytopal 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, 24, 264)(13, 253, 28, 268)(14, 254, 29, 269)(15, 255, 32, 272)(18, 258, 37, 277)(19, 259, 40, 280)(20, 260, 41, 281)(22, 262, 45, 285)(23, 263, 46, 286)(25, 265, 50, 290)(26, 266, 51, 291)(27, 267, 54, 294)(30, 270, 59, 299)(31, 271, 61, 301)(33, 273, 65, 305)(34, 274, 66, 306)(35, 275, 69, 309)(36, 276, 55, 295)(38, 278, 73, 313)(39, 279, 74, 314)(42, 282, 78, 318)(43, 283, 79, 319)(44, 284, 80, 320)(47, 287, 81, 321)(48, 288, 82, 322)(49, 289, 83, 323)(52, 292, 88, 328)(53, 293, 89, 329)(56, 296, 93, 333)(57, 297, 96, 336)(58, 298, 84, 324)(60, 300, 100, 340)(62, 302, 104, 344)(63, 303, 105, 345)(64, 304, 108, 348)(67, 307, 111, 351)(68, 308, 113, 353)(70, 310, 116, 356)(71, 311, 117, 357)(72, 312, 118, 358)(75, 315, 122, 362)(76, 316, 115, 355)(77, 317, 125, 365)(85, 325, 138, 378)(86, 326, 141, 381)(87, 327, 131, 371)(90, 330, 148, 388)(91, 331, 149, 389)(92, 332, 152, 392)(94, 334, 154, 394)(95, 335, 156, 396)(97, 337, 158, 398)(98, 338, 159, 399)(99, 339, 160, 400)(101, 341, 161, 401)(102, 342, 155, 395)(103, 343, 162, 402)(106, 346, 167, 407)(107, 347, 168, 408)(109, 349, 171, 411)(110, 350, 163, 403)(112, 352, 134, 374)(114, 354, 178, 418)(119, 359, 186, 426)(120, 360, 187, 427)(121, 361, 189, 429)(123, 363, 190, 430)(124, 364, 191, 431)(126, 366, 194, 434)(127, 367, 195, 435)(128, 368, 146, 386)(129, 369, 193, 433)(130, 370, 196, 436)(132, 372, 197, 437)(133, 373, 198, 438)(135, 375, 200, 440)(136, 376, 201, 441)(137, 377, 203, 443)(139, 379, 205, 445)(140, 380, 206, 446)(142, 382, 208, 448)(143, 383, 209, 449)(144, 384, 210, 450)(145, 385, 211, 451)(147, 387, 212, 452)(150, 390, 217, 457)(151, 391, 218, 458)(153, 393, 213, 453)(157, 397, 227, 467)(164, 404, 223, 463)(165, 405, 214, 454)(166, 406, 233, 473)(169, 409, 207, 447)(170, 410, 228, 468)(172, 412, 216, 456)(173, 413, 221, 461)(174, 414, 224, 464)(175, 415, 232, 472)(176, 416, 204, 444)(177, 417, 225, 465)(179, 419, 229, 469)(180, 420, 215, 455)(181, 421, 236, 476)(182, 422, 226, 466)(183, 423, 220, 460)(184, 424, 231, 471)(185, 425, 235, 475)(188, 428, 234, 474)(192, 432, 222, 462)(199, 439, 238, 478)(202, 442, 239, 479)(219, 459, 237, 477)(230, 470, 240, 480)
	L = (1, 242)(2, 245)(3, 247)(4, 241)(5, 251)(6, 253)(7, 255)(8, 243)(9, 259)(10, 244)(11, 263)(12, 265)(13, 267)(14, 246)(15, 271)(16, 273)(17, 275)(18, 248)(19, 279)(20, 249)(21, 283)(22, 250)(23, 262)(24, 287)(25, 289)(26, 252)(27, 293)(28, 295)(29, 297)(30, 254)(31, 286)(32, 302)(33, 304)(34, 256)(35, 308)(36, 257)(37, 311)(38, 258)(39, 288)(40, 315)(41, 317)(42, 260)(43, 292)(44, 261)(45, 300)(46, 278)(47, 282)(48, 264)(49, 284)(50, 324)(51, 326)(52, 266)(53, 285)(54, 330)(55, 332)(56, 268)(57, 335)(58, 269)(59, 338)(60, 270)(61, 341)(62, 343)(63, 272)(64, 347)(65, 281)(66, 336)(67, 274)(68, 342)(69, 354)(70, 276)(71, 346)(72, 277)(73, 352)(74, 359)(75, 361)(76, 280)(77, 364)(78, 366)(79, 368)(80, 370)(81, 371)(82, 373)(83, 375)(84, 377)(85, 290)(86, 380)(87, 291)(88, 383)(89, 385)(90, 387)(91, 294)(92, 391)(93, 381)(94, 296)(95, 386)(96, 397)(97, 298)(98, 390)(99, 299)(100, 395)(101, 310)(102, 301)(103, 312)(104, 403)(105, 405)(106, 303)(107, 313)(108, 409)(109, 305)(110, 306)(111, 413)(112, 307)(113, 415)(114, 417)(115, 309)(116, 420)(117, 422)(118, 424)(119, 425)(120, 314)(121, 372)(122, 320)(123, 316)(124, 374)(125, 432)(126, 428)(127, 318)(128, 379)(129, 319)(130, 382)(131, 363)(132, 321)(133, 349)(134, 322)(135, 439)(136, 323)(137, 369)(138, 438)(139, 325)(140, 362)(141, 447)(142, 327)(143, 442)(144, 328)(145, 337)(146, 329)(147, 339)(148, 453)(149, 455)(150, 331)(151, 340)(152, 459)(153, 333)(154, 462)(155, 334)(156, 464)(157, 466)(158, 468)(159, 470)(160, 472)(161, 473)(162, 474)(163, 448)(164, 344)(165, 445)(166, 345)(167, 475)(168, 451)(169, 450)(170, 348)(171, 454)(172, 350)(173, 441)(174, 351)(175, 449)(176, 353)(177, 437)(178, 358)(179, 355)(180, 440)(181, 356)(182, 446)(183, 357)(184, 443)(185, 367)(186, 469)(187, 463)(188, 360)(189, 467)(190, 456)(191, 471)(192, 444)(193, 365)(194, 465)(195, 460)(196, 461)(197, 401)(198, 477)(199, 384)(200, 416)(201, 410)(202, 376)(203, 406)(204, 378)(205, 418)(206, 404)(207, 480)(208, 423)(209, 421)(210, 414)(211, 412)(212, 407)(213, 431)(214, 388)(215, 429)(216, 389)(217, 402)(218, 436)(219, 427)(220, 392)(221, 393)(222, 435)(223, 394)(224, 426)(225, 396)(226, 408)(227, 400)(228, 434)(229, 398)(230, 411)(231, 399)(232, 430)(233, 419)(234, 479)(235, 478)(236, 433)(237, 476)(238, 457)(239, 452)(240, 458)
	local type(s) :: { ( 5, 8, 5, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1689
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 120 e = 240 f = 78
	degree seq :: [ 4^120 ]

E22.1694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8})
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, R * Y2^-2 * R * Y1 * Y2^-2 * Y1, (Y1 * Y2^-2 * R)^2, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
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, 91, 331)(52, 292, 93, 333)(54, 294, 74, 314)(55, 295, 98, 338)(58, 298, 104, 344)(60, 300, 107, 347)(61, 301, 108, 348)(62, 302, 82, 322)(64, 304, 113, 353)(65, 305, 115, 355)(68, 308, 121, 361)(70, 310, 124, 364)(71, 311, 125, 365)(72, 312, 127, 367)(75, 315, 132, 372)(78, 318, 138, 378)(80, 320, 141, 381)(81, 321, 142, 382)(84, 324, 147, 387)(85, 325, 149, 389)(88, 328, 155, 395)(90, 330, 158, 398)(92, 332, 157, 397)(94, 334, 163, 403)(95, 335, 152, 392)(96, 336, 165, 405)(97, 337, 167, 407)(99, 339, 170, 410)(100, 340, 171, 411)(101, 341, 173, 413)(102, 342, 150, 390)(103, 343, 176, 416)(105, 345, 161, 401)(106, 346, 181, 421)(109, 349, 187, 427)(110, 350, 188, 428)(111, 351, 189, 429)(112, 352, 191, 431)(114, 354, 195, 435)(116, 356, 136, 376)(117, 357, 197, 437)(118, 358, 129, 369)(119, 359, 200, 440)(120, 360, 194, 434)(122, 362, 205, 445)(123, 363, 126, 366)(128, 368, 172, 412)(130, 370, 182, 422)(131, 371, 190, 430)(133, 373, 216, 456)(134, 374, 202, 442)(135, 375, 177, 417)(137, 377, 218, 458)(139, 379, 179, 419)(140, 380, 204, 444)(143, 383, 221, 461)(144, 384, 174, 414)(145, 385, 206, 446)(146, 386, 180, 420)(148, 388, 192, 432)(151, 391, 201, 441)(153, 393, 183, 423)(154, 394, 208, 448)(156, 396, 226, 466)(159, 399, 210, 450)(160, 400, 220, 460)(162, 402, 222, 462)(164, 404, 229, 469)(166, 406, 186, 426)(168, 408, 198, 438)(169, 409, 223, 463)(175, 415, 217, 457)(178, 418, 230, 470)(184, 424, 224, 464)(185, 425, 211, 451)(193, 433, 212, 452)(196, 436, 215, 455)(199, 439, 231, 471)(203, 443, 214, 454)(207, 447, 227, 467)(209, 449, 232, 472)(213, 453, 233, 473)(219, 459, 234, 474)(225, 465, 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, 572, 812, 574, 814, 532, 772)(509, 749, 534, 774, 577, 817, 579, 819, 535, 775)(513, 753, 541, 781, 589, 829, 590, 830, 542, 782)(515, 755, 544, 784, 594, 834, 596, 836, 545, 785)(519, 759, 551, 791, 606, 846, 608, 848, 552, 792)(521, 761, 554, 794, 611, 851, 613, 853, 555, 795)(525, 765, 561, 801, 623, 863, 624, 864, 562, 802)(527, 767, 564, 804, 628, 868, 630, 870, 565, 805)(533, 773, 575, 815, 644, 884, 646, 886, 576, 816)(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, 591, 831, 670, 910, 672, 912, 592, 832)(546, 786, 597, 837, 678, 918, 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, 609, 849, 693, 933, 694, 934, 610, 850)(556, 796, 614, 854, 643, 883, 668, 908, 615, 855)(557, 797, 616, 856, 697, 937, 653, 893, 617, 857)(559, 799, 619, 859, 671, 911, 645, 885, 620, 860)(563, 803, 625, 865, 647, 887, 675, 915, 626, 866)(566, 806, 631, 871, 704, 944, 705, 945, 632, 872)(567, 807, 633, 873, 677, 917, 651, 891, 634, 874)(569, 809, 636, 876, 669, 909, 707, 947, 637, 877)(571, 811, 639, 879, 595, 835, 676, 916, 640, 880)(573, 813, 641, 881, 618, 858, 699, 939, 642, 882)(578, 818, 648, 888, 621, 861, 680, 920, 649, 889)(584, 824, 658, 898, 692, 932, 607, 847, 659, 899)(587, 827, 663, 903, 695, 935, 612, 852, 664, 904)(588, 828, 665, 905, 661, 901, 635, 875, 666, 906)(593, 833, 673, 913, 708, 948, 638, 878, 674, 914)(601, 841, 683, 923, 622, 862, 700, 940, 684, 924)(604, 844, 688, 928, 627, 867, 702, 942, 689, 929)(605, 845, 690, 930, 629, 869, 703, 943, 691, 931)(650, 890, 667, 907, 712, 952, 718, 958, 710, 950)(656, 896, 685, 925, 709, 949, 717, 957, 711, 951)(696, 936, 701, 941, 716, 956, 720, 960, 714, 954)(698, 938, 706, 946, 713, 953, 719, 959, 715, 955)
	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, 571)(52, 573)(53, 508)(54, 554)(55, 578)(56, 510)(57, 511)(58, 584)(59, 512)(60, 587)(61, 588)(62, 562)(63, 514)(64, 593)(65, 595)(66, 516)(67, 517)(68, 601)(69, 518)(70, 604)(71, 605)(72, 607)(73, 520)(74, 534)(75, 612)(76, 522)(77, 523)(78, 618)(79, 524)(80, 621)(81, 622)(82, 542)(83, 526)(84, 627)(85, 629)(86, 528)(87, 529)(88, 635)(89, 530)(90, 638)(91, 531)(92, 637)(93, 532)(94, 643)(95, 632)(96, 645)(97, 647)(98, 535)(99, 650)(100, 651)(101, 653)(102, 630)(103, 656)(104, 538)(105, 641)(106, 661)(107, 540)(108, 541)(109, 667)(110, 668)(111, 669)(112, 671)(113, 544)(114, 675)(115, 545)(116, 616)(117, 677)(118, 609)(119, 680)(120, 674)(121, 548)(122, 685)(123, 606)(124, 550)(125, 551)(126, 603)(127, 552)(128, 652)(129, 598)(130, 662)(131, 670)(132, 555)(133, 696)(134, 682)(135, 657)(136, 596)(137, 698)(138, 558)(139, 659)(140, 684)(141, 560)(142, 561)(143, 701)(144, 654)(145, 686)(146, 660)(147, 564)(148, 672)(149, 565)(150, 582)(151, 681)(152, 575)(153, 663)(154, 688)(155, 568)(156, 706)(157, 572)(158, 570)(159, 690)(160, 700)(161, 585)(162, 702)(163, 574)(164, 709)(165, 576)(166, 666)(167, 577)(168, 678)(169, 703)(170, 579)(171, 580)(172, 608)(173, 581)(174, 624)(175, 697)(176, 583)(177, 615)(178, 710)(179, 619)(180, 626)(181, 586)(182, 610)(183, 633)(184, 704)(185, 691)(186, 646)(187, 589)(188, 590)(189, 591)(190, 611)(191, 592)(192, 628)(193, 692)(194, 600)(195, 594)(196, 695)(197, 597)(198, 648)(199, 711)(200, 599)(201, 631)(202, 614)(203, 694)(204, 620)(205, 602)(206, 625)(207, 707)(208, 634)(209, 712)(210, 639)(211, 665)(212, 673)(213, 713)(214, 683)(215, 676)(216, 613)(217, 655)(218, 617)(219, 714)(220, 640)(221, 623)(222, 642)(223, 649)(224, 664)(225, 715)(226, 636)(227, 687)(228, 716)(229, 644)(230, 658)(231, 679)(232, 689)(233, 693)(234, 699)(235, 705)(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, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1697
Graph:: bipartite
	v = 168 e = 480 f = 270
	degree seq :: [ 4^120, 10^48 ]

E22.1695 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8})
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, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (Y2^3 * Y1^-1)^2, (Y2^-2 * Y1 * Y2^-1)^2, Y2^8, Y2 * Y1^-1 * Y2 * Y1^-2 * Y2^-3 * Y1^-1 * Y2 * Y1^-2, Y2^2 * Y1^-2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-2, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1^2 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1^-1)^6 ]
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, 46, 286, 39, 279, 16, 256)(10, 250, 24, 264, 55, 295, 60, 300, 26, 266)(12, 252, 29, 269, 65, 305, 71, 311, 31, 271)(15, 255, 36, 276, 79, 319, 77, 317, 34, 274)(17, 257, 40, 280, 85, 325, 73, 313, 32, 272)(18, 258, 42, 282, 90, 330, 95, 335, 44, 284)(21, 261, 49, 289, 103, 343, 101, 341, 47, 287)(23, 263, 53, 293, 109, 349, 106, 346, 51, 291)(25, 265, 57, 297, 118, 358, 104, 344, 50, 290)(27, 267, 61, 301, 123, 363, 128, 368, 63, 303)(30, 270, 67, 307, 135, 375, 138, 378, 69, 309)(35, 275, 78, 318, 152, 392, 146, 386, 74, 314)(37, 277, 68, 308, 137, 377, 155, 395, 80, 320)(38, 278, 81, 321, 156, 396, 161, 401, 83, 323)(41, 281, 88, 328, 169, 409, 167, 407, 86, 326)(43, 283, 92, 332, 175, 415, 170, 410, 89, 329)(45, 285, 75, 315, 147, 387, 183, 423, 97, 337)(48, 288, 102, 342, 191, 431, 185, 425, 98, 338)(52, 292, 107, 347, 196, 436, 130, 370, 64, 304)(54, 294, 112, 352, 203, 443, 201, 441, 110, 350)(56, 296, 116, 356, 182, 422, 206, 446, 114, 354)(58, 298, 93, 333, 159, 399, 204, 444, 113, 353)(59, 299, 120, 360, 162, 402, 214, 454, 121, 361)(62, 302, 125, 365, 218, 458, 220, 460, 126, 366)(66, 306, 133, 373, 223, 463, 205, 445, 131, 371)(70, 310, 139, 379, 227, 467, 176, 416, 140, 380)(72, 312, 142, 382, 230, 470, 207, 447, 143, 383)(76, 316, 149, 389, 157, 397, 198, 438, 150, 390)(82, 322, 158, 398, 217, 457, 224, 464, 134, 374)(84, 324, 99, 339, 186, 426, 194, 434, 163, 403)(87, 327, 168, 408, 117, 357, 209, 449, 164, 404)(91, 331, 173, 413, 195, 435, 105, 345, 171, 411)(94, 334, 177, 417, 225, 465, 236, 476, 178, 418)(96, 336, 180, 420, 197, 437, 108, 348, 181, 421)(100, 340, 188, 428, 231, 471, 153, 393, 189, 429)(111, 351, 202, 442, 233, 473, 160, 400, 199, 439)(115, 355, 179, 419, 172, 412, 215, 455, 122, 362)(119, 359, 212, 452, 144, 384, 165, 405, 210, 450)(124, 364, 187, 427, 228, 468, 148, 388, 216, 456)(127, 367, 166, 406, 226, 466, 136, 376, 192, 432)(129, 369, 184, 424, 229, 469, 145, 385, 221, 461)(132, 372, 222, 462, 174, 414, 211, 451, 141, 381)(151, 391, 154, 394, 190, 430, 193, 433, 200, 440)(208, 448, 238, 478, 232, 472, 239, 479, 234, 474)(213, 453, 240, 480, 237, 477, 219, 459, 235, 475)(481, 721, 483, 723, 490, 730, 505, 745, 538, 778, 517, 757, 495, 735, 485, 725)(482, 722, 487, 727, 498, 738, 523, 763, 573, 813, 530, 770, 501, 741, 488, 728)(484, 724, 492, 732, 510, 750, 548, 788, 593, 833, 534, 774, 503, 743, 489, 729)(486, 726, 496, 736, 518, 758, 562, 802, 639, 879, 569, 809, 521, 761, 497, 737)(491, 731, 507, 747, 542, 782, 516, 756, 560, 800, 597, 837, 536, 776, 504, 744)(493, 733, 512, 752, 552, 792, 592, 832, 684, 924, 614, 854, 546, 786, 509, 749)(494, 734, 514, 754, 556, 796, 599, 839, 537, 777, 506, 746, 539, 779, 515, 755)(499, 739, 525, 765, 576, 816, 529, 769, 584, 824, 654, 894, 571, 811, 522, 762)(500, 740, 527, 767, 580, 820, 656, 896, 572, 812, 524, 764, 574, 814, 528, 768)(502, 742, 531, 771, 585, 825, 674, 914, 617, 857, 549, 789, 588, 828, 532, 772)(508, 748, 544, 784, 609, 849, 689, 929, 635, 875, 666, 906, 604, 844, 541, 781)(511, 751, 550, 790, 591, 831, 533, 773, 590, 830, 671, 911, 616, 856, 547, 787)(513, 753, 554, 794, 625, 865, 691, 931, 598, 838, 690, 930, 628, 868, 555, 795)(519, 759, 564, 804, 642, 882, 568, 808, 650, 890, 676, 916, 637, 877, 561, 801)(520, 760, 566, 806, 646, 886, 608, 848, 638, 878, 563, 803, 640, 880, 567, 807)(526, 766, 578, 818, 664, 904, 610, 850, 655, 895, 707, 947, 667, 907, 579, 819)(535, 775, 594, 834, 685, 925, 634, 874, 559, 799, 606, 846, 687, 927, 595, 835)(540, 780, 602, 842, 636, 876, 629, 869, 557, 797, 631, 871, 649, 889, 600, 840)(543, 783, 607, 847, 688, 928, 596, 836, 648, 888, 713, 953, 699, 939, 605, 845)(545, 785, 611, 851, 686, 926, 663, 903, 683, 923, 623, 863, 700, 940, 612, 852)(551, 791, 621, 861, 709, 949, 665, 905, 681, 921, 627, 867, 708, 948, 619, 859)(553, 793, 624, 864, 705, 945, 613, 853, 704, 944, 632, 872, 711, 951, 622, 862)(558, 798, 601, 841, 693, 933, 716, 956, 692, 932, 630, 870, 712, 952, 633, 873)(565, 805, 644, 884, 701, 941, 626, 866, 697, 937, 603, 843, 696, 936, 645, 885)(570, 810, 651, 891, 586, 826, 673, 913, 583, 823, 661, 901, 618, 858, 652, 892)(575, 815, 659, 899, 710, 950, 668, 908, 581, 821, 670, 910, 703, 943, 657, 897)(577, 817, 662, 902, 714, 954, 653, 893, 702, 942, 698, 938, 717, 957, 660, 900)(582, 822, 658, 898, 715, 955, 682, 922, 620, 860, 669, 909, 718, 958, 672, 912)(587, 827, 677, 917, 720, 960, 694, 934, 643, 883, 675, 915, 719, 959, 678, 918)(589, 829, 679, 919, 641, 881, 695, 935, 615, 855, 706, 946, 647, 887, 680, 920)
	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, 518)(17, 486)(18, 523)(19, 525)(20, 527)(21, 488)(22, 531)(23, 489)(24, 491)(25, 538)(26, 539)(27, 542)(28, 544)(29, 493)(30, 548)(31, 550)(32, 552)(33, 554)(34, 556)(35, 494)(36, 560)(37, 495)(38, 562)(39, 564)(40, 566)(41, 497)(42, 499)(43, 573)(44, 574)(45, 576)(46, 578)(47, 580)(48, 500)(49, 584)(50, 501)(51, 585)(52, 502)(53, 590)(54, 503)(55, 594)(56, 504)(57, 506)(58, 517)(59, 515)(60, 602)(61, 508)(62, 516)(63, 607)(64, 609)(65, 611)(66, 509)(67, 511)(68, 593)(69, 588)(70, 591)(71, 621)(72, 592)(73, 624)(74, 625)(75, 513)(76, 599)(77, 631)(78, 601)(79, 606)(80, 597)(81, 519)(82, 639)(83, 640)(84, 642)(85, 644)(86, 646)(87, 520)(88, 650)(89, 521)(90, 651)(91, 522)(92, 524)(93, 530)(94, 528)(95, 659)(96, 529)(97, 662)(98, 664)(99, 526)(100, 656)(101, 670)(102, 658)(103, 661)(104, 654)(105, 674)(106, 673)(107, 677)(108, 532)(109, 679)(110, 671)(111, 533)(112, 684)(113, 534)(114, 685)(115, 535)(116, 648)(117, 536)(118, 690)(119, 537)(120, 540)(121, 693)(122, 636)(123, 696)(124, 541)(125, 543)(126, 687)(127, 688)(128, 638)(129, 689)(130, 655)(131, 686)(132, 545)(133, 704)(134, 546)(135, 706)(136, 547)(137, 549)(138, 652)(139, 551)(140, 669)(141, 709)(142, 553)(143, 700)(144, 705)(145, 691)(146, 697)(147, 708)(148, 555)(149, 557)(150, 712)(151, 649)(152, 711)(153, 558)(154, 559)(155, 666)(156, 629)(157, 561)(158, 563)(159, 569)(160, 567)(161, 695)(162, 568)(163, 675)(164, 701)(165, 565)(166, 608)(167, 680)(168, 713)(169, 600)(170, 676)(171, 586)(172, 570)(173, 702)(174, 571)(175, 707)(176, 572)(177, 575)(178, 715)(179, 710)(180, 577)(181, 618)(182, 714)(183, 683)(184, 610)(185, 681)(186, 604)(187, 579)(188, 581)(189, 718)(190, 703)(191, 616)(192, 582)(193, 583)(194, 617)(195, 719)(196, 637)(197, 720)(198, 587)(199, 641)(200, 589)(201, 627)(202, 620)(203, 623)(204, 614)(205, 634)(206, 663)(207, 595)(208, 596)(209, 635)(210, 628)(211, 598)(212, 630)(213, 716)(214, 643)(215, 615)(216, 645)(217, 603)(218, 717)(219, 605)(220, 612)(221, 626)(222, 698)(223, 657)(224, 632)(225, 613)(226, 647)(227, 667)(228, 619)(229, 665)(230, 668)(231, 622)(232, 633)(233, 699)(234, 653)(235, 682)(236, 692)(237, 660)(238, 672)(239, 678)(240, 694)(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, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1696
Graph:: bipartite
	v = 78 e = 480 f = 360
	degree seq :: [ 10^48, 16^30 ]

E22.1696 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8})
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 * Y2)^5, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y2 * Y3 * Y2 * Y3^-1)^3, Y3^3 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^8 ]
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, 505, 745)(494, 734, 509, 749)(495, 735, 511, 751)(496, 736, 513, 753)(498, 738, 517, 757)(499, 739, 519, 759)(500, 740, 521, 761)(502, 742, 525, 765)(503, 743, 526, 766)(504, 744, 528, 768)(506, 746, 532, 772)(507, 747, 534, 774)(508, 748, 536, 776)(510, 750, 540, 780)(512, 752, 542, 782)(514, 754, 546, 786)(515, 755, 548, 788)(516, 756, 550, 790)(518, 758, 533, 773)(520, 760, 556, 796)(522, 762, 558, 798)(523, 763, 559, 799)(524, 764, 560, 800)(527, 767, 562, 802)(529, 769, 566, 806)(530, 770, 568, 808)(531, 771, 570, 810)(535, 775, 576, 816)(537, 777, 578, 818)(538, 778, 579, 819)(539, 779, 580, 820)(541, 781, 581, 821)(543, 783, 585, 825)(544, 784, 564, 804)(545, 785, 587, 827)(547, 787, 591, 831)(549, 789, 593, 833)(551, 791, 596, 836)(552, 792, 597, 837)(553, 793, 598, 838)(554, 794, 599, 839)(555, 795, 575, 815)(557, 797, 604, 844)(561, 801, 611, 851)(563, 803, 615, 855)(565, 805, 617, 857)(567, 807, 621, 861)(569, 809, 623, 863)(571, 811, 626, 866)(572, 812, 627, 867)(573, 813, 628, 868)(574, 814, 629, 869)(577, 817, 634, 874)(582, 822, 643, 883)(583, 823, 644, 884)(584, 824, 646, 886)(586, 826, 650, 890)(588, 828, 652, 892)(589, 829, 653, 893)(590, 830, 654, 894)(592, 832, 655, 895)(594, 834, 641, 881)(595, 835, 660, 900)(600, 840, 665, 905)(601, 841, 666, 906)(602, 842, 667, 907)(603, 843, 669, 909)(605, 845, 673, 913)(606, 846, 674, 914)(607, 847, 675, 915)(608, 848, 649, 889)(609, 849, 672, 912)(610, 850, 676, 916)(612, 852, 679, 919)(613, 853, 680, 920)(614, 854, 682, 922)(616, 856, 686, 926)(618, 858, 688, 928)(619, 859, 689, 929)(620, 860, 690, 930)(622, 862, 691, 931)(624, 864, 677, 917)(625, 865, 696, 936)(630, 870, 701, 941)(631, 871, 702, 942)(632, 872, 703, 943)(633, 873, 705, 945)(635, 875, 709, 949)(636, 876, 710, 950)(637, 877, 711, 951)(638, 878, 685, 925)(639, 879, 708, 948)(640, 880, 712, 952)(642, 882, 713, 953)(645, 885, 699, 939)(647, 887, 694, 934)(648, 888, 684, 924)(651, 891, 697, 937)(656, 896, 695, 935)(657, 897, 706, 946)(658, 898, 683, 923)(659, 899, 692, 932)(661, 901, 687, 927)(662, 902, 704, 944)(663, 903, 681, 921)(664, 904, 700, 940)(668, 908, 698, 938)(670, 910, 693, 933)(671, 911, 714, 954)(678, 918, 717, 957)(707, 947, 718, 958)(715, 955, 720, 960)(716, 956, 719, 959)
	L = (1, 483)(2, 485)(3, 488)(4, 481)(5, 492)(6, 482)(7, 495)(8, 498)(9, 499)(10, 484)(11, 503)(12, 506)(13, 507)(14, 486)(15, 512)(16, 487)(17, 515)(18, 518)(19, 520)(20, 489)(21, 523)(22, 490)(23, 527)(24, 491)(25, 530)(26, 533)(27, 535)(28, 493)(29, 538)(30, 494)(31, 536)(32, 543)(33, 544)(34, 496)(35, 549)(36, 497)(37, 552)(38, 502)(39, 554)(40, 553)(41, 557)(42, 500)(43, 551)(44, 501)(45, 547)(46, 521)(47, 563)(48, 564)(49, 504)(50, 569)(51, 505)(52, 572)(53, 510)(54, 574)(55, 573)(56, 577)(57, 508)(58, 571)(59, 509)(60, 567)(61, 511)(62, 583)(63, 525)(64, 586)(65, 513)(66, 589)(67, 514)(68, 587)(69, 524)(70, 594)(71, 516)(72, 522)(73, 517)(74, 600)(75, 519)(76, 602)(77, 605)(78, 606)(79, 608)(80, 610)(81, 526)(82, 613)(83, 540)(84, 616)(85, 528)(86, 619)(87, 529)(88, 617)(89, 539)(90, 624)(91, 531)(92, 537)(93, 532)(94, 630)(95, 534)(96, 632)(97, 635)(98, 636)(99, 638)(100, 640)(101, 641)(102, 541)(103, 645)(104, 542)(105, 648)(106, 649)(107, 651)(108, 545)(109, 647)(110, 546)(111, 628)(112, 548)(113, 657)(114, 659)(115, 550)(116, 662)(117, 660)(118, 612)(119, 560)(120, 664)(121, 555)(122, 668)(123, 556)(124, 671)(125, 621)(126, 670)(127, 558)(128, 656)(129, 559)(130, 661)(131, 677)(132, 561)(133, 681)(134, 562)(135, 684)(136, 685)(137, 687)(138, 565)(139, 683)(140, 566)(141, 598)(142, 568)(143, 693)(144, 695)(145, 570)(146, 698)(147, 696)(148, 582)(149, 580)(150, 700)(151, 575)(152, 704)(153, 576)(154, 707)(155, 591)(156, 706)(157, 578)(158, 692)(159, 579)(160, 697)(161, 680)(162, 581)(163, 714)(164, 713)(165, 590)(166, 710)(167, 584)(168, 588)(169, 585)(170, 690)(171, 609)(172, 682)(173, 678)(174, 703)(175, 679)(176, 592)(177, 715)(178, 593)(179, 599)(180, 601)(181, 595)(182, 716)(183, 596)(184, 597)(185, 686)(186, 688)(187, 702)(188, 607)(189, 691)(190, 603)(191, 705)(192, 604)(193, 712)(194, 701)(195, 708)(196, 689)(197, 644)(198, 611)(199, 718)(200, 717)(201, 620)(202, 674)(203, 614)(204, 618)(205, 615)(206, 654)(207, 639)(208, 646)(209, 642)(210, 667)(211, 643)(212, 622)(213, 719)(214, 623)(215, 629)(216, 631)(217, 625)(218, 720)(219, 626)(220, 627)(221, 650)(222, 652)(223, 666)(224, 637)(225, 655)(226, 633)(227, 669)(228, 634)(229, 676)(230, 665)(231, 672)(232, 653)(233, 673)(234, 675)(235, 663)(236, 658)(237, 709)(238, 711)(239, 699)(240, 694)(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, 16 ), ( 10, 16, 10, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1695
Graph:: simple bipartite
	v = 360 e = 480 f = 78
	degree seq :: [ 2^240, 4^120 ]

E22.1697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8})
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 * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^8, Y1^8, Y1^8, (Y1 * Y3)^5, (Y1^2 * Y3 * Y1^2)^2, (Y3 * Y1 * Y3 * Y1^-1)^3, Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 23, 263, 22, 262, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 31, 271, 46, 286, 38, 278, 18, 258, 8, 248)(6, 246, 13, 253, 27, 267, 53, 293, 45, 285, 60, 300, 30, 270, 14, 254)(9, 249, 19, 259, 39, 279, 48, 288, 24, 264, 47, 287, 42, 282, 20, 260)(12, 252, 25, 265, 49, 289, 44, 284, 21, 261, 43, 283, 52, 292, 26, 266)(16, 256, 33, 273, 64, 304, 107, 347, 73, 313, 112, 352, 67, 307, 34, 274)(17, 257, 35, 275, 68, 308, 102, 342, 61, 301, 101, 341, 70, 310, 36, 276)(28, 268, 55, 295, 92, 332, 151, 391, 100, 340, 155, 395, 94, 334, 56, 296)(29, 269, 57, 297, 95, 335, 146, 386, 89, 329, 145, 385, 97, 337, 58, 298)(32, 272, 62, 302, 103, 343, 72, 312, 37, 277, 71, 311, 106, 346, 63, 303)(40, 280, 75, 315, 121, 361, 132, 372, 81, 321, 131, 371, 123, 363, 76, 316)(41, 281, 77, 317, 124, 364, 134, 374, 82, 322, 133, 373, 109, 349, 65, 305)(50, 290, 84, 324, 137, 377, 129, 369, 79, 319, 128, 368, 139, 379, 85, 325)(51, 291, 86, 326, 140, 380, 122, 362, 80, 320, 130, 370, 142, 382, 87, 327)(54, 294, 90, 330, 147, 387, 99, 339, 59, 299, 98, 338, 150, 390, 91, 331)(66, 306, 96, 336, 157, 397, 226, 466, 168, 408, 211, 451, 172, 412, 110, 350)(69, 309, 114, 354, 177, 417, 197, 437, 161, 401, 233, 473, 179, 419, 115, 355)(74, 314, 119, 359, 185, 425, 127, 367, 78, 318, 126, 366, 188, 428, 120, 360)(83, 323, 135, 375, 199, 439, 144, 384, 88, 328, 143, 383, 202, 442, 136, 376)(93, 333, 141, 381, 207, 447, 240, 480, 218, 458, 196, 436, 221, 461, 153, 393)(104, 344, 163, 403, 208, 448, 183, 423, 117, 357, 182, 422, 206, 446, 164, 404)(105, 345, 165, 405, 205, 445, 178, 418, 118, 358, 184, 424, 203, 443, 166, 406)(108, 348, 169, 409, 210, 450, 174, 414, 111, 351, 173, 413, 201, 441, 170, 410)(113, 353, 175, 415, 209, 449, 181, 421, 116, 356, 180, 420, 200, 440, 176, 416)(125, 365, 192, 432, 204, 444, 138, 378, 198, 438, 237, 477, 236, 476, 193, 433)(148, 388, 213, 453, 191, 431, 231, 471, 159, 399, 230, 470, 171, 411, 214, 454)(149, 389, 215, 455, 189, 429, 227, 467, 160, 400, 232, 472, 190, 430, 216, 456)(152, 392, 219, 459, 187, 427, 223, 463, 154, 394, 222, 462, 195, 435, 220, 460)(156, 396, 224, 464, 186, 426, 229, 469, 158, 398, 228, 468, 194, 434, 225, 465)(162, 402, 234, 474, 239, 479, 212, 452, 167, 407, 235, 475, 238, 478, 217, 457)(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, 504)(12, 485)(13, 508)(14, 509)(15, 512)(16, 487)(17, 488)(18, 517)(19, 520)(20, 521)(21, 490)(22, 525)(23, 526)(24, 491)(25, 530)(26, 531)(27, 534)(28, 493)(29, 494)(30, 539)(31, 541)(32, 495)(33, 545)(34, 546)(35, 549)(36, 535)(37, 498)(38, 553)(39, 554)(40, 499)(41, 500)(42, 558)(43, 559)(44, 560)(45, 502)(46, 503)(47, 561)(48, 562)(49, 563)(50, 505)(51, 506)(52, 568)(53, 569)(54, 507)(55, 516)(56, 573)(57, 576)(58, 564)(59, 510)(60, 580)(61, 511)(62, 584)(63, 585)(64, 588)(65, 513)(66, 514)(67, 591)(68, 593)(69, 515)(70, 596)(71, 597)(72, 598)(73, 518)(74, 519)(75, 602)(76, 595)(77, 605)(78, 522)(79, 523)(80, 524)(81, 527)(82, 528)(83, 529)(84, 538)(85, 618)(86, 621)(87, 611)(88, 532)(89, 533)(90, 628)(91, 629)(92, 632)(93, 536)(94, 634)(95, 636)(96, 537)(97, 638)(98, 639)(99, 640)(100, 540)(101, 641)(102, 635)(103, 642)(104, 542)(105, 543)(106, 647)(107, 648)(108, 544)(109, 651)(110, 643)(111, 547)(112, 614)(113, 548)(114, 658)(115, 556)(116, 550)(117, 551)(118, 552)(119, 666)(120, 667)(121, 669)(122, 555)(123, 670)(124, 671)(125, 557)(126, 674)(127, 675)(128, 626)(129, 673)(130, 676)(131, 567)(132, 677)(133, 678)(134, 592)(135, 680)(136, 681)(137, 683)(138, 565)(139, 685)(140, 686)(141, 566)(142, 688)(143, 689)(144, 690)(145, 691)(146, 608)(147, 692)(148, 570)(149, 571)(150, 697)(151, 698)(152, 572)(153, 693)(154, 574)(155, 582)(156, 575)(157, 707)(158, 577)(159, 578)(160, 579)(161, 581)(162, 583)(163, 590)(164, 703)(165, 694)(166, 713)(167, 586)(168, 587)(169, 687)(170, 708)(171, 589)(172, 696)(173, 701)(174, 704)(175, 712)(176, 684)(177, 705)(178, 594)(179, 709)(180, 695)(181, 716)(182, 706)(183, 700)(184, 711)(185, 715)(186, 599)(187, 600)(188, 714)(189, 601)(190, 603)(191, 604)(192, 702)(193, 609)(194, 606)(195, 607)(196, 610)(197, 612)(198, 613)(199, 718)(200, 615)(201, 616)(202, 719)(203, 617)(204, 656)(205, 619)(206, 620)(207, 649)(208, 622)(209, 623)(210, 624)(211, 625)(212, 627)(213, 633)(214, 645)(215, 660)(216, 652)(217, 630)(218, 631)(219, 717)(220, 663)(221, 653)(222, 672)(223, 644)(224, 654)(225, 657)(226, 662)(227, 637)(228, 650)(229, 659)(230, 720)(231, 664)(232, 655)(233, 646)(234, 668)(235, 665)(236, 661)(237, 699)(238, 679)(239, 682)(240, 710)(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, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1694
Graph:: simple bipartite
	v = 270 e = 480 f = 168
	degree seq :: [ 2^240, 16^30 ]

E22.1698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8})
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, Y2^8, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^2 * R * Y1 * Y2)^2, (Y2^-2 * R * Y2^-2)^2, (Y3 * Y2^-1)^5, (Y2 * Y1)^5, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2 * Y1 * Y2^-2, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 ]
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, 25, 265)(14, 254, 29, 269)(15, 255, 31, 271)(16, 256, 33, 273)(18, 258, 37, 277)(19, 259, 39, 279)(20, 260, 41, 281)(22, 262, 45, 285)(23, 263, 46, 286)(24, 264, 48, 288)(26, 266, 52, 292)(27, 267, 54, 294)(28, 268, 56, 296)(30, 270, 60, 300)(32, 272, 62, 302)(34, 274, 66, 306)(35, 275, 68, 308)(36, 276, 70, 310)(38, 278, 53, 293)(40, 280, 76, 316)(42, 282, 78, 318)(43, 283, 79, 319)(44, 284, 80, 320)(47, 287, 82, 322)(49, 289, 86, 326)(50, 290, 88, 328)(51, 291, 90, 330)(55, 295, 96, 336)(57, 297, 98, 338)(58, 298, 99, 339)(59, 299, 100, 340)(61, 301, 101, 341)(63, 303, 105, 345)(64, 304, 84, 324)(65, 305, 107, 347)(67, 307, 111, 351)(69, 309, 113, 353)(71, 311, 116, 356)(72, 312, 117, 357)(73, 313, 118, 358)(74, 314, 119, 359)(75, 315, 95, 335)(77, 317, 124, 364)(81, 321, 131, 371)(83, 323, 135, 375)(85, 325, 137, 377)(87, 327, 141, 381)(89, 329, 143, 383)(91, 331, 146, 386)(92, 332, 147, 387)(93, 333, 148, 388)(94, 334, 149, 389)(97, 337, 154, 394)(102, 342, 163, 403)(103, 343, 164, 404)(104, 344, 166, 406)(106, 346, 170, 410)(108, 348, 172, 412)(109, 349, 173, 413)(110, 350, 174, 414)(112, 352, 175, 415)(114, 354, 161, 401)(115, 355, 180, 420)(120, 360, 185, 425)(121, 361, 186, 426)(122, 362, 187, 427)(123, 363, 189, 429)(125, 365, 193, 433)(126, 366, 194, 434)(127, 367, 195, 435)(128, 368, 169, 409)(129, 369, 192, 432)(130, 370, 196, 436)(132, 372, 199, 439)(133, 373, 200, 440)(134, 374, 202, 442)(136, 376, 206, 446)(138, 378, 208, 448)(139, 379, 209, 449)(140, 380, 210, 450)(142, 382, 211, 451)(144, 384, 197, 437)(145, 385, 216, 456)(150, 390, 221, 461)(151, 391, 222, 462)(152, 392, 223, 463)(153, 393, 225, 465)(155, 395, 229, 469)(156, 396, 230, 470)(157, 397, 231, 471)(158, 398, 205, 445)(159, 399, 228, 468)(160, 400, 232, 472)(162, 402, 233, 473)(165, 405, 219, 459)(167, 407, 214, 454)(168, 408, 204, 444)(171, 411, 217, 457)(176, 416, 215, 455)(177, 417, 226, 466)(178, 418, 203, 443)(179, 419, 212, 452)(181, 421, 207, 447)(182, 422, 224, 464)(183, 423, 201, 441)(184, 424, 220, 460)(188, 428, 218, 458)(190, 430, 213, 453)(191, 431, 234, 474)(198, 438, 237, 477)(227, 467, 238, 478)(235, 475, 240, 480)(236, 476, 239, 479)(481, 721, 483, 723, 488, 728, 498, 738, 518, 758, 502, 742, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 506, 746, 533, 773, 510, 750, 494, 734, 486, 726)(487, 727, 495, 735, 512, 752, 543, 783, 525, 765, 547, 787, 514, 754, 496, 736)(489, 729, 499, 739, 520, 760, 553, 793, 517, 757, 552, 792, 522, 762, 500, 740)(491, 731, 503, 743, 527, 767, 563, 803, 540, 780, 567, 807, 529, 769, 504, 744)(493, 733, 507, 747, 535, 775, 573, 813, 532, 772, 572, 812, 537, 777, 508, 748)(497, 737, 515, 755, 549, 789, 524, 764, 501, 741, 523, 763, 551, 791, 516, 756)(505, 745, 530, 770, 569, 809, 539, 779, 509, 749, 538, 778, 571, 811, 531, 771)(511, 751, 536, 776, 577, 817, 635, 875, 591, 831, 628, 868, 582, 822, 541, 781)(513, 753, 544, 784, 586, 826, 649, 889, 585, 825, 648, 888, 588, 828, 545, 785)(519, 759, 554, 794, 600, 840, 664, 904, 597, 837, 660, 900, 601, 841, 555, 795)(521, 761, 557, 797, 605, 845, 621, 861, 598, 838, 612, 852, 561, 801, 526, 766)(528, 768, 564, 804, 616, 856, 685, 925, 615, 855, 684, 924, 618, 858, 565, 805)(534, 774, 574, 814, 630, 870, 700, 940, 627, 867, 696, 936, 631, 871, 575, 815)(542, 782, 583, 823, 645, 885, 590, 830, 546, 786, 589, 829, 647, 887, 584, 824)(548, 788, 587, 827, 651, 891, 609, 849, 559, 799, 608, 848, 656, 896, 592, 832)(550, 790, 594, 834, 659, 899, 599, 839, 560, 800, 610, 850, 661, 901, 595, 835)(556, 796, 602, 842, 668, 908, 607, 847, 558, 798, 606, 846, 670, 910, 603, 843)(562, 802, 613, 853, 681, 921, 620, 860, 566, 806, 619, 859, 683, 923, 614, 854)(568, 808, 617, 857, 687, 927, 639, 879, 579, 819, 638, 878, 692, 932, 622, 862)(570, 810, 624, 864, 695, 935, 629, 869, 580, 820, 640, 880, 697, 937, 625, 865)(576, 816, 632, 872, 704, 944, 637, 877, 578, 818, 636, 876, 706, 946, 633, 873)(581, 821, 641, 881, 680, 920, 717, 957, 709, 949, 676, 916, 689, 929, 642, 882)(593, 833, 657, 897, 715, 955, 663, 903, 596, 836, 662, 902, 716, 956, 658, 898)(604, 844, 671, 911, 705, 945, 655, 895, 679, 919, 718, 958, 711, 951, 672, 912)(611, 851, 677, 917, 644, 884, 713, 953, 673, 913, 712, 952, 653, 893, 678, 918)(623, 863, 693, 933, 719, 959, 699, 939, 626, 866, 698, 938, 720, 960, 694, 934)(634, 874, 707, 947, 669, 909, 691, 931, 643, 883, 714, 954, 675, 915, 708, 948)(646, 886, 710, 950, 665, 905, 686, 926, 654, 894, 703, 943, 666, 906, 688, 928)(650, 890, 690, 930, 667, 907, 702, 942, 652, 892, 682, 922, 674, 914, 701, 941)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 505)(13, 486)(14, 509)(15, 511)(16, 513)(17, 488)(18, 517)(19, 519)(20, 521)(21, 490)(22, 525)(23, 526)(24, 528)(25, 492)(26, 532)(27, 534)(28, 536)(29, 494)(30, 540)(31, 495)(32, 542)(33, 496)(34, 546)(35, 548)(36, 550)(37, 498)(38, 533)(39, 499)(40, 556)(41, 500)(42, 558)(43, 559)(44, 560)(45, 502)(46, 503)(47, 562)(48, 504)(49, 566)(50, 568)(51, 570)(52, 506)(53, 518)(54, 507)(55, 576)(56, 508)(57, 578)(58, 579)(59, 580)(60, 510)(61, 581)(62, 512)(63, 585)(64, 564)(65, 587)(66, 514)(67, 591)(68, 515)(69, 593)(70, 516)(71, 596)(72, 597)(73, 598)(74, 599)(75, 575)(76, 520)(77, 604)(78, 522)(79, 523)(80, 524)(81, 611)(82, 527)(83, 615)(84, 544)(85, 617)(86, 529)(87, 621)(88, 530)(89, 623)(90, 531)(91, 626)(92, 627)(93, 628)(94, 629)(95, 555)(96, 535)(97, 634)(98, 537)(99, 538)(100, 539)(101, 541)(102, 643)(103, 644)(104, 646)(105, 543)(106, 650)(107, 545)(108, 652)(109, 653)(110, 654)(111, 547)(112, 655)(113, 549)(114, 641)(115, 660)(116, 551)(117, 552)(118, 553)(119, 554)(120, 665)(121, 666)(122, 667)(123, 669)(124, 557)(125, 673)(126, 674)(127, 675)(128, 649)(129, 672)(130, 676)(131, 561)(132, 679)(133, 680)(134, 682)(135, 563)(136, 686)(137, 565)(138, 688)(139, 689)(140, 690)(141, 567)(142, 691)(143, 569)(144, 677)(145, 696)(146, 571)(147, 572)(148, 573)(149, 574)(150, 701)(151, 702)(152, 703)(153, 705)(154, 577)(155, 709)(156, 710)(157, 711)(158, 685)(159, 708)(160, 712)(161, 594)(162, 713)(163, 582)(164, 583)(165, 699)(166, 584)(167, 694)(168, 684)(169, 608)(170, 586)(171, 697)(172, 588)(173, 589)(174, 590)(175, 592)(176, 695)(177, 706)(178, 683)(179, 692)(180, 595)(181, 687)(182, 704)(183, 681)(184, 700)(185, 600)(186, 601)(187, 602)(188, 698)(189, 603)(190, 693)(191, 714)(192, 609)(193, 605)(194, 606)(195, 607)(196, 610)(197, 624)(198, 717)(199, 612)(200, 613)(201, 663)(202, 614)(203, 658)(204, 648)(205, 638)(206, 616)(207, 661)(208, 618)(209, 619)(210, 620)(211, 622)(212, 659)(213, 670)(214, 647)(215, 656)(216, 625)(217, 651)(218, 668)(219, 645)(220, 664)(221, 630)(222, 631)(223, 632)(224, 662)(225, 633)(226, 657)(227, 718)(228, 639)(229, 635)(230, 636)(231, 637)(232, 640)(233, 642)(234, 671)(235, 720)(236, 719)(237, 678)(238, 707)(239, 716)(240, 715)(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, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E22.1699
Graph:: bipartite
	v = 150 e = 480 f = 288
	degree seq :: [ 4^120, 16^30 ]

E22.1699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 8})
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, (Y3^3 * Y1^-1)^2, Y3^2 * Y1^-2 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^8 ]
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, 46, 286, 39, 279, 16, 256)(10, 250, 24, 264, 55, 295, 60, 300, 26, 266)(12, 252, 29, 269, 65, 305, 71, 311, 31, 271)(15, 255, 36, 276, 79, 319, 77, 317, 34, 274)(17, 257, 40, 280, 85, 325, 73, 313, 32, 272)(18, 258, 42, 282, 90, 330, 95, 335, 44, 284)(21, 261, 49, 289, 103, 343, 101, 341, 47, 287)(23, 263, 53, 293, 109, 349, 106, 346, 51, 291)(25, 265, 57, 297, 118, 358, 104, 344, 50, 290)(27, 267, 61, 301, 123, 363, 128, 368, 63, 303)(30, 270, 67, 307, 135, 375, 138, 378, 69, 309)(35, 275, 78, 318, 152, 392, 146, 386, 74, 314)(37, 277, 68, 308, 137, 377, 155, 395, 80, 320)(38, 278, 81, 321, 156, 396, 161, 401, 83, 323)(41, 281, 88, 328, 169, 409, 167, 407, 86, 326)(43, 283, 92, 332, 175, 415, 170, 410, 89, 329)(45, 285, 75, 315, 147, 387, 183, 423, 97, 337)(48, 288, 102, 342, 191, 431, 185, 425, 98, 338)(52, 292, 107, 347, 196, 436, 130, 370, 64, 304)(54, 294, 112, 352, 203, 443, 201, 441, 110, 350)(56, 296, 116, 356, 182, 422, 206, 446, 114, 354)(58, 298, 93, 333, 159, 399, 204, 444, 113, 353)(59, 299, 120, 360, 162, 402, 214, 454, 121, 361)(62, 302, 125, 365, 218, 458, 220, 460, 126, 366)(66, 306, 133, 373, 223, 463, 205, 445, 131, 371)(70, 310, 139, 379, 227, 467, 176, 416, 140, 380)(72, 312, 142, 382, 230, 470, 207, 447, 143, 383)(76, 316, 149, 389, 157, 397, 198, 438, 150, 390)(82, 322, 158, 398, 217, 457, 224, 464, 134, 374)(84, 324, 99, 339, 186, 426, 194, 434, 163, 403)(87, 327, 168, 408, 117, 357, 209, 449, 164, 404)(91, 331, 173, 413, 195, 435, 105, 345, 171, 411)(94, 334, 177, 417, 225, 465, 236, 476, 178, 418)(96, 336, 180, 420, 197, 437, 108, 348, 181, 421)(100, 340, 188, 428, 231, 471, 153, 393, 189, 429)(111, 351, 202, 442, 233, 473, 160, 400, 199, 439)(115, 355, 179, 419, 172, 412, 215, 455, 122, 362)(119, 359, 212, 452, 144, 384, 165, 405, 210, 450)(124, 364, 187, 427, 228, 468, 148, 388, 216, 456)(127, 367, 166, 406, 226, 466, 136, 376, 192, 432)(129, 369, 184, 424, 229, 469, 145, 385, 221, 461)(132, 372, 222, 462, 174, 414, 211, 451, 141, 381)(151, 391, 154, 394, 190, 430, 193, 433, 200, 440)(208, 448, 238, 478, 232, 472, 239, 479, 234, 474)(213, 453, 240, 480, 237, 477, 219, 459, 235, 475)(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, 518)(17, 486)(18, 523)(19, 525)(20, 527)(21, 488)(22, 531)(23, 489)(24, 491)(25, 538)(26, 539)(27, 542)(28, 544)(29, 493)(30, 548)(31, 550)(32, 552)(33, 554)(34, 556)(35, 494)(36, 560)(37, 495)(38, 562)(39, 564)(40, 566)(41, 497)(42, 499)(43, 573)(44, 574)(45, 576)(46, 578)(47, 580)(48, 500)(49, 584)(50, 501)(51, 585)(52, 502)(53, 590)(54, 503)(55, 594)(56, 504)(57, 506)(58, 517)(59, 515)(60, 602)(61, 508)(62, 516)(63, 607)(64, 609)(65, 611)(66, 509)(67, 511)(68, 593)(69, 588)(70, 591)(71, 621)(72, 592)(73, 624)(74, 625)(75, 513)(76, 599)(77, 631)(78, 601)(79, 606)(80, 597)(81, 519)(82, 639)(83, 640)(84, 642)(85, 644)(86, 646)(87, 520)(88, 650)(89, 521)(90, 651)(91, 522)(92, 524)(93, 530)(94, 528)(95, 659)(96, 529)(97, 662)(98, 664)(99, 526)(100, 656)(101, 670)(102, 658)(103, 661)(104, 654)(105, 674)(106, 673)(107, 677)(108, 532)(109, 679)(110, 671)(111, 533)(112, 684)(113, 534)(114, 685)(115, 535)(116, 648)(117, 536)(118, 690)(119, 537)(120, 540)(121, 693)(122, 636)(123, 696)(124, 541)(125, 543)(126, 687)(127, 688)(128, 638)(129, 689)(130, 655)(131, 686)(132, 545)(133, 704)(134, 546)(135, 706)(136, 547)(137, 549)(138, 652)(139, 551)(140, 669)(141, 709)(142, 553)(143, 700)(144, 705)(145, 691)(146, 697)(147, 708)(148, 555)(149, 557)(150, 712)(151, 649)(152, 711)(153, 558)(154, 559)(155, 666)(156, 629)(157, 561)(158, 563)(159, 569)(160, 567)(161, 695)(162, 568)(163, 675)(164, 701)(165, 565)(166, 608)(167, 680)(168, 713)(169, 600)(170, 676)(171, 586)(172, 570)(173, 702)(174, 571)(175, 707)(176, 572)(177, 575)(178, 715)(179, 710)(180, 577)(181, 618)(182, 714)(183, 683)(184, 610)(185, 681)(186, 604)(187, 579)(188, 581)(189, 718)(190, 703)(191, 616)(192, 582)(193, 583)(194, 617)(195, 719)(196, 637)(197, 720)(198, 587)(199, 641)(200, 589)(201, 627)(202, 620)(203, 623)(204, 614)(205, 634)(206, 663)(207, 595)(208, 596)(209, 635)(210, 628)(211, 598)(212, 630)(213, 716)(214, 643)(215, 615)(216, 645)(217, 603)(218, 717)(219, 605)(220, 612)(221, 626)(222, 698)(223, 657)(224, 632)(225, 613)(226, 647)(227, 667)(228, 619)(229, 665)(230, 668)(231, 622)(232, 633)(233, 699)(234, 653)(235, 682)(236, 692)(237, 660)(238, 672)(239, 678)(240, 694)(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, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1698
Graph:: simple bipartite
	v = 288 e = 480 f = 150
	degree seq :: [ 2^240, 10^48 ]

E22.1700 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 6})
Quotient :: edge
Aut^+ = A4 x (C7 : C3) (small group id <252, 27>)
Aut   = A4 x (C7 : C3) (small group id <252, 27>)
|r| :: 1
Presentation :: [ X1^3, X2^6, (X2 * X1)^3, (X2 * X1^-1 * X2)^3, (X2^-2 * X1)^3, X2 * X1^-1 * X2^-3 * X1^-1 * X2 * X1 * X2^-2 * X1, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1, (X2 * X1^-1 * X2^-1 * X1^-1)^3, X2 * X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2 * X1^-1 * X2 * 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, 40, 42)(21, 48, 49)(23, 51, 52)(25, 56, 57)(27, 60, 62)(28, 63, 54)(30, 66, 68)(33, 73, 74)(34, 75, 77)(35, 78, 79)(36, 81, 83)(39, 87, 88)(41, 92, 93)(43, 96, 98)(44, 99, 90)(45, 101, 103)(46, 104, 105)(47, 107, 109)(50, 112, 114)(53, 118, 119)(55, 121, 122)(58, 128, 129)(59, 130, 124)(61, 133, 80)(64, 139, 140)(65, 141, 142)(67, 146, 147)(69, 149, 151)(70, 152, 144)(71, 154, 156)(72, 157, 158)(76, 163, 165)(82, 172, 173)(84, 127, 177)(85, 178, 179)(86, 180, 182)(89, 186, 187)(91, 132, 189)(94, 194, 195)(95, 196, 191)(97, 199, 106)(100, 203, 204)(102, 117, 207)(108, 213, 126)(110, 193, 164)(111, 215, 217)(113, 219, 192)(115, 221, 174)(116, 184, 223)(120, 214, 183)(123, 181, 226)(125, 228, 143)(131, 229, 230)(134, 233, 148)(135, 190, 216)(136, 201, 231)(137, 208, 235)(138, 153, 236)(145, 198, 238)(150, 239, 159)(155, 185, 224)(160, 227, 206)(161, 244, 167)(162, 209, 246)(166, 234, 240)(168, 232, 241)(169, 197, 247)(170, 248, 218)(171, 211, 222)(175, 249, 205)(176, 250, 210)(188, 220, 237)(200, 225, 245)(202, 242, 252)(212, 243, 251)(253, 255, 261, 277, 267, 257)(254, 258, 269, 293, 273, 259)(256, 263, 282, 319, 285, 264)(260, 274, 302, 365, 305, 275)(262, 279, 313, 386, 316, 280)(265, 286, 328, 416, 332, 287)(266, 288, 334, 341, 291, 268)(270, 295, 349, 382, 352, 296)(271, 297, 354, 458, 358, 298)(272, 299, 360, 395, 317, 281)(276, 306, 372, 439, 375, 307)(278, 310, 300, 362, 383, 311)(283, 321, 402, 448, 405, 322)(284, 323, 407, 429, 411, 324)(289, 336, 428, 400, 320, 337)(290, 338, 433, 471, 414, 327)(292, 342, 440, 480, 442, 343)(294, 346, 325, 412, 449, 347)(301, 363, 468, 424, 457, 353)(303, 367, 474, 502, 476, 368)(304, 369, 432, 431, 384, 312)(308, 376, 479, 399, 425, 377)(309, 378, 370, 344, 443, 379)(314, 387, 486, 498, 451, 388)(315, 389, 419, 329, 418, 390)(318, 396, 473, 371, 477, 397)(326, 413, 497, 465, 493, 406)(330, 420, 361, 466, 488, 421)(331, 422, 380, 374, 423, 333)(335, 426, 455, 482, 409, 427)(339, 435, 503, 481, 417, 436)(340, 437, 467, 381, 450, 348)(345, 444, 438, 398, 485, 445)(350, 452, 487, 501, 491, 453)(351, 454, 434, 355, 460, 392)(356, 461, 366, 472, 391, 462)(357, 463, 446, 441, 464, 359)(364, 410, 495, 430, 490, 470)(373, 401, 394, 415, 496, 447)(385, 483, 403, 478, 504, 484)(393, 489, 500, 499, 459, 475)(404, 492, 469, 408, 494, 456)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 6^3 ), ( 6^6 ) }
Outer automorphisms :: chiral
Dual of E22.1701
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 252 f = 84
	degree seq :: [ 3^84, 6^42 ]

E22.1701 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 6})
Quotient :: loop
Aut^+ = A4 x (C7 : C3) (small group id <252, 27>)
Aut   = A4 x (C7 : C3) (small group id <252, 27>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X2 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, (X2^-1 * X1 * X2^-1 * X1^-1)^3, (X1 * X2 * X1 * X2^-1)^3, X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1, (X2^-1 * X1^-1)^6, X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 253, 2, 254, 4, 256)(3, 255, 8, 260, 9, 261)(5, 257, 12, 264, 13, 265)(6, 258, 14, 266, 15, 267)(7, 259, 16, 268, 17, 269)(10, 262, 22, 274, 23, 275)(11, 263, 24, 276, 25, 277)(18, 270, 38, 290, 39, 291)(19, 271, 40, 292, 41, 293)(20, 272, 42, 294, 43, 295)(21, 273, 44, 296, 45, 297)(26, 278, 54, 306, 55, 307)(27, 279, 56, 308, 57, 309)(28, 280, 58, 310, 59, 311)(29, 281, 60, 312, 61, 313)(30, 282, 62, 314, 63, 315)(31, 283, 64, 316, 65, 317)(32, 284, 66, 318, 67, 319)(33, 285, 68, 320, 69, 321)(34, 286, 70, 322, 71, 323)(35, 287, 72, 324, 73, 325)(36, 288, 74, 326, 75, 327)(37, 289, 76, 328, 77, 329)(46, 298, 94, 346, 95, 347)(47, 299, 96, 348, 97, 349)(48, 300, 98, 350, 99, 351)(49, 301, 100, 352, 101, 353)(50, 302, 102, 354, 103, 355)(51, 303, 104, 356, 105, 357)(52, 304, 106, 358, 107, 359)(53, 305, 108, 360, 109, 361)(78, 330, 158, 410, 159, 411)(79, 331, 160, 412, 161, 413)(80, 332, 155, 407, 162, 414)(81, 333, 132, 384, 163, 415)(82, 334, 164, 416, 135, 387)(83, 335, 165, 417, 151, 403)(84, 336, 166, 418, 167, 419)(85, 337, 145, 397, 168, 420)(86, 338, 169, 421, 170, 422)(87, 339, 171, 423, 140, 392)(88, 340, 172, 424, 173, 425)(89, 341, 174, 426, 175, 427)(90, 342, 176, 428, 137, 389)(91, 343, 177, 429, 153, 405)(92, 344, 178, 430, 130, 382)(93, 345, 179, 431, 180, 432)(110, 362, 205, 457, 206, 458)(111, 363, 201, 453, 139, 391)(112, 364, 144, 396, 193, 445)(113, 365, 207, 459, 186, 438)(114, 366, 208, 460, 154, 406)(115, 367, 209, 461, 210, 462)(116, 368, 148, 400, 197, 449)(117, 369, 134, 386, 211, 463)(118, 370, 212, 464, 152, 404)(119, 371, 184, 436, 213, 465)(120, 372, 198, 450, 214, 466)(121, 373, 190, 442, 143, 395)(122, 374, 195, 447, 215, 467)(123, 375, 216, 468, 183, 435)(124, 376, 217, 469, 218, 470)(125, 377, 219, 471, 126, 378)(127, 379, 220, 472, 221, 473)(128, 380, 203, 455, 222, 474)(129, 381, 185, 437, 223, 475)(131, 383, 224, 476, 199, 451)(133, 385, 194, 446, 225, 477)(136, 388, 226, 478, 227, 479)(138, 390, 228, 480, 189, 441)(141, 393, 229, 481, 230, 482)(142, 394, 231, 483, 232, 484)(146, 398, 233, 485, 202, 454)(147, 399, 234, 486, 235, 487)(149, 401, 187, 439, 236, 488)(150, 402, 237, 489, 200, 452)(156, 408, 238, 490, 239, 491)(157, 409, 240, 492, 181, 433)(182, 434, 245, 497, 243, 495)(188, 440, 246, 498, 242, 494)(191, 443, 247, 499, 248, 500)(192, 444, 249, 501, 250, 502)(196, 448, 244, 496, 241, 493)(204, 456, 251, 503, 252, 504)
	L = (1, 255)(2, 258)(3, 257)(4, 262)(5, 253)(6, 259)(7, 254)(8, 270)(9, 272)(10, 263)(11, 256)(12, 278)(13, 280)(14, 282)(15, 284)(16, 286)(17, 288)(18, 271)(19, 260)(20, 273)(21, 261)(22, 298)(23, 300)(24, 302)(25, 304)(26, 279)(27, 264)(28, 281)(29, 265)(30, 283)(31, 266)(32, 285)(33, 267)(34, 287)(35, 268)(36, 289)(37, 269)(38, 330)(39, 332)(40, 334)(41, 336)(42, 338)(43, 340)(44, 342)(45, 344)(46, 299)(47, 274)(48, 301)(49, 275)(50, 303)(51, 276)(52, 305)(53, 277)(54, 362)(55, 364)(56, 366)(57, 368)(58, 370)(59, 372)(60, 374)(61, 376)(62, 378)(63, 380)(64, 382)(65, 384)(66, 386)(67, 388)(68, 390)(69, 392)(70, 394)(71, 396)(72, 398)(73, 400)(74, 402)(75, 404)(76, 406)(77, 408)(78, 331)(79, 290)(80, 333)(81, 291)(82, 335)(83, 292)(84, 337)(85, 293)(86, 339)(87, 294)(88, 341)(89, 295)(90, 343)(91, 296)(92, 345)(93, 297)(94, 433)(95, 435)(96, 423)(97, 437)(98, 439)(99, 440)(100, 426)(101, 416)(102, 444)(103, 445)(104, 447)(105, 449)(106, 450)(107, 452)(108, 454)(109, 456)(110, 363)(111, 306)(112, 365)(113, 307)(114, 367)(115, 308)(116, 369)(117, 309)(118, 371)(119, 310)(120, 373)(121, 311)(122, 375)(123, 312)(124, 377)(125, 313)(126, 379)(127, 314)(128, 381)(129, 315)(130, 383)(131, 316)(132, 385)(133, 317)(134, 387)(135, 318)(136, 389)(137, 319)(138, 391)(139, 320)(140, 393)(141, 321)(142, 395)(143, 322)(144, 397)(145, 323)(146, 399)(147, 324)(148, 401)(149, 325)(150, 403)(151, 326)(152, 405)(153, 327)(154, 407)(155, 328)(156, 409)(157, 329)(158, 361)(159, 483)(160, 470)(161, 459)(162, 480)(163, 465)(164, 443)(165, 493)(166, 476)(167, 347)(168, 494)(169, 472)(170, 357)(171, 436)(172, 489)(173, 495)(174, 442)(175, 460)(176, 485)(177, 354)(178, 350)(179, 496)(180, 492)(181, 434)(182, 346)(183, 419)(184, 348)(185, 438)(186, 349)(187, 430)(188, 441)(189, 351)(190, 352)(191, 353)(192, 429)(193, 446)(194, 355)(195, 448)(196, 356)(197, 422)(198, 451)(199, 358)(200, 453)(201, 359)(202, 455)(203, 360)(204, 410)(205, 432)(206, 499)(207, 479)(208, 474)(209, 502)(210, 418)(211, 497)(212, 503)(213, 487)(214, 490)(215, 414)(216, 428)(217, 424)(218, 488)(219, 501)(220, 491)(221, 420)(222, 427)(223, 417)(224, 462)(225, 425)(226, 466)(227, 413)(228, 467)(229, 461)(230, 411)(231, 482)(232, 431)(233, 468)(234, 458)(235, 415)(236, 412)(237, 469)(238, 478)(239, 421)(240, 457)(241, 475)(242, 473)(243, 477)(244, 484)(245, 504)(246, 464)(247, 486)(248, 471)(249, 500)(250, 481)(251, 498)(252, 463)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E22.1700
Transitivity :: ET+ VT+
Graph:: simple
	v = 84 e = 252 f = 126
	degree seq :: [ 6^84 ]

E22.1702 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ X2^2, X1^6, X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2, (X1^-1 * X2)^6 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 96, 59, 32)(17, 33, 60, 101, 63, 34)(21, 40, 71, 115, 73, 41)(22, 42, 74, 118, 77, 43)(26, 50, 86, 134, 88, 51)(27, 52, 30, 56, 91, 53)(35, 64, 105, 159, 107, 65)(37, 67, 109, 142, 92, 54)(38, 68, 111, 165, 113, 69)(45, 80, 125, 182, 127, 81)(46, 82, 49, 85, 130, 83)(55, 93, 143, 201, 146, 94)(58, 98, 151, 175, 129, 99)(61, 102, 154, 210, 152, 100)(62, 103, 156, 177, 136, 87)(70, 75, 120, 174, 169, 114)(72, 116, 119, 173, 171, 117)(76, 121, 79, 124, 178, 122)(84, 131, 188, 237, 191, 132)(89, 138, 97, 150, 196, 137)(90, 139, 110, 164, 184, 126)(95, 147, 204, 228, 205, 148)(104, 144, 194, 225, 215, 158)(106, 160, 202, 226, 217, 161)(108, 162, 218, 241, 198, 163)(112, 166, 216, 244, 200, 141)(123, 179, 155, 212, 230, 180)(128, 186, 135, 195, 234, 185)(133, 192, 238, 222, 239, 193)(140, 189, 232, 203, 145, 199)(149, 181, 231, 219, 167, 206)(153, 190, 236, 187, 229, 211)(157, 213, 170, 221, 235, 209)(168, 176, 227, 183, 233, 220)(172, 223, 197, 242, 208, 224)(207, 240, 249, 248, 252, 246)(214, 243, 250, 245, 251, 247)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 47)(33, 61)(34, 62)(36, 60)(39, 70)(40, 64)(41, 72)(42, 75)(43, 76)(44, 79)(48, 84)(50, 87)(51, 77)(52, 89)(53, 90)(56, 95)(57, 97)(59, 100)(63, 104)(65, 106)(66, 108)(67, 110)(68, 112)(69, 98)(71, 111)(73, 81)(74, 119)(78, 123)(80, 126)(82, 128)(83, 129)(85, 133)(86, 135)(88, 137)(91, 140)(92, 141)(93, 144)(94, 145)(96, 149)(99, 146)(101, 153)(102, 155)(103, 157)(105, 156)(107, 148)(109, 154)(113, 167)(114, 168)(115, 170)(116, 160)(117, 164)(118, 172)(120, 175)(121, 176)(122, 177)(124, 181)(125, 183)(127, 185)(130, 187)(131, 189)(132, 190)(134, 194)(136, 191)(138, 197)(139, 198)(142, 193)(143, 202)(147, 180)(150, 207)(151, 208)(152, 209)(158, 214)(159, 216)(161, 212)(162, 206)(163, 215)(165, 203)(166, 188)(169, 211)(171, 222)(173, 225)(174, 226)(178, 228)(179, 229)(182, 232)(184, 230)(186, 235)(192, 224)(195, 240)(196, 241)(199, 243)(200, 242)(201, 234)(204, 245)(205, 223)(210, 246)(213, 231)(217, 248)(218, 227)(219, 247)(220, 237)(221, 239)(233, 249)(236, 250)(238, 251)(244, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1703 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X1^-1 * X2)^6, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, X2 * X1^-3 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^-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, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 109, 61, 32)(17, 33, 62, 114, 65, 34)(21, 40, 75, 132, 78, 41)(22, 42, 79, 139, 82, 43)(26, 50, 93, 165, 96, 51)(27, 52, 97, 168, 100, 53)(30, 56, 105, 140, 108, 57)(35, 66, 119, 145, 122, 67)(37, 70, 126, 197, 127, 71)(38, 72, 128, 198, 129, 73)(45, 85, 149, 215, 152, 86)(46, 87, 153, 218, 156, 88)(49, 91, 161, 133, 164, 92)(54, 101, 171, 138, 174, 102)(55, 103, 146, 212, 177, 104)(59, 111, 184, 205, 155, 98)(60, 95, 151, 206, 185, 112)(63, 116, 189, 209, 150, 99)(64, 117, 190, 210, 154, 94)(69, 124, 148, 84, 147, 125)(74, 130, 158, 89, 157, 131)(76, 134, 199, 240, 200, 135)(77, 136, 201, 241, 202, 137)(80, 141, 204, 242, 207, 142)(81, 143, 208, 245, 211, 144)(90, 159, 203, 196, 123, 160)(106, 179, 225, 247, 221, 169)(107, 180, 230, 246, 213, 167)(110, 173, 216, 192, 236, 183)(113, 186, 237, 195, 219, 162)(115, 188, 233, 178, 220, 172)(118, 191, 234, 181, 217, 163)(120, 193, 226, 244, 214, 170)(121, 166, 222, 243, 229, 194)(175, 227, 251, 239, 252, 228)(176, 231, 250, 223, 249, 232)(182, 235, 248, 238, 187, 224)
	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, 110)(61, 113)(62, 115)(65, 118)(66, 120)(67, 121)(68, 123)(70, 116)(71, 112)(72, 117)(73, 111)(75, 133)(78, 138)(79, 140)(82, 145)(83, 146)(85, 150)(86, 151)(87, 154)(88, 155)(91, 162)(92, 163)(93, 166)(96, 167)(97, 169)(100, 170)(101, 172)(102, 173)(103, 175)(104, 176)(105, 178)(108, 181)(109, 182)(114, 187)(119, 192)(122, 195)(124, 188)(125, 186)(126, 194)(127, 179)(128, 193)(129, 180)(130, 191)(131, 183)(132, 177)(134, 190)(135, 185)(136, 184)(137, 189)(139, 203)(141, 205)(142, 206)(143, 209)(144, 210)(147, 213)(148, 214)(149, 216)(152, 217)(153, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(164, 226)(165, 227)(168, 228)(171, 229)(174, 230)(196, 239)(197, 231)(198, 232)(199, 236)(200, 233)(201, 234)(202, 237)(204, 243)(207, 244)(208, 246)(211, 247)(212, 248)(215, 249)(218, 250)(235, 245)(238, 242)(240, 252)(241, 251)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1704 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X1 * X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^2, (X2 * X1)^6 ]
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, 57)(32, 60)(33, 61)(34, 63)(37, 50)(39, 70)(40, 53)(41, 72)(43, 76)(45, 79)(46, 80)(47, 82)(52, 89)(54, 91)(55, 88)(56, 94)(58, 98)(59, 99)(62, 103)(64, 105)(65, 107)(66, 108)(67, 110)(68, 111)(69, 74)(71, 112)(73, 102)(75, 119)(77, 123)(78, 124)(81, 128)(83, 130)(84, 132)(85, 133)(86, 135)(87, 136)(90, 137)(92, 127)(93, 143)(95, 129)(96, 146)(97, 148)(100, 153)(101, 152)(104, 120)(106, 160)(109, 134)(113, 167)(114, 168)(115, 170)(116, 141)(117, 162)(118, 172)(121, 175)(122, 177)(125, 182)(126, 181)(131, 189)(138, 196)(139, 197)(140, 199)(142, 191)(144, 188)(145, 203)(147, 206)(149, 186)(150, 192)(151, 209)(154, 205)(155, 212)(156, 207)(157, 178)(158, 215)(159, 173)(161, 195)(163, 179)(164, 198)(165, 208)(166, 190)(169, 193)(171, 222)(174, 225)(176, 228)(180, 231)(183, 227)(184, 234)(185, 229)(187, 237)(194, 230)(200, 244)(201, 226)(202, 233)(204, 223)(210, 232)(211, 224)(213, 236)(214, 235)(216, 239)(217, 238)(218, 248)(219, 242)(220, 241)(221, 246)(240, 252)(243, 250)(245, 251)(247, 249)(253, 255, 260, 270, 262, 256)(254, 257, 264, 277, 266, 258)(259, 267, 282, 310, 284, 268)(261, 271, 289, 319, 291, 272)(263, 274, 295, 329, 297, 275)(265, 278, 302, 338, 304, 279)(269, 285, 314, 330, 296, 286)(273, 292, 323, 367, 325, 293)(276, 298, 333, 311, 283, 299)(280, 305, 342, 392, 344, 306)(281, 307, 345, 396, 347, 308)(287, 316, 358, 397, 346, 317)(288, 318, 361, 406, 352, 312)(290, 320, 364, 418, 365, 321)(294, 326, 370, 425, 372, 327)(300, 335, 383, 426, 371, 336)(301, 337, 386, 435, 377, 331)(303, 339, 389, 447, 390, 340)(309, 348, 399, 356, 315, 349)(313, 353, 407, 465, 408, 354)(322, 357, 411, 468, 421, 366)(324, 368, 412, 469, 423, 369)(328, 373, 428, 381, 334, 374)(332, 378, 436, 487, 437, 379)(341, 382, 440, 490, 450, 391)(343, 393, 441, 491, 452, 394)(350, 401, 460, 493, 448, 402)(351, 403, 360, 414, 462, 404)(355, 409, 466, 413, 359, 410)(362, 415, 470, 480, 461, 416)(363, 417, 451, 495, 463, 405)(375, 430, 482, 471, 419, 431)(376, 432, 385, 443, 484, 433)(380, 438, 488, 442, 384, 439)(387, 444, 492, 458, 483, 445)(388, 446, 422, 473, 485, 434)(395, 453, 477, 459, 400, 454)(398, 456, 497, 474, 498, 457)(420, 467, 500, 464, 499, 472)(424, 475, 455, 481, 429, 476)(427, 478, 501, 496, 502, 479)(449, 489, 504, 486, 503, 494)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 252 f = 42
	degree seq :: [ 2^126, 6^42 ]

E22.1705 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ X1^2, X2^6, (X2^-1 * X1)^6, X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1, X2^-2 * X1 * X2^2 * X1 * X2^-3 * X1 * X2^-2 * X1 * X2^-1 ]
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, 57)(32, 61)(33, 62)(34, 64)(37, 70)(39, 74)(40, 75)(41, 77)(43, 81)(45, 85)(46, 86)(47, 88)(50, 94)(52, 98)(53, 99)(54, 101)(55, 97)(56, 83)(58, 107)(59, 80)(60, 93)(63, 114)(65, 118)(66, 119)(67, 121)(68, 92)(69, 84)(71, 127)(72, 96)(73, 79)(76, 134)(78, 138)(82, 143)(87, 150)(89, 154)(90, 155)(91, 157)(95, 163)(100, 170)(102, 174)(103, 172)(104, 153)(105, 147)(106, 167)(108, 149)(109, 169)(110, 162)(111, 141)(112, 160)(113, 144)(115, 156)(116, 165)(117, 140)(120, 151)(122, 171)(123, 173)(124, 148)(125, 161)(126, 146)(128, 168)(129, 152)(130, 166)(131, 142)(132, 164)(133, 145)(135, 158)(136, 139)(137, 159)(175, 219)(176, 211)(177, 227)(178, 231)(179, 207)(180, 220)(181, 230)(182, 215)(183, 204)(184, 217)(185, 216)(186, 228)(187, 210)(188, 213)(189, 212)(190, 229)(191, 203)(192, 208)(193, 232)(194, 224)(195, 226)(196, 222)(197, 239)(198, 223)(199, 205)(200, 214)(201, 218)(202, 209)(206, 242)(221, 243)(225, 250)(233, 249)(234, 248)(235, 252)(236, 251)(237, 245)(238, 244)(240, 247)(241, 246)(253, 255, 260, 270, 262, 256)(254, 257, 264, 277, 266, 258)(259, 267, 282, 310, 284, 268)(261, 271, 289, 323, 291, 272)(263, 274, 295, 334, 297, 275)(265, 278, 302, 347, 304, 279)(269, 285, 315, 367, 317, 286)(273, 292, 328, 387, 330, 293)(276, 298, 339, 403, 341, 299)(280, 305, 352, 423, 354, 306)(281, 307, 355, 427, 356, 308)(283, 311, 360, 432, 361, 312)(287, 318, 372, 445, 374, 319)(288, 320, 375, 448, 376, 321)(290, 324, 380, 450, 381, 325)(294, 331, 391, 455, 392, 332)(296, 335, 396, 460, 397, 336)(300, 342, 408, 473, 410, 343)(301, 344, 411, 476, 412, 345)(303, 348, 416, 478, 417, 349)(309, 357, 428, 386, 429, 358)(313, 362, 433, 390, 434, 363)(314, 364, 435, 485, 436, 365)(316, 368, 439, 486, 440, 369)(322, 377, 438, 366, 437, 378)(326, 382, 442, 370, 441, 383)(327, 384, 451, 492, 452, 385)(329, 388, 453, 493, 454, 389)(333, 393, 456, 422, 457, 394)(337, 398, 461, 426, 462, 399)(338, 400, 463, 496, 464, 401)(340, 404, 467, 497, 468, 405)(346, 413, 466, 402, 465, 414)(350, 418, 470, 406, 469, 419)(351, 420, 479, 503, 480, 421)(353, 424, 481, 504, 482, 425)(359, 430, 484, 449, 379, 431)(371, 443, 487, 502, 488, 444)(373, 446, 489, 494, 490, 447)(395, 458, 495, 477, 415, 459)(407, 471, 498, 491, 499, 472)(409, 474, 500, 483, 501, 475)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 252 f = 42
	degree seq :: [ 2^126, 6^42 ]

E22.1706 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ (X2 * X1)^2, X1^6, X2^6, X2 * X1 * X2^2 * X1 * X2 * X1^2, X1^2 * X2^-1 * X1^-1 * X2^-1 * X1^3, X2 * X1^-3 * X2 * X1^-2 * X2^-2 * X1^-1, X2^-1 * X1^-2 * X2 * X1 * X2^-1 * X1^-2 * X2^-1 * X1, X2 * X1^-1 * X2^-2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, (X2^2 * X1^-2)^3, (X2 * X1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 16, 13, 4)(3, 9, 23, 53, 29, 11)(5, 14, 34, 48, 20, 7)(8, 21, 49, 92, 41, 17)(10, 25, 58, 121, 63, 27)(12, 30, 68, 123, 73, 32)(15, 37, 82, 156, 79, 35)(18, 42, 93, 78, 85, 38)(19, 44, 97, 55, 102, 46)(22, 52, 113, 205, 110, 50)(24, 56, 117, 175, 91, 54)(26, 60, 126, 165, 129, 61)(28, 64, 87, 169, 137, 66)(31, 70, 142, 168, 145, 71)(33, 39, 86, 167, 109, 75)(36, 80, 90, 40, 88, 76)(43, 96, 181, 147, 72, 94)(45, 99, 186, 141, 189, 100)(47, 103, 69, 140, 197, 105)(51, 111, 166, 84, 164, 107)(57, 120, 172, 89, 171, 118)(59, 124, 221, 239, 174, 122)(62, 130, 214, 161, 180, 132)(65, 134, 225, 244, 182, 135)(67, 115, 213, 247, 216, 139)(74, 149, 177, 95, 179, 150)(77, 152, 223, 128, 199, 106)(81, 159, 228, 243, 196, 157)(83, 162, 204, 151, 170, 160)(98, 184, 119, 217, 155, 183)(101, 190, 153, 210, 138, 192)(104, 194, 143, 226, 234, 195)(108, 201, 125, 188, 241, 176)(112, 208, 144, 227, 240, 206)(114, 211, 146, 200, 231, 209)(116, 215, 232, 207, 136, 193)(127, 203, 233, 230, 235, 222)(131, 191, 237, 251, 249, 224)(133, 198, 238, 173, 158, 202)(148, 220, 248, 229, 246, 187)(154, 178, 242, 185, 236, 219)(163, 212, 245, 252, 250, 218)(253, 255, 262, 278, 267, 257)(254, 259, 271, 297, 274, 260)(256, 264, 283, 309, 276, 261)(258, 269, 292, 341, 295, 270)(263, 280, 317, 377, 311, 277)(265, 285, 326, 393, 321, 282)(266, 287, 330, 406, 333, 288)(268, 290, 336, 417, 339, 291)(272, 299, 356, 437, 350, 296)(273, 302, 361, 455, 364, 303)(275, 306, 344, 428, 368, 307)(279, 314, 383, 460, 379, 312)(281, 319, 390, 420, 338, 316)(284, 324, 398, 475, 395, 322)(286, 328, 403, 457, 405, 329)(289, 313, 380, 463, 415, 335)(293, 343, 426, 487, 422, 340)(294, 346, 325, 400, 432, 347)(298, 353, 443, 384, 439, 351)(300, 358, 450, 373, 320, 355)(301, 359, 452, 399, 454, 360)(304, 352, 440, 387, 464, 366)(305, 349, 435, 408, 466, 367)(308, 370, 468, 414, 470, 371)(310, 374, 427, 492, 472, 375)(315, 385, 433, 496, 465, 382)(318, 388, 430, 345, 429, 386)(323, 396, 476, 411, 471, 372)(327, 362, 456, 499, 477, 401)(331, 407, 481, 483, 416, 337)(332, 409, 449, 376, 453, 410)(334, 412, 482, 495, 431, 413)(342, 425, 489, 444, 391, 423)(348, 424, 488, 447, 497, 434)(354, 445, 389, 478, 404, 442)(357, 448, 485, 419, 394, 446)(363, 458, 369, 436, 494, 459)(365, 461, 500, 479, 397, 462)(378, 474, 491, 504, 486, 421)(381, 418, 484, 503, 490, 451)(392, 438, 498, 469, 502, 473)(402, 480, 501, 467, 493, 441)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: chiral
Dual of E22.1707
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 252 f = 126
	degree seq :: [ 6^84 ]

E22.1707 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X1 * X2^-2 * X1 * X2 * X1 * X2^-1 * X1 * X2^2, (X2 * X1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 253, 2, 254)(3, 255, 7, 259)(4, 256, 9, 261)(5, 257, 11, 263)(6, 258, 13, 265)(8, 260, 17, 269)(10, 262, 21, 273)(12, 264, 24, 276)(14, 266, 28, 280)(15, 267, 29, 281)(16, 268, 31, 283)(18, 270, 35, 287)(19, 271, 36, 288)(20, 272, 38, 290)(22, 274, 42, 294)(23, 275, 44, 296)(25, 277, 48, 300)(26, 278, 49, 301)(27, 279, 51, 303)(30, 282, 57, 309)(32, 284, 60, 312)(33, 285, 61, 313)(34, 286, 63, 315)(37, 289, 50, 302)(39, 291, 70, 322)(40, 292, 53, 305)(41, 293, 72, 324)(43, 295, 76, 328)(45, 297, 79, 331)(46, 298, 80, 332)(47, 299, 82, 334)(52, 304, 89, 341)(54, 306, 91, 343)(55, 307, 88, 340)(56, 308, 94, 346)(58, 310, 98, 350)(59, 311, 99, 351)(62, 314, 103, 355)(64, 316, 105, 357)(65, 317, 107, 359)(66, 318, 108, 360)(67, 319, 110, 362)(68, 320, 111, 363)(69, 321, 74, 326)(71, 323, 112, 364)(73, 325, 102, 354)(75, 327, 119, 371)(77, 329, 123, 375)(78, 330, 124, 376)(81, 333, 128, 380)(83, 335, 130, 382)(84, 336, 132, 384)(85, 337, 133, 385)(86, 338, 135, 387)(87, 339, 136, 388)(90, 342, 137, 389)(92, 344, 127, 379)(93, 345, 143, 395)(95, 347, 129, 381)(96, 348, 146, 398)(97, 349, 148, 400)(100, 352, 153, 405)(101, 353, 152, 404)(104, 356, 120, 372)(106, 358, 160, 412)(109, 361, 134, 386)(113, 365, 167, 419)(114, 366, 168, 420)(115, 367, 170, 422)(116, 368, 141, 393)(117, 369, 162, 414)(118, 370, 172, 424)(121, 373, 175, 427)(122, 374, 177, 429)(125, 377, 182, 434)(126, 378, 181, 433)(131, 383, 189, 441)(138, 390, 196, 448)(139, 391, 197, 449)(140, 392, 199, 451)(142, 394, 191, 443)(144, 396, 188, 440)(145, 397, 203, 455)(147, 399, 206, 458)(149, 401, 186, 438)(150, 402, 192, 444)(151, 403, 209, 461)(154, 406, 205, 457)(155, 407, 212, 464)(156, 408, 207, 459)(157, 409, 178, 430)(158, 410, 215, 467)(159, 411, 173, 425)(161, 413, 195, 447)(163, 415, 179, 431)(164, 416, 198, 450)(165, 417, 208, 460)(166, 418, 190, 442)(169, 421, 193, 445)(171, 423, 222, 474)(174, 426, 225, 477)(176, 428, 228, 480)(180, 432, 231, 483)(183, 435, 227, 479)(184, 436, 234, 486)(185, 437, 229, 481)(187, 439, 237, 489)(194, 446, 230, 482)(200, 452, 244, 496)(201, 453, 226, 478)(202, 454, 233, 485)(204, 456, 223, 475)(210, 462, 232, 484)(211, 463, 224, 476)(213, 465, 236, 488)(214, 466, 235, 487)(216, 468, 239, 491)(217, 469, 238, 490)(218, 470, 248, 500)(219, 471, 242, 494)(220, 472, 241, 493)(221, 473, 246, 498)(240, 492, 252, 504)(243, 495, 250, 502)(245, 497, 251, 503)(247, 499, 249, 501)
	L = (1, 255)(2, 257)(3, 260)(4, 253)(5, 264)(6, 254)(7, 267)(8, 270)(9, 271)(10, 256)(11, 274)(12, 277)(13, 278)(14, 258)(15, 282)(16, 259)(17, 285)(18, 262)(19, 289)(20, 261)(21, 292)(22, 295)(23, 263)(24, 298)(25, 266)(26, 302)(27, 265)(28, 305)(29, 307)(30, 310)(31, 299)(32, 268)(33, 314)(34, 269)(35, 316)(36, 318)(37, 319)(38, 320)(39, 272)(40, 323)(41, 273)(42, 326)(43, 329)(44, 286)(45, 275)(46, 333)(47, 276)(48, 335)(49, 337)(50, 338)(51, 339)(52, 279)(53, 342)(54, 280)(55, 345)(56, 281)(57, 348)(58, 284)(59, 283)(60, 288)(61, 353)(62, 330)(63, 349)(64, 358)(65, 287)(66, 361)(67, 291)(68, 364)(69, 290)(70, 357)(71, 367)(72, 368)(73, 293)(74, 370)(75, 294)(76, 373)(77, 297)(78, 296)(79, 301)(80, 378)(81, 311)(82, 374)(83, 383)(84, 300)(85, 386)(86, 304)(87, 389)(88, 303)(89, 382)(90, 392)(91, 393)(92, 306)(93, 396)(94, 317)(95, 308)(96, 399)(97, 309)(98, 401)(99, 403)(100, 312)(101, 407)(102, 313)(103, 409)(104, 315)(105, 411)(106, 397)(107, 410)(108, 414)(109, 406)(110, 415)(111, 417)(112, 418)(113, 321)(114, 322)(115, 325)(116, 412)(117, 324)(118, 425)(119, 336)(120, 327)(121, 428)(122, 328)(123, 430)(124, 432)(125, 331)(126, 436)(127, 332)(128, 438)(129, 334)(130, 440)(131, 426)(132, 439)(133, 443)(134, 435)(135, 444)(136, 446)(137, 447)(138, 340)(139, 341)(140, 344)(141, 441)(142, 343)(143, 453)(144, 347)(145, 346)(146, 456)(147, 356)(148, 454)(149, 460)(150, 350)(151, 360)(152, 351)(153, 363)(154, 352)(155, 465)(156, 354)(157, 466)(158, 355)(159, 468)(160, 469)(161, 359)(162, 462)(163, 470)(164, 362)(165, 451)(166, 365)(167, 431)(168, 467)(169, 366)(170, 473)(171, 369)(172, 475)(173, 372)(174, 371)(175, 478)(176, 381)(177, 476)(178, 482)(179, 375)(180, 385)(181, 376)(182, 388)(183, 377)(184, 487)(185, 379)(186, 488)(187, 380)(188, 490)(189, 491)(190, 384)(191, 484)(192, 492)(193, 387)(194, 422)(195, 390)(196, 402)(197, 489)(198, 391)(199, 495)(200, 394)(201, 477)(202, 395)(203, 481)(204, 497)(205, 398)(206, 483)(207, 400)(208, 493)(209, 416)(210, 404)(211, 405)(212, 499)(213, 408)(214, 413)(215, 500)(216, 421)(217, 423)(218, 480)(219, 419)(220, 420)(221, 485)(222, 498)(223, 455)(224, 424)(225, 459)(226, 501)(227, 427)(228, 461)(229, 429)(230, 471)(231, 445)(232, 433)(233, 434)(234, 503)(235, 437)(236, 442)(237, 504)(238, 450)(239, 452)(240, 458)(241, 448)(242, 449)(243, 463)(244, 502)(245, 474)(246, 457)(247, 472)(248, 464)(249, 496)(250, 479)(251, 494)(252, 486)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E22.1706
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 126 e = 252 f = 84
	degree seq :: [ 4^126 ]

E22.1708 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ (X2 * X1)^2, X1^6, X2^6, X2 * X1 * X2^2 * X1 * X2 * X1^2, X1^2 * X2^-1 * X1^-1 * X2^-1 * X1^3, X2 * X1^-3 * X2 * X1^-2 * X2^-2 * X1^-1, X2^-1 * X1^-2 * X2 * X1 * X2^-1 * X1^-2 * X2^-1 * X1, X2 * X1^-1 * X2^-2 * X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1, (X2^2 * X1^-2)^3, (X2 * X1^-1)^6 ]
Map::
	R = (1, 253, 2, 254, 6, 258, 16, 268, 13, 265, 4, 256)(3, 255, 9, 261, 23, 275, 53, 305, 29, 281, 11, 263)(5, 257, 14, 266, 34, 286, 48, 300, 20, 272, 7, 259)(8, 260, 21, 273, 49, 301, 92, 344, 41, 293, 17, 269)(10, 262, 25, 277, 58, 310, 121, 373, 63, 315, 27, 279)(12, 264, 30, 282, 68, 320, 123, 375, 73, 325, 32, 284)(15, 267, 37, 289, 82, 334, 156, 408, 79, 331, 35, 287)(18, 270, 42, 294, 93, 345, 78, 330, 85, 337, 38, 290)(19, 271, 44, 296, 97, 349, 55, 307, 102, 354, 46, 298)(22, 274, 52, 304, 113, 365, 205, 457, 110, 362, 50, 302)(24, 276, 56, 308, 117, 369, 175, 427, 91, 343, 54, 306)(26, 278, 60, 312, 126, 378, 165, 417, 129, 381, 61, 313)(28, 280, 64, 316, 87, 339, 169, 421, 137, 389, 66, 318)(31, 283, 70, 322, 142, 394, 168, 420, 145, 397, 71, 323)(33, 285, 39, 291, 86, 338, 167, 419, 109, 361, 75, 327)(36, 288, 80, 332, 90, 342, 40, 292, 88, 340, 76, 328)(43, 295, 96, 348, 181, 433, 147, 399, 72, 324, 94, 346)(45, 297, 99, 351, 186, 438, 141, 393, 189, 441, 100, 352)(47, 299, 103, 355, 69, 321, 140, 392, 197, 449, 105, 357)(51, 303, 111, 363, 166, 418, 84, 336, 164, 416, 107, 359)(57, 309, 120, 372, 172, 424, 89, 341, 171, 423, 118, 370)(59, 311, 124, 376, 221, 473, 239, 491, 174, 426, 122, 374)(62, 314, 130, 382, 214, 466, 161, 413, 180, 432, 132, 384)(65, 317, 134, 386, 225, 477, 244, 496, 182, 434, 135, 387)(67, 319, 115, 367, 213, 465, 247, 499, 216, 468, 139, 391)(74, 326, 149, 401, 177, 429, 95, 347, 179, 431, 150, 402)(77, 329, 152, 404, 223, 475, 128, 380, 199, 451, 106, 358)(81, 333, 159, 411, 228, 480, 243, 495, 196, 448, 157, 409)(83, 335, 162, 414, 204, 456, 151, 403, 170, 422, 160, 412)(98, 350, 184, 436, 119, 371, 217, 469, 155, 407, 183, 435)(101, 353, 190, 442, 153, 405, 210, 462, 138, 390, 192, 444)(104, 356, 194, 446, 143, 395, 226, 478, 234, 486, 195, 447)(108, 360, 201, 453, 125, 377, 188, 440, 241, 493, 176, 428)(112, 364, 208, 460, 144, 396, 227, 479, 240, 492, 206, 458)(114, 366, 211, 463, 146, 398, 200, 452, 231, 483, 209, 461)(116, 368, 215, 467, 232, 484, 207, 459, 136, 388, 193, 445)(127, 379, 203, 455, 233, 485, 230, 482, 235, 487, 222, 474)(131, 383, 191, 443, 237, 489, 251, 503, 249, 501, 224, 476)(133, 385, 198, 450, 238, 490, 173, 425, 158, 410, 202, 454)(148, 400, 220, 472, 248, 500, 229, 481, 246, 498, 187, 439)(154, 406, 178, 430, 242, 494, 185, 437, 236, 488, 219, 471)(163, 415, 212, 464, 245, 497, 252, 504, 250, 502, 218, 470)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 278)(11, 280)(12, 283)(13, 285)(14, 287)(15, 257)(16, 290)(17, 292)(18, 258)(19, 297)(20, 299)(21, 302)(22, 260)(23, 306)(24, 261)(25, 263)(26, 267)(27, 314)(28, 317)(29, 319)(30, 265)(31, 309)(32, 324)(33, 326)(34, 328)(35, 330)(36, 266)(37, 313)(38, 336)(39, 268)(40, 341)(41, 343)(42, 346)(43, 270)(44, 272)(45, 274)(46, 353)(47, 356)(48, 358)(49, 359)(50, 361)(51, 273)(52, 352)(53, 349)(54, 344)(55, 275)(56, 370)(57, 276)(58, 374)(59, 277)(60, 279)(61, 380)(62, 383)(63, 385)(64, 281)(65, 377)(66, 388)(67, 390)(68, 355)(69, 282)(70, 284)(71, 396)(72, 398)(73, 400)(74, 393)(75, 362)(76, 403)(77, 286)(78, 406)(79, 407)(80, 409)(81, 288)(82, 412)(83, 289)(84, 417)(85, 331)(86, 316)(87, 291)(88, 293)(89, 295)(90, 425)(91, 426)(92, 428)(93, 429)(94, 325)(95, 294)(96, 424)(97, 435)(98, 296)(99, 298)(100, 440)(101, 443)(102, 445)(103, 300)(104, 437)(105, 448)(106, 450)(107, 452)(108, 301)(109, 455)(110, 456)(111, 458)(112, 303)(113, 461)(114, 304)(115, 305)(116, 307)(117, 436)(118, 468)(119, 308)(120, 323)(121, 320)(122, 427)(123, 310)(124, 453)(125, 311)(126, 474)(127, 312)(128, 463)(129, 418)(130, 315)(131, 460)(132, 439)(133, 433)(134, 318)(135, 464)(136, 430)(137, 478)(138, 420)(139, 423)(140, 438)(141, 321)(142, 446)(143, 322)(144, 476)(145, 462)(146, 475)(147, 454)(148, 432)(149, 327)(150, 480)(151, 457)(152, 442)(153, 329)(154, 333)(155, 481)(156, 466)(157, 449)(158, 332)(159, 471)(160, 482)(161, 334)(162, 470)(163, 335)(164, 337)(165, 339)(166, 484)(167, 394)(168, 338)(169, 378)(170, 340)(171, 342)(172, 488)(173, 489)(174, 487)(175, 492)(176, 368)(177, 386)(178, 345)(179, 413)(180, 347)(181, 496)(182, 348)(183, 408)(184, 494)(185, 350)(186, 498)(187, 351)(188, 387)(189, 402)(190, 354)(191, 384)(192, 391)(193, 389)(194, 357)(195, 497)(196, 485)(197, 376)(198, 373)(199, 381)(200, 399)(201, 410)(202, 360)(203, 364)(204, 499)(205, 405)(206, 369)(207, 363)(208, 379)(209, 500)(210, 365)(211, 415)(212, 366)(213, 382)(214, 367)(215, 493)(216, 414)(217, 502)(218, 371)(219, 372)(220, 375)(221, 392)(222, 491)(223, 395)(224, 411)(225, 401)(226, 404)(227, 397)(228, 501)(229, 483)(230, 495)(231, 416)(232, 503)(233, 419)(234, 421)(235, 422)(236, 447)(237, 444)(238, 451)(239, 504)(240, 472)(241, 441)(242, 459)(243, 431)(244, 465)(245, 434)(246, 469)(247, 477)(248, 479)(249, 467)(250, 473)(251, 490)(252, 486)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 42 e = 252 f = 168
	degree seq :: [ 12^42 ]

E22.1709 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
Aut   = S3 x ((C7 : C3) : C2) (small group id <252, 26>)
|r| :: 1
Presentation :: [ (X1 * X2)^2, X2^6, X1^6, X2^-2 * X1 * X2 * X1 * X2^-3, X2 * X1^-5 * X2 * X1, X2 * X1^-1 * X2^-2 * X1^-2 * X2^3 * X1^-1, X1 * X2^-3 * X1 * X2^-1 * X1^-2 * X2^-2, X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^-3, X1^-1 * X2^-2 * X1 * X2^2 * X1^-1 * X2^-2 * X1^-1, X1 * X2^-1 * X1^2 * X2^-1 * X1 * X2^-1 * X1^2 * X2^-1 * X1^2, X2^2 * X1^-1 * X2^-1 * X1^2 * X2^3 * X1^-3, X2^2 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2 * X1^3, (X2^2 * X1^-2 * X2 * X1^-1)^2, (X2 * X1^-1)^6 ]
Map::
	R = (1, 253, 2, 254, 6, 258, 16, 268, 13, 265, 4, 256)(3, 255, 9, 261, 23, 275, 53, 305, 29, 281, 11, 263)(5, 257, 14, 266, 34, 286, 48, 300, 20, 272, 7, 259)(8, 260, 21, 273, 49, 301, 92, 344, 41, 293, 17, 269)(10, 262, 25, 277, 58, 310, 123, 375, 63, 315, 27, 279)(12, 264, 30, 282, 68, 320, 142, 394, 73, 325, 32, 284)(15, 267, 37, 289, 82, 334, 157, 409, 79, 331, 35, 287)(18, 270, 42, 294, 93, 345, 168, 420, 85, 337, 38, 290)(19, 271, 44, 296, 97, 349, 189, 441, 102, 354, 46, 298)(22, 274, 52, 304, 113, 365, 206, 458, 110, 362, 50, 302)(24, 276, 56, 308, 121, 373, 216, 468, 118, 370, 54, 306)(26, 278, 60, 312, 127, 379, 165, 417, 129, 381, 61, 313)(28, 280, 64, 316, 134, 386, 167, 419, 139, 391, 66, 318)(31, 283, 70, 322, 128, 380, 222, 474, 146, 398, 71, 323)(33, 285, 39, 291, 86, 338, 169, 421, 154, 406, 75, 327)(36, 288, 80, 332, 158, 410, 171, 423, 131, 383, 76, 328)(40, 292, 88, 340, 173, 425, 237, 489, 177, 429, 90, 342)(43, 295, 96, 348, 187, 439, 244, 496, 184, 436, 94, 346)(45, 297, 99, 351, 59, 311, 125, 377, 191, 443, 100, 352)(47, 299, 103, 355, 196, 448, 153, 405, 201, 453, 105, 357)(51, 303, 111, 363, 207, 459, 144, 396, 193, 445, 107, 359)(55, 307, 119, 371, 181, 433, 95, 347, 185, 437, 115, 367)(57, 309, 122, 374, 175, 427, 89, 341, 174, 426, 98, 350)(62, 314, 130, 382, 224, 476, 245, 497, 186, 438, 132, 384)(65, 317, 136, 388, 83, 335, 163, 415, 188, 440, 137, 389)(67, 319, 116, 368, 180, 432, 108, 360, 204, 456, 141, 393)(69, 321, 126, 378, 221, 473, 249, 501, 214, 466, 143, 395)(72, 324, 147, 399, 179, 431, 91, 343, 178, 430, 149, 401)(74, 326, 151, 403, 219, 471, 250, 502, 226, 478, 152, 404)(77, 329, 155, 407, 182, 434, 150, 402, 203, 455, 106, 358)(78, 330, 109, 361, 183, 435, 233, 485, 215, 467, 117, 369)(81, 333, 161, 413, 209, 461, 138, 390, 225, 477, 159, 411)(84, 336, 164, 416, 231, 483, 251, 503, 232, 484, 166, 418)(87, 339, 172, 424, 236, 488, 252, 504, 234, 486, 170, 422)(101, 353, 192, 444, 135, 387, 223, 475, 235, 487, 194, 446)(104, 356, 198, 450, 114, 366, 212, 464, 148, 400, 199, 451)(112, 364, 210, 462, 145, 397, 200, 452, 246, 498, 208, 460)(120, 372, 217, 469, 160, 412, 228, 480, 241, 493, 190, 442)(124, 376, 220, 472, 239, 491, 176, 428, 238, 490, 197, 449)(133, 385, 202, 454, 247, 499, 218, 470, 248, 500, 205, 457)(140, 392, 227, 479, 240, 492, 230, 482, 156, 408, 211, 463)(162, 414, 229, 481, 243, 495, 195, 447, 242, 494, 213, 465)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 278)(11, 280)(12, 283)(13, 285)(14, 287)(15, 257)(16, 290)(17, 292)(18, 258)(19, 297)(20, 299)(21, 302)(22, 260)(23, 306)(24, 261)(25, 263)(26, 267)(27, 314)(28, 317)(29, 319)(30, 265)(31, 309)(32, 324)(33, 326)(34, 328)(35, 330)(36, 266)(37, 313)(38, 336)(39, 268)(40, 341)(41, 343)(42, 346)(43, 270)(44, 272)(45, 274)(46, 353)(47, 356)(48, 358)(49, 359)(50, 361)(51, 273)(52, 352)(53, 367)(54, 369)(55, 275)(56, 350)(57, 276)(58, 351)(59, 277)(60, 279)(61, 340)(62, 383)(63, 385)(64, 281)(65, 378)(66, 390)(67, 392)(68, 395)(69, 282)(70, 284)(71, 397)(72, 400)(73, 402)(74, 377)(75, 405)(76, 384)(77, 286)(78, 370)(79, 364)(80, 411)(81, 288)(82, 388)(83, 289)(84, 417)(85, 419)(86, 422)(87, 291)(88, 293)(89, 295)(90, 428)(91, 335)(92, 432)(93, 433)(94, 435)(95, 294)(96, 427)(97, 426)(98, 296)(99, 298)(100, 416)(101, 445)(102, 447)(103, 300)(104, 308)(105, 452)(106, 454)(107, 446)(108, 301)(109, 331)(110, 438)(111, 460)(112, 303)(113, 450)(114, 304)(115, 462)(116, 305)(117, 466)(118, 333)(119, 442)(120, 307)(121, 451)(122, 323)(123, 449)(124, 310)(125, 321)(126, 311)(127, 322)(128, 312)(129, 418)(130, 315)(131, 475)(132, 458)(133, 439)(134, 444)(135, 316)(136, 318)(137, 448)(138, 478)(139, 420)(140, 474)(141, 421)(142, 459)(143, 467)(144, 320)(145, 437)(146, 463)(147, 325)(148, 424)(149, 480)(150, 481)(151, 327)(152, 461)(153, 440)(154, 456)(155, 482)(156, 329)(157, 465)(158, 469)(159, 425)(160, 332)(161, 468)(162, 334)(163, 431)(164, 337)(165, 339)(166, 412)(167, 366)(168, 407)(169, 410)(170, 485)(171, 338)(172, 379)(173, 381)(174, 342)(175, 403)(176, 371)(177, 492)(178, 344)(179, 382)(180, 494)(181, 491)(182, 345)(183, 362)(184, 487)(185, 497)(186, 347)(187, 415)(188, 348)(189, 493)(190, 349)(191, 404)(192, 354)(193, 376)(194, 496)(195, 488)(196, 490)(197, 355)(198, 357)(199, 401)(200, 398)(201, 406)(202, 375)(203, 394)(204, 500)(205, 360)(206, 408)(207, 413)(208, 483)(209, 363)(210, 409)(211, 365)(212, 386)(213, 368)(214, 372)(215, 486)(216, 499)(217, 501)(218, 373)(219, 374)(220, 396)(221, 389)(222, 387)(223, 380)(224, 399)(225, 391)(226, 414)(227, 393)(228, 484)(229, 502)(230, 489)(231, 443)(232, 470)(233, 436)(234, 472)(235, 423)(236, 464)(237, 477)(238, 429)(239, 504)(240, 473)(241, 430)(242, 441)(243, 434)(244, 457)(245, 471)(246, 453)(247, 455)(248, 503)(249, 479)(250, 476)(251, 498)(252, 495)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 42 e = 252 f = 168
	degree seq :: [ 12^42 ]

E22.1710 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ X2^2, X1^6, X1^2 * X2 * X1^-3 * X2 * X1, (X1^-1 * X2)^6, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 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, 169, 131, 168, 133)(103, 134, 167, 129, 166, 135)(104, 136, 105, 130, 163, 127)(106, 137, 165, 128, 164, 138)(107, 139, 155, 121, 154, 140)(122, 156, 195, 152, 194, 157)(123, 158, 124, 153, 191, 150)(125, 159, 193, 151, 192, 160)(126, 161, 185, 145, 184, 162)(141, 179, 187, 146, 186, 180)(142, 181, 143, 147, 188, 148)(144, 182, 190, 149, 189, 183)(170, 212, 238, 210, 227, 213)(171, 201, 172, 211, 229, 208)(173, 200, 235, 209, 228, 214)(174, 215, 224, 205, 237, 216)(175, 217, 222, 206, 223, 204)(176, 218, 177, 207, 233, 196)(178, 219, 231, 197, 226, 198)(199, 225, 244, 232, 220, 234)(202, 236, 203, 230, 243, 221)(239, 245, 251, 250, 242, 248)(240, 246, 241, 247, 252, 249)
	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, 141)(109, 142)(110, 143)(111, 144)(112, 145)(113, 146)(114, 147)(115, 148)(116, 149)(117, 150)(118, 151)(119, 152)(120, 153)(132, 170)(133, 171)(134, 172)(135, 173)(136, 174)(137, 175)(138, 176)(139, 177)(140, 178)(154, 196)(155, 197)(156, 198)(157, 199)(158, 200)(159, 201)(160, 202)(161, 203)(162, 204)(163, 205)(164, 206)(165, 207)(166, 208)(167, 209)(168, 210)(169, 211)(179, 217)(180, 216)(181, 220)(182, 219)(183, 212)(184, 221)(185, 222)(186, 223)(187, 224)(188, 225)(189, 226)(190, 227)(191, 228)(192, 229)(193, 230)(194, 231)(195, 232)(213, 239)(214, 240)(215, 241)(218, 242)(233, 245)(234, 246)(235, 247)(236, 248)(237, 249)(238, 250)(243, 251)(244, 252)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1711 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X2 * X1^-2 * X2 * X1^-1)^2, (X2 * X1^-1)^6, (X1^4 * X2 * X1^2)^2, (X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1)^2, X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^3 * X2 * X1^-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, 181, 139, 94)(59, 86, 64, 91, 125, 99)(60, 100, 145, 183, 138, 101)(63, 87, 131, 177, 148, 104)(67, 108, 152, 198, 153, 109)(83, 126, 171, 210, 160, 116)(84, 127, 173, 223, 174, 128)(90, 122, 168, 219, 178, 134)(96, 142, 187, 150, 106, 132)(102, 147, 193, 221, 186, 141)(103, 129, 175, 226, 180, 136)(107, 151, 197, 238, 192, 146)(110, 154, 201, 237, 190, 144)(113, 119, 163, 213, 205, 157)(120, 164, 215, 191, 216, 165)(124, 161, 211, 245, 220, 170)(133, 166, 217, 185, 222, 172)(143, 189, 218, 248, 234, 182)(149, 184, 214, 169, 209, 195)(155, 203, 231, 179, 225, 199)(156, 204, 242, 249, 232, 202)(158, 206, 233, 246, 212, 162)(159, 207, 243, 229, 196, 208)(176, 228, 244, 241, 200, 224)(188, 235, 247, 230, 252, 236)(194, 240, 250, 239, 251, 227)
	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, 182)(139, 184)(140, 185)(142, 188)(145, 191)(148, 194)(150, 196)(151, 190)(152, 199)(153, 200)(154, 202)(157, 203)(160, 209)(163, 214)(165, 211)(167, 218)(170, 207)(171, 221)(173, 224)(174, 225)(175, 227)(177, 229)(178, 230)(180, 232)(181, 233)(183, 235)(186, 216)(187, 213)(189, 215)(192, 222)(193, 239)(195, 240)(197, 241)(198, 226)(201, 223)(204, 212)(205, 234)(206, 208)(210, 244)(217, 247)(219, 249)(220, 250)(228, 243)(231, 252)(236, 246)(237, 251)(238, 245)(242, 248)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 42 e = 126 f = 42
	degree seq :: [ 6^42 ]

E22.1712 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X2^6, (X2^-2 * X1 * X2^-1)^2, (X2^-1 * X1)^6, (X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1)^2, X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 25)(19, 35)(20, 36)(22, 37)(23, 39)(26, 43)(27, 44)(30, 47)(32, 50)(33, 51)(34, 52)(38, 59)(40, 62)(41, 63)(42, 64)(45, 68)(46, 70)(48, 74)(49, 75)(53, 80)(54, 81)(55, 82)(56, 57)(58, 84)(60, 88)(61, 89)(65, 94)(66, 95)(67, 96)(69, 97)(71, 93)(72, 100)(73, 101)(76, 105)(77, 106)(78, 107)(79, 85)(83, 112)(86, 115)(87, 116)(90, 120)(91, 121)(92, 122)(98, 129)(99, 130)(102, 134)(103, 135)(104, 136)(108, 141)(109, 142)(110, 143)(111, 144)(113, 147)(114, 148)(117, 152)(118, 153)(119, 154)(123, 159)(124, 160)(125, 161)(126, 162)(127, 163)(128, 164)(131, 168)(132, 169)(133, 170)(137, 175)(138, 176)(139, 177)(140, 178)(145, 184)(146, 185)(149, 189)(150, 190)(151, 191)(155, 196)(156, 197)(157, 198)(158, 199)(165, 204)(166, 208)(167, 192)(171, 188)(172, 213)(173, 214)(174, 201)(179, 200)(180, 195)(181, 220)(182, 203)(183, 186)(187, 224)(193, 229)(194, 230)(202, 236)(205, 235)(206, 237)(207, 225)(209, 223)(210, 240)(211, 241)(212, 232)(215, 231)(216, 228)(217, 238)(218, 234)(219, 221)(222, 243)(226, 246)(227, 247)(233, 244)(239, 248)(242, 245)(249, 252)(250, 251)(253, 255, 260, 270, 262, 256)(254, 257, 264, 277, 266, 258)(259, 267, 282, 273, 284, 268)(261, 271, 286, 269, 285, 272)(263, 274, 290, 280, 292, 275)(265, 278, 294, 276, 293, 279)(281, 297, 321, 302, 323, 298)(283, 300, 325, 299, 324, 301)(287, 305, 329, 303, 328, 306)(288, 307, 331, 304, 330, 308)(289, 309, 335, 314, 337, 310)(291, 312, 339, 311, 338, 313)(295, 317, 343, 315, 342, 318)(296, 319, 345, 316, 344, 320)(322, 350, 380, 349, 379, 351)(326, 354, 384, 352, 383, 355)(327, 356, 332, 353, 385, 357)(333, 360, 390, 358, 389, 361)(334, 362, 392, 359, 391, 363)(336, 365, 398, 364, 397, 366)(340, 369, 402, 367, 401, 370)(341, 371, 346, 368, 403, 372)(347, 375, 408, 373, 407, 376)(348, 377, 410, 374, 409, 378)(381, 417, 458, 415, 457, 418)(382, 419, 386, 416, 459, 420)(387, 423, 462, 421, 461, 424)(388, 425, 464, 422, 463, 426)(393, 431, 468, 427, 467, 432)(394, 433, 395, 428, 469, 429)(396, 434, 471, 430, 470, 435)(399, 438, 474, 436, 473, 439)(400, 440, 404, 437, 475, 441)(405, 444, 478, 442, 477, 445)(406, 446, 480, 443, 479, 447)(411, 452, 484, 448, 483, 453)(412, 454, 413, 449, 485, 450)(414, 455, 487, 451, 486, 456)(460, 490, 501, 489, 472, 491)(465, 494, 466, 492, 502, 493)(476, 496, 503, 495, 488, 497)(481, 500, 482, 498, 504, 499)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 252 f = 42
	degree seq :: [ 2^126, 6^42 ]

E22.1713 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ X1^2, X2^6, (X2^-1 * X1 * X2^-1 * X1 * X2^-1)^2, (X2^-1 * X1)^6, (X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1)^2, X2^2 * X1 * X2^3 * X1 * X2^3 * X1 * X2^-2 * X1 * X2 * X1 * X2^-1 * X1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 35)(19, 36)(20, 38)(22, 42)(23, 44)(25, 48)(26, 49)(27, 51)(30, 54)(32, 60)(33, 52)(34, 62)(37, 68)(39, 46)(40, 71)(41, 43)(45, 79)(47, 81)(50, 87)(53, 90)(55, 74)(56, 85)(57, 94)(58, 95)(59, 89)(61, 99)(63, 103)(64, 97)(65, 105)(66, 75)(67, 107)(69, 111)(70, 78)(72, 113)(73, 109)(76, 116)(77, 117)(80, 121)(82, 125)(83, 119)(84, 127)(86, 129)(88, 133)(91, 135)(92, 131)(93, 124)(96, 139)(98, 132)(100, 143)(101, 144)(102, 115)(104, 147)(106, 150)(108, 152)(110, 120)(112, 156)(114, 158)(118, 161)(122, 165)(123, 166)(126, 169)(128, 172)(130, 174)(134, 178)(136, 180)(137, 177)(138, 182)(140, 186)(141, 187)(142, 184)(145, 191)(146, 185)(148, 194)(149, 195)(151, 197)(153, 200)(154, 202)(155, 159)(157, 199)(160, 208)(162, 212)(163, 213)(164, 210)(167, 217)(168, 211)(170, 220)(171, 221)(173, 223)(175, 226)(176, 228)(179, 225)(181, 233)(183, 234)(188, 218)(189, 235)(190, 237)(192, 214)(193, 231)(196, 222)(198, 224)(201, 227)(203, 241)(204, 230)(205, 219)(206, 240)(207, 243)(209, 244)(215, 245)(216, 247)(229, 251)(232, 250)(236, 248)(238, 246)(239, 252)(242, 249)(253, 255, 260, 270, 262, 256)(254, 257, 264, 277, 266, 258)(259, 267, 282, 309, 284, 268)(261, 271, 289, 321, 291, 272)(263, 274, 295, 328, 297, 275)(265, 278, 302, 340, 304, 279)(269, 285, 313, 352, 315, 286)(273, 292, 324, 366, 325, 293)(276, 298, 332, 374, 334, 299)(280, 305, 343, 388, 344, 306)(281, 307, 290, 322, 345, 308)(283, 310, 348, 392, 349, 311)(287, 316, 356, 400, 358, 317)(288, 318, 357, 401, 360, 319)(294, 326, 303, 341, 367, 327)(296, 329, 370, 414, 371, 330)(300, 335, 378, 422, 380, 336)(301, 337, 379, 423, 382, 338)(312, 350, 393, 440, 394, 351)(314, 353, 397, 364, 323, 354)(320, 361, 405, 453, 406, 362)(331, 372, 415, 466, 416, 373)(333, 375, 419, 386, 342, 376)(339, 383, 427, 479, 428, 384)(346, 381, 425, 476, 433, 389)(347, 385, 429, 481, 435, 390)(355, 398, 444, 491, 445, 399)(359, 403, 450, 459, 411, 368)(363, 407, 455, 461, 412, 369)(365, 402, 448, 469, 457, 409)(377, 420, 470, 501, 471, 421)(387, 424, 474, 443, 483, 431)(391, 436, 467, 417, 460, 437)(395, 434, 463, 413, 462, 441)(396, 438, 487, 496, 490, 442)(404, 451, 488, 439, 485, 452)(408, 456, 472, 499, 492, 447)(410, 458, 494, 503, 480, 449)(418, 464, 497, 486, 500, 468)(426, 477, 498, 465, 495, 478)(430, 482, 446, 489, 502, 473)(432, 484, 504, 493, 454, 475)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 252 f = 42
	degree seq :: [ 2^126, 6^42 ]

E22.1714 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X2^6, X2^6, X1^6, (X2^-1 * X1^2)^2, X1^-1 * X2^-2 * X1^3 * X2^2 * X1^-2, X2 * X1^-1 * X2^-1 * X1 * X2^4 * X1^-1 * X2^-2 * X1^-1 * X2^2, X2^2 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^2 * X1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 13, 4)(3, 9, 23, 35, 18, 11)(5, 14, 31, 36, 20, 7)(8, 21, 12, 29, 38, 17)(10, 25, 51, 64, 48, 27)(15, 34, 43, 65, 61, 32)(19, 40, 71, 59, 33, 42)(22, 46, 69, 57, 78, 44)(24, 49, 28, 39, 70, 47)(26, 53, 90, 102, 87, 54)(30, 45, 68, 37, 66, 58)(41, 73, 113, 95, 110, 74)(50, 85, 105, 67, 104, 83)(52, 88, 55, 82, 125, 86)(56, 84, 124, 81, 108, 94)(60, 97, 117, 76, 63, 99)(62, 100, 109, 72, 111, 75)(77, 118, 152, 107, 80, 120)(79, 121, 96, 103, 147, 106)(89, 133, 172, 123, 171, 131)(91, 135, 92, 130, 181, 134)(93, 132, 180, 129, 174, 138)(98, 142, 156, 112, 158, 143)(101, 146, 164, 141, 193, 144)(114, 160, 115, 155, 210, 159)(116, 157, 209, 154, 145, 163)(119, 166, 199, 148, 201, 167)(122, 170, 206, 165, 221, 168)(126, 149, 202, 150, 128, 176)(127, 177, 139, 153, 207, 173)(136, 188, 232, 179, 231, 186)(137, 187, 225, 185, 233, 189)(140, 169, 205, 151, 200, 192)(161, 217, 244, 208, 243, 215)(162, 216, 183, 214, 190, 218)(175, 219, 197, 204, 240, 212)(178, 230, 239, 203, 241, 229)(182, 227, 242, 226, 184, 224)(191, 211, 194, 228, 195, 213)(196, 223, 238, 220, 198, 222)(234, 245, 251, 249, 237, 248)(235, 246, 252, 250, 236, 247)(253, 255, 262, 278, 267, 257)(254, 259, 271, 293, 274, 260)(256, 264, 282, 302, 276, 261)(258, 269, 289, 319, 291, 270)(263, 280, 308, 341, 304, 277)(265, 283, 311, 347, 309, 281)(266, 284, 312, 350, 314, 285)(268, 287, 316, 354, 317, 288)(272, 295, 328, 364, 324, 292)(273, 296, 329, 371, 331, 297)(275, 299, 333, 375, 334, 300)(279, 307, 345, 388, 343, 305)(286, 306, 344, 389, 353, 315)(290, 321, 359, 400, 355, 318)(294, 327, 368, 413, 366, 325)(298, 326, 367, 414, 374, 332)(301, 335, 378, 427, 379, 336)(303, 338, 381, 431, 382, 339)(310, 348, 392, 430, 380, 337)(313, 342, 386, 437, 393, 349)(320, 358, 403, 455, 401, 356)(322, 357, 402, 456, 405, 360)(323, 361, 406, 460, 407, 362)(330, 365, 411, 466, 417, 370)(340, 383, 434, 473, 435, 384)(346, 391, 443, 486, 436, 385)(351, 396, 448, 489, 446, 394)(352, 395, 447, 459, 449, 397)(363, 408, 463, 429, 464, 409)(369, 416, 472, 497, 465, 410)(372, 420, 476, 500, 474, 418)(373, 419, 475, 445, 477, 421)(376, 425, 480, 501, 479, 423)(377, 424, 478, 422, 470, 426)(387, 438, 487, 493, 457, 439)(390, 442, 462, 496, 488, 440)(398, 441, 452, 399, 451, 450)(404, 458, 494, 503, 490, 453)(412, 467, 498, 483, 432, 468)(415, 471, 428, 481, 499, 469)(433, 484, 502, 482, 444, 485)(454, 491, 504, 495, 461, 492)
	L = (1, 253)(2, 254)(3, 255)(4, 256)(5, 257)(6, 258)(7, 259)(8, 260)(9, 261)(10, 262)(11, 263)(12, 264)(13, 265)(14, 266)(15, 267)(16, 268)(17, 269)(18, 270)(19, 271)(20, 272)(21, 273)(22, 274)(23, 275)(24, 276)(25, 277)(26, 278)(27, 279)(28, 280)(29, 281)(30, 282)(31, 283)(32, 284)(33, 285)(34, 286)(35, 287)(36, 288)(37, 289)(38, 290)(39, 291)(40, 292)(41, 293)(42, 294)(43, 295)(44, 296)(45, 297)(46, 298)(47, 299)(48, 300)(49, 301)(50, 302)(51, 303)(52, 304)(53, 305)(54, 306)(55, 307)(56, 308)(57, 309)(58, 310)(59, 311)(60, 312)(61, 313)(62, 314)(63, 315)(64, 316)(65, 317)(66, 318)(67, 319)(68, 320)(69, 321)(70, 322)(71, 323)(72, 324)(73, 325)(74, 326)(75, 327)(76, 328)(77, 329)(78, 330)(79, 331)(80, 332)(81, 333)(82, 334)(83, 335)(84, 336)(85, 337)(86, 338)(87, 339)(88, 340)(89, 341)(90, 342)(91, 343)(92, 344)(93, 345)(94, 346)(95, 347)(96, 348)(97, 349)(98, 350)(99, 351)(100, 352)(101, 353)(102, 354)(103, 355)(104, 356)(105, 357)(106, 358)(107, 359)(108, 360)(109, 361)(110, 362)(111, 363)(112, 364)(113, 365)(114, 366)(115, 367)(116, 368)(117, 369)(118, 370)(119, 371)(120, 372)(121, 373)(122, 374)(123, 375)(124, 376)(125, 377)(126, 378)(127, 379)(128, 380)(129, 381)(130, 382)(131, 383)(132, 384)(133, 385)(134, 386)(135, 387)(136, 388)(137, 389)(138, 390)(139, 391)(140, 392)(141, 393)(142, 394)(143, 395)(144, 396)(145, 397)(146, 398)(147, 399)(148, 400)(149, 401)(150, 402)(151, 403)(152, 404)(153, 405)(154, 406)(155, 407)(156, 408)(157, 409)(158, 410)(159, 411)(160, 412)(161, 413)(162, 414)(163, 415)(164, 416)(165, 417)(166, 418)(167, 419)(168, 420)(169, 421)(170, 422)(171, 423)(172, 424)(173, 425)(174, 426)(175, 427)(176, 428)(177, 429)(178, 430)(179, 431)(180, 432)(181, 433)(182, 434)(183, 435)(184, 436)(185, 437)(186, 438)(187, 439)(188, 440)(189, 441)(190, 442)(191, 443)(192, 444)(193, 445)(194, 446)(195, 447)(196, 448)(197, 449)(198, 450)(199, 451)(200, 452)(201, 453)(202, 454)(203, 455)(204, 456)(205, 457)(206, 458)(207, 459)(208, 460)(209, 461)(210, 462)(211, 463)(212, 464)(213, 465)(214, 466)(215, 467)(216, 468)(217, 469)(218, 470)(219, 471)(220, 472)(221, 473)(222, 474)(223, 475)(224, 476)(225, 477)(226, 478)(227, 479)(228, 480)(229, 481)(230, 482)(231, 483)(232, 484)(233, 485)(234, 486)(235, 487)(236, 488)(237, 489)(238, 490)(239, 491)(240, 492)(241, 493)(242, 494)(243, 495)(244, 496)(245, 497)(246, 498)(247, 499)(248, 500)(249, 501)(250, 502)(251, 503)(252, 504)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: chiral
Dual of E22.1715
Transitivity :: ET+
Graph:: simple bipartite
	v = 84 e = 252 f = 126
	degree seq :: [ 6^84 ]

E22.1715 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X2^6, (X2^-2 * X1 * X2^-1)^2, (X2^-1 * X1)^6, (X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1)^2, X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 ]
Map:: polytopal non-degenerate
	R = (1, 253, 2, 254)(3, 255, 7, 259)(4, 256, 9, 261)(5, 257, 11, 263)(6, 258, 13, 265)(8, 260, 17, 269)(10, 262, 21, 273)(12, 264, 24, 276)(14, 266, 28, 280)(15, 267, 29, 281)(16, 268, 31, 283)(18, 270, 25, 277)(19, 271, 35, 287)(20, 272, 36, 288)(22, 274, 37, 289)(23, 275, 39, 291)(26, 278, 43, 295)(27, 279, 44, 296)(30, 282, 47, 299)(32, 284, 50, 302)(33, 285, 51, 303)(34, 286, 52, 304)(38, 290, 59, 311)(40, 292, 62, 314)(41, 293, 63, 315)(42, 294, 64, 316)(45, 297, 68, 320)(46, 298, 70, 322)(48, 300, 74, 326)(49, 301, 75, 327)(53, 305, 80, 332)(54, 306, 81, 333)(55, 307, 82, 334)(56, 308, 57, 309)(58, 310, 84, 336)(60, 312, 88, 340)(61, 313, 89, 341)(65, 317, 94, 346)(66, 318, 95, 347)(67, 319, 96, 348)(69, 321, 97, 349)(71, 323, 93, 345)(72, 324, 100, 352)(73, 325, 101, 353)(76, 328, 105, 357)(77, 329, 106, 358)(78, 330, 107, 359)(79, 331, 85, 337)(83, 335, 112, 364)(86, 338, 115, 367)(87, 339, 116, 368)(90, 342, 120, 372)(91, 343, 121, 373)(92, 344, 122, 374)(98, 350, 129, 381)(99, 351, 130, 382)(102, 354, 134, 386)(103, 355, 135, 387)(104, 356, 136, 388)(108, 360, 141, 393)(109, 361, 142, 394)(110, 362, 143, 395)(111, 363, 144, 396)(113, 365, 147, 399)(114, 366, 148, 400)(117, 369, 152, 404)(118, 370, 153, 405)(119, 371, 154, 406)(123, 375, 159, 411)(124, 376, 160, 412)(125, 377, 161, 413)(126, 378, 162, 414)(127, 379, 163, 415)(128, 380, 164, 416)(131, 383, 168, 420)(132, 384, 169, 421)(133, 385, 170, 422)(137, 389, 175, 427)(138, 390, 176, 428)(139, 391, 177, 429)(140, 392, 178, 430)(145, 397, 184, 436)(146, 398, 185, 437)(149, 401, 189, 441)(150, 402, 190, 442)(151, 403, 191, 443)(155, 407, 196, 448)(156, 408, 197, 449)(157, 409, 198, 450)(158, 410, 199, 451)(165, 417, 204, 456)(166, 418, 208, 460)(167, 419, 192, 444)(171, 423, 188, 440)(172, 424, 213, 465)(173, 425, 214, 466)(174, 426, 201, 453)(179, 431, 200, 452)(180, 432, 195, 447)(181, 433, 220, 472)(182, 434, 203, 455)(183, 435, 186, 438)(187, 439, 224, 476)(193, 445, 229, 481)(194, 446, 230, 482)(202, 454, 236, 488)(205, 457, 235, 487)(206, 458, 237, 489)(207, 459, 225, 477)(209, 461, 223, 475)(210, 462, 240, 492)(211, 463, 241, 493)(212, 464, 232, 484)(215, 467, 231, 483)(216, 468, 228, 480)(217, 469, 238, 490)(218, 470, 234, 486)(219, 471, 221, 473)(222, 474, 243, 495)(226, 478, 246, 498)(227, 479, 247, 499)(233, 485, 244, 496)(239, 491, 248, 500)(242, 494, 245, 497)(249, 501, 252, 504)(250, 502, 251, 503)
	L = (1, 255)(2, 257)(3, 260)(4, 253)(5, 264)(6, 254)(7, 267)(8, 270)(9, 271)(10, 256)(11, 274)(12, 277)(13, 278)(14, 258)(15, 282)(16, 259)(17, 285)(18, 262)(19, 286)(20, 261)(21, 284)(22, 290)(23, 263)(24, 293)(25, 266)(26, 294)(27, 265)(28, 292)(29, 297)(30, 273)(31, 300)(32, 268)(33, 272)(34, 269)(35, 305)(36, 307)(37, 309)(38, 280)(39, 312)(40, 275)(41, 279)(42, 276)(43, 317)(44, 319)(45, 321)(46, 281)(47, 324)(48, 325)(49, 283)(50, 323)(51, 328)(52, 330)(53, 329)(54, 287)(55, 331)(56, 288)(57, 335)(58, 289)(59, 338)(60, 339)(61, 291)(62, 337)(63, 342)(64, 344)(65, 343)(66, 295)(67, 345)(68, 296)(69, 302)(70, 350)(71, 298)(72, 301)(73, 299)(74, 354)(75, 356)(76, 306)(77, 303)(78, 308)(79, 304)(80, 353)(81, 360)(82, 362)(83, 314)(84, 365)(85, 310)(86, 313)(87, 311)(88, 369)(89, 371)(90, 318)(91, 315)(92, 320)(93, 316)(94, 368)(95, 375)(96, 377)(97, 379)(98, 380)(99, 322)(100, 383)(101, 385)(102, 384)(103, 326)(104, 332)(105, 327)(106, 389)(107, 391)(108, 390)(109, 333)(110, 392)(111, 334)(112, 397)(113, 398)(114, 336)(115, 401)(116, 403)(117, 402)(118, 340)(119, 346)(120, 341)(121, 407)(122, 409)(123, 408)(124, 347)(125, 410)(126, 348)(127, 351)(128, 349)(129, 417)(130, 419)(131, 355)(132, 352)(133, 357)(134, 416)(135, 423)(136, 425)(137, 361)(138, 358)(139, 363)(140, 359)(141, 431)(142, 433)(143, 428)(144, 434)(145, 366)(146, 364)(147, 438)(148, 440)(149, 370)(150, 367)(151, 372)(152, 437)(153, 444)(154, 446)(155, 376)(156, 373)(157, 378)(158, 374)(159, 452)(160, 454)(161, 449)(162, 455)(163, 457)(164, 459)(165, 458)(166, 381)(167, 386)(168, 382)(169, 461)(170, 463)(171, 462)(172, 387)(173, 464)(174, 388)(175, 467)(176, 469)(177, 394)(178, 470)(179, 468)(180, 393)(181, 395)(182, 471)(183, 396)(184, 473)(185, 475)(186, 474)(187, 399)(188, 404)(189, 400)(190, 477)(191, 479)(192, 478)(193, 405)(194, 480)(195, 406)(196, 483)(197, 485)(198, 412)(199, 486)(200, 484)(201, 411)(202, 413)(203, 487)(204, 414)(205, 418)(206, 415)(207, 420)(208, 490)(209, 424)(210, 421)(211, 426)(212, 422)(213, 494)(214, 492)(215, 432)(216, 427)(217, 429)(218, 435)(219, 430)(220, 491)(221, 439)(222, 436)(223, 441)(224, 496)(225, 445)(226, 442)(227, 447)(228, 443)(229, 500)(230, 498)(231, 453)(232, 448)(233, 450)(234, 456)(235, 451)(236, 497)(237, 472)(238, 501)(239, 460)(240, 502)(241, 465)(242, 466)(243, 488)(244, 503)(245, 476)(246, 504)(247, 481)(248, 482)(249, 489)(250, 493)(251, 495)(252, 499)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E22.1714
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 126 e = 252 f = 84
	degree seq :: [ 4^126 ]

E22.1716 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X2^6, X2^6, X1^6, (X2^-1 * X1^2)^2, X1^-1 * X2^-2 * X1^3 * X2^2 * X1^-2, X2 * X1^-1 * X2^-1 * X1 * X2^4 * X1^-1 * X2^-2 * X1^-1 * X2^2, X2^2 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^2 * X1^-1 * X2^2 * X1 * X2^-1 * X1 ]
Map::
	R = (1, 253, 2, 254, 6, 258, 16, 268, 13, 265, 4, 256)(3, 255, 9, 261, 23, 275, 35, 287, 18, 270, 11, 263)(5, 257, 14, 266, 31, 283, 36, 288, 20, 272, 7, 259)(8, 260, 21, 273, 12, 264, 29, 281, 38, 290, 17, 269)(10, 262, 25, 277, 51, 303, 64, 316, 48, 300, 27, 279)(15, 267, 34, 286, 43, 295, 65, 317, 61, 313, 32, 284)(19, 271, 40, 292, 71, 323, 59, 311, 33, 285, 42, 294)(22, 274, 46, 298, 69, 321, 57, 309, 78, 330, 44, 296)(24, 276, 49, 301, 28, 280, 39, 291, 70, 322, 47, 299)(26, 278, 53, 305, 90, 342, 102, 354, 87, 339, 54, 306)(30, 282, 45, 297, 68, 320, 37, 289, 66, 318, 58, 310)(41, 293, 73, 325, 113, 365, 95, 347, 110, 362, 74, 326)(50, 302, 85, 337, 105, 357, 67, 319, 104, 356, 83, 335)(52, 304, 88, 340, 55, 307, 82, 334, 125, 377, 86, 338)(56, 308, 84, 336, 124, 376, 81, 333, 108, 360, 94, 346)(60, 312, 97, 349, 117, 369, 76, 328, 63, 315, 99, 351)(62, 314, 100, 352, 109, 361, 72, 324, 111, 363, 75, 327)(77, 329, 118, 370, 152, 404, 107, 359, 80, 332, 120, 372)(79, 331, 121, 373, 96, 348, 103, 355, 147, 399, 106, 358)(89, 341, 133, 385, 172, 424, 123, 375, 171, 423, 131, 383)(91, 343, 135, 387, 92, 344, 130, 382, 181, 433, 134, 386)(93, 345, 132, 384, 180, 432, 129, 381, 174, 426, 138, 390)(98, 350, 142, 394, 156, 408, 112, 364, 158, 410, 143, 395)(101, 353, 146, 398, 164, 416, 141, 393, 193, 445, 144, 396)(114, 366, 160, 412, 115, 367, 155, 407, 210, 462, 159, 411)(116, 368, 157, 409, 209, 461, 154, 406, 145, 397, 163, 415)(119, 371, 166, 418, 199, 451, 148, 400, 201, 453, 167, 419)(122, 374, 170, 422, 206, 458, 165, 417, 221, 473, 168, 420)(126, 378, 149, 401, 202, 454, 150, 402, 128, 380, 176, 428)(127, 379, 177, 429, 139, 391, 153, 405, 207, 459, 173, 425)(136, 388, 188, 440, 232, 484, 179, 431, 231, 483, 186, 438)(137, 389, 187, 439, 225, 477, 185, 437, 233, 485, 189, 441)(140, 392, 169, 421, 205, 457, 151, 403, 200, 452, 192, 444)(161, 413, 217, 469, 244, 496, 208, 460, 243, 495, 215, 467)(162, 414, 216, 468, 183, 435, 214, 466, 190, 442, 218, 470)(175, 427, 219, 471, 197, 449, 204, 456, 240, 492, 212, 464)(178, 430, 230, 482, 239, 491, 203, 455, 241, 493, 229, 481)(182, 434, 227, 479, 242, 494, 226, 478, 184, 436, 224, 476)(191, 443, 211, 463, 194, 446, 228, 480, 195, 447, 213, 465)(196, 448, 223, 475, 238, 490, 220, 472, 198, 450, 222, 474)(234, 486, 245, 497, 251, 503, 249, 501, 237, 489, 248, 500)(235, 487, 246, 498, 252, 504, 250, 502, 236, 488, 247, 499)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 278)(11, 280)(12, 282)(13, 283)(14, 284)(15, 257)(16, 287)(17, 289)(18, 258)(19, 293)(20, 295)(21, 296)(22, 260)(23, 299)(24, 261)(25, 263)(26, 267)(27, 307)(28, 308)(29, 265)(30, 302)(31, 311)(32, 312)(33, 266)(34, 306)(35, 316)(36, 268)(37, 319)(38, 321)(39, 270)(40, 272)(41, 274)(42, 327)(43, 328)(44, 329)(45, 273)(46, 326)(47, 333)(48, 275)(49, 335)(50, 276)(51, 338)(52, 277)(53, 279)(54, 344)(55, 345)(56, 341)(57, 281)(58, 348)(59, 347)(60, 350)(61, 342)(62, 285)(63, 286)(64, 354)(65, 288)(66, 290)(67, 291)(68, 358)(69, 359)(70, 357)(71, 361)(72, 292)(73, 294)(74, 367)(75, 368)(76, 364)(77, 371)(78, 365)(79, 297)(80, 298)(81, 375)(82, 300)(83, 378)(84, 301)(85, 310)(86, 381)(87, 303)(88, 383)(89, 304)(90, 386)(91, 305)(92, 389)(93, 388)(94, 391)(95, 309)(96, 392)(97, 313)(98, 314)(99, 396)(100, 395)(101, 315)(102, 317)(103, 318)(104, 320)(105, 402)(106, 403)(107, 400)(108, 322)(109, 406)(110, 323)(111, 408)(112, 324)(113, 411)(114, 325)(115, 414)(116, 413)(117, 416)(118, 330)(119, 331)(120, 420)(121, 419)(122, 332)(123, 334)(124, 425)(125, 424)(126, 427)(127, 336)(128, 337)(129, 431)(130, 339)(131, 434)(132, 340)(133, 346)(134, 437)(135, 438)(136, 343)(137, 353)(138, 442)(139, 443)(140, 430)(141, 349)(142, 351)(143, 447)(144, 448)(145, 352)(146, 441)(147, 451)(148, 355)(149, 356)(150, 456)(151, 455)(152, 458)(153, 360)(154, 460)(155, 362)(156, 463)(157, 363)(158, 369)(159, 466)(160, 467)(161, 366)(162, 374)(163, 471)(164, 472)(165, 370)(166, 372)(167, 475)(168, 476)(169, 373)(170, 470)(171, 376)(172, 478)(173, 480)(174, 377)(175, 379)(176, 481)(177, 464)(178, 380)(179, 382)(180, 468)(181, 484)(182, 473)(183, 384)(184, 385)(185, 393)(186, 487)(187, 387)(188, 390)(189, 452)(190, 462)(191, 486)(192, 485)(193, 477)(194, 394)(195, 459)(196, 489)(197, 397)(198, 398)(199, 450)(200, 399)(201, 404)(202, 491)(203, 401)(204, 405)(205, 439)(206, 494)(207, 449)(208, 407)(209, 492)(210, 496)(211, 429)(212, 409)(213, 410)(214, 417)(215, 498)(216, 412)(217, 415)(218, 426)(219, 428)(220, 497)(221, 435)(222, 418)(223, 445)(224, 500)(225, 421)(226, 422)(227, 423)(228, 501)(229, 499)(230, 444)(231, 432)(232, 502)(233, 433)(234, 436)(235, 493)(236, 440)(237, 446)(238, 453)(239, 504)(240, 454)(241, 457)(242, 503)(243, 461)(244, 488)(245, 465)(246, 483)(247, 469)(248, 474)(249, 479)(250, 482)(251, 490)(252, 495)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 42 e = 252 f = 168
	degree seq :: [ 12^42 ]

E22.1717 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
Aut   = C2 x ((C3 x (C7 : C3)) : C2) (small group id <252, 30>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X2^6, X1^6, (X2 * X1^-1 * X2)^2, X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-2 * X1^-2 * X2 * X1 * X2^-1, X2 * X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^-1 * X1^2 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 * X2 * X1^-2 * X2 * X1^-2 * X2^-2 * X1^-1, X2 * X1^-2 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-2 * X2^-1 * X1 * X2^-1 * X1^-3 ]
Map::
	R = (1, 253, 2, 254, 6, 258, 16, 268, 13, 265, 4, 256)(3, 255, 9, 261, 23, 275, 47, 299, 28, 280, 11, 263)(5, 257, 14, 266, 33, 285, 44, 296, 20, 272, 7, 259)(8, 260, 21, 273, 45, 297, 71, 323, 38, 290, 17, 269)(10, 262, 25, 277, 52, 304, 80, 332, 46, 298, 22, 274)(12, 264, 29, 281, 57, 309, 95, 347, 60, 312, 31, 283)(15, 267, 30, 282, 59, 311, 98, 350, 63, 315, 34, 286)(18, 270, 39, 291, 72, 324, 105, 357, 65, 317, 35, 287)(19, 271, 41, 293, 74, 326, 114, 366, 73, 325, 40, 292)(24, 276, 50, 302, 86, 338, 129, 381, 84, 336, 48, 300)(26, 278, 42, 294, 69, 321, 103, 355, 87, 339, 51, 303)(27, 279, 54, 306, 91, 343, 135, 387, 93, 345, 55, 307)(32, 284, 36, 288, 66, 318, 106, 358, 100, 352, 61, 313)(37, 289, 68, 320, 108, 360, 153, 405, 107, 359, 67, 319)(43, 295, 76, 328, 118, 370, 165, 417, 120, 372, 77, 329)(49, 301, 85, 337, 130, 382, 173, 425, 124, 376, 81, 333)(53, 305, 90, 342, 134, 386, 183, 435, 132, 384, 88, 340)(56, 308, 82, 334, 125, 377, 174, 426, 139, 391, 94, 346)(58, 310, 64, 316, 102, 354, 147, 399, 142, 394, 96, 348)(62, 314, 101, 353, 146, 398, 169, 421, 121, 373, 78, 330)(70, 322, 110, 362, 157, 409, 210, 462, 159, 411, 111, 363)(75, 327, 117, 369, 164, 416, 217, 469, 162, 414, 115, 367)(79, 331, 122, 374, 170, 422, 214, 466, 160, 412, 112, 364)(83, 335, 127, 379, 176, 428, 226, 478, 175, 427, 126, 378)(89, 341, 133, 385, 184, 436, 222, 474, 166, 418, 119, 371)(92, 344, 123, 375, 171, 423, 227, 479, 188, 440, 136, 388)(97, 349, 143, 395, 195, 447, 235, 487, 192, 444, 140, 392)(99, 351, 141, 393, 193, 445, 237, 489, 196, 448, 144, 396)(104, 356, 149, 401, 202, 454, 240, 492, 204, 456, 150, 402)(109, 361, 156, 408, 209, 461, 244, 496, 207, 459, 154, 406)(113, 365, 161, 413, 215, 467, 185, 437, 205, 457, 151, 403)(116, 368, 163, 415, 218, 470, 180, 432, 211, 463, 158, 410)(128, 380, 177, 429, 231, 483, 245, 497, 212, 464, 178, 430)(131, 383, 181, 433, 225, 477, 198, 450, 232, 484, 179, 431)(137, 389, 189, 441, 203, 455, 155, 407, 208, 460, 186, 438)(138, 390, 187, 439, 213, 465, 246, 498, 236, 488, 190, 442)(145, 397, 152, 404, 206, 458, 242, 494, 219, 471, 197, 449)(148, 400, 201, 453, 191, 443, 230, 482, 238, 490, 199, 451)(167, 419, 223, 475, 194, 446, 200, 452, 239, 491, 220, 472)(168, 420, 221, 473, 241, 493, 229, 481, 172, 424, 224, 476)(182, 434, 233, 485, 243, 495, 252, 504, 250, 502, 234, 486)(216, 468, 247, 499, 251, 503, 249, 501, 228, 480, 248, 500)
	L = (1, 255)(2, 259)(3, 262)(4, 264)(5, 253)(6, 269)(7, 271)(8, 254)(9, 256)(10, 278)(11, 279)(12, 282)(13, 284)(14, 286)(15, 257)(16, 287)(17, 289)(18, 258)(19, 294)(20, 295)(21, 298)(22, 260)(23, 300)(24, 261)(25, 263)(26, 267)(27, 266)(28, 308)(29, 265)(30, 303)(31, 301)(32, 302)(33, 307)(34, 305)(35, 316)(36, 268)(37, 321)(38, 322)(39, 325)(40, 270)(41, 272)(42, 274)(43, 273)(44, 330)(45, 329)(46, 327)(47, 333)(48, 335)(49, 275)(50, 339)(51, 276)(52, 340)(53, 277)(54, 280)(55, 341)(56, 342)(57, 348)(58, 281)(59, 283)(60, 351)(61, 349)(62, 285)(63, 344)(64, 355)(65, 356)(66, 359)(67, 288)(68, 290)(69, 292)(70, 291)(71, 364)(72, 363)(73, 361)(74, 367)(75, 293)(76, 296)(77, 368)(78, 369)(79, 297)(80, 371)(81, 375)(82, 299)(83, 311)(84, 380)(85, 312)(86, 313)(87, 310)(88, 314)(89, 304)(90, 315)(91, 388)(92, 306)(93, 390)(94, 389)(95, 392)(96, 383)(97, 309)(98, 378)(99, 379)(100, 397)(101, 384)(102, 317)(103, 319)(104, 318)(105, 403)(106, 402)(107, 400)(108, 406)(109, 320)(110, 323)(111, 407)(112, 408)(113, 324)(114, 410)(115, 331)(116, 326)(117, 332)(118, 418)(119, 328)(120, 420)(121, 419)(122, 414)(123, 350)(124, 424)(125, 427)(126, 334)(127, 336)(128, 337)(129, 431)(130, 430)(131, 338)(132, 434)(133, 345)(134, 346)(135, 438)(136, 437)(137, 343)(138, 353)(139, 443)(140, 429)(141, 347)(142, 446)(143, 352)(144, 432)(145, 433)(146, 442)(147, 451)(148, 354)(149, 357)(150, 452)(151, 453)(152, 358)(153, 455)(154, 365)(155, 360)(156, 366)(157, 463)(158, 362)(159, 465)(160, 464)(161, 459)(162, 468)(163, 372)(164, 373)(165, 472)(166, 471)(167, 370)(168, 374)(169, 477)(170, 476)(171, 376)(172, 377)(173, 470)(174, 481)(175, 480)(176, 396)(177, 381)(178, 466)(179, 393)(180, 382)(181, 394)(182, 385)(183, 467)(184, 486)(185, 386)(186, 485)(187, 387)(188, 454)(189, 391)(190, 487)(191, 457)(192, 488)(193, 484)(194, 395)(195, 475)(196, 461)(197, 474)(198, 398)(199, 404)(200, 399)(201, 405)(202, 441)(203, 401)(204, 493)(205, 440)(206, 490)(207, 495)(208, 411)(209, 412)(210, 497)(211, 448)(212, 409)(213, 413)(214, 428)(215, 439)(216, 415)(217, 494)(218, 500)(219, 416)(220, 499)(221, 417)(222, 447)(223, 421)(224, 425)(225, 449)(226, 422)(227, 501)(228, 423)(229, 492)(230, 426)(231, 444)(232, 502)(233, 435)(234, 450)(235, 436)(236, 445)(237, 498)(238, 503)(239, 456)(240, 479)(241, 458)(242, 473)(243, 460)(244, 489)(245, 504)(246, 462)(247, 469)(248, 478)(249, 482)(250, 483)(251, 491)(252, 496)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 42 e = 252 f = 168
	degree seq :: [ 12^42 ]

E22.1718 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2)^4, (T1^2 * T2 * T1)^3, (T1 * T2 * T1^-1 * T2)^3, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1^2 * T2 * T1^-3)^2 ]
Map:: polyhedral 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, 122, 74, 40, 20)(12, 25, 47, 86, 146, 91, 50, 26)(16, 33, 61, 110, 176, 113, 63, 34)(17, 35, 64, 114, 163, 97, 53, 28)(21, 41, 75, 130, 157, 93, 77, 42)(24, 45, 82, 68, 121, 145, 85, 46)(29, 54, 98, 164, 210, 150, 88, 48)(32, 59, 106, 162, 205, 144, 109, 60)(36, 66, 118, 185, 230, 177, 120, 67)(39, 71, 126, 189, 241, 191, 127, 72)(43, 78, 135, 155, 105, 58, 104, 79)(44, 80, 137, 102, 170, 123, 140, 81)(49, 89, 151, 211, 259, 202, 142, 83)(52, 94, 158, 209, 255, 199, 161, 95)(55, 100, 167, 131, 182, 115, 169, 101)(62, 99, 166, 219, 276, 228, 175, 107)(65, 116, 183, 234, 289, 236, 184, 117)(70, 124, 165, 112, 154, 90, 153, 125)(73, 128, 168, 196, 250, 242, 192, 129)(76, 132, 193, 247, 291, 237, 186, 133)(84, 143, 203, 260, 296, 252, 197, 138)(87, 147, 207, 258, 225, 173, 108, 148)(96, 152, 212, 267, 307, 274, 216, 159)(103, 171, 221, 180, 233, 181, 224, 172)(111, 178, 231, 284, 313, 281, 232, 179)(119, 141, 200, 256, 249, 194, 134, 160)(136, 139, 198, 253, 297, 294, 246, 195)(149, 204, 261, 302, 325, 305, 264, 208)(156, 213, 268, 217, 275, 218, 271, 214)(174, 226, 283, 314, 327, 311, 279, 222)(187, 223, 280, 300, 324, 301, 273, 238)(188, 239, 277, 245, 286, 229, 285, 240)(190, 243, 293, 317, 329, 315, 287, 244)(201, 254, 298, 322, 333, 323, 299, 257)(206, 262, 303, 265, 306, 266, 227, 263)(215, 272, 235, 290, 318, 292, 308, 269)(220, 270, 309, 320, 332, 321, 304, 278)(248, 282, 312, 328, 331, 319, 295, 251)(288, 316, 330, 335, 336, 334, 326, 310)
	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, 107)(60, 108)(61, 111)(63, 112)(64, 115)(66, 119)(67, 116)(69, 123)(72, 117)(74, 86)(75, 131)(77, 134)(78, 136)(79, 132)(80, 138)(81, 139)(82, 141)(85, 144)(88, 149)(89, 152)(91, 155)(92, 156)(94, 159)(95, 160)(97, 162)(98, 165)(100, 168)(101, 166)(104, 173)(105, 174)(106, 151)(109, 167)(110, 177)(113, 180)(114, 181)(118, 153)(120, 186)(121, 187)(122, 188)(124, 184)(125, 161)(126, 190)(127, 169)(128, 148)(129, 178)(130, 145)(133, 179)(135, 185)(137, 196)(140, 199)(142, 201)(143, 204)(146, 206)(147, 208)(150, 209)(154, 212)(157, 215)(158, 203)(163, 217)(164, 218)(170, 220)(171, 222)(172, 223)(175, 227)(176, 229)(182, 232)(183, 235)(189, 242)(191, 245)(192, 246)(193, 248)(194, 243)(195, 244)(197, 251)(198, 254)(200, 257)(202, 258)(205, 261)(207, 253)(210, 265)(211, 266)(213, 269)(214, 270)(216, 273)(219, 277)(221, 267)(224, 281)(225, 282)(226, 263)(228, 284)(230, 287)(231, 283)(233, 288)(234, 274)(236, 271)(237, 290)(238, 272)(239, 278)(240, 262)(241, 292)(247, 256)(249, 252)(250, 295)(255, 298)(259, 300)(260, 301)(264, 304)(268, 302)(275, 310)(276, 305)(279, 299)(280, 312)(285, 315)(286, 316)(289, 317)(291, 311)(293, 309)(294, 314)(296, 320)(297, 321)(303, 322)(306, 326)(307, 323)(308, 319)(313, 328)(318, 330)(324, 334)(325, 331)(327, 335)(329, 333)(332, 336)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1721
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 168 f = 84
	degree seq :: [ 8^42 ]

E22.1719 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T1^8, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-1, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2 ]
Map:: polyhedral 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, 124, 74, 40, 20)(12, 25, 47, 86, 153, 91, 50, 26)(16, 33, 61, 110, 194, 114, 63, 34)(17, 35, 64, 115, 173, 97, 53, 28)(21, 41, 75, 134, 223, 139, 77, 42)(24, 45, 82, 147, 238, 152, 85, 46)(29, 54, 98, 174, 252, 158, 88, 48)(32, 59, 106, 188, 284, 193, 109, 60)(36, 66, 119, 206, 239, 148, 121, 67)(39, 71, 128, 218, 291, 200, 130, 72)(43, 78, 140, 230, 292, 204, 142, 79)(44, 80, 143, 232, 300, 237, 146, 81)(49, 89, 159, 253, 307, 241, 149, 83)(52, 94, 167, 138, 229, 269, 170, 95)(55, 100, 178, 275, 301, 233, 180, 101)(58, 104, 177, 99, 176, 274, 187, 105)(62, 112, 182, 102, 181, 280, 190, 107)(65, 117, 203, 279, 213, 125, 205, 118)(68, 122, 211, 297, 215, 129, 154, 123)(70, 126, 214, 236, 304, 268, 217, 127)(73, 131, 221, 249, 156, 87, 155, 132)(76, 136, 227, 299, 324, 286, 228, 137)(84, 150, 242, 308, 329, 302, 234, 144)(90, 161, 256, 207, 296, 231, 258, 162)(93, 165, 133, 160, 255, 315, 264, 166)(96, 171, 260, 163, 259, 189, 266, 168)(103, 183, 281, 222, 263, 169, 267, 184)(108, 191, 254, 212, 298, 321, 283, 185)(111, 196, 288, 210, 240, 224, 289, 197)(113, 198, 257, 316, 328, 319, 290, 199)(116, 201, 251, 314, 331, 327, 293, 202)(120, 208, 248, 313, 262, 164, 261, 209)(135, 225, 244, 151, 243, 192, 276, 226)(141, 145, 235, 303, 330, 320, 282, 186)(157, 250, 310, 245, 219, 265, 312, 247)(172, 270, 309, 334, 325, 287, 195, 271)(175, 272, 306, 333, 322, 295, 216, 273)(179, 277, 305, 332, 311, 246, 220, 278)(285, 323, 336, 318, 294, 326, 335, 317)
	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, 107)(60, 108)(61, 111)(63, 113)(64, 116)(66, 120)(67, 117)(69, 125)(72, 129)(74, 133)(75, 135)(77, 138)(78, 141)(79, 136)(80, 144)(81, 145)(82, 148)(85, 151)(86, 154)(88, 157)(89, 160)(91, 163)(92, 164)(94, 168)(95, 169)(97, 172)(98, 175)(100, 179)(101, 176)(104, 185)(105, 186)(106, 189)(109, 192)(110, 195)(112, 147)(114, 174)(115, 200)(118, 204)(119, 207)(121, 210)(122, 150)(123, 208)(124, 212)(126, 215)(127, 216)(128, 219)(130, 220)(131, 222)(132, 196)(134, 224)(137, 166)(139, 177)(140, 231)(142, 188)(143, 233)(146, 236)(149, 240)(152, 245)(153, 246)(155, 247)(156, 248)(158, 251)(159, 254)(161, 257)(162, 255)(165, 263)(167, 265)(170, 268)(171, 232)(173, 253)(178, 276)(180, 279)(181, 235)(182, 277)(183, 282)(184, 242)(187, 258)(190, 285)(191, 270)(193, 249)(194, 286)(197, 237)(198, 273)(199, 238)(201, 292)(202, 278)(203, 294)(205, 295)(206, 269)(209, 287)(211, 244)(213, 234)(214, 280)(217, 256)(218, 290)(221, 275)(223, 272)(225, 264)(226, 293)(227, 259)(228, 261)(229, 283)(230, 250)(239, 305)(241, 306)(243, 309)(252, 308)(260, 316)(262, 303)(266, 317)(267, 314)(271, 300)(274, 318)(281, 319)(284, 322)(288, 326)(289, 327)(291, 320)(296, 325)(297, 323)(298, 302)(299, 311)(301, 328)(304, 331)(307, 330)(310, 334)(312, 335)(313, 333)(315, 336)(321, 332)(324, 329)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1720
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 168 f = 84
	degree seq :: [ 8^42 ]

E22.1720 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2)^2, (T1^-1 * T2)^8, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^2 * T2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 114, 70)(43, 71, 117, 72)(45, 74, 122, 75)(46, 76, 125, 77)(47, 78, 128, 79)(52, 86, 141, 87)(60, 98, 161, 99)(61, 100, 164, 101)(63, 103, 169, 104)(64, 105, 172, 106)(66, 108, 149, 109)(67, 110, 144, 111)(68, 112, 143, 113)(73, 120, 142, 121)(81, 132, 203, 133)(82, 134, 206, 135)(84, 137, 209, 138)(85, 139, 212, 140)(89, 145, 215, 146)(90, 147, 217, 148)(92, 150, 220, 151)(93, 152, 223, 153)(95, 155, 136, 156)(96, 157, 131, 158)(97, 159, 130, 160)(102, 167, 129, 168)(107, 175, 214, 154)(115, 183, 251, 184)(116, 185, 253, 186)(118, 188, 257, 189)(119, 190, 170, 191)(123, 195, 208, 196)(124, 197, 262, 198)(126, 200, 263, 201)(127, 202, 230, 162)(163, 213, 274, 231)(165, 233, 246, 179)(166, 234, 221, 235)(171, 193, 250, 182)(173, 239, 267, 205)(174, 240, 275, 216)(176, 241, 272, 211)(177, 242, 276, 243)(178, 244, 277, 245)(180, 207, 199, 247)(181, 248, 194, 249)(187, 255, 192, 256)(204, 224, 278, 266)(210, 270, 219, 271)(218, 273, 283, 227)(222, 237, 286, 229)(225, 279, 268, 280)(226, 281, 269, 282)(228, 284, 238, 285)(232, 289, 236, 290)(252, 265, 319, 306)(254, 293, 298, 308)(258, 291, 314, 261)(259, 312, 329, 295)(260, 300, 330, 313)(264, 317, 297, 318)(287, 294, 303, 296)(288, 307, 326, 309)(292, 301, 331, 315)(299, 310, 320, 305)(302, 328, 316, 322)(304, 321, 311, 332)(323, 324, 327, 325)(333, 334, 336, 335)
	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, 115)(70, 116)(71, 118)(72, 119)(74, 123)(75, 124)(76, 126)(77, 127)(78, 129)(79, 130)(80, 131)(83, 136)(86, 142)(87, 143)(88, 144)(91, 149)(94, 154)(98, 162)(99, 163)(100, 165)(101, 166)(103, 170)(104, 171)(105, 173)(106, 174)(108, 176)(109, 177)(110, 178)(111, 179)(112, 180)(113, 181)(114, 182)(117, 187)(120, 192)(121, 193)(122, 194)(125, 199)(128, 175)(132, 204)(133, 205)(134, 207)(135, 208)(137, 210)(138, 211)(139, 213)(140, 183)(141, 214)(145, 216)(146, 201)(147, 218)(148, 219)(150, 221)(151, 222)(152, 185)(153, 224)(155, 197)(156, 225)(157, 226)(158, 227)(159, 189)(160, 228)(161, 229)(164, 232)(167, 236)(168, 237)(169, 238)(172, 188)(184, 252)(186, 254)(190, 258)(191, 259)(195, 260)(196, 261)(198, 203)(200, 264)(202, 265)(206, 268)(209, 269)(212, 273)(215, 272)(217, 276)(220, 277)(223, 233)(230, 287)(231, 288)(234, 291)(235, 292)(239, 293)(240, 294)(241, 295)(242, 296)(243, 297)(244, 298)(245, 299)(246, 300)(247, 301)(248, 302)(249, 303)(250, 304)(251, 305)(253, 307)(255, 309)(256, 310)(257, 311)(262, 315)(263, 316)(266, 320)(267, 318)(270, 321)(271, 314)(274, 322)(275, 323)(278, 324)(279, 325)(280, 308)(281, 326)(282, 319)(283, 312)(284, 317)(285, 327)(286, 313)(289, 328)(290, 306)(329, 333)(330, 334)(331, 335)(332, 336)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1719
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 84 e = 168 f = 42
	degree seq :: [ 4^84 ]

E22.1721 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1 * T2 * T1)^3, (T2 * T1^-2 * T2 * T1^-1)^3, (T2 * T1^-1)^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^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, 81, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 63, 100, 71)(45, 73, 116, 74)(46, 75, 118, 76)(47, 77, 121, 78)(52, 84, 131, 85)(60, 96, 144, 97)(61, 90, 137, 98)(64, 101, 150, 102)(66, 104, 123, 105)(67, 106, 93, 107)(68, 108, 159, 109)(72, 114, 167, 115)(80, 125, 179, 126)(82, 128, 136, 88)(83, 129, 184, 130)(87, 134, 187, 135)(91, 138, 190, 139)(94, 141, 132, 142)(95, 127, 182, 143)(99, 148, 178, 124)(103, 153, 206, 154)(111, 162, 217, 163)(112, 157, 151, 164)(113, 165, 220, 166)(117, 170, 226, 171)(119, 173, 181, 156)(120, 174, 199, 145)(122, 176, 133, 177)(140, 193, 248, 194)(146, 195, 191, 200)(147, 183, 239, 201)(149, 203, 225, 169)(152, 205, 245, 188)(155, 209, 265, 210)(158, 211, 268, 212)(160, 214, 207, 215)(161, 172, 228, 216)(168, 223, 208, 224)(175, 231, 288, 232)(180, 192, 247, 237)(185, 241, 189, 234)(186, 242, 299, 243)(196, 251, 307, 252)(197, 253, 249, 254)(198, 204, 262, 255)(202, 259, 250, 260)(213, 271, 301, 272)(218, 273, 269, 258)(219, 229, 286, 257)(221, 278, 318, 266)(222, 279, 300, 280)(227, 270, 314, 263)(230, 287, 267, 282)(233, 291, 331, 292)(235, 293, 289, 294)(236, 240, 298, 295)(238, 296, 290, 297)(244, 246, 304, 302)(256, 310, 308, 284)(261, 309, 321, 305)(264, 316, 332, 306)(274, 322, 334, 313)(275, 323, 320, 311)(276, 277, 325, 324)(281, 328, 333, 315)(283, 303, 326, 329)(285, 330, 327, 312)(317, 319, 335, 336)
	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, 80)(49, 74)(50, 82)(51, 83)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(69, 111)(70, 112)(71, 113)(73, 117)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(81, 127)(84, 132)(85, 133)(86, 115)(89, 108)(92, 140)(96, 145)(97, 146)(98, 147)(100, 149)(101, 151)(102, 152)(104, 155)(105, 156)(106, 157)(107, 158)(109, 160)(110, 161)(114, 168)(116, 169)(118, 172)(121, 175)(125, 180)(126, 181)(128, 183)(129, 185)(130, 162)(131, 186)(134, 188)(135, 189)(136, 171)(137, 165)(138, 191)(139, 192)(141, 195)(142, 196)(143, 197)(144, 198)(148, 202)(150, 204)(153, 207)(154, 208)(159, 213)(163, 218)(164, 219)(166, 221)(167, 222)(170, 227)(173, 229)(174, 230)(176, 233)(177, 234)(178, 235)(179, 236)(182, 238)(184, 240)(187, 244)(190, 246)(193, 249)(194, 250)(199, 256)(200, 257)(201, 258)(203, 261)(205, 263)(206, 264)(209, 266)(210, 267)(211, 269)(212, 270)(214, 273)(215, 274)(216, 275)(217, 276)(220, 277)(223, 281)(224, 282)(225, 283)(226, 284)(228, 285)(231, 289)(232, 290)(237, 278)(239, 287)(241, 286)(242, 300)(243, 301)(245, 303)(247, 305)(248, 306)(251, 308)(252, 309)(253, 310)(254, 311)(255, 312)(259, 313)(260, 314)(262, 315)(265, 317)(268, 319)(271, 320)(272, 321)(279, 326)(280, 327)(288, 316)(291, 329)(292, 325)(293, 318)(294, 328)(295, 322)(296, 330)(297, 324)(298, 323)(299, 332)(302, 333)(304, 334)(307, 335)(331, 336)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1718
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 84 e = 168 f = 42
	degree seq :: [ 4^84 ]

E22.1722 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^8, T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 ]
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, 113, 69)(44, 73, 121, 74)(46, 76, 126, 77)(49, 81, 134, 82)(54, 89, 147, 90)(57, 94, 155, 95)(59, 97, 160, 98)(62, 102, 168, 103)(65, 107, 175, 108)(67, 110, 180, 111)(70, 115, 187, 116)(72, 118, 192, 119)(75, 123, 198, 124)(78, 128, 204, 129)(80, 131, 207, 132)(83, 136, 210, 137)(85, 139, 213, 140)(86, 141, 214, 142)(88, 144, 217, 145)(91, 149, 222, 150)(93, 152, 186, 153)(96, 157, 230, 158)(99, 162, 208, 163)(101, 165, 236, 166)(104, 170, 238, 171)(106, 173, 240, 174)(109, 177, 135, 178)(112, 182, 138, 183)(114, 184, 130, 185)(117, 189, 133, 190)(120, 194, 257, 195)(122, 196, 259, 197)(125, 199, 262, 200)(127, 201, 264, 202)(143, 188, 169, 216)(146, 206, 172, 219)(148, 220, 164, 221)(151, 223, 167, 224)(154, 227, 272, 211)(156, 228, 291, 229)(159, 231, 294, 232)(161, 179, 244, 233)(176, 212, 273, 242)(181, 246, 261, 247)(191, 254, 267, 205)(193, 255, 318, 256)(203, 265, 319, 266)(209, 269, 260, 270)(215, 239, 303, 276)(218, 279, 293, 280)(225, 287, 298, 235)(226, 288, 327, 289)(234, 296, 328, 297)(237, 300, 292, 301)(241, 263, 253, 305)(243, 307, 251, 308)(245, 309, 252, 310)(248, 312, 268, 313)(249, 314, 271, 315)(250, 258, 274, 316)(275, 295, 286, 320)(277, 321, 284, 323)(278, 324, 285, 306)(281, 325, 299, 311)(282, 326, 302, 322)(283, 290, 304, 317)(329, 330, 331, 332)(333, 334, 335, 336)(337, 338)(339, 343)(340, 345)(341, 346)(342, 348)(344, 351)(347, 356)(349, 359)(350, 361)(352, 364)(353, 366)(354, 367)(355, 369)(357, 372)(358, 374)(360, 377)(362, 380)(363, 382)(365, 385)(368, 390)(370, 393)(371, 395)(373, 398)(375, 401)(376, 403)(378, 406)(379, 408)(381, 411)(383, 414)(384, 416)(386, 419)(387, 421)(388, 422)(389, 424)(391, 427)(392, 429)(394, 432)(396, 435)(397, 437)(399, 440)(400, 442)(402, 445)(404, 448)(405, 450)(407, 453)(409, 456)(410, 458)(412, 461)(413, 463)(415, 466)(417, 469)(418, 471)(420, 474)(423, 479)(425, 482)(426, 484)(428, 487)(430, 490)(431, 492)(433, 495)(434, 497)(436, 500)(438, 503)(439, 505)(441, 508)(443, 510)(444, 512)(446, 515)(447, 517)(449, 494)(451, 522)(452, 524)(454, 527)(455, 529)(457, 496)(459, 504)(460, 483)(462, 491)(464, 539)(465, 541)(467, 542)(468, 544)(470, 493)(472, 545)(473, 547)(475, 548)(476, 477)(478, 551)(480, 537)(481, 554)(485, 528)(486, 513)(488, 561)(489, 562)(498, 570)(499, 571)(501, 518)(502, 540)(506, 573)(507, 531)(509, 575)(511, 577)(514, 579)(516, 581)(519, 584)(520, 585)(521, 586)(523, 587)(525, 588)(526, 589)(530, 592)(532, 594)(533, 596)(534, 566)(535, 597)(536, 599)(538, 601)(543, 604)(546, 607)(549, 610)(550, 611)(552, 613)(553, 614)(555, 617)(556, 618)(557, 619)(558, 620)(559, 621)(560, 622)(563, 625)(564, 626)(565, 628)(567, 629)(568, 631)(569, 632)(572, 635)(574, 638)(576, 640)(578, 642)(580, 600)(582, 623)(583, 647)(590, 615)(591, 653)(593, 608)(595, 627)(598, 630)(602, 656)(603, 637)(605, 657)(606, 634)(609, 658)(612, 646)(616, 649)(624, 652)(633, 641)(636, 643)(639, 651)(644, 665)(645, 662)(648, 666)(650, 660)(654, 667)(655, 668)(659, 669)(661, 670)(663, 671)(664, 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) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1731
Transitivity :: ET+
Graph:: simple bipartite
	v = 252 e = 336 f = 42
	degree seq :: [ 2^168, 4^84 ]

E22.1723 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1 * T2)^3, (T1 * T2^-2 * T1 * T2^-1)^3, (T2 * T1)^8, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * 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, 66, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 82, 51)(31, 52, 85, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 101, 64)(41, 68, 109, 69)(44, 72, 115, 73)(46, 75, 119, 76)(49, 79, 125, 80)(54, 87, 136, 88)(57, 91, 126, 92)(59, 94, 108, 95)(62, 98, 150, 99)(65, 103, 155, 104)(67, 106, 158, 107)(71, 112, 165, 113)(74, 117, 171, 118)(77, 121, 176, 122)(81, 127, 169, 116)(83, 129, 185, 130)(84, 131, 186, 132)(86, 134, 164, 135)(90, 139, 194, 140)(93, 143, 199, 144)(96, 146, 204, 147)(100, 151, 177, 142)(102, 153, 212, 154)(105, 128, 183, 157)(110, 161, 170, 162)(111, 163, 178, 123)(114, 167, 225, 168)(120, 173, 229, 174)(124, 179, 172, 180)(133, 152, 210, 188)(137, 191, 198, 192)(138, 193, 205, 148)(141, 196, 254, 197)(145, 201, 258, 202)(149, 206, 200, 207)(156, 214, 228, 215)(159, 182, 238, 217)(160, 218, 275, 219)(166, 223, 282, 224)(175, 230, 287, 231)(181, 236, 294, 237)(184, 240, 226, 235)(187, 243, 257, 244)(189, 209, 267, 246)(190, 247, 303, 248)(195, 252, 310, 253)(203, 259, 315, 260)(208, 265, 322, 266)(211, 269, 255, 264)(213, 222, 281, 271)(216, 272, 274, 273)(220, 277, 327, 278)(221, 279, 276, 280)(227, 284, 329, 285)(232, 241, 298, 288)(233, 289, 293, 290)(234, 291, 331, 292)(239, 296, 295, 297)(242, 251, 309, 299)(245, 300, 302, 301)(249, 305, 332, 306)(250, 307, 304, 308)(256, 312, 334, 313)(261, 270, 326, 316)(262, 317, 321, 318)(263, 319, 336, 320)(268, 324, 323, 325)(283, 286, 330, 328)(311, 314, 335, 333)(337, 338)(339, 343)(340, 345)(341, 346)(342, 348)(344, 351)(347, 356)(349, 359)(350, 361)(352, 364)(353, 366)(354, 367)(355, 369)(357, 372)(358, 374)(360, 377)(362, 380)(363, 382)(365, 385)(368, 390)(370, 393)(371, 395)(373, 398)(375, 401)(376, 403)(378, 391)(379, 407)(381, 410)(383, 413)(384, 397)(386, 417)(387, 419)(388, 420)(389, 422)(392, 426)(394, 429)(396, 432)(399, 436)(400, 438)(402, 441)(404, 444)(405, 446)(406, 447)(408, 450)(409, 452)(411, 442)(412, 456)(414, 459)(415, 460)(416, 462)(418, 464)(421, 469)(423, 455)(424, 473)(425, 474)(427, 477)(428, 478)(430, 470)(431, 481)(433, 484)(434, 485)(435, 451)(437, 488)(439, 490)(440, 492)(443, 495)(445, 496)(448, 500)(449, 502)(453, 506)(454, 508)(457, 511)(458, 513)(461, 517)(463, 518)(465, 520)(466, 467)(468, 523)(471, 525)(472, 526)(475, 494)(476, 531)(479, 534)(480, 536)(482, 539)(483, 505)(486, 544)(487, 545)(489, 547)(491, 549)(493, 552)(497, 550)(498, 556)(499, 557)(501, 558)(503, 560)(504, 562)(507, 563)(509, 564)(510, 566)(512, 568)(514, 569)(515, 570)(516, 571)(519, 575)(521, 577)(522, 578)(524, 581)(527, 579)(528, 585)(529, 586)(530, 587)(532, 589)(533, 591)(535, 592)(537, 593)(538, 595)(540, 597)(541, 598)(542, 599)(543, 600)(546, 604)(548, 606)(551, 582)(553, 580)(554, 610)(555, 612)(559, 596)(561, 619)(565, 622)(567, 588)(572, 629)(573, 631)(574, 605)(576, 603)(583, 638)(584, 640)(590, 647)(594, 650)(601, 657)(602, 659)(607, 661)(608, 662)(609, 637)(611, 649)(613, 652)(614, 643)(615, 642)(616, 651)(617, 656)(618, 653)(620, 658)(621, 639)(623, 644)(624, 641)(625, 646)(626, 655)(627, 654)(628, 645)(630, 648)(632, 660)(633, 635)(634, 636)(663, 671)(664, 672)(665, 670)(666, 668)(667, 669)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1730
Transitivity :: ET+
Graph:: simple bipartite
	v = 252 e = 336 f = 42
	degree seq :: [ 2^168, 4^84 ]

E22.1724 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (T1^-1 * T2^-1)^2, (F * T1)^2, T2^8, (T1^-1 * T2^2)^3, T1^-1 * T2^2 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-2 * T2^-3 * T1^-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, 97, 48, 22, 9)(6, 15, 33, 69, 131, 75, 36, 16)(11, 26, 55, 109, 177, 101, 50, 23)(13, 29, 61, 118, 199, 123, 64, 30)(18, 40, 82, 151, 229, 144, 77, 37)(19, 41, 84, 154, 239, 158, 87, 42)(21, 45, 90, 162, 246, 166, 93, 46)(25, 54, 43, 88, 159, 181, 103, 51)(28, 60, 115, 196, 267, 191, 112, 57)(31, 65, 124, 209, 193, 113, 59, 66)(34, 71, 133, 219, 288, 214, 129, 68)(35, 72, 135, 221, 295, 224, 138, 73)(39, 81, 74, 139, 180, 230, 146, 78)(47, 94, 167, 254, 210, 130, 70, 95)(49, 98, 136, 149, 234, 261, 173, 99)(53, 106, 96, 170, 256, 200, 183, 104)(56, 110, 189, 272, 213, 145, 187, 108)(62, 120, 202, 282, 255, 169, 128, 117)(63, 121, 204, 168, 185, 268, 206, 122)(67, 105, 184, 176, 232, 147, 80, 127)(76, 141, 91, 163, 248, 301, 227, 142)(83, 152, 237, 306, 245, 215, 235, 150)(85, 107, 186, 269, 212, 126, 111, 153)(86, 156, 208, 125, 211, 286, 241, 157)(89, 148, 233, 228, 290, 216, 132, 161)(92, 164, 250, 225, 276, 318, 252, 165)(100, 174, 155, 198, 119, 201, 143, 175)(102, 178, 195, 116, 197, 278, 264, 179)(114, 194, 140, 217, 291, 247, 258, 171)(134, 220, 293, 328, 275, 192, 274, 218)(137, 222, 243, 160, 244, 311, 297, 223)(172, 259, 321, 277, 325, 298, 322, 260)(182, 265, 271, 190, 273, 205, 284, 266)(188, 270, 253, 313, 300, 226, 299, 262)(203, 283, 330, 292, 310, 242, 308, 281)(207, 280, 314, 249, 315, 302, 236, 285)(231, 303, 305, 238, 307, 240, 309, 304)(251, 316, 319, 257, 320, 329, 279, 317)(263, 323, 287, 326, 312, 336, 327, 324)(289, 331, 333, 294, 334, 296, 335, 332)(337, 338, 342, 340)(339, 345, 357, 347)(341, 349, 354, 343)(344, 355, 370, 351)(346, 359, 385, 361)(348, 352, 371, 364)(350, 367, 398, 365)(353, 373, 412, 375)(356, 379, 421, 377)(358, 383, 427, 381)(360, 387, 438, 389)(362, 382, 428, 392)(363, 393, 447, 395)(366, 399, 419, 376)(368, 403, 461, 401)(369, 404, 464, 406)(372, 410, 472, 408)(374, 414, 481, 416)(378, 422, 470, 407)(380, 425, 496, 424)(384, 432, 504, 430)(386, 436, 471, 434)(388, 440, 518, 441)(390, 435, 508, 443)(391, 444, 457, 400)(394, 449, 528, 450)(396, 409, 473, 452)(397, 453, 465, 455)(402, 462, 539, 456)(405, 466, 551, 468)(411, 476, 561, 475)(413, 479, 426, 477)(415, 483, 567, 484)(417, 478, 562, 485)(418, 486, 492, 423)(420, 489, 448, 491)(429, 451, 531, 500)(431, 505, 585, 499)(433, 507, 593, 506)(437, 512, 490, 510)(439, 516, 586, 514)(442, 515, 599, 521)(445, 459, 543, 524)(446, 501, 587, 526)(454, 534, 527, 536)(458, 541, 574, 488)(460, 544, 571, 546)(463, 549, 623, 547)(467, 552, 625, 553)(469, 554, 558, 474)(480, 564, 557, 511)(482, 503, 540, 523)(487, 494, 578, 572)(493, 576, 630, 556)(495, 579, 610, 529)(497, 581, 648, 580)(498, 537, 550, 583)(502, 589, 613, 532)(509, 525, 607, 595)(513, 598, 639, 568)(517, 545, 590, 566)(519, 603, 657, 601)(520, 602, 644, 575)(522, 596, 645, 577)(530, 611, 663, 612)(533, 559, 632, 615)(535, 592, 655, 616)(538, 617, 620, 542)(548, 614, 665, 619)(555, 560, 634, 628)(563, 573, 641, 635)(565, 638, 667, 626)(569, 640, 658, 631)(570, 636, 671, 633)(582, 627, 668, 649)(584, 650, 652, 588)(591, 629, 669, 651)(594, 624, 666, 656)(597, 647, 662, 608)(600, 605, 622, 659)(604, 660, 664, 618)(606, 621, 646, 661)(609, 653, 670, 643)(637, 654, 672, 642)
	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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1732
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 336 f = 168
	degree seq :: [ 4^84, 8^42 ]

E22.1725 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, T1^4, (F * T1)^2, T2^8, T1^-2 * T2^2 * T1 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1 * T2^2 * T1^-1)^2, T1 * T2^-3 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-3, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-3 * T1^-1 * T2 * T1^-1 * 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, 132, 75, 36, 16)(11, 26, 55, 110, 186, 102, 50, 23)(13, 29, 61, 120, 211, 124, 64, 30)(18, 40, 82, 155, 243, 147, 77, 37)(19, 41, 84, 158, 256, 162, 87, 42)(21, 45, 91, 168, 264, 173, 94, 46)(25, 54, 108, 195, 286, 190, 104, 51)(28, 60, 117, 207, 298, 201, 113, 57)(31, 65, 125, 218, 309, 221, 127, 66)(34, 71, 135, 231, 304, 212, 130, 68)(35, 72, 137, 185, 280, 236, 140, 73)(39, 81, 153, 251, 292, 247, 149, 78)(43, 88, 163, 261, 301, 208, 165, 89)(47, 95, 174, 269, 307, 271, 176, 96)(49, 99, 180, 143, 228, 276, 182, 100)(53, 107, 194, 138, 234, 290, 192, 105)(56, 111, 63, 123, 215, 293, 196, 109)(59, 116, 205, 181, 275, 299, 203, 114)(62, 122, 214, 306, 227, 133, 209, 119)(67, 106, 193, 291, 223, 129, 222, 128)(70, 134, 229, 294, 325, 313, 226, 131)(74, 141, 237, 318, 326, 254, 239, 142)(76, 144, 178, 97, 177, 272, 240, 145)(80, 152, 167, 92, 170, 266, 249, 150)(83, 156, 86, 161, 259, 310, 252, 154)(85, 160, 258, 274, 179, 115, 204, 157)(90, 151, 250, 295, 199, 112, 198, 166)(93, 171, 267, 285, 300, 206, 118, 172)(101, 183, 277, 255, 159, 257, 279, 184)(103, 187, 164, 262, 329, 334, 282, 188)(121, 213, 289, 297, 200, 296, 303, 210)(126, 220, 311, 336, 321, 253, 202, 217)(136, 232, 139, 235, 317, 328, 315, 230)(146, 241, 319, 278, 233, 316, 320, 242)(148, 244, 238, 216, 305, 335, 322, 245)(169, 265, 331, 312, 224, 302, 330, 263)(175, 260, 327, 333, 281, 197, 225, 268)(189, 283, 246, 323, 270, 308, 219, 284)(191, 287, 273, 332, 314, 324, 248, 288)(337, 338, 342, 340)(339, 345, 357, 347)(341, 349, 354, 343)(344, 355, 370, 351)(346, 359, 385, 361)(348, 352, 371, 364)(350, 367, 398, 365)(353, 373, 412, 375)(356, 379, 421, 377)(358, 383, 428, 381)(360, 387, 439, 389)(362, 382, 429, 392)(363, 393, 448, 395)(366, 399, 419, 376)(368, 403, 462, 401)(369, 404, 465, 406)(372, 410, 474, 408)(374, 414, 484, 416)(378, 422, 472, 407)(380, 426, 500, 424)(384, 433, 511, 431)(386, 437, 517, 435)(388, 441, 527, 442)(390, 436, 497, 423)(391, 445, 496, 425)(394, 450, 538, 451)(396, 409, 475, 454)(397, 455, 544, 457)(400, 452, 535, 459)(402, 453, 542, 458)(405, 467, 561, 469)(411, 479, 574, 477)(413, 482, 531, 480)(415, 486, 584, 487)(417, 481, 571, 476)(418, 490, 570, 478)(420, 493, 590, 495)(427, 503, 557, 505)(430, 470, 559, 507)(432, 471, 566, 506)(434, 515, 609, 513)(438, 521, 614, 519)(440, 525, 499, 523)(443, 524, 567, 512)(444, 498, 596, 514)(446, 501, 545, 533)(447, 508, 568, 492)(449, 536, 630, 534)(456, 546, 638, 548)(460, 552, 516, 541)(461, 553, 539, 555)(463, 488, 581, 543)(464, 489, 572, 556)(466, 560, 587, 558)(468, 563, 650, 564)(473, 530, 607, 569)(483, 504, 599, 577)(485, 582, 573, 580)(491, 575, 540, 589)(494, 591, 632, 537)(502, 565, 509, 598)(510, 604, 562, 606)(518, 601, 645, 595)(520, 602, 651, 611)(522, 617, 647, 616)(526, 621, 654, 619)(528, 625, 608, 623)(529, 624, 585, 615)(532, 628, 648, 594)(547, 640, 618, 641)(549, 637, 653, 576)(550, 636, 622, 578)(551, 631, 652, 643)(554, 644, 649, 646)(579, 657, 665, 600)(583, 629, 605, 659)(586, 660, 642, 656)(588, 661, 633, 626)(592, 634, 658, 663)(593, 662, 603, 627)(597, 620, 635, 664)(610, 667, 612, 668)(613, 655, 666, 639)(669, 671, 670, 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) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1733
Transitivity :: ET+
Graph:: simple bipartite
	v = 126 e = 336 f = 168
	degree seq :: [ 4^84, 8^42 ]

E22.1726 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T1^-1 * T2 * T1 * T2)^3, (T1^2 * T2 * T1)^3, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1^2 * T2 * T1^-3)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 107)(60, 108)(61, 111)(63, 112)(64, 115)(66, 119)(67, 116)(69, 123)(72, 117)(74, 86)(75, 131)(77, 134)(78, 136)(79, 132)(80, 138)(81, 139)(82, 141)(85, 144)(88, 149)(89, 152)(91, 155)(92, 156)(94, 159)(95, 160)(97, 162)(98, 165)(100, 168)(101, 166)(104, 173)(105, 174)(106, 151)(109, 167)(110, 177)(113, 180)(114, 181)(118, 153)(120, 186)(121, 187)(122, 188)(124, 184)(125, 161)(126, 190)(127, 169)(128, 148)(129, 178)(130, 145)(133, 179)(135, 185)(137, 196)(140, 199)(142, 201)(143, 204)(146, 206)(147, 208)(150, 209)(154, 212)(157, 215)(158, 203)(163, 217)(164, 218)(170, 220)(171, 222)(172, 223)(175, 227)(176, 229)(182, 232)(183, 235)(189, 242)(191, 245)(192, 246)(193, 248)(194, 243)(195, 244)(197, 251)(198, 254)(200, 257)(202, 258)(205, 261)(207, 253)(210, 265)(211, 266)(213, 269)(214, 270)(216, 273)(219, 277)(221, 267)(224, 281)(225, 282)(226, 263)(228, 284)(230, 287)(231, 283)(233, 288)(234, 274)(236, 271)(237, 290)(238, 272)(239, 278)(240, 262)(241, 292)(247, 256)(249, 252)(250, 295)(255, 298)(259, 300)(260, 301)(264, 304)(268, 302)(275, 310)(276, 305)(279, 299)(280, 312)(285, 315)(286, 316)(289, 317)(291, 311)(293, 309)(294, 314)(296, 320)(297, 321)(303, 322)(306, 326)(307, 323)(308, 319)(313, 328)(318, 330)(324, 334)(325, 331)(327, 335)(329, 333)(332, 336)(337, 338, 341, 347, 359, 358, 346, 340)(339, 343, 351, 367, 393, 373, 354, 344)(342, 349, 363, 387, 428, 392, 366, 350)(345, 355, 374, 405, 458, 410, 376, 356)(348, 361, 383, 422, 482, 427, 386, 362)(352, 369, 397, 446, 512, 449, 399, 370)(353, 371, 400, 450, 499, 433, 389, 364)(357, 377, 411, 466, 493, 429, 413, 378)(360, 381, 418, 404, 457, 481, 421, 382)(365, 390, 434, 500, 546, 486, 424, 384)(368, 395, 442, 498, 541, 480, 445, 396)(372, 402, 454, 521, 566, 513, 456, 403)(375, 407, 462, 525, 577, 527, 463, 408)(379, 414, 471, 491, 441, 394, 440, 415)(380, 416, 473, 438, 506, 459, 476, 417)(385, 425, 487, 547, 595, 538, 478, 419)(388, 430, 494, 545, 591, 535, 497, 431)(391, 436, 503, 467, 518, 451, 505, 437)(398, 435, 502, 555, 612, 564, 511, 443)(401, 452, 519, 570, 625, 572, 520, 453)(406, 460, 501, 448, 490, 426, 489, 461)(409, 464, 504, 532, 586, 578, 528, 465)(412, 468, 529, 583, 627, 573, 522, 469)(420, 479, 539, 596, 632, 588, 533, 474)(423, 483, 543, 594, 561, 509, 444, 484)(432, 488, 548, 603, 643, 610, 552, 495)(439, 507, 557, 516, 569, 517, 560, 508)(447, 514, 567, 620, 649, 617, 568, 515)(455, 477, 536, 592, 585, 530, 470, 496)(472, 475, 534, 589, 633, 630, 582, 531)(485, 540, 597, 638, 661, 641, 600, 544)(492, 549, 604, 553, 611, 554, 607, 550)(510, 562, 619, 650, 663, 647, 615, 558)(523, 559, 616, 636, 660, 637, 609, 574)(524, 575, 613, 581, 622, 565, 621, 576)(526, 579, 629, 653, 665, 651, 623, 580)(537, 590, 634, 658, 669, 659, 635, 593)(542, 598, 639, 601, 642, 602, 563, 599)(551, 608, 571, 626, 654, 628, 644, 605)(556, 606, 645, 656, 668, 657, 640, 614)(584, 618, 648, 664, 667, 655, 631, 587)(624, 652, 666, 671, 672, 670, 662, 646)
	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) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1729
Transitivity :: ET+
Graph:: simple bipartite
	v = 210 e = 336 f = 84
	degree seq :: [ 2^168, 8^42 ]

E22.1727 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^3, (T2 * T1^2 * T2 * T1^3)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 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, 107)(60, 108)(61, 111)(63, 113)(64, 116)(66, 120)(67, 117)(69, 125)(72, 129)(74, 133)(75, 135)(77, 138)(78, 141)(79, 136)(80, 144)(81, 145)(82, 148)(85, 151)(86, 154)(88, 157)(89, 160)(91, 163)(92, 164)(94, 168)(95, 169)(97, 172)(98, 175)(100, 179)(101, 176)(104, 185)(105, 186)(106, 189)(109, 192)(110, 195)(112, 147)(114, 174)(115, 200)(118, 204)(119, 207)(121, 210)(122, 150)(123, 208)(124, 212)(126, 215)(127, 216)(128, 219)(130, 220)(131, 222)(132, 196)(134, 224)(137, 166)(139, 177)(140, 231)(142, 188)(143, 233)(146, 236)(149, 240)(152, 245)(153, 246)(155, 247)(156, 248)(158, 251)(159, 254)(161, 257)(162, 255)(165, 263)(167, 265)(170, 268)(171, 232)(173, 253)(178, 276)(180, 279)(181, 235)(182, 277)(183, 282)(184, 242)(187, 258)(190, 285)(191, 270)(193, 249)(194, 286)(197, 237)(198, 273)(199, 238)(201, 292)(202, 278)(203, 294)(205, 295)(206, 269)(209, 287)(211, 244)(213, 234)(214, 280)(217, 256)(218, 290)(221, 275)(223, 272)(225, 264)(226, 293)(227, 259)(228, 261)(229, 283)(230, 250)(239, 305)(241, 306)(243, 309)(252, 308)(260, 316)(262, 303)(266, 317)(267, 314)(271, 300)(274, 318)(281, 319)(284, 322)(288, 326)(289, 327)(291, 320)(296, 325)(297, 323)(298, 302)(299, 311)(301, 328)(304, 331)(307, 330)(310, 334)(312, 335)(313, 333)(315, 336)(321, 332)(324, 329)(337, 338, 341, 347, 359, 358, 346, 340)(339, 343, 351, 367, 393, 373, 354, 344)(342, 349, 363, 387, 428, 392, 366, 350)(345, 355, 374, 405, 460, 410, 376, 356)(348, 361, 383, 422, 489, 427, 386, 362)(352, 369, 397, 446, 530, 450, 399, 370)(353, 371, 400, 451, 509, 433, 389, 364)(357, 377, 411, 470, 559, 475, 413, 378)(360, 381, 418, 483, 574, 488, 421, 382)(365, 390, 434, 510, 588, 494, 424, 384)(368, 395, 442, 524, 620, 529, 445, 396)(372, 402, 455, 542, 575, 484, 457, 403)(375, 407, 464, 554, 627, 536, 466, 408)(379, 414, 476, 566, 628, 540, 478, 415)(380, 416, 479, 568, 636, 573, 482, 417)(385, 425, 495, 589, 643, 577, 485, 419)(388, 430, 503, 474, 565, 605, 506, 431)(391, 436, 514, 611, 637, 569, 516, 437)(394, 440, 513, 435, 512, 610, 523, 441)(398, 448, 518, 438, 517, 616, 526, 443)(401, 453, 539, 615, 549, 461, 541, 454)(404, 458, 547, 633, 551, 465, 490, 459)(406, 462, 550, 572, 640, 604, 553, 463)(409, 467, 557, 585, 492, 423, 491, 468)(412, 472, 563, 635, 660, 622, 564, 473)(420, 486, 578, 644, 665, 638, 570, 480)(426, 497, 592, 543, 632, 567, 594, 498)(429, 501, 469, 496, 591, 651, 600, 502)(432, 507, 596, 499, 595, 525, 602, 504)(439, 519, 617, 558, 599, 505, 603, 520)(444, 527, 590, 548, 634, 657, 619, 521)(447, 532, 624, 546, 576, 560, 625, 533)(449, 534, 593, 652, 664, 655, 626, 535)(452, 537, 587, 650, 667, 663, 629, 538)(456, 544, 584, 649, 598, 500, 597, 545)(471, 561, 580, 487, 579, 528, 612, 562)(477, 481, 571, 639, 666, 656, 618, 522)(493, 586, 646, 581, 555, 601, 648, 583)(508, 606, 645, 670, 661, 623, 531, 607)(511, 608, 642, 669, 658, 631, 552, 609)(515, 613, 641, 668, 647, 582, 556, 614)(621, 659, 672, 654, 630, 662, 671, 653)
	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) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1728
Transitivity :: ET+
Graph:: simple bipartite
	v = 210 e = 336 f = 84
	degree seq :: [ 2^168, 8^42 ]

E22.1728 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^8, T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 ]
Map::
	R = (1, 337, 3, 339, 8, 344, 4, 340)(2, 338, 5, 341, 11, 347, 6, 342)(7, 343, 13, 349, 24, 360, 14, 350)(9, 345, 16, 352, 29, 365, 17, 353)(10, 346, 18, 354, 32, 368, 19, 355)(12, 348, 21, 357, 37, 373, 22, 358)(15, 351, 26, 362, 45, 381, 27, 363)(20, 356, 34, 370, 58, 394, 35, 371)(23, 359, 39, 375, 66, 402, 40, 376)(25, 361, 42, 378, 71, 407, 43, 379)(28, 364, 47, 383, 79, 415, 48, 384)(30, 366, 50, 386, 84, 420, 51, 387)(31, 367, 52, 388, 87, 423, 53, 389)(33, 369, 55, 391, 92, 428, 56, 392)(36, 372, 60, 396, 100, 436, 61, 397)(38, 374, 63, 399, 105, 441, 64, 400)(41, 377, 68, 404, 113, 449, 69, 405)(44, 380, 73, 409, 121, 457, 74, 410)(46, 382, 76, 412, 126, 462, 77, 413)(49, 385, 81, 417, 134, 470, 82, 418)(54, 390, 89, 425, 147, 483, 90, 426)(57, 393, 94, 430, 155, 491, 95, 431)(59, 395, 97, 433, 160, 496, 98, 434)(62, 398, 102, 438, 168, 504, 103, 439)(65, 401, 107, 443, 175, 511, 108, 444)(67, 403, 110, 446, 180, 516, 111, 447)(70, 406, 115, 451, 187, 523, 116, 452)(72, 408, 118, 454, 192, 528, 119, 455)(75, 411, 123, 459, 198, 534, 124, 460)(78, 414, 128, 464, 204, 540, 129, 465)(80, 416, 131, 467, 207, 543, 132, 468)(83, 419, 136, 472, 210, 546, 137, 473)(85, 421, 139, 475, 213, 549, 140, 476)(86, 422, 141, 477, 214, 550, 142, 478)(88, 424, 144, 480, 217, 553, 145, 481)(91, 427, 149, 485, 222, 558, 150, 486)(93, 429, 152, 488, 186, 522, 153, 489)(96, 432, 157, 493, 230, 566, 158, 494)(99, 435, 162, 498, 208, 544, 163, 499)(101, 437, 165, 501, 236, 572, 166, 502)(104, 440, 170, 506, 238, 574, 171, 507)(106, 442, 173, 509, 240, 576, 174, 510)(109, 445, 177, 513, 135, 471, 178, 514)(112, 448, 182, 518, 138, 474, 183, 519)(114, 450, 184, 520, 130, 466, 185, 521)(117, 453, 189, 525, 133, 469, 190, 526)(120, 456, 194, 530, 257, 593, 195, 531)(122, 458, 196, 532, 259, 595, 197, 533)(125, 461, 199, 535, 262, 598, 200, 536)(127, 463, 201, 537, 264, 600, 202, 538)(143, 479, 188, 524, 169, 505, 216, 552)(146, 482, 206, 542, 172, 508, 219, 555)(148, 484, 220, 556, 164, 500, 221, 557)(151, 487, 223, 559, 167, 503, 224, 560)(154, 490, 227, 563, 272, 608, 211, 547)(156, 492, 228, 564, 291, 627, 229, 565)(159, 495, 231, 567, 294, 630, 232, 568)(161, 497, 179, 515, 244, 580, 233, 569)(176, 512, 212, 548, 273, 609, 242, 578)(181, 517, 246, 582, 261, 597, 247, 583)(191, 527, 254, 590, 267, 603, 205, 541)(193, 529, 255, 591, 318, 654, 256, 592)(203, 539, 265, 601, 319, 655, 266, 602)(209, 545, 269, 605, 260, 596, 270, 606)(215, 551, 239, 575, 303, 639, 276, 612)(218, 554, 279, 615, 293, 629, 280, 616)(225, 561, 287, 623, 298, 634, 235, 571)(226, 562, 288, 624, 327, 663, 289, 625)(234, 570, 296, 632, 328, 664, 297, 633)(237, 573, 300, 636, 292, 628, 301, 637)(241, 577, 263, 599, 253, 589, 305, 641)(243, 579, 307, 643, 251, 587, 308, 644)(245, 581, 309, 645, 252, 588, 310, 646)(248, 584, 312, 648, 268, 604, 313, 649)(249, 585, 314, 650, 271, 607, 315, 651)(250, 586, 258, 594, 274, 610, 316, 652)(275, 611, 295, 631, 286, 622, 320, 656)(277, 613, 321, 657, 284, 620, 323, 659)(278, 614, 324, 660, 285, 621, 306, 642)(281, 617, 325, 661, 299, 635, 311, 647)(282, 618, 326, 662, 302, 638, 322, 658)(283, 619, 290, 626, 304, 640, 317, 653)(329, 665, 330, 666, 331, 667, 332, 668)(333, 669, 334, 670, 335, 671, 336, 672)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 346)(6, 348)(7, 339)(8, 351)(9, 340)(10, 341)(11, 356)(12, 342)(13, 359)(14, 361)(15, 344)(16, 364)(17, 366)(18, 367)(19, 369)(20, 347)(21, 372)(22, 374)(23, 349)(24, 377)(25, 350)(26, 380)(27, 382)(28, 352)(29, 385)(30, 353)(31, 354)(32, 390)(33, 355)(34, 393)(35, 395)(36, 357)(37, 398)(38, 358)(39, 401)(40, 403)(41, 360)(42, 406)(43, 408)(44, 362)(45, 411)(46, 363)(47, 414)(48, 416)(49, 365)(50, 419)(51, 421)(52, 422)(53, 424)(54, 368)(55, 427)(56, 429)(57, 370)(58, 432)(59, 371)(60, 435)(61, 437)(62, 373)(63, 440)(64, 442)(65, 375)(66, 445)(67, 376)(68, 448)(69, 450)(70, 378)(71, 453)(72, 379)(73, 456)(74, 458)(75, 381)(76, 461)(77, 463)(78, 383)(79, 466)(80, 384)(81, 469)(82, 471)(83, 386)(84, 474)(85, 387)(86, 388)(87, 479)(88, 389)(89, 482)(90, 484)(91, 391)(92, 487)(93, 392)(94, 490)(95, 492)(96, 394)(97, 495)(98, 497)(99, 396)(100, 500)(101, 397)(102, 503)(103, 505)(104, 399)(105, 508)(106, 400)(107, 510)(108, 512)(109, 402)(110, 515)(111, 517)(112, 404)(113, 494)(114, 405)(115, 522)(116, 524)(117, 407)(118, 527)(119, 529)(120, 409)(121, 496)(122, 410)(123, 504)(124, 483)(125, 412)(126, 491)(127, 413)(128, 539)(129, 541)(130, 415)(131, 542)(132, 544)(133, 417)(134, 493)(135, 418)(136, 545)(137, 547)(138, 420)(139, 548)(140, 477)(141, 476)(142, 551)(143, 423)(144, 537)(145, 554)(146, 425)(147, 460)(148, 426)(149, 528)(150, 513)(151, 428)(152, 561)(153, 562)(154, 430)(155, 462)(156, 431)(157, 470)(158, 449)(159, 433)(160, 457)(161, 434)(162, 570)(163, 571)(164, 436)(165, 518)(166, 540)(167, 438)(168, 459)(169, 439)(170, 573)(171, 531)(172, 441)(173, 575)(174, 443)(175, 577)(176, 444)(177, 486)(178, 579)(179, 446)(180, 581)(181, 447)(182, 501)(183, 584)(184, 585)(185, 586)(186, 451)(187, 587)(188, 452)(189, 588)(190, 589)(191, 454)(192, 485)(193, 455)(194, 592)(195, 507)(196, 594)(197, 596)(198, 566)(199, 597)(200, 599)(201, 480)(202, 601)(203, 464)(204, 502)(205, 465)(206, 467)(207, 604)(208, 468)(209, 472)(210, 607)(211, 473)(212, 475)(213, 610)(214, 611)(215, 478)(216, 613)(217, 614)(218, 481)(219, 617)(220, 618)(221, 619)(222, 620)(223, 621)(224, 622)(225, 488)(226, 489)(227, 625)(228, 626)(229, 628)(230, 534)(231, 629)(232, 631)(233, 632)(234, 498)(235, 499)(236, 635)(237, 506)(238, 638)(239, 509)(240, 640)(241, 511)(242, 642)(243, 514)(244, 600)(245, 516)(246, 623)(247, 647)(248, 519)(249, 520)(250, 521)(251, 523)(252, 525)(253, 526)(254, 615)(255, 653)(256, 530)(257, 608)(258, 532)(259, 627)(260, 533)(261, 535)(262, 630)(263, 536)(264, 580)(265, 538)(266, 656)(267, 637)(268, 543)(269, 657)(270, 634)(271, 546)(272, 593)(273, 658)(274, 549)(275, 550)(276, 646)(277, 552)(278, 553)(279, 590)(280, 649)(281, 555)(282, 556)(283, 557)(284, 558)(285, 559)(286, 560)(287, 582)(288, 652)(289, 563)(290, 564)(291, 595)(292, 565)(293, 567)(294, 598)(295, 568)(296, 569)(297, 641)(298, 606)(299, 572)(300, 643)(301, 603)(302, 574)(303, 651)(304, 576)(305, 633)(306, 578)(307, 636)(308, 665)(309, 662)(310, 612)(311, 583)(312, 666)(313, 616)(314, 660)(315, 639)(316, 624)(317, 591)(318, 667)(319, 668)(320, 602)(321, 605)(322, 609)(323, 669)(324, 650)(325, 670)(326, 645)(327, 671)(328, 672)(329, 644)(330, 648)(331, 654)(332, 655)(333, 659)(334, 661)(335, 663)(336, 664)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1727
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 84 e = 336 f = 210
	degree seq :: [ 8^84 ]

E22.1729 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T1 * T2^-1 * T1 * T2)^3, (T1 * T2^-2 * T1 * T2^-1)^3, (T2 * T1)^8, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2 ]
Map::
	R = (1, 337, 3, 339, 8, 344, 4, 340)(2, 338, 5, 341, 11, 347, 6, 342)(7, 343, 13, 349, 24, 360, 14, 350)(9, 345, 16, 352, 29, 365, 17, 353)(10, 346, 18, 354, 32, 368, 19, 355)(12, 348, 21, 357, 37, 373, 22, 358)(15, 351, 26, 362, 45, 381, 27, 363)(20, 356, 34, 370, 58, 394, 35, 371)(23, 359, 39, 375, 66, 402, 40, 376)(25, 361, 42, 378, 70, 406, 43, 379)(28, 364, 47, 383, 78, 414, 48, 384)(30, 366, 50, 386, 82, 418, 51, 387)(31, 367, 52, 388, 85, 421, 53, 389)(33, 369, 55, 391, 89, 425, 56, 392)(36, 372, 60, 396, 97, 433, 61, 397)(38, 374, 63, 399, 101, 437, 64, 400)(41, 377, 68, 404, 109, 445, 69, 405)(44, 380, 72, 408, 115, 451, 73, 409)(46, 382, 75, 411, 119, 455, 76, 412)(49, 385, 79, 415, 125, 461, 80, 416)(54, 390, 87, 423, 136, 472, 88, 424)(57, 393, 91, 427, 126, 462, 92, 428)(59, 395, 94, 430, 108, 444, 95, 431)(62, 398, 98, 434, 150, 486, 99, 435)(65, 401, 103, 439, 155, 491, 104, 440)(67, 403, 106, 442, 158, 494, 107, 443)(71, 407, 112, 448, 165, 501, 113, 449)(74, 410, 117, 453, 171, 507, 118, 454)(77, 413, 121, 457, 176, 512, 122, 458)(81, 417, 127, 463, 169, 505, 116, 452)(83, 419, 129, 465, 185, 521, 130, 466)(84, 420, 131, 467, 186, 522, 132, 468)(86, 422, 134, 470, 164, 500, 135, 471)(90, 426, 139, 475, 194, 530, 140, 476)(93, 429, 143, 479, 199, 535, 144, 480)(96, 432, 146, 482, 204, 540, 147, 483)(100, 436, 151, 487, 177, 513, 142, 478)(102, 438, 153, 489, 212, 548, 154, 490)(105, 441, 128, 464, 183, 519, 157, 493)(110, 446, 161, 497, 170, 506, 162, 498)(111, 447, 163, 499, 178, 514, 123, 459)(114, 450, 167, 503, 225, 561, 168, 504)(120, 456, 173, 509, 229, 565, 174, 510)(124, 460, 179, 515, 172, 508, 180, 516)(133, 469, 152, 488, 210, 546, 188, 524)(137, 473, 191, 527, 198, 534, 192, 528)(138, 474, 193, 529, 205, 541, 148, 484)(141, 477, 196, 532, 254, 590, 197, 533)(145, 481, 201, 537, 258, 594, 202, 538)(149, 485, 206, 542, 200, 536, 207, 543)(156, 492, 214, 550, 228, 564, 215, 551)(159, 495, 182, 518, 238, 574, 217, 553)(160, 496, 218, 554, 275, 611, 219, 555)(166, 502, 223, 559, 282, 618, 224, 560)(175, 511, 230, 566, 287, 623, 231, 567)(181, 517, 236, 572, 294, 630, 237, 573)(184, 520, 240, 576, 226, 562, 235, 571)(187, 523, 243, 579, 257, 593, 244, 580)(189, 525, 209, 545, 267, 603, 246, 582)(190, 526, 247, 583, 303, 639, 248, 584)(195, 531, 252, 588, 310, 646, 253, 589)(203, 539, 259, 595, 315, 651, 260, 596)(208, 544, 265, 601, 322, 658, 266, 602)(211, 547, 269, 605, 255, 591, 264, 600)(213, 549, 222, 558, 281, 617, 271, 607)(216, 552, 272, 608, 274, 610, 273, 609)(220, 556, 277, 613, 327, 663, 278, 614)(221, 557, 279, 615, 276, 612, 280, 616)(227, 563, 284, 620, 329, 665, 285, 621)(232, 568, 241, 577, 298, 634, 288, 624)(233, 569, 289, 625, 293, 629, 290, 626)(234, 570, 291, 627, 331, 667, 292, 628)(239, 575, 296, 632, 295, 631, 297, 633)(242, 578, 251, 587, 309, 645, 299, 635)(245, 581, 300, 636, 302, 638, 301, 637)(249, 585, 305, 641, 332, 668, 306, 642)(250, 586, 307, 643, 304, 640, 308, 644)(256, 592, 312, 648, 334, 670, 313, 649)(261, 597, 270, 606, 326, 662, 316, 652)(262, 598, 317, 653, 321, 657, 318, 654)(263, 599, 319, 655, 336, 672, 320, 656)(268, 604, 324, 660, 323, 659, 325, 661)(283, 619, 286, 622, 330, 666, 328, 664)(311, 647, 314, 650, 335, 671, 333, 669)
	L = (1, 338)(2, 337)(3, 343)(4, 345)(5, 346)(6, 348)(7, 339)(8, 351)(9, 340)(10, 341)(11, 356)(12, 342)(13, 359)(14, 361)(15, 344)(16, 364)(17, 366)(18, 367)(19, 369)(20, 347)(21, 372)(22, 374)(23, 349)(24, 377)(25, 350)(26, 380)(27, 382)(28, 352)(29, 385)(30, 353)(31, 354)(32, 390)(33, 355)(34, 393)(35, 395)(36, 357)(37, 398)(38, 358)(39, 401)(40, 403)(41, 360)(42, 391)(43, 407)(44, 362)(45, 410)(46, 363)(47, 413)(48, 397)(49, 365)(50, 417)(51, 419)(52, 420)(53, 422)(54, 368)(55, 378)(56, 426)(57, 370)(58, 429)(59, 371)(60, 432)(61, 384)(62, 373)(63, 436)(64, 438)(65, 375)(66, 441)(67, 376)(68, 444)(69, 446)(70, 447)(71, 379)(72, 450)(73, 452)(74, 381)(75, 442)(76, 456)(77, 383)(78, 459)(79, 460)(80, 462)(81, 386)(82, 464)(83, 387)(84, 388)(85, 469)(86, 389)(87, 455)(88, 473)(89, 474)(90, 392)(91, 477)(92, 478)(93, 394)(94, 470)(95, 481)(96, 396)(97, 484)(98, 485)(99, 451)(100, 399)(101, 488)(102, 400)(103, 490)(104, 492)(105, 402)(106, 411)(107, 495)(108, 404)(109, 496)(110, 405)(111, 406)(112, 500)(113, 502)(114, 408)(115, 435)(116, 409)(117, 506)(118, 508)(119, 423)(120, 412)(121, 511)(122, 513)(123, 414)(124, 415)(125, 517)(126, 416)(127, 518)(128, 418)(129, 520)(130, 467)(131, 466)(132, 523)(133, 421)(134, 430)(135, 525)(136, 526)(137, 424)(138, 425)(139, 494)(140, 531)(141, 427)(142, 428)(143, 534)(144, 536)(145, 431)(146, 539)(147, 505)(148, 433)(149, 434)(150, 544)(151, 545)(152, 437)(153, 547)(154, 439)(155, 549)(156, 440)(157, 552)(158, 475)(159, 443)(160, 445)(161, 550)(162, 556)(163, 557)(164, 448)(165, 558)(166, 449)(167, 560)(168, 562)(169, 483)(170, 453)(171, 563)(172, 454)(173, 564)(174, 566)(175, 457)(176, 568)(177, 458)(178, 569)(179, 570)(180, 571)(181, 461)(182, 463)(183, 575)(184, 465)(185, 577)(186, 578)(187, 468)(188, 581)(189, 471)(190, 472)(191, 579)(192, 585)(193, 586)(194, 587)(195, 476)(196, 589)(197, 591)(198, 479)(199, 592)(200, 480)(201, 593)(202, 595)(203, 482)(204, 597)(205, 598)(206, 599)(207, 600)(208, 486)(209, 487)(210, 604)(211, 489)(212, 606)(213, 491)(214, 497)(215, 582)(216, 493)(217, 580)(218, 610)(219, 612)(220, 498)(221, 499)(222, 501)(223, 596)(224, 503)(225, 619)(226, 504)(227, 507)(228, 509)(229, 622)(230, 510)(231, 588)(232, 512)(233, 514)(234, 515)(235, 516)(236, 629)(237, 631)(238, 605)(239, 519)(240, 603)(241, 521)(242, 522)(243, 527)(244, 553)(245, 524)(246, 551)(247, 638)(248, 640)(249, 528)(250, 529)(251, 530)(252, 567)(253, 532)(254, 647)(255, 533)(256, 535)(257, 537)(258, 650)(259, 538)(260, 559)(261, 540)(262, 541)(263, 542)(264, 543)(265, 657)(266, 659)(267, 576)(268, 546)(269, 574)(270, 548)(271, 661)(272, 662)(273, 637)(274, 554)(275, 649)(276, 555)(277, 652)(278, 643)(279, 642)(280, 651)(281, 656)(282, 653)(283, 561)(284, 658)(285, 639)(286, 565)(287, 644)(288, 641)(289, 646)(290, 655)(291, 654)(292, 645)(293, 572)(294, 648)(295, 573)(296, 660)(297, 635)(298, 636)(299, 633)(300, 634)(301, 609)(302, 583)(303, 621)(304, 584)(305, 624)(306, 615)(307, 614)(308, 623)(309, 628)(310, 625)(311, 590)(312, 630)(313, 611)(314, 594)(315, 616)(316, 613)(317, 618)(318, 627)(319, 626)(320, 617)(321, 601)(322, 620)(323, 602)(324, 632)(325, 607)(326, 608)(327, 671)(328, 672)(329, 670)(330, 668)(331, 669)(332, 666)(333, 667)(334, 665)(335, 663)(336, 664)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1726
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 84 e = 336 f = 210
	degree seq :: [ 8^84 ]

E22.1730 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (T1^-1 * T2^-1)^2, (F * T1)^2, T2^8, (T1^-1 * T2^2)^3, T1^-1 * T2^2 * T1^2 * T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-2 * T2^-3 * T1^-1 ]
Map::
	R = (1, 337, 3, 339, 10, 346, 24, 360, 52, 388, 32, 368, 14, 350, 5, 341)(2, 338, 7, 343, 17, 353, 38, 374, 79, 415, 44, 380, 20, 356, 8, 344)(4, 340, 12, 348, 27, 363, 58, 394, 97, 433, 48, 384, 22, 358, 9, 345)(6, 342, 15, 351, 33, 369, 69, 405, 131, 467, 75, 411, 36, 372, 16, 352)(11, 347, 26, 362, 55, 391, 109, 445, 177, 513, 101, 437, 50, 386, 23, 359)(13, 349, 29, 365, 61, 397, 118, 454, 199, 535, 123, 459, 64, 400, 30, 366)(18, 354, 40, 376, 82, 418, 151, 487, 229, 565, 144, 480, 77, 413, 37, 373)(19, 355, 41, 377, 84, 420, 154, 490, 239, 575, 158, 494, 87, 423, 42, 378)(21, 357, 45, 381, 90, 426, 162, 498, 246, 582, 166, 502, 93, 429, 46, 382)(25, 361, 54, 390, 43, 379, 88, 424, 159, 495, 181, 517, 103, 439, 51, 387)(28, 364, 60, 396, 115, 451, 196, 532, 267, 603, 191, 527, 112, 448, 57, 393)(31, 367, 65, 401, 124, 460, 209, 545, 193, 529, 113, 449, 59, 395, 66, 402)(34, 370, 71, 407, 133, 469, 219, 555, 288, 624, 214, 550, 129, 465, 68, 404)(35, 371, 72, 408, 135, 471, 221, 557, 295, 631, 224, 560, 138, 474, 73, 409)(39, 375, 81, 417, 74, 410, 139, 475, 180, 516, 230, 566, 146, 482, 78, 414)(47, 383, 94, 430, 167, 503, 254, 590, 210, 546, 130, 466, 70, 406, 95, 431)(49, 385, 98, 434, 136, 472, 149, 485, 234, 570, 261, 597, 173, 509, 99, 435)(53, 389, 106, 442, 96, 432, 170, 506, 256, 592, 200, 536, 183, 519, 104, 440)(56, 392, 110, 446, 189, 525, 272, 608, 213, 549, 145, 481, 187, 523, 108, 444)(62, 398, 120, 456, 202, 538, 282, 618, 255, 591, 169, 505, 128, 464, 117, 453)(63, 399, 121, 457, 204, 540, 168, 504, 185, 521, 268, 604, 206, 542, 122, 458)(67, 403, 105, 441, 184, 520, 176, 512, 232, 568, 147, 483, 80, 416, 127, 463)(76, 412, 141, 477, 91, 427, 163, 499, 248, 584, 301, 637, 227, 563, 142, 478)(83, 419, 152, 488, 237, 573, 306, 642, 245, 581, 215, 551, 235, 571, 150, 486)(85, 421, 107, 443, 186, 522, 269, 605, 212, 548, 126, 462, 111, 447, 153, 489)(86, 422, 156, 492, 208, 544, 125, 461, 211, 547, 286, 622, 241, 577, 157, 493)(89, 425, 148, 484, 233, 569, 228, 564, 290, 626, 216, 552, 132, 468, 161, 497)(92, 428, 164, 500, 250, 586, 225, 561, 276, 612, 318, 654, 252, 588, 165, 501)(100, 436, 174, 510, 155, 491, 198, 534, 119, 455, 201, 537, 143, 479, 175, 511)(102, 438, 178, 514, 195, 531, 116, 452, 197, 533, 278, 614, 264, 600, 179, 515)(114, 450, 194, 530, 140, 476, 217, 553, 291, 627, 247, 583, 258, 594, 171, 507)(134, 470, 220, 556, 293, 629, 328, 664, 275, 611, 192, 528, 274, 610, 218, 554)(137, 473, 222, 558, 243, 579, 160, 496, 244, 580, 311, 647, 297, 633, 223, 559)(172, 508, 259, 595, 321, 657, 277, 613, 325, 661, 298, 634, 322, 658, 260, 596)(182, 518, 265, 601, 271, 607, 190, 526, 273, 609, 205, 541, 284, 620, 266, 602)(188, 524, 270, 606, 253, 589, 313, 649, 300, 636, 226, 562, 299, 635, 262, 598)(203, 539, 283, 619, 330, 666, 292, 628, 310, 646, 242, 578, 308, 644, 281, 617)(207, 543, 280, 616, 314, 650, 249, 585, 315, 651, 302, 638, 236, 572, 285, 621)(231, 567, 303, 639, 305, 641, 238, 574, 307, 643, 240, 576, 309, 645, 304, 640)(251, 587, 316, 652, 319, 655, 257, 593, 320, 656, 329, 665, 279, 615, 317, 653)(263, 599, 323, 659, 287, 623, 326, 662, 312, 648, 336, 672, 327, 663, 324, 660)(289, 625, 331, 667, 333, 669, 294, 630, 334, 670, 296, 632, 335, 671, 332, 668)
	L = (1, 338)(2, 342)(3, 345)(4, 337)(5, 349)(6, 340)(7, 341)(8, 355)(9, 357)(10, 359)(11, 339)(12, 352)(13, 354)(14, 367)(15, 344)(16, 371)(17, 373)(18, 343)(19, 370)(20, 379)(21, 347)(22, 383)(23, 385)(24, 387)(25, 346)(26, 382)(27, 393)(28, 348)(29, 350)(30, 399)(31, 398)(32, 403)(33, 404)(34, 351)(35, 364)(36, 410)(37, 412)(38, 414)(39, 353)(40, 366)(41, 356)(42, 422)(43, 421)(44, 425)(45, 358)(46, 428)(47, 427)(48, 432)(49, 361)(50, 436)(51, 438)(52, 440)(53, 360)(54, 435)(55, 444)(56, 362)(57, 447)(58, 449)(59, 363)(60, 409)(61, 453)(62, 365)(63, 419)(64, 391)(65, 368)(66, 462)(67, 461)(68, 464)(69, 466)(70, 369)(71, 378)(72, 372)(73, 473)(74, 472)(75, 476)(76, 375)(77, 479)(78, 481)(79, 483)(80, 374)(81, 478)(82, 486)(83, 376)(84, 489)(85, 377)(86, 470)(87, 418)(88, 380)(89, 496)(90, 477)(91, 381)(92, 392)(93, 451)(94, 384)(95, 505)(96, 504)(97, 507)(98, 386)(99, 508)(100, 471)(101, 512)(102, 389)(103, 516)(104, 518)(105, 388)(106, 515)(107, 390)(108, 457)(109, 459)(110, 501)(111, 395)(112, 491)(113, 528)(114, 394)(115, 531)(116, 396)(117, 465)(118, 534)(119, 397)(120, 402)(121, 400)(122, 541)(123, 543)(124, 544)(125, 401)(126, 539)(127, 549)(128, 406)(129, 455)(130, 551)(131, 552)(132, 405)(133, 554)(134, 407)(135, 434)(136, 408)(137, 452)(138, 469)(139, 411)(140, 561)(141, 413)(142, 562)(143, 426)(144, 564)(145, 416)(146, 503)(147, 567)(148, 415)(149, 417)(150, 492)(151, 494)(152, 458)(153, 448)(154, 510)(155, 420)(156, 423)(157, 576)(158, 578)(159, 579)(160, 424)(161, 581)(162, 537)(163, 431)(164, 429)(165, 587)(166, 589)(167, 540)(168, 430)(169, 585)(170, 433)(171, 593)(172, 443)(173, 525)(174, 437)(175, 480)(176, 490)(177, 598)(178, 439)(179, 599)(180, 586)(181, 545)(182, 441)(183, 603)(184, 602)(185, 442)(186, 596)(187, 482)(188, 445)(189, 607)(190, 446)(191, 536)(192, 450)(193, 495)(194, 611)(195, 500)(196, 502)(197, 559)(198, 527)(199, 592)(200, 454)(201, 550)(202, 617)(203, 456)(204, 523)(205, 574)(206, 538)(207, 524)(208, 571)(209, 590)(210, 460)(211, 463)(212, 614)(213, 623)(214, 583)(215, 468)(216, 625)(217, 467)(218, 558)(219, 560)(220, 493)(221, 511)(222, 474)(223, 632)(224, 634)(225, 475)(226, 485)(227, 573)(228, 557)(229, 638)(230, 517)(231, 484)(232, 513)(233, 640)(234, 636)(235, 546)(236, 487)(237, 641)(238, 488)(239, 520)(240, 630)(241, 522)(242, 572)(243, 610)(244, 497)(245, 648)(246, 627)(247, 498)(248, 650)(249, 499)(250, 514)(251, 526)(252, 584)(253, 613)(254, 566)(255, 629)(256, 655)(257, 506)(258, 624)(259, 509)(260, 645)(261, 647)(262, 639)(263, 521)(264, 605)(265, 519)(266, 644)(267, 657)(268, 660)(269, 622)(270, 621)(271, 595)(272, 597)(273, 653)(274, 529)(275, 663)(276, 530)(277, 532)(278, 665)(279, 533)(280, 535)(281, 620)(282, 604)(283, 548)(284, 542)(285, 646)(286, 659)(287, 547)(288, 666)(289, 553)(290, 565)(291, 668)(292, 555)(293, 669)(294, 556)(295, 569)(296, 615)(297, 570)(298, 628)(299, 563)(300, 671)(301, 654)(302, 667)(303, 568)(304, 658)(305, 635)(306, 637)(307, 609)(308, 575)(309, 577)(310, 661)(311, 662)(312, 580)(313, 582)(314, 652)(315, 591)(316, 588)(317, 670)(318, 672)(319, 616)(320, 594)(321, 601)(322, 631)(323, 600)(324, 664)(325, 606)(326, 608)(327, 612)(328, 618)(329, 619)(330, 656)(331, 626)(332, 649)(333, 651)(334, 643)(335, 633)(336, 642)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1723
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 336 f = 252
	degree seq :: [ 16^42 ]

E22.1731 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T2)^2, T1^4, (F * T1)^2, T2^8, T1^-2 * T2^2 * T1 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-1 * T2^2 * T1^-1)^2, T1 * T2^-3 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-3, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2, T2^-1 * T1^-1 * T2^2 * T1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 ]
Map::
	R = (1, 337, 3, 339, 10, 346, 24, 360, 52, 388, 32, 368, 14, 350, 5, 341)(2, 338, 7, 343, 17, 353, 38, 374, 79, 415, 44, 380, 20, 356, 8, 344)(4, 340, 12, 348, 27, 363, 58, 394, 98, 434, 48, 384, 22, 358, 9, 345)(6, 342, 15, 351, 33, 369, 69, 405, 132, 468, 75, 411, 36, 372, 16, 352)(11, 347, 26, 362, 55, 391, 110, 446, 186, 522, 102, 438, 50, 386, 23, 359)(13, 349, 29, 365, 61, 397, 120, 456, 211, 547, 124, 460, 64, 400, 30, 366)(18, 354, 40, 376, 82, 418, 155, 491, 243, 579, 147, 483, 77, 413, 37, 373)(19, 355, 41, 377, 84, 420, 158, 494, 256, 592, 162, 498, 87, 423, 42, 378)(21, 357, 45, 381, 91, 427, 168, 504, 264, 600, 173, 509, 94, 430, 46, 382)(25, 361, 54, 390, 108, 444, 195, 531, 286, 622, 190, 526, 104, 440, 51, 387)(28, 364, 60, 396, 117, 453, 207, 543, 298, 634, 201, 537, 113, 449, 57, 393)(31, 367, 65, 401, 125, 461, 218, 554, 309, 645, 221, 557, 127, 463, 66, 402)(34, 370, 71, 407, 135, 471, 231, 567, 304, 640, 212, 548, 130, 466, 68, 404)(35, 371, 72, 408, 137, 473, 185, 521, 280, 616, 236, 572, 140, 476, 73, 409)(39, 375, 81, 417, 153, 489, 251, 587, 292, 628, 247, 583, 149, 485, 78, 414)(43, 379, 88, 424, 163, 499, 261, 597, 301, 637, 208, 544, 165, 501, 89, 425)(47, 383, 95, 431, 174, 510, 269, 605, 307, 643, 271, 607, 176, 512, 96, 432)(49, 385, 99, 435, 180, 516, 143, 479, 228, 564, 276, 612, 182, 518, 100, 436)(53, 389, 107, 443, 194, 530, 138, 474, 234, 570, 290, 626, 192, 528, 105, 441)(56, 392, 111, 447, 63, 399, 123, 459, 215, 551, 293, 629, 196, 532, 109, 445)(59, 395, 116, 452, 205, 541, 181, 517, 275, 611, 299, 635, 203, 539, 114, 450)(62, 398, 122, 458, 214, 550, 306, 642, 227, 563, 133, 469, 209, 545, 119, 455)(67, 403, 106, 442, 193, 529, 291, 627, 223, 559, 129, 465, 222, 558, 128, 464)(70, 406, 134, 470, 229, 565, 294, 630, 325, 661, 313, 649, 226, 562, 131, 467)(74, 410, 141, 477, 237, 573, 318, 654, 326, 662, 254, 590, 239, 575, 142, 478)(76, 412, 144, 480, 178, 514, 97, 433, 177, 513, 272, 608, 240, 576, 145, 481)(80, 416, 152, 488, 167, 503, 92, 428, 170, 506, 266, 602, 249, 585, 150, 486)(83, 419, 156, 492, 86, 422, 161, 497, 259, 595, 310, 646, 252, 588, 154, 490)(85, 421, 160, 496, 258, 594, 274, 610, 179, 515, 115, 451, 204, 540, 157, 493)(90, 426, 151, 487, 250, 586, 295, 631, 199, 535, 112, 448, 198, 534, 166, 502)(93, 429, 171, 507, 267, 603, 285, 621, 300, 636, 206, 542, 118, 454, 172, 508)(101, 437, 183, 519, 277, 613, 255, 591, 159, 495, 257, 593, 279, 615, 184, 520)(103, 439, 187, 523, 164, 500, 262, 598, 329, 665, 334, 670, 282, 618, 188, 524)(121, 457, 213, 549, 289, 625, 297, 633, 200, 536, 296, 632, 303, 639, 210, 546)(126, 462, 220, 556, 311, 647, 336, 672, 321, 657, 253, 589, 202, 538, 217, 553)(136, 472, 232, 568, 139, 475, 235, 571, 317, 653, 328, 664, 315, 651, 230, 566)(146, 482, 241, 577, 319, 655, 278, 614, 233, 569, 316, 652, 320, 656, 242, 578)(148, 484, 244, 580, 238, 574, 216, 552, 305, 641, 335, 671, 322, 658, 245, 581)(169, 505, 265, 601, 331, 667, 312, 648, 224, 560, 302, 638, 330, 666, 263, 599)(175, 511, 260, 596, 327, 663, 333, 669, 281, 617, 197, 533, 225, 561, 268, 604)(189, 525, 283, 619, 246, 582, 323, 659, 270, 606, 308, 644, 219, 555, 284, 620)(191, 527, 287, 623, 273, 609, 332, 668, 314, 650, 324, 660, 248, 584, 288, 624)
	L = (1, 338)(2, 342)(3, 345)(4, 337)(5, 349)(6, 340)(7, 341)(8, 355)(9, 357)(10, 359)(11, 339)(12, 352)(13, 354)(14, 367)(15, 344)(16, 371)(17, 373)(18, 343)(19, 370)(20, 379)(21, 347)(22, 383)(23, 385)(24, 387)(25, 346)(26, 382)(27, 393)(28, 348)(29, 350)(30, 399)(31, 398)(32, 403)(33, 404)(34, 351)(35, 364)(36, 410)(37, 412)(38, 414)(39, 353)(40, 366)(41, 356)(42, 422)(43, 421)(44, 426)(45, 358)(46, 429)(47, 428)(48, 433)(49, 361)(50, 437)(51, 439)(52, 441)(53, 360)(54, 436)(55, 445)(56, 362)(57, 448)(58, 450)(59, 363)(60, 409)(61, 455)(62, 365)(63, 419)(64, 452)(65, 368)(66, 453)(67, 462)(68, 465)(69, 467)(70, 369)(71, 378)(72, 372)(73, 475)(74, 474)(75, 479)(76, 375)(77, 482)(78, 484)(79, 486)(80, 374)(81, 481)(82, 490)(83, 376)(84, 493)(85, 377)(86, 472)(87, 390)(88, 380)(89, 391)(90, 500)(91, 503)(92, 381)(93, 392)(94, 470)(95, 384)(96, 471)(97, 511)(98, 515)(99, 386)(100, 497)(101, 517)(102, 521)(103, 389)(104, 525)(105, 527)(106, 388)(107, 524)(108, 498)(109, 496)(110, 501)(111, 508)(112, 395)(113, 536)(114, 538)(115, 394)(116, 535)(117, 542)(118, 396)(119, 544)(120, 546)(121, 397)(122, 402)(123, 400)(124, 552)(125, 553)(126, 401)(127, 488)(128, 489)(129, 406)(130, 560)(131, 561)(132, 563)(133, 405)(134, 559)(135, 566)(136, 407)(137, 530)(138, 408)(139, 454)(140, 417)(141, 411)(142, 418)(143, 574)(144, 413)(145, 571)(146, 531)(147, 504)(148, 416)(149, 582)(150, 584)(151, 415)(152, 581)(153, 572)(154, 570)(155, 575)(156, 447)(157, 590)(158, 591)(159, 420)(160, 425)(161, 423)(162, 596)(163, 523)(164, 424)(165, 545)(166, 565)(167, 557)(168, 599)(169, 427)(170, 432)(171, 430)(172, 568)(173, 598)(174, 604)(175, 431)(176, 443)(177, 434)(178, 444)(179, 609)(180, 541)(181, 435)(182, 601)(183, 438)(184, 602)(185, 614)(186, 617)(187, 440)(188, 567)(189, 499)(190, 621)(191, 442)(192, 625)(193, 624)(194, 607)(195, 480)(196, 628)(197, 446)(198, 449)(199, 459)(200, 630)(201, 494)(202, 451)(203, 555)(204, 589)(205, 460)(206, 458)(207, 463)(208, 457)(209, 533)(210, 638)(211, 640)(212, 456)(213, 637)(214, 636)(215, 631)(216, 516)(217, 539)(218, 644)(219, 461)(220, 464)(221, 505)(222, 466)(223, 507)(224, 587)(225, 469)(226, 606)(227, 650)(228, 468)(229, 509)(230, 506)(231, 512)(232, 492)(233, 473)(234, 478)(235, 476)(236, 556)(237, 580)(238, 477)(239, 540)(240, 549)(241, 483)(242, 550)(243, 657)(244, 485)(245, 543)(246, 573)(247, 629)(248, 487)(249, 615)(250, 660)(251, 558)(252, 661)(253, 491)(254, 495)(255, 632)(256, 634)(257, 662)(258, 532)(259, 518)(260, 514)(261, 620)(262, 502)(263, 577)(264, 579)(265, 645)(266, 651)(267, 627)(268, 562)(269, 659)(270, 510)(271, 569)(272, 623)(273, 513)(274, 667)(275, 520)(276, 668)(277, 655)(278, 519)(279, 529)(280, 522)(281, 647)(282, 641)(283, 526)(284, 635)(285, 654)(286, 578)(287, 528)(288, 585)(289, 608)(290, 588)(291, 593)(292, 648)(293, 605)(294, 534)(295, 652)(296, 537)(297, 626)(298, 658)(299, 664)(300, 622)(301, 653)(302, 548)(303, 613)(304, 618)(305, 547)(306, 656)(307, 551)(308, 649)(309, 595)(310, 554)(311, 616)(312, 594)(313, 646)(314, 564)(315, 611)(316, 643)(317, 576)(318, 619)(319, 666)(320, 586)(321, 665)(322, 663)(323, 583)(324, 642)(325, 633)(326, 603)(327, 592)(328, 597)(329, 600)(330, 639)(331, 612)(332, 610)(333, 671)(334, 672)(335, 670)(336, 669)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1722
Transitivity :: ET+ VT+ AT
Graph::
	v = 42 e = 336 f = 252
	degree seq :: [ 16^42 ]

E22.1732 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T1^-1 * T2 * T1 * T2)^3, (T1^2 * T2 * T1)^3, T2 * T1^2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1^2 * T2 * T1^-3)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 337, 3, 339)(2, 338, 6, 342)(4, 340, 9, 345)(5, 341, 12, 348)(7, 343, 16, 352)(8, 344, 17, 353)(10, 346, 21, 357)(11, 347, 24, 360)(13, 349, 28, 364)(14, 350, 29, 365)(15, 351, 32, 368)(18, 354, 36, 372)(19, 355, 39, 375)(20, 356, 33, 369)(22, 358, 43, 379)(23, 359, 44, 380)(25, 361, 48, 384)(26, 362, 49, 385)(27, 363, 52, 388)(30, 366, 55, 391)(31, 367, 58, 394)(34, 370, 62, 398)(35, 371, 65, 401)(37, 373, 68, 404)(38, 374, 70, 406)(40, 376, 73, 409)(41, 377, 76, 412)(42, 378, 71, 407)(45, 381, 83, 419)(46, 382, 84, 420)(47, 383, 87, 423)(50, 386, 90, 426)(51, 387, 93, 429)(53, 389, 96, 432)(54, 390, 99, 435)(56, 392, 102, 438)(57, 393, 103, 439)(59, 395, 107, 443)(60, 396, 108, 444)(61, 397, 111, 447)(63, 399, 112, 448)(64, 400, 115, 451)(66, 402, 119, 455)(67, 403, 116, 452)(69, 405, 123, 459)(72, 408, 117, 453)(74, 410, 86, 422)(75, 411, 131, 467)(77, 413, 134, 470)(78, 414, 136, 472)(79, 415, 132, 468)(80, 416, 138, 474)(81, 417, 139, 475)(82, 418, 141, 477)(85, 421, 144, 480)(88, 424, 149, 485)(89, 425, 152, 488)(91, 427, 155, 491)(92, 428, 156, 492)(94, 430, 159, 495)(95, 431, 160, 496)(97, 433, 162, 498)(98, 434, 165, 501)(100, 436, 168, 504)(101, 437, 166, 502)(104, 440, 173, 509)(105, 441, 174, 510)(106, 442, 151, 487)(109, 445, 167, 503)(110, 446, 177, 513)(113, 449, 180, 516)(114, 450, 181, 517)(118, 454, 153, 489)(120, 456, 186, 522)(121, 457, 187, 523)(122, 458, 188, 524)(124, 460, 184, 520)(125, 461, 161, 497)(126, 462, 190, 526)(127, 463, 169, 505)(128, 464, 148, 484)(129, 465, 178, 514)(130, 466, 145, 481)(133, 469, 179, 515)(135, 471, 185, 521)(137, 473, 196, 532)(140, 476, 199, 535)(142, 478, 201, 537)(143, 479, 204, 540)(146, 482, 206, 542)(147, 483, 208, 544)(150, 486, 209, 545)(154, 490, 212, 548)(157, 493, 215, 551)(158, 494, 203, 539)(163, 499, 217, 553)(164, 500, 218, 554)(170, 506, 220, 556)(171, 507, 222, 558)(172, 508, 223, 559)(175, 511, 227, 563)(176, 512, 229, 565)(182, 518, 232, 568)(183, 519, 235, 571)(189, 525, 242, 578)(191, 527, 245, 581)(192, 528, 246, 582)(193, 529, 248, 584)(194, 530, 243, 579)(195, 531, 244, 580)(197, 533, 251, 587)(198, 534, 254, 590)(200, 536, 257, 593)(202, 538, 258, 594)(205, 541, 261, 597)(207, 543, 253, 589)(210, 546, 265, 601)(211, 547, 266, 602)(213, 549, 269, 605)(214, 550, 270, 606)(216, 552, 273, 609)(219, 555, 277, 613)(221, 557, 267, 603)(224, 560, 281, 617)(225, 561, 282, 618)(226, 562, 263, 599)(228, 564, 284, 620)(230, 566, 287, 623)(231, 567, 283, 619)(233, 569, 288, 624)(234, 570, 274, 610)(236, 572, 271, 607)(237, 573, 290, 626)(238, 574, 272, 608)(239, 575, 278, 614)(240, 576, 262, 598)(241, 577, 292, 628)(247, 583, 256, 592)(249, 585, 252, 588)(250, 586, 295, 631)(255, 591, 298, 634)(259, 595, 300, 636)(260, 596, 301, 637)(264, 600, 304, 640)(268, 604, 302, 638)(275, 611, 310, 646)(276, 612, 305, 641)(279, 615, 299, 635)(280, 616, 312, 648)(285, 621, 315, 651)(286, 622, 316, 652)(289, 625, 317, 653)(291, 627, 311, 647)(293, 629, 309, 645)(294, 630, 314, 650)(296, 632, 320, 656)(297, 633, 321, 657)(303, 639, 322, 658)(306, 642, 326, 662)(307, 643, 323, 659)(308, 644, 319, 655)(313, 649, 328, 664)(318, 654, 330, 666)(324, 660, 334, 670)(325, 661, 331, 667)(327, 663, 335, 671)(329, 665, 333, 669)(332, 668, 336, 672)
	L = (1, 338)(2, 341)(3, 343)(4, 337)(5, 347)(6, 349)(7, 351)(8, 339)(9, 355)(10, 340)(11, 359)(12, 361)(13, 363)(14, 342)(15, 367)(16, 369)(17, 371)(18, 344)(19, 374)(20, 345)(21, 377)(22, 346)(23, 358)(24, 381)(25, 383)(26, 348)(27, 387)(28, 353)(29, 390)(30, 350)(31, 393)(32, 395)(33, 397)(34, 352)(35, 400)(36, 402)(37, 354)(38, 405)(39, 407)(40, 356)(41, 411)(42, 357)(43, 414)(44, 416)(45, 418)(46, 360)(47, 422)(48, 365)(49, 425)(50, 362)(51, 428)(52, 430)(53, 364)(54, 434)(55, 436)(56, 366)(57, 373)(58, 440)(59, 442)(60, 368)(61, 446)(62, 435)(63, 370)(64, 450)(65, 452)(66, 454)(67, 372)(68, 457)(69, 458)(70, 460)(71, 462)(72, 375)(73, 464)(74, 376)(75, 466)(76, 468)(77, 378)(78, 471)(79, 379)(80, 473)(81, 380)(82, 404)(83, 385)(84, 479)(85, 382)(86, 482)(87, 483)(88, 384)(89, 487)(90, 489)(91, 386)(92, 392)(93, 413)(94, 494)(95, 388)(96, 488)(97, 389)(98, 500)(99, 502)(100, 503)(101, 391)(102, 506)(103, 507)(104, 415)(105, 394)(106, 498)(107, 398)(108, 484)(109, 396)(110, 512)(111, 514)(112, 490)(113, 399)(114, 499)(115, 505)(116, 519)(117, 401)(118, 521)(119, 477)(120, 403)(121, 481)(122, 410)(123, 476)(124, 501)(125, 406)(126, 525)(127, 408)(128, 504)(129, 409)(130, 493)(131, 518)(132, 529)(133, 412)(134, 496)(135, 491)(136, 475)(137, 438)(138, 420)(139, 534)(140, 417)(141, 536)(142, 419)(143, 539)(144, 445)(145, 421)(146, 427)(147, 543)(148, 423)(149, 540)(150, 424)(151, 547)(152, 548)(153, 461)(154, 426)(155, 441)(156, 549)(157, 429)(158, 545)(159, 432)(160, 455)(161, 431)(162, 541)(163, 433)(164, 546)(165, 448)(166, 555)(167, 467)(168, 532)(169, 437)(170, 459)(171, 557)(172, 439)(173, 444)(174, 562)(175, 443)(176, 449)(177, 456)(178, 567)(179, 447)(180, 569)(181, 560)(182, 451)(183, 570)(184, 453)(185, 566)(186, 469)(187, 559)(188, 575)(189, 577)(190, 579)(191, 463)(192, 465)(193, 583)(194, 470)(195, 472)(196, 586)(197, 474)(198, 589)(199, 497)(200, 592)(201, 590)(202, 478)(203, 596)(204, 597)(205, 480)(206, 598)(207, 594)(208, 485)(209, 591)(210, 486)(211, 595)(212, 603)(213, 604)(214, 492)(215, 608)(216, 495)(217, 611)(218, 607)(219, 612)(220, 606)(221, 516)(222, 510)(223, 616)(224, 508)(225, 509)(226, 619)(227, 599)(228, 511)(229, 621)(230, 513)(231, 620)(232, 515)(233, 517)(234, 625)(235, 626)(236, 520)(237, 522)(238, 523)(239, 613)(240, 524)(241, 527)(242, 528)(243, 629)(244, 526)(245, 622)(246, 531)(247, 627)(248, 618)(249, 530)(250, 578)(251, 584)(252, 533)(253, 633)(254, 634)(255, 535)(256, 585)(257, 537)(258, 561)(259, 538)(260, 632)(261, 638)(262, 639)(263, 542)(264, 544)(265, 642)(266, 563)(267, 643)(268, 553)(269, 551)(270, 645)(271, 550)(272, 571)(273, 574)(274, 552)(275, 554)(276, 564)(277, 581)(278, 556)(279, 558)(280, 636)(281, 568)(282, 648)(283, 650)(284, 649)(285, 576)(286, 565)(287, 580)(288, 652)(289, 572)(290, 654)(291, 573)(292, 644)(293, 653)(294, 582)(295, 587)(296, 588)(297, 630)(298, 658)(299, 593)(300, 660)(301, 609)(302, 661)(303, 601)(304, 614)(305, 600)(306, 602)(307, 610)(308, 605)(309, 656)(310, 624)(311, 615)(312, 664)(313, 617)(314, 663)(315, 623)(316, 666)(317, 665)(318, 628)(319, 631)(320, 668)(321, 640)(322, 669)(323, 635)(324, 637)(325, 641)(326, 646)(327, 647)(328, 667)(329, 651)(330, 671)(331, 655)(332, 657)(333, 659)(334, 662)(335, 672)(336, 670)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1724
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 336 f = 126
	degree seq :: [ 4^168 ]

E22.1733 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^3, (T2 * T1^2 * T2 * T1^3)^2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 337, 3, 339)(2, 338, 6, 342)(4, 340, 9, 345)(5, 341, 12, 348)(7, 343, 16, 352)(8, 344, 17, 353)(10, 346, 21, 357)(11, 347, 24, 360)(13, 349, 28, 364)(14, 350, 29, 365)(15, 351, 32, 368)(18, 354, 36, 372)(19, 355, 39, 375)(20, 356, 33, 369)(22, 358, 43, 379)(23, 359, 44, 380)(25, 361, 48, 384)(26, 362, 49, 385)(27, 363, 52, 388)(30, 366, 55, 391)(31, 367, 58, 394)(34, 370, 62, 398)(35, 371, 65, 401)(37, 373, 68, 404)(38, 374, 70, 406)(40, 376, 73, 409)(41, 377, 76, 412)(42, 378, 71, 407)(45, 381, 83, 419)(46, 382, 84, 420)(47, 383, 87, 423)(50, 386, 90, 426)(51, 387, 93, 429)(53, 389, 96, 432)(54, 390, 99, 435)(56, 392, 102, 438)(57, 393, 103, 439)(59, 395, 107, 443)(60, 396, 108, 444)(61, 397, 111, 447)(63, 399, 113, 449)(64, 400, 116, 452)(66, 402, 120, 456)(67, 403, 117, 453)(69, 405, 125, 461)(72, 408, 129, 465)(74, 410, 133, 469)(75, 411, 135, 471)(77, 413, 138, 474)(78, 414, 141, 477)(79, 415, 136, 472)(80, 416, 144, 480)(81, 417, 145, 481)(82, 418, 148, 484)(85, 421, 151, 487)(86, 422, 154, 490)(88, 424, 157, 493)(89, 425, 160, 496)(91, 427, 163, 499)(92, 428, 164, 500)(94, 430, 168, 504)(95, 431, 169, 505)(97, 433, 172, 508)(98, 434, 175, 511)(100, 436, 179, 515)(101, 437, 176, 512)(104, 440, 185, 521)(105, 441, 186, 522)(106, 442, 189, 525)(109, 445, 192, 528)(110, 446, 195, 531)(112, 448, 147, 483)(114, 450, 174, 510)(115, 451, 200, 536)(118, 454, 204, 540)(119, 455, 207, 543)(121, 457, 210, 546)(122, 458, 150, 486)(123, 459, 208, 544)(124, 460, 212, 548)(126, 462, 215, 551)(127, 463, 216, 552)(128, 464, 219, 555)(130, 466, 220, 556)(131, 467, 222, 558)(132, 468, 196, 532)(134, 470, 224, 560)(137, 473, 166, 502)(139, 475, 177, 513)(140, 476, 231, 567)(142, 478, 188, 524)(143, 479, 233, 569)(146, 482, 236, 572)(149, 485, 240, 576)(152, 488, 245, 581)(153, 489, 246, 582)(155, 491, 247, 583)(156, 492, 248, 584)(158, 494, 251, 587)(159, 495, 254, 590)(161, 497, 257, 593)(162, 498, 255, 591)(165, 501, 263, 599)(167, 503, 265, 601)(170, 506, 268, 604)(171, 507, 232, 568)(173, 509, 253, 589)(178, 514, 276, 612)(180, 516, 279, 615)(181, 517, 235, 571)(182, 518, 277, 613)(183, 519, 282, 618)(184, 520, 242, 578)(187, 523, 258, 594)(190, 526, 285, 621)(191, 527, 270, 606)(193, 529, 249, 585)(194, 530, 286, 622)(197, 533, 237, 573)(198, 534, 273, 609)(199, 535, 238, 574)(201, 537, 292, 628)(202, 538, 278, 614)(203, 539, 294, 630)(205, 541, 295, 631)(206, 542, 269, 605)(209, 545, 287, 623)(211, 547, 244, 580)(213, 549, 234, 570)(214, 550, 280, 616)(217, 553, 256, 592)(218, 554, 290, 626)(221, 557, 275, 611)(223, 559, 272, 608)(225, 561, 264, 600)(226, 562, 293, 629)(227, 563, 259, 595)(228, 564, 261, 597)(229, 565, 283, 619)(230, 566, 250, 586)(239, 575, 305, 641)(241, 577, 306, 642)(243, 579, 309, 645)(252, 588, 308, 644)(260, 596, 316, 652)(262, 598, 303, 639)(266, 602, 317, 653)(267, 603, 314, 650)(271, 607, 300, 636)(274, 610, 318, 654)(281, 617, 319, 655)(284, 620, 322, 658)(288, 624, 326, 662)(289, 625, 327, 663)(291, 627, 320, 656)(296, 632, 325, 661)(297, 633, 323, 659)(298, 634, 302, 638)(299, 635, 311, 647)(301, 637, 328, 664)(304, 640, 331, 667)(307, 643, 330, 666)(310, 646, 334, 670)(312, 648, 335, 671)(313, 649, 333, 669)(315, 651, 336, 672)(321, 657, 332, 668)(324, 660, 329, 665)
	L = (1, 338)(2, 341)(3, 343)(4, 337)(5, 347)(6, 349)(7, 351)(8, 339)(9, 355)(10, 340)(11, 359)(12, 361)(13, 363)(14, 342)(15, 367)(16, 369)(17, 371)(18, 344)(19, 374)(20, 345)(21, 377)(22, 346)(23, 358)(24, 381)(25, 383)(26, 348)(27, 387)(28, 353)(29, 390)(30, 350)(31, 393)(32, 395)(33, 397)(34, 352)(35, 400)(36, 402)(37, 354)(38, 405)(39, 407)(40, 356)(41, 411)(42, 357)(43, 414)(44, 416)(45, 418)(46, 360)(47, 422)(48, 365)(49, 425)(50, 362)(51, 428)(52, 430)(53, 364)(54, 434)(55, 436)(56, 366)(57, 373)(58, 440)(59, 442)(60, 368)(61, 446)(62, 448)(63, 370)(64, 451)(65, 453)(66, 455)(67, 372)(68, 458)(69, 460)(70, 462)(71, 464)(72, 375)(73, 467)(74, 376)(75, 470)(76, 472)(77, 378)(78, 476)(79, 379)(80, 479)(81, 380)(82, 483)(83, 385)(84, 486)(85, 382)(86, 489)(87, 491)(88, 384)(89, 495)(90, 497)(91, 386)(92, 392)(93, 501)(94, 503)(95, 388)(96, 507)(97, 389)(98, 510)(99, 512)(100, 514)(101, 391)(102, 517)(103, 519)(104, 513)(105, 394)(106, 524)(107, 398)(108, 527)(109, 396)(110, 530)(111, 532)(112, 518)(113, 534)(114, 399)(115, 509)(116, 537)(117, 539)(118, 401)(119, 542)(120, 544)(121, 403)(122, 547)(123, 404)(124, 410)(125, 541)(126, 550)(127, 406)(128, 554)(129, 490)(130, 408)(131, 557)(132, 409)(133, 496)(134, 559)(135, 561)(136, 563)(137, 412)(138, 565)(139, 413)(140, 566)(141, 481)(142, 415)(143, 568)(144, 420)(145, 571)(146, 417)(147, 574)(148, 457)(149, 419)(150, 578)(151, 579)(152, 421)(153, 427)(154, 459)(155, 468)(156, 423)(157, 586)(158, 424)(159, 589)(160, 591)(161, 592)(162, 426)(163, 595)(164, 597)(165, 469)(166, 429)(167, 474)(168, 432)(169, 603)(170, 431)(171, 596)(172, 606)(173, 433)(174, 588)(175, 608)(176, 610)(177, 435)(178, 611)(179, 613)(180, 437)(181, 616)(182, 438)(183, 617)(184, 439)(185, 444)(186, 477)(187, 441)(188, 620)(189, 602)(190, 443)(191, 590)(192, 612)(193, 445)(194, 450)(195, 607)(196, 624)(197, 447)(198, 593)(199, 449)(200, 466)(201, 587)(202, 452)(203, 615)(204, 478)(205, 454)(206, 575)(207, 632)(208, 584)(209, 456)(210, 576)(211, 633)(212, 634)(213, 461)(214, 572)(215, 465)(216, 609)(217, 463)(218, 627)(219, 601)(220, 614)(221, 585)(222, 599)(223, 475)(224, 625)(225, 580)(226, 471)(227, 635)(228, 473)(229, 605)(230, 628)(231, 594)(232, 636)(233, 516)(234, 480)(235, 639)(236, 640)(237, 482)(238, 488)(239, 484)(240, 560)(241, 485)(242, 644)(243, 528)(244, 487)(245, 555)(246, 556)(247, 493)(248, 649)(249, 492)(250, 646)(251, 650)(252, 494)(253, 643)(254, 548)(255, 651)(256, 543)(257, 652)(258, 498)(259, 525)(260, 499)(261, 545)(262, 500)(263, 505)(264, 502)(265, 648)(266, 504)(267, 520)(268, 553)(269, 506)(270, 645)(271, 508)(272, 642)(273, 511)(274, 523)(275, 637)(276, 562)(277, 641)(278, 515)(279, 549)(280, 526)(281, 558)(282, 522)(283, 521)(284, 529)(285, 659)(286, 564)(287, 531)(288, 546)(289, 533)(290, 535)(291, 536)(292, 540)(293, 538)(294, 662)(295, 552)(296, 567)(297, 551)(298, 657)(299, 660)(300, 573)(301, 569)(302, 570)(303, 666)(304, 604)(305, 668)(306, 669)(307, 577)(308, 665)(309, 670)(310, 581)(311, 582)(312, 583)(313, 598)(314, 667)(315, 600)(316, 664)(317, 621)(318, 630)(319, 626)(320, 618)(321, 619)(322, 631)(323, 672)(324, 622)(325, 623)(326, 671)(327, 629)(328, 655)(329, 638)(330, 656)(331, 663)(332, 647)(333, 658)(334, 661)(335, 653)(336, 654)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1725
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 336 f = 126
	degree seq :: [ 4^168 ]

E22.1734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^8, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 10, 346)(6, 342, 12, 348)(8, 344, 15, 351)(11, 347, 20, 356)(13, 349, 23, 359)(14, 350, 25, 361)(16, 352, 28, 364)(17, 353, 30, 366)(18, 354, 31, 367)(19, 355, 33, 369)(21, 357, 36, 372)(22, 358, 38, 374)(24, 360, 41, 377)(26, 362, 44, 380)(27, 363, 46, 382)(29, 365, 49, 385)(32, 368, 54, 390)(34, 370, 57, 393)(35, 371, 59, 395)(37, 373, 62, 398)(39, 375, 65, 401)(40, 376, 67, 403)(42, 378, 70, 406)(43, 379, 72, 408)(45, 381, 75, 411)(47, 383, 78, 414)(48, 384, 80, 416)(50, 386, 83, 419)(51, 387, 85, 421)(52, 388, 86, 422)(53, 389, 88, 424)(55, 391, 91, 427)(56, 392, 93, 429)(58, 394, 96, 432)(60, 396, 99, 435)(61, 397, 101, 437)(63, 399, 104, 440)(64, 400, 106, 442)(66, 402, 109, 445)(68, 404, 112, 448)(69, 405, 114, 450)(71, 407, 117, 453)(73, 409, 120, 456)(74, 410, 122, 458)(76, 412, 125, 461)(77, 413, 127, 463)(79, 415, 130, 466)(81, 417, 133, 469)(82, 418, 135, 471)(84, 420, 138, 474)(87, 423, 143, 479)(89, 425, 146, 482)(90, 426, 148, 484)(92, 428, 151, 487)(94, 430, 154, 490)(95, 431, 156, 492)(97, 433, 159, 495)(98, 434, 161, 497)(100, 436, 164, 500)(102, 438, 167, 503)(103, 439, 169, 505)(105, 441, 172, 508)(107, 443, 174, 510)(108, 444, 176, 512)(110, 446, 179, 515)(111, 447, 181, 517)(113, 449, 158, 494)(115, 451, 186, 522)(116, 452, 188, 524)(118, 454, 191, 527)(119, 455, 193, 529)(121, 457, 160, 496)(123, 459, 168, 504)(124, 460, 147, 483)(126, 462, 155, 491)(128, 464, 203, 539)(129, 465, 205, 541)(131, 467, 206, 542)(132, 468, 208, 544)(134, 470, 157, 493)(136, 472, 209, 545)(137, 473, 211, 547)(139, 475, 212, 548)(140, 476, 141, 477)(142, 478, 215, 551)(144, 480, 201, 537)(145, 481, 218, 554)(149, 485, 192, 528)(150, 486, 177, 513)(152, 488, 225, 561)(153, 489, 226, 562)(162, 498, 234, 570)(163, 499, 235, 571)(165, 501, 182, 518)(166, 502, 204, 540)(170, 506, 237, 573)(171, 507, 195, 531)(173, 509, 239, 575)(175, 511, 241, 577)(178, 514, 243, 579)(180, 516, 245, 581)(183, 519, 248, 584)(184, 520, 249, 585)(185, 521, 250, 586)(187, 523, 251, 587)(189, 525, 252, 588)(190, 526, 253, 589)(194, 530, 256, 592)(196, 532, 258, 594)(197, 533, 260, 596)(198, 534, 230, 566)(199, 535, 261, 597)(200, 536, 263, 599)(202, 538, 265, 601)(207, 543, 268, 604)(210, 546, 271, 607)(213, 549, 274, 610)(214, 550, 275, 611)(216, 552, 277, 613)(217, 553, 278, 614)(219, 555, 281, 617)(220, 556, 282, 618)(221, 557, 283, 619)(222, 558, 284, 620)(223, 559, 285, 621)(224, 560, 286, 622)(227, 563, 289, 625)(228, 564, 290, 626)(229, 565, 292, 628)(231, 567, 293, 629)(232, 568, 295, 631)(233, 569, 296, 632)(236, 572, 299, 635)(238, 574, 302, 638)(240, 576, 304, 640)(242, 578, 306, 642)(244, 580, 264, 600)(246, 582, 287, 623)(247, 583, 311, 647)(254, 590, 279, 615)(255, 591, 317, 653)(257, 593, 272, 608)(259, 595, 291, 627)(262, 598, 294, 630)(266, 602, 320, 656)(267, 603, 301, 637)(269, 605, 321, 657)(270, 606, 298, 634)(273, 609, 322, 658)(276, 612, 310, 646)(280, 616, 313, 649)(288, 624, 316, 652)(297, 633, 305, 641)(300, 636, 307, 643)(303, 639, 315, 651)(308, 644, 329, 665)(309, 645, 326, 662)(312, 648, 330, 666)(314, 650, 324, 660)(318, 654, 331, 667)(319, 655, 332, 668)(323, 659, 333, 669)(325, 661, 334, 670)(327, 663, 335, 671)(328, 664, 336, 672)(673, 1009, 675, 1011, 680, 1016, 676, 1012)(674, 1010, 677, 1013, 683, 1019, 678, 1014)(679, 1015, 685, 1021, 696, 1032, 686, 1022)(681, 1017, 688, 1024, 701, 1037, 689, 1025)(682, 1018, 690, 1026, 704, 1040, 691, 1027)(684, 1020, 693, 1029, 709, 1045, 694, 1030)(687, 1023, 698, 1034, 717, 1053, 699, 1035)(692, 1028, 706, 1042, 730, 1066, 707, 1043)(695, 1031, 711, 1047, 738, 1074, 712, 1048)(697, 1033, 714, 1050, 743, 1079, 715, 1051)(700, 1036, 719, 1055, 751, 1087, 720, 1056)(702, 1038, 722, 1058, 756, 1092, 723, 1059)(703, 1039, 724, 1060, 759, 1095, 725, 1061)(705, 1041, 727, 1063, 764, 1100, 728, 1064)(708, 1044, 732, 1068, 772, 1108, 733, 1069)(710, 1046, 735, 1071, 777, 1113, 736, 1072)(713, 1049, 740, 1076, 785, 1121, 741, 1077)(716, 1052, 745, 1081, 793, 1129, 746, 1082)(718, 1054, 748, 1084, 798, 1134, 749, 1085)(721, 1057, 753, 1089, 806, 1142, 754, 1090)(726, 1062, 761, 1097, 819, 1155, 762, 1098)(729, 1065, 766, 1102, 827, 1163, 767, 1103)(731, 1067, 769, 1105, 832, 1168, 770, 1106)(734, 1070, 774, 1110, 840, 1176, 775, 1111)(737, 1073, 779, 1115, 847, 1183, 780, 1116)(739, 1075, 782, 1118, 852, 1188, 783, 1119)(742, 1078, 787, 1123, 859, 1195, 788, 1124)(744, 1080, 790, 1126, 864, 1200, 791, 1127)(747, 1083, 795, 1131, 870, 1206, 796, 1132)(750, 1086, 800, 1136, 876, 1212, 801, 1137)(752, 1088, 803, 1139, 879, 1215, 804, 1140)(755, 1091, 808, 1144, 882, 1218, 809, 1145)(757, 1093, 811, 1147, 885, 1221, 812, 1148)(758, 1094, 813, 1149, 886, 1222, 814, 1150)(760, 1096, 816, 1152, 889, 1225, 817, 1153)(763, 1099, 821, 1157, 894, 1230, 822, 1158)(765, 1101, 824, 1160, 858, 1194, 825, 1161)(768, 1104, 829, 1165, 902, 1238, 830, 1166)(771, 1107, 834, 1170, 880, 1216, 835, 1171)(773, 1109, 837, 1173, 908, 1244, 838, 1174)(776, 1112, 842, 1178, 910, 1246, 843, 1179)(778, 1114, 845, 1181, 912, 1248, 846, 1182)(781, 1117, 849, 1185, 807, 1143, 850, 1186)(784, 1120, 854, 1190, 810, 1146, 855, 1191)(786, 1122, 856, 1192, 802, 1138, 857, 1193)(789, 1125, 861, 1197, 805, 1141, 862, 1198)(792, 1128, 866, 1202, 929, 1265, 867, 1203)(794, 1130, 868, 1204, 931, 1267, 869, 1205)(797, 1133, 871, 1207, 934, 1270, 872, 1208)(799, 1135, 873, 1209, 936, 1272, 874, 1210)(815, 1151, 860, 1196, 841, 1177, 888, 1224)(818, 1154, 878, 1214, 844, 1180, 891, 1227)(820, 1156, 892, 1228, 836, 1172, 893, 1229)(823, 1159, 895, 1231, 839, 1175, 896, 1232)(826, 1162, 899, 1235, 944, 1280, 883, 1219)(828, 1164, 900, 1236, 963, 1299, 901, 1237)(831, 1167, 903, 1239, 966, 1302, 904, 1240)(833, 1169, 851, 1187, 916, 1252, 905, 1241)(848, 1184, 884, 1220, 945, 1281, 914, 1250)(853, 1189, 918, 1254, 933, 1269, 919, 1255)(863, 1199, 926, 1262, 939, 1275, 877, 1213)(865, 1201, 927, 1263, 990, 1326, 928, 1264)(875, 1211, 937, 1273, 991, 1327, 938, 1274)(881, 1217, 941, 1277, 932, 1268, 942, 1278)(887, 1223, 911, 1247, 975, 1311, 948, 1284)(890, 1226, 951, 1287, 965, 1301, 952, 1288)(897, 1233, 959, 1295, 970, 1306, 907, 1243)(898, 1234, 960, 1296, 999, 1335, 961, 1297)(906, 1242, 968, 1304, 1000, 1336, 969, 1305)(909, 1245, 972, 1308, 964, 1300, 973, 1309)(913, 1249, 935, 1271, 925, 1261, 977, 1313)(915, 1251, 979, 1315, 923, 1259, 980, 1316)(917, 1253, 981, 1317, 924, 1260, 982, 1318)(920, 1256, 984, 1320, 940, 1276, 985, 1321)(921, 1257, 986, 1322, 943, 1279, 987, 1323)(922, 1258, 930, 1266, 946, 1282, 988, 1324)(947, 1283, 967, 1303, 958, 1294, 992, 1328)(949, 1285, 993, 1329, 956, 1292, 995, 1331)(950, 1286, 996, 1332, 957, 1293, 978, 1314)(953, 1289, 997, 1333, 971, 1307, 983, 1319)(954, 1290, 998, 1334, 974, 1310, 994, 1330)(955, 1291, 962, 1298, 976, 1312, 989, 1325)(1001, 1337, 1002, 1338, 1003, 1339, 1004, 1340)(1005, 1341, 1006, 1342, 1007, 1343, 1008, 1344)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 682)(6, 684)(7, 675)(8, 687)(9, 676)(10, 677)(11, 692)(12, 678)(13, 695)(14, 697)(15, 680)(16, 700)(17, 702)(18, 703)(19, 705)(20, 683)(21, 708)(22, 710)(23, 685)(24, 713)(25, 686)(26, 716)(27, 718)(28, 688)(29, 721)(30, 689)(31, 690)(32, 726)(33, 691)(34, 729)(35, 731)(36, 693)(37, 734)(38, 694)(39, 737)(40, 739)(41, 696)(42, 742)(43, 744)(44, 698)(45, 747)(46, 699)(47, 750)(48, 752)(49, 701)(50, 755)(51, 757)(52, 758)(53, 760)(54, 704)(55, 763)(56, 765)(57, 706)(58, 768)(59, 707)(60, 771)(61, 773)(62, 709)(63, 776)(64, 778)(65, 711)(66, 781)(67, 712)(68, 784)(69, 786)(70, 714)(71, 789)(72, 715)(73, 792)(74, 794)(75, 717)(76, 797)(77, 799)(78, 719)(79, 802)(80, 720)(81, 805)(82, 807)(83, 722)(84, 810)(85, 723)(86, 724)(87, 815)(88, 725)(89, 818)(90, 820)(91, 727)(92, 823)(93, 728)(94, 826)(95, 828)(96, 730)(97, 831)(98, 833)(99, 732)(100, 836)(101, 733)(102, 839)(103, 841)(104, 735)(105, 844)(106, 736)(107, 846)(108, 848)(109, 738)(110, 851)(111, 853)(112, 740)(113, 830)(114, 741)(115, 858)(116, 860)(117, 743)(118, 863)(119, 865)(120, 745)(121, 832)(122, 746)(123, 840)(124, 819)(125, 748)(126, 827)(127, 749)(128, 875)(129, 877)(130, 751)(131, 878)(132, 880)(133, 753)(134, 829)(135, 754)(136, 881)(137, 883)(138, 756)(139, 884)(140, 813)(141, 812)(142, 887)(143, 759)(144, 873)(145, 890)(146, 761)(147, 796)(148, 762)(149, 864)(150, 849)(151, 764)(152, 897)(153, 898)(154, 766)(155, 798)(156, 767)(157, 806)(158, 785)(159, 769)(160, 793)(161, 770)(162, 906)(163, 907)(164, 772)(165, 854)(166, 876)(167, 774)(168, 795)(169, 775)(170, 909)(171, 867)(172, 777)(173, 911)(174, 779)(175, 913)(176, 780)(177, 822)(178, 915)(179, 782)(180, 917)(181, 783)(182, 837)(183, 920)(184, 921)(185, 922)(186, 787)(187, 923)(188, 788)(189, 924)(190, 925)(191, 790)(192, 821)(193, 791)(194, 928)(195, 843)(196, 930)(197, 932)(198, 902)(199, 933)(200, 935)(201, 816)(202, 937)(203, 800)(204, 838)(205, 801)(206, 803)(207, 940)(208, 804)(209, 808)(210, 943)(211, 809)(212, 811)(213, 946)(214, 947)(215, 814)(216, 949)(217, 950)(218, 817)(219, 953)(220, 954)(221, 955)(222, 956)(223, 957)(224, 958)(225, 824)(226, 825)(227, 961)(228, 962)(229, 964)(230, 870)(231, 965)(232, 967)(233, 968)(234, 834)(235, 835)(236, 971)(237, 842)(238, 974)(239, 845)(240, 976)(241, 847)(242, 978)(243, 850)(244, 936)(245, 852)(246, 959)(247, 983)(248, 855)(249, 856)(250, 857)(251, 859)(252, 861)(253, 862)(254, 951)(255, 989)(256, 866)(257, 944)(258, 868)(259, 963)(260, 869)(261, 871)(262, 966)(263, 872)(264, 916)(265, 874)(266, 992)(267, 973)(268, 879)(269, 993)(270, 970)(271, 882)(272, 929)(273, 994)(274, 885)(275, 886)(276, 982)(277, 888)(278, 889)(279, 926)(280, 985)(281, 891)(282, 892)(283, 893)(284, 894)(285, 895)(286, 896)(287, 918)(288, 988)(289, 899)(290, 900)(291, 931)(292, 901)(293, 903)(294, 934)(295, 904)(296, 905)(297, 977)(298, 942)(299, 908)(300, 979)(301, 939)(302, 910)(303, 987)(304, 912)(305, 969)(306, 914)(307, 972)(308, 1001)(309, 998)(310, 948)(311, 919)(312, 1002)(313, 952)(314, 996)(315, 975)(316, 960)(317, 927)(318, 1003)(319, 1004)(320, 938)(321, 941)(322, 945)(323, 1005)(324, 986)(325, 1006)(326, 981)(327, 1007)(328, 1008)(329, 980)(330, 984)(331, 990)(332, 991)(333, 995)(334, 997)(335, 999)(336, 1000)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1740
Graph:: bipartite
	v = 252 e = 672 f = 378
	degree seq :: [ 4^168, 8^84 ]

E22.1735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^3, (Y1 * Y2^-2 * Y1 * Y2^-1)^3, (Y3 * Y2^-1)^8, (Y2 * Y1)^8, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 10, 346)(6, 342, 12, 348)(8, 344, 15, 351)(11, 347, 20, 356)(13, 349, 23, 359)(14, 350, 25, 361)(16, 352, 28, 364)(17, 353, 30, 366)(18, 354, 31, 367)(19, 355, 33, 369)(21, 357, 36, 372)(22, 358, 38, 374)(24, 360, 41, 377)(26, 362, 44, 380)(27, 363, 46, 382)(29, 365, 49, 385)(32, 368, 54, 390)(34, 370, 57, 393)(35, 371, 59, 395)(37, 373, 62, 398)(39, 375, 65, 401)(40, 376, 67, 403)(42, 378, 55, 391)(43, 379, 71, 407)(45, 381, 74, 410)(47, 383, 77, 413)(48, 384, 61, 397)(50, 386, 81, 417)(51, 387, 83, 419)(52, 388, 84, 420)(53, 389, 86, 422)(56, 392, 90, 426)(58, 394, 93, 429)(60, 396, 96, 432)(63, 399, 100, 436)(64, 400, 102, 438)(66, 402, 105, 441)(68, 404, 108, 444)(69, 405, 110, 446)(70, 406, 111, 447)(72, 408, 114, 450)(73, 409, 116, 452)(75, 411, 106, 442)(76, 412, 120, 456)(78, 414, 123, 459)(79, 415, 124, 460)(80, 416, 126, 462)(82, 418, 128, 464)(85, 421, 133, 469)(87, 423, 119, 455)(88, 424, 137, 473)(89, 425, 138, 474)(91, 427, 141, 477)(92, 428, 142, 478)(94, 430, 134, 470)(95, 431, 145, 481)(97, 433, 148, 484)(98, 434, 149, 485)(99, 435, 115, 451)(101, 437, 152, 488)(103, 439, 154, 490)(104, 440, 156, 492)(107, 443, 159, 495)(109, 445, 160, 496)(112, 448, 164, 500)(113, 449, 166, 502)(117, 453, 170, 506)(118, 454, 172, 508)(121, 457, 175, 511)(122, 458, 177, 513)(125, 461, 181, 517)(127, 463, 182, 518)(129, 465, 184, 520)(130, 466, 131, 467)(132, 468, 187, 523)(135, 471, 189, 525)(136, 472, 190, 526)(139, 475, 158, 494)(140, 476, 195, 531)(143, 479, 198, 534)(144, 480, 200, 536)(146, 482, 203, 539)(147, 483, 169, 505)(150, 486, 208, 544)(151, 487, 209, 545)(153, 489, 211, 547)(155, 491, 213, 549)(157, 493, 216, 552)(161, 497, 214, 550)(162, 498, 220, 556)(163, 499, 221, 557)(165, 501, 222, 558)(167, 503, 224, 560)(168, 504, 226, 562)(171, 507, 227, 563)(173, 509, 228, 564)(174, 510, 230, 566)(176, 512, 232, 568)(178, 514, 233, 569)(179, 515, 234, 570)(180, 516, 235, 571)(183, 519, 239, 575)(185, 521, 241, 577)(186, 522, 242, 578)(188, 524, 245, 581)(191, 527, 243, 579)(192, 528, 249, 585)(193, 529, 250, 586)(194, 530, 251, 587)(196, 532, 253, 589)(197, 533, 255, 591)(199, 535, 256, 592)(201, 537, 257, 593)(202, 538, 259, 595)(204, 540, 261, 597)(205, 541, 262, 598)(206, 542, 263, 599)(207, 543, 264, 600)(210, 546, 268, 604)(212, 548, 270, 606)(215, 551, 246, 582)(217, 553, 244, 580)(218, 554, 274, 610)(219, 555, 276, 612)(223, 559, 260, 596)(225, 561, 283, 619)(229, 565, 286, 622)(231, 567, 252, 588)(236, 572, 293, 629)(237, 573, 295, 631)(238, 574, 269, 605)(240, 576, 267, 603)(247, 583, 302, 638)(248, 584, 304, 640)(254, 590, 311, 647)(258, 594, 314, 650)(265, 601, 321, 657)(266, 602, 323, 659)(271, 607, 325, 661)(272, 608, 326, 662)(273, 609, 301, 637)(275, 611, 313, 649)(277, 613, 316, 652)(278, 614, 307, 643)(279, 615, 306, 642)(280, 616, 315, 651)(281, 617, 320, 656)(282, 618, 317, 653)(284, 620, 322, 658)(285, 621, 303, 639)(287, 623, 308, 644)(288, 624, 305, 641)(289, 625, 310, 646)(290, 626, 319, 655)(291, 627, 318, 654)(292, 628, 309, 645)(294, 630, 312, 648)(296, 632, 324, 660)(297, 633, 299, 635)(298, 634, 300, 636)(327, 663, 335, 671)(328, 664, 336, 672)(329, 665, 334, 670)(330, 666, 332, 668)(331, 667, 333, 669)(673, 1009, 675, 1011, 680, 1016, 676, 1012)(674, 1010, 677, 1013, 683, 1019, 678, 1014)(679, 1015, 685, 1021, 696, 1032, 686, 1022)(681, 1017, 688, 1024, 701, 1037, 689, 1025)(682, 1018, 690, 1026, 704, 1040, 691, 1027)(684, 1020, 693, 1029, 709, 1045, 694, 1030)(687, 1023, 698, 1034, 717, 1053, 699, 1035)(692, 1028, 706, 1042, 730, 1066, 707, 1043)(695, 1031, 711, 1047, 738, 1074, 712, 1048)(697, 1033, 714, 1050, 742, 1078, 715, 1051)(700, 1036, 719, 1055, 750, 1086, 720, 1056)(702, 1038, 722, 1058, 754, 1090, 723, 1059)(703, 1039, 724, 1060, 757, 1093, 725, 1061)(705, 1041, 727, 1063, 761, 1097, 728, 1064)(708, 1044, 732, 1068, 769, 1105, 733, 1069)(710, 1046, 735, 1071, 773, 1109, 736, 1072)(713, 1049, 740, 1076, 781, 1117, 741, 1077)(716, 1052, 744, 1080, 787, 1123, 745, 1081)(718, 1054, 747, 1083, 791, 1127, 748, 1084)(721, 1057, 751, 1087, 797, 1133, 752, 1088)(726, 1062, 759, 1095, 808, 1144, 760, 1096)(729, 1065, 763, 1099, 798, 1134, 764, 1100)(731, 1067, 766, 1102, 780, 1116, 767, 1103)(734, 1070, 770, 1106, 822, 1158, 771, 1107)(737, 1073, 775, 1111, 827, 1163, 776, 1112)(739, 1075, 778, 1114, 830, 1166, 779, 1115)(743, 1079, 784, 1120, 837, 1173, 785, 1121)(746, 1082, 789, 1125, 843, 1179, 790, 1126)(749, 1085, 793, 1129, 848, 1184, 794, 1130)(753, 1089, 799, 1135, 841, 1177, 788, 1124)(755, 1091, 801, 1137, 857, 1193, 802, 1138)(756, 1092, 803, 1139, 858, 1194, 804, 1140)(758, 1094, 806, 1142, 836, 1172, 807, 1143)(762, 1098, 811, 1147, 866, 1202, 812, 1148)(765, 1101, 815, 1151, 871, 1207, 816, 1152)(768, 1104, 818, 1154, 876, 1212, 819, 1155)(772, 1108, 823, 1159, 849, 1185, 814, 1150)(774, 1110, 825, 1161, 884, 1220, 826, 1162)(777, 1113, 800, 1136, 855, 1191, 829, 1165)(782, 1118, 833, 1169, 842, 1178, 834, 1170)(783, 1119, 835, 1171, 850, 1186, 795, 1131)(786, 1122, 839, 1175, 897, 1233, 840, 1176)(792, 1128, 845, 1181, 901, 1237, 846, 1182)(796, 1132, 851, 1187, 844, 1180, 852, 1188)(805, 1141, 824, 1160, 882, 1218, 860, 1196)(809, 1145, 863, 1199, 870, 1206, 864, 1200)(810, 1146, 865, 1201, 877, 1213, 820, 1156)(813, 1149, 868, 1204, 926, 1262, 869, 1205)(817, 1153, 873, 1209, 930, 1266, 874, 1210)(821, 1157, 878, 1214, 872, 1208, 879, 1215)(828, 1164, 886, 1222, 900, 1236, 887, 1223)(831, 1167, 854, 1190, 910, 1246, 889, 1225)(832, 1168, 890, 1226, 947, 1283, 891, 1227)(838, 1174, 895, 1231, 954, 1290, 896, 1232)(847, 1183, 902, 1238, 959, 1295, 903, 1239)(853, 1189, 908, 1244, 966, 1302, 909, 1245)(856, 1192, 912, 1248, 898, 1234, 907, 1243)(859, 1195, 915, 1251, 929, 1265, 916, 1252)(861, 1197, 881, 1217, 939, 1275, 918, 1254)(862, 1198, 919, 1255, 975, 1311, 920, 1256)(867, 1203, 924, 1260, 982, 1318, 925, 1261)(875, 1211, 931, 1267, 987, 1323, 932, 1268)(880, 1216, 937, 1273, 994, 1330, 938, 1274)(883, 1219, 941, 1277, 927, 1263, 936, 1272)(885, 1221, 894, 1230, 953, 1289, 943, 1279)(888, 1224, 944, 1280, 946, 1282, 945, 1281)(892, 1228, 949, 1285, 999, 1335, 950, 1286)(893, 1229, 951, 1287, 948, 1284, 952, 1288)(899, 1235, 956, 1292, 1001, 1337, 957, 1293)(904, 1240, 913, 1249, 970, 1306, 960, 1296)(905, 1241, 961, 1297, 965, 1301, 962, 1298)(906, 1242, 963, 1299, 1003, 1339, 964, 1300)(911, 1247, 968, 1304, 967, 1303, 969, 1305)(914, 1250, 923, 1259, 981, 1317, 971, 1307)(917, 1253, 972, 1308, 974, 1310, 973, 1309)(921, 1257, 977, 1313, 1004, 1340, 978, 1314)(922, 1258, 979, 1315, 976, 1312, 980, 1316)(928, 1264, 984, 1320, 1006, 1342, 985, 1321)(933, 1269, 942, 1278, 998, 1334, 988, 1324)(934, 1270, 989, 1325, 993, 1329, 990, 1326)(935, 1271, 991, 1327, 1008, 1344, 992, 1328)(940, 1276, 996, 1332, 995, 1331, 997, 1333)(955, 1291, 958, 1294, 1002, 1338, 1000, 1336)(983, 1319, 986, 1322, 1007, 1343, 1005, 1341)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 682)(6, 684)(7, 675)(8, 687)(9, 676)(10, 677)(11, 692)(12, 678)(13, 695)(14, 697)(15, 680)(16, 700)(17, 702)(18, 703)(19, 705)(20, 683)(21, 708)(22, 710)(23, 685)(24, 713)(25, 686)(26, 716)(27, 718)(28, 688)(29, 721)(30, 689)(31, 690)(32, 726)(33, 691)(34, 729)(35, 731)(36, 693)(37, 734)(38, 694)(39, 737)(40, 739)(41, 696)(42, 727)(43, 743)(44, 698)(45, 746)(46, 699)(47, 749)(48, 733)(49, 701)(50, 753)(51, 755)(52, 756)(53, 758)(54, 704)(55, 714)(56, 762)(57, 706)(58, 765)(59, 707)(60, 768)(61, 720)(62, 709)(63, 772)(64, 774)(65, 711)(66, 777)(67, 712)(68, 780)(69, 782)(70, 783)(71, 715)(72, 786)(73, 788)(74, 717)(75, 778)(76, 792)(77, 719)(78, 795)(79, 796)(80, 798)(81, 722)(82, 800)(83, 723)(84, 724)(85, 805)(86, 725)(87, 791)(88, 809)(89, 810)(90, 728)(91, 813)(92, 814)(93, 730)(94, 806)(95, 817)(96, 732)(97, 820)(98, 821)(99, 787)(100, 735)(101, 824)(102, 736)(103, 826)(104, 828)(105, 738)(106, 747)(107, 831)(108, 740)(109, 832)(110, 741)(111, 742)(112, 836)(113, 838)(114, 744)(115, 771)(116, 745)(117, 842)(118, 844)(119, 759)(120, 748)(121, 847)(122, 849)(123, 750)(124, 751)(125, 853)(126, 752)(127, 854)(128, 754)(129, 856)(130, 803)(131, 802)(132, 859)(133, 757)(134, 766)(135, 861)(136, 862)(137, 760)(138, 761)(139, 830)(140, 867)(141, 763)(142, 764)(143, 870)(144, 872)(145, 767)(146, 875)(147, 841)(148, 769)(149, 770)(150, 880)(151, 881)(152, 773)(153, 883)(154, 775)(155, 885)(156, 776)(157, 888)(158, 811)(159, 779)(160, 781)(161, 886)(162, 892)(163, 893)(164, 784)(165, 894)(166, 785)(167, 896)(168, 898)(169, 819)(170, 789)(171, 899)(172, 790)(173, 900)(174, 902)(175, 793)(176, 904)(177, 794)(178, 905)(179, 906)(180, 907)(181, 797)(182, 799)(183, 911)(184, 801)(185, 913)(186, 914)(187, 804)(188, 917)(189, 807)(190, 808)(191, 915)(192, 921)(193, 922)(194, 923)(195, 812)(196, 925)(197, 927)(198, 815)(199, 928)(200, 816)(201, 929)(202, 931)(203, 818)(204, 933)(205, 934)(206, 935)(207, 936)(208, 822)(209, 823)(210, 940)(211, 825)(212, 942)(213, 827)(214, 833)(215, 918)(216, 829)(217, 916)(218, 946)(219, 948)(220, 834)(221, 835)(222, 837)(223, 932)(224, 839)(225, 955)(226, 840)(227, 843)(228, 845)(229, 958)(230, 846)(231, 924)(232, 848)(233, 850)(234, 851)(235, 852)(236, 965)(237, 967)(238, 941)(239, 855)(240, 939)(241, 857)(242, 858)(243, 863)(244, 889)(245, 860)(246, 887)(247, 974)(248, 976)(249, 864)(250, 865)(251, 866)(252, 903)(253, 868)(254, 983)(255, 869)(256, 871)(257, 873)(258, 986)(259, 874)(260, 895)(261, 876)(262, 877)(263, 878)(264, 879)(265, 993)(266, 995)(267, 912)(268, 882)(269, 910)(270, 884)(271, 997)(272, 998)(273, 973)(274, 890)(275, 985)(276, 891)(277, 988)(278, 979)(279, 978)(280, 987)(281, 992)(282, 989)(283, 897)(284, 994)(285, 975)(286, 901)(287, 980)(288, 977)(289, 982)(290, 991)(291, 990)(292, 981)(293, 908)(294, 984)(295, 909)(296, 996)(297, 971)(298, 972)(299, 969)(300, 970)(301, 945)(302, 919)(303, 957)(304, 920)(305, 960)(306, 951)(307, 950)(308, 959)(309, 964)(310, 961)(311, 926)(312, 966)(313, 947)(314, 930)(315, 952)(316, 949)(317, 954)(318, 963)(319, 962)(320, 953)(321, 937)(322, 956)(323, 938)(324, 968)(325, 943)(326, 944)(327, 1007)(328, 1008)(329, 1006)(330, 1004)(331, 1005)(332, 1002)(333, 1003)(334, 1001)(335, 999)(336, 1000)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1741
Graph:: bipartite
	v = 252 e = 672 f = 378
	degree seq :: [ 4^168, 8^84 ]

E22.1736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, Y1^4, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^8, (Y2^-2 * Y1)^3, Y1^-1 * Y2^2 * Y1^2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-2 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 337, 2, 338, 6, 342, 4, 340)(3, 339, 9, 345, 21, 357, 11, 347)(5, 341, 13, 349, 18, 354, 7, 343)(8, 344, 19, 355, 34, 370, 15, 351)(10, 346, 23, 359, 49, 385, 25, 361)(12, 348, 16, 352, 35, 371, 28, 364)(14, 350, 31, 367, 62, 398, 29, 365)(17, 353, 37, 373, 76, 412, 39, 375)(20, 356, 43, 379, 85, 421, 41, 377)(22, 358, 47, 383, 91, 427, 45, 381)(24, 360, 51, 387, 102, 438, 53, 389)(26, 362, 46, 382, 92, 428, 56, 392)(27, 363, 57, 393, 111, 447, 59, 395)(30, 366, 63, 399, 83, 419, 40, 376)(32, 368, 67, 403, 125, 461, 65, 401)(33, 369, 68, 404, 128, 464, 70, 406)(36, 372, 74, 410, 136, 472, 72, 408)(38, 374, 78, 414, 145, 481, 80, 416)(42, 378, 86, 422, 134, 470, 71, 407)(44, 380, 89, 425, 160, 496, 88, 424)(48, 384, 96, 432, 168, 504, 94, 430)(50, 386, 100, 436, 135, 471, 98, 434)(52, 388, 104, 440, 182, 518, 105, 441)(54, 390, 99, 435, 172, 508, 107, 443)(55, 391, 108, 444, 121, 457, 64, 400)(58, 394, 113, 449, 192, 528, 114, 450)(60, 396, 73, 409, 137, 473, 116, 452)(61, 397, 117, 453, 129, 465, 119, 455)(66, 402, 126, 462, 203, 539, 120, 456)(69, 405, 130, 466, 215, 551, 132, 468)(75, 411, 140, 476, 225, 561, 139, 475)(77, 413, 143, 479, 90, 426, 141, 477)(79, 415, 147, 483, 231, 567, 148, 484)(81, 417, 142, 478, 226, 562, 149, 485)(82, 418, 150, 486, 156, 492, 87, 423)(84, 420, 153, 489, 112, 448, 155, 491)(93, 429, 115, 451, 195, 531, 164, 500)(95, 431, 169, 505, 249, 585, 163, 499)(97, 433, 171, 507, 257, 593, 170, 506)(101, 437, 176, 512, 154, 490, 174, 510)(103, 439, 180, 516, 250, 586, 178, 514)(106, 442, 179, 515, 263, 599, 185, 521)(109, 445, 123, 459, 207, 543, 188, 524)(110, 446, 165, 501, 251, 587, 190, 526)(118, 454, 198, 534, 191, 527, 200, 536)(122, 458, 205, 541, 238, 574, 152, 488)(124, 460, 208, 544, 235, 571, 210, 546)(127, 463, 213, 549, 287, 623, 211, 547)(131, 467, 216, 552, 289, 625, 217, 553)(133, 469, 218, 554, 222, 558, 138, 474)(144, 480, 228, 564, 221, 557, 175, 511)(146, 482, 167, 503, 204, 540, 187, 523)(151, 487, 158, 494, 242, 578, 236, 572)(157, 493, 240, 576, 294, 630, 220, 556)(159, 495, 243, 579, 274, 610, 193, 529)(161, 497, 245, 581, 312, 648, 244, 580)(162, 498, 201, 537, 214, 550, 247, 583)(166, 502, 253, 589, 277, 613, 196, 532)(173, 509, 189, 525, 271, 607, 259, 595)(177, 513, 262, 598, 303, 639, 232, 568)(181, 517, 209, 545, 254, 590, 230, 566)(183, 519, 267, 603, 321, 657, 265, 601)(184, 520, 266, 602, 308, 644, 239, 575)(186, 522, 260, 596, 309, 645, 241, 577)(194, 530, 275, 611, 327, 663, 276, 612)(197, 533, 223, 559, 296, 632, 279, 615)(199, 535, 256, 592, 319, 655, 280, 616)(202, 538, 281, 617, 284, 620, 206, 542)(212, 548, 278, 614, 329, 665, 283, 619)(219, 555, 224, 560, 298, 634, 292, 628)(227, 563, 237, 573, 305, 641, 299, 635)(229, 565, 302, 638, 331, 667, 290, 626)(233, 569, 304, 640, 322, 658, 295, 631)(234, 570, 300, 636, 335, 671, 297, 633)(246, 582, 291, 627, 332, 668, 313, 649)(248, 584, 314, 650, 316, 652, 252, 588)(255, 591, 293, 629, 333, 669, 315, 651)(258, 594, 288, 624, 330, 666, 320, 656)(261, 597, 311, 647, 326, 662, 272, 608)(264, 600, 269, 605, 286, 622, 323, 659)(268, 604, 324, 660, 328, 664, 282, 618)(270, 606, 285, 621, 310, 646, 325, 661)(273, 609, 317, 653, 334, 670, 307, 643)(301, 637, 318, 654, 336, 672, 306, 642)(673, 1009, 675, 1011, 682, 1018, 696, 1032, 724, 1060, 704, 1040, 686, 1022, 677, 1013)(674, 1010, 679, 1015, 689, 1025, 710, 1046, 751, 1087, 716, 1052, 692, 1028, 680, 1016)(676, 1012, 684, 1020, 699, 1035, 730, 1066, 769, 1105, 720, 1056, 694, 1030, 681, 1017)(678, 1014, 687, 1023, 705, 1041, 741, 1077, 803, 1139, 747, 1083, 708, 1044, 688, 1024)(683, 1019, 698, 1034, 727, 1063, 781, 1117, 849, 1185, 773, 1109, 722, 1058, 695, 1031)(685, 1021, 701, 1037, 733, 1069, 790, 1126, 871, 1207, 795, 1131, 736, 1072, 702, 1038)(690, 1026, 712, 1048, 754, 1090, 823, 1159, 901, 1237, 816, 1152, 749, 1085, 709, 1045)(691, 1027, 713, 1049, 756, 1092, 826, 1162, 911, 1247, 830, 1166, 759, 1095, 714, 1050)(693, 1029, 717, 1053, 762, 1098, 834, 1170, 918, 1254, 838, 1174, 765, 1101, 718, 1054)(697, 1033, 726, 1062, 715, 1051, 760, 1096, 831, 1167, 853, 1189, 775, 1111, 723, 1059)(700, 1036, 732, 1068, 787, 1123, 868, 1204, 939, 1275, 863, 1199, 784, 1120, 729, 1065)(703, 1039, 737, 1073, 796, 1132, 881, 1217, 865, 1201, 785, 1121, 731, 1067, 738, 1074)(706, 1042, 743, 1079, 805, 1141, 891, 1227, 960, 1296, 886, 1222, 801, 1137, 740, 1076)(707, 1043, 744, 1080, 807, 1143, 893, 1229, 967, 1303, 896, 1232, 810, 1146, 745, 1081)(711, 1047, 753, 1089, 746, 1082, 811, 1147, 852, 1188, 902, 1238, 818, 1154, 750, 1086)(719, 1055, 766, 1102, 839, 1175, 926, 1262, 882, 1218, 802, 1138, 742, 1078, 767, 1103)(721, 1057, 770, 1106, 808, 1144, 821, 1157, 906, 1242, 933, 1269, 845, 1181, 771, 1107)(725, 1061, 778, 1114, 768, 1104, 842, 1178, 928, 1264, 872, 1208, 855, 1191, 776, 1112)(728, 1064, 782, 1118, 861, 1197, 944, 1280, 885, 1221, 817, 1153, 859, 1195, 780, 1116)(734, 1070, 792, 1128, 874, 1210, 954, 1290, 927, 1263, 841, 1177, 800, 1136, 789, 1125)(735, 1071, 793, 1129, 876, 1212, 840, 1176, 857, 1193, 940, 1276, 878, 1214, 794, 1130)(739, 1075, 777, 1113, 856, 1192, 848, 1184, 904, 1240, 819, 1155, 752, 1088, 799, 1135)(748, 1084, 813, 1149, 763, 1099, 835, 1171, 920, 1256, 973, 1309, 899, 1235, 814, 1150)(755, 1091, 824, 1160, 909, 1245, 978, 1314, 917, 1253, 887, 1223, 907, 1243, 822, 1158)(757, 1093, 779, 1115, 858, 1194, 941, 1277, 884, 1220, 798, 1134, 783, 1119, 825, 1161)(758, 1094, 828, 1164, 880, 1216, 797, 1133, 883, 1219, 958, 1294, 913, 1249, 829, 1165)(761, 1097, 820, 1156, 905, 1241, 900, 1236, 962, 1298, 888, 1224, 804, 1140, 833, 1169)(764, 1100, 836, 1172, 922, 1258, 897, 1233, 948, 1284, 990, 1326, 924, 1260, 837, 1173)(772, 1108, 846, 1182, 827, 1163, 870, 1206, 791, 1127, 873, 1209, 815, 1151, 847, 1183)(774, 1110, 850, 1186, 867, 1203, 788, 1124, 869, 1205, 950, 1286, 936, 1272, 851, 1187)(786, 1122, 866, 1202, 812, 1148, 889, 1225, 963, 1299, 919, 1255, 930, 1266, 843, 1179)(806, 1142, 892, 1228, 965, 1301, 1000, 1336, 947, 1283, 864, 1200, 946, 1282, 890, 1226)(809, 1145, 894, 1230, 915, 1251, 832, 1168, 916, 1252, 983, 1319, 969, 1305, 895, 1231)(844, 1180, 931, 1267, 993, 1329, 949, 1285, 997, 1333, 970, 1306, 994, 1330, 932, 1268)(854, 1190, 937, 1273, 943, 1279, 862, 1198, 945, 1281, 877, 1213, 956, 1292, 938, 1274)(860, 1196, 942, 1278, 925, 1261, 985, 1321, 972, 1308, 898, 1234, 971, 1307, 934, 1270)(875, 1211, 955, 1291, 1002, 1338, 964, 1300, 982, 1318, 914, 1250, 980, 1316, 953, 1289)(879, 1215, 952, 1288, 986, 1322, 921, 1257, 987, 1323, 974, 1310, 908, 1244, 957, 1293)(903, 1239, 975, 1311, 977, 1313, 910, 1246, 979, 1315, 912, 1248, 981, 1317, 976, 1312)(923, 1259, 988, 1324, 991, 1327, 929, 1265, 992, 1328, 1001, 1337, 951, 1287, 989, 1325)(935, 1271, 995, 1331, 959, 1295, 998, 1334, 984, 1320, 1008, 1344, 999, 1335, 996, 1332)(961, 1297, 1003, 1339, 1005, 1341, 966, 1302, 1006, 1342, 968, 1304, 1007, 1343, 1004, 1340)
	L = (1, 675)(2, 679)(3, 682)(4, 684)(5, 673)(6, 687)(7, 689)(8, 674)(9, 676)(10, 696)(11, 698)(12, 699)(13, 701)(14, 677)(15, 705)(16, 678)(17, 710)(18, 712)(19, 713)(20, 680)(21, 717)(22, 681)(23, 683)(24, 724)(25, 726)(26, 727)(27, 730)(28, 732)(29, 733)(30, 685)(31, 737)(32, 686)(33, 741)(34, 743)(35, 744)(36, 688)(37, 690)(38, 751)(39, 753)(40, 754)(41, 756)(42, 691)(43, 760)(44, 692)(45, 762)(46, 693)(47, 766)(48, 694)(49, 770)(50, 695)(51, 697)(52, 704)(53, 778)(54, 715)(55, 781)(56, 782)(57, 700)(58, 769)(59, 738)(60, 787)(61, 790)(62, 792)(63, 793)(64, 702)(65, 796)(66, 703)(67, 777)(68, 706)(69, 803)(70, 767)(71, 805)(72, 807)(73, 707)(74, 811)(75, 708)(76, 813)(77, 709)(78, 711)(79, 716)(80, 799)(81, 746)(82, 823)(83, 824)(84, 826)(85, 779)(86, 828)(87, 714)(88, 831)(89, 820)(90, 834)(91, 835)(92, 836)(93, 718)(94, 839)(95, 719)(96, 842)(97, 720)(98, 808)(99, 721)(100, 846)(101, 722)(102, 850)(103, 723)(104, 725)(105, 856)(106, 768)(107, 858)(108, 728)(109, 849)(110, 861)(111, 825)(112, 729)(113, 731)(114, 866)(115, 868)(116, 869)(117, 734)(118, 871)(119, 873)(120, 874)(121, 876)(122, 735)(123, 736)(124, 881)(125, 883)(126, 783)(127, 739)(128, 789)(129, 740)(130, 742)(131, 747)(132, 833)(133, 891)(134, 892)(135, 893)(136, 821)(137, 894)(138, 745)(139, 852)(140, 889)(141, 763)(142, 748)(143, 847)(144, 749)(145, 859)(146, 750)(147, 752)(148, 905)(149, 906)(150, 755)(151, 901)(152, 909)(153, 757)(154, 911)(155, 870)(156, 880)(157, 758)(158, 759)(159, 853)(160, 916)(161, 761)(162, 918)(163, 920)(164, 922)(165, 764)(166, 765)(167, 926)(168, 857)(169, 800)(170, 928)(171, 786)(172, 931)(173, 771)(174, 827)(175, 772)(176, 904)(177, 773)(178, 867)(179, 774)(180, 902)(181, 775)(182, 937)(183, 776)(184, 848)(185, 940)(186, 941)(187, 780)(188, 942)(189, 944)(190, 945)(191, 784)(192, 946)(193, 785)(194, 812)(195, 788)(196, 939)(197, 950)(198, 791)(199, 795)(200, 855)(201, 815)(202, 954)(203, 955)(204, 840)(205, 956)(206, 794)(207, 952)(208, 797)(209, 865)(210, 802)(211, 958)(212, 798)(213, 817)(214, 801)(215, 907)(216, 804)(217, 963)(218, 806)(219, 960)(220, 965)(221, 967)(222, 915)(223, 809)(224, 810)(225, 948)(226, 971)(227, 814)(228, 962)(229, 816)(230, 818)(231, 975)(232, 819)(233, 900)(234, 933)(235, 822)(236, 957)(237, 978)(238, 979)(239, 830)(240, 981)(241, 829)(242, 980)(243, 832)(244, 983)(245, 887)(246, 838)(247, 930)(248, 973)(249, 987)(250, 897)(251, 988)(252, 837)(253, 985)(254, 882)(255, 841)(256, 872)(257, 992)(258, 843)(259, 993)(260, 844)(261, 845)(262, 860)(263, 995)(264, 851)(265, 943)(266, 854)(267, 863)(268, 878)(269, 884)(270, 925)(271, 862)(272, 885)(273, 877)(274, 890)(275, 864)(276, 990)(277, 997)(278, 936)(279, 989)(280, 986)(281, 875)(282, 927)(283, 1002)(284, 938)(285, 879)(286, 913)(287, 998)(288, 886)(289, 1003)(290, 888)(291, 919)(292, 982)(293, 1000)(294, 1006)(295, 896)(296, 1007)(297, 895)(298, 994)(299, 934)(300, 898)(301, 899)(302, 908)(303, 977)(304, 903)(305, 910)(306, 917)(307, 912)(308, 953)(309, 976)(310, 914)(311, 969)(312, 1008)(313, 972)(314, 921)(315, 974)(316, 991)(317, 923)(318, 924)(319, 929)(320, 1001)(321, 949)(322, 932)(323, 959)(324, 935)(325, 970)(326, 984)(327, 996)(328, 947)(329, 951)(330, 964)(331, 1005)(332, 961)(333, 966)(334, 968)(335, 1004)(336, 999)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 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 E22.1739
Graph:: bipartite
	v = 126 e = 672 f = 504
	degree seq :: [ 8^84, 16^42 ]

E22.1737 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y1 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y2^8, Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^2, (Y2 * Y1^-1 * Y2^2 * Y1^-1)^2, Y1^-2 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^4 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2 * Y1^-1 * Y2^4 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^3 ]
Map::
	R = (1, 337, 2, 338, 6, 342, 4, 340)(3, 339, 9, 345, 21, 357, 11, 347)(5, 341, 13, 349, 18, 354, 7, 343)(8, 344, 19, 355, 34, 370, 15, 351)(10, 346, 23, 359, 49, 385, 25, 361)(12, 348, 16, 352, 35, 371, 28, 364)(14, 350, 31, 367, 62, 398, 29, 365)(17, 353, 37, 373, 76, 412, 39, 375)(20, 356, 43, 379, 85, 421, 41, 377)(22, 358, 47, 383, 92, 428, 45, 381)(24, 360, 51, 387, 103, 439, 53, 389)(26, 362, 46, 382, 93, 429, 56, 392)(27, 363, 57, 393, 112, 448, 59, 395)(30, 366, 63, 399, 83, 419, 40, 376)(32, 368, 67, 403, 126, 462, 65, 401)(33, 369, 68, 404, 129, 465, 70, 406)(36, 372, 74, 410, 138, 474, 72, 408)(38, 374, 78, 414, 148, 484, 80, 416)(42, 378, 86, 422, 136, 472, 71, 407)(44, 380, 90, 426, 164, 500, 88, 424)(48, 384, 97, 433, 175, 511, 95, 431)(50, 386, 101, 437, 181, 517, 99, 435)(52, 388, 105, 441, 191, 527, 106, 442)(54, 390, 100, 436, 161, 497, 87, 423)(55, 391, 109, 445, 160, 496, 89, 425)(58, 394, 114, 450, 202, 538, 115, 451)(60, 396, 73, 409, 139, 475, 118, 454)(61, 397, 119, 455, 208, 544, 121, 457)(64, 400, 116, 452, 199, 535, 123, 459)(66, 402, 117, 453, 206, 542, 122, 458)(69, 405, 131, 467, 225, 561, 133, 469)(75, 411, 143, 479, 238, 574, 141, 477)(77, 413, 146, 482, 195, 531, 144, 480)(79, 415, 150, 486, 248, 584, 151, 487)(81, 417, 145, 481, 235, 571, 140, 476)(82, 418, 154, 490, 234, 570, 142, 478)(84, 420, 157, 493, 254, 590, 159, 495)(91, 427, 167, 503, 221, 557, 169, 505)(94, 430, 134, 470, 223, 559, 171, 507)(96, 432, 135, 471, 230, 566, 170, 506)(98, 434, 179, 515, 273, 609, 177, 513)(102, 438, 185, 521, 278, 614, 183, 519)(104, 440, 189, 525, 163, 499, 187, 523)(107, 443, 188, 524, 231, 567, 176, 512)(108, 444, 162, 498, 260, 596, 178, 514)(110, 446, 165, 501, 209, 545, 197, 533)(111, 447, 172, 508, 232, 568, 156, 492)(113, 449, 200, 536, 294, 630, 198, 534)(120, 456, 210, 546, 302, 638, 212, 548)(124, 460, 216, 552, 180, 516, 205, 541)(125, 461, 217, 553, 203, 539, 219, 555)(127, 463, 152, 488, 245, 581, 207, 543)(128, 464, 153, 489, 236, 572, 220, 556)(130, 466, 224, 560, 251, 587, 222, 558)(132, 468, 227, 563, 314, 650, 228, 564)(137, 473, 194, 530, 271, 607, 233, 569)(147, 483, 168, 504, 263, 599, 241, 577)(149, 485, 246, 582, 237, 573, 244, 580)(155, 491, 239, 575, 204, 540, 253, 589)(158, 494, 255, 591, 296, 632, 201, 537)(166, 502, 229, 565, 173, 509, 262, 598)(174, 510, 268, 604, 226, 562, 270, 606)(182, 518, 265, 601, 309, 645, 259, 595)(184, 520, 266, 602, 315, 651, 275, 611)(186, 522, 281, 617, 311, 647, 280, 616)(190, 526, 285, 621, 318, 654, 283, 619)(192, 528, 289, 625, 272, 608, 287, 623)(193, 529, 288, 624, 249, 585, 279, 615)(196, 532, 292, 628, 312, 648, 258, 594)(211, 547, 304, 640, 282, 618, 305, 641)(213, 549, 301, 637, 317, 653, 240, 576)(214, 550, 300, 636, 286, 622, 242, 578)(215, 551, 295, 631, 316, 652, 307, 643)(218, 554, 308, 644, 313, 649, 310, 646)(243, 579, 321, 657, 329, 665, 264, 600)(247, 583, 293, 629, 269, 605, 323, 659)(250, 586, 324, 660, 306, 642, 320, 656)(252, 588, 325, 661, 297, 633, 290, 626)(256, 592, 298, 634, 322, 658, 327, 663)(257, 593, 326, 662, 267, 603, 291, 627)(261, 597, 284, 620, 299, 635, 328, 664)(274, 610, 331, 667, 276, 612, 332, 668)(277, 613, 319, 655, 330, 666, 303, 639)(333, 669, 335, 671, 334, 670, 336, 672)(673, 1009, 675, 1011, 682, 1018, 696, 1032, 724, 1060, 704, 1040, 686, 1022, 677, 1013)(674, 1010, 679, 1015, 689, 1025, 710, 1046, 751, 1087, 716, 1052, 692, 1028, 680, 1016)(676, 1012, 684, 1020, 699, 1035, 730, 1066, 770, 1106, 720, 1056, 694, 1030, 681, 1017)(678, 1014, 687, 1023, 705, 1041, 741, 1077, 804, 1140, 747, 1083, 708, 1044, 688, 1024)(683, 1019, 698, 1034, 727, 1063, 782, 1118, 858, 1194, 774, 1110, 722, 1058, 695, 1031)(685, 1021, 701, 1037, 733, 1069, 792, 1128, 883, 1219, 796, 1132, 736, 1072, 702, 1038)(690, 1026, 712, 1048, 754, 1090, 827, 1163, 915, 1251, 819, 1155, 749, 1085, 709, 1045)(691, 1027, 713, 1049, 756, 1092, 830, 1166, 928, 1264, 834, 1170, 759, 1095, 714, 1050)(693, 1029, 717, 1053, 763, 1099, 840, 1176, 936, 1272, 845, 1181, 766, 1102, 718, 1054)(697, 1033, 726, 1062, 780, 1116, 867, 1203, 958, 1294, 862, 1198, 776, 1112, 723, 1059)(700, 1036, 732, 1068, 789, 1125, 879, 1215, 970, 1306, 873, 1209, 785, 1121, 729, 1065)(703, 1039, 737, 1073, 797, 1133, 890, 1226, 981, 1317, 893, 1229, 799, 1135, 738, 1074)(706, 1042, 743, 1079, 807, 1143, 903, 1239, 976, 1312, 884, 1220, 802, 1138, 740, 1076)(707, 1043, 744, 1080, 809, 1145, 857, 1193, 952, 1288, 908, 1244, 812, 1148, 745, 1081)(711, 1047, 753, 1089, 825, 1161, 923, 1259, 964, 1300, 919, 1255, 821, 1157, 750, 1086)(715, 1051, 760, 1096, 835, 1171, 933, 1269, 973, 1309, 880, 1216, 837, 1173, 761, 1097)(719, 1055, 767, 1103, 846, 1182, 941, 1277, 979, 1315, 943, 1279, 848, 1184, 768, 1104)(721, 1057, 771, 1107, 852, 1188, 815, 1151, 900, 1236, 948, 1284, 854, 1190, 772, 1108)(725, 1061, 779, 1115, 866, 1202, 810, 1146, 906, 1242, 962, 1298, 864, 1200, 777, 1113)(728, 1064, 783, 1119, 735, 1071, 795, 1131, 887, 1223, 965, 1301, 868, 1204, 781, 1117)(731, 1067, 788, 1124, 877, 1213, 853, 1189, 947, 1283, 971, 1307, 875, 1211, 786, 1122)(734, 1070, 794, 1130, 886, 1222, 978, 1314, 899, 1235, 805, 1141, 881, 1217, 791, 1127)(739, 1075, 778, 1114, 865, 1201, 963, 1299, 895, 1231, 801, 1137, 894, 1230, 800, 1136)(742, 1078, 806, 1142, 901, 1237, 966, 1302, 997, 1333, 985, 1321, 898, 1234, 803, 1139)(746, 1082, 813, 1149, 909, 1245, 990, 1326, 998, 1334, 926, 1262, 911, 1247, 814, 1150)(748, 1084, 816, 1152, 850, 1186, 769, 1105, 849, 1185, 944, 1280, 912, 1248, 817, 1153)(752, 1088, 824, 1160, 839, 1175, 764, 1100, 842, 1178, 938, 1274, 921, 1257, 822, 1158)(755, 1091, 828, 1164, 758, 1094, 833, 1169, 931, 1267, 982, 1318, 924, 1260, 826, 1162)(757, 1093, 832, 1168, 930, 1266, 946, 1282, 851, 1187, 787, 1123, 876, 1212, 829, 1165)(762, 1098, 823, 1159, 922, 1258, 967, 1303, 871, 1207, 784, 1120, 870, 1206, 838, 1174)(765, 1101, 843, 1179, 939, 1275, 957, 1293, 972, 1308, 878, 1214, 790, 1126, 844, 1180)(773, 1109, 855, 1191, 949, 1285, 927, 1263, 831, 1167, 929, 1265, 951, 1287, 856, 1192)(775, 1111, 859, 1195, 836, 1172, 934, 1270, 1001, 1337, 1006, 1342, 954, 1290, 860, 1196)(793, 1129, 885, 1221, 961, 1297, 969, 1305, 872, 1208, 968, 1304, 975, 1311, 882, 1218)(798, 1134, 892, 1228, 983, 1319, 1008, 1344, 993, 1329, 925, 1261, 874, 1210, 889, 1225)(808, 1144, 904, 1240, 811, 1147, 907, 1243, 989, 1325, 1000, 1336, 987, 1323, 902, 1238)(818, 1154, 913, 1249, 991, 1327, 950, 1286, 905, 1241, 988, 1324, 992, 1328, 914, 1250)(820, 1156, 916, 1252, 910, 1246, 888, 1224, 977, 1313, 1007, 1343, 994, 1330, 917, 1253)(841, 1177, 937, 1273, 1003, 1339, 984, 1320, 896, 1232, 974, 1310, 1002, 1338, 935, 1271)(847, 1183, 932, 1268, 999, 1335, 1005, 1341, 953, 1289, 869, 1205, 897, 1233, 940, 1276)(861, 1197, 955, 1291, 918, 1254, 995, 1331, 942, 1278, 980, 1316, 891, 1227, 956, 1292)(863, 1199, 959, 1295, 945, 1281, 1004, 1340, 986, 1322, 996, 1332, 920, 1256, 960, 1296)
	L = (1, 675)(2, 679)(3, 682)(4, 684)(5, 673)(6, 687)(7, 689)(8, 674)(9, 676)(10, 696)(11, 698)(12, 699)(13, 701)(14, 677)(15, 705)(16, 678)(17, 710)(18, 712)(19, 713)(20, 680)(21, 717)(22, 681)(23, 683)(24, 724)(25, 726)(26, 727)(27, 730)(28, 732)(29, 733)(30, 685)(31, 737)(32, 686)(33, 741)(34, 743)(35, 744)(36, 688)(37, 690)(38, 751)(39, 753)(40, 754)(41, 756)(42, 691)(43, 760)(44, 692)(45, 763)(46, 693)(47, 767)(48, 694)(49, 771)(50, 695)(51, 697)(52, 704)(53, 779)(54, 780)(55, 782)(56, 783)(57, 700)(58, 770)(59, 788)(60, 789)(61, 792)(62, 794)(63, 795)(64, 702)(65, 797)(66, 703)(67, 778)(68, 706)(69, 804)(70, 806)(71, 807)(72, 809)(73, 707)(74, 813)(75, 708)(76, 816)(77, 709)(78, 711)(79, 716)(80, 824)(81, 825)(82, 827)(83, 828)(84, 830)(85, 832)(86, 833)(87, 714)(88, 835)(89, 715)(90, 823)(91, 840)(92, 842)(93, 843)(94, 718)(95, 846)(96, 719)(97, 849)(98, 720)(99, 852)(100, 721)(101, 855)(102, 722)(103, 859)(104, 723)(105, 725)(106, 865)(107, 866)(108, 867)(109, 728)(110, 858)(111, 735)(112, 870)(113, 729)(114, 731)(115, 876)(116, 877)(117, 879)(118, 844)(119, 734)(120, 883)(121, 885)(122, 886)(123, 887)(124, 736)(125, 890)(126, 892)(127, 738)(128, 739)(129, 894)(130, 740)(131, 742)(132, 747)(133, 881)(134, 901)(135, 903)(136, 904)(137, 857)(138, 906)(139, 907)(140, 745)(141, 909)(142, 746)(143, 900)(144, 850)(145, 748)(146, 913)(147, 749)(148, 916)(149, 750)(150, 752)(151, 922)(152, 839)(153, 923)(154, 755)(155, 915)(156, 758)(157, 757)(158, 928)(159, 929)(160, 930)(161, 931)(162, 759)(163, 933)(164, 934)(165, 761)(166, 762)(167, 764)(168, 936)(169, 937)(170, 938)(171, 939)(172, 765)(173, 766)(174, 941)(175, 932)(176, 768)(177, 944)(178, 769)(179, 787)(180, 815)(181, 947)(182, 772)(183, 949)(184, 773)(185, 952)(186, 774)(187, 836)(188, 775)(189, 955)(190, 776)(191, 959)(192, 777)(193, 963)(194, 810)(195, 958)(196, 781)(197, 897)(198, 838)(199, 784)(200, 968)(201, 785)(202, 889)(203, 786)(204, 829)(205, 853)(206, 790)(207, 970)(208, 837)(209, 791)(210, 793)(211, 796)(212, 802)(213, 961)(214, 978)(215, 965)(216, 977)(217, 798)(218, 981)(219, 956)(220, 983)(221, 799)(222, 800)(223, 801)(224, 974)(225, 940)(226, 803)(227, 805)(228, 948)(229, 966)(230, 808)(231, 976)(232, 811)(233, 988)(234, 962)(235, 989)(236, 812)(237, 990)(238, 888)(239, 814)(240, 817)(241, 991)(242, 818)(243, 819)(244, 910)(245, 820)(246, 995)(247, 821)(248, 960)(249, 822)(250, 967)(251, 964)(252, 826)(253, 874)(254, 911)(255, 831)(256, 834)(257, 951)(258, 946)(259, 982)(260, 999)(261, 973)(262, 1001)(263, 841)(264, 845)(265, 1003)(266, 921)(267, 957)(268, 847)(269, 979)(270, 980)(271, 848)(272, 912)(273, 1004)(274, 851)(275, 971)(276, 854)(277, 927)(278, 905)(279, 856)(280, 908)(281, 869)(282, 860)(283, 918)(284, 861)(285, 972)(286, 862)(287, 945)(288, 863)(289, 969)(290, 864)(291, 895)(292, 919)(293, 868)(294, 997)(295, 871)(296, 975)(297, 872)(298, 873)(299, 875)(300, 878)(301, 880)(302, 1002)(303, 882)(304, 884)(305, 1007)(306, 899)(307, 943)(308, 891)(309, 893)(310, 924)(311, 1008)(312, 896)(313, 898)(314, 996)(315, 902)(316, 992)(317, 1000)(318, 998)(319, 950)(320, 914)(321, 925)(322, 917)(323, 942)(324, 920)(325, 985)(326, 926)(327, 1005)(328, 987)(329, 1006)(330, 935)(331, 984)(332, 986)(333, 953)(334, 954)(335, 994)(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) :: { ( 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 E22.1738
Graph:: bipartite
	v = 126 e = 672 f = 504
	degree seq :: [ 8^84, 16^42 ]

E22.1738 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3 * Y2)^4, Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3, Y3^-2 * Y2 * Y3^2 * Y2 * Y3^-3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y1^-1)^8 ]
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, 689, 1025)(682, 1018, 693, 1029)(684, 1020, 697, 1033)(686, 1022, 701, 1037)(687, 1023, 700, 1036)(688, 1024, 704, 1040)(690, 1026, 708, 1044)(691, 1027, 710, 1046)(692, 1028, 695, 1031)(694, 1030, 715, 1051)(696, 1032, 717, 1053)(698, 1034, 721, 1057)(699, 1035, 723, 1059)(702, 1038, 728, 1064)(703, 1039, 729, 1065)(705, 1041, 733, 1069)(706, 1042, 732, 1068)(707, 1043, 736, 1072)(709, 1045, 740, 1076)(711, 1047, 743, 1079)(712, 1048, 745, 1081)(713, 1049, 747, 1083)(714, 1050, 741, 1077)(716, 1052, 752, 1088)(718, 1054, 756, 1092)(719, 1055, 755, 1091)(720, 1056, 759, 1095)(722, 1058, 763, 1099)(724, 1060, 766, 1102)(725, 1061, 768, 1104)(726, 1062, 770, 1106)(727, 1063, 764, 1100)(730, 1066, 777, 1113)(731, 1067, 779, 1115)(734, 1070, 784, 1120)(735, 1071, 785, 1121)(737, 1073, 789, 1125)(738, 1074, 788, 1124)(739, 1075, 792, 1128)(742, 1078, 797, 1133)(744, 1080, 801, 1137)(746, 1082, 805, 1141)(748, 1084, 808, 1144)(749, 1085, 810, 1146)(750, 1086, 812, 1148)(751, 1087, 806, 1142)(753, 1089, 817, 1153)(754, 1090, 819, 1155)(757, 1093, 824, 1160)(758, 1094, 825, 1161)(760, 1096, 829, 1165)(761, 1097, 828, 1164)(762, 1098, 832, 1168)(765, 1101, 837, 1173)(767, 1103, 841, 1177)(769, 1105, 845, 1181)(771, 1107, 848, 1184)(772, 1108, 850, 1186)(773, 1109, 852, 1188)(774, 1110, 846, 1182)(775, 1111, 844, 1180)(776, 1112, 856, 1192)(778, 1114, 860, 1196)(780, 1116, 862, 1198)(781, 1117, 863, 1199)(782, 1118, 865, 1201)(783, 1119, 861, 1197)(786, 1122, 854, 1190)(787, 1123, 872, 1208)(790, 1126, 877, 1213)(791, 1127, 851, 1187)(793, 1129, 879, 1215)(794, 1130, 878, 1214)(795, 1131, 882, 1218)(796, 1132, 884, 1220)(798, 1134, 887, 1223)(799, 1135, 886, 1222)(800, 1136, 889, 1225)(802, 1138, 892, 1228)(803, 1139, 893, 1229)(804, 1140, 815, 1151)(807, 1143, 859, 1195)(809, 1145, 899, 1235)(811, 1147, 831, 1167)(813, 1149, 902, 1238)(814, 1150, 826, 1162)(816, 1152, 905, 1241)(818, 1154, 909, 1245)(820, 1156, 911, 1247)(821, 1157, 912, 1248)(822, 1158, 914, 1250)(823, 1159, 910, 1246)(827, 1163, 921, 1257)(830, 1166, 926, 1262)(833, 1169, 928, 1264)(834, 1170, 927, 1263)(835, 1171, 931, 1267)(836, 1172, 933, 1269)(838, 1174, 936, 1272)(839, 1175, 935, 1271)(840, 1176, 938, 1274)(842, 1178, 941, 1277)(843, 1179, 942, 1278)(847, 1183, 908, 1244)(849, 1185, 948, 1284)(853, 1189, 951, 1287)(855, 1191, 953, 1289)(857, 1193, 955, 1291)(858, 1194, 954, 1290)(864, 1200, 937, 1273)(866, 1202, 924, 1260)(867, 1203, 934, 1270)(868, 1204, 963, 1299)(869, 1205, 960, 1296)(870, 1206, 944, 1280)(871, 1207, 964, 1300)(873, 1209, 922, 1258)(874, 1210, 950, 1286)(875, 1211, 915, 1251)(876, 1212, 965, 1301)(880, 1216, 968, 1304)(881, 1217, 962, 1298)(883, 1219, 969, 1305)(885, 1221, 916, 1252)(888, 1224, 913, 1249)(890, 1226, 947, 1283)(891, 1227, 967, 1303)(894, 1230, 961, 1297)(895, 1231, 919, 1255)(896, 1232, 945, 1281)(897, 1233, 956, 1292)(898, 1234, 939, 1275)(900, 1236, 958, 1294)(901, 1237, 923, 1259)(903, 1239, 959, 1295)(904, 1240, 972, 1308)(906, 1242, 974, 1310)(907, 1243, 973, 1309)(917, 1253, 982, 1318)(918, 1254, 979, 1315)(920, 1256, 983, 1319)(925, 1261, 984, 1320)(929, 1265, 987, 1323)(930, 1266, 981, 1317)(932, 1268, 988, 1324)(940, 1276, 986, 1322)(943, 1279, 980, 1316)(946, 1282, 975, 1311)(949, 1285, 977, 1313)(952, 1288, 978, 1314)(957, 1293, 994, 1330)(966, 1302, 995, 1331)(970, 1306, 999, 1335)(971, 1307, 998, 1334)(976, 1312, 1003, 1339)(985, 1321, 1004, 1340)(989, 1325, 1008, 1344)(990, 1326, 1007, 1343)(991, 1327, 1000, 1336)(992, 1328, 1001, 1337)(993, 1329, 1005, 1341)(996, 1332, 1002, 1338)(997, 1333, 1006, 1342)
	L = (1, 675)(2, 677)(3, 680)(4, 673)(5, 684)(6, 674)(7, 687)(8, 690)(9, 691)(10, 676)(11, 695)(12, 698)(13, 699)(14, 678)(15, 703)(16, 679)(17, 706)(18, 709)(19, 711)(20, 681)(21, 713)(22, 682)(23, 716)(24, 683)(25, 719)(26, 722)(27, 724)(28, 685)(29, 726)(30, 686)(31, 730)(32, 731)(33, 688)(34, 735)(35, 689)(36, 738)(37, 694)(38, 741)(39, 744)(40, 692)(41, 748)(42, 693)(43, 750)(44, 753)(45, 754)(46, 696)(47, 758)(48, 697)(49, 761)(50, 702)(51, 764)(52, 767)(53, 700)(54, 771)(55, 701)(56, 773)(57, 775)(58, 778)(59, 780)(60, 704)(61, 782)(62, 705)(63, 786)(64, 787)(65, 707)(66, 791)(67, 708)(68, 794)(69, 796)(70, 710)(71, 799)(72, 802)(73, 803)(74, 712)(75, 806)(76, 809)(77, 714)(78, 813)(79, 715)(80, 815)(81, 818)(82, 820)(83, 717)(84, 822)(85, 718)(86, 826)(87, 827)(88, 720)(89, 831)(90, 721)(91, 834)(92, 836)(93, 723)(94, 839)(95, 842)(96, 843)(97, 725)(98, 846)(99, 849)(100, 727)(101, 853)(102, 728)(103, 855)(104, 729)(105, 858)(106, 734)(107, 861)(108, 824)(109, 732)(110, 866)(111, 733)(112, 868)(113, 869)(114, 871)(115, 873)(116, 736)(117, 875)(118, 737)(119, 819)(120, 852)(121, 739)(122, 881)(123, 740)(124, 885)(125, 854)(126, 742)(127, 888)(128, 743)(129, 838)(130, 746)(131, 894)(132, 745)(133, 872)(134, 895)(135, 747)(136, 897)(137, 900)(138, 901)(139, 749)(140, 882)(141, 903)(142, 751)(143, 904)(144, 752)(145, 907)(146, 757)(147, 910)(148, 784)(149, 755)(150, 915)(151, 756)(152, 917)(153, 918)(154, 920)(155, 922)(156, 759)(157, 924)(158, 760)(159, 779)(160, 812)(161, 762)(162, 930)(163, 763)(164, 934)(165, 814)(166, 765)(167, 937)(168, 766)(169, 798)(170, 769)(171, 943)(172, 768)(173, 921)(174, 944)(175, 770)(176, 946)(177, 949)(178, 950)(179, 772)(180, 931)(181, 952)(182, 774)(183, 810)(184, 932)(185, 776)(186, 805)(187, 777)(188, 945)(189, 929)(190, 958)(191, 959)(192, 781)(193, 911)(194, 961)(195, 783)(196, 913)(197, 804)(198, 785)(199, 790)(200, 965)(201, 941)(202, 788)(203, 947)(204, 789)(205, 919)(206, 792)(207, 925)(208, 793)(209, 942)(210, 963)(211, 795)(212, 953)(213, 940)(214, 797)(215, 938)(216, 969)(217, 914)(218, 800)(219, 801)(220, 970)(221, 954)(222, 926)(223, 971)(224, 807)(225, 951)(226, 808)(227, 906)(228, 811)(229, 948)(230, 928)(231, 935)(232, 850)(233, 883)(234, 816)(235, 845)(236, 817)(237, 896)(238, 880)(239, 977)(240, 978)(241, 821)(242, 862)(243, 980)(244, 823)(245, 864)(246, 844)(247, 825)(248, 830)(249, 984)(250, 892)(251, 828)(252, 898)(253, 829)(254, 870)(255, 832)(256, 876)(257, 833)(258, 893)(259, 982)(260, 835)(261, 972)(262, 891)(263, 837)(264, 889)(265, 988)(266, 865)(267, 840)(268, 841)(269, 989)(270, 973)(271, 877)(272, 990)(273, 847)(274, 902)(275, 848)(276, 857)(277, 851)(278, 899)(279, 879)(280, 886)(281, 991)(282, 856)(283, 890)(284, 859)(285, 860)(286, 995)(287, 996)(288, 863)(289, 997)(290, 867)(291, 994)(292, 887)(293, 993)(294, 874)(295, 878)(296, 884)(297, 992)(298, 985)(299, 976)(300, 1000)(301, 905)(302, 939)(303, 908)(304, 909)(305, 1004)(306, 1005)(307, 912)(308, 1006)(309, 916)(310, 1003)(311, 936)(312, 1002)(313, 923)(314, 927)(315, 933)(316, 1001)(317, 966)(318, 957)(319, 960)(320, 955)(321, 956)(322, 1008)(323, 1007)(324, 968)(325, 962)(326, 964)(327, 967)(328, 979)(329, 974)(330, 975)(331, 999)(332, 998)(333, 987)(334, 981)(335, 983)(336, 986)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1737
Graph:: simple bipartite
	v = 504 e = 672 f = 126
	degree seq :: [ 2^336, 4^168 ]

E22.1739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3^8, (Y3 * Y2 * Y3^2)^3, (Y3 * Y2 * Y3^-1 * Y2)^3, Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^8 ]
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, 689, 1025)(682, 1018, 693, 1029)(684, 1020, 697, 1033)(686, 1022, 701, 1037)(687, 1023, 700, 1036)(688, 1024, 704, 1040)(690, 1026, 708, 1044)(691, 1027, 710, 1046)(692, 1028, 695, 1031)(694, 1030, 715, 1051)(696, 1032, 717, 1053)(698, 1034, 721, 1057)(699, 1035, 723, 1059)(702, 1038, 728, 1064)(703, 1039, 729, 1065)(705, 1041, 733, 1069)(706, 1042, 732, 1068)(707, 1043, 736, 1072)(709, 1045, 740, 1076)(711, 1047, 743, 1079)(712, 1048, 745, 1081)(713, 1049, 747, 1083)(714, 1050, 741, 1077)(716, 1052, 752, 1088)(718, 1054, 756, 1092)(719, 1055, 755, 1091)(720, 1056, 759, 1095)(722, 1058, 763, 1099)(724, 1060, 766, 1102)(725, 1061, 768, 1104)(726, 1062, 770, 1106)(727, 1063, 764, 1100)(730, 1066, 777, 1113)(731, 1067, 754, 1090)(734, 1070, 783, 1119)(735, 1071, 784, 1120)(737, 1073, 788, 1124)(738, 1074, 787, 1123)(739, 1075, 790, 1126)(742, 1078, 765, 1101)(744, 1080, 798, 1134)(746, 1082, 785, 1121)(748, 1084, 804, 1140)(749, 1085, 806, 1142)(750, 1086, 807, 1143)(751, 1087, 802, 1138)(753, 1089, 811, 1147)(757, 1093, 817, 1153)(758, 1094, 818, 1154)(760, 1096, 822, 1158)(761, 1097, 821, 1157)(762, 1098, 824, 1160)(767, 1103, 832, 1168)(769, 1105, 819, 1155)(771, 1107, 838, 1174)(772, 1108, 840, 1176)(773, 1109, 841, 1177)(774, 1110, 836, 1172)(775, 1111, 835, 1171)(776, 1112, 837, 1173)(778, 1114, 846, 1182)(779, 1115, 816, 1152)(780, 1116, 848, 1184)(781, 1117, 850, 1186)(782, 1118, 813, 1149)(786, 1122, 834, 1170)(789, 1125, 825, 1161)(791, 1127, 823, 1159)(792, 1128, 857, 1193)(793, 1129, 858, 1194)(794, 1130, 860, 1196)(795, 1131, 830, 1166)(796, 1132, 829, 1165)(797, 1133, 844, 1180)(799, 1135, 863, 1199)(800, 1136, 820, 1156)(801, 1137, 809, 1145)(803, 1139, 810, 1146)(805, 1141, 842, 1178)(808, 1144, 839, 1175)(812, 1148, 871, 1207)(814, 1150, 873, 1209)(815, 1151, 875, 1211)(826, 1162, 882, 1218)(827, 1163, 883, 1219)(828, 1164, 885, 1221)(831, 1167, 869, 1205)(833, 1169, 888, 1224)(843, 1179, 893, 1229)(845, 1181, 896, 1232)(847, 1183, 899, 1235)(849, 1185, 894, 1230)(851, 1187, 904, 1240)(852, 1188, 903, 1239)(853, 1189, 902, 1238)(854, 1190, 906, 1242)(855, 1191, 907, 1243)(856, 1192, 901, 1237)(859, 1195, 895, 1231)(861, 1197, 913, 1249)(862, 1198, 915, 1251)(864, 1200, 918, 1254)(865, 1201, 919, 1255)(866, 1202, 911, 1247)(867, 1203, 912, 1248)(868, 1204, 922, 1258)(870, 1206, 925, 1261)(872, 1208, 928, 1264)(874, 1210, 923, 1259)(876, 1212, 933, 1269)(877, 1213, 932, 1268)(878, 1214, 931, 1267)(879, 1215, 935, 1271)(880, 1216, 936, 1272)(881, 1217, 930, 1266)(884, 1220, 924, 1260)(886, 1222, 942, 1278)(887, 1223, 944, 1280)(889, 1225, 947, 1283)(890, 1226, 948, 1284)(891, 1227, 940, 1276)(892, 1228, 941, 1277)(897, 1233, 953, 1289)(898, 1234, 954, 1290)(900, 1236, 955, 1291)(905, 1241, 959, 1295)(908, 1244, 937, 1273)(909, 1245, 962, 1298)(910, 1246, 961, 1297)(914, 1250, 965, 1301)(916, 1252, 958, 1294)(917, 1253, 960, 1296)(920, 1256, 949, 1285)(921, 1257, 963, 1299)(926, 1262, 969, 1305)(927, 1263, 970, 1306)(929, 1265, 971, 1307)(934, 1270, 975, 1311)(938, 1274, 978, 1314)(939, 1275, 977, 1313)(943, 1279, 981, 1317)(945, 1281, 974, 1310)(946, 1282, 976, 1312)(950, 1286, 979, 1315)(951, 1287, 982, 1318)(952, 1288, 984, 1320)(956, 1292, 988, 1324)(957, 1293, 989, 1325)(964, 1300, 986, 1322)(966, 1302, 967, 1303)(968, 1304, 992, 1328)(972, 1308, 996, 1332)(973, 1309, 997, 1333)(980, 1316, 994, 1330)(983, 1319, 999, 1335)(985, 1321, 1001, 1337)(987, 1323, 1000, 1336)(990, 1326, 1002, 1338)(991, 1327, 1003, 1339)(993, 1329, 1005, 1341)(995, 1331, 1004, 1340)(998, 1334, 1006, 1342)(1007, 1343, 1008, 1344)
	L = (1, 675)(2, 677)(3, 680)(4, 673)(5, 684)(6, 674)(7, 687)(8, 690)(9, 691)(10, 676)(11, 695)(12, 698)(13, 699)(14, 678)(15, 703)(16, 679)(17, 706)(18, 709)(19, 711)(20, 681)(21, 713)(22, 682)(23, 716)(24, 683)(25, 719)(26, 722)(27, 724)(28, 685)(29, 726)(30, 686)(31, 730)(32, 731)(33, 688)(34, 735)(35, 689)(36, 738)(37, 694)(38, 741)(39, 744)(40, 692)(41, 748)(42, 693)(43, 750)(44, 753)(45, 754)(46, 696)(47, 758)(48, 697)(49, 761)(50, 702)(51, 764)(52, 767)(53, 700)(54, 771)(55, 701)(56, 773)(57, 775)(58, 778)(59, 779)(60, 704)(61, 781)(62, 705)(63, 785)(64, 786)(65, 707)(66, 774)(67, 708)(68, 792)(69, 794)(70, 710)(71, 796)(72, 799)(73, 800)(74, 712)(75, 802)(76, 805)(77, 714)(78, 808)(79, 715)(80, 809)(81, 812)(82, 813)(83, 717)(84, 815)(85, 718)(86, 819)(87, 820)(88, 720)(89, 751)(90, 721)(91, 826)(92, 828)(93, 723)(94, 830)(95, 833)(96, 834)(97, 725)(98, 836)(99, 839)(100, 727)(101, 842)(102, 728)(103, 843)(104, 729)(105, 749)(106, 734)(107, 847)(108, 732)(109, 822)(110, 733)(111, 851)(112, 853)(113, 854)(114, 818)(115, 736)(116, 838)(117, 737)(118, 856)(119, 739)(120, 852)(121, 740)(122, 861)(123, 742)(124, 816)(125, 743)(126, 859)(127, 746)(128, 850)(129, 745)(130, 865)(131, 747)(132, 831)(133, 845)(134, 837)(135, 858)(136, 825)(137, 868)(138, 752)(139, 772)(140, 757)(141, 872)(142, 755)(143, 788)(144, 756)(145, 876)(146, 878)(147, 879)(148, 784)(149, 759)(150, 804)(151, 760)(152, 881)(153, 762)(154, 877)(155, 763)(156, 886)(157, 765)(158, 782)(159, 766)(160, 884)(161, 769)(162, 875)(163, 768)(164, 890)(165, 770)(166, 797)(167, 870)(168, 803)(169, 883)(170, 791)(171, 894)(172, 776)(173, 777)(174, 897)(175, 900)(176, 901)(177, 780)(178, 903)(179, 798)(180, 783)(181, 905)(182, 789)(183, 787)(184, 893)(185, 790)(186, 910)(187, 793)(188, 911)(189, 914)(190, 795)(191, 916)(192, 801)(193, 920)(194, 806)(195, 807)(196, 923)(197, 810)(198, 811)(199, 926)(200, 929)(201, 930)(202, 814)(203, 932)(204, 832)(205, 817)(206, 934)(207, 823)(208, 821)(209, 922)(210, 824)(211, 939)(212, 827)(213, 940)(214, 943)(215, 829)(216, 945)(217, 835)(218, 949)(219, 840)(220, 841)(221, 951)(222, 952)(223, 844)(224, 941)(225, 946)(226, 846)(227, 944)(228, 849)(229, 935)(230, 848)(231, 957)(232, 954)(233, 937)(234, 960)(235, 961)(236, 855)(237, 857)(238, 959)(239, 964)(240, 860)(241, 864)(242, 862)(243, 927)(244, 928)(245, 863)(246, 867)(247, 936)(248, 950)(249, 866)(250, 967)(251, 968)(252, 869)(253, 912)(254, 917)(255, 871)(256, 915)(257, 874)(258, 906)(259, 873)(260, 973)(261, 970)(262, 908)(263, 976)(264, 977)(265, 880)(266, 882)(267, 975)(268, 980)(269, 885)(270, 889)(271, 887)(272, 898)(273, 899)(274, 888)(275, 892)(276, 907)(277, 921)(278, 891)(279, 983)(280, 895)(281, 896)(282, 986)(283, 972)(284, 902)(285, 913)(286, 904)(287, 990)(288, 987)(289, 984)(290, 919)(291, 909)(292, 981)(293, 985)(294, 918)(295, 991)(296, 924)(297, 925)(298, 994)(299, 956)(300, 931)(301, 942)(302, 933)(303, 998)(304, 995)(305, 992)(306, 948)(307, 938)(308, 965)(309, 993)(310, 947)(311, 963)(312, 1000)(313, 953)(314, 999)(315, 955)(316, 958)(317, 962)(318, 966)(319, 979)(320, 1004)(321, 969)(322, 1003)(323, 971)(324, 974)(325, 978)(326, 982)(327, 1007)(328, 1005)(329, 989)(330, 988)(331, 1008)(332, 1001)(333, 997)(334, 996)(335, 1002)(336, 1006)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1736
Graph:: simple bipartite
	v = 504 e = 672 f = 126
	degree seq :: [ 2^336, 4^168 ]

E22.1740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^4, Y1^8, Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^2 * Y3 * Y1^3)^2, Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 337, 2, 338, 5, 341, 11, 347, 23, 359, 22, 358, 10, 346, 4, 340)(3, 339, 7, 343, 15, 351, 31, 367, 57, 393, 37, 373, 18, 354, 8, 344)(6, 342, 13, 349, 27, 363, 51, 387, 92, 428, 56, 392, 30, 366, 14, 350)(9, 345, 19, 355, 38, 374, 69, 405, 124, 460, 74, 410, 40, 376, 20, 356)(12, 348, 25, 361, 47, 383, 86, 422, 153, 489, 91, 427, 50, 386, 26, 362)(16, 352, 33, 369, 61, 397, 110, 446, 194, 530, 114, 450, 63, 399, 34, 370)(17, 353, 35, 371, 64, 400, 115, 451, 173, 509, 97, 433, 53, 389, 28, 364)(21, 357, 41, 377, 75, 411, 134, 470, 223, 559, 139, 475, 77, 413, 42, 378)(24, 360, 45, 381, 82, 418, 147, 483, 238, 574, 152, 488, 85, 421, 46, 382)(29, 365, 54, 390, 98, 434, 174, 510, 252, 588, 158, 494, 88, 424, 48, 384)(32, 368, 59, 395, 106, 442, 188, 524, 284, 620, 193, 529, 109, 445, 60, 396)(36, 372, 66, 402, 119, 455, 206, 542, 239, 575, 148, 484, 121, 457, 67, 403)(39, 375, 71, 407, 128, 464, 218, 554, 291, 627, 200, 536, 130, 466, 72, 408)(43, 379, 78, 414, 140, 476, 230, 566, 292, 628, 204, 540, 142, 478, 79, 415)(44, 380, 80, 416, 143, 479, 232, 568, 300, 636, 237, 573, 146, 482, 81, 417)(49, 385, 89, 425, 159, 495, 253, 589, 307, 643, 241, 577, 149, 485, 83, 419)(52, 388, 94, 430, 167, 503, 138, 474, 229, 565, 269, 605, 170, 506, 95, 431)(55, 391, 100, 436, 178, 514, 275, 611, 301, 637, 233, 569, 180, 516, 101, 437)(58, 394, 104, 440, 177, 513, 99, 435, 176, 512, 274, 610, 187, 523, 105, 441)(62, 398, 112, 448, 182, 518, 102, 438, 181, 517, 280, 616, 190, 526, 107, 443)(65, 401, 117, 453, 203, 539, 279, 615, 213, 549, 125, 461, 205, 541, 118, 454)(68, 404, 122, 458, 211, 547, 297, 633, 215, 551, 129, 465, 154, 490, 123, 459)(70, 406, 126, 462, 214, 550, 236, 572, 304, 640, 268, 604, 217, 553, 127, 463)(73, 409, 131, 467, 221, 557, 249, 585, 156, 492, 87, 423, 155, 491, 132, 468)(76, 412, 136, 472, 227, 563, 299, 635, 324, 660, 286, 622, 228, 564, 137, 473)(84, 420, 150, 486, 242, 578, 308, 644, 329, 665, 302, 638, 234, 570, 144, 480)(90, 426, 161, 497, 256, 592, 207, 543, 296, 632, 231, 567, 258, 594, 162, 498)(93, 429, 165, 501, 133, 469, 160, 496, 255, 591, 315, 651, 264, 600, 166, 502)(96, 432, 171, 507, 260, 596, 163, 499, 259, 595, 189, 525, 266, 602, 168, 504)(103, 439, 183, 519, 281, 617, 222, 558, 263, 599, 169, 505, 267, 603, 184, 520)(108, 444, 191, 527, 254, 590, 212, 548, 298, 634, 321, 657, 283, 619, 185, 521)(111, 447, 196, 532, 288, 624, 210, 546, 240, 576, 224, 560, 289, 625, 197, 533)(113, 449, 198, 534, 257, 593, 316, 652, 328, 664, 319, 655, 290, 626, 199, 535)(116, 452, 201, 537, 251, 587, 314, 650, 331, 667, 327, 663, 293, 629, 202, 538)(120, 456, 208, 544, 248, 584, 313, 649, 262, 598, 164, 500, 261, 597, 209, 545)(135, 471, 225, 561, 244, 580, 151, 487, 243, 579, 192, 528, 276, 612, 226, 562)(141, 477, 145, 481, 235, 571, 303, 639, 330, 666, 320, 656, 282, 618, 186, 522)(157, 493, 250, 586, 310, 646, 245, 581, 219, 555, 265, 601, 312, 648, 247, 583)(172, 508, 270, 606, 309, 645, 334, 670, 325, 661, 287, 623, 195, 531, 271, 607)(175, 511, 272, 608, 306, 642, 333, 669, 322, 658, 295, 631, 216, 552, 273, 609)(179, 515, 277, 613, 305, 641, 332, 668, 311, 647, 246, 582, 220, 556, 278, 614)(285, 621, 323, 659, 336, 672, 318, 654, 294, 630, 326, 662, 335, 671, 317, 653)(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, 689)(9, 676)(10, 693)(11, 696)(12, 677)(13, 700)(14, 701)(15, 704)(16, 679)(17, 680)(18, 708)(19, 711)(20, 705)(21, 682)(22, 715)(23, 716)(24, 683)(25, 720)(26, 721)(27, 724)(28, 685)(29, 686)(30, 727)(31, 730)(32, 687)(33, 692)(34, 734)(35, 737)(36, 690)(37, 740)(38, 742)(39, 691)(40, 745)(41, 748)(42, 743)(43, 694)(44, 695)(45, 755)(46, 756)(47, 759)(48, 697)(49, 698)(50, 762)(51, 765)(52, 699)(53, 768)(54, 771)(55, 702)(56, 774)(57, 775)(58, 703)(59, 779)(60, 780)(61, 783)(62, 706)(63, 785)(64, 788)(65, 707)(66, 792)(67, 789)(68, 709)(69, 797)(70, 710)(71, 714)(72, 801)(73, 712)(74, 805)(75, 807)(76, 713)(77, 810)(78, 813)(79, 808)(80, 816)(81, 817)(82, 820)(83, 717)(84, 718)(85, 823)(86, 826)(87, 719)(88, 829)(89, 832)(90, 722)(91, 835)(92, 836)(93, 723)(94, 840)(95, 841)(96, 725)(97, 844)(98, 847)(99, 726)(100, 851)(101, 848)(102, 728)(103, 729)(104, 857)(105, 858)(106, 861)(107, 731)(108, 732)(109, 864)(110, 867)(111, 733)(112, 819)(113, 735)(114, 846)(115, 872)(116, 736)(117, 739)(118, 876)(119, 879)(120, 738)(121, 882)(122, 822)(123, 880)(124, 884)(125, 741)(126, 887)(127, 888)(128, 891)(129, 744)(130, 892)(131, 894)(132, 868)(133, 746)(134, 896)(135, 747)(136, 751)(137, 838)(138, 749)(139, 849)(140, 903)(141, 750)(142, 860)(143, 905)(144, 752)(145, 753)(146, 908)(147, 784)(148, 754)(149, 912)(150, 794)(151, 757)(152, 917)(153, 918)(154, 758)(155, 919)(156, 920)(157, 760)(158, 923)(159, 926)(160, 761)(161, 929)(162, 927)(163, 763)(164, 764)(165, 935)(166, 809)(167, 937)(168, 766)(169, 767)(170, 940)(171, 904)(172, 769)(173, 925)(174, 786)(175, 770)(176, 773)(177, 811)(178, 948)(179, 772)(180, 951)(181, 907)(182, 949)(183, 954)(184, 914)(185, 776)(186, 777)(187, 930)(188, 814)(189, 778)(190, 957)(191, 942)(192, 781)(193, 921)(194, 958)(195, 782)(196, 804)(197, 909)(198, 945)(199, 910)(200, 787)(201, 964)(202, 950)(203, 966)(204, 790)(205, 967)(206, 941)(207, 791)(208, 795)(209, 959)(210, 793)(211, 916)(212, 796)(213, 906)(214, 952)(215, 798)(216, 799)(217, 928)(218, 962)(219, 800)(220, 802)(221, 947)(222, 803)(223, 944)(224, 806)(225, 936)(226, 965)(227, 931)(228, 933)(229, 955)(230, 922)(231, 812)(232, 843)(233, 815)(234, 885)(235, 853)(236, 818)(237, 869)(238, 871)(239, 977)(240, 821)(241, 978)(242, 856)(243, 981)(244, 883)(245, 824)(246, 825)(247, 827)(248, 828)(249, 865)(250, 902)(251, 830)(252, 980)(253, 845)(254, 831)(255, 834)(256, 889)(257, 833)(258, 859)(259, 899)(260, 988)(261, 900)(262, 975)(263, 837)(264, 897)(265, 839)(266, 989)(267, 986)(268, 842)(269, 878)(270, 863)(271, 972)(272, 895)(273, 870)(274, 990)(275, 893)(276, 850)(277, 854)(278, 874)(279, 852)(280, 886)(281, 991)(282, 855)(283, 901)(284, 994)(285, 862)(286, 866)(287, 881)(288, 998)(289, 999)(290, 890)(291, 992)(292, 873)(293, 898)(294, 875)(295, 877)(296, 997)(297, 995)(298, 974)(299, 983)(300, 943)(301, 1000)(302, 970)(303, 934)(304, 1003)(305, 911)(306, 913)(307, 1002)(308, 924)(309, 915)(310, 1006)(311, 971)(312, 1007)(313, 1005)(314, 939)(315, 1008)(316, 932)(317, 938)(318, 946)(319, 953)(320, 963)(321, 1004)(322, 956)(323, 969)(324, 1001)(325, 968)(326, 960)(327, 961)(328, 973)(329, 996)(330, 979)(331, 976)(332, 993)(333, 985)(334, 982)(335, 984)(336, 987)(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, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1734
Graph:: simple bipartite
	v = 378 e = 672 f = 252
	degree seq :: [ 2^336, 16^42 ]

E22.1741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^4, Y1^8, (Y3 * Y1^-3)^3, (Y1^-1 * Y3 * Y1 * Y3)^3, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2, (Y3 * Y1^3 * Y3 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 337, 2, 338, 5, 341, 11, 347, 23, 359, 22, 358, 10, 346, 4, 340)(3, 339, 7, 343, 15, 351, 31, 367, 57, 393, 37, 373, 18, 354, 8, 344)(6, 342, 13, 349, 27, 363, 51, 387, 92, 428, 56, 392, 30, 366, 14, 350)(9, 345, 19, 355, 38, 374, 69, 405, 122, 458, 74, 410, 40, 376, 20, 356)(12, 348, 25, 361, 47, 383, 86, 422, 146, 482, 91, 427, 50, 386, 26, 362)(16, 352, 33, 369, 61, 397, 110, 446, 176, 512, 113, 449, 63, 399, 34, 370)(17, 353, 35, 371, 64, 400, 114, 450, 163, 499, 97, 433, 53, 389, 28, 364)(21, 357, 41, 377, 75, 411, 130, 466, 157, 493, 93, 429, 77, 413, 42, 378)(24, 360, 45, 381, 82, 418, 68, 404, 121, 457, 145, 481, 85, 421, 46, 382)(29, 365, 54, 390, 98, 434, 164, 500, 210, 546, 150, 486, 88, 424, 48, 384)(32, 368, 59, 395, 106, 442, 162, 498, 205, 541, 144, 480, 109, 445, 60, 396)(36, 372, 66, 402, 118, 454, 185, 521, 230, 566, 177, 513, 120, 456, 67, 403)(39, 375, 71, 407, 126, 462, 189, 525, 241, 577, 191, 527, 127, 463, 72, 408)(43, 379, 78, 414, 135, 471, 155, 491, 105, 441, 58, 394, 104, 440, 79, 415)(44, 380, 80, 416, 137, 473, 102, 438, 170, 506, 123, 459, 140, 476, 81, 417)(49, 385, 89, 425, 151, 487, 211, 547, 259, 595, 202, 538, 142, 478, 83, 419)(52, 388, 94, 430, 158, 494, 209, 545, 255, 591, 199, 535, 161, 497, 95, 431)(55, 391, 100, 436, 167, 503, 131, 467, 182, 518, 115, 451, 169, 505, 101, 437)(62, 398, 99, 435, 166, 502, 219, 555, 276, 612, 228, 564, 175, 511, 107, 443)(65, 401, 116, 452, 183, 519, 234, 570, 289, 625, 236, 572, 184, 520, 117, 453)(70, 406, 124, 460, 165, 501, 112, 448, 154, 490, 90, 426, 153, 489, 125, 461)(73, 409, 128, 464, 168, 504, 196, 532, 250, 586, 242, 578, 192, 528, 129, 465)(76, 412, 132, 468, 193, 529, 247, 583, 291, 627, 237, 573, 186, 522, 133, 469)(84, 420, 143, 479, 203, 539, 260, 596, 296, 632, 252, 588, 197, 533, 138, 474)(87, 423, 147, 483, 207, 543, 258, 594, 225, 561, 173, 509, 108, 444, 148, 484)(96, 432, 152, 488, 212, 548, 267, 603, 307, 643, 274, 610, 216, 552, 159, 495)(103, 439, 171, 507, 221, 557, 180, 516, 233, 569, 181, 517, 224, 560, 172, 508)(111, 447, 178, 514, 231, 567, 284, 620, 313, 649, 281, 617, 232, 568, 179, 515)(119, 455, 141, 477, 200, 536, 256, 592, 249, 585, 194, 530, 134, 470, 160, 496)(136, 472, 139, 475, 198, 534, 253, 589, 297, 633, 294, 630, 246, 582, 195, 531)(149, 485, 204, 540, 261, 597, 302, 638, 325, 661, 305, 641, 264, 600, 208, 544)(156, 492, 213, 549, 268, 604, 217, 553, 275, 611, 218, 554, 271, 607, 214, 550)(174, 510, 226, 562, 283, 619, 314, 650, 327, 663, 311, 647, 279, 615, 222, 558)(187, 523, 223, 559, 280, 616, 300, 636, 324, 660, 301, 637, 273, 609, 238, 574)(188, 524, 239, 575, 277, 613, 245, 581, 286, 622, 229, 565, 285, 621, 240, 576)(190, 526, 243, 579, 293, 629, 317, 653, 329, 665, 315, 651, 287, 623, 244, 580)(201, 537, 254, 590, 298, 634, 322, 658, 333, 669, 323, 659, 299, 635, 257, 593)(206, 542, 262, 598, 303, 639, 265, 601, 306, 642, 266, 602, 227, 563, 263, 599)(215, 551, 272, 608, 235, 571, 290, 626, 318, 654, 292, 628, 308, 644, 269, 605)(220, 556, 270, 606, 309, 645, 320, 656, 332, 668, 321, 657, 304, 640, 278, 614)(248, 584, 282, 618, 312, 648, 328, 664, 331, 667, 319, 655, 295, 631, 251, 587)(288, 624, 316, 652, 330, 666, 335, 671, 336, 672, 334, 670, 326, 662, 310, 646)(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, 689)(9, 676)(10, 693)(11, 696)(12, 677)(13, 700)(14, 701)(15, 704)(16, 679)(17, 680)(18, 708)(19, 711)(20, 705)(21, 682)(22, 715)(23, 716)(24, 683)(25, 720)(26, 721)(27, 724)(28, 685)(29, 686)(30, 727)(31, 730)(32, 687)(33, 692)(34, 734)(35, 737)(36, 690)(37, 740)(38, 742)(39, 691)(40, 745)(41, 748)(42, 743)(43, 694)(44, 695)(45, 755)(46, 756)(47, 759)(48, 697)(49, 698)(50, 762)(51, 765)(52, 699)(53, 768)(54, 771)(55, 702)(56, 774)(57, 775)(58, 703)(59, 779)(60, 780)(61, 783)(62, 706)(63, 784)(64, 787)(65, 707)(66, 791)(67, 788)(68, 709)(69, 795)(70, 710)(71, 714)(72, 789)(73, 712)(74, 758)(75, 803)(76, 713)(77, 806)(78, 808)(79, 804)(80, 810)(81, 811)(82, 813)(83, 717)(84, 718)(85, 816)(86, 746)(87, 719)(88, 821)(89, 824)(90, 722)(91, 827)(92, 828)(93, 723)(94, 831)(95, 832)(96, 725)(97, 834)(98, 837)(99, 726)(100, 840)(101, 838)(102, 728)(103, 729)(104, 845)(105, 846)(106, 823)(107, 731)(108, 732)(109, 839)(110, 849)(111, 733)(112, 735)(113, 852)(114, 853)(115, 736)(116, 739)(117, 744)(118, 825)(119, 738)(120, 858)(121, 859)(122, 860)(123, 741)(124, 856)(125, 833)(126, 862)(127, 841)(128, 820)(129, 850)(130, 817)(131, 747)(132, 751)(133, 851)(134, 749)(135, 857)(136, 750)(137, 868)(138, 752)(139, 753)(140, 871)(141, 754)(142, 873)(143, 876)(144, 757)(145, 802)(146, 878)(147, 880)(148, 800)(149, 760)(150, 881)(151, 778)(152, 761)(153, 790)(154, 884)(155, 763)(156, 764)(157, 887)(158, 875)(159, 766)(160, 767)(161, 797)(162, 769)(163, 889)(164, 890)(165, 770)(166, 773)(167, 781)(168, 772)(169, 799)(170, 892)(171, 894)(172, 895)(173, 776)(174, 777)(175, 899)(176, 901)(177, 782)(178, 801)(179, 805)(180, 785)(181, 786)(182, 904)(183, 907)(184, 796)(185, 807)(186, 792)(187, 793)(188, 794)(189, 914)(190, 798)(191, 917)(192, 918)(193, 920)(194, 915)(195, 916)(196, 809)(197, 923)(198, 926)(199, 812)(200, 929)(201, 814)(202, 930)(203, 830)(204, 815)(205, 933)(206, 818)(207, 925)(208, 819)(209, 822)(210, 937)(211, 938)(212, 826)(213, 941)(214, 942)(215, 829)(216, 945)(217, 835)(218, 836)(219, 949)(220, 842)(221, 939)(222, 843)(223, 844)(224, 953)(225, 954)(226, 935)(227, 847)(228, 956)(229, 848)(230, 959)(231, 955)(232, 854)(233, 960)(234, 946)(235, 855)(236, 943)(237, 962)(238, 944)(239, 950)(240, 934)(241, 964)(242, 861)(243, 866)(244, 867)(245, 863)(246, 864)(247, 928)(248, 865)(249, 924)(250, 967)(251, 869)(252, 921)(253, 879)(254, 870)(255, 970)(256, 919)(257, 872)(258, 874)(259, 972)(260, 973)(261, 877)(262, 912)(263, 898)(264, 976)(265, 882)(266, 883)(267, 893)(268, 974)(269, 885)(270, 886)(271, 908)(272, 910)(273, 888)(274, 906)(275, 982)(276, 977)(277, 891)(278, 911)(279, 971)(280, 984)(281, 896)(282, 897)(283, 903)(284, 900)(285, 987)(286, 988)(287, 902)(288, 905)(289, 989)(290, 909)(291, 983)(292, 913)(293, 981)(294, 986)(295, 922)(296, 992)(297, 993)(298, 927)(299, 951)(300, 931)(301, 932)(302, 940)(303, 994)(304, 936)(305, 948)(306, 998)(307, 995)(308, 991)(309, 965)(310, 947)(311, 963)(312, 952)(313, 1000)(314, 966)(315, 957)(316, 958)(317, 961)(318, 1002)(319, 980)(320, 968)(321, 969)(322, 975)(323, 979)(324, 1006)(325, 1003)(326, 978)(327, 1007)(328, 985)(329, 1005)(330, 990)(331, 997)(332, 1008)(333, 1001)(334, 996)(335, 999)(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) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1735
Graph:: simple bipartite
	v = 378 e = 672 f = 252
	degree seq :: [ 2^336, 16^42 ]

E22.1742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, Y2^8, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^-2)^3, (Y2 * Y1 * Y2^-1 * Y1)^3, Y2^2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1, (Y2^3 * Y1 * Y2^-2 * Y1)^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, 17, 353)(10, 346, 21, 357)(12, 348, 25, 361)(14, 350, 29, 365)(15, 351, 28, 364)(16, 352, 32, 368)(18, 354, 36, 372)(19, 355, 38, 374)(20, 356, 23, 359)(22, 358, 43, 379)(24, 360, 45, 381)(26, 362, 49, 385)(27, 363, 51, 387)(30, 366, 56, 392)(31, 367, 57, 393)(33, 369, 61, 397)(34, 370, 60, 396)(35, 371, 64, 400)(37, 373, 68, 404)(39, 375, 71, 407)(40, 376, 73, 409)(41, 377, 75, 411)(42, 378, 69, 405)(44, 380, 80, 416)(46, 382, 84, 420)(47, 383, 83, 419)(48, 384, 87, 423)(50, 386, 91, 427)(52, 388, 94, 430)(53, 389, 96, 432)(54, 390, 98, 434)(55, 391, 92, 428)(58, 394, 105, 441)(59, 395, 82, 418)(62, 398, 111, 447)(63, 399, 112, 448)(65, 401, 116, 452)(66, 402, 115, 451)(67, 403, 118, 454)(70, 406, 93, 429)(72, 408, 126, 462)(74, 410, 113, 449)(76, 412, 132, 468)(77, 413, 134, 470)(78, 414, 135, 471)(79, 415, 130, 466)(81, 417, 139, 475)(85, 421, 145, 481)(86, 422, 146, 482)(88, 424, 150, 486)(89, 425, 149, 485)(90, 426, 152, 488)(95, 431, 160, 496)(97, 433, 147, 483)(99, 435, 166, 502)(100, 436, 168, 504)(101, 437, 169, 505)(102, 438, 164, 500)(103, 439, 163, 499)(104, 440, 165, 501)(106, 442, 174, 510)(107, 443, 144, 480)(108, 444, 176, 512)(109, 445, 178, 514)(110, 446, 141, 477)(114, 450, 162, 498)(117, 453, 153, 489)(119, 455, 151, 487)(120, 456, 185, 521)(121, 457, 186, 522)(122, 458, 188, 524)(123, 459, 158, 494)(124, 460, 157, 493)(125, 461, 172, 508)(127, 463, 191, 527)(128, 464, 148, 484)(129, 465, 137, 473)(131, 467, 138, 474)(133, 469, 170, 506)(136, 472, 167, 503)(140, 476, 199, 535)(142, 478, 201, 537)(143, 479, 203, 539)(154, 490, 210, 546)(155, 491, 211, 547)(156, 492, 213, 549)(159, 495, 197, 533)(161, 497, 216, 552)(171, 507, 221, 557)(173, 509, 224, 560)(175, 511, 227, 563)(177, 513, 222, 558)(179, 515, 232, 568)(180, 516, 231, 567)(181, 517, 230, 566)(182, 518, 234, 570)(183, 519, 235, 571)(184, 520, 229, 565)(187, 523, 223, 559)(189, 525, 241, 577)(190, 526, 243, 579)(192, 528, 246, 582)(193, 529, 247, 583)(194, 530, 239, 575)(195, 531, 240, 576)(196, 532, 250, 586)(198, 534, 253, 589)(200, 536, 256, 592)(202, 538, 251, 587)(204, 540, 261, 597)(205, 541, 260, 596)(206, 542, 259, 595)(207, 543, 263, 599)(208, 544, 264, 600)(209, 545, 258, 594)(212, 548, 252, 588)(214, 550, 270, 606)(215, 551, 272, 608)(217, 553, 275, 611)(218, 554, 276, 612)(219, 555, 268, 604)(220, 556, 269, 605)(225, 561, 281, 617)(226, 562, 282, 618)(228, 564, 283, 619)(233, 569, 287, 623)(236, 572, 265, 601)(237, 573, 290, 626)(238, 574, 289, 625)(242, 578, 293, 629)(244, 580, 286, 622)(245, 581, 288, 624)(248, 584, 277, 613)(249, 585, 291, 627)(254, 590, 297, 633)(255, 591, 298, 634)(257, 593, 299, 635)(262, 598, 303, 639)(266, 602, 306, 642)(267, 603, 305, 641)(271, 607, 309, 645)(273, 609, 302, 638)(274, 610, 304, 640)(278, 614, 307, 643)(279, 615, 310, 646)(280, 616, 312, 648)(284, 620, 316, 652)(285, 621, 317, 653)(292, 628, 314, 650)(294, 630, 295, 631)(296, 632, 320, 656)(300, 636, 324, 660)(301, 637, 325, 661)(308, 644, 322, 658)(311, 647, 327, 663)(313, 649, 329, 665)(315, 651, 328, 664)(318, 654, 330, 666)(319, 655, 331, 667)(321, 657, 333, 669)(323, 659, 332, 668)(326, 662, 334, 670)(335, 671, 336, 672)(673, 1009, 675, 1011, 680, 1016, 690, 1026, 709, 1045, 694, 1030, 682, 1018, 676, 1012)(674, 1010, 677, 1013, 684, 1020, 698, 1034, 722, 1058, 702, 1038, 686, 1022, 678, 1014)(679, 1015, 687, 1023, 703, 1039, 730, 1066, 778, 1114, 734, 1070, 705, 1041, 688, 1024)(681, 1017, 691, 1027, 711, 1047, 744, 1080, 799, 1135, 746, 1082, 712, 1048, 692, 1028)(683, 1019, 695, 1031, 716, 1052, 753, 1089, 812, 1148, 757, 1093, 718, 1054, 696, 1032)(685, 1021, 699, 1035, 724, 1060, 767, 1103, 833, 1169, 769, 1105, 725, 1061, 700, 1036)(689, 1025, 706, 1042, 735, 1071, 785, 1121, 854, 1190, 789, 1125, 737, 1073, 707, 1043)(693, 1029, 713, 1049, 748, 1084, 805, 1141, 845, 1181, 777, 1113, 749, 1085, 714, 1050)(697, 1033, 719, 1055, 758, 1094, 819, 1155, 879, 1215, 823, 1159, 760, 1096, 720, 1056)(701, 1037, 726, 1062, 771, 1107, 839, 1175, 870, 1206, 811, 1147, 772, 1108, 727, 1063)(704, 1040, 731, 1067, 779, 1115, 847, 1183, 900, 1236, 849, 1185, 780, 1116, 732, 1068)(708, 1044, 738, 1074, 774, 1110, 728, 1064, 773, 1109, 842, 1178, 791, 1127, 739, 1075)(710, 1046, 741, 1077, 794, 1130, 861, 1197, 914, 1250, 862, 1198, 795, 1131, 742, 1078)(715, 1051, 750, 1086, 808, 1144, 825, 1161, 762, 1098, 721, 1057, 761, 1097, 751, 1087)(717, 1053, 754, 1090, 813, 1149, 872, 1208, 929, 1265, 874, 1210, 814, 1150, 755, 1091)(723, 1059, 764, 1100, 828, 1164, 886, 1222, 943, 1279, 887, 1223, 829, 1165, 765, 1101)(729, 1065, 775, 1111, 843, 1179, 894, 1230, 952, 1288, 895, 1231, 844, 1180, 776, 1112)(733, 1069, 781, 1117, 822, 1158, 804, 1140, 831, 1167, 766, 1102, 830, 1166, 782, 1118)(736, 1072, 786, 1122, 818, 1154, 878, 1214, 934, 1270, 908, 1244, 855, 1191, 787, 1123)(740, 1076, 792, 1128, 852, 1188, 783, 1119, 851, 1187, 798, 1134, 859, 1195, 793, 1129)(743, 1079, 796, 1132, 816, 1152, 756, 1092, 815, 1151, 788, 1124, 838, 1174, 797, 1133)(745, 1081, 800, 1136, 850, 1186, 903, 1239, 957, 1293, 913, 1249, 864, 1200, 801, 1137)(747, 1083, 802, 1138, 865, 1201, 920, 1256, 950, 1286, 891, 1227, 840, 1176, 803, 1139)(752, 1088, 809, 1145, 868, 1204, 923, 1259, 968, 1304, 924, 1260, 869, 1205, 810, 1146)(759, 1095, 820, 1156, 784, 1120, 853, 1189, 905, 1241, 937, 1273, 880, 1216, 821, 1157)(763, 1099, 826, 1162, 877, 1213, 817, 1153, 876, 1212, 832, 1168, 884, 1220, 827, 1163)(768, 1104, 834, 1170, 875, 1211, 932, 1268, 973, 1309, 942, 1278, 889, 1225, 835, 1171)(770, 1106, 836, 1172, 890, 1226, 949, 1285, 921, 1257, 866, 1202, 806, 1142, 837, 1173)(790, 1126, 856, 1192, 893, 1229, 951, 1287, 983, 1319, 963, 1299, 909, 1245, 857, 1193)(807, 1143, 858, 1194, 910, 1246, 959, 1295, 990, 1326, 966, 1302, 918, 1254, 867, 1203)(824, 1160, 881, 1217, 922, 1258, 967, 1303, 991, 1327, 979, 1315, 938, 1274, 882, 1218)(841, 1177, 883, 1219, 939, 1275, 975, 1311, 998, 1334, 982, 1318, 947, 1283, 892, 1228)(846, 1182, 897, 1233, 946, 1282, 888, 1224, 945, 1281, 899, 1235, 944, 1280, 898, 1234)(848, 1184, 901, 1237, 935, 1271, 976, 1312, 995, 1331, 971, 1307, 956, 1292, 902, 1238)(860, 1196, 911, 1247, 964, 1300, 981, 1317, 993, 1329, 969, 1305, 925, 1261, 912, 1248)(863, 1199, 916, 1252, 928, 1264, 915, 1251, 927, 1263, 871, 1207, 926, 1262, 917, 1253)(873, 1209, 930, 1266, 906, 1242, 960, 1296, 987, 1323, 955, 1291, 972, 1308, 931, 1267)(885, 1221, 940, 1276, 980, 1316, 965, 1301, 985, 1321, 953, 1289, 896, 1232, 941, 1277)(904, 1240, 954, 1290, 986, 1322, 999, 1335, 1007, 1343, 1002, 1338, 988, 1324, 958, 1294)(907, 1243, 961, 1297, 984, 1320, 1000, 1336, 1005, 1341, 997, 1333, 978, 1314, 948, 1284)(919, 1255, 936, 1272, 977, 1313, 992, 1328, 1004, 1340, 1001, 1337, 989, 1325, 962, 1298)(933, 1269, 970, 1306, 994, 1330, 1003, 1339, 1008, 1344, 1006, 1342, 996, 1332, 974, 1310)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 683)(6, 685)(7, 675)(8, 689)(9, 676)(10, 693)(11, 677)(12, 697)(13, 678)(14, 701)(15, 700)(16, 704)(17, 680)(18, 708)(19, 710)(20, 695)(21, 682)(22, 715)(23, 692)(24, 717)(25, 684)(26, 721)(27, 723)(28, 687)(29, 686)(30, 728)(31, 729)(32, 688)(33, 733)(34, 732)(35, 736)(36, 690)(37, 740)(38, 691)(39, 743)(40, 745)(41, 747)(42, 741)(43, 694)(44, 752)(45, 696)(46, 756)(47, 755)(48, 759)(49, 698)(50, 763)(51, 699)(52, 766)(53, 768)(54, 770)(55, 764)(56, 702)(57, 703)(58, 777)(59, 754)(60, 706)(61, 705)(62, 783)(63, 784)(64, 707)(65, 788)(66, 787)(67, 790)(68, 709)(69, 714)(70, 765)(71, 711)(72, 798)(73, 712)(74, 785)(75, 713)(76, 804)(77, 806)(78, 807)(79, 802)(80, 716)(81, 811)(82, 731)(83, 719)(84, 718)(85, 817)(86, 818)(87, 720)(88, 822)(89, 821)(90, 824)(91, 722)(92, 727)(93, 742)(94, 724)(95, 832)(96, 725)(97, 819)(98, 726)(99, 838)(100, 840)(101, 841)(102, 836)(103, 835)(104, 837)(105, 730)(106, 846)(107, 816)(108, 848)(109, 850)(110, 813)(111, 734)(112, 735)(113, 746)(114, 834)(115, 738)(116, 737)(117, 825)(118, 739)(119, 823)(120, 857)(121, 858)(122, 860)(123, 830)(124, 829)(125, 844)(126, 744)(127, 863)(128, 820)(129, 809)(130, 751)(131, 810)(132, 748)(133, 842)(134, 749)(135, 750)(136, 839)(137, 801)(138, 803)(139, 753)(140, 871)(141, 782)(142, 873)(143, 875)(144, 779)(145, 757)(146, 758)(147, 769)(148, 800)(149, 761)(150, 760)(151, 791)(152, 762)(153, 789)(154, 882)(155, 883)(156, 885)(157, 796)(158, 795)(159, 869)(160, 767)(161, 888)(162, 786)(163, 775)(164, 774)(165, 776)(166, 771)(167, 808)(168, 772)(169, 773)(170, 805)(171, 893)(172, 797)(173, 896)(174, 778)(175, 899)(176, 780)(177, 894)(178, 781)(179, 904)(180, 903)(181, 902)(182, 906)(183, 907)(184, 901)(185, 792)(186, 793)(187, 895)(188, 794)(189, 913)(190, 915)(191, 799)(192, 918)(193, 919)(194, 911)(195, 912)(196, 922)(197, 831)(198, 925)(199, 812)(200, 928)(201, 814)(202, 923)(203, 815)(204, 933)(205, 932)(206, 931)(207, 935)(208, 936)(209, 930)(210, 826)(211, 827)(212, 924)(213, 828)(214, 942)(215, 944)(216, 833)(217, 947)(218, 948)(219, 940)(220, 941)(221, 843)(222, 849)(223, 859)(224, 845)(225, 953)(226, 954)(227, 847)(228, 955)(229, 856)(230, 853)(231, 852)(232, 851)(233, 959)(234, 854)(235, 855)(236, 937)(237, 962)(238, 961)(239, 866)(240, 867)(241, 861)(242, 965)(243, 862)(244, 958)(245, 960)(246, 864)(247, 865)(248, 949)(249, 963)(250, 868)(251, 874)(252, 884)(253, 870)(254, 969)(255, 970)(256, 872)(257, 971)(258, 881)(259, 878)(260, 877)(261, 876)(262, 975)(263, 879)(264, 880)(265, 908)(266, 978)(267, 977)(268, 891)(269, 892)(270, 886)(271, 981)(272, 887)(273, 974)(274, 976)(275, 889)(276, 890)(277, 920)(278, 979)(279, 982)(280, 984)(281, 897)(282, 898)(283, 900)(284, 988)(285, 989)(286, 916)(287, 905)(288, 917)(289, 910)(290, 909)(291, 921)(292, 986)(293, 914)(294, 967)(295, 966)(296, 992)(297, 926)(298, 927)(299, 929)(300, 996)(301, 997)(302, 945)(303, 934)(304, 946)(305, 939)(306, 938)(307, 950)(308, 994)(309, 943)(310, 951)(311, 999)(312, 952)(313, 1001)(314, 964)(315, 1000)(316, 956)(317, 957)(318, 1002)(319, 1003)(320, 968)(321, 1005)(322, 980)(323, 1004)(324, 972)(325, 973)(326, 1006)(327, 983)(328, 987)(329, 985)(330, 990)(331, 991)(332, 995)(333, 993)(334, 998)(335, 1008)(336, 1007)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1744
Graph:: bipartite
	v = 210 e = 672 f = 420
	degree seq :: [ 4^168, 16^42 ]

E22.1743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, (Y3 * Y2^-1)^4, Y2^8, Y2^3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1, (Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2)^2, Y2^2 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 11, 347)(6, 342, 13, 349)(8, 344, 17, 353)(10, 346, 21, 357)(12, 348, 25, 361)(14, 350, 29, 365)(15, 351, 28, 364)(16, 352, 32, 368)(18, 354, 36, 372)(19, 355, 38, 374)(20, 356, 23, 359)(22, 358, 43, 379)(24, 360, 45, 381)(26, 362, 49, 385)(27, 363, 51, 387)(30, 366, 56, 392)(31, 367, 57, 393)(33, 369, 61, 397)(34, 370, 60, 396)(35, 371, 64, 400)(37, 373, 68, 404)(39, 375, 71, 407)(40, 376, 73, 409)(41, 377, 75, 411)(42, 378, 69, 405)(44, 380, 80, 416)(46, 382, 84, 420)(47, 383, 83, 419)(48, 384, 87, 423)(50, 386, 91, 427)(52, 388, 94, 430)(53, 389, 96, 432)(54, 390, 98, 434)(55, 391, 92, 428)(58, 394, 105, 441)(59, 395, 107, 443)(62, 398, 112, 448)(63, 399, 113, 449)(65, 401, 117, 453)(66, 402, 116, 452)(67, 403, 120, 456)(70, 406, 125, 461)(72, 408, 129, 465)(74, 410, 133, 469)(76, 412, 136, 472)(77, 413, 138, 474)(78, 414, 140, 476)(79, 415, 134, 470)(81, 417, 145, 481)(82, 418, 147, 483)(85, 421, 152, 488)(86, 422, 153, 489)(88, 424, 157, 493)(89, 425, 156, 492)(90, 426, 160, 496)(93, 429, 165, 501)(95, 431, 169, 505)(97, 433, 173, 509)(99, 435, 176, 512)(100, 436, 178, 514)(101, 437, 180, 516)(102, 438, 174, 510)(103, 439, 172, 508)(104, 440, 184, 520)(106, 442, 188, 524)(108, 444, 190, 526)(109, 445, 191, 527)(110, 446, 193, 529)(111, 447, 189, 525)(114, 450, 182, 518)(115, 451, 200, 536)(118, 454, 205, 541)(119, 455, 179, 515)(121, 457, 207, 543)(122, 458, 206, 542)(123, 459, 210, 546)(124, 460, 212, 548)(126, 462, 215, 551)(127, 463, 214, 550)(128, 464, 217, 553)(130, 466, 220, 556)(131, 467, 221, 557)(132, 468, 143, 479)(135, 471, 187, 523)(137, 473, 227, 563)(139, 475, 159, 495)(141, 477, 230, 566)(142, 478, 154, 490)(144, 480, 233, 569)(146, 482, 237, 573)(148, 484, 239, 575)(149, 485, 240, 576)(150, 486, 242, 578)(151, 487, 238, 574)(155, 491, 249, 585)(158, 494, 254, 590)(161, 497, 256, 592)(162, 498, 255, 591)(163, 499, 259, 595)(164, 500, 261, 597)(166, 502, 264, 600)(167, 503, 263, 599)(168, 504, 266, 602)(170, 506, 269, 605)(171, 507, 270, 606)(175, 511, 236, 572)(177, 513, 276, 612)(181, 517, 279, 615)(183, 519, 281, 617)(185, 521, 283, 619)(186, 522, 282, 618)(192, 528, 265, 601)(194, 530, 252, 588)(195, 531, 262, 598)(196, 532, 291, 627)(197, 533, 288, 624)(198, 534, 272, 608)(199, 535, 292, 628)(201, 537, 250, 586)(202, 538, 278, 614)(203, 539, 243, 579)(204, 540, 293, 629)(208, 544, 296, 632)(209, 545, 290, 626)(211, 547, 297, 633)(213, 549, 244, 580)(216, 552, 241, 577)(218, 554, 275, 611)(219, 555, 295, 631)(222, 558, 289, 625)(223, 559, 247, 583)(224, 560, 273, 609)(225, 561, 284, 620)(226, 562, 267, 603)(228, 564, 286, 622)(229, 565, 251, 587)(231, 567, 287, 623)(232, 568, 300, 636)(234, 570, 302, 638)(235, 571, 301, 637)(245, 581, 310, 646)(246, 582, 307, 643)(248, 584, 311, 647)(253, 589, 312, 648)(257, 593, 315, 651)(258, 594, 309, 645)(260, 596, 316, 652)(268, 604, 314, 650)(271, 607, 308, 644)(274, 610, 303, 639)(277, 613, 305, 641)(280, 616, 306, 642)(285, 621, 322, 658)(294, 630, 323, 659)(298, 634, 327, 663)(299, 635, 326, 662)(304, 640, 331, 667)(313, 649, 332, 668)(317, 653, 336, 672)(318, 654, 335, 671)(319, 655, 328, 664)(320, 656, 329, 665)(321, 657, 333, 669)(324, 660, 330, 666)(325, 661, 334, 670)(673, 1009, 675, 1011, 680, 1016, 690, 1026, 709, 1045, 694, 1030, 682, 1018, 676, 1012)(674, 1010, 677, 1013, 684, 1020, 698, 1034, 722, 1058, 702, 1038, 686, 1022, 678, 1014)(679, 1015, 687, 1023, 703, 1039, 730, 1066, 778, 1114, 734, 1070, 705, 1041, 688, 1024)(681, 1017, 691, 1027, 711, 1047, 744, 1080, 802, 1138, 746, 1082, 712, 1048, 692, 1028)(683, 1019, 695, 1031, 716, 1052, 753, 1089, 818, 1154, 757, 1093, 718, 1054, 696, 1032)(685, 1021, 699, 1035, 724, 1060, 767, 1103, 842, 1178, 769, 1105, 725, 1061, 700, 1036)(689, 1025, 706, 1042, 735, 1071, 786, 1122, 871, 1207, 790, 1126, 737, 1073, 707, 1043)(693, 1029, 713, 1049, 748, 1084, 809, 1145, 900, 1236, 811, 1147, 749, 1085, 714, 1050)(697, 1033, 719, 1055, 758, 1094, 826, 1162, 920, 1256, 830, 1166, 760, 1096, 720, 1056)(701, 1037, 726, 1062, 771, 1107, 849, 1185, 949, 1285, 851, 1187, 772, 1108, 727, 1063)(704, 1040, 731, 1067, 780, 1116, 824, 1160, 917, 1253, 864, 1200, 781, 1117, 732, 1068)(708, 1044, 738, 1074, 791, 1127, 819, 1155, 910, 1246, 880, 1216, 793, 1129, 739, 1075)(710, 1046, 741, 1077, 796, 1132, 885, 1221, 940, 1276, 841, 1177, 798, 1134, 742, 1078)(715, 1051, 750, 1086, 813, 1149, 903, 1239, 935, 1271, 837, 1173, 814, 1150, 751, 1087)(717, 1053, 754, 1090, 820, 1156, 784, 1120, 868, 1204, 913, 1249, 821, 1157, 755, 1091)(721, 1057, 761, 1097, 831, 1167, 779, 1115, 861, 1197, 929, 1265, 833, 1169, 762, 1098)(723, 1059, 764, 1100, 836, 1172, 934, 1270, 891, 1227, 801, 1137, 838, 1174, 765, 1101)(728, 1064, 773, 1109, 853, 1189, 952, 1288, 886, 1222, 797, 1133, 854, 1190, 774, 1110)(729, 1065, 775, 1111, 855, 1191, 810, 1146, 901, 1237, 948, 1284, 857, 1193, 776, 1112)(733, 1069, 782, 1118, 866, 1202, 961, 1297, 997, 1333, 962, 1298, 867, 1203, 783, 1119)(736, 1072, 787, 1123, 873, 1209, 941, 1277, 989, 1325, 966, 1302, 874, 1210, 788, 1124)(740, 1076, 794, 1130, 881, 1217, 942, 1278, 973, 1309, 905, 1241, 883, 1219, 795, 1131)(743, 1079, 799, 1135, 888, 1224, 969, 1305, 992, 1328, 955, 1291, 890, 1226, 800, 1136)(745, 1081, 803, 1139, 894, 1230, 926, 1262, 870, 1206, 785, 1121, 869, 1205, 804, 1140)(747, 1083, 806, 1142, 895, 1231, 971, 1307, 976, 1312, 909, 1245, 896, 1232, 807, 1143)(752, 1088, 815, 1151, 904, 1240, 850, 1186, 950, 1286, 899, 1235, 906, 1242, 816, 1152)(756, 1092, 822, 1158, 915, 1251, 980, 1316, 1006, 1342, 981, 1317, 916, 1252, 823, 1159)(759, 1095, 827, 1163, 922, 1258, 892, 1228, 970, 1306, 985, 1321, 923, 1259, 828, 1164)(763, 1099, 834, 1170, 930, 1266, 893, 1229, 954, 1290, 856, 1192, 932, 1268, 835, 1171)(766, 1102, 839, 1175, 937, 1273, 988, 1324, 1001, 1337, 974, 1310, 939, 1275, 840, 1176)(768, 1104, 843, 1179, 943, 1279, 877, 1213, 919, 1255, 825, 1161, 918, 1254, 844, 1180)(770, 1106, 846, 1182, 944, 1280, 990, 1326, 957, 1293, 860, 1196, 945, 1281, 847, 1183)(777, 1113, 858, 1194, 805, 1141, 872, 1208, 965, 1301, 993, 1329, 956, 1292, 859, 1195)(789, 1125, 875, 1211, 947, 1283, 848, 1184, 946, 1282, 902, 1238, 928, 1264, 876, 1212)(792, 1128, 852, 1188, 931, 1267, 982, 1318, 1003, 1339, 999, 1335, 967, 1303, 878, 1214)(808, 1144, 897, 1233, 951, 1287, 879, 1215, 925, 1261, 829, 1165, 924, 1260, 898, 1234)(812, 1148, 882, 1218, 963, 1299, 994, 1330, 1008, 1344, 986, 1322, 927, 1263, 832, 1168)(817, 1153, 907, 1243, 845, 1181, 921, 1257, 984, 1320, 1002, 1338, 975, 1311, 908, 1244)(862, 1198, 958, 1294, 995, 1331, 1007, 1343, 983, 1319, 936, 1272, 889, 1225, 914, 1250)(863, 1199, 959, 1295, 996, 1332, 968, 1304, 884, 1220, 953, 1289, 991, 1327, 960, 1296)(865, 1201, 911, 1247, 977, 1313, 1004, 1340, 998, 1334, 964, 1300, 887, 1223, 938, 1274)(912, 1248, 978, 1314, 1005, 1341, 987, 1323, 933, 1269, 972, 1308, 1000, 1336, 979, 1315)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 683)(6, 685)(7, 675)(8, 689)(9, 676)(10, 693)(11, 677)(12, 697)(13, 678)(14, 701)(15, 700)(16, 704)(17, 680)(18, 708)(19, 710)(20, 695)(21, 682)(22, 715)(23, 692)(24, 717)(25, 684)(26, 721)(27, 723)(28, 687)(29, 686)(30, 728)(31, 729)(32, 688)(33, 733)(34, 732)(35, 736)(36, 690)(37, 740)(38, 691)(39, 743)(40, 745)(41, 747)(42, 741)(43, 694)(44, 752)(45, 696)(46, 756)(47, 755)(48, 759)(49, 698)(50, 763)(51, 699)(52, 766)(53, 768)(54, 770)(55, 764)(56, 702)(57, 703)(58, 777)(59, 779)(60, 706)(61, 705)(62, 784)(63, 785)(64, 707)(65, 789)(66, 788)(67, 792)(68, 709)(69, 714)(70, 797)(71, 711)(72, 801)(73, 712)(74, 805)(75, 713)(76, 808)(77, 810)(78, 812)(79, 806)(80, 716)(81, 817)(82, 819)(83, 719)(84, 718)(85, 824)(86, 825)(87, 720)(88, 829)(89, 828)(90, 832)(91, 722)(92, 727)(93, 837)(94, 724)(95, 841)(96, 725)(97, 845)(98, 726)(99, 848)(100, 850)(101, 852)(102, 846)(103, 844)(104, 856)(105, 730)(106, 860)(107, 731)(108, 862)(109, 863)(110, 865)(111, 861)(112, 734)(113, 735)(114, 854)(115, 872)(116, 738)(117, 737)(118, 877)(119, 851)(120, 739)(121, 879)(122, 878)(123, 882)(124, 884)(125, 742)(126, 887)(127, 886)(128, 889)(129, 744)(130, 892)(131, 893)(132, 815)(133, 746)(134, 751)(135, 859)(136, 748)(137, 899)(138, 749)(139, 831)(140, 750)(141, 902)(142, 826)(143, 804)(144, 905)(145, 753)(146, 909)(147, 754)(148, 911)(149, 912)(150, 914)(151, 910)(152, 757)(153, 758)(154, 814)(155, 921)(156, 761)(157, 760)(158, 926)(159, 811)(160, 762)(161, 928)(162, 927)(163, 931)(164, 933)(165, 765)(166, 936)(167, 935)(168, 938)(169, 767)(170, 941)(171, 942)(172, 775)(173, 769)(174, 774)(175, 908)(176, 771)(177, 948)(178, 772)(179, 791)(180, 773)(181, 951)(182, 786)(183, 953)(184, 776)(185, 955)(186, 954)(187, 807)(188, 778)(189, 783)(190, 780)(191, 781)(192, 937)(193, 782)(194, 924)(195, 934)(196, 963)(197, 960)(198, 944)(199, 964)(200, 787)(201, 922)(202, 950)(203, 915)(204, 965)(205, 790)(206, 794)(207, 793)(208, 968)(209, 962)(210, 795)(211, 969)(212, 796)(213, 916)(214, 799)(215, 798)(216, 913)(217, 800)(218, 947)(219, 967)(220, 802)(221, 803)(222, 961)(223, 919)(224, 945)(225, 956)(226, 939)(227, 809)(228, 958)(229, 923)(230, 813)(231, 959)(232, 972)(233, 816)(234, 974)(235, 973)(236, 847)(237, 818)(238, 823)(239, 820)(240, 821)(241, 888)(242, 822)(243, 875)(244, 885)(245, 982)(246, 979)(247, 895)(248, 983)(249, 827)(250, 873)(251, 901)(252, 866)(253, 984)(254, 830)(255, 834)(256, 833)(257, 987)(258, 981)(259, 835)(260, 988)(261, 836)(262, 867)(263, 839)(264, 838)(265, 864)(266, 840)(267, 898)(268, 986)(269, 842)(270, 843)(271, 980)(272, 870)(273, 896)(274, 975)(275, 890)(276, 849)(277, 977)(278, 874)(279, 853)(280, 978)(281, 855)(282, 858)(283, 857)(284, 897)(285, 994)(286, 900)(287, 903)(288, 869)(289, 894)(290, 881)(291, 868)(292, 871)(293, 876)(294, 995)(295, 891)(296, 880)(297, 883)(298, 999)(299, 998)(300, 904)(301, 907)(302, 906)(303, 946)(304, 1003)(305, 949)(306, 952)(307, 918)(308, 943)(309, 930)(310, 917)(311, 920)(312, 925)(313, 1004)(314, 940)(315, 929)(316, 932)(317, 1008)(318, 1007)(319, 1000)(320, 1001)(321, 1005)(322, 957)(323, 966)(324, 1002)(325, 1006)(326, 971)(327, 970)(328, 991)(329, 992)(330, 996)(331, 976)(332, 985)(333, 993)(334, 997)(335, 990)(336, 989)(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, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1745
Graph:: bipartite
	v = 210 e = 672 f = 420
	degree seq :: [ 4^168, 16^42 ]

E22.1744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^8, (Y3^2 * Y1^-1)^3, Y1^-1 * Y3^2 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^2, Y1^-1 * Y3^2 * Y1^2 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-2 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 337, 2, 338, 6, 342, 4, 340)(3, 339, 9, 345, 21, 357, 11, 347)(5, 341, 13, 349, 18, 354, 7, 343)(8, 344, 19, 355, 34, 370, 15, 351)(10, 346, 23, 359, 49, 385, 25, 361)(12, 348, 16, 352, 35, 371, 28, 364)(14, 350, 31, 367, 62, 398, 29, 365)(17, 353, 37, 373, 76, 412, 39, 375)(20, 356, 43, 379, 85, 421, 41, 377)(22, 358, 47, 383, 91, 427, 45, 381)(24, 360, 51, 387, 102, 438, 53, 389)(26, 362, 46, 382, 92, 428, 56, 392)(27, 363, 57, 393, 111, 447, 59, 395)(30, 366, 63, 399, 83, 419, 40, 376)(32, 368, 67, 403, 125, 461, 65, 401)(33, 369, 68, 404, 128, 464, 70, 406)(36, 372, 74, 410, 136, 472, 72, 408)(38, 374, 78, 414, 145, 481, 80, 416)(42, 378, 86, 422, 134, 470, 71, 407)(44, 380, 89, 425, 160, 496, 88, 424)(48, 384, 96, 432, 168, 504, 94, 430)(50, 386, 100, 436, 135, 471, 98, 434)(52, 388, 104, 440, 182, 518, 105, 441)(54, 390, 99, 435, 172, 508, 107, 443)(55, 391, 108, 444, 121, 457, 64, 400)(58, 394, 113, 449, 192, 528, 114, 450)(60, 396, 73, 409, 137, 473, 116, 452)(61, 397, 117, 453, 129, 465, 119, 455)(66, 402, 126, 462, 203, 539, 120, 456)(69, 405, 130, 466, 215, 551, 132, 468)(75, 411, 140, 476, 225, 561, 139, 475)(77, 413, 143, 479, 90, 426, 141, 477)(79, 415, 147, 483, 231, 567, 148, 484)(81, 417, 142, 478, 226, 562, 149, 485)(82, 418, 150, 486, 156, 492, 87, 423)(84, 420, 153, 489, 112, 448, 155, 491)(93, 429, 115, 451, 195, 531, 164, 500)(95, 431, 169, 505, 249, 585, 163, 499)(97, 433, 171, 507, 257, 593, 170, 506)(101, 437, 176, 512, 154, 490, 174, 510)(103, 439, 180, 516, 250, 586, 178, 514)(106, 442, 179, 515, 263, 599, 185, 521)(109, 445, 123, 459, 207, 543, 188, 524)(110, 446, 165, 501, 251, 587, 190, 526)(118, 454, 198, 534, 191, 527, 200, 536)(122, 458, 205, 541, 238, 574, 152, 488)(124, 460, 208, 544, 235, 571, 210, 546)(127, 463, 213, 549, 287, 623, 211, 547)(131, 467, 216, 552, 289, 625, 217, 553)(133, 469, 218, 554, 222, 558, 138, 474)(144, 480, 228, 564, 221, 557, 175, 511)(146, 482, 167, 503, 204, 540, 187, 523)(151, 487, 158, 494, 242, 578, 236, 572)(157, 493, 240, 576, 294, 630, 220, 556)(159, 495, 243, 579, 274, 610, 193, 529)(161, 497, 245, 581, 312, 648, 244, 580)(162, 498, 201, 537, 214, 550, 247, 583)(166, 502, 253, 589, 277, 613, 196, 532)(173, 509, 189, 525, 271, 607, 259, 595)(177, 513, 262, 598, 303, 639, 232, 568)(181, 517, 209, 545, 254, 590, 230, 566)(183, 519, 267, 603, 321, 657, 265, 601)(184, 520, 266, 602, 308, 644, 239, 575)(186, 522, 260, 596, 309, 645, 241, 577)(194, 530, 275, 611, 327, 663, 276, 612)(197, 533, 223, 559, 296, 632, 279, 615)(199, 535, 256, 592, 319, 655, 280, 616)(202, 538, 281, 617, 284, 620, 206, 542)(212, 548, 278, 614, 329, 665, 283, 619)(219, 555, 224, 560, 298, 634, 292, 628)(227, 563, 237, 573, 305, 641, 299, 635)(229, 565, 302, 638, 331, 667, 290, 626)(233, 569, 304, 640, 322, 658, 295, 631)(234, 570, 300, 636, 335, 671, 297, 633)(246, 582, 291, 627, 332, 668, 313, 649)(248, 584, 314, 650, 316, 652, 252, 588)(255, 591, 293, 629, 333, 669, 315, 651)(258, 594, 288, 624, 330, 666, 320, 656)(261, 597, 311, 647, 326, 662, 272, 608)(264, 600, 269, 605, 286, 622, 323, 659)(268, 604, 324, 660, 328, 664, 282, 618)(270, 606, 285, 621, 310, 646, 325, 661)(273, 609, 317, 653, 334, 670, 307, 643)(301, 637, 318, 654, 336, 672, 306, 642)(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, 679)(3, 682)(4, 684)(5, 673)(6, 687)(7, 689)(8, 674)(9, 676)(10, 696)(11, 698)(12, 699)(13, 701)(14, 677)(15, 705)(16, 678)(17, 710)(18, 712)(19, 713)(20, 680)(21, 717)(22, 681)(23, 683)(24, 724)(25, 726)(26, 727)(27, 730)(28, 732)(29, 733)(30, 685)(31, 737)(32, 686)(33, 741)(34, 743)(35, 744)(36, 688)(37, 690)(38, 751)(39, 753)(40, 754)(41, 756)(42, 691)(43, 760)(44, 692)(45, 762)(46, 693)(47, 766)(48, 694)(49, 770)(50, 695)(51, 697)(52, 704)(53, 778)(54, 715)(55, 781)(56, 782)(57, 700)(58, 769)(59, 738)(60, 787)(61, 790)(62, 792)(63, 793)(64, 702)(65, 796)(66, 703)(67, 777)(68, 706)(69, 803)(70, 767)(71, 805)(72, 807)(73, 707)(74, 811)(75, 708)(76, 813)(77, 709)(78, 711)(79, 716)(80, 799)(81, 746)(82, 823)(83, 824)(84, 826)(85, 779)(86, 828)(87, 714)(88, 831)(89, 820)(90, 834)(91, 835)(92, 836)(93, 718)(94, 839)(95, 719)(96, 842)(97, 720)(98, 808)(99, 721)(100, 846)(101, 722)(102, 850)(103, 723)(104, 725)(105, 856)(106, 768)(107, 858)(108, 728)(109, 849)(110, 861)(111, 825)(112, 729)(113, 731)(114, 866)(115, 868)(116, 869)(117, 734)(118, 871)(119, 873)(120, 874)(121, 876)(122, 735)(123, 736)(124, 881)(125, 883)(126, 783)(127, 739)(128, 789)(129, 740)(130, 742)(131, 747)(132, 833)(133, 891)(134, 892)(135, 893)(136, 821)(137, 894)(138, 745)(139, 852)(140, 889)(141, 763)(142, 748)(143, 847)(144, 749)(145, 859)(146, 750)(147, 752)(148, 905)(149, 906)(150, 755)(151, 901)(152, 909)(153, 757)(154, 911)(155, 870)(156, 880)(157, 758)(158, 759)(159, 853)(160, 916)(161, 761)(162, 918)(163, 920)(164, 922)(165, 764)(166, 765)(167, 926)(168, 857)(169, 800)(170, 928)(171, 786)(172, 931)(173, 771)(174, 827)(175, 772)(176, 904)(177, 773)(178, 867)(179, 774)(180, 902)(181, 775)(182, 937)(183, 776)(184, 848)(185, 940)(186, 941)(187, 780)(188, 942)(189, 944)(190, 945)(191, 784)(192, 946)(193, 785)(194, 812)(195, 788)(196, 939)(197, 950)(198, 791)(199, 795)(200, 855)(201, 815)(202, 954)(203, 955)(204, 840)(205, 956)(206, 794)(207, 952)(208, 797)(209, 865)(210, 802)(211, 958)(212, 798)(213, 817)(214, 801)(215, 907)(216, 804)(217, 963)(218, 806)(219, 960)(220, 965)(221, 967)(222, 915)(223, 809)(224, 810)(225, 948)(226, 971)(227, 814)(228, 962)(229, 816)(230, 818)(231, 975)(232, 819)(233, 900)(234, 933)(235, 822)(236, 957)(237, 978)(238, 979)(239, 830)(240, 981)(241, 829)(242, 980)(243, 832)(244, 983)(245, 887)(246, 838)(247, 930)(248, 973)(249, 987)(250, 897)(251, 988)(252, 837)(253, 985)(254, 882)(255, 841)(256, 872)(257, 992)(258, 843)(259, 993)(260, 844)(261, 845)(262, 860)(263, 995)(264, 851)(265, 943)(266, 854)(267, 863)(268, 878)(269, 884)(270, 925)(271, 862)(272, 885)(273, 877)(274, 890)(275, 864)(276, 990)(277, 997)(278, 936)(279, 989)(280, 986)(281, 875)(282, 927)(283, 1002)(284, 938)(285, 879)(286, 913)(287, 998)(288, 886)(289, 1003)(290, 888)(291, 919)(292, 982)(293, 1000)(294, 1006)(295, 896)(296, 1007)(297, 895)(298, 994)(299, 934)(300, 898)(301, 899)(302, 908)(303, 977)(304, 903)(305, 910)(306, 917)(307, 912)(308, 953)(309, 976)(310, 914)(311, 969)(312, 1008)(313, 972)(314, 921)(315, 974)(316, 991)(317, 923)(318, 924)(319, 929)(320, 1001)(321, 949)(322, 932)(323, 959)(324, 935)(325, 970)(326, 984)(327, 996)(328, 947)(329, 951)(330, 964)(331, 1005)(332, 961)(333, 966)(334, 968)(335, 1004)(336, 999)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1742
Graph:: simple bipartite
	v = 420 e = 672 f = 210
	degree seq :: [ 2^336, 8^84 ]

E22.1745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = PSL(3,2) : C2 (small group id <336, 208>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^2, (Y3^-2 * Y1 * Y3^-1 * Y1)^2, Y1^-2 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3^4 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3^4 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^3, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 337, 2, 338, 6, 342, 4, 340)(3, 339, 9, 345, 21, 357, 11, 347)(5, 341, 13, 349, 18, 354, 7, 343)(8, 344, 19, 355, 34, 370, 15, 351)(10, 346, 23, 359, 49, 385, 25, 361)(12, 348, 16, 352, 35, 371, 28, 364)(14, 350, 31, 367, 62, 398, 29, 365)(17, 353, 37, 373, 76, 412, 39, 375)(20, 356, 43, 379, 85, 421, 41, 377)(22, 358, 47, 383, 92, 428, 45, 381)(24, 360, 51, 387, 103, 439, 53, 389)(26, 362, 46, 382, 93, 429, 56, 392)(27, 363, 57, 393, 112, 448, 59, 395)(30, 366, 63, 399, 83, 419, 40, 376)(32, 368, 67, 403, 126, 462, 65, 401)(33, 369, 68, 404, 129, 465, 70, 406)(36, 372, 74, 410, 138, 474, 72, 408)(38, 374, 78, 414, 148, 484, 80, 416)(42, 378, 86, 422, 136, 472, 71, 407)(44, 380, 90, 426, 164, 500, 88, 424)(48, 384, 97, 433, 175, 511, 95, 431)(50, 386, 101, 437, 181, 517, 99, 435)(52, 388, 105, 441, 191, 527, 106, 442)(54, 390, 100, 436, 161, 497, 87, 423)(55, 391, 109, 445, 160, 496, 89, 425)(58, 394, 114, 450, 202, 538, 115, 451)(60, 396, 73, 409, 139, 475, 118, 454)(61, 397, 119, 455, 208, 544, 121, 457)(64, 400, 116, 452, 199, 535, 123, 459)(66, 402, 117, 453, 206, 542, 122, 458)(69, 405, 131, 467, 225, 561, 133, 469)(75, 411, 143, 479, 238, 574, 141, 477)(77, 413, 146, 482, 195, 531, 144, 480)(79, 415, 150, 486, 248, 584, 151, 487)(81, 417, 145, 481, 235, 571, 140, 476)(82, 418, 154, 490, 234, 570, 142, 478)(84, 420, 157, 493, 254, 590, 159, 495)(91, 427, 167, 503, 221, 557, 169, 505)(94, 430, 134, 470, 223, 559, 171, 507)(96, 432, 135, 471, 230, 566, 170, 506)(98, 434, 179, 515, 273, 609, 177, 513)(102, 438, 185, 521, 278, 614, 183, 519)(104, 440, 189, 525, 163, 499, 187, 523)(107, 443, 188, 524, 231, 567, 176, 512)(108, 444, 162, 498, 260, 596, 178, 514)(110, 446, 165, 501, 209, 545, 197, 533)(111, 447, 172, 508, 232, 568, 156, 492)(113, 449, 200, 536, 294, 630, 198, 534)(120, 456, 210, 546, 302, 638, 212, 548)(124, 460, 216, 552, 180, 516, 205, 541)(125, 461, 217, 553, 203, 539, 219, 555)(127, 463, 152, 488, 245, 581, 207, 543)(128, 464, 153, 489, 236, 572, 220, 556)(130, 466, 224, 560, 251, 587, 222, 558)(132, 468, 227, 563, 314, 650, 228, 564)(137, 473, 194, 530, 271, 607, 233, 569)(147, 483, 168, 504, 263, 599, 241, 577)(149, 485, 246, 582, 237, 573, 244, 580)(155, 491, 239, 575, 204, 540, 253, 589)(158, 494, 255, 591, 296, 632, 201, 537)(166, 502, 229, 565, 173, 509, 262, 598)(174, 510, 268, 604, 226, 562, 270, 606)(182, 518, 265, 601, 309, 645, 259, 595)(184, 520, 266, 602, 315, 651, 275, 611)(186, 522, 281, 617, 311, 647, 280, 616)(190, 526, 285, 621, 318, 654, 283, 619)(192, 528, 289, 625, 272, 608, 287, 623)(193, 529, 288, 624, 249, 585, 279, 615)(196, 532, 292, 628, 312, 648, 258, 594)(211, 547, 304, 640, 282, 618, 305, 641)(213, 549, 301, 637, 317, 653, 240, 576)(214, 550, 300, 636, 286, 622, 242, 578)(215, 551, 295, 631, 316, 652, 307, 643)(218, 554, 308, 644, 313, 649, 310, 646)(243, 579, 321, 657, 329, 665, 264, 600)(247, 583, 293, 629, 269, 605, 323, 659)(250, 586, 324, 660, 306, 642, 320, 656)(252, 588, 325, 661, 297, 633, 290, 626)(256, 592, 298, 634, 322, 658, 327, 663)(257, 593, 326, 662, 267, 603, 291, 627)(261, 597, 284, 620, 299, 635, 328, 664)(274, 610, 331, 667, 276, 612, 332, 668)(277, 613, 319, 655, 330, 666, 303, 639)(333, 669, 335, 671, 334, 670, 336, 672)(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, 679)(3, 682)(4, 684)(5, 673)(6, 687)(7, 689)(8, 674)(9, 676)(10, 696)(11, 698)(12, 699)(13, 701)(14, 677)(15, 705)(16, 678)(17, 710)(18, 712)(19, 713)(20, 680)(21, 717)(22, 681)(23, 683)(24, 724)(25, 726)(26, 727)(27, 730)(28, 732)(29, 733)(30, 685)(31, 737)(32, 686)(33, 741)(34, 743)(35, 744)(36, 688)(37, 690)(38, 751)(39, 753)(40, 754)(41, 756)(42, 691)(43, 760)(44, 692)(45, 763)(46, 693)(47, 767)(48, 694)(49, 771)(50, 695)(51, 697)(52, 704)(53, 779)(54, 780)(55, 782)(56, 783)(57, 700)(58, 770)(59, 788)(60, 789)(61, 792)(62, 794)(63, 795)(64, 702)(65, 797)(66, 703)(67, 778)(68, 706)(69, 804)(70, 806)(71, 807)(72, 809)(73, 707)(74, 813)(75, 708)(76, 816)(77, 709)(78, 711)(79, 716)(80, 824)(81, 825)(82, 827)(83, 828)(84, 830)(85, 832)(86, 833)(87, 714)(88, 835)(89, 715)(90, 823)(91, 840)(92, 842)(93, 843)(94, 718)(95, 846)(96, 719)(97, 849)(98, 720)(99, 852)(100, 721)(101, 855)(102, 722)(103, 859)(104, 723)(105, 725)(106, 865)(107, 866)(108, 867)(109, 728)(110, 858)(111, 735)(112, 870)(113, 729)(114, 731)(115, 876)(116, 877)(117, 879)(118, 844)(119, 734)(120, 883)(121, 885)(122, 886)(123, 887)(124, 736)(125, 890)(126, 892)(127, 738)(128, 739)(129, 894)(130, 740)(131, 742)(132, 747)(133, 881)(134, 901)(135, 903)(136, 904)(137, 857)(138, 906)(139, 907)(140, 745)(141, 909)(142, 746)(143, 900)(144, 850)(145, 748)(146, 913)(147, 749)(148, 916)(149, 750)(150, 752)(151, 922)(152, 839)(153, 923)(154, 755)(155, 915)(156, 758)(157, 757)(158, 928)(159, 929)(160, 930)(161, 931)(162, 759)(163, 933)(164, 934)(165, 761)(166, 762)(167, 764)(168, 936)(169, 937)(170, 938)(171, 939)(172, 765)(173, 766)(174, 941)(175, 932)(176, 768)(177, 944)(178, 769)(179, 787)(180, 815)(181, 947)(182, 772)(183, 949)(184, 773)(185, 952)(186, 774)(187, 836)(188, 775)(189, 955)(190, 776)(191, 959)(192, 777)(193, 963)(194, 810)(195, 958)(196, 781)(197, 897)(198, 838)(199, 784)(200, 968)(201, 785)(202, 889)(203, 786)(204, 829)(205, 853)(206, 790)(207, 970)(208, 837)(209, 791)(210, 793)(211, 796)(212, 802)(213, 961)(214, 978)(215, 965)(216, 977)(217, 798)(218, 981)(219, 956)(220, 983)(221, 799)(222, 800)(223, 801)(224, 974)(225, 940)(226, 803)(227, 805)(228, 948)(229, 966)(230, 808)(231, 976)(232, 811)(233, 988)(234, 962)(235, 989)(236, 812)(237, 990)(238, 888)(239, 814)(240, 817)(241, 991)(242, 818)(243, 819)(244, 910)(245, 820)(246, 995)(247, 821)(248, 960)(249, 822)(250, 967)(251, 964)(252, 826)(253, 874)(254, 911)(255, 831)(256, 834)(257, 951)(258, 946)(259, 982)(260, 999)(261, 973)(262, 1001)(263, 841)(264, 845)(265, 1003)(266, 921)(267, 957)(268, 847)(269, 979)(270, 980)(271, 848)(272, 912)(273, 1004)(274, 851)(275, 971)(276, 854)(277, 927)(278, 905)(279, 856)(280, 908)(281, 869)(282, 860)(283, 918)(284, 861)(285, 972)(286, 862)(287, 945)(288, 863)(289, 969)(290, 864)(291, 895)(292, 919)(293, 868)(294, 997)(295, 871)(296, 975)(297, 872)(298, 873)(299, 875)(300, 878)(301, 880)(302, 1002)(303, 882)(304, 884)(305, 1007)(306, 899)(307, 943)(308, 891)(309, 893)(310, 924)(311, 1008)(312, 896)(313, 898)(314, 996)(315, 902)(316, 992)(317, 1000)(318, 998)(319, 950)(320, 914)(321, 925)(322, 917)(323, 942)(324, 920)(325, 985)(326, 926)(327, 1005)(328, 987)(329, 1006)(330, 935)(331, 984)(332, 986)(333, 953)(334, 954)(335, 994)(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, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1743
Graph:: simple bipartite
	v = 420 e = 672 f = 210
	degree seq :: [ 2^336, 8^84 ]

E22.1746 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 881>$ (small group id <1008, 881>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^3, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1, (T2^-1, T1^-1)^3, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2, T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^2 * T1 * T2^-1 * T1^-1 ]
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, 174, 96)(51, 97, 177, 98)(53, 101, 183, 102)(54, 103, 187, 104)(60, 115, 208, 116)(61, 117, 210, 118)(62, 119, 120, 63)(64, 121, 218, 122)(65, 123, 221, 124)(66, 125, 132, 71)(73, 135, 240, 136)(74, 137, 155, 138)(76, 141, 249, 142)(77, 143, 251, 144)(78, 145, 146, 79)(80, 147, 257, 148)(81, 112, 202, 149)(82, 150, 260, 151)(87, 159, 271, 160)(88, 161, 162, 89)(91, 165, 279, 166)(93, 169, 283, 170)(94, 171, 287, 172)(99, 181, 294, 182)(100, 178, 189, 105)(107, 192, 308, 193)(108, 194, 223, 195)(110, 198, 217, 199)(111, 200, 274, 201)(113, 203, 319, 204)(114, 205, 323, 206)(127, 227, 341, 228)(128, 211, 229, 129)(131, 232, 346, 233)(133, 236, 349, 237)(134, 238, 267, 156)(139, 244, 354, 245)(140, 246, 358, 247)(153, 264, 374, 265)(154, 266, 360, 256)(157, 180, 293, 268)(158, 269, 378, 270)(163, 276, 384, 277)(164, 278, 325, 207)(167, 282, 363, 258)(168, 209, 289, 173)(175, 239, 235, 250)(176, 186, 185, 252)(179, 214, 213, 253)(184, 297, 402, 298)(188, 291, 395, 301)(190, 304, 406, 305)(191, 306, 337, 224)(196, 216, 328, 311)(197, 312, 383, 275)(212, 309, 317, 316)(215, 292, 396, 327)(219, 302, 393, 331)(220, 332, 385, 333)(222, 336, 415, 318)(225, 243, 273, 338)(226, 339, 429, 340)(230, 343, 433, 344)(231, 345, 290, 248)(234, 348, 368, 261)(241, 307, 303, 314)(242, 255, 254, 315)(259, 364, 434, 365)(262, 369, 452, 370)(263, 371, 454, 372)(272, 382, 322, 321)(280, 313, 300, 375)(281, 286, 285, 376)(284, 390, 465, 391)(288, 388, 462, 394)(295, 310, 326, 399)(296, 400, 473, 401)(299, 404, 459, 379)(320, 416, 460, 380)(324, 392, 467, 418)(329, 420, 458, 421)(330, 422, 436, 386)(334, 423, 381, 424)(335, 425, 484, 426)(342, 432, 357, 356)(347, 352, 351, 427)(350, 439, 453, 440)(353, 437, 489, 441)(355, 442, 487, 430)(359, 377, 456, 443)(361, 444, 486, 445)(362, 446, 468, 435)(366, 448, 490, 449)(367, 450, 387, 373)(389, 463, 498, 464)(397, 447, 431, 472)(398, 466, 494, 470)(403, 451, 413, 412)(405, 409, 408, 471)(407, 475, 481, 419)(410, 469, 497, 476)(411, 477, 495, 474)(414, 428, 483, 478)(417, 479, 500, 480)(438, 482, 491, 455)(457, 492, 503, 493)(461, 496, 501, 485)(488, 502, 504, 499)(505, 506, 508)(507, 512, 514)(509, 517, 518)(510, 519, 521)(511, 522, 523)(513, 526, 527)(515, 530, 532)(516, 533, 524)(520, 538, 539)(525, 546, 547)(528, 552, 554)(529, 555, 548)(531, 557, 558)(534, 551, 564)(535, 565, 566)(536, 567, 568)(537, 569, 570)(540, 575, 577)(541, 578, 571)(542, 574, 580)(543, 581, 582)(544, 583, 584)(545, 585, 586)(549, 591, 592)(550, 593, 595)(553, 597, 598)(556, 603, 604)(559, 609, 611)(560, 612, 605)(561, 608, 614)(562, 615, 616)(563, 617, 618)(572, 631, 632)(573, 633, 635)(576, 637, 638)(579, 643, 644)(587, 655, 657)(588, 658, 659)(589, 641, 660)(590, 661, 662)(594, 667, 668)(596, 671, 672)(599, 677, 679)(600, 680, 673)(601, 676, 682)(602, 683, 684)(606, 688, 689)(607, 690, 692)(610, 694, 695)(613, 700, 701)(619, 711, 713)(620, 650, 707)(621, 710, 715)(622, 716, 717)(623, 718, 719)(624, 720, 703)(625, 721, 723)(626, 724, 627)(628, 726, 727)(629, 698, 728)(630, 729, 730)(634, 734, 735)(636, 738, 739)(639, 743, 745)(640, 666, 740)(642, 746, 747)(645, 752, 754)(646, 653, 748)(647, 751, 756)(648, 757, 758)(649, 759, 760)(651, 712, 762)(652, 763, 685)(654, 753, 765)(656, 766, 767)(663, 774, 776)(664, 777, 778)(665, 704, 779)(669, 744, 784)(670, 785, 780)(674, 788, 789)(675, 790, 792)(678, 794, 795)(681, 686, 796)(687, 799, 800)(691, 803, 804)(693, 806, 807)(696, 811, 793)(697, 733, 808)(699, 813, 814)(702, 817, 818)(705, 819, 820)(706, 821, 822)(708, 824, 825)(709, 826, 828)(714, 732, 830)(722, 833, 834)(725, 838, 839)(731, 844, 846)(736, 812, 829)(737, 851, 847)(741, 854, 855)(742, 856, 857)(749, 859, 860)(750, 861, 863)(755, 802, 797)(761, 865, 866)(764, 870, 871)(768, 877, 879)(769, 772, 873)(770, 876, 880)(771, 881, 786)(773, 878, 883)(775, 884, 885)(781, 843, 889)(782, 836, 890)(783, 891, 892)(787, 862, 893)(791, 896, 897)(798, 901, 902)(801, 905, 907)(805, 909, 908)(809, 911, 912)(810, 913, 914)(815, 915, 916)(816, 917, 918)(823, 864, 895)(827, 921, 910)(831, 923, 832)(835, 886, 924)(837, 842, 927)(840, 930, 931)(841, 932, 852)(845, 934, 935)(848, 904, 938)(849, 868, 939)(850, 940, 941)(853, 887, 942)(858, 919, 944)(867, 936, 948)(869, 903, 951)(872, 955, 952)(874, 946, 957)(875, 943, 959)(882, 961, 962)(888, 958, 965)(894, 968, 970)(898, 950, 971)(899, 972, 973)(900, 974, 975)(906, 978, 956)(920, 969, 976)(922, 949, 983)(925, 986, 982)(926, 987, 980)(928, 981, 985)(929, 979, 984)(933, 989, 990)(937, 988, 992)(945, 954, 960)(947, 953, 967)(963, 998, 996)(964, 991, 999)(966, 993, 1001)(977, 1003, 994)(995, 997, 1000)(1002, 1008, 1007)(1004, 1005, 1006)
	L = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1748
Transitivity :: ET+
Graph:: simple bipartite
	v = 294 e = 504 f = 168
	degree seq :: [ 3^168, 4^126 ]

E22.1747 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 883>$ (small group id <1008, 883>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, T2^4, (F * T1)^2, (T1 * T2)^3, T1 * T2 * T1 * T2 * T1^-2 * T2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, T1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 ]
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, 175, 96)(51, 97, 178, 98)(53, 101, 185, 102)(54, 103, 189, 104)(60, 115, 210, 116)(61, 117, 213, 118)(62, 119, 120, 63)(64, 121, 222, 122)(65, 123, 225, 124)(66, 125, 132, 71)(73, 135, 247, 136)(74, 137, 250, 138)(76, 141, 259, 142)(77, 143, 262, 144)(78, 145, 146, 79)(80, 147, 271, 148)(81, 112, 204, 149)(82, 150, 277, 151)(87, 160, 290, 161)(88, 162, 163, 89)(91, 166, 300, 167)(93, 170, 306, 171)(94, 172, 310, 173)(99, 182, 322, 183)(100, 184, 191, 105)(107, 194, 341, 195)(108, 196, 343, 197)(110, 200, 352, 201)(111, 202, 355, 203)(113, 205, 263, 206)(114, 207, 363, 208)(127, 232, 311, 233)(128, 234, 235, 129)(131, 238, 395, 239)(133, 242, 291, 243)(134, 244, 177, 245)(139, 254, 356, 255)(140, 256, 412, 257)(153, 281, 366, 282)(154, 230, 253, 283)(155, 284, 285, 156)(157, 228, 227, 286)(158, 181, 321, 287)(159, 288, 437, 289)(164, 297, 443, 298)(165, 272, 365, 209)(168, 303, 362, 304)(169, 305, 312, 174)(176, 315, 451, 316)(179, 318, 417, 261)(180, 319, 454, 320)(186, 327, 402, 328)(187, 329, 295, 188)(190, 332, 361, 333)(192, 336, 389, 337)(193, 338, 249, 339)(198, 347, 214, 348)(199, 349, 302, 350)(211, 367, 476, 368)(212, 344, 405, 369)(215, 372, 456, 373)(216, 374, 375, 217)(218, 309, 308, 376)(219, 377, 276, 275)(220, 268, 378, 221)(223, 381, 351, 331)(224, 382, 317, 383)(226, 325, 346, 386)(229, 324, 323, 387)(231, 280, 430, 388)(236, 392, 487, 393)(237, 278, 414, 258)(240, 397, 411, 398)(241, 301, 403, 246)(248, 406, 448, 407)(251, 314, 370, 354)(252, 409, 492, 410)(260, 415, 497, 416)(264, 419, 494, 420)(265, 421, 422, 266)(267, 401, 400, 423)(269, 274, 424, 270)(273, 426, 408, 427)(279, 429, 455, 380)(292, 359, 358, 440)(293, 441, 442, 294)(296, 390, 444, 299)(307, 446, 467, 447)(313, 449, 499, 450)(326, 385, 484, 445)(330, 459, 481, 379)(334, 435, 466, 460)(335, 396, 463, 340)(342, 452, 489, 464)(345, 432, 501, 465)(353, 468, 503, 469)(357, 471, 478, 472)(360, 439, 462, 473)(364, 474, 399, 475)(371, 477, 486, 457)(384, 483, 493, 425)(391, 458, 488, 394)(404, 490, 479, 491)(413, 495, 461, 496)(418, 498, 434, 433)(428, 438, 500, 431)(436, 485, 470, 502)(453, 482, 480, 504)(505, 506, 508)(507, 512, 514)(509, 517, 518)(510, 519, 521)(511, 522, 523)(513, 526, 527)(515, 530, 532)(516, 533, 524)(520, 538, 539)(525, 546, 547)(528, 552, 554)(529, 555, 548)(531, 557, 558)(534, 551, 564)(535, 565, 566)(536, 567, 568)(537, 569, 570)(540, 575, 577)(541, 578, 571)(542, 574, 580)(543, 581, 582)(544, 583, 584)(545, 585, 586)(549, 591, 592)(550, 593, 595)(553, 597, 598)(556, 603, 604)(559, 609, 611)(560, 612, 605)(561, 608, 614)(562, 615, 616)(563, 617, 618)(572, 631, 632)(573, 633, 635)(576, 637, 638)(579, 643, 644)(587, 655, 657)(588, 658, 659)(589, 660, 661)(590, 662, 663)(594, 668, 669)(596, 672, 673)(599, 678, 680)(600, 681, 674)(601, 677, 683)(602, 684, 685)(606, 690, 691)(607, 692, 694)(610, 696, 697)(613, 702, 703)(619, 713, 715)(620, 716, 709)(621, 712, 718)(622, 719, 720)(623, 721, 722)(624, 723, 724)(625, 725, 727)(626, 728, 627)(628, 730, 731)(629, 732, 733)(630, 734, 735)(634, 740, 741)(636, 744, 745)(639, 750, 752)(640, 753, 746)(641, 749, 755)(642, 756, 757)(645, 762, 764)(646, 765, 758)(647, 761, 767)(648, 768, 769)(649, 770, 771)(650, 772, 773)(651, 774, 776)(652, 777, 686)(653, 778, 779)(654, 780, 782)(656, 783, 784)(664, 793, 795)(665, 796, 797)(666, 798, 799)(667, 738, 800)(670, 803, 805)(671, 806, 801)(675, 811, 812)(676, 813, 815)(679, 817, 818)(682, 763, 821)(687, 791, 827)(688, 828, 789)(689, 829, 830)(693, 834, 835)(695, 838, 839)(698, 844, 846)(699, 814, 840)(700, 843, 848)(701, 849, 850)(704, 855, 857)(705, 858, 851)(706, 854, 860)(707, 861, 862)(708, 863, 864)(710, 865, 808)(711, 866, 868)(714, 870, 847)(717, 874, 875)(726, 883, 884)(729, 888, 889)(736, 892, 893)(737, 879, 894)(739, 833, 895)(742, 898, 900)(743, 867, 896)(747, 903, 904)(748, 905, 906)(751, 908, 909)(754, 856, 912)(759, 804, 902)(760, 915, 917)(766, 873, 922)(775, 802, 929)(781, 897, 932)(785, 935, 936)(786, 872, 933)(787, 923, 937)(788, 938, 939)(790, 940, 807)(792, 826, 942)(794, 842, 943)(809, 836, 946)(810, 831, 949)(816, 919, 952)(819, 910, 956)(820, 869, 953)(822, 845, 957)(823, 886, 959)(824, 925, 960)(825, 876, 961)(832, 926, 962)(837, 916, 963)(841, 965, 966)(852, 899, 964)(853, 970, 971)(859, 921, 974)(871, 955, 967)(877, 924, 976)(878, 982, 969)(880, 983, 881)(882, 927, 984)(885, 986, 968)(887, 920, 987)(890, 975, 989)(891, 990, 901)(907, 972, 993)(911, 918, 994)(913, 930, 997)(914, 944, 998)(928, 977, 1003)(931, 973, 1004)(934, 985, 1000)(941, 991, 979)(945, 996, 1001)(947, 950, 988)(948, 1005, 1007)(951, 1002, 995)(954, 999, 981)(958, 980, 992)(978, 1006, 1008)
	L = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)
	local type(s) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E22.1749
Transitivity :: ET+
Graph:: simple bipartite
	v = 294 e = 504 f = 168
	degree seq :: [ 3^168, 4^126 ]

E22.1748 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 881>$ (small group id <1008, 881>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^4, (T2, T1^-1)^3, T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 505, 3, 507, 5, 509)(2, 506, 6, 510, 7, 511)(4, 508, 10, 514, 11, 515)(8, 512, 18, 522, 19, 523)(9, 513, 20, 524, 21, 525)(12, 516, 26, 530, 27, 531)(13, 517, 28, 532, 29, 533)(14, 518, 30, 534, 31, 535)(15, 519, 32, 536, 33, 537)(16, 520, 34, 538, 35, 539)(17, 521, 36, 540, 37, 541)(22, 526, 46, 550, 47, 551)(23, 527, 48, 552, 49, 553)(24, 528, 50, 554, 51, 555)(25, 529, 52, 556, 38, 542)(39, 543, 73, 577, 74, 578)(40, 544, 75, 579, 76, 580)(41, 545, 77, 581, 78, 582)(42, 546, 79, 583, 80, 584)(43, 547, 81, 585, 82, 586)(44, 548, 83, 587, 84, 588)(45, 549, 85, 589, 53, 557)(54, 558, 98, 602, 99, 603)(55, 559, 100, 604, 101, 605)(56, 560, 102, 606, 103, 607)(57, 561, 104, 608, 105, 609)(58, 562, 106, 610, 107, 611)(59, 563, 108, 612, 109, 613)(60, 564, 110, 614, 111, 615)(61, 565, 112, 616, 113, 617)(62, 566, 114, 618, 115, 619)(63, 567, 116, 620, 117, 621)(64, 568, 118, 622, 119, 623)(65, 569, 120, 624, 66, 570)(67, 571, 121, 625, 122, 626)(68, 572, 123, 627, 124, 628)(69, 573, 125, 629, 126, 630)(70, 574, 127, 631, 128, 632)(71, 575, 129, 633, 130, 634)(72, 576, 131, 635, 132, 636)(86, 590, 155, 659, 156, 660)(87, 591, 150, 654, 157, 661)(88, 592, 158, 662, 159, 663)(89, 593, 160, 664, 161, 665)(90, 594, 162, 666, 163, 667)(91, 595, 164, 668, 92, 596)(93, 597, 165, 669, 166, 670)(94, 598, 167, 671, 168, 672)(95, 599, 169, 673, 170, 674)(96, 600, 171, 675, 172, 676)(97, 601, 173, 677, 174, 678)(133, 637, 228, 732, 229, 733)(134, 638, 230, 734, 231, 735)(135, 639, 182, 686, 232, 736)(136, 640, 233, 737, 137, 641)(138, 642, 234, 738, 235, 739)(139, 643, 236, 740, 216, 720)(140, 644, 237, 741, 206, 710)(141, 645, 205, 709, 238, 742)(142, 646, 239, 743, 240, 744)(143, 647, 241, 745, 218, 722)(144, 648, 191, 695, 242, 746)(145, 649, 243, 747, 221, 725)(146, 650, 244, 748, 203, 707)(147, 651, 245, 749, 211, 715)(148, 652, 246, 750, 149, 653)(151, 655, 247, 751, 214, 718)(152, 656, 248, 752, 249, 753)(153, 657, 250, 754, 251, 755)(154, 658, 252, 756, 253, 757)(175, 679, 276, 780, 277, 781)(176, 680, 260, 764, 220, 724)(177, 681, 278, 782, 178, 682)(179, 683, 262, 766, 197, 701)(180, 684, 269, 773, 215, 719)(181, 685, 256, 760, 279, 783)(183, 687, 258, 762, 280, 784)(184, 688, 281, 785, 282, 786)(185, 689, 283, 787, 268, 772)(186, 690, 267, 771, 204, 708)(187, 691, 259, 763, 284, 788)(188, 692, 285, 789, 286, 790)(189, 693, 287, 791, 190, 694)(192, 696, 217, 721, 288, 792)(193, 697, 289, 793, 194, 698)(195, 699, 290, 794, 291, 795)(196, 700, 292, 796, 270, 774)(198, 702, 261, 765, 293, 797)(199, 703, 294, 798, 295, 799)(200, 704, 296, 800, 272, 776)(201, 705, 225, 729, 297, 801)(202, 706, 298, 802, 274, 778)(207, 711, 299, 803, 300, 804)(208, 712, 301, 805, 302, 806)(209, 713, 303, 807, 304, 808)(210, 714, 305, 809, 306, 810)(212, 716, 307, 811, 213, 717)(219, 723, 308, 812, 309, 813)(222, 726, 310, 814, 311, 815)(223, 727, 312, 816, 224, 728)(226, 730, 271, 775, 313, 817)(227, 731, 314, 818, 254, 758)(255, 759, 340, 844, 341, 845)(257, 761, 342, 846, 343, 847)(263, 767, 344, 848, 345, 849)(264, 768, 346, 850, 347, 851)(265, 769, 348, 852, 349, 853)(266, 770, 350, 854, 351, 855)(273, 777, 352, 856, 353, 857)(275, 779, 354, 858, 355, 859)(315, 819, 401, 905, 336, 840)(316, 820, 327, 831, 402, 906)(317, 821, 403, 907, 338, 842)(318, 822, 404, 908, 405, 909)(319, 823, 406, 910, 407, 911)(320, 824, 408, 912, 409, 913)(321, 825, 410, 914, 411, 915)(322, 826, 412, 916, 323, 827)(324, 828, 413, 917, 414, 918)(325, 829, 415, 919, 326, 830)(328, 832, 335, 839, 392, 896)(329, 833, 416, 920, 330, 834)(331, 835, 417, 921, 393, 897)(332, 836, 418, 922, 387, 891)(333, 837, 390, 894, 394, 898)(334, 838, 419, 923, 420, 924)(337, 841, 421, 925, 422, 926)(339, 843, 423, 927, 424, 928)(356, 860, 436, 940, 371, 875)(357, 861, 363, 867, 375, 879)(358, 862, 396, 900, 437, 941)(359, 863, 427, 931, 429, 933)(360, 864, 428, 932, 438, 942)(361, 865, 439, 943, 362, 866)(364, 868, 370, 874, 440, 944)(365, 869, 441, 945, 366, 870)(367, 871, 379, 883, 384, 888)(368, 872, 442, 946, 385, 889)(369, 873, 378, 882, 443, 947)(372, 876, 444, 948, 445, 949)(373, 877, 446, 950, 374, 878)(376, 880, 447, 951, 377, 881)(380, 884, 448, 952, 381, 885)(382, 886, 449, 953, 434, 938)(383, 887, 450, 954, 432, 936)(386, 890, 451, 955, 452, 956)(388, 892, 453, 957, 454, 958)(389, 893, 455, 959, 400, 904)(391, 895, 435, 939, 456, 960)(395, 899, 399, 903, 457, 961)(397, 901, 458, 962, 430, 934)(398, 902, 426, 930, 459, 963)(425, 929, 474, 978, 460, 964)(431, 935, 475, 979, 476, 980)(433, 937, 477, 981, 478, 982)(461, 965, 490, 994, 472, 976)(462, 966, 491, 995, 471, 975)(463, 967, 481, 985, 492, 996)(464, 968, 480, 984, 493, 997)(465, 969, 494, 998, 468, 972)(466, 970, 473, 977, 495, 999)(467, 971, 470, 974, 496, 1000)(469, 973, 497, 1001, 479, 983)(482, 986, 498, 1002, 485, 989)(483, 987, 488, 992, 499, 1003)(484, 988, 487, 991, 500, 1004)(486, 990, 501, 1005, 489, 993)(502, 1006, 504, 1008, 503, 1007)
	L = (1, 506)(2, 508)(3, 512)(4, 505)(5, 516)(6, 518)(7, 520)(8, 513)(9, 507)(10, 526)(11, 528)(12, 517)(13, 509)(14, 519)(15, 510)(16, 521)(17, 511)(18, 542)(19, 544)(20, 546)(21, 548)(22, 527)(23, 514)(24, 529)(25, 515)(26, 557)(27, 559)(28, 561)(29, 563)(30, 533)(31, 564)(32, 566)(33, 568)(34, 570)(35, 572)(36, 574)(37, 576)(38, 543)(39, 522)(40, 545)(41, 523)(42, 547)(43, 524)(44, 549)(45, 525)(46, 541)(47, 590)(48, 592)(49, 594)(50, 596)(51, 598)(52, 600)(53, 558)(54, 530)(55, 560)(56, 531)(57, 562)(58, 532)(59, 534)(60, 565)(61, 535)(62, 567)(63, 536)(64, 569)(65, 537)(66, 571)(67, 538)(68, 573)(69, 539)(70, 575)(71, 540)(72, 550)(73, 637)(74, 639)(75, 641)(76, 643)(77, 622)(78, 646)(79, 582)(80, 647)(81, 649)(82, 651)(83, 653)(84, 655)(85, 657)(86, 591)(87, 551)(88, 593)(89, 552)(90, 595)(91, 553)(92, 597)(93, 554)(94, 599)(95, 555)(96, 601)(97, 556)(98, 679)(99, 632)(100, 682)(101, 684)(102, 686)(103, 688)(104, 607)(105, 689)(106, 690)(107, 692)(108, 694)(109, 696)(110, 698)(111, 700)(112, 666)(113, 703)(114, 617)(115, 704)(116, 706)(117, 708)(118, 645)(119, 710)(120, 712)(121, 714)(122, 676)(123, 717)(124, 719)(125, 721)(126, 723)(127, 630)(128, 681)(129, 724)(130, 726)(131, 728)(132, 730)(133, 638)(134, 577)(135, 640)(136, 578)(137, 642)(138, 579)(139, 644)(140, 580)(141, 581)(142, 583)(143, 648)(144, 584)(145, 650)(146, 585)(147, 652)(148, 586)(149, 654)(150, 587)(151, 656)(152, 588)(153, 658)(154, 589)(155, 758)(156, 760)(157, 761)(158, 661)(159, 762)(160, 763)(161, 764)(162, 702)(163, 766)(164, 768)(165, 770)(166, 609)(167, 772)(168, 773)(169, 775)(170, 777)(171, 674)(172, 716)(173, 749)(174, 779)(175, 680)(176, 602)(177, 603)(178, 683)(179, 604)(180, 685)(181, 605)(182, 687)(183, 606)(184, 608)(185, 670)(186, 691)(187, 610)(188, 693)(189, 611)(190, 695)(191, 612)(192, 697)(193, 613)(194, 699)(195, 614)(196, 701)(197, 615)(198, 616)(199, 618)(200, 705)(201, 619)(202, 707)(203, 620)(204, 709)(205, 621)(206, 711)(207, 623)(208, 713)(209, 624)(210, 715)(211, 625)(212, 626)(213, 718)(214, 627)(215, 720)(216, 628)(217, 722)(218, 629)(219, 631)(220, 725)(221, 633)(222, 727)(223, 634)(224, 729)(225, 635)(226, 731)(227, 636)(228, 678)(229, 819)(230, 821)(231, 663)(232, 783)(233, 823)(234, 825)(235, 755)(236, 827)(237, 671)(238, 828)(239, 830)(240, 832)(241, 834)(242, 836)(243, 746)(244, 664)(245, 778)(246, 837)(247, 660)(248, 839)(249, 841)(250, 753)(251, 826)(252, 789)(253, 843)(254, 759)(255, 659)(256, 751)(257, 662)(258, 735)(259, 748)(260, 765)(261, 665)(262, 767)(263, 667)(264, 769)(265, 668)(266, 771)(267, 669)(268, 741)(269, 774)(270, 672)(271, 776)(272, 673)(273, 675)(274, 677)(275, 732)(276, 757)(277, 860)(278, 862)(279, 822)(280, 864)(281, 866)(282, 868)(283, 870)(284, 734)(285, 842)(286, 738)(287, 872)(288, 740)(289, 874)(290, 876)(291, 806)(292, 878)(293, 879)(294, 881)(295, 883)(296, 885)(297, 887)(298, 801)(299, 888)(300, 890)(301, 804)(302, 877)(303, 814)(304, 892)(305, 808)(306, 893)(307, 895)(308, 897)(309, 899)(310, 891)(311, 794)(312, 901)(313, 796)(314, 903)(315, 820)(316, 733)(317, 788)(318, 736)(319, 824)(320, 737)(321, 790)(322, 739)(323, 792)(324, 829)(325, 742)(326, 831)(327, 743)(328, 833)(329, 744)(330, 835)(331, 745)(332, 747)(333, 838)(334, 750)(335, 840)(336, 752)(337, 754)(338, 756)(339, 780)(340, 929)(341, 851)(342, 924)(343, 931)(344, 933)(345, 935)(346, 849)(347, 908)(348, 858)(349, 937)(350, 853)(351, 912)(352, 938)(353, 911)(354, 936)(355, 844)(356, 861)(357, 781)(358, 863)(359, 782)(360, 865)(361, 784)(362, 867)(363, 785)(364, 869)(365, 786)(366, 871)(367, 787)(368, 873)(369, 791)(370, 875)(371, 793)(372, 815)(373, 795)(374, 817)(375, 880)(376, 797)(377, 882)(378, 798)(379, 884)(380, 799)(381, 886)(382, 800)(383, 802)(384, 889)(385, 803)(386, 805)(387, 807)(388, 809)(389, 894)(390, 810)(391, 896)(392, 811)(393, 898)(394, 812)(395, 900)(396, 813)(397, 902)(398, 816)(399, 904)(400, 818)(401, 964)(402, 966)(403, 906)(404, 845)(405, 967)(406, 909)(407, 939)(408, 917)(409, 968)(410, 913)(411, 969)(412, 970)(413, 855)(414, 856)(415, 957)(416, 955)(417, 973)(418, 947)(419, 927)(420, 930)(421, 976)(422, 941)(423, 975)(424, 921)(425, 859)(426, 846)(427, 932)(428, 847)(429, 934)(430, 848)(431, 850)(432, 852)(433, 854)(434, 918)(435, 857)(436, 983)(437, 977)(438, 925)(439, 984)(440, 916)(441, 985)(442, 915)(443, 974)(444, 940)(445, 986)(446, 987)(447, 981)(448, 979)(449, 990)(450, 963)(451, 972)(452, 960)(453, 971)(454, 953)(455, 993)(456, 992)(457, 950)(458, 949)(459, 991)(460, 965)(461, 905)(462, 907)(463, 910)(464, 914)(465, 946)(466, 944)(467, 919)(468, 920)(469, 928)(470, 922)(471, 923)(472, 942)(473, 926)(474, 959)(475, 989)(476, 945)(477, 988)(478, 943)(479, 948)(480, 982)(481, 980)(482, 962)(483, 961)(484, 951)(485, 952)(486, 958)(487, 954)(488, 956)(489, 978)(490, 1006)(491, 1000)(492, 999)(493, 994)(494, 1007)(495, 1003)(496, 1004)(497, 998)(498, 1008)(499, 996)(500, 995)(501, 1002)(502, 997)(503, 1001)(504, 1005)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1746
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 504 f = 294
	degree seq :: [ 6^168 ]

E22.1749 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 883>$ (small group id <1008, 883>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^4, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 505, 3, 507, 5, 509)(2, 506, 6, 510, 7, 511)(4, 508, 10, 514, 11, 515)(8, 512, 18, 522, 19, 523)(9, 513, 20, 524, 21, 525)(12, 516, 26, 530, 27, 531)(13, 517, 28, 532, 29, 533)(14, 518, 30, 534, 31, 535)(15, 519, 32, 536, 33, 537)(16, 520, 34, 538, 35, 539)(17, 521, 36, 540, 37, 541)(22, 526, 46, 550, 47, 551)(23, 527, 48, 552, 49, 553)(24, 528, 50, 554, 51, 555)(25, 529, 52, 556, 38, 542)(39, 543, 73, 577, 74, 578)(40, 544, 75, 579, 76, 580)(41, 545, 77, 581, 78, 582)(42, 546, 79, 583, 80, 584)(43, 547, 81, 585, 82, 586)(44, 548, 83, 587, 84, 588)(45, 549, 85, 589, 53, 557)(54, 558, 98, 602, 99, 603)(55, 559, 100, 604, 101, 605)(56, 560, 102, 606, 103, 607)(57, 561, 104, 608, 105, 609)(58, 562, 106, 610, 107, 611)(59, 563, 108, 612, 109, 613)(60, 564, 110, 614, 111, 615)(61, 565, 112, 616, 113, 617)(62, 566, 114, 618, 115, 619)(63, 567, 116, 620, 117, 621)(64, 568, 118, 622, 119, 623)(65, 569, 120, 624, 66, 570)(67, 571, 121, 625, 122, 626)(68, 572, 123, 627, 124, 628)(69, 573, 125, 629, 126, 630)(70, 574, 127, 631, 128, 632)(71, 575, 129, 633, 130, 634)(72, 576, 131, 635, 132, 636)(86, 590, 156, 660, 157, 661)(87, 591, 158, 662, 159, 663)(88, 592, 160, 664, 161, 665)(89, 593, 162, 666, 163, 667)(90, 594, 164, 668, 165, 669)(91, 595, 166, 670, 92, 596)(93, 597, 167, 671, 168, 672)(94, 598, 169, 673, 170, 674)(95, 599, 171, 675, 172, 676)(96, 600, 173, 677, 174, 678)(97, 601, 175, 679, 176, 680)(133, 637, 238, 742, 239, 743)(134, 638, 240, 744, 241, 745)(135, 639, 242, 746, 243, 747)(136, 640, 244, 748, 137, 641)(138, 642, 245, 749, 214, 718)(139, 643, 246, 750, 247, 751)(140, 644, 248, 752, 249, 753)(141, 645, 250, 754, 229, 733)(142, 646, 251, 755, 206, 710)(143, 647, 252, 756, 253, 757)(144, 648, 254, 758, 255, 759)(145, 649, 256, 760, 257, 761)(146, 650, 258, 762, 259, 763)(147, 651, 260, 764, 261, 765)(148, 652, 262, 766, 263, 767)(149, 653, 264, 768, 150, 654)(151, 655, 265, 769, 212, 716)(152, 656, 266, 770, 267, 771)(153, 657, 268, 772, 269, 773)(154, 658, 270, 774, 271, 775)(155, 659, 272, 776, 273, 777)(177, 681, 306, 810, 232, 736)(178, 682, 307, 811, 308, 812)(179, 683, 292, 796, 219, 723)(180, 684, 309, 813, 181, 685)(182, 686, 310, 814, 311, 815)(183, 687, 312, 816, 313, 817)(184, 688, 314, 818, 315, 819)(185, 689, 316, 820, 228, 732)(186, 690, 317, 821, 318, 822)(187, 691, 319, 823, 320, 824)(188, 692, 298, 802, 321, 825)(189, 693, 277, 781, 322, 826)(190, 694, 323, 827, 324, 828)(191, 695, 325, 829, 326, 830)(192, 696, 290, 794, 327, 831)(193, 697, 328, 832, 194, 698)(195, 699, 329, 833, 330, 834)(196, 700, 331, 835, 332, 836)(197, 701, 333, 837, 198, 702)(199, 703, 334, 838, 287, 791)(200, 704, 335, 839, 336, 840)(201, 705, 337, 841, 338, 842)(202, 706, 339, 843, 302, 806)(203, 707, 340, 844, 280, 784)(204, 708, 341, 845, 342, 846)(205, 709, 343, 847, 344, 848)(207, 711, 345, 849, 346, 850)(208, 712, 347, 851, 348, 852)(209, 713, 349, 853, 350, 854)(210, 714, 351, 855, 211, 715)(213, 717, 352, 856, 353, 857)(215, 719, 354, 858, 355, 859)(216, 720, 356, 860, 357, 861)(217, 721, 358, 862, 305, 809)(218, 722, 359, 863, 360, 864)(220, 724, 361, 865, 221, 725)(222, 726, 362, 866, 363, 867)(223, 727, 364, 868, 365, 869)(224, 728, 366, 870, 367, 871)(225, 729, 368, 872, 301, 805)(226, 730, 369, 873, 370, 874)(227, 731, 371, 875, 372, 876)(230, 734, 373, 877, 374, 878)(231, 735, 375, 879, 376, 880)(233, 737, 377, 881, 234, 738)(235, 739, 378, 882, 379, 883)(236, 740, 380, 884, 381, 885)(237, 741, 382, 886, 274, 778)(275, 779, 411, 915, 417, 921)(276, 780, 418, 922, 419, 923)(278, 782, 401, 905, 420, 924)(279, 783, 389, 893, 421, 925)(281, 785, 422, 926, 423, 927)(282, 786, 404, 908, 424, 928)(283, 787, 384, 888, 425, 929)(284, 788, 426, 930, 285, 789)(286, 790, 409, 913, 427, 931)(288, 792, 428, 932, 429, 933)(289, 793, 395, 899, 430, 934)(291, 795, 431, 935, 432, 936)(293, 797, 433, 937, 294, 798)(295, 799, 397, 901, 434, 938)(296, 800, 435, 939, 436, 940)(297, 801, 392, 896, 437, 941)(299, 803, 438, 942, 439, 943)(300, 804, 440, 944, 407, 911)(303, 807, 441, 945, 414, 918)(304, 808, 442, 946, 403, 907)(383, 887, 474, 978, 447, 951)(385, 889, 451, 955, 475, 979)(386, 890, 454, 958, 387, 891)(388, 892, 476, 980, 445, 949)(390, 894, 477, 981, 478, 982)(391, 895, 479, 983, 416, 920)(393, 897, 455, 959, 480, 984)(394, 898, 481, 985, 413, 917)(396, 900, 446, 950, 482, 986)(398, 902, 443, 947, 483, 987)(399, 903, 484, 988, 400, 904)(402, 906, 449, 953, 485, 989)(405, 909, 486, 990, 406, 910)(408, 912, 487, 991, 488, 992)(410, 914, 448, 952, 489, 993)(412, 916, 490, 994, 452, 956)(415, 919, 491, 995, 450, 954)(444, 948, 494, 998, 459, 963)(453, 957, 495, 999, 469, 973)(456, 960, 496, 1000, 466, 970)(457, 961, 473, 977, 497, 1001)(458, 962, 468, 972, 498, 1002)(460, 964, 499, 1003, 461, 965)(462, 966, 500, 1004, 463, 967)(464, 968, 470, 974, 501, 1005)(465, 969, 502, 1006, 471, 975)(467, 971, 503, 1007, 492, 996)(472, 976, 504, 1008, 493, 997)
	L = (1, 506)(2, 508)(3, 512)(4, 505)(5, 516)(6, 518)(7, 520)(8, 513)(9, 507)(10, 526)(11, 528)(12, 517)(13, 509)(14, 519)(15, 510)(16, 521)(17, 511)(18, 542)(19, 544)(20, 546)(21, 548)(22, 527)(23, 514)(24, 529)(25, 515)(26, 557)(27, 559)(28, 561)(29, 563)(30, 533)(31, 564)(32, 566)(33, 568)(34, 570)(35, 572)(36, 574)(37, 576)(38, 543)(39, 522)(40, 545)(41, 523)(42, 547)(43, 524)(44, 549)(45, 525)(46, 541)(47, 590)(48, 592)(49, 594)(50, 596)(51, 598)(52, 600)(53, 558)(54, 530)(55, 560)(56, 531)(57, 562)(58, 532)(59, 534)(60, 565)(61, 535)(62, 567)(63, 536)(64, 569)(65, 537)(66, 571)(67, 538)(68, 573)(69, 539)(70, 575)(71, 540)(72, 550)(73, 637)(74, 639)(75, 641)(76, 643)(77, 645)(78, 647)(79, 582)(80, 648)(81, 650)(82, 652)(83, 654)(84, 656)(85, 658)(86, 591)(87, 551)(88, 593)(89, 552)(90, 595)(91, 553)(92, 597)(93, 554)(94, 599)(95, 555)(96, 601)(97, 556)(98, 681)(99, 683)(100, 685)(101, 687)(102, 689)(103, 691)(104, 607)(105, 692)(106, 694)(107, 696)(108, 698)(109, 700)(110, 702)(111, 704)(112, 706)(113, 708)(114, 617)(115, 709)(116, 711)(117, 713)(118, 715)(119, 717)(120, 719)(121, 721)(122, 723)(123, 725)(124, 727)(125, 729)(126, 731)(127, 630)(128, 732)(129, 734)(130, 736)(131, 738)(132, 740)(133, 638)(134, 577)(135, 640)(136, 578)(137, 642)(138, 579)(139, 644)(140, 580)(141, 646)(142, 581)(143, 583)(144, 649)(145, 584)(146, 651)(147, 585)(148, 653)(149, 586)(150, 655)(151, 587)(152, 657)(153, 588)(154, 659)(155, 589)(156, 778)(157, 779)(158, 781)(159, 782)(160, 663)(161, 783)(162, 785)(163, 787)(164, 789)(165, 790)(166, 792)(167, 794)(168, 796)(169, 798)(170, 800)(171, 802)(172, 804)(173, 676)(174, 805)(175, 807)(176, 809)(177, 682)(178, 602)(179, 684)(180, 603)(181, 686)(182, 604)(183, 688)(184, 605)(185, 690)(186, 606)(187, 608)(188, 693)(189, 609)(190, 695)(191, 610)(192, 697)(193, 611)(194, 699)(195, 612)(196, 701)(197, 613)(198, 703)(199, 614)(200, 705)(201, 615)(202, 707)(203, 616)(204, 618)(205, 710)(206, 619)(207, 712)(208, 620)(209, 714)(210, 621)(211, 716)(212, 622)(213, 718)(214, 623)(215, 720)(216, 624)(217, 722)(218, 625)(219, 724)(220, 626)(221, 726)(222, 627)(223, 728)(224, 628)(225, 730)(226, 629)(227, 631)(228, 733)(229, 632)(230, 735)(231, 633)(232, 737)(233, 634)(234, 739)(235, 635)(236, 741)(237, 636)(238, 680)(239, 887)(240, 888)(241, 884)(242, 891)(243, 892)(244, 893)(245, 895)(246, 857)(247, 868)(248, 898)(249, 877)(250, 753)(251, 900)(252, 848)(253, 902)(254, 904)(255, 866)(256, 662)(257, 906)(258, 761)(259, 863)(260, 851)(261, 879)(262, 910)(263, 873)(264, 912)(265, 668)(266, 855)(267, 870)(268, 660)(269, 916)(270, 773)(271, 917)(272, 841)(273, 920)(274, 772)(275, 780)(276, 661)(277, 760)(278, 664)(279, 784)(280, 665)(281, 786)(282, 666)(283, 788)(284, 667)(285, 769)(286, 791)(287, 669)(288, 793)(289, 670)(290, 795)(291, 671)(292, 797)(293, 672)(294, 799)(295, 673)(296, 801)(297, 674)(298, 803)(299, 675)(300, 677)(301, 806)(302, 678)(303, 808)(304, 679)(305, 742)(306, 777)(307, 880)(308, 947)(309, 864)(310, 845)(311, 747)(312, 949)(313, 869)(314, 839)(315, 950)(316, 819)(317, 876)(318, 743)(319, 951)(320, 854)(321, 941)(322, 923)(323, 826)(324, 859)(325, 955)(326, 850)(327, 934)(328, 957)(329, 766)(330, 746)(331, 958)(332, 959)(333, 758)(334, 960)(335, 931)(336, 939)(337, 919)(338, 945)(339, 842)(340, 962)(341, 925)(342, 963)(343, 965)(344, 901)(345, 755)(346, 935)(347, 908)(348, 946)(349, 967)(350, 942)(351, 914)(352, 930)(353, 896)(354, 749)(355, 954)(356, 922)(357, 970)(358, 861)(359, 907)(360, 948)(361, 936)(362, 905)(363, 836)(364, 897)(365, 940)(366, 915)(367, 972)(368, 871)(369, 911)(370, 832)(371, 973)(372, 929)(373, 754)(374, 933)(375, 909)(376, 927)(377, 976)(378, 853)(379, 835)(380, 890)(381, 977)(382, 847)(383, 822)(384, 889)(385, 744)(386, 745)(387, 834)(388, 815)(389, 894)(390, 748)(391, 858)(392, 750)(393, 751)(394, 899)(395, 752)(396, 849)(397, 756)(398, 903)(399, 757)(400, 837)(401, 759)(402, 762)(403, 763)(404, 764)(405, 765)(406, 833)(407, 767)(408, 913)(409, 768)(410, 770)(411, 771)(412, 774)(413, 918)(414, 775)(415, 776)(416, 810)(417, 816)(418, 969)(419, 827)(420, 996)(421, 814)(422, 844)(423, 811)(424, 829)(425, 821)(426, 968)(427, 818)(428, 838)(429, 975)(430, 956)(431, 830)(432, 971)(433, 812)(434, 885)(435, 961)(436, 817)(437, 953)(438, 824)(439, 881)(440, 997)(441, 843)(442, 966)(443, 937)(444, 813)(445, 921)(446, 820)(447, 952)(448, 823)(449, 825)(450, 828)(451, 928)(452, 831)(453, 874)(454, 883)(455, 867)(456, 932)(457, 840)(458, 926)(459, 964)(460, 846)(461, 886)(462, 852)(463, 882)(464, 856)(465, 860)(466, 862)(467, 865)(468, 872)(469, 974)(470, 875)(471, 878)(472, 943)(473, 938)(474, 1000)(475, 995)(476, 990)(477, 924)(478, 1008)(479, 982)(480, 1004)(481, 984)(482, 992)(483, 1002)(484, 978)(485, 1005)(486, 1006)(487, 944)(488, 1007)(489, 987)(490, 1003)(491, 1001)(492, 981)(493, 991)(494, 989)(495, 994)(496, 988)(497, 979)(498, 993)(499, 999)(500, 985)(501, 998)(502, 980)(503, 986)(504, 983)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E22.1747
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 504 f = 294
	degree seq :: [ 6^168 ]

E22.1750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 881>$ (small group id <1008, 881>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3, (Y2^-1, Y1^-1)^3, Y2^-2 * Y1^-1 * Y2^3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-3 * Y1, Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 505, 2, 506, 4, 508)(3, 507, 8, 512, 10, 514)(5, 509, 13, 517, 14, 518)(6, 510, 15, 519, 17, 521)(7, 511, 18, 522, 19, 523)(9, 513, 22, 526, 23, 527)(11, 515, 26, 530, 28, 532)(12, 516, 29, 533, 20, 524)(16, 520, 34, 538, 35, 539)(21, 525, 42, 546, 43, 547)(24, 528, 48, 552, 50, 554)(25, 529, 51, 555, 44, 548)(27, 531, 53, 557, 54, 558)(30, 534, 47, 551, 60, 564)(31, 535, 61, 565, 62, 566)(32, 536, 63, 567, 64, 568)(33, 537, 65, 569, 66, 570)(36, 540, 71, 575, 73, 577)(37, 541, 74, 578, 67, 571)(38, 542, 70, 574, 76, 580)(39, 543, 77, 581, 78, 582)(40, 544, 79, 583, 80, 584)(41, 545, 81, 585, 82, 586)(45, 549, 87, 591, 88, 592)(46, 550, 89, 593, 91, 595)(49, 553, 93, 597, 94, 598)(52, 556, 99, 603, 100, 604)(55, 559, 105, 609, 107, 611)(56, 560, 108, 612, 101, 605)(57, 561, 104, 608, 110, 614)(58, 562, 111, 615, 112, 616)(59, 563, 113, 617, 114, 618)(68, 572, 127, 631, 128, 632)(69, 573, 129, 633, 131, 635)(72, 576, 133, 637, 134, 638)(75, 579, 139, 643, 140, 644)(83, 587, 151, 655, 153, 657)(84, 588, 154, 658, 155, 659)(85, 589, 137, 641, 156, 660)(86, 590, 157, 661, 158, 662)(90, 594, 163, 667, 164, 668)(92, 596, 167, 671, 168, 672)(95, 599, 173, 677, 175, 679)(96, 600, 176, 680, 169, 673)(97, 601, 172, 676, 178, 682)(98, 602, 179, 683, 180, 684)(102, 606, 184, 688, 185, 689)(103, 607, 186, 690, 188, 692)(106, 610, 190, 694, 191, 695)(109, 613, 196, 700, 197, 701)(115, 619, 207, 711, 209, 713)(116, 620, 146, 650, 203, 707)(117, 621, 206, 710, 211, 715)(118, 622, 212, 716, 213, 717)(119, 623, 214, 718, 215, 719)(120, 624, 216, 720, 199, 703)(121, 625, 217, 721, 219, 723)(122, 626, 220, 724, 123, 627)(124, 628, 222, 726, 223, 727)(125, 629, 194, 698, 224, 728)(126, 630, 225, 729, 226, 730)(130, 634, 230, 734, 231, 735)(132, 636, 234, 738, 235, 739)(135, 639, 239, 743, 241, 745)(136, 640, 162, 666, 236, 740)(138, 642, 242, 746, 243, 747)(141, 645, 248, 752, 250, 754)(142, 646, 149, 653, 244, 748)(143, 647, 247, 751, 252, 756)(144, 648, 253, 757, 254, 758)(145, 649, 255, 759, 256, 760)(147, 651, 208, 712, 258, 762)(148, 652, 259, 763, 181, 685)(150, 654, 249, 753, 261, 765)(152, 656, 262, 766, 263, 767)(159, 663, 270, 774, 272, 776)(160, 664, 273, 777, 274, 778)(161, 665, 200, 704, 275, 779)(165, 669, 240, 744, 280, 784)(166, 670, 281, 785, 276, 780)(170, 674, 284, 788, 285, 789)(171, 675, 286, 790, 288, 792)(174, 678, 290, 794, 291, 795)(177, 681, 182, 686, 292, 796)(183, 687, 295, 799, 296, 800)(187, 691, 299, 803, 300, 804)(189, 693, 302, 806, 303, 807)(192, 696, 307, 811, 289, 793)(193, 697, 229, 733, 304, 808)(195, 699, 309, 813, 310, 814)(198, 702, 313, 817, 314, 818)(201, 705, 315, 819, 316, 820)(202, 706, 317, 821, 318, 822)(204, 708, 320, 824, 321, 825)(205, 709, 322, 826, 324, 828)(210, 714, 228, 732, 326, 830)(218, 722, 329, 833, 330, 834)(221, 725, 334, 838, 335, 839)(227, 731, 340, 844, 342, 846)(232, 736, 308, 812, 325, 829)(233, 737, 347, 851, 343, 847)(237, 741, 350, 854, 351, 855)(238, 742, 352, 856, 353, 857)(245, 749, 355, 859, 356, 860)(246, 750, 357, 861, 359, 863)(251, 755, 298, 802, 293, 797)(257, 761, 361, 865, 362, 866)(260, 764, 366, 870, 367, 871)(264, 768, 373, 877, 375, 879)(265, 769, 268, 772, 369, 873)(266, 770, 372, 876, 376, 880)(267, 771, 377, 881, 282, 786)(269, 773, 374, 878, 379, 883)(271, 775, 380, 884, 381, 885)(277, 781, 339, 843, 385, 889)(278, 782, 332, 836, 386, 890)(279, 783, 387, 891, 388, 892)(283, 787, 358, 862, 389, 893)(287, 791, 392, 896, 393, 897)(294, 798, 397, 901, 398, 902)(297, 801, 401, 905, 403, 907)(301, 805, 405, 909, 404, 908)(305, 809, 407, 911, 408, 912)(306, 810, 409, 913, 410, 914)(311, 815, 411, 915, 412, 916)(312, 816, 413, 917, 414, 918)(319, 823, 360, 864, 391, 895)(323, 827, 417, 921, 406, 910)(327, 831, 419, 923, 328, 832)(331, 835, 382, 886, 420, 924)(333, 837, 338, 842, 423, 927)(336, 840, 426, 930, 427, 931)(337, 841, 428, 932, 348, 852)(341, 845, 430, 934, 431, 935)(344, 848, 400, 904, 434, 938)(345, 849, 364, 868, 435, 939)(346, 850, 436, 940, 437, 941)(349, 853, 383, 887, 438, 942)(354, 858, 415, 919, 440, 944)(363, 867, 432, 936, 444, 948)(365, 869, 399, 903, 447, 951)(368, 872, 451, 955, 448, 952)(370, 874, 442, 946, 453, 957)(371, 875, 439, 943, 455, 959)(378, 882, 457, 961, 458, 962)(384, 888, 454, 958, 461, 965)(390, 894, 464, 968, 466, 970)(394, 898, 446, 950, 467, 971)(395, 899, 468, 972, 469, 973)(396, 900, 470, 974, 471, 975)(402, 906, 474, 978, 452, 956)(416, 920, 465, 969, 472, 976)(418, 922, 445, 949, 479, 983)(421, 925, 482, 986, 478, 982)(422, 926, 483, 987, 476, 980)(424, 928, 477, 981, 481, 985)(425, 929, 475, 979, 480, 984)(429, 933, 485, 989, 486, 990)(433, 937, 484, 988, 488, 992)(441, 945, 450, 954, 456, 960)(443, 947, 449, 953, 463, 967)(459, 963, 494, 998, 492, 996)(460, 964, 487, 991, 495, 999)(462, 966, 489, 993, 497, 1001)(473, 977, 499, 1003, 490, 994)(491, 995, 493, 997, 496, 1000)(498, 1002, 504, 1008, 503, 1007)(500, 1004, 501, 1005, 502, 1006)(1009, 1513, 1011, 1515, 1017, 1521, 1013, 1517)(1010, 1514, 1014, 1518, 1024, 1528, 1015, 1519)(1012, 1516, 1019, 1523, 1035, 1539, 1020, 1524)(1016, 1520, 1028, 1532, 1049, 1553, 1029, 1533)(1018, 1522, 1032, 1536, 1057, 1561, 1033, 1537)(1021, 1525, 1038, 1542, 1067, 1571, 1039, 1543)(1022, 1526, 1040, 1544, 1041, 1545, 1023, 1527)(1025, 1529, 1044, 1548, 1080, 1584, 1045, 1549)(1026, 1530, 1046, 1550, 1083, 1587, 1047, 1551)(1027, 1531, 1048, 1552, 1060, 1564, 1034, 1538)(1030, 1534, 1052, 1556, 1094, 1598, 1053, 1557)(1031, 1535, 1054, 1558, 1098, 1602, 1055, 1559)(1036, 1540, 1063, 1567, 1114, 1618, 1064, 1568)(1037, 1541, 1065, 1569, 1117, 1621, 1066, 1570)(1042, 1546, 1075, 1579, 1134, 1638, 1076, 1580)(1043, 1547, 1077, 1581, 1138, 1642, 1078, 1582)(1050, 1554, 1091, 1595, 1160, 1664, 1092, 1596)(1051, 1555, 1093, 1597, 1100, 1604, 1056, 1560)(1058, 1562, 1103, 1607, 1182, 1686, 1104, 1608)(1059, 1563, 1105, 1609, 1185, 1689, 1106, 1610)(1061, 1565, 1109, 1613, 1191, 1695, 1110, 1614)(1062, 1566, 1111, 1615, 1195, 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1680, 1217, 1721, 1297, 1801, 1181, 1685)(1183, 1687, 1247, 1751, 1243, 1747, 1258, 1762)(1184, 1688, 1194, 1698, 1193, 1697, 1260, 1764)(1187, 1691, 1222, 1726, 1221, 1725, 1261, 1765)(1192, 1696, 1305, 1809, 1410, 1914, 1306, 1810)(1196, 1700, 1299, 1803, 1403, 1907, 1309, 1813)(1198, 1702, 1312, 1816, 1414, 1918, 1313, 1817)(1199, 1703, 1314, 1818, 1345, 1849, 1232, 1736)(1204, 1708, 1224, 1728, 1336, 1840, 1319, 1823)(1205, 1709, 1320, 1824, 1391, 1895, 1283, 1787)(1220, 1724, 1317, 1821, 1325, 1829, 1324, 1828)(1223, 1727, 1300, 1804, 1404, 1908, 1335, 1839)(1227, 1731, 1310, 1814, 1401, 1905, 1339, 1843)(1228, 1732, 1340, 1844, 1393, 1897, 1341, 1845)(1230, 1734, 1344, 1848, 1423, 1927, 1326, 1830)(1233, 1737, 1251, 1755, 1281, 1785, 1346, 1850)(1234, 1738, 1347, 1851, 1437, 1941, 1348, 1852)(1238, 1742, 1351, 1855, 1441, 1945, 1352, 1856)(1239, 1743, 1353, 1857, 1298, 1802, 1256, 1760)(1242, 1746, 1356, 1860, 1376, 1880, 1269, 1773)(1249, 1753, 1315, 1819, 1311, 1815, 1322, 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2014, 1512, 2016, 1507, 2011)
	L = (1, 1011)(2, 1014)(3, 1017)(4, 1019)(5, 1009)(6, 1024)(7, 1010)(8, 1028)(9, 1013)(10, 1032)(11, 1035)(12, 1012)(13, 1038)(14, 1040)(15, 1022)(16, 1015)(17, 1044)(18, 1046)(19, 1048)(20, 1049)(21, 1016)(22, 1052)(23, 1054)(24, 1057)(25, 1018)(26, 1027)(27, 1020)(28, 1063)(29, 1065)(30, 1067)(31, 1021)(32, 1041)(33, 1023)(34, 1075)(35, 1077)(36, 1080)(37, 1025)(38, 1083)(39, 1026)(40, 1060)(41, 1029)(42, 1091)(43, 1093)(44, 1094)(45, 1030)(46, 1098)(47, 1031)(48, 1051)(49, 1033)(50, 1103)(51, 1105)(52, 1034)(53, 1109)(54, 1111)(55, 1114)(56, 1036)(57, 1117)(58, 1037)(59, 1039)(60, 1123)(61, 1125)(62, 1127)(63, 1070)(64, 1129)(65, 1131)(66, 1133)(67, 1134)(68, 1042)(69, 1138)(70, 1043)(71, 1074)(72, 1045)(73, 1143)(74, 1145)(75, 1047)(76, 1149)(77, 1151)(78, 1153)(79, 1086)(80, 1155)(81, 1120)(82, 1158)(83, 1160)(84, 1050)(85, 1100)(86, 1053)(87, 1167)(88, 1169)(89, 1096)(90, 1055)(91, 1173)(92, 1056)(93, 1177)(94, 1179)(95, 1182)(96, 1058)(97, 1185)(98, 1059)(99, 1189)(100, 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1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1752
Graph:: bipartite
	v = 294 e = 1008 f = 672
	degree seq :: [ 6^168, 8^126 ]

E22.1751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 883>$ (small group id <1008, 883>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y1^-1)^3, (Y1 * Y2)^3, Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 ]
Map::
	R = (1, 505, 2, 506, 4, 508)(3, 507, 8, 512, 10, 514)(5, 509, 13, 517, 14, 518)(6, 510, 15, 519, 17, 521)(7, 511, 18, 522, 19, 523)(9, 513, 22, 526, 23, 527)(11, 515, 26, 530, 28, 532)(12, 516, 29, 533, 20, 524)(16, 520, 34, 538, 35, 539)(21, 525, 42, 546, 43, 547)(24, 528, 48, 552, 50, 554)(25, 529, 51, 555, 44, 548)(27, 531, 53, 557, 54, 558)(30, 534, 47, 551, 60, 564)(31, 535, 61, 565, 62, 566)(32, 536, 63, 567, 64, 568)(33, 537, 65, 569, 66, 570)(36, 540, 71, 575, 73, 577)(37, 541, 74, 578, 67, 571)(38, 542, 70, 574, 76, 580)(39, 543, 77, 581, 78, 582)(40, 544, 79, 583, 80, 584)(41, 545, 81, 585, 82, 586)(45, 549, 87, 591, 88, 592)(46, 550, 89, 593, 91, 595)(49, 553, 93, 597, 94, 598)(52, 556, 99, 603, 100, 604)(55, 559, 105, 609, 107, 611)(56, 560, 108, 612, 101, 605)(57, 561, 104, 608, 110, 614)(58, 562, 111, 615, 112, 616)(59, 563, 113, 617, 114, 618)(68, 572, 127, 631, 128, 632)(69, 573, 129, 633, 131, 635)(72, 576, 133, 637, 134, 638)(75, 579, 139, 643, 140, 644)(83, 587, 151, 655, 153, 657)(84, 588, 154, 658, 155, 659)(85, 589, 156, 660, 157, 661)(86, 590, 158, 662, 159, 663)(90, 594, 164, 668, 165, 669)(92, 596, 168, 672, 169, 673)(95, 599, 174, 678, 176, 680)(96, 600, 177, 681, 170, 674)(97, 601, 173, 677, 179, 683)(98, 602, 180, 684, 181, 685)(102, 606, 186, 690, 187, 691)(103, 607, 188, 692, 190, 694)(106, 610, 192, 696, 193, 697)(109, 613, 198, 702, 199, 703)(115, 619, 209, 713, 211, 715)(116, 620, 212, 716, 205, 709)(117, 621, 208, 712, 214, 718)(118, 622, 215, 719, 216, 720)(119, 623, 217, 721, 218, 722)(120, 624, 219, 723, 220, 724)(121, 625, 221, 725, 223, 727)(122, 626, 224, 728, 123, 627)(124, 628, 226, 730, 227, 731)(125, 629, 228, 732, 229, 733)(126, 630, 230, 734, 231, 735)(130, 634, 236, 740, 237, 741)(132, 636, 240, 744, 241, 745)(135, 639, 246, 750, 248, 752)(136, 640, 249, 753, 242, 746)(137, 641, 245, 749, 251, 755)(138, 642, 252, 756, 253, 757)(141, 645, 258, 762, 260, 764)(142, 646, 261, 765, 254, 758)(143, 647, 257, 761, 263, 767)(144, 648, 264, 768, 265, 769)(145, 649, 266, 770, 267, 771)(146, 650, 268, 772, 269, 773)(147, 651, 270, 774, 272, 776)(148, 652, 273, 777, 182, 686)(149, 653, 274, 778, 275, 779)(150, 654, 276, 780, 278, 782)(152, 656, 279, 783, 280, 784)(160, 664, 289, 793, 291, 795)(161, 665, 292, 796, 293, 797)(162, 666, 294, 798, 295, 799)(163, 667, 234, 738, 296, 800)(166, 670, 299, 803, 301, 805)(167, 671, 302, 806, 297, 801)(171, 675, 307, 811, 308, 812)(172, 676, 309, 813, 311, 815)(175, 679, 313, 817, 314, 818)(178, 682, 259, 763, 317, 821)(183, 687, 287, 791, 323, 827)(184, 688, 324, 828, 285, 789)(185, 689, 325, 829, 326, 830)(189, 693, 330, 834, 331, 835)(191, 695, 334, 838, 335, 839)(194, 698, 340, 844, 342, 846)(195, 699, 310, 814, 336, 840)(196, 700, 339, 843, 344, 848)(197, 701, 345, 849, 346, 850)(200, 704, 351, 855, 353, 857)(201, 705, 354, 858, 347, 851)(202, 706, 350, 854, 356, 860)(203, 707, 357, 861, 358, 862)(204, 708, 359, 863, 360, 864)(206, 710, 361, 865, 304, 808)(207, 711, 362, 866, 364, 868)(210, 714, 366, 870, 343, 847)(213, 717, 370, 874, 371, 875)(222, 726, 379, 883, 380, 884)(225, 729, 384, 888, 385, 889)(232, 736, 388, 892, 389, 893)(233, 737, 375, 879, 390, 894)(235, 739, 329, 833, 391, 895)(238, 742, 394, 898, 396, 900)(239, 743, 363, 867, 392, 896)(243, 747, 399, 903, 400, 904)(244, 748, 401, 905, 402, 906)(247, 751, 404, 908, 405, 909)(250, 754, 352, 856, 408, 912)(255, 759, 300, 804, 398, 902)(256, 760, 411, 915, 413, 917)(262, 766, 369, 873, 418, 922)(271, 775, 298, 802, 425, 929)(277, 781, 393, 897, 428, 932)(281, 785, 431, 935, 432, 936)(282, 786, 368, 872, 429, 933)(283, 787, 419, 923, 433, 937)(284, 788, 434, 938, 435, 939)(286, 790, 436, 940, 303, 807)(288, 792, 322, 826, 438, 942)(290, 794, 338, 842, 439, 943)(305, 809, 332, 836, 442, 946)(306, 810, 327, 831, 445, 949)(312, 816, 415, 919, 448, 952)(315, 819, 406, 910, 452, 956)(316, 820, 365, 869, 449, 953)(318, 822, 341, 845, 453, 957)(319, 823, 382, 886, 455, 959)(320, 824, 421, 925, 456, 960)(321, 825, 372, 876, 457, 961)(328, 832, 422, 926, 458, 962)(333, 837, 412, 916, 459, 963)(337, 841, 461, 965, 462, 966)(348, 852, 395, 899, 460, 964)(349, 853, 466, 970, 467, 971)(355, 859, 417, 921, 470, 974)(367, 871, 451, 955, 463, 967)(373, 877, 420, 924, 472, 976)(374, 878, 478, 982, 465, 969)(376, 880, 479, 983, 377, 881)(378, 882, 423, 927, 480, 984)(381, 885, 482, 986, 464, 968)(383, 887, 416, 920, 483, 987)(386, 890, 471, 975, 485, 989)(387, 891, 486, 990, 397, 901)(403, 907, 468, 972, 489, 993)(407, 911, 414, 918, 490, 994)(409, 913, 426, 930, 493, 997)(410, 914, 440, 944, 494, 998)(424, 928, 473, 977, 499, 1003)(427, 931, 469, 973, 500, 1004)(430, 934, 481, 985, 496, 1000)(437, 941, 487, 991, 475, 979)(441, 945, 492, 996, 497, 1001)(443, 947, 446, 950, 484, 988)(444, 948, 501, 1005, 503, 1007)(447, 951, 498, 1002, 491, 995)(450, 954, 495, 999, 477, 981)(454, 958, 476, 980, 488, 992)(474, 978, 502, 1006, 504, 1008)(1009, 1513, 1011, 1515, 1017, 1521, 1013, 1517)(1010, 1514, 1014, 1518, 1024, 1528, 1015, 1519)(1012, 1516, 1019, 1523, 1035, 1539, 1020, 1524)(1016, 1520, 1028, 1532, 1049, 1553, 1029, 1533)(1018, 1522, 1032, 1536, 1057, 1561, 1033, 1537)(1021, 1525, 1038, 1542, 1067, 1571, 1039, 1543)(1022, 1526, 1040, 1544, 1041, 1545, 1023, 1527)(1025, 1529, 1044, 1548, 1080, 1584, 1045, 1549)(1026, 1530, 1046, 1550, 1083, 1587, 1047, 1551)(1027, 1531, 1048, 1552, 1060, 1564, 1034, 1538)(1030, 1534, 1052, 1556, 1094, 1598, 1053, 1557)(1031, 1535, 1054, 1558, 1098, 1602, 1055, 1559)(1036, 1540, 1063, 1567, 1114, 1618, 1064, 1568)(1037, 1541, 1065, 1569, 1117, 1621, 1066, 1570)(1042, 1546, 1075, 1579, 1134, 1638, 1076, 1580)(1043, 1547, 1077, 1581, 1138, 1642, 1078, 1582)(1050, 1554, 1091, 1595, 1160, 1664, 1092, 1596)(1051, 1555, 1093, 1597, 1100, 1604, 1056, 1560)(1058, 1562, 1103, 1607, 1183, 1687, 1104, 1608)(1059, 1563, 1105, 1609, 1186, 1690, 1106, 1610)(1061, 1565, 1109, 1613, 1193, 1697, 1110, 1614)(1062, 1566, 1111, 1615, 1197, 1701, 1112, 1616)(1068, 1572, 1123, 1627, 1218, 1722, 1124, 1628)(1069, 1573, 1125, 1629, 1221, 1725, 1126, 1630)(1070, 1574, 1127, 1631, 1128, 1632, 1071, 1575)(1072, 1576, 1129, 1633, 1230, 1734, 1130, 1634)(1073, 1577, 1131, 1635, 1233, 1737, 1132, 1636)(1074, 1578, 1133, 1637, 1140, 1644, 1079, 1583)(1081, 1585, 1143, 1647, 1255, 1759, 1144, 1648)(1082, 1586, 1145, 1649, 1258, 1762, 1146, 1650)(1084, 1588, 1149, 1653, 1267, 1771, 1150, 1654)(1085, 1589, 1151, 1655, 1270, 1774, 1152, 1656)(1086, 1590, 1153, 1657, 1154, 1658, 1087, 1591)(1088, 1592, 1155, 1659, 1279, 1783, 1156, 1660)(1089, 1593, 1120, 1624, 1212, 1716, 1157, 1661)(1090, 1594, 1158, 1662, 1285, 1789, 1159, 1663)(1095, 1599, 1168, 1672, 1298, 1802, 1169, 1673)(1096, 1600, 1170, 1674, 1171, 1675, 1097, 1601)(1099, 1603, 1174, 1678, 1308, 1812, 1175, 1679)(1101, 1605, 1178, 1682, 1314, 1818, 1179, 1683)(1102, 1606, 1180, 1684, 1318, 1822, 1181, 1685)(1107, 1611, 1190, 1694, 1330, 1834, 1191, 1695)(1108, 1612, 1192, 1696, 1199, 1703, 1113, 1617)(1115, 1619, 1202, 1706, 1349, 1853, 1203, 1707)(1116, 1620, 1204, 1708, 1351, 1855, 1205, 1709)(1118, 1622, 1208, 1712, 1360, 1864, 1209, 1713)(1119, 1623, 1210, 1714, 1363, 1867, 1211, 1715)(1121, 1625, 1213, 1717, 1271, 1775, 1214, 1718)(1122, 1626, 1215, 1719, 1371, 1875, 1216, 1720)(1135, 1639, 1240, 1744, 1319, 1823, 1241, 1745)(1136, 1640, 1242, 1746, 1243, 1747, 1137, 1641)(1139, 1643, 1246, 1750, 1403, 1907, 1247, 1751)(1141, 1645, 1250, 1754, 1299, 1803, 1251, 1755)(1142, 1646, 1252, 1756, 1185, 1689, 1253, 1757)(1147, 1651, 1262, 1766, 1364, 1868, 1263, 1767)(1148, 1652, 1264, 1768, 1420, 1924, 1265, 1769)(1161, 1665, 1289, 1793, 1374, 1878, 1290, 1794)(1162, 1666, 1238, 1742, 1261, 1765, 1291, 1795)(1163, 1667, 1292, 1796, 1293, 1797, 1164, 1668)(1165, 1669, 1236, 1740, 1235, 1739, 1294, 1798)(1166, 1670, 1189, 1693, 1329, 1833, 1295, 1799)(1167, 1671, 1296, 1800, 1445, 1949, 1297, 1801)(1172, 1676, 1305, 1809, 1451, 1955, 1306, 1810)(1173, 1677, 1280, 1784, 1373, 1877, 1217, 1721)(1176, 1680, 1311, 1815, 1370, 1874, 1312, 1816)(1177, 1681, 1313, 1817, 1320, 1824, 1182, 1686)(1184, 1688, 1323, 1827, 1459, 1963, 1324, 1828)(1187, 1691, 1326, 1830, 1425, 1929, 1269, 1773)(1188, 1692, 1327, 1831, 1462, 1966, 1328, 1832)(1194, 1698, 1335, 1839, 1410, 1914, 1336, 1840)(1195, 1699, 1337, 1841, 1303, 1807, 1196, 1700)(1198, 1702, 1340, 1844, 1369, 1873, 1341, 1845)(1200, 1704, 1344, 1848, 1397, 1901, 1345, 1849)(1201, 1705, 1346, 1850, 1257, 1761, 1347, 1851)(1206, 1710, 1355, 1859, 1222, 1726, 1356, 1860)(1207, 1711, 1357, 1861, 1310, 1814, 1358, 1862)(1219, 1723, 1375, 1879, 1484, 1988, 1376, 1880)(1220, 1724, 1352, 1856, 1413, 1917, 1377, 1881)(1223, 1727, 1380, 1884, 1464, 1968, 1381, 1885)(1224, 1728, 1382, 1886, 1383, 1887, 1225, 1729)(1226, 1730, 1317, 1821, 1316, 1820, 1384, 1888)(1227, 1731, 1385, 1889, 1284, 1788, 1283, 1787)(1228, 1732, 1276, 1780, 1386, 1890, 1229, 1733)(1231, 1735, 1389, 1893, 1359, 1863, 1339, 1843)(1232, 1736, 1390, 1894, 1325, 1829, 1391, 1895)(1234, 1738, 1333, 1837, 1354, 1858, 1394, 1898)(1237, 1741, 1332, 1836, 1331, 1835, 1395, 1899)(1239, 1743, 1288, 1792, 1438, 1942, 1396, 1900)(1244, 1748, 1400, 1904, 1495, 1999, 1401, 1905)(1245, 1749, 1286, 1790, 1422, 1926, 1266, 1770)(1248, 1752, 1405, 1909, 1419, 1923, 1406, 1910)(1249, 1753, 1309, 1813, 1411, 1915, 1254, 1758)(1256, 1760, 1414, 1918, 1456, 1960, 1415, 1919)(1259, 1763, 1322, 1826, 1378, 1882, 1362, 1866)(1260, 1764, 1417, 1921, 1500, 2004, 1418, 1922)(1268, 1772, 1423, 1927, 1505, 2009, 1424, 1928)(1272, 1776, 1427, 1931, 1502, 2006, 1428, 1932)(1273, 1777, 1429, 1933, 1430, 1934, 1274, 1778)(1275, 1779, 1409, 1913, 1408, 1912, 1431, 1935)(1277, 1781, 1282, 1786, 1432, 1936, 1278, 1782)(1281, 1785, 1434, 1938, 1416, 1920, 1435, 1939)(1287, 1791, 1437, 1941, 1463, 1967, 1388, 1892)(1300, 1804, 1367, 1871, 1366, 1870, 1448, 1952)(1301, 1805, 1449, 1953, 1450, 1954, 1302, 1806)(1304, 1808, 1398, 1902, 1452, 1956, 1307, 1811)(1315, 1819, 1454, 1958, 1475, 1979, 1455, 1959)(1321, 1825, 1457, 1961, 1507, 2011, 1458, 1962)(1334, 1838, 1393, 1897, 1492, 1996, 1453, 1957)(1338, 1842, 1467, 1971, 1489, 1993, 1387, 1891)(1342, 1846, 1443, 1947, 1474, 1978, 1468, 1972)(1343, 1847, 1404, 1908, 1471, 1975, 1348, 1852)(1350, 1854, 1460, 1964, 1497, 2001, 1472, 1976)(1353, 1857, 1440, 1944, 1509, 2013, 1473, 1977)(1361, 1865, 1476, 1980, 1511, 2015, 1477, 1981)(1365, 1869, 1479, 1983, 1486, 1990, 1480, 1984)(1368, 1872, 1447, 1951, 1470, 1974, 1481, 1985)(1372, 1876, 1482, 1986, 1407, 1911, 1483, 1987)(1379, 1883, 1485, 1989, 1494, 1998, 1465, 1969)(1392, 1896, 1491, 1995, 1501, 2005, 1433, 1937)(1399, 1903, 1466, 1970, 1496, 2000, 1402, 1906)(1412, 1916, 1498, 2002, 1487, 1991, 1499, 2003)(1421, 1925, 1503, 2007, 1469, 1973, 1504, 2008)(1426, 1930, 1506, 2010, 1442, 1946, 1441, 1945)(1436, 1940, 1446, 1950, 1508, 2012, 1439, 1943)(1444, 1948, 1493, 1997, 1478, 1982, 1510, 2014)(1461, 1965, 1490, 1994, 1488, 1992, 1512, 2016)
	L = (1, 1011)(2, 1014)(3, 1017)(4, 1019)(5, 1009)(6, 1024)(7, 1010)(8, 1028)(9, 1013)(10, 1032)(11, 1035)(12, 1012)(13, 1038)(14, 1040)(15, 1022)(16, 1015)(17, 1044)(18, 1046)(19, 1048)(20, 1049)(21, 1016)(22, 1052)(23, 1054)(24, 1057)(25, 1018)(26, 1027)(27, 1020)(28, 1063)(29, 1065)(30, 1067)(31, 1021)(32, 1041)(33, 1023)(34, 1075)(35, 1077)(36, 1080)(37, 1025)(38, 1083)(39, 1026)(40, 1060)(41, 1029)(42, 1091)(43, 1093)(44, 1094)(45, 1030)(46, 1098)(47, 1031)(48, 1051)(49, 1033)(50, 1103)(51, 1105)(52, 1034)(53, 1109)(54, 1111)(55, 1114)(56, 1036)(57, 1117)(58, 1037)(59, 1039)(60, 1123)(61, 1125)(62, 1127)(63, 1070)(64, 1129)(65, 1131)(66, 1133)(67, 1134)(68, 1042)(69, 1138)(70, 1043)(71, 1074)(72, 1045)(73, 1143)(74, 1145)(75, 1047)(76, 1149)(77, 1151)(78, 1153)(79, 1086)(80, 1155)(81, 1120)(82, 1158)(83, 1160)(84, 1050)(85, 1100)(86, 1053)(87, 1168)(88, 1170)(89, 1096)(90, 1055)(91, 1174)(92, 1056)(93, 1178)(94, 1180)(95, 1183)(96, 1058)(97, 1186)(98, 1059)(99, 1190)(100, 1192)(101, 1193)(102, 1061)(103, 1197)(104, 1062)(105, 1108)(106, 1064)(107, 1202)(108, 1204)(109, 1066)(110, 1208)(111, 1210)(112, 1212)(113, 1213)(114, 1215)(115, 1218)(116, 1068)(117, 1221)(118, 1069)(119, 1128)(120, 1071)(121, 1230)(122, 1072)(123, 1233)(124, 1073)(125, 1140)(126, 1076)(127, 1240)(128, 1242)(129, 1136)(130, 1078)(131, 1246)(132, 1079)(133, 1250)(134, 1252)(135, 1255)(136, 1081)(137, 1258)(138, 1082)(139, 1262)(140, 1264)(141, 1267)(142, 1084)(143, 1270)(144, 1085)(145, 1154)(146, 1087)(147, 1279)(148, 1088)(149, 1089)(150, 1285)(151, 1090)(152, 1092)(153, 1289)(154, 1238)(155, 1292)(156, 1163)(157, 1236)(158, 1189)(159, 1296)(160, 1298)(161, 1095)(162, 1171)(163, 1097)(164, 1305)(165, 1280)(166, 1308)(167, 1099)(168, 1311)(169, 1313)(170, 1314)(171, 1101)(172, 1318)(173, 1102)(174, 1177)(175, 1104)(176, 1323)(177, 1253)(178, 1106)(179, 1326)(180, 1327)(181, 1329)(182, 1330)(183, 1107)(184, 1199)(185, 1110)(186, 1335)(187, 1337)(188, 1195)(189, 1112)(190, 1340)(191, 1113)(192, 1344)(193, 1346)(194, 1349)(195, 1115)(196, 1351)(197, 1116)(198, 1355)(199, 1357)(200, 1360)(201, 1118)(202, 1363)(203, 1119)(204, 1157)(205, 1271)(206, 1121)(207, 1371)(208, 1122)(209, 1173)(210, 1124)(211, 1375)(212, 1352)(213, 1126)(214, 1356)(215, 1380)(216, 1382)(217, 1224)(218, 1317)(219, 1385)(220, 1276)(221, 1228)(222, 1130)(223, 1389)(224, 1390)(225, 1132)(226, 1333)(227, 1294)(228, 1235)(229, 1332)(230, 1261)(231, 1288)(232, 1319)(233, 1135)(234, 1243)(235, 1137)(236, 1400)(237, 1286)(238, 1403)(239, 1139)(240, 1405)(241, 1309)(242, 1299)(243, 1141)(244, 1185)(245, 1142)(246, 1249)(247, 1144)(248, 1414)(249, 1347)(250, 1146)(251, 1322)(252, 1417)(253, 1291)(254, 1364)(255, 1147)(256, 1420)(257, 1148)(258, 1245)(259, 1150)(260, 1423)(261, 1187)(262, 1152)(263, 1214)(264, 1427)(265, 1429)(266, 1273)(267, 1409)(268, 1386)(269, 1282)(270, 1277)(271, 1156)(272, 1373)(273, 1434)(274, 1432)(275, 1227)(276, 1283)(277, 1159)(278, 1422)(279, 1437)(280, 1438)(281, 1374)(282, 1161)(283, 1162)(284, 1293)(285, 1164)(286, 1165)(287, 1166)(288, 1445)(289, 1167)(290, 1169)(291, 1251)(292, 1367)(293, 1449)(294, 1301)(295, 1196)(296, 1398)(297, 1451)(298, 1172)(299, 1304)(300, 1175)(301, 1411)(302, 1358)(303, 1370)(304, 1176)(305, 1320)(306, 1179)(307, 1454)(308, 1384)(309, 1316)(310, 1181)(311, 1241)(312, 1182)(313, 1457)(314, 1378)(315, 1459)(316, 1184)(317, 1391)(318, 1425)(319, 1462)(320, 1188)(321, 1295)(322, 1191)(323, 1395)(324, 1331)(325, 1354)(326, 1393)(327, 1410)(328, 1194)(329, 1303)(330, 1467)(331, 1231)(332, 1369)(333, 1198)(334, 1443)(335, 1404)(336, 1397)(337, 1200)(338, 1257)(339, 1201)(340, 1343)(341, 1203)(342, 1460)(343, 1205)(344, 1413)(345, 1440)(346, 1394)(347, 1222)(348, 1206)(349, 1310)(350, 1207)(351, 1339)(352, 1209)(353, 1476)(354, 1259)(355, 1211)(356, 1263)(357, 1479)(358, 1448)(359, 1366)(360, 1447)(361, 1341)(362, 1312)(363, 1216)(364, 1482)(365, 1217)(366, 1290)(367, 1484)(368, 1219)(369, 1220)(370, 1362)(371, 1485)(372, 1464)(373, 1223)(374, 1383)(375, 1225)(376, 1226)(377, 1284)(378, 1229)(379, 1338)(380, 1287)(381, 1359)(382, 1325)(383, 1232)(384, 1491)(385, 1492)(386, 1234)(387, 1237)(388, 1239)(389, 1345)(390, 1452)(391, 1466)(392, 1495)(393, 1244)(394, 1399)(395, 1247)(396, 1471)(397, 1419)(398, 1248)(399, 1483)(400, 1431)(401, 1408)(402, 1336)(403, 1254)(404, 1498)(405, 1377)(406, 1456)(407, 1256)(408, 1435)(409, 1500)(410, 1260)(411, 1406)(412, 1265)(413, 1503)(414, 1266)(415, 1505)(416, 1268)(417, 1269)(418, 1506)(419, 1502)(420, 1272)(421, 1430)(422, 1274)(423, 1275)(424, 1278)(425, 1392)(426, 1416)(427, 1281)(428, 1446)(429, 1463)(430, 1396)(431, 1436)(432, 1509)(433, 1426)(434, 1441)(435, 1474)(436, 1493)(437, 1297)(438, 1508)(439, 1470)(440, 1300)(441, 1450)(442, 1302)(443, 1306)(444, 1307)(445, 1334)(446, 1475)(447, 1315)(448, 1415)(449, 1507)(450, 1321)(451, 1324)(452, 1497)(453, 1490)(454, 1328)(455, 1388)(456, 1381)(457, 1379)(458, 1496)(459, 1489)(460, 1342)(461, 1504)(462, 1481)(463, 1348)(464, 1350)(465, 1353)(466, 1468)(467, 1455)(468, 1511)(469, 1361)(470, 1510)(471, 1486)(472, 1365)(473, 1368)(474, 1407)(475, 1372)(476, 1376)(477, 1494)(478, 1480)(479, 1499)(480, 1512)(481, 1387)(482, 1488)(483, 1501)(484, 1453)(485, 1478)(486, 1465)(487, 1401)(488, 1402)(489, 1472)(490, 1487)(491, 1412)(492, 1418)(493, 1433)(494, 1428)(495, 1469)(496, 1421)(497, 1424)(498, 1442)(499, 1458)(500, 1439)(501, 1473)(502, 1444)(503, 1477)(504, 1461)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E22.1753
Graph:: bipartite
	v = 294 e = 1008 f = 672
	degree seq :: [ 6^168, 8^126 ]

E22.1752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 881>$ (small group id <1008, 881>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y2 * Y3^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3, Y2^-1)^3, Y3 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-2 * Y2^-1 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 ]
Map:: polytopal
	R = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)(1009, 1513, 1010, 1514, 1012, 1516)(1011, 1515, 1016, 1520, 1018, 1522)(1013, 1517, 1021, 1525, 1022, 1526)(1014, 1518, 1023, 1527, 1025, 1529)(1015, 1519, 1026, 1530, 1027, 1531)(1017, 1521, 1030, 1534, 1031, 1535)(1019, 1523, 1033, 1537, 1035, 1539)(1020, 1524, 1036, 1540, 1037, 1541)(1024, 1528, 1043, 1547, 1044, 1548)(1028, 1532, 1049, 1553, 1051, 1555)(1029, 1533, 1052, 1556, 1053, 1557)(1032, 1536, 1057, 1561, 1058, 1562)(1034, 1538, 1061, 1565, 1062, 1566)(1038, 1542, 1067, 1571, 1068, 1572)(1039, 1543, 1069, 1573, 1055, 1559)(1040, 1544, 1071, 1575, 1072, 1576)(1041, 1545, 1073, 1577, 1075, 1579)(1042, 1546, 1076, 1580, 1077, 1581)(1045, 1549, 1081, 1585, 1082, 1586)(1046, 1550, 1083, 1587, 1084, 1588)(1047, 1551, 1085, 1589, 1079, 1583)(1048, 1552, 1087, 1591, 1088, 1592)(1050, 1554, 1091, 1595, 1092, 1596)(1054, 1558, 1097, 1601, 1099, 1603)(1056, 1560, 1100, 1604, 1101, 1605)(1059, 1563, 1105, 1609, 1107, 1611)(1060, 1564, 1108, 1612, 1109, 1613)(1063, 1567, 1113, 1617, 1114, 1618)(1064, 1568, 1115, 1619, 1116, 1620)(1065, 1569, 1117, 1621, 1111, 1615)(1066, 1570, 1119, 1623, 1120, 1624)(1070, 1574, 1126, 1630, 1127, 1631)(1074, 1578, 1133, 1637, 1134, 1638)(1078, 1582, 1139, 1643, 1141, 1645)(1080, 1584, 1142, 1646, 1143, 1647)(1086, 1590, 1152, 1656, 1153, 1657)(1089, 1593, 1157, 1661, 1159, 1663)(1090, 1594, 1160, 1664, 1161, 1665)(1093, 1597, 1165, 1669, 1166, 1670)(1094, 1598, 1167, 1671, 1168, 1672)(1095, 1599, 1144, 1648, 1163, 1667)(1096, 1600, 1170, 1674, 1171, 1675)(1098, 1602, 1174, 1678, 1175, 1679)(1102, 1606, 1180, 1684, 1181, 1685)(1103, 1607, 1182, 1686, 1148, 1652)(1104, 1608, 1184, 1688, 1185, 1689)(1106, 1610, 1188, 1692, 1189, 1693)(1110, 1614, 1193, 1697, 1195, 1699)(1112, 1616, 1196, 1700, 1197, 1701)(1118, 1622, 1206, 1710, 1207, 1711)(1121, 1625, 1211, 1715, 1213, 1717)(1122, 1626, 1199, 1703, 1214, 1718)(1123, 1627, 1151, 1655, 1215, 1719)(1124, 1628, 1216, 1720, 1218, 1722)(1125, 1629, 1219, 1723, 1203, 1707)(1128, 1632, 1223, 1727, 1224, 1728)(1129, 1633, 1225, 1729, 1221, 1725)(1130, 1634, 1227, 1731, 1228, 1732)(1131, 1635, 1229, 1733, 1231, 1735)(1132, 1636, 1232, 1736, 1233, 1737)(1135, 1639, 1237, 1741, 1238, 1742)(1136, 1640, 1239, 1743, 1240, 1744)(1137, 1641, 1198, 1702, 1235, 1739)(1138, 1642, 1242, 1746, 1243, 1747)(1140, 1644, 1246, 1750, 1247, 1751)(1145, 1649, 1251, 1755, 1202, 1706)(1146, 1650, 1169, 1673, 1253, 1757)(1147, 1651, 1254, 1758, 1256, 1760)(1149, 1653, 1205, 1709, 1257, 1761)(1150, 1654, 1258, 1762, 1259, 1763)(1154, 1658, 1263, 1767, 1264, 1768)(1155, 1659, 1177, 1681, 1261, 1765)(1156, 1660, 1266, 1770, 1267, 1771)(1158, 1662, 1244, 1748, 1270, 1774)(1162, 1666, 1272, 1776, 1274, 1778)(1164, 1668, 1275, 1779, 1276, 1780)(1172, 1676, 1284, 1788, 1286, 1790)(1173, 1677, 1287, 1791, 1288, 1792)(1176, 1680, 1187, 1691, 1291, 1795)(1178, 1682, 1292, 1796, 1280, 1784)(1179, 1683, 1265, 1769, 1294, 1798)(1183, 1687, 1298, 1802, 1299, 1803)(1186, 1690, 1302, 1806, 1268, 1772)(1190, 1694, 1305, 1809, 1306, 1810)(1191, 1695, 1307, 1811, 1308, 1812)(1192, 1696, 1309, 1813, 1310, 1814)(1194, 1698, 1313, 1817, 1314, 1818)(1200, 1704, 1241, 1745, 1318, 1822)(1201, 1705, 1278, 1782, 1217, 1721)(1204, 1708, 1269, 1773, 1320, 1824)(1208, 1712, 1301, 1805, 1324, 1828)(1209, 1713, 1248, 1752, 1322, 1826)(1210, 1714, 1326, 1830, 1283, 1787)(1212, 1716, 1328, 1832, 1329, 1833)(1220, 1724, 1335, 1839, 1337, 1841)(1222, 1726, 1338, 1842, 1339, 1843)(1226, 1730, 1341, 1845, 1316, 1820)(1230, 1734, 1311, 1815, 1333, 1837)(1234, 1738, 1343, 1847, 1345, 1849)(1236, 1740, 1346, 1850, 1347, 1851)(1245, 1749, 1353, 1857, 1354, 1858)(1249, 1753, 1357, 1861, 1350, 1854)(1250, 1754, 1325, 1829, 1282, 1786)(1252, 1756, 1361, 1865, 1362, 1866)(1255, 1759, 1365, 1869, 1366, 1870)(1260, 1764, 1368, 1872, 1370, 1874)(1262, 1766, 1371, 1875, 1372, 1876)(1271, 1775, 1375, 1879, 1376, 1880)(1273, 1777, 1348, 1852, 1379, 1883)(1277, 1781, 1383, 1887, 1295, 1799)(1279, 1783, 1356, 1860, 1386, 1890)(1281, 1785, 1297, 1801, 1387, 1891)(1285, 1789, 1377, 1881, 1388, 1892)(1289, 1793, 1390, 1894, 1330, 1834)(1290, 1794, 1391, 1895, 1392, 1896)(1293, 1797, 1395, 1899, 1396, 1900)(1296, 1800, 1355, 1859, 1398, 1902)(1300, 1804, 1380, 1884, 1400, 1904)(1303, 1807, 1403, 1907, 1404, 1908)(1304, 1808, 1405, 1909, 1406, 1910)(1312, 1816, 1410, 1914, 1411, 1915)(1315, 1819, 1413, 1917, 1408, 1912)(1317, 1821, 1415, 1919, 1416, 1920)(1319, 1823, 1418, 1922, 1419, 1923)(1321, 1825, 1420, 1924, 1421, 1925)(1323, 1827, 1422, 1926, 1423, 1927)(1327, 1831, 1424, 1928, 1394, 1898)(1331, 1835, 1427, 1931, 1397, 1901)(1332, 1836, 1428, 1932, 1340, 1844)(1334, 1838, 1382, 1886, 1402, 1906)(1336, 1840, 1342, 1846, 1430, 1934)(1344, 1848, 1407, 1911, 1434, 1938)(1349, 1853, 1412, 1916, 1438, 1942)(1351, 1855, 1360, 1864, 1439, 1943)(1352, 1856, 1432, 1936, 1440, 1944)(1358, 1862, 1443, 1947, 1444, 1948)(1359, 1863, 1374, 1878, 1445, 1949)(1363, 1867, 1435, 1939, 1447, 1951)(1364, 1868, 1449, 1953, 1442, 1946)(1367, 1871, 1452, 1956, 1373, 1877)(1369, 1873, 1393, 1897, 1454, 1958)(1378, 1882, 1459, 1963, 1460, 1964)(1381, 1885, 1446, 1950, 1457, 1961)(1384, 1888, 1463, 1967, 1464, 1968)(1385, 1889, 1465, 1969, 1466, 1970)(1389, 1893, 1467, 1971, 1468, 1972)(1399, 1903, 1473, 1977, 1474, 1978)(1401, 1905, 1475, 1979, 1476, 1980)(1409, 1913, 1477, 1981, 1469, 1973)(1414, 1918, 1481, 1985, 1482, 1986)(1417, 1921, 1479, 1983, 1484, 1988)(1425, 1929, 1433, 1937, 1487, 1991)(1426, 1930, 1453, 1957, 1488, 1992)(1429, 1933, 1490, 1994, 1485, 1989)(1431, 1935, 1448, 1952, 1461, 1965)(1436, 1940, 1483, 1987, 1491, 1995)(1437, 1941, 1493, 1997, 1494, 1998)(1441, 1945, 1495, 1999, 1496, 2000)(1450, 1954, 1478, 1982, 1462, 1966)(1451, 1955, 1486, 1990, 1456, 1960)(1455, 1959, 1471, 1975, 1489, 1993)(1458, 1962, 1492, 1996, 1499, 2003)(1470, 1974, 1500, 2004, 1503, 2007)(1472, 1976, 1497, 2001, 1504, 2008)(1480, 1984, 1506, 2010, 1507, 2011)(1498, 2002, 1510, 2014, 1509, 2013)(1501, 2005, 1505, 2009, 1502, 2006)(1508, 2012, 1512, 2016, 1511, 2015)
	L = (1, 1011)(2, 1014)(3, 1017)(4, 1019)(5, 1009)(6, 1024)(7, 1010)(8, 1028)(9, 1013)(10, 1026)(11, 1034)(12, 1012)(13, 1038)(14, 1039)(15, 1041)(16, 1015)(17, 1036)(18, 1046)(19, 1047)(20, 1050)(21, 1016)(22, 1054)(23, 1052)(24, 1018)(25, 1059)(26, 1020)(27, 1021)(28, 1064)(29, 1065)(30, 1063)(31, 1070)(32, 1022)(33, 1074)(34, 1023)(35, 1078)(36, 1076)(37, 1025)(38, 1032)(39, 1086)(40, 1027)(41, 1089)(42, 1029)(43, 1057)(44, 1094)(45, 1095)(46, 1098)(47, 1030)(48, 1031)(49, 1102)(50, 1103)(51, 1106)(52, 1033)(53, 1110)(54, 1108)(55, 1035)(56, 1045)(57, 1118)(58, 1037)(59, 1121)(60, 1071)(61, 1124)(62, 1040)(63, 1128)(64, 1129)(65, 1131)(66, 1042)(67, 1081)(68, 1136)(69, 1137)(70, 1140)(71, 1043)(72, 1044)(73, 1144)(74, 1145)(75, 1147)(76, 1087)(77, 1150)(78, 1048)(79, 1154)(80, 1155)(81, 1158)(82, 1049)(83, 1162)(84, 1160)(85, 1051)(86, 1056)(87, 1169)(88, 1053)(89, 1172)(90, 1055)(91, 1100)(92, 1177)(93, 1178)(94, 1093)(95, 1183)(96, 1058)(97, 1186)(98, 1060)(99, 1113)(100, 1191)(101, 1181)(102, 1194)(103, 1061)(104, 1062)(105, 1198)(106, 1199)(107, 1201)(108, 1119)(109, 1204)(110, 1066)(111, 1208)(112, 1209)(113, 1212)(114, 1067)(115, 1068)(116, 1217)(117, 1069)(118, 1220)(119, 1219)(120, 1123)(121, 1226)(122, 1072)(123, 1230)(124, 1073)(125, 1234)(126, 1232)(127, 1075)(128, 1080)(129, 1241)(130, 1077)(131, 1244)(132, 1079)(133, 1142)(134, 1248)(135, 1249)(136, 1135)(137, 1252)(138, 1082)(139, 1255)(140, 1083)(141, 1084)(142, 1213)(143, 1085)(144, 1260)(145, 1215)(146, 1149)(147, 1265)(148, 1088)(149, 1268)(150, 1090)(151, 1165)(152, 1271)(153, 1141)(154, 1273)(155, 1091)(156, 1092)(157, 1216)(158, 1277)(159, 1279)(160, 1170)(161, 1096)(162, 1282)(163, 1224)(164, 1285)(165, 1097)(166, 1289)(167, 1287)(168, 1099)(169, 1176)(170, 1293)(171, 1101)(172, 1188)(173, 1184)(174, 1296)(175, 1104)(176, 1192)(177, 1300)(178, 1286)(179, 1105)(180, 1303)(181, 1291)(182, 1107)(183, 1112)(184, 1109)(185, 1311)(186, 1111)(187, 1196)(188, 1225)(189, 1315)(190, 1190)(191, 1317)(192, 1114)(193, 1319)(194, 1115)(195, 1116)(196, 1256)(197, 1117)(198, 1321)(199, 1257)(200, 1203)(201, 1325)(202, 1120)(203, 1238)(204, 1122)(205, 1151)(206, 1330)(207, 1332)(208, 1229)(209, 1125)(210, 1174)(211, 1334)(212, 1336)(213, 1126)(214, 1127)(215, 1253)(216, 1227)(217, 1233)(218, 1130)(219, 1283)(220, 1243)(221, 1159)(222, 1132)(223, 1237)(224, 1342)(225, 1195)(226, 1344)(227, 1133)(228, 1134)(229, 1258)(230, 1348)(231, 1349)(232, 1242)(233, 1138)(234, 1341)(235, 1264)(236, 1352)(237, 1139)(238, 1355)(239, 1353)(240, 1161)(241, 1358)(242, 1143)(243, 1359)(244, 1146)(245, 1363)(246, 1306)(247, 1148)(248, 1205)(249, 1367)(250, 1302)(251, 1246)(252, 1369)(253, 1152)(254, 1153)(255, 1318)(256, 1266)(257, 1156)(258, 1228)(259, 1310)(260, 1305)(261, 1157)(262, 1320)(263, 1164)(264, 1377)(265, 1163)(266, 1275)(267, 1380)(268, 1381)(269, 1384)(270, 1166)(271, 1385)(272, 1167)(273, 1168)(274, 1281)(275, 1171)(276, 1259)(277, 1173)(278, 1187)(279, 1389)(280, 1274)(281, 1333)(282, 1175)(283, 1393)(284, 1394)(285, 1179)(286, 1397)(287, 1180)(288, 1386)(289, 1182)(290, 1399)(291, 1387)(292, 1402)(293, 1185)(294, 1231)(295, 1295)(296, 1189)(297, 1269)(298, 1407)(299, 1392)(300, 1309)(301, 1294)(302, 1324)(303, 1409)(304, 1193)(305, 1374)(306, 1410)(307, 1414)(308, 1197)(309, 1200)(310, 1417)(311, 1202)(312, 1313)(313, 1376)(314, 1206)(315, 1207)(316, 1326)(317, 1210)(318, 1267)(319, 1211)(320, 1425)(321, 1424)(322, 1391)(323, 1214)(324, 1262)(325, 1218)(326, 1222)(327, 1379)(328, 1221)(329, 1338)(330, 1292)(331, 1431)(332, 1223)(333, 1351)(334, 1236)(335, 1432)(336, 1235)(337, 1346)(338, 1435)(339, 1436)(340, 1327)(341, 1437)(342, 1239)(343, 1240)(344, 1245)(345, 1441)(346, 1345)(347, 1284)(348, 1247)(349, 1442)(350, 1250)(351, 1438)(352, 1251)(353, 1446)(354, 1439)(355, 1340)(356, 1254)(357, 1450)(358, 1449)(359, 1323)(360, 1434)(361, 1261)(362, 1371)(363, 1357)(364, 1455)(365, 1263)(366, 1270)(367, 1456)(368, 1322)(369, 1458)(370, 1272)(371, 1459)(372, 1288)(373, 1461)(374, 1276)(375, 1462)(376, 1278)(377, 1280)(378, 1297)(379, 1443)(380, 1398)(381, 1290)(382, 1328)(383, 1331)(384, 1470)(385, 1304)(386, 1337)(387, 1471)(388, 1339)(389, 1308)(390, 1365)(391, 1468)(392, 1298)(393, 1299)(394, 1301)(395, 1477)(396, 1405)(397, 1479)(398, 1474)(399, 1364)(400, 1307)(401, 1312)(402, 1480)(403, 1404)(404, 1314)(405, 1464)(406, 1316)(407, 1483)(408, 1427)(409, 1373)(410, 1460)(411, 1463)(412, 1383)(413, 1422)(414, 1413)(415, 1476)(416, 1465)(417, 1469)(418, 1329)(419, 1395)(420, 1347)(421, 1335)(422, 1490)(423, 1472)(424, 1492)(425, 1343)(426, 1487)(427, 1354)(428, 1489)(429, 1350)(430, 1360)(431, 1481)(432, 1445)(433, 1356)(434, 1370)(435, 1401)(436, 1372)(437, 1418)(438, 1496)(439, 1361)(440, 1362)(441, 1493)(442, 1388)(443, 1366)(444, 1406)(445, 1368)(446, 1488)(447, 1497)(448, 1498)(449, 1375)(450, 1378)(451, 1429)(452, 1440)(453, 1382)(454, 1486)(455, 1500)(456, 1421)(457, 1426)(458, 1495)(459, 1502)(460, 1400)(461, 1390)(462, 1408)(463, 1416)(464, 1396)(465, 1454)(466, 1475)(467, 1452)(468, 1504)(469, 1499)(470, 1403)(471, 1411)(472, 1412)(473, 1448)(474, 1423)(475, 1507)(476, 1415)(477, 1419)(478, 1420)(479, 1453)(480, 1505)(481, 1428)(482, 1508)(483, 1430)(484, 1433)(485, 1451)(486, 1506)(487, 1510)(488, 1447)(489, 1444)(490, 1457)(491, 1478)(492, 1485)(493, 1466)(494, 1511)(495, 1467)(496, 1482)(497, 1473)(498, 1512)(499, 1484)(500, 1491)(501, 1494)(502, 1501)(503, 1503)(504, 1509)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1750
Graph:: simple bipartite
	v = 672 e = 1008 f = 294
	degree seq :: [ 2^504, 6^168 ]

E22.1753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = $<504, 157>$ (small group id <504, 157>)
Aut   = $<1008, 883>$ (small group id <1008, 883>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, (Y3^-1 * Y1^-1)^4, Y3^2 * Y2^-1 * Y3^2 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, (Y2 * Y3 * Y2 * Y3^-2)^3 ]
Map:: polytopal
	R = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)(1009, 1513, 1010, 1514, 1012, 1516)(1011, 1515, 1016, 1520, 1018, 1522)(1013, 1517, 1021, 1525, 1022, 1526)(1014, 1518, 1023, 1527, 1025, 1529)(1015, 1519, 1026, 1530, 1027, 1531)(1017, 1521, 1030, 1534, 1031, 1535)(1019, 1523, 1033, 1537, 1035, 1539)(1020, 1524, 1036, 1540, 1037, 1541)(1024, 1528, 1043, 1547, 1044, 1548)(1028, 1532, 1049, 1553, 1051, 1555)(1029, 1533, 1052, 1556, 1053, 1557)(1032, 1536, 1057, 1561, 1058, 1562)(1034, 1538, 1061, 1565, 1062, 1566)(1038, 1542, 1067, 1571, 1068, 1572)(1039, 1543, 1069, 1573, 1055, 1559)(1040, 1544, 1071, 1575, 1072, 1576)(1041, 1545, 1073, 1577, 1075, 1579)(1042, 1546, 1076, 1580, 1077, 1581)(1045, 1549, 1081, 1585, 1082, 1586)(1046, 1550, 1083, 1587, 1084, 1588)(1047, 1551, 1085, 1589, 1079, 1583)(1048, 1552, 1087, 1591, 1088, 1592)(1050, 1554, 1091, 1595, 1092, 1596)(1054, 1558, 1097, 1601, 1099, 1603)(1056, 1560, 1100, 1604, 1101, 1605)(1059, 1563, 1105, 1609, 1107, 1611)(1060, 1564, 1108, 1612, 1109, 1613)(1063, 1567, 1113, 1617, 1114, 1618)(1064, 1568, 1115, 1619, 1116, 1620)(1065, 1569, 1117, 1621, 1111, 1615)(1066, 1570, 1119, 1623, 1120, 1624)(1070, 1574, 1126, 1630, 1127, 1631)(1074, 1578, 1133, 1637, 1134, 1638)(1078, 1582, 1139, 1643, 1141, 1645)(1080, 1584, 1142, 1646, 1143, 1647)(1086, 1590, 1152, 1656, 1153, 1657)(1089, 1593, 1157, 1661, 1159, 1663)(1090, 1594, 1160, 1664, 1161, 1665)(1093, 1597, 1165, 1669, 1166, 1670)(1094, 1598, 1167, 1671, 1168, 1672)(1095, 1599, 1169, 1673, 1163, 1667)(1096, 1600, 1171, 1675, 1172, 1676)(1098, 1602, 1175, 1679, 1176, 1680)(1102, 1606, 1181, 1685, 1182, 1686)(1103, 1607, 1183, 1687, 1148, 1652)(1104, 1608, 1185, 1689, 1186, 1690)(1106, 1610, 1189, 1693, 1190, 1694)(1110, 1614, 1195, 1699, 1197, 1701)(1112, 1616, 1198, 1702, 1199, 1703)(1118, 1622, 1208, 1712, 1209, 1713)(1121, 1625, 1213, 1717, 1215, 1719)(1122, 1626, 1201, 1705, 1216, 1720)(1123, 1627, 1217, 1721, 1218, 1722)(1124, 1628, 1219, 1723, 1221, 1725)(1125, 1629, 1222, 1726, 1223, 1727)(1128, 1632, 1227, 1731, 1228, 1732)(1129, 1633, 1229, 1733, 1225, 1729)(1130, 1634, 1231, 1735, 1232, 1736)(1131, 1635, 1233, 1737, 1235, 1739)(1132, 1636, 1236, 1740, 1237, 1741)(1135, 1639, 1241, 1745, 1242, 1746)(1136, 1640, 1243, 1747, 1244, 1748)(1137, 1641, 1245, 1749, 1239, 1743)(1138, 1642, 1247, 1751, 1248, 1752)(1140, 1644, 1251, 1755, 1252, 1756)(1144, 1648, 1257, 1761, 1258, 1762)(1145, 1649, 1259, 1763, 1204, 1708)(1146, 1650, 1261, 1765, 1262, 1766)(1147, 1651, 1263, 1767, 1265, 1769)(1149, 1653, 1266, 1770, 1267, 1771)(1150, 1654, 1268, 1772, 1270, 1774)(1151, 1655, 1271, 1775, 1272, 1776)(1154, 1658, 1276, 1780, 1277, 1781)(1155, 1659, 1278, 1782, 1274, 1778)(1156, 1660, 1280, 1784, 1281, 1785)(1158, 1662, 1284, 1788, 1285, 1789)(1162, 1666, 1290, 1794, 1291, 1795)(1164, 1668, 1292, 1796, 1293, 1797)(1170, 1674, 1301, 1805, 1302, 1806)(1173, 1677, 1306, 1810, 1308, 1812)(1174, 1678, 1309, 1813, 1310, 1814)(1177, 1681, 1313, 1817, 1314, 1818)(1178, 1682, 1253, 1757, 1315, 1819)(1179, 1683, 1316, 1820, 1298, 1802)(1180, 1684, 1318, 1822, 1319, 1823)(1184, 1688, 1324, 1828, 1325, 1829)(1187, 1691, 1329, 1833, 1331, 1835)(1188, 1692, 1332, 1836, 1333, 1837)(1191, 1695, 1335, 1839, 1336, 1840)(1192, 1696, 1337, 1841, 1327, 1831)(1193, 1697, 1338, 1842, 1288, 1792)(1194, 1698, 1340, 1844, 1341, 1845)(1196, 1700, 1344, 1848, 1345, 1849)(1200, 1704, 1349, 1853, 1320, 1824)(1202, 1706, 1351, 1855, 1352, 1856)(1203, 1707, 1311, 1815, 1354, 1858)(1205, 1709, 1355, 1859, 1356, 1860)(1206, 1710, 1357, 1861, 1358, 1862)(1207, 1711, 1359, 1863, 1300, 1804)(1210, 1714, 1363, 1867, 1364, 1868)(1211, 1715, 1365, 1869, 1361, 1865)(1212, 1716, 1367, 1871, 1368, 1872)(1214, 1718, 1370, 1874, 1371, 1875)(1220, 1724, 1246, 1750, 1378, 1882)(1224, 1728, 1381, 1885, 1383, 1887)(1226, 1730, 1296, 1800, 1384, 1888)(1230, 1734, 1387, 1891, 1388, 1892)(1234, 1738, 1299, 1803, 1394, 1898)(1238, 1742, 1317, 1821, 1397, 1901)(1240, 1744, 1398, 1902, 1399, 1903)(1249, 1753, 1294, 1798, 1409, 1913)(1250, 1754, 1410, 1914, 1411, 1915)(1254, 1758, 1346, 1850, 1412, 1916)(1255, 1759, 1287, 1791, 1404, 1908)(1256, 1760, 1414, 1918, 1415, 1919)(1260, 1764, 1297, 1801, 1418, 1922)(1264, 1768, 1421, 1925, 1422, 1926)(1269, 1773, 1339, 1843, 1426, 1930)(1273, 1777, 1427, 1931, 1428, 1932)(1275, 1779, 1402, 1906, 1429, 1933)(1279, 1783, 1431, 1935, 1432, 1936)(1282, 1786, 1392, 1896, 1437, 1941)(1283, 1787, 1438, 1942, 1379, 1883)(1286, 1790, 1440, 1944, 1441, 1945)(1289, 1793, 1413, 1917, 1442, 1946)(1295, 1799, 1445, 1949, 1321, 1825)(1303, 1807, 1447, 1951, 1390, 1894)(1304, 1808, 1448, 1952, 1373, 1877)(1305, 1809, 1450, 1954, 1451, 1955)(1307, 1811, 1362, 1866, 1453, 1957)(1312, 1816, 1353, 1857, 1456, 1960)(1322, 1826, 1407, 1911, 1459, 1963)(1323, 1827, 1460, 1964, 1377, 1881)(1326, 1830, 1401, 1905, 1462, 1966)(1328, 1832, 1463, 1967, 1464, 1968)(1330, 1834, 1405, 1909, 1466, 1970)(1334, 1838, 1467, 1971, 1468, 1972)(1342, 1846, 1400, 1904, 1473, 1977)(1343, 1847, 1474, 1978, 1382, 1886)(1347, 1851, 1396, 1900, 1470, 1974)(1348, 1852, 1457, 1961, 1386, 1890)(1350, 1854, 1403, 1907, 1475, 1979)(1360, 1864, 1477, 1981, 1478, 1982)(1366, 1870, 1480, 1984, 1380, 1884)(1369, 1873, 1393, 1897, 1482, 1986)(1372, 1876, 1484, 1988, 1479, 1983)(1374, 1878, 1485, 1989, 1476, 1980)(1375, 1879, 1486, 1990, 1385, 1889)(1376, 1880, 1395, 1899, 1436, 1940)(1389, 1893, 1408, 1912, 1491, 1995)(1391, 1895, 1435, 1939, 1481, 1985)(1406, 1910, 1497, 2001, 1434, 1938)(1416, 1920, 1471, 1975, 1500, 2004)(1417, 1921, 1501, 2005, 1425, 1929)(1419, 1923, 1469, 1973, 1502, 2006)(1420, 1924, 1465, 1969, 1503, 2007)(1423, 1927, 1505, 2009, 1430, 1934)(1424, 1928, 1452, 1956, 1492, 1996)(1433, 1937, 1472, 1976, 1508, 2012)(1439, 1943, 1490, 1994, 1495, 1999)(1443, 1947, 1455, 1959, 1496, 2000)(1444, 1948, 1510, 2014, 1511, 2015)(1446, 1950, 1489, 1993, 1504, 2008)(1449, 1953, 1499, 2003, 1487, 1991)(1454, 1958, 1506, 2010, 1498, 2002)(1458, 1962, 1509, 2013, 1512, 2016)(1461, 1965, 1494, 1998, 1483, 1987)(1488, 1992, 1493, 1997, 1507, 2011)
	L = (1, 1011)(2, 1014)(3, 1017)(4, 1019)(5, 1009)(6, 1024)(7, 1010)(8, 1028)(9, 1013)(10, 1026)(11, 1034)(12, 1012)(13, 1038)(14, 1039)(15, 1041)(16, 1015)(17, 1036)(18, 1046)(19, 1047)(20, 1050)(21, 1016)(22, 1054)(23, 1052)(24, 1018)(25, 1059)(26, 1020)(27, 1021)(28, 1064)(29, 1065)(30, 1063)(31, 1070)(32, 1022)(33, 1074)(34, 1023)(35, 1078)(36, 1076)(37, 1025)(38, 1032)(39, 1086)(40, 1027)(41, 1089)(42, 1029)(43, 1057)(44, 1094)(45, 1095)(46, 1098)(47, 1030)(48, 1031)(49, 1102)(50, 1103)(51, 1106)(52, 1033)(53, 1110)(54, 1108)(55, 1035)(56, 1045)(57, 1118)(58, 1037)(59, 1121)(60, 1071)(61, 1124)(62, 1040)(63, 1128)(64, 1129)(65, 1131)(66, 1042)(67, 1081)(68, 1136)(69, 1137)(70, 1140)(71, 1043)(72, 1044)(73, 1144)(74, 1145)(75, 1147)(76, 1087)(77, 1150)(78, 1048)(79, 1154)(80, 1155)(81, 1158)(82, 1049)(83, 1162)(84, 1160)(85, 1051)(86, 1056)(87, 1170)(88, 1053)(89, 1173)(90, 1055)(91, 1100)(92, 1178)(93, 1179)(94, 1093)(95, 1184)(96, 1058)(97, 1187)(98, 1060)(99, 1113)(100, 1192)(101, 1193)(102, 1196)(103, 1061)(104, 1062)(105, 1200)(106, 1201)(107, 1203)(108, 1119)(109, 1206)(110, 1066)(111, 1210)(112, 1211)(113, 1214)(114, 1067)(115, 1068)(116, 1220)(117, 1069)(118, 1224)(119, 1222)(120, 1123)(121, 1230)(122, 1072)(123, 1234)(124, 1073)(125, 1238)(126, 1236)(127, 1075)(128, 1080)(129, 1246)(130, 1077)(131, 1249)(132, 1079)(133, 1142)(134, 1254)(135, 1255)(136, 1135)(137, 1260)(138, 1082)(139, 1264)(140, 1083)(141, 1084)(142, 1269)(143, 1085)(144, 1273)(145, 1271)(146, 1149)(147, 1279)(148, 1088)(149, 1282)(150, 1090)(151, 1165)(152, 1287)(153, 1288)(154, 1237)(155, 1091)(156, 1092)(157, 1294)(158, 1295)(159, 1297)(160, 1171)(161, 1299)(162, 1096)(163, 1303)(164, 1304)(165, 1307)(166, 1097)(167, 1311)(168, 1309)(169, 1099)(170, 1177)(171, 1317)(172, 1101)(173, 1320)(174, 1185)(175, 1322)(176, 1104)(177, 1326)(178, 1327)(179, 1330)(180, 1105)(181, 1289)(182, 1332)(183, 1107)(184, 1112)(185, 1339)(186, 1109)(187, 1342)(188, 1111)(189, 1198)(190, 1314)(191, 1347)(192, 1191)(193, 1350)(194, 1114)(195, 1353)(196, 1115)(197, 1116)(198, 1302)(199, 1117)(200, 1360)(201, 1359)(202, 1205)(203, 1366)(204, 1120)(205, 1369)(206, 1122)(207, 1217)(208, 1373)(209, 1356)(210, 1375)(211, 1376)(212, 1125)(213, 1175)(214, 1365)(215, 1245)(216, 1382)(217, 1126)(218, 1127)(219, 1291)(220, 1231)(221, 1275)(222, 1130)(223, 1389)(224, 1390)(225, 1392)(226, 1132)(227, 1241)(228, 1396)(229, 1163)(230, 1333)(231, 1133)(232, 1134)(233, 1400)(234, 1401)(235, 1403)(236, 1247)(237, 1405)(238, 1138)(239, 1406)(240, 1407)(241, 1384)(242, 1139)(243, 1213)(244, 1410)(245, 1141)(246, 1253)(247, 1413)(248, 1143)(249, 1182)(250, 1261)(251, 1416)(252, 1146)(253, 1419)(254, 1168)(255, 1420)(256, 1148)(257, 1266)(258, 1218)(259, 1423)(260, 1424)(261, 1151)(262, 1251)(263, 1229)(264, 1338)(265, 1310)(266, 1152)(267, 1153)(268, 1397)(269, 1280)(270, 1362)(271, 1156)(272, 1433)(273, 1434)(274, 1436)(275, 1157)(276, 1388)(277, 1438)(278, 1159)(279, 1164)(280, 1189)(281, 1161)(282, 1348)(283, 1292)(284, 1385)(285, 1443)(286, 1286)(287, 1383)(288, 1166)(289, 1446)(290, 1167)(291, 1432)(292, 1169)(293, 1374)(294, 1207)(295, 1262)(296, 1449)(297, 1172)(298, 1452)(299, 1174)(300, 1313)(301, 1455)(302, 1274)(303, 1379)(304, 1176)(305, 1457)(306, 1346)(307, 1318)(308, 1334)(309, 1180)(310, 1458)(311, 1277)(312, 1351)(313, 1181)(314, 1378)(315, 1183)(316, 1461)(317, 1460)(318, 1257)(319, 1340)(320, 1186)(321, 1437)(322, 1188)(323, 1335)(324, 1316)(325, 1239)(326, 1190)(327, 1306)(328, 1469)(329, 1324)(330, 1284)(331, 1194)(332, 1328)(333, 1471)(334, 1429)(335, 1195)(336, 1263)(337, 1474)(338, 1197)(339, 1290)(340, 1199)(341, 1258)(342, 1202)(343, 1321)(344, 1244)(345, 1204)(346, 1355)(347, 1267)(348, 1372)(349, 1441)(350, 1344)(351, 1278)(352, 1411)(353, 1208)(354, 1209)(355, 1442)(356, 1367)(357, 1226)(358, 1212)(359, 1451)(360, 1464)(361, 1270)(362, 1325)(363, 1252)(364, 1215)(365, 1301)(366, 1216)(367, 1265)(368, 1487)(369, 1219)(370, 1323)(371, 1221)(372, 1223)(373, 1488)(374, 1225)(375, 1296)(376, 1250)(377, 1227)(378, 1228)(379, 1490)(380, 1272)(381, 1386)(382, 1450)(383, 1232)(384, 1492)(385, 1233)(386, 1482)(387, 1235)(388, 1240)(389, 1398)(390, 1430)(391, 1494)(392, 1395)(393, 1428)(394, 1242)(395, 1496)(396, 1243)(397, 1380)(398, 1352)(399, 1498)(400, 1248)(401, 1315)(402, 1483)(403, 1361)(404, 1414)(405, 1256)(406, 1499)(407, 1364)(408, 1426)(409, 1259)(410, 1501)(411, 1349)(412, 1358)(413, 1418)(414, 1345)(415, 1354)(416, 1506)(417, 1268)(418, 1417)(419, 1444)(420, 1402)(421, 1343)(422, 1276)(423, 1507)(424, 1300)(425, 1319)(426, 1491)(427, 1281)(428, 1283)(429, 1440)(430, 1505)(431, 1285)(432, 1465)(433, 1509)(434, 1467)(435, 1427)(436, 1293)(437, 1497)(438, 1298)(439, 1387)(440, 1370)(441, 1305)(442, 1391)(443, 1415)(444, 1331)(445, 1336)(446, 1308)(447, 1312)(448, 1475)(449, 1454)(450, 1409)(451, 1421)(452, 1448)(453, 1470)(454, 1463)(455, 1480)(456, 1508)(457, 1329)(458, 1503)(459, 1479)(460, 1489)(461, 1478)(462, 1337)(463, 1512)(464, 1341)(465, 1412)(466, 1504)(467, 1485)(468, 1357)(469, 1495)(470, 1453)(471, 1363)(472, 1511)(473, 1368)(474, 1484)(475, 1371)(476, 1493)(477, 1500)(478, 1510)(479, 1377)(480, 1468)(481, 1381)(482, 1502)(483, 1435)(484, 1393)(485, 1394)(486, 1477)(487, 1399)(488, 1404)(489, 1431)(490, 1408)(491, 1473)(492, 1456)(493, 1459)(494, 1447)(495, 1486)(496, 1422)(497, 1439)(498, 1425)(499, 1445)(500, 1481)(501, 1476)(502, 1466)(503, 1462)(504, 1472)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1751
Graph:: simple bipartite
	v = 672 e = 1008 f = 294
	degree seq :: [ 2^504, 6^168 ]

E22.1754 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 12})
Quotient :: halfedge
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^3, X1^12, X1^-3 * X2 * X1 * X2 * X1 * X2 * X1^-8, X1 * X2 * X1^-4 * X2 * X1^-4 * X2 * X1 * X2 * X1^-3 * X2, X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^3 * X2, (X1^2 * X2 * X1^-1 * X2 * X1)^3, (X1^4 * X2 * X1^-2 * X2 * X1)^2, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 129, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 119, 192, 128, 78, 46, 26, 14)(9, 18, 32, 55, 92, 149, 226, 141, 86, 51, 29, 16)(12, 23, 41, 69, 113, 182, 289, 191, 118, 72, 42, 24)(19, 34, 58, 97, 157, 250, 374, 249, 156, 96, 57, 33)(22, 39, 67, 109, 176, 279, 405, 288, 181, 112, 68, 40)(28, 49, 83, 135, 216, 337, 391, 271, 221, 138, 84, 50)(30, 52, 87, 142, 227, 350, 392, 315, 199, 123, 75, 44)(35, 60, 100, 162, 258, 381, 415, 290, 257, 161, 99, 59)(38, 65, 107, 172, 273, 225, 348, 404, 278, 175, 108, 66)(45, 76, 124, 200, 316, 264, 388, 423, 296, 186, 115, 70)(48, 81, 133, 212, 333, 442, 480, 459, 336, 215, 134, 82)(53, 89, 145, 232, 357, 452, 479, 460, 356, 231, 144, 88)(56, 94, 153, 243, 369, 395, 270, 174, 276, 246, 154, 95)(61, 102, 165, 263, 386, 413, 306, 193, 305, 262, 164, 101)(64, 105, 170, 269, 236, 148, 237, 364, 397, 272, 171, 106)(71, 116, 187, 297, 261, 163, 260, 384, 410, 283, 178, 110)(74, 121, 196, 309, 436, 496, 454, 331, 439, 312, 197, 122)(77, 126, 203, 321, 448, 502, 469, 351, 447, 320, 202, 125)(80, 131, 210, 323, 204, 127, 205, 324, 451, 332, 211, 132)(85, 139, 222, 344, 466, 363, 394, 481, 464, 340, 218, 136)(90, 147, 235, 362, 474, 366, 240, 150, 239, 361, 234, 146)(93, 151, 241, 367, 420, 343, 396, 482, 425, 298, 242, 152)(98, 159, 254, 358, 400, 275, 173, 111, 179, 284, 255, 160)(103, 167, 266, 389, 430, 303, 209, 130, 208, 329, 265, 166)(104, 168, 267, 390, 325, 206, 326, 238, 365, 393, 268, 169)(114, 184, 293, 418, 493, 478, 385, 434, 342, 220, 294, 185)(117, 189, 300, 217, 339, 462, 387, 443, 499, 426, 299, 188)(120, 194, 307, 428, 301, 190, 302, 429, 501, 435, 308, 195)(137, 219, 341, 465, 360, 233, 359, 445, 317, 444, 335, 213)(140, 224, 347, 437, 503, 476, 376, 251, 375, 446, 346, 223)(143, 229, 354, 259, 383, 455, 330, 214, 285, 180, 286, 230)(155, 247, 372, 422, 484, 399, 274, 398, 483, 475, 370, 244)(158, 252, 377, 433, 311, 401, 277, 402, 319, 201, 318, 253)(177, 281, 407, 487, 473, 378, 256, 380, 441, 314, 408, 282)(183, 291, 416, 489, 411, 287, 412, 490, 463, 492, 417, 292)(198, 313, 440, 504, 450, 322, 449, 498, 424, 497, 438, 310)(207, 327, 414, 491, 468, 349, 432, 304, 431, 486, 453, 328)(228, 352, 470, 368, 245, 371, 456, 488, 409, 345, 467, 353)(248, 280, 406, 334, 457, 485, 403, 382, 471, 355, 472, 373)(295, 421, 495, 461, 338, 427, 500, 477, 379, 458, 494, 419)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 104)(66, 105)(67, 110)(68, 111)(69, 114)(72, 117)(73, 120)(75, 121)(76, 125)(78, 127)(79, 130)(82, 131)(83, 136)(84, 137)(86, 140)(87, 143)(89, 146)(91, 148)(92, 150)(95, 151)(96, 155)(97, 158)(99, 159)(100, 163)(102, 166)(106, 168)(107, 173)(108, 174)(109, 177)(112, 180)(113, 183)(115, 184)(116, 188)(118, 190)(119, 193)(122, 194)(123, 198)(124, 201)(126, 204)(128, 206)(129, 207)(132, 208)(133, 213)(134, 214)(135, 217)(138, 220)(139, 223)(141, 225)(142, 228)(144, 229)(145, 233)(147, 236)(149, 238)(152, 239)(153, 244)(154, 245)(156, 248)(157, 251)(160, 252)(161, 256)(162, 259)(164, 260)(165, 264)(167, 169)(170, 270)(171, 271)(172, 274)(175, 277)(176, 280)(178, 281)(179, 285)(181, 287)(182, 290)(185, 291)(186, 295)(187, 298)(189, 301)(191, 303)(192, 304)(195, 305)(196, 310)(197, 311)(199, 314)(200, 317)(202, 318)(203, 322)(205, 325)(209, 327)(210, 330)(211, 331)(212, 334)(215, 284)(216, 338)(218, 339)(219, 342)(221, 343)(222, 345)(224, 273)(226, 349)(227, 351)(230, 352)(231, 355)(232, 358)(234, 359)(235, 363)(237, 328)(240, 365)(241, 368)(242, 299)(243, 321)(246, 312)(247, 373)(249, 279)(250, 364)(253, 375)(254, 378)(255, 379)(257, 292)(258, 382)(261, 383)(262, 385)(263, 387)(265, 388)(266, 350)(267, 391)(268, 392)(269, 394)(272, 396)(275, 398)(276, 401)(278, 403)(282, 406)(283, 409)(286, 411)(288, 413)(289, 414)(293, 419)(294, 420)(296, 422)(297, 424)(300, 427)(302, 430)(306, 431)(307, 433)(308, 434)(309, 437)(313, 441)(315, 442)(316, 443)(319, 444)(320, 446)(323, 449)(324, 452)(326, 432)(329, 454)(332, 456)(333, 408)(335, 457)(336, 458)(337, 460)(340, 463)(341, 435)(344, 410)(346, 467)(347, 399)(348, 468)(353, 447)(354, 471)(356, 461)(357, 473)(360, 400)(361, 426)(362, 418)(366, 459)(367, 416)(369, 450)(370, 448)(371, 439)(372, 421)(374, 453)(376, 397)(377, 477)(380, 417)(381, 404)(384, 478)(386, 412)(389, 469)(390, 479)(393, 480)(395, 481)(402, 485)(405, 486)(407, 488)(415, 491)(423, 496)(425, 497)(428, 500)(429, 502)(436, 484)(438, 503)(440, 492)(445, 499)(451, 487)(455, 498)(462, 490)(464, 504)(465, 483)(466, 493)(470, 489)(472, 495)(474, 494)(475, 501)(476, 482)
	local type(s) :: { ( 3^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 42 e = 252 f = 168
	degree seq :: [ 12^42 ]

E22.1755 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 12})
Quotient :: halfedge
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X2^2, X1^3, (X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^3, X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1, X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1, (X1^-1 * X2)^12, (X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1)^2 ]
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, 98)(75, 107, 108)(76, 109, 110)(77, 111, 112)(78, 113, 114)(79, 115, 116)(80, 117, 118)(81, 119, 120)(82, 121, 122)(99, 139, 140)(100, 141, 142)(101, 143, 144)(102, 145, 146)(103, 147, 148)(104, 149, 150)(105, 151, 152)(106, 153, 154)(123, 256, 441)(124, 258, 248)(125, 260, 226)(126, 225, 169)(127, 263, 240)(128, 264, 448)(129, 232, 372)(130, 267, 446)(131, 238, 231)(132, 269, 452)(133, 271, 184)(134, 183, 199)(135, 274, 458)(136, 275, 460)(137, 276, 461)(138, 277, 456)(155, 298, 299)(156, 300, 301)(157, 302, 303)(158, 304, 305)(159, 306, 307)(160, 308, 309)(161, 310, 311)(162, 312, 313)(163, 314, 315)(164, 257, 316)(165, 282, 296)(166, 317, 318)(167, 319, 320)(168, 321, 322)(170, 323, 324)(171, 325, 326)(172, 209, 251)(173, 249, 327)(174, 328, 329)(175, 239, 253)(176, 330, 332)(177, 227, 294)(178, 292, 335)(179, 336, 337)(180, 338, 339)(181, 340, 341)(182, 342, 344)(185, 347, 348)(186, 349, 350)(187, 351, 353)(188, 268, 355)(189, 356, 358)(190, 359, 360)(191, 361, 363)(192, 364, 365)(193, 366, 367)(194, 368, 370)(195, 371, 373)(196, 265, 375)(197, 376, 378)(198, 379, 381)(200, 293, 382)(201, 383, 384)(202, 245, 281)(203, 385, 244)(204, 386, 388)(205, 389, 390)(206, 391, 259)(207, 393, 395)(208, 396, 397)(210, 222, 398)(211, 399, 400)(212, 362, 401)(213, 288, 217)(214, 354, 287)(215, 291, 235)(216, 403, 404)(218, 284, 407)(219, 246, 409)(220, 410, 285)(221, 279, 234)(223, 412, 392)(224, 394, 413)(228, 250, 415)(229, 416, 417)(230, 380, 418)(233, 419, 420)(236, 422, 423)(237, 424, 255)(241, 428, 283)(242, 289, 430)(243, 431, 432)(247, 434, 436)(252, 438, 357)(254, 377, 439)(261, 445, 426)(262, 343, 447)(266, 333, 345)(270, 449, 440)(272, 454, 455)(273, 408, 457)(278, 463, 464)(280, 465, 297)(286, 470, 471)(290, 473, 475)(295, 477, 374)(331, 493, 467)(334, 495, 479)(346, 490, 481)(352, 497, 482)(369, 499, 483)(387, 498, 480)(402, 501, 485)(405, 433, 491)(406, 486, 450)(411, 496, 466)(414, 474, 492)(421, 503, 488)(425, 472, 494)(427, 489, 484)(429, 459, 437)(435, 504, 478)(442, 476, 469)(443, 502, 451)(444, 487, 468)(453, 500, 462)
	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, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(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)(107, 233)(108, 235)(109, 237)(110, 239)(111, 241)(112, 243)(113, 244)(114, 166)(115, 245)(116, 247)(117, 249)(118, 251)(119, 174)(120, 216)(121, 254)(122, 212)(139, 278)(140, 279)(141, 280)(142, 282)(143, 284)(144, 286)(145, 287)(146, 170)(147, 288)(148, 290)(149, 292)(150, 294)(151, 179)(152, 236)(153, 224)(154, 230)(155, 181)(156, 186)(157, 175)(158, 193)(159, 165)(160, 201)(161, 203)(162, 169)(163, 211)(164, 214)(167, 229)(168, 232)(171, 261)(172, 266)(173, 272)(176, 331)(177, 333)(178, 334)(180, 199)(182, 343)(183, 345)(184, 346)(185, 209)(187, 352)(188, 354)(189, 357)(190, 276)(191, 362)(192, 227)(194, 369)(195, 372)(196, 374)(197, 377)(198, 380)(200, 257)(202, 268)(204, 387)(205, 385)(206, 392)(207, 394)(208, 277)(210, 321)(213, 371)(215, 402)(217, 405)(218, 406)(219, 408)(220, 411)(221, 366)(222, 395)(223, 396)(225, 367)(226, 414)(228, 310)(231, 389)(234, 421)(238, 425)(240, 427)(242, 429)(246, 433)(248, 340)(250, 360)(252, 361)(253, 341)(255, 440)(256, 442)(258, 443)(259, 328)(260, 444)(262, 446)(263, 364)(264, 319)(265, 403)(267, 450)(269, 453)(270, 304)(271, 376)(273, 456)(274, 375)(275, 356)(281, 466)(283, 468)(285, 469)(289, 472)(291, 349)(293, 378)(295, 379)(296, 350)(297, 478)(298, 435)(299, 455)(300, 474)(301, 479)(302, 475)(303, 417)(305, 481)(306, 452)(307, 384)(308, 431)(309, 438)(311, 471)(312, 436)(313, 400)(314, 470)(315, 477)(316, 448)(317, 484)(318, 426)(320, 412)(322, 432)(323, 487)(324, 467)(325, 490)(326, 491)(327, 393)(329, 492)(330, 454)(332, 494)(335, 359)(336, 358)(337, 449)(338, 428)(339, 482)(342, 495)(344, 496)(347, 407)(348, 483)(351, 416)(353, 464)(355, 460)(363, 498)(365, 480)(368, 383)(370, 441)(373, 404)(381, 497)(382, 485)(386, 399)(388, 420)(390, 423)(391, 422)(397, 499)(398, 488)(401, 437)(409, 493)(410, 445)(413, 501)(415, 451)(418, 476)(419, 457)(424, 486)(430, 447)(434, 500)(439, 502)(458, 504)(459, 463)(461, 503)(462, 473)(465, 489)
	local type(s) :: { ( 12^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 168 e = 252 f = 42
	degree seq :: [ 3^168 ]

E22.1756 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X2^-1 * X1)^12, X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, (X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1)^3, X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 ]
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, 91)(60, 92)(61, 93)(62, 94)(63, 95)(64, 96)(65, 97)(66, 98)(67, 99)(68, 100)(69, 101)(70, 102)(71, 103)(72, 104)(73, 105)(74, 106)(75, 107)(76, 108)(77, 109)(78, 110)(79, 111)(80, 112)(81, 113)(82, 114)(83, 115)(84, 116)(85, 117)(86, 118)(87, 119)(88, 120)(89, 121)(90, 122)(123, 254)(124, 256)(125, 258)(126, 155)(127, 261)(128, 263)(129, 226)(130, 260)(131, 214)(132, 267)(133, 216)(134, 175)(135, 271)(136, 272)(137, 273)(138, 270)(139, 275)(140, 277)(141, 279)(142, 157)(143, 282)(144, 284)(145, 192)(146, 281)(147, 266)(148, 287)(149, 269)(150, 178)(151, 290)(152, 291)(153, 293)(154, 289)(156, 297)(158, 304)(159, 307)(160, 311)(161, 312)(162, 316)(163, 317)(164, 320)(165, 323)(166, 326)(167, 328)(168, 332)(169, 333)(170, 337)(171, 338)(172, 341)(173, 259)(174, 345)(176, 253)(177, 351)(179, 355)(180, 357)(181, 361)(182, 231)(183, 285)(184, 368)(185, 366)(186, 247)(187, 280)(188, 375)(189, 348)(190, 210)(191, 354)(193, 383)(194, 387)(195, 389)(196, 362)(197, 200)(198, 392)(199, 394)(201, 212)(202, 400)(203, 239)(204, 390)(205, 224)(206, 264)(207, 408)(208, 409)(209, 410)(211, 412)(213, 393)(215, 378)(217, 421)(218, 422)(219, 248)(220, 425)(221, 427)(222, 430)(223, 395)(225, 349)(227, 434)(228, 233)(229, 438)(230, 369)(232, 440)(234, 445)(235, 302)(236, 448)(237, 244)(238, 451)(240, 456)(241, 457)(242, 363)(243, 462)(245, 325)(246, 437)(249, 454)(250, 431)(251, 356)(252, 419)(255, 464)(257, 459)(262, 473)(265, 403)(268, 342)(274, 482)(276, 485)(278, 486)(283, 491)(286, 360)(288, 372)(292, 443)(294, 298)(295, 487)(296, 322)(299, 493)(300, 327)(301, 308)(303, 306)(305, 313)(309, 496)(310, 350)(314, 488)(315, 365)(318, 329)(319, 449)(321, 334)(324, 339)(330, 446)(331, 398)(335, 469)(336, 406)(340, 411)(343, 470)(344, 420)(346, 370)(347, 418)(352, 376)(353, 478)(358, 381)(359, 405)(364, 384)(367, 416)(371, 465)(373, 444)(374, 480)(377, 489)(379, 497)(380, 463)(382, 436)(385, 423)(386, 502)(388, 424)(391, 474)(396, 415)(397, 402)(399, 466)(401, 432)(404, 476)(407, 458)(413, 439)(414, 461)(417, 484)(426, 504)(428, 433)(429, 479)(435, 442)(441, 477)(447, 475)(450, 490)(452, 460)(453, 492)(455, 498)(467, 481)(468, 495)(471, 483)(472, 494)(499, 503)(500, 501)(505, 507, 508)(506, 509, 510)(511, 515, 516)(512, 517, 518)(513, 519, 520)(514, 521, 522)(523, 531, 532)(524, 533, 534)(525, 535, 536)(526, 537, 538)(527, 539, 540)(528, 541, 542)(529, 543, 544)(530, 545, 546)(547, 563, 564)(548, 565, 566)(549, 567, 568)(550, 569, 570)(551, 571, 572)(552, 573, 574)(553, 575, 576)(554, 577, 578)(555, 579, 580)(556, 581, 582)(557, 583, 584)(558, 585, 586)(559, 587, 588)(560, 589, 590)(561, 591, 592)(562, 593, 594)(595, 627, 628)(596, 629, 630)(597, 631, 632)(598, 633, 634)(599, 635, 636)(600, 637, 638)(601, 639, 640)(602, 641, 642)(603, 643, 644)(604, 645, 646)(605, 647, 648)(606, 649, 650)(607, 651, 652)(608, 653, 654)(609, 655, 656)(610, 657, 658)(611, 736, 945)(612, 738, 801)(613, 739, 950)(614, 741, 953)(615, 743, 957)(616, 728, 865)(617, 727, 674)(618, 681, 856)(619, 745, 962)(620, 747, 808)(621, 749, 967)(622, 751, 790)(623, 753, 782)(624, 754, 789)(625, 756, 698)(626, 715, 733)(659, 798, 800)(660, 802, 804)(661, 805, 807)(662, 809, 810)(663, 812, 814)(664, 748, 755)(665, 817, 819)(666, 730, 734)(667, 822, 823)(668, 825, 826)(669, 828, 764)(670, 772, 831)(671, 833, 835)(672, 696, 700)(673, 838, 840)(675, 843, 844)(676, 690, 693)(677, 846, 848)(678, 850, 785)(679, 852, 717)(680, 792, 854)(682, 845, 769)(683, 719, 860)(684, 862, 864)(685, 866, 706)(686, 868, 869)(687, 836, 871)(688, 708, 873)(689, 874, 875)(691, 876, 878)(692, 880, 881)(694, 882, 884)(695, 885, 886)(697, 888, 890)(699, 774, 766)(701, 894, 788)(702, 889, 897)(703, 899, 711)(704, 901, 902)(705, 841, 903)(707, 905, 907)(709, 909, 910)(710, 820, 911)(712, 877, 904)(713, 775, 722)(714, 900, 915)(716, 776, 917)(718, 918, 920)(720, 922, 924)(721, 815, 781)(723, 927, 928)(724, 906, 930)(725, 777, 933)(726, 793, 787)(729, 936, 937)(731, 863, 939)(732, 797, 941)(735, 898, 767)(737, 948, 947)(740, 919, 951)(742, 855, 954)(744, 942, 959)(746, 965, 964)(750, 851, 968)(752, 916, 938)(757, 914, 834)(758, 960, 971)(759, 883, 912)(760, 796, 811)(761, 794, 778)(762, 955, 973)(763, 908, 969)(765, 861, 976)(768, 795, 978)(770, 979, 970)(771, 803, 821)(773, 982, 984)(779, 987, 988)(780, 847, 872)(783, 991, 992)(784, 867, 993)(786, 896, 994)(791, 813, 824)(799, 827, 996)(806, 849, 998)(816, 981, 892)(818, 830, 990)(829, 913, 983)(832, 985, 932)(837, 921, 940)(839, 859, 963)(842, 1003, 956)(853, 977, 887)(857, 989, 923)(858, 995, 929)(870, 1002, 952)(879, 1004, 999)(891, 1001, 925)(893, 1005, 975)(895, 926, 946)(931, 974, 949)(934, 1007, 944)(935, 986, 1006)(943, 958, 1008)(961, 972, 980)(966, 997, 1000)
	L = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)
	local type(s) :: { ( 24, 24 ), ( 24^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 420 e = 504 f = 42
	degree seq :: [ 2^252, 3^168 ]

E22.1757 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1)^2, X2^12, (X2^4 * X1^-1)^3, X1^-1 * X2^3 * X1^-1 * X2^4 * X1^-1 * X2^3 * X1^-1 * X2^-2, X2 * X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2 * X1 * X2^3 * X1^-1, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-2 * X1 * X2^-3 * X1 * X2^-1, X1 * X2^-2 * X1^-1 * X2^3 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2^2, X2^-1 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2^-3, (X2^2 * X1^-1 * X2^5 * X1^-1)^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, 38)(22, 30, 42)(26, 47, 45)(27, 49, 51)(32, 57, 55)(34, 61, 59)(35, 63, 39)(37, 66, 68)(40, 60, 72)(41, 73, 75)(43, 46, 78)(44, 79, 52)(48, 85, 83)(50, 88, 90)(53, 56, 94)(54, 95, 76)(58, 101, 99)(62, 107, 105)(64, 111, 109)(65, 113, 69)(67, 116, 118)(70, 110, 122)(71, 123, 125)(74, 128, 130)(77, 133, 135)(80, 139, 137)(81, 84, 142)(82, 143, 136)(86, 149, 147)(87, 150, 91)(89, 153, 155)(92, 138, 159)(93, 160, 162)(96, 166, 164)(97, 100, 169)(98, 170, 163)(102, 176, 174)(103, 106, 178)(104, 179, 126)(108, 185, 183)(112, 191, 189)(114, 195, 193)(115, 197, 119)(117, 200, 201)(120, 194, 205)(121, 206, 208)(124, 211, 213)(127, 216, 131)(129, 219, 220)(132, 165, 224)(134, 226, 228)(140, 235, 233)(141, 237, 239)(144, 243, 241)(145, 148, 246)(146, 247, 240)(151, 254, 252)(152, 256, 156)(154, 259, 260)(157, 253, 264)(158, 265, 267)(161, 270, 272)(167, 279, 277)(168, 281, 283)(171, 287, 285)(172, 175, 290)(173, 291, 284)(177, 295, 297)(180, 301, 299)(181, 184, 304)(182, 305, 298)(186, 310, 308)(187, 190, 312)(188, 313, 209)(192, 319, 317)(196, 325, 323)(198, 329, 327)(199, 331, 202)(203, 328, 336)(204, 337, 338)(207, 341, 244)(210, 345, 214)(212, 348, 349)(215, 300, 352)(217, 355, 353)(218, 357, 221)(222, 354, 361)(223, 362, 364)(225, 366, 229)(227, 369, 371)(230, 242, 374)(231, 234, 376)(232, 377, 268)(236, 381, 380)(238, 383, 385)(245, 392, 394)(248, 347, 396)(249, 251, 399)(250, 400, 395)(255, 405, 403)(257, 314, 407)(258, 409, 261)(262, 408, 413)(263, 350, 414)(266, 416, 288)(269, 419, 273)(271, 421, 423)(274, 286, 425)(275, 278, 426)(276, 330, 365)(280, 429, 428)(282, 311, 431)(289, 434, 436)(292, 368, 437)(293, 294, 440)(296, 375, 443)(302, 363, 445)(303, 386, 382)(306, 388, 390)(307, 309, 450)(315, 318, 372)(316, 379, 427)(320, 412, 411)(321, 324, 438)(322, 356, 339)(326, 459, 458)(332, 465, 406)(333, 422, 334)(335, 417, 433)(340, 415, 343)(342, 391, 441)(344, 453, 470)(346, 373, 471)(351, 475, 420)(358, 378, 480)(359, 460, 360)(367, 424, 483)(370, 451, 452)(384, 489, 439)(387, 397, 478)(389, 490, 486)(393, 491, 493)(398, 442, 495)(401, 481, 446)(402, 404, 448)(410, 468, 479)(418, 487, 499)(430, 503, 449)(432, 494, 501)(435, 504, 469)(444, 466, 477)(447, 457, 498)(454, 476, 496)(455, 456, 500)(461, 463, 497)(462, 472, 467)(464, 492, 482)(473, 488, 474)(484, 502, 485)(505, 507, 513, 523, 541, 571, 621, 590, 552, 530, 517, 509)(506, 510, 518, 531, 554, 593, 658, 606, 562, 536, 520, 511)(508, 515, 526, 545, 578, 633, 690, 612, 566, 538, 521, 512)(514, 525, 544, 575, 628, 716, 824, 696, 616, 568, 539, 522)(516, 527, 547, 581, 638, 731, 874, 740, 644, 584, 548, 528)(519, 533, 557, 597, 665, 775, 926, 784, 671, 600, 558, 534)(524, 543, 574, 625, 711, 846, 964, 830, 700, 618, 569, 540)(529, 549, 585, 645, 742, 888, 944, 895, 748, 648, 586, 550)(532, 556, 596, 662, 770, 921, 835, 910, 759, 655, 591, 553)(535, 559, 601, 672, 786, 934, 954, 937, 792, 675, 602, 560)(537, 563, 607, 681, 800, 946, 903, 950, 806, 684, 608, 564)(542, 573, 624, 708, 739, 884, 992, 968, 834, 702, 619, 570)(546, 580, 636, 727, 867, 985, 913, 983, 860, 721, 631, 577)(551, 587, 649, 749, 897, 996, 977, 852, 717, 752, 650, 588)(555, 595, 661, 767, 783, 932, 1006, 957, 817, 761, 656, 592)(561, 603, 676, 793, 939, 974, 988, 873, 732, 796, 677, 604)(565, 609, 685, 807, 951, 1003, 1004, 925, 776, 810, 686, 610)(567, 613, 691, 815, 787, 896, 750, 899, 958, 818, 692, 614)(572, 623, 707, 679, 605, 678, 797, 943, 970, 836, 703, 620)(576, 630, 719, 855, 980, 904, 861, 984, 976, 850, 714, 627)(579, 635, 726, 822, 695, 821, 959, 991, 881, 862, 722, 632)(582, 640, 734, 877, 966, 832, 701, 831, 965, 871, 729, 637)(583, 641, 735, 879, 801, 938, 794, 840, 971, 882, 736, 642)(589, 651, 753, 902, 998, 963, 863, 723, 634, 725, 754, 652)(594, 660, 766, 688, 611, 687, 811, 953, 994, 914, 762, 657)(598, 667, 778, 928, 1001, 912, 760, 911, 1000, 924, 773, 664)(599, 668, 779, 887, 743, 890, 808, 917, 967, 833, 780, 669)(615, 693, 819, 870, 987, 929, 1005, 999, 947, 880, 820, 694)(617, 697, 825, 961, 886, 741, 646, 744, 891, 859, 826, 698)(622, 706, 839, 813, 689, 812, 955, 875, 989, 933, 837, 704)(626, 713, 848, 973, 901, 751, 900, 791, 920, 771, 844, 710)(629, 718, 854, 768, 829, 962, 936, 790, 674, 789, 851, 715)(639, 733, 876, 865, 909, 969, 948, 804, 683, 803, 872, 730)(643, 737, 842, 923, 979, 856, 981, 993, 889, 930, 883, 738)(647, 745, 892, 774, 666, 777, 841, 709, 843, 972, 893, 746)(653, 705, 838, 927, 960, 823, 915, 763, 659, 765, 905, 755)(654, 756, 906, 995, 898, 785, 673, 788, 828, 699, 827, 757)(663, 772, 922, 1002, 942, 795, 941, 805, 949, 868, 919, 769)(670, 781, 918, 849, 975, 878, 990, 1007, 935, 816, 931, 782)(680, 764, 916, 853, 978, 885, 956, 814, 724, 864, 945, 798)(682, 802, 908, 758, 907, 858, 720, 857, 982, 1008, 940, 799)(712, 847, 866, 728, 869, 986, 997, 952, 809, 894, 747, 845)
	L = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)
	local type(s) :: { ( 4^3 ), ( 4^12 ) }
Outer automorphisms :: chiral
Dual of E22.1759
Transitivity :: ET+
Graph:: simple bipartite
	v = 210 e = 504 f = 252
	degree seq :: [ 3^168, 12^42 ]

E22.1758 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 12})
Quotient :: edge
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^3, X1^12, X1^-3 * X2 * X1 * X2 * X1 * X2 * X1^-8, X1 * X2 * X1^-4 * X2 * X1^-4 * X2 * X1 * X2 * X1^-3 * X2, X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1, (X1^-3 * X2 * X1^-2)^3, (X2 * X1^2 * X2 * X1^-5)^2, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-1 ]
Map:: polytopal
	R = (1, 2, 5, 11, 21, 37, 63, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 129, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 119, 192, 128, 78, 46, 26, 14)(9, 18, 32, 55, 92, 149, 226, 141, 86, 51, 29, 16)(12, 23, 41, 69, 113, 182, 289, 191, 118, 72, 42, 24)(19, 34, 58, 97, 157, 250, 374, 249, 156, 96, 57, 33)(22, 39, 67, 109, 176, 279, 405, 288, 181, 112, 68, 40)(28, 49, 83, 135, 216, 337, 391, 271, 221, 138, 84, 50)(30, 52, 87, 142, 227, 350, 392, 315, 199, 123, 75, 44)(35, 60, 100, 162, 258, 381, 415, 290, 257, 161, 99, 59)(38, 65, 107, 172, 273, 225, 348, 404, 278, 175, 108, 66)(45, 76, 124, 200, 316, 264, 388, 423, 296, 186, 115, 70)(48, 81, 133, 212, 333, 442, 480, 459, 336, 215, 134, 82)(53, 89, 145, 232, 357, 452, 479, 460, 356, 231, 144, 88)(56, 94, 153, 243, 369, 395, 270, 174, 276, 246, 154, 95)(61, 102, 165, 263, 386, 413, 306, 193, 305, 262, 164, 101)(64, 105, 170, 269, 236, 148, 237, 364, 397, 272, 171, 106)(71, 116, 187, 297, 261, 163, 260, 384, 410, 283, 178, 110)(74, 121, 196, 309, 436, 496, 454, 331, 439, 312, 197, 122)(77, 126, 203, 321, 448, 502, 469, 351, 447, 320, 202, 125)(80, 131, 210, 323, 204, 127, 205, 324, 451, 332, 211, 132)(85, 139, 222, 344, 466, 363, 394, 481, 464, 340, 218, 136)(90, 147, 235, 362, 474, 366, 240, 150, 239, 361, 234, 146)(93, 151, 241, 367, 420, 343, 396, 482, 425, 298, 242, 152)(98, 159, 254, 358, 400, 275, 173, 111, 179, 284, 255, 160)(103, 167, 266, 389, 430, 303, 209, 130, 208, 329, 265, 166)(104, 168, 267, 390, 325, 206, 326, 238, 365, 393, 268, 169)(114, 184, 293, 418, 493, 478, 385, 434, 342, 220, 294, 185)(117, 189, 300, 217, 339, 462, 387, 443, 499, 426, 299, 188)(120, 194, 307, 428, 301, 190, 302, 429, 501, 435, 308, 195)(137, 219, 341, 465, 360, 233, 359, 445, 317, 444, 335, 213)(140, 224, 347, 437, 503, 476, 376, 251, 375, 446, 346, 223)(143, 229, 354, 259, 383, 455, 330, 214, 285, 180, 286, 230)(155, 247, 372, 422, 484, 399, 274, 398, 483, 475, 370, 244)(158, 252, 377, 433, 311, 401, 277, 402, 319, 201, 318, 253)(177, 281, 407, 487, 473, 378, 256, 380, 441, 314, 408, 282)(183, 291, 416, 489, 411, 287, 412, 490, 463, 492, 417, 292)(198, 313, 440, 504, 450, 322, 449, 498, 424, 497, 438, 310)(207, 327, 414, 491, 468, 349, 432, 304, 431, 486, 453, 328)(228, 352, 470, 368, 245, 371, 456, 488, 409, 345, 467, 353)(248, 280, 406, 334, 457, 485, 403, 382, 471, 355, 472, 373)(295, 421, 495, 461, 338, 427, 500, 477, 379, 458, 494, 419)(505, 507)(506, 510)(508, 513)(509, 516)(511, 520)(512, 517)(514, 523)(515, 526)(518, 527)(519, 532)(521, 534)(522, 537)(524, 539)(525, 542)(528, 543)(529, 548)(530, 549)(531, 552)(533, 553)(535, 557)(536, 560)(538, 563)(540, 565)(541, 568)(544, 569)(545, 574)(546, 575)(547, 578)(550, 581)(551, 584)(554, 585)(555, 589)(556, 592)(558, 594)(559, 597)(561, 598)(562, 602)(564, 605)(566, 607)(567, 608)(570, 609)(571, 614)(572, 615)(573, 618)(576, 621)(577, 624)(579, 625)(580, 629)(582, 631)(583, 634)(586, 635)(587, 640)(588, 641)(590, 644)(591, 647)(593, 650)(595, 652)(596, 654)(599, 655)(600, 659)(601, 662)(603, 663)(604, 667)(606, 670)(610, 672)(611, 677)(612, 678)(613, 681)(616, 684)(617, 687)(619, 688)(620, 692)(622, 694)(623, 697)(626, 698)(627, 702)(628, 705)(630, 708)(632, 710)(633, 711)(636, 712)(637, 717)(638, 718)(639, 721)(642, 724)(643, 727)(645, 729)(646, 732)(648, 733)(649, 737)(651, 740)(653, 742)(656, 743)(657, 748)(658, 749)(660, 752)(661, 755)(664, 756)(665, 760)(666, 763)(668, 764)(669, 768)(671, 673)(674, 774)(675, 775)(676, 778)(679, 781)(680, 784)(682, 785)(683, 789)(685, 791)(686, 794)(689, 795)(690, 799)(691, 802)(693, 805)(695, 807)(696, 808)(699, 809)(700, 814)(701, 815)(703, 818)(704, 821)(706, 822)(707, 826)(709, 829)(713, 831)(714, 834)(715, 835)(716, 838)(719, 788)(720, 842)(722, 843)(723, 846)(725, 847)(726, 849)(728, 777)(730, 853)(731, 855)(734, 856)(735, 859)(736, 862)(738, 863)(739, 867)(741, 832)(744, 869)(745, 872)(746, 803)(747, 825)(750, 816)(751, 877)(753, 783)(754, 868)(757, 879)(758, 882)(759, 883)(761, 796)(762, 886)(765, 887)(766, 889)(767, 891)(769, 892)(770, 854)(771, 895)(772, 896)(773, 898)(776, 900)(779, 902)(780, 905)(782, 907)(786, 910)(787, 913)(790, 915)(792, 917)(793, 918)(797, 923)(798, 924)(800, 926)(801, 928)(804, 931)(806, 934)(810, 935)(811, 937)(812, 938)(813, 941)(817, 945)(819, 946)(820, 947)(823, 948)(824, 950)(827, 953)(828, 956)(830, 936)(833, 958)(836, 960)(837, 912)(839, 961)(840, 962)(841, 964)(844, 967)(845, 939)(848, 914)(850, 971)(851, 903)(852, 972)(857, 951)(858, 975)(860, 965)(861, 977)(864, 904)(865, 930)(866, 922)(870, 963)(871, 920)(873, 954)(874, 952)(875, 943)(876, 925)(878, 957)(880, 901)(881, 981)(884, 921)(885, 908)(888, 982)(890, 916)(893, 973)(894, 983)(897, 984)(899, 985)(906, 989)(909, 990)(911, 992)(919, 995)(927, 1000)(929, 1001)(932, 1004)(933, 1006)(940, 988)(942, 1007)(944, 996)(949, 1003)(955, 991)(959, 1002)(966, 994)(968, 1008)(969, 987)(970, 997)(974, 993)(976, 999)(978, 998)(979, 1005)(980, 986)
	L = (1, 505)(2, 506)(3, 507)(4, 508)(5, 509)(6, 510)(7, 511)(8, 512)(9, 513)(10, 514)(11, 515)(12, 516)(13, 517)(14, 518)(15, 519)(16, 520)(17, 521)(18, 522)(19, 523)(20, 524)(21, 525)(22, 526)(23, 527)(24, 528)(25, 529)(26, 530)(27, 531)(28, 532)(29, 533)(30, 534)(31, 535)(32, 536)(33, 537)(34, 538)(35, 539)(36, 540)(37, 541)(38, 542)(39, 543)(40, 544)(41, 545)(42, 546)(43, 547)(44, 548)(45, 549)(46, 550)(47, 551)(48, 552)(49, 553)(50, 554)(51, 555)(52, 556)(53, 557)(54, 558)(55, 559)(56, 560)(57, 561)(58, 562)(59, 563)(60, 564)(61, 565)(62, 566)(63, 567)(64, 568)(65, 569)(66, 570)(67, 571)(68, 572)(69, 573)(70, 574)(71, 575)(72, 576)(73, 577)(74, 578)(75, 579)(76, 580)(77, 581)(78, 582)(79, 583)(80, 584)(81, 585)(82, 586)(83, 587)(84, 588)(85, 589)(86, 590)(87, 591)(88, 592)(89, 593)(90, 594)(91, 595)(92, 596)(93, 597)(94, 598)(95, 599)(96, 600)(97, 601)(98, 602)(99, 603)(100, 604)(101, 605)(102, 606)(103, 607)(104, 608)(105, 609)(106, 610)(107, 611)(108, 612)(109, 613)(110, 614)(111, 615)(112, 616)(113, 617)(114, 618)(115, 619)(116, 620)(117, 621)(118, 622)(119, 623)(120, 624)(121, 625)(122, 626)(123, 627)(124, 628)(125, 629)(126, 630)(127, 631)(128, 632)(129, 633)(130, 634)(131, 635)(132, 636)(133, 637)(134, 638)(135, 639)(136, 640)(137, 641)(138, 642)(139, 643)(140, 644)(141, 645)(142, 646)(143, 647)(144, 648)(145, 649)(146, 650)(147, 651)(148, 652)(149, 653)(150, 654)(151, 655)(152, 656)(153, 657)(154, 658)(155, 659)(156, 660)(157, 661)(158, 662)(159, 663)(160, 664)(161, 665)(162, 666)(163, 667)(164, 668)(165, 669)(166, 670)(167, 671)(168, 672)(169, 673)(170, 674)(171, 675)(172, 676)(173, 677)(174, 678)(175, 679)(176, 680)(177, 681)(178, 682)(179, 683)(180, 684)(181, 685)(182, 686)(183, 687)(184, 688)(185, 689)(186, 690)(187, 691)(188, 692)(189, 693)(190, 694)(191, 695)(192, 696)(193, 697)(194, 698)(195, 699)(196, 700)(197, 701)(198, 702)(199, 703)(200, 704)(201, 705)(202, 706)(203, 707)(204, 708)(205, 709)(206, 710)(207, 711)(208, 712)(209, 713)(210, 714)(211, 715)(212, 716)(213, 717)(214, 718)(215, 719)(216, 720)(217, 721)(218, 722)(219, 723)(220, 724)(221, 725)(222, 726)(223, 727)(224, 728)(225, 729)(226, 730)(227, 731)(228, 732)(229, 733)(230, 734)(231, 735)(232, 736)(233, 737)(234, 738)(235, 739)(236, 740)(237, 741)(238, 742)(239, 743)(240, 744)(241, 745)(242, 746)(243, 747)(244, 748)(245, 749)(246, 750)(247, 751)(248, 752)(249, 753)(250, 754)(251, 755)(252, 756)(253, 757)(254, 758)(255, 759)(256, 760)(257, 761)(258, 762)(259, 763)(260, 764)(261, 765)(262, 766)(263, 767)(264, 768)(265, 769)(266, 770)(267, 771)(268, 772)(269, 773)(270, 774)(271, 775)(272, 776)(273, 777)(274, 778)(275, 779)(276, 780)(277, 781)(278, 782)(279, 783)(280, 784)(281, 785)(282, 786)(283, 787)(284, 788)(285, 789)(286, 790)(287, 791)(288, 792)(289, 793)(290, 794)(291, 795)(292, 796)(293, 797)(294, 798)(295, 799)(296, 800)(297, 801)(298, 802)(299, 803)(300, 804)(301, 805)(302, 806)(303, 807)(304, 808)(305, 809)(306, 810)(307, 811)(308, 812)(309, 813)(310, 814)(311, 815)(312, 816)(313, 817)(314, 818)(315, 819)(316, 820)(317, 821)(318, 822)(319, 823)(320, 824)(321, 825)(322, 826)(323, 827)(324, 828)(325, 829)(326, 830)(327, 831)(328, 832)(329, 833)(330, 834)(331, 835)(332, 836)(333, 837)(334, 838)(335, 839)(336, 840)(337, 841)(338, 842)(339, 843)(340, 844)(341, 845)(342, 846)(343, 847)(344, 848)(345, 849)(346, 850)(347, 851)(348, 852)(349, 853)(350, 854)(351, 855)(352, 856)(353, 857)(354, 858)(355, 859)(356, 860)(357, 861)(358, 862)(359, 863)(360, 864)(361, 865)(362, 866)(363, 867)(364, 868)(365, 869)(366, 870)(367, 871)(368, 872)(369, 873)(370, 874)(371, 875)(372, 876)(373, 877)(374, 878)(375, 879)(376, 880)(377, 881)(378, 882)(379, 883)(380, 884)(381, 885)(382, 886)(383, 887)(384, 888)(385, 889)(386, 890)(387, 891)(388, 892)(389, 893)(390, 894)(391, 895)(392, 896)(393, 897)(394, 898)(395, 899)(396, 900)(397, 901)(398, 902)(399, 903)(400, 904)(401, 905)(402, 906)(403, 907)(404, 908)(405, 909)(406, 910)(407, 911)(408, 912)(409, 913)(410, 914)(411, 915)(412, 916)(413, 917)(414, 918)(415, 919)(416, 920)(417, 921)(418, 922)(419, 923)(420, 924)(421, 925)(422, 926)(423, 927)(424, 928)(425, 929)(426, 930)(427, 931)(428, 932)(429, 933)(430, 934)(431, 935)(432, 936)(433, 937)(434, 938)(435, 939)(436, 940)(437, 941)(438, 942)(439, 943)(440, 944)(441, 945)(442, 946)(443, 947)(444, 948)(445, 949)(446, 950)(447, 951)(448, 952)(449, 953)(450, 954)(451, 955)(452, 956)(453, 957)(454, 958)(455, 959)(456, 960)(457, 961)(458, 962)(459, 963)(460, 964)(461, 965)(462, 966)(463, 967)(464, 968)(465, 969)(466, 970)(467, 971)(468, 972)(469, 973)(470, 974)(471, 975)(472, 976)(473, 977)(474, 978)(475, 979)(476, 980)(477, 981)(478, 982)(479, 983)(480, 984)(481, 985)(482, 986)(483, 987)(484, 988)(485, 989)(486, 990)(487, 991)(488, 992)(489, 993)(490, 994)(491, 995)(492, 996)(493, 997)(494, 998)(495, 999)(496, 1000)(497, 1001)(498, 1002)(499, 1003)(500, 1004)(501, 1005)(502, 1006)(503, 1007)(504, 1008)
	local type(s) :: { ( 6, 6 ), ( 6^12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 294 e = 504 f = 168
	degree seq :: [ 2^252, 12^42 ]

E22.1759 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X2^-1 * X1)^12, X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, (X1 * X2 * X1 * X2 * X1 * X2 * X1 * X2^-1)^3, X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 505, 2, 506)(3, 507, 7, 511)(4, 508, 8, 512)(5, 509, 9, 513)(6, 510, 10, 514)(11, 515, 19, 523)(12, 516, 20, 524)(13, 517, 21, 525)(14, 518, 22, 526)(15, 519, 23, 527)(16, 520, 24, 528)(17, 521, 25, 529)(18, 522, 26, 530)(27, 531, 43, 547)(28, 532, 44, 548)(29, 533, 45, 549)(30, 534, 46, 550)(31, 535, 47, 551)(32, 536, 48, 552)(33, 537, 49, 553)(34, 538, 50, 554)(35, 539, 51, 555)(36, 540, 52, 556)(37, 541, 53, 557)(38, 542, 54, 558)(39, 543, 55, 559)(40, 544, 56, 560)(41, 545, 57, 561)(42, 546, 58, 562)(59, 563, 91, 595)(60, 564, 92, 596)(61, 565, 93, 597)(62, 566, 94, 598)(63, 567, 95, 599)(64, 568, 96, 600)(65, 569, 97, 601)(66, 570, 98, 602)(67, 571, 99, 603)(68, 572, 100, 604)(69, 573, 101, 605)(70, 574, 102, 606)(71, 575, 103, 607)(72, 576, 104, 608)(73, 577, 105, 609)(74, 578, 106, 610)(75, 579, 107, 611)(76, 580, 108, 612)(77, 581, 109, 613)(78, 582, 110, 614)(79, 583, 111, 615)(80, 584, 112, 616)(81, 585, 113, 617)(82, 586, 114, 618)(83, 587, 115, 619)(84, 588, 116, 620)(85, 589, 117, 621)(86, 590, 118, 622)(87, 591, 119, 623)(88, 592, 120, 624)(89, 593, 121, 625)(90, 594, 122, 626)(123, 627, 212, 716)(124, 628, 255, 759)(125, 629, 190, 694)(126, 630, 223, 727)(127, 631, 207, 711)(128, 632, 211, 715)(129, 633, 260, 764)(130, 634, 261, 765)(131, 635, 263, 767)(132, 636, 265, 769)(133, 637, 267, 771)(134, 638, 170, 674)(135, 639, 269, 773)(136, 640, 271, 775)(137, 641, 273, 777)(138, 642, 274, 778)(139, 643, 259, 763)(140, 644, 276, 780)(141, 645, 221, 725)(142, 646, 228, 732)(143, 647, 254, 758)(144, 648, 258, 762)(145, 649, 280, 784)(146, 650, 281, 785)(147, 651, 283, 787)(148, 652, 285, 789)(149, 653, 287, 791)(150, 654, 162, 666)(151, 655, 289, 793)(152, 656, 291, 795)(153, 657, 217, 721)(154, 658, 293, 797)(155, 659, 172, 676)(156, 660, 169, 673)(157, 661, 186, 690)(158, 662, 188, 692)(159, 663, 192, 696)(160, 664, 171, 675)(161, 665, 163, 667)(164, 668, 224, 728)(165, 669, 229, 733)(166, 670, 233, 737)(167, 671, 239, 743)(168, 672, 249, 753)(173, 677, 194, 698)(174, 678, 336, 840)(175, 679, 338, 842)(176, 680, 341, 845)(177, 681, 344, 848)(178, 682, 346, 850)(179, 683, 349, 853)(180, 684, 352, 856)(181, 685, 355, 859)(182, 686, 358, 862)(183, 687, 361, 865)(184, 688, 364, 868)(185, 689, 367, 871)(187, 691, 226, 730)(189, 693, 231, 735)(191, 695, 243, 747)(193, 697, 253, 757)(195, 699, 234, 738)(196, 700, 388, 892)(197, 701, 391, 895)(198, 702, 392, 896)(199, 703, 232, 736)(200, 704, 395, 899)(201, 705, 379, 883)(202, 706, 362, 866)(203, 707, 252, 756)(204, 708, 381, 885)(205, 709, 403, 907)(206, 710, 406, 910)(208, 712, 410, 914)(209, 713, 396, 900)(210, 714, 405, 909)(213, 717, 413, 917)(214, 718, 370, 874)(215, 719, 345, 849)(216, 720, 415, 919)(218, 722, 372, 876)(219, 723, 393, 897)(220, 724, 418, 922)(222, 726, 402, 906)(225, 729, 427, 931)(227, 731, 363, 867)(230, 734, 433, 937)(235, 739, 416, 920)(236, 740, 440, 944)(237, 741, 420, 924)(238, 742, 300, 804)(240, 744, 373, 877)(241, 745, 450, 954)(242, 746, 330, 834)(244, 748, 454, 958)(245, 749, 435, 939)(246, 750, 455, 959)(247, 751, 350, 854)(248, 752, 308, 812)(250, 754, 438, 942)(251, 755, 462, 966)(256, 760, 407, 911)(257, 761, 366, 870)(262, 766, 470, 974)(264, 768, 375, 879)(266, 770, 322, 826)(268, 772, 411, 915)(270, 774, 376, 880)(272, 776, 404, 908)(275, 779, 475, 979)(277, 781, 477, 981)(278, 782, 368, 872)(279, 783, 394, 898)(282, 786, 437, 941)(284, 788, 331, 835)(286, 790, 337, 841)(288, 792, 461, 965)(290, 794, 333, 837)(292, 796, 365, 869)(294, 798, 444, 948)(295, 799, 463, 967)(296, 800, 428, 932)(297, 801, 467, 971)(298, 802, 452, 956)(299, 803, 400, 904)(301, 805, 419, 923)(302, 806, 408, 912)(303, 807, 385, 889)(304, 808, 386, 890)(305, 809, 378, 882)(306, 810, 434, 938)(307, 811, 480, 984)(309, 813, 357, 861)(310, 814, 447, 951)(311, 815, 472, 976)(312, 816, 390, 894)(313, 817, 488, 992)(314, 818, 340, 844)(315, 819, 468, 972)(316, 820, 398, 902)(317, 821, 335, 839)(318, 822, 412, 916)(319, 823, 353, 857)(320, 824, 374, 878)(321, 825, 465, 969)(323, 827, 414, 918)(324, 828, 329, 833)(325, 829, 382, 886)(326, 830, 449, 953)(327, 831, 481, 985)(328, 832, 490, 994)(332, 836, 476, 980)(334, 838, 478, 982)(339, 843, 459, 963)(342, 846, 422, 926)(343, 847, 445, 949)(347, 851, 484, 988)(348, 852, 456, 960)(351, 855, 492, 996)(354, 858, 443, 947)(356, 860, 431, 935)(359, 863, 439, 943)(360, 864, 425, 929)(369, 873, 499, 1003)(371, 875, 487, 991)(377, 881, 466, 970)(380, 884, 474, 978)(383, 887, 389, 893)(384, 888, 448, 952)(387, 891, 409, 913)(397, 901, 502, 1006)(399, 903, 464, 968)(401, 905, 503, 1007)(417, 921, 441, 945)(421, 925, 485, 989)(423, 927, 442, 946)(424, 928, 451, 955)(426, 930, 493, 997)(429, 933, 504, 1008)(430, 934, 458, 962)(432, 936, 473, 977)(436, 940, 489, 993)(446, 950, 471, 975)(453, 957, 494, 998)(457, 961, 501, 1005)(460, 964, 482, 986)(469, 973, 497, 1001)(479, 983, 500, 1004)(483, 987, 486, 990)(491, 995, 495, 999)(496, 1000, 498, 1002)
	L = (1, 507)(2, 509)(3, 508)(4, 505)(5, 510)(6, 506)(7, 515)(8, 517)(9, 519)(10, 521)(11, 516)(12, 511)(13, 518)(14, 512)(15, 520)(16, 513)(17, 522)(18, 514)(19, 531)(20, 533)(21, 535)(22, 537)(23, 539)(24, 541)(25, 543)(26, 545)(27, 532)(28, 523)(29, 534)(30, 524)(31, 536)(32, 525)(33, 538)(34, 526)(35, 540)(36, 527)(37, 542)(38, 528)(39, 544)(40, 529)(41, 546)(42, 530)(43, 563)(44, 565)(45, 567)(46, 569)(47, 571)(48, 573)(49, 575)(50, 577)(51, 579)(52, 581)(53, 583)(54, 585)(55, 587)(56, 589)(57, 591)(58, 593)(59, 564)(60, 547)(61, 566)(62, 548)(63, 568)(64, 549)(65, 570)(66, 550)(67, 572)(68, 551)(69, 574)(70, 552)(71, 576)(72, 553)(73, 578)(74, 554)(75, 580)(76, 555)(77, 582)(78, 556)(79, 584)(80, 557)(81, 586)(82, 558)(83, 588)(84, 559)(85, 590)(86, 560)(87, 592)(88, 561)(89, 594)(90, 562)(91, 627)(92, 629)(93, 631)(94, 633)(95, 635)(96, 637)(97, 639)(98, 641)(99, 643)(100, 645)(101, 647)(102, 649)(103, 651)(104, 653)(105, 655)(106, 657)(107, 736)(108, 661)(109, 738)(110, 740)(111, 741)(112, 713)(113, 744)(114, 746)(115, 748)(116, 670)(117, 749)(118, 750)(119, 751)(120, 720)(121, 754)(122, 756)(123, 628)(124, 595)(125, 630)(126, 596)(127, 632)(128, 597)(129, 634)(130, 598)(131, 636)(132, 599)(133, 638)(134, 600)(135, 640)(136, 601)(137, 642)(138, 602)(139, 644)(140, 603)(141, 646)(142, 604)(143, 648)(144, 605)(145, 650)(146, 606)(147, 652)(148, 607)(149, 654)(150, 608)(151, 656)(152, 609)(153, 658)(154, 610)(155, 799)(156, 801)(157, 804)(158, 806)(159, 808)(160, 811)(161, 814)(162, 817)(163, 775)(164, 820)(165, 823)(166, 812)(167, 827)(168, 790)(169, 795)(170, 832)(171, 624)(172, 835)(173, 838)(174, 815)(175, 843)(176, 719)(177, 802)(178, 851)(179, 770)(180, 819)(181, 860)(182, 706)(183, 800)(184, 869)(185, 872)(186, 874)(187, 877)(188, 879)(189, 881)(190, 883)(191, 773)(192, 887)(193, 779)(194, 616)(195, 831)(196, 893)(197, 685)(198, 805)(199, 897)(200, 900)(201, 834)(202, 864)(203, 700)(204, 807)(205, 908)(206, 911)(207, 836)(208, 768)(209, 698)(210, 679)(211, 760)(212, 907)(213, 771)(214, 777)(215, 847)(216, 675)(217, 712)(218, 809)(219, 797)(220, 923)(221, 856)(222, 793)(223, 927)(224, 929)(225, 798)(226, 715)(227, 623)(228, 933)(229, 935)(230, 724)(231, 762)(232, 938)(233, 840)(234, 896)(235, 942)(236, 945)(237, 947)(238, 946)(239, 949)(240, 951)(241, 955)(242, 957)(243, 702)(244, 904)(245, 786)(246, 960)(247, 731)(248, 961)(249, 963)(250, 788)(251, 710)(252, 776)(253, 941)(254, 875)(255, 662)(256, 730)(257, 682)(258, 782)(259, 868)(260, 970)(261, 972)(262, 791)(263, 975)(264, 721)(265, 678)(266, 855)(267, 905)(268, 667)(269, 886)(270, 821)(271, 772)(272, 626)(273, 781)(274, 862)(275, 889)(276, 659)(277, 718)(278, 735)(279, 671)(280, 982)(281, 985)(282, 621)(283, 987)(284, 625)(285, 681)(286, 830)(287, 863)(288, 673)(289, 926)(290, 824)(291, 792)(292, 778)(293, 895)(294, 932)(295, 780)(296, 867)(297, 803)(298, 789)(299, 660)(300, 612)(301, 747)(302, 759)(303, 906)(304, 810)(305, 920)(306, 663)(307, 813)(308, 620)(309, 664)(310, 816)(311, 769)(312, 665)(313, 818)(314, 666)(315, 858)(316, 822)(317, 978)(318, 668)(319, 825)(320, 989)(321, 669)(322, 757)(323, 783)(324, 991)(325, 993)(326, 672)(327, 891)(328, 833)(329, 674)(330, 903)(331, 837)(332, 913)(333, 676)(334, 839)(335, 677)(336, 848)(337, 931)(338, 996)(339, 714)(340, 924)(341, 988)(342, 999)(343, 680)(344, 737)(345, 937)(346, 953)(347, 761)(348, 980)(349, 918)(350, 1002)(351, 683)(352, 865)(353, 954)(354, 684)(355, 1003)(356, 701)(357, 767)(358, 796)(359, 766)(360, 686)(361, 725)(362, 966)(363, 687)(364, 969)(365, 870)(366, 688)(367, 902)(368, 873)(369, 689)(370, 876)(371, 968)(372, 690)(373, 878)(374, 691)(375, 880)(376, 692)(377, 882)(378, 693)(379, 885)(380, 981)(381, 694)(382, 695)(383, 888)(384, 696)(385, 697)(386, 1005)(387, 699)(388, 1006)(389, 707)(390, 787)(391, 723)(392, 613)(393, 898)(394, 703)(395, 857)(396, 901)(397, 704)(398, 1004)(399, 705)(400, 619)(401, 717)(402, 708)(403, 916)(404, 909)(405, 709)(406, 890)(407, 755)(408, 1008)(409, 711)(410, 1007)(411, 854)(412, 716)(413, 841)(414, 1001)(415, 846)(416, 722)(417, 976)(418, 912)(419, 734)(420, 997)(421, 914)(422, 726)(423, 928)(424, 727)(425, 930)(426, 728)(427, 917)(428, 729)(429, 934)(430, 732)(431, 936)(432, 733)(433, 974)(434, 611)(435, 884)(436, 892)(437, 826)(438, 943)(439, 739)(440, 979)(441, 614)(442, 948)(443, 615)(444, 742)(445, 950)(446, 743)(447, 617)(448, 828)(449, 958)(450, 899)(451, 956)(452, 745)(453, 618)(454, 850)(455, 994)(456, 622)(457, 962)(458, 752)(459, 964)(460, 753)(461, 829)(462, 995)(463, 944)(464, 758)(465, 763)(466, 971)(467, 764)(468, 973)(469, 765)(470, 849)(471, 861)(472, 983)(473, 852)(474, 774)(475, 967)(476, 977)(477, 939)(478, 984)(479, 921)(480, 784)(481, 986)(482, 785)(483, 894)(484, 998)(485, 794)(486, 842)(487, 952)(488, 959)(489, 965)(490, 992)(491, 866)(492, 990)(493, 844)(494, 845)(495, 919)(496, 859)(497, 853)(498, 915)(499, 1000)(500, 871)(501, 910)(502, 940)(503, 925)(504, 922)
	local type(s) :: { ( 3, 12, 3, 12 ) }
Outer automorphisms :: chiral
Dual of E22.1757
Transitivity :: ET+ VT+
Graph:: simple
	v = 252 e = 504 f = 210
	degree seq :: [ 4^252 ]

E22.1760 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X1^3, (X2 * X1)^2, X2^12, (X2^4 * X1^-1)^3, X1^-1 * X2^3 * X1^-1 * X2^4 * X1^-1 * X2^3 * X1^-1 * X2^-2, X2 * X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1 * X2^-2 * X1 * X2 * X1 * X2^3 * X1^-1, X2^-1 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-2 * X1 * X2^-3 * X1 * X2^-1, X1 * X2^-2 * X1^-1 * X2^3 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2^2, X2^-1 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2^-3, (X2^2 * X1^-1 * X2^5 * X1^-1)^2 ]
Map::
	R = (1, 505, 2, 506, 4, 508)(3, 507, 8, 512, 10, 514)(5, 509, 12, 516, 6, 510)(7, 511, 15, 519, 11, 515)(9, 513, 18, 522, 20, 524)(13, 517, 25, 529, 23, 527)(14, 518, 24, 528, 28, 532)(16, 520, 31, 535, 29, 533)(17, 521, 33, 537, 21, 525)(19, 523, 36, 540, 38, 542)(22, 526, 30, 534, 42, 546)(26, 530, 47, 551, 45, 549)(27, 531, 49, 553, 51, 555)(32, 536, 57, 561, 55, 559)(34, 538, 61, 565, 59, 563)(35, 539, 63, 567, 39, 543)(37, 541, 66, 570, 68, 572)(40, 544, 60, 564, 72, 576)(41, 545, 73, 577, 75, 579)(43, 547, 46, 550, 78, 582)(44, 548, 79, 583, 52, 556)(48, 552, 85, 589, 83, 587)(50, 554, 88, 592, 90, 594)(53, 557, 56, 560, 94, 598)(54, 558, 95, 599, 76, 580)(58, 562, 101, 605, 99, 603)(62, 566, 107, 611, 105, 609)(64, 568, 111, 615, 109, 613)(65, 569, 113, 617, 69, 573)(67, 571, 116, 620, 118, 622)(70, 574, 110, 614, 122, 626)(71, 575, 123, 627, 125, 629)(74, 578, 128, 632, 130, 634)(77, 581, 133, 637, 135, 639)(80, 584, 139, 643, 137, 641)(81, 585, 84, 588, 142, 646)(82, 586, 143, 647, 136, 640)(86, 590, 149, 653, 147, 651)(87, 591, 150, 654, 91, 595)(89, 593, 153, 657, 155, 659)(92, 596, 138, 642, 159, 663)(93, 597, 160, 664, 162, 666)(96, 600, 166, 670, 164, 668)(97, 601, 100, 604, 169, 673)(98, 602, 170, 674, 163, 667)(102, 606, 176, 680, 174, 678)(103, 607, 106, 610, 178, 682)(104, 608, 179, 683, 126, 630)(108, 612, 185, 689, 183, 687)(112, 616, 191, 695, 189, 693)(114, 618, 195, 699, 193, 697)(115, 619, 197, 701, 119, 623)(117, 621, 200, 704, 201, 705)(120, 624, 194, 698, 205, 709)(121, 625, 206, 710, 208, 712)(124, 628, 211, 715, 213, 717)(127, 631, 216, 720, 131, 635)(129, 633, 219, 723, 220, 724)(132, 636, 165, 669, 224, 728)(134, 638, 226, 730, 228, 732)(140, 644, 235, 739, 233, 737)(141, 645, 237, 741, 239, 743)(144, 648, 243, 747, 241, 745)(145, 649, 148, 652, 246, 750)(146, 650, 247, 751, 240, 744)(151, 655, 254, 758, 252, 756)(152, 656, 256, 760, 156, 660)(154, 658, 259, 763, 260, 764)(157, 661, 253, 757, 264, 768)(158, 662, 265, 769, 267, 771)(161, 665, 270, 774, 272, 776)(167, 671, 279, 783, 277, 781)(168, 672, 281, 785, 283, 787)(171, 675, 287, 791, 285, 789)(172, 676, 175, 679, 290, 794)(173, 677, 291, 795, 284, 788)(177, 681, 295, 799, 297, 801)(180, 684, 301, 805, 299, 803)(181, 685, 184, 688, 304, 808)(182, 686, 305, 809, 298, 802)(186, 690, 310, 814, 308, 812)(187, 691, 190, 694, 312, 816)(188, 692, 313, 817, 209, 713)(192, 696, 319, 823, 317, 821)(196, 700, 325, 829, 323, 827)(198, 702, 329, 833, 327, 831)(199, 703, 331, 835, 202, 706)(203, 707, 328, 832, 336, 840)(204, 708, 337, 841, 338, 842)(207, 711, 341, 845, 244, 748)(210, 714, 345, 849, 214, 718)(212, 716, 348, 852, 349, 853)(215, 719, 300, 804, 352, 856)(217, 721, 355, 859, 353, 857)(218, 722, 357, 861, 221, 725)(222, 726, 354, 858, 361, 865)(223, 727, 362, 866, 364, 868)(225, 729, 366, 870, 229, 733)(227, 731, 369, 873, 371, 875)(230, 734, 242, 746, 374, 878)(231, 735, 234, 738, 376, 880)(232, 736, 377, 881, 268, 772)(236, 740, 381, 885, 380, 884)(238, 742, 383, 887, 385, 889)(245, 749, 392, 896, 394, 898)(248, 752, 347, 851, 396, 900)(249, 753, 251, 755, 399, 903)(250, 754, 400, 904, 395, 899)(255, 759, 405, 909, 403, 907)(257, 761, 314, 818, 407, 911)(258, 762, 409, 913, 261, 765)(262, 766, 408, 912, 413, 917)(263, 767, 350, 854, 414, 918)(266, 770, 416, 920, 288, 792)(269, 773, 419, 923, 273, 777)(271, 775, 421, 925, 423, 927)(274, 778, 286, 790, 425, 929)(275, 779, 278, 782, 426, 930)(276, 780, 330, 834, 365, 869)(280, 784, 429, 933, 428, 932)(282, 786, 311, 815, 431, 935)(289, 793, 434, 938, 436, 940)(292, 796, 368, 872, 437, 941)(293, 797, 294, 798, 440, 944)(296, 800, 375, 879, 443, 947)(302, 806, 363, 867, 445, 949)(303, 807, 386, 890, 382, 886)(306, 810, 388, 892, 390, 894)(307, 811, 309, 813, 450, 954)(315, 819, 318, 822, 372, 876)(316, 820, 379, 883, 427, 931)(320, 824, 412, 916, 411, 915)(321, 825, 324, 828, 438, 942)(322, 826, 356, 860, 339, 843)(326, 830, 459, 963, 458, 962)(332, 836, 465, 969, 406, 910)(333, 837, 422, 926, 334, 838)(335, 839, 417, 921, 433, 937)(340, 844, 415, 919, 343, 847)(342, 846, 391, 895, 441, 945)(344, 848, 453, 957, 470, 974)(346, 850, 373, 877, 471, 975)(351, 855, 475, 979, 420, 924)(358, 862, 378, 882, 480, 984)(359, 863, 460, 964, 360, 864)(367, 871, 424, 928, 483, 987)(370, 874, 451, 955, 452, 956)(384, 888, 489, 993, 439, 943)(387, 891, 397, 901, 478, 982)(389, 893, 490, 994, 486, 990)(393, 897, 491, 995, 493, 997)(398, 902, 442, 946, 495, 999)(401, 905, 481, 985, 446, 950)(402, 906, 404, 908, 448, 952)(410, 914, 468, 972, 479, 983)(418, 922, 487, 991, 499, 1003)(430, 934, 503, 1007, 449, 953)(432, 936, 494, 998, 501, 1005)(435, 939, 504, 1008, 469, 973)(444, 948, 466, 970, 477, 981)(447, 951, 457, 961, 498, 1002)(454, 958, 476, 980, 496, 1000)(455, 959, 456, 960, 500, 1004)(461, 965, 463, 967, 497, 1001)(462, 966, 472, 976, 467, 971)(464, 968, 492, 996, 482, 986)(473, 977, 488, 992, 474, 978)(484, 988, 502, 1006, 485, 989)
	L = (1, 507)(2, 510)(3, 513)(4, 515)(5, 505)(6, 518)(7, 506)(8, 508)(9, 523)(10, 525)(11, 526)(12, 527)(13, 509)(14, 531)(15, 533)(16, 511)(17, 512)(18, 514)(19, 541)(20, 543)(21, 544)(22, 545)(23, 547)(24, 516)(25, 549)(26, 517)(27, 554)(28, 556)(29, 557)(30, 519)(31, 559)(32, 520)(33, 563)(34, 521)(35, 522)(36, 524)(37, 571)(38, 573)(39, 574)(40, 575)(41, 578)(42, 580)(43, 581)(44, 528)(45, 585)(46, 529)(47, 587)(48, 530)(49, 532)(50, 593)(51, 595)(52, 596)(53, 597)(54, 534)(55, 601)(56, 535)(57, 603)(58, 536)(59, 607)(60, 537)(61, 609)(62, 538)(63, 613)(64, 539)(65, 540)(66, 542)(67, 621)(68, 623)(69, 624)(70, 625)(71, 628)(72, 630)(73, 546)(74, 633)(75, 635)(76, 636)(77, 638)(78, 640)(79, 641)(80, 548)(81, 645)(82, 550)(83, 649)(84, 551)(85, 651)(86, 552)(87, 553)(88, 555)(89, 658)(90, 660)(91, 661)(92, 662)(93, 665)(94, 667)(95, 668)(96, 558)(97, 672)(98, 560)(99, 676)(100, 561)(101, 678)(102, 562)(103, 681)(104, 564)(105, 685)(106, 565)(107, 687)(108, 566)(109, 691)(110, 567)(111, 693)(112, 568)(113, 697)(114, 569)(115, 570)(116, 572)(117, 590)(118, 706)(119, 707)(120, 708)(121, 711)(122, 713)(123, 576)(124, 716)(125, 718)(126, 719)(127, 577)(128, 579)(129, 690)(130, 725)(131, 726)(132, 727)(133, 582)(134, 731)(135, 733)(136, 734)(137, 735)(138, 583)(139, 737)(140, 584)(141, 742)(142, 744)(143, 745)(144, 586)(145, 749)(146, 588)(147, 753)(148, 589)(149, 705)(150, 756)(151, 591)(152, 592)(153, 594)(154, 606)(155, 765)(156, 766)(157, 767)(158, 770)(159, 772)(160, 598)(161, 775)(162, 777)(163, 778)(164, 779)(165, 599)(166, 781)(167, 600)(168, 786)(169, 788)(170, 789)(171, 602)(172, 793)(173, 604)(174, 797)(175, 605)(176, 764)(177, 800)(178, 802)(179, 803)(180, 608)(181, 807)(182, 610)(183, 811)(184, 611)(185, 812)(186, 612)(187, 815)(188, 614)(189, 819)(190, 615)(191, 821)(192, 616)(193, 825)(194, 617)(195, 827)(196, 618)(197, 831)(198, 619)(199, 620)(200, 622)(201, 838)(202, 839)(203, 679)(204, 739)(205, 843)(206, 626)(207, 846)(208, 847)(209, 848)(210, 627)(211, 629)(212, 824)(213, 752)(214, 854)(215, 855)(216, 857)(217, 631)(218, 632)(219, 634)(220, 864)(221, 754)(222, 822)(223, 867)(224, 869)(225, 637)(226, 639)(227, 874)(228, 796)(229, 876)(230, 877)(231, 879)(232, 642)(233, 842)(234, 643)(235, 884)(236, 644)(237, 646)(238, 888)(239, 890)(240, 891)(241, 892)(242, 647)(243, 845)(244, 648)(245, 897)(246, 899)(247, 900)(248, 650)(249, 902)(250, 652)(251, 653)(252, 906)(253, 654)(254, 907)(255, 655)(256, 911)(257, 656)(258, 657)(259, 659)(260, 916)(261, 905)(262, 688)(263, 783)(264, 829)(265, 663)(266, 921)(267, 844)(268, 922)(269, 664)(270, 666)(271, 926)(272, 810)(273, 841)(274, 928)(275, 887)(276, 669)(277, 918)(278, 670)(279, 932)(280, 671)(281, 673)(282, 934)(283, 896)(284, 828)(285, 851)(286, 674)(287, 920)(288, 675)(289, 939)(290, 840)(291, 941)(292, 677)(293, 943)(294, 680)(295, 682)(296, 946)(297, 938)(298, 908)(299, 872)(300, 683)(301, 949)(302, 684)(303, 951)(304, 917)(305, 894)(306, 686)(307, 953)(308, 955)(309, 689)(310, 724)(311, 787)(312, 931)(313, 761)(314, 692)(315, 870)(316, 694)(317, 959)(318, 695)(319, 915)(320, 696)(321, 961)(322, 698)(323, 757)(324, 699)(325, 962)(326, 700)(327, 965)(328, 701)(329, 780)(330, 702)(331, 910)(332, 703)(333, 704)(334, 927)(335, 813)(336, 971)(337, 709)(338, 923)(339, 972)(340, 710)(341, 712)(342, 964)(343, 866)(344, 973)(345, 975)(346, 714)(347, 715)(348, 717)(349, 978)(350, 768)(351, 980)(352, 981)(353, 982)(354, 720)(355, 826)(356, 721)(357, 984)(358, 722)(359, 723)(360, 945)(361, 909)(362, 728)(363, 985)(364, 919)(365, 986)(366, 987)(367, 729)(368, 730)(369, 732)(370, 740)(371, 989)(372, 865)(373, 966)(374, 990)(375, 801)(376, 820)(377, 862)(378, 736)(379, 738)(380, 992)(381, 956)(382, 741)(383, 743)(384, 944)(385, 930)(386, 808)(387, 859)(388, 774)(389, 746)(390, 747)(391, 748)(392, 750)(393, 996)(394, 785)(395, 958)(396, 791)(397, 751)(398, 998)(399, 950)(400, 861)(401, 755)(402, 995)(403, 858)(404, 758)(405, 969)(406, 759)(407, 1000)(408, 760)(409, 983)(410, 762)(411, 763)(412, 853)(413, 967)(414, 849)(415, 769)(416, 771)(417, 835)(418, 1002)(419, 979)(420, 773)(421, 776)(422, 784)(423, 960)(424, 1001)(425, 1005)(426, 883)(427, 782)(428, 1006)(429, 837)(430, 954)(431, 816)(432, 790)(433, 792)(434, 794)(435, 974)(436, 799)(437, 805)(438, 795)(439, 970)(440, 895)(441, 798)(442, 903)(443, 880)(444, 804)(445, 868)(446, 806)(447, 1003)(448, 809)(449, 994)(450, 937)(451, 875)(452, 814)(453, 817)(454, 818)(455, 991)(456, 823)(457, 886)(458, 936)(459, 863)(460, 830)(461, 871)(462, 832)(463, 833)(464, 834)(465, 948)(466, 836)(467, 882)(468, 893)(469, 901)(470, 988)(471, 878)(472, 850)(473, 852)(474, 885)(475, 856)(476, 904)(477, 993)(478, 1008)(479, 860)(480, 976)(481, 913)(482, 997)(483, 929)(484, 873)(485, 933)(486, 1007)(487, 881)(488, 968)(489, 889)(490, 914)(491, 898)(492, 977)(493, 952)(494, 963)(495, 947)(496, 924)(497, 912)(498, 942)(499, 1004)(500, 925)(501, 999)(502, 957)(503, 935)(504, 940)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 168 e = 504 f = 294
	degree seq :: [ 6^168 ]

E22.1761 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 12})
Quotient :: loop
Aut^+ = $<504, 160>$ (small group id <504, 160>)
Aut   = $<504, 160>$ (small group id <504, 160>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1)^3, X1^12, X1^-3 * X2 * X1 * X2 * X1 * X2 * X1^-8, X1 * X2 * X1^-4 * X2 * X1^-4 * X2 * X1 * X2 * X1^-3 * X2, X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1, (X1^-3 * X2 * X1^-2)^3, (X2 * X1^2 * X2 * X1^-5)^2, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-1 ]
Map::
	R = (1, 505, 2, 506, 5, 509, 11, 515, 21, 525, 37, 541, 63, 567, 62, 566, 36, 540, 20, 524, 10, 514, 4, 508)(3, 507, 7, 511, 15, 519, 27, 531, 47, 551, 79, 583, 129, 633, 91, 595, 54, 558, 31, 535, 17, 521, 8, 512)(6, 510, 13, 517, 25, 529, 43, 547, 73, 577, 119, 623, 192, 696, 128, 632, 78, 582, 46, 550, 26, 530, 14, 518)(9, 513, 18, 522, 32, 536, 55, 559, 92, 596, 149, 653, 226, 730, 141, 645, 86, 590, 51, 555, 29, 533, 16, 520)(12, 516, 23, 527, 41, 545, 69, 573, 113, 617, 182, 686, 289, 793, 191, 695, 118, 622, 72, 576, 42, 546, 24, 528)(19, 523, 34, 538, 58, 562, 97, 601, 157, 661, 250, 754, 374, 878, 249, 753, 156, 660, 96, 600, 57, 561, 33, 537)(22, 526, 39, 543, 67, 571, 109, 613, 176, 680, 279, 783, 405, 909, 288, 792, 181, 685, 112, 616, 68, 572, 40, 544)(28, 532, 49, 553, 83, 587, 135, 639, 216, 720, 337, 841, 391, 895, 271, 775, 221, 725, 138, 642, 84, 588, 50, 554)(30, 534, 52, 556, 87, 591, 142, 646, 227, 731, 350, 854, 392, 896, 315, 819, 199, 703, 123, 627, 75, 579, 44, 548)(35, 539, 60, 564, 100, 604, 162, 666, 258, 762, 381, 885, 415, 919, 290, 794, 257, 761, 161, 665, 99, 603, 59, 563)(38, 542, 65, 569, 107, 611, 172, 676, 273, 777, 225, 729, 348, 852, 404, 908, 278, 782, 175, 679, 108, 612, 66, 570)(45, 549, 76, 580, 124, 628, 200, 704, 316, 820, 264, 768, 388, 892, 423, 927, 296, 800, 186, 690, 115, 619, 70, 574)(48, 552, 81, 585, 133, 637, 212, 716, 333, 837, 442, 946, 480, 984, 459, 963, 336, 840, 215, 719, 134, 638, 82, 586)(53, 557, 89, 593, 145, 649, 232, 736, 357, 861, 452, 956, 479, 983, 460, 964, 356, 860, 231, 735, 144, 648, 88, 592)(56, 560, 94, 598, 153, 657, 243, 747, 369, 873, 395, 899, 270, 774, 174, 678, 276, 780, 246, 750, 154, 658, 95, 599)(61, 565, 102, 606, 165, 669, 263, 767, 386, 890, 413, 917, 306, 810, 193, 697, 305, 809, 262, 766, 164, 668, 101, 605)(64, 568, 105, 609, 170, 674, 269, 773, 236, 740, 148, 652, 237, 741, 364, 868, 397, 901, 272, 776, 171, 675, 106, 610)(71, 575, 116, 620, 187, 691, 297, 801, 261, 765, 163, 667, 260, 764, 384, 888, 410, 914, 283, 787, 178, 682, 110, 614)(74, 578, 121, 625, 196, 700, 309, 813, 436, 940, 496, 1000, 454, 958, 331, 835, 439, 943, 312, 816, 197, 701, 122, 626)(77, 581, 126, 630, 203, 707, 321, 825, 448, 952, 502, 1006, 469, 973, 351, 855, 447, 951, 320, 824, 202, 706, 125, 629)(80, 584, 131, 635, 210, 714, 323, 827, 204, 708, 127, 631, 205, 709, 324, 828, 451, 955, 332, 836, 211, 715, 132, 636)(85, 589, 139, 643, 222, 726, 344, 848, 466, 970, 363, 867, 394, 898, 481, 985, 464, 968, 340, 844, 218, 722, 136, 640)(90, 594, 147, 651, 235, 739, 362, 866, 474, 978, 366, 870, 240, 744, 150, 654, 239, 743, 361, 865, 234, 738, 146, 650)(93, 597, 151, 655, 241, 745, 367, 871, 420, 924, 343, 847, 396, 900, 482, 986, 425, 929, 298, 802, 242, 746, 152, 656)(98, 602, 159, 663, 254, 758, 358, 862, 400, 904, 275, 779, 173, 677, 111, 615, 179, 683, 284, 788, 255, 759, 160, 664)(103, 607, 167, 671, 266, 770, 389, 893, 430, 934, 303, 807, 209, 713, 130, 634, 208, 712, 329, 833, 265, 769, 166, 670)(104, 608, 168, 672, 267, 771, 390, 894, 325, 829, 206, 710, 326, 830, 238, 742, 365, 869, 393, 897, 268, 772, 169, 673)(114, 618, 184, 688, 293, 797, 418, 922, 493, 997, 478, 982, 385, 889, 434, 938, 342, 846, 220, 724, 294, 798, 185, 689)(117, 621, 189, 693, 300, 804, 217, 721, 339, 843, 462, 966, 387, 891, 443, 947, 499, 1003, 426, 930, 299, 803, 188, 692)(120, 624, 194, 698, 307, 811, 428, 932, 301, 805, 190, 694, 302, 806, 429, 933, 501, 1005, 435, 939, 308, 812, 195, 699)(137, 641, 219, 723, 341, 845, 465, 969, 360, 864, 233, 737, 359, 863, 445, 949, 317, 821, 444, 948, 335, 839, 213, 717)(140, 644, 224, 728, 347, 851, 437, 941, 503, 1007, 476, 980, 376, 880, 251, 755, 375, 879, 446, 950, 346, 850, 223, 727)(143, 647, 229, 733, 354, 858, 259, 763, 383, 887, 455, 959, 330, 834, 214, 718, 285, 789, 180, 684, 286, 790, 230, 734)(155, 659, 247, 751, 372, 876, 422, 926, 484, 988, 399, 903, 274, 778, 398, 902, 483, 987, 475, 979, 370, 874, 244, 748)(158, 662, 252, 756, 377, 881, 433, 937, 311, 815, 401, 905, 277, 781, 402, 906, 319, 823, 201, 705, 318, 822, 253, 757)(177, 681, 281, 785, 407, 911, 487, 991, 473, 977, 378, 882, 256, 760, 380, 884, 441, 945, 314, 818, 408, 912, 282, 786)(183, 687, 291, 795, 416, 920, 489, 993, 411, 915, 287, 791, 412, 916, 490, 994, 463, 967, 492, 996, 417, 921, 292, 796)(198, 702, 313, 817, 440, 944, 504, 1008, 450, 954, 322, 826, 449, 953, 498, 1002, 424, 928, 497, 1001, 438, 942, 310, 814)(207, 711, 327, 831, 414, 918, 491, 995, 468, 972, 349, 853, 432, 936, 304, 808, 431, 935, 486, 990, 453, 957, 328, 832)(228, 732, 352, 856, 470, 974, 368, 872, 245, 749, 371, 875, 456, 960, 488, 992, 409, 913, 345, 849, 467, 971, 353, 857)(248, 752, 280, 784, 406, 910, 334, 838, 457, 961, 485, 989, 403, 907, 382, 886, 471, 975, 355, 859, 472, 976, 373, 877)(295, 799, 421, 925, 495, 999, 461, 965, 338, 842, 427, 931, 500, 1004, 477, 981, 379, 883, 458, 962, 494, 998, 419, 923)
	L = (1, 507)(2, 510)(3, 505)(4, 513)(5, 516)(6, 506)(7, 520)(8, 517)(9, 508)(10, 523)(11, 526)(12, 509)(13, 512)(14, 527)(15, 532)(16, 511)(17, 534)(18, 537)(19, 514)(20, 539)(21, 542)(22, 515)(23, 518)(24, 543)(25, 548)(26, 549)(27, 552)(28, 519)(29, 553)(30, 521)(31, 557)(32, 560)(33, 522)(34, 563)(35, 524)(36, 565)(37, 568)(38, 525)(39, 528)(40, 569)(41, 574)(42, 575)(43, 578)(44, 529)(45, 530)(46, 581)(47, 584)(48, 531)(49, 533)(50, 585)(51, 589)(52, 592)(53, 535)(54, 594)(55, 597)(56, 536)(57, 598)(58, 602)(59, 538)(60, 605)(61, 540)(62, 607)(63, 608)(64, 541)(65, 544)(66, 609)(67, 614)(68, 615)(69, 618)(70, 545)(71, 546)(72, 621)(73, 624)(74, 547)(75, 625)(76, 629)(77, 550)(78, 631)(79, 634)(80, 551)(81, 554)(82, 635)(83, 640)(84, 641)(85, 555)(86, 644)(87, 647)(88, 556)(89, 650)(90, 558)(91, 652)(92, 654)(93, 559)(94, 561)(95, 655)(96, 659)(97, 662)(98, 562)(99, 663)(100, 667)(101, 564)(102, 670)(103, 566)(104, 567)(105, 570)(106, 672)(107, 677)(108, 678)(109, 681)(110, 571)(111, 572)(112, 684)(113, 687)(114, 573)(115, 688)(116, 692)(117, 576)(118, 694)(119, 697)(120, 577)(121, 579)(122, 698)(123, 702)(124, 705)(125, 580)(126, 708)(127, 582)(128, 710)(129, 711)(130, 583)(131, 586)(132, 712)(133, 717)(134, 718)(135, 721)(136, 587)(137, 588)(138, 724)(139, 727)(140, 590)(141, 729)(142, 732)(143, 591)(144, 733)(145, 737)(146, 593)(147, 740)(148, 595)(149, 742)(150, 596)(151, 599)(152, 743)(153, 748)(154, 749)(155, 600)(156, 752)(157, 755)(158, 601)(159, 603)(160, 756)(161, 760)(162, 763)(163, 604)(164, 764)(165, 768)(166, 606)(167, 673)(168, 610)(169, 671)(170, 774)(171, 775)(172, 778)(173, 611)(174, 612)(175, 781)(176, 784)(177, 613)(178, 785)(179, 789)(180, 616)(181, 791)(182, 794)(183, 617)(184, 619)(185, 795)(186, 799)(187, 802)(188, 620)(189, 805)(190, 622)(191, 807)(192, 808)(193, 623)(194, 626)(195, 809)(196, 814)(197, 815)(198, 627)(199, 818)(200, 821)(201, 628)(202, 822)(203, 826)(204, 630)(205, 829)(206, 632)(207, 633)(208, 636)(209, 831)(210, 834)(211, 835)(212, 838)(213, 637)(214, 638)(215, 788)(216, 842)(217, 639)(218, 843)(219, 846)(220, 642)(221, 847)(222, 849)(223, 643)(224, 777)(225, 645)(226, 853)(227, 855)(228, 646)(229, 648)(230, 856)(231, 859)(232, 862)(233, 649)(234, 863)(235, 867)(236, 651)(237, 832)(238, 653)(239, 656)(240, 869)(241, 872)(242, 803)(243, 825)(244, 657)(245, 658)(246, 816)(247, 877)(248, 660)(249, 783)(250, 868)(251, 661)(252, 664)(253, 879)(254, 882)(255, 883)(256, 665)(257, 796)(258, 886)(259, 666)(260, 668)(261, 887)(262, 889)(263, 891)(264, 669)(265, 892)(266, 854)(267, 895)(268, 896)(269, 898)(270, 674)(271, 675)(272, 900)(273, 728)(274, 676)(275, 902)(276, 905)(277, 679)(278, 907)(279, 753)(280, 680)(281, 682)(282, 910)(283, 913)(284, 719)(285, 683)(286, 915)(287, 685)(288, 917)(289, 918)(290, 686)(291, 689)(292, 761)(293, 923)(294, 924)(295, 690)(296, 926)(297, 928)(298, 691)(299, 746)(300, 931)(301, 693)(302, 934)(303, 695)(304, 696)(305, 699)(306, 935)(307, 937)(308, 938)(309, 941)(310, 700)(311, 701)(312, 750)(313, 945)(314, 703)(315, 946)(316, 947)(317, 704)(318, 706)(319, 948)(320, 950)(321, 747)(322, 707)(323, 953)(324, 956)(325, 709)(326, 936)(327, 713)(328, 741)(329, 958)(330, 714)(331, 715)(332, 960)(333, 912)(334, 716)(335, 961)(336, 962)(337, 964)(338, 720)(339, 722)(340, 967)(341, 939)(342, 723)(343, 725)(344, 914)(345, 726)(346, 971)(347, 903)(348, 972)(349, 730)(350, 770)(351, 731)(352, 734)(353, 951)(354, 975)(355, 735)(356, 965)(357, 977)(358, 736)(359, 738)(360, 904)(361, 930)(362, 922)(363, 739)(364, 754)(365, 744)(366, 963)(367, 920)(368, 745)(369, 954)(370, 952)(371, 943)(372, 925)(373, 751)(374, 957)(375, 757)(376, 901)(377, 981)(378, 758)(379, 759)(380, 921)(381, 908)(382, 762)(383, 765)(384, 982)(385, 766)(386, 916)(387, 767)(388, 769)(389, 973)(390, 983)(391, 771)(392, 772)(393, 984)(394, 773)(395, 985)(396, 776)(397, 880)(398, 779)(399, 851)(400, 864)(401, 780)(402, 989)(403, 782)(404, 885)(405, 990)(406, 786)(407, 992)(408, 837)(409, 787)(410, 848)(411, 790)(412, 890)(413, 792)(414, 793)(415, 995)(416, 871)(417, 884)(418, 866)(419, 797)(420, 798)(421, 876)(422, 800)(423, 1000)(424, 801)(425, 1001)(426, 865)(427, 804)(428, 1004)(429, 1006)(430, 806)(431, 810)(432, 830)(433, 811)(434, 812)(435, 845)(436, 988)(437, 813)(438, 1007)(439, 875)(440, 996)(441, 817)(442, 819)(443, 820)(444, 823)(445, 1003)(446, 824)(447, 857)(448, 874)(449, 827)(450, 873)(451, 991)(452, 828)(453, 878)(454, 833)(455, 1002)(456, 836)(457, 839)(458, 840)(459, 870)(460, 841)(461, 860)(462, 994)(463, 844)(464, 1008)(465, 987)(466, 997)(467, 850)(468, 852)(469, 893)(470, 993)(471, 858)(472, 999)(473, 861)(474, 998)(475, 1005)(476, 986)(477, 881)(478, 888)(479, 894)(480, 897)(481, 899)(482, 980)(483, 969)(484, 940)(485, 906)(486, 909)(487, 955)(488, 911)(489, 974)(490, 966)(491, 919)(492, 944)(493, 970)(494, 978)(495, 976)(496, 927)(497, 929)(498, 959)(499, 949)(500, 932)(501, 979)(502, 933)(503, 942)(504, 968)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 42 e = 504 f = 420
	degree seq :: [ 24^42 ]

E22.1762 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^3, T1^8, T1^8, (T2 * T1^3 * T2 * T1^-2 * T2 * T1^3)^2, (T1^-2 * T2 * T1^3 * T2 * T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 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, 333, 234, 160, 108)(76, 115, 170, 247, 350, 243, 167, 112)(81, 121, 179, 259, 372, 262, 180, 122)(86, 128, 189, 273, 392, 276, 190, 129)(93, 140, 204, 295, 409, 285, 197, 134)(96, 143, 209, 301, 432, 304, 210, 144)(99, 148, 216, 311, 445, 310, 215, 147)(100, 149, 217, 313, 448, 316, 218, 150)(113, 168, 244, 351, 486, 341, 237, 162)(116, 172, 250, 359, 506, 358, 249, 171)(118, 174, 253, 363, 513, 366, 254, 175)(125, 185, 268, 384, 534, 380, 265, 182)(127, 187, 271, 388, 541, 391, 272, 188)(132, 135, 198, 286, 410, 403, 281, 194)(138, 201, 291, 416, 576, 419, 292, 202)(141, 206, 298, 426, 587, 425, 297, 205)(142, 207, 299, 428, 590, 431, 300, 208)(153, 223, 322, 460, 625, 456, 319, 220)(156, 226, 327, 466, 634, 469, 328, 227)(163, 238, 342, 487, 646, 478, 335, 232)(166, 241, 347, 493, 660, 496, 348, 242)(169, 246, 354, 500, 573, 418, 353, 245)(173, 251, 361, 509, 675, 512, 362, 252)(178, 233, 336, 479, 583, 422, 371, 258)(183, 266, 381, 517, 683, 525, 374, 260)(186, 270, 387, 539, 701, 538, 386, 269)(191, 277, 397, 551, 710, 548, 394, 274)(193, 279, 400, 554, 714, 557, 401, 280)(196, 283, 406, 560, 720, 563, 407, 284)(199, 288, 413, 570, 730, 569, 412, 287)(200, 289, 414, 572, 732, 575, 415, 290)(211, 305, 437, 601, 758, 598, 434, 302)(214, 308, 442, 606, 764, 609, 443, 309)(221, 320, 457, 396, 550, 617, 450, 314)(224, 324, 463, 629, 717, 562, 462, 323)(225, 325, 464, 385, 537, 633, 465, 326)(230, 315, 451, 618, 726, 566, 474, 332)(236, 339, 484, 650, 766, 607, 444, 340)(239, 344, 490, 588, 748, 655, 489, 343)(240, 345, 491, 571, 718, 659, 492, 346)(248, 356, 504, 605, 441, 307, 440, 357)(255, 367, 518, 684, 826, 682, 515, 364)(257, 369, 521, 602, 760, 688, 522, 370)(261, 375, 526, 565, 725, 674, 508, 360)(264, 378, 531, 694, 833, 696, 532, 379)(267, 383, 535, 592, 429, 303, 435, 382)(275, 395, 549, 663, 810, 704, 542, 389)(278, 399, 553, 712, 846, 711, 552, 398)(282, 404, 558, 716, 849, 719, 559, 405)(293, 420, 580, 741, 867, 739, 578, 417)(296, 423, 584, 744, 869, 746, 585, 424)(306, 439, 604, 761, 713, 556, 603, 438)(312, 430, 593, 751, 706, 545, 613, 447)(318, 454, 623, 776, 871, 745, 586, 455)(321, 459, 627, 731, 657, 495, 626, 458)(329, 470, 373, 524, 690, 788, 636, 467)(331, 472, 639, 742, 705, 544, 640, 473)(334, 476, 643, 792, 901, 784, 644, 477)(337, 481, 591, 750, 873, 796, 648, 480)(338, 482, 610, 767, 888, 798, 649, 483)(349, 497, 664, 811, 925, 809, 662, 494)(352, 499, 579, 740, 700, 536, 631, 468)(355, 502, 608, 461, 628, 723, 669, 503)(365, 516, 599, 436, 600, 759, 676, 510)(368, 520, 686, 827, 906, 790, 685, 519)(376, 528, 612, 446, 611, 768, 692, 527)(377, 529, 589, 427, 574, 734, 693, 530)(390, 543, 581, 421, 582, 743, 703, 540)(393, 546, 707, 842, 944, 844, 708, 547)(402, 488, 654, 803, 918, 848, 715, 555)(408, 564, 724, 855, 951, 854, 722, 561)(411, 567, 727, 856, 952, 858, 728, 568)(433, 596, 756, 877, 954, 857, 729, 597)(449, 615, 771, 889, 817, 670, 505, 616)(452, 620, 733, 667, 814, 892, 774, 619)(453, 621, 747, 656, 797, 894, 775, 622)(471, 638, 789, 905, 829, 689, 523, 637)(475, 641, 791, 907, 948, 872, 749, 642)(485, 652, 801, 916, 953, 915, 800, 651)(498, 666, 813, 926, 828, 687, 812, 665)(501, 658, 804, 919, 822, 679, 815, 668)(507, 672, 819, 917, 821, 678, 820, 673)(511, 677, 802, 653, 785, 900, 782, 630)(514, 680, 823, 929, 950, 931, 824, 681)(533, 697, 721, 853, 949, 940, 835, 695)(577, 737, 865, 958, 946, 843, 709, 738)(594, 753, 850, 781, 899, 967, 875, 752)(595, 754, 859, 780, 893, 969, 876, 755)(614, 769, 671, 818, 928, 955, 860, 770)(624, 778, 897, 984, 945, 983, 896, 777)(632, 783, 898, 779, 885, 975, 883, 762)(635, 786, 902, 985, 947, 987, 903, 787)(645, 773, 891, 979, 998, 989, 908, 793)(647, 794, 909, 961, 999, 990, 910, 795)(661, 807, 923, 959, 866, 960, 911, 808)(691, 831, 935, 965, 870, 964, 934, 830)(698, 837, 941, 996, 927, 816, 852, 836)(699, 832, 936, 993, 922, 806, 921, 838)(702, 839, 942, 992, 920, 805, 851, 840)(735, 862, 847, 882, 974, 1000, 956, 861)(736, 863, 845, 881, 968, 1001, 957, 864)(757, 879, 972, 939, 834, 938, 971, 878)(763, 884, 973, 880, 963, 1003, 962, 868)(765, 886, 976, 932, 841, 943, 977, 887)(772, 874, 966, 1004, 991, 937, 978, 890)(799, 913, 970, 1006, 997, 930, 825, 914)(895, 981, 1002, 994, 924, 986, 904, 982)(912, 988, 933, 995, 1007, 1008, 1005, 980)
	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, 334)(234, 337)(235, 338)(237, 339)(238, 343)(242, 345)(243, 349)(244, 352)(246, 346)(247, 355)(249, 356)(250, 360)(252, 324)(253, 364)(254, 365)(256, 368)(258, 369)(259, 373)(262, 376)(263, 377)(265, 378)(266, 382)(268, 385)(271, 389)(272, 390)(273, 393)(276, 396)(277, 398)(280, 399)(281, 402)(284, 404)(285, 408)(286, 411)(288, 405)(291, 417)(292, 418)(294, 421)(295, 422)(297, 423)(298, 427)(299, 429)(300, 430)(301, 433)(304, 436)(305, 438)(309, 440)(310, 444)(311, 446)(313, 449)(316, 452)(317, 453)(319, 454)(320, 458)(322, 461)(326, 439)(327, 467)(328, 468)(330, 471)(332, 472)(333, 475)(335, 476)(336, 480)(340, 482)(341, 485)(342, 488)(344, 483)(347, 494)(348, 495)(350, 498)(351, 469)(353, 499)(354, 501)(357, 502)(358, 505)(359, 507)(361, 510)(362, 511)(363, 514)(366, 517)(367, 519)(370, 520)(371, 424)(372, 523)(374, 524)(375, 527)(379, 529)(380, 533)(381, 516)(383, 530)(384, 536)(386, 537)(387, 540)(388, 518)(391, 544)(392, 545)(394, 546)(395, 457)(397, 509)(400, 555)(401, 556)(403, 487)(406, 561)(407, 562)(409, 565)(410, 566)(412, 567)(413, 571)(414, 573)(415, 574)(416, 577)(419, 579)(420, 581)(425, 586)(426, 588)(428, 591)(431, 594)(432, 595)(434, 596)(435, 599)(437, 602)(441, 582)(442, 607)(443, 608)(445, 610)(447, 611)(448, 614)(450, 615)(451, 619)(455, 621)(456, 624)(459, 622)(460, 609)(462, 628)(463, 630)(464, 631)(465, 632)(466, 635)(470, 637)(473, 638)(474, 568)(477, 641)(478, 645)(479, 647)(481, 642)(484, 651)(486, 653)(489, 654)(490, 656)(491, 657)(492, 658)(493, 661)(496, 663)(497, 665)(500, 667)(503, 666)(504, 670)(506, 671)(508, 672)(512, 678)(513, 679)(515, 680)(521, 585)(522, 687)(525, 691)(526, 564)(528, 689)(531, 695)(532, 655)(534, 698)(535, 699)(538, 644)(539, 702)(541, 685)(542, 684)(543, 705)(547, 613)(548, 709)(549, 626)(550, 706)(551, 676)(552, 675)(553, 713)(554, 664)(557, 688)(558, 717)(559, 718)(560, 721)(563, 723)(569, 729)(570, 731)(572, 733)(575, 735)(576, 736)(578, 737)(580, 742)(583, 725)(584, 745)(587, 747)(589, 748)(590, 749)(592, 750)(593, 752)(597, 754)(598, 757)(600, 755)(601, 746)(603, 760)(604, 762)(605, 763)(606, 765)(612, 767)(616, 769)(617, 772)(618, 773)(620, 770)(623, 777)(625, 779)(627, 780)(629, 781)(633, 784)(634, 785)(636, 786)(639, 728)(640, 790)(643, 793)(646, 726)(648, 794)(649, 797)(650, 799)(652, 802)(659, 805)(660, 806)(662, 807)(668, 814)(669, 816)(673, 818)(674, 795)(677, 821)(681, 815)(682, 825)(683, 822)(686, 828)(690, 830)(692, 724)(693, 832)(694, 834)(696, 803)(697, 836)(700, 837)(701, 791)(703, 839)(704, 841)(707, 843)(708, 768)(710, 845)(711, 820)(712, 847)(714, 812)(715, 811)(716, 850)(719, 851)(720, 852)(722, 853)(727, 857)(730, 859)(732, 860)(734, 861)(738, 863)(739, 866)(740, 864)(741, 858)(743, 868)(744, 870)(751, 874)(753, 872)(756, 878)(758, 880)(759, 881)(761, 882)(764, 885)(766, 886)(771, 890)(774, 891)(775, 893)(776, 895)(778, 898)(782, 899)(783, 901)(787, 900)(788, 904)(789, 906)(792, 897)(796, 911)(798, 912)(800, 913)(801, 917)(804, 920)(808, 921)(809, 924)(810, 922)(813, 927)(817, 884)(819, 910)(823, 930)(824, 892)(826, 932)(827, 933)(829, 888)(831, 919)(833, 937)(835, 938)(838, 873)(840, 907)(842, 945)(844, 855)(846, 928)(848, 947)(849, 948)(854, 950)(856, 953)(862, 955)(865, 959)(867, 961)(869, 963)(871, 964)(875, 966)(876, 968)(877, 970)(879, 973)(883, 974)(887, 975)(889, 972)(894, 980)(896, 981)(902, 986)(903, 967)(905, 988)(908, 984)(909, 960)(914, 976)(915, 954)(916, 990)(918, 991)(923, 994)(925, 985)(926, 995)(929, 949)(931, 979)(934, 982)(935, 992)(936, 956)(939, 978)(940, 997)(941, 957)(942, 962)(943, 993)(944, 989)(946, 983)(951, 998)(952, 999)(958, 1002)(965, 1003)(969, 1005)(971, 1006)(977, 1000)(987, 1004)(996, 1007)(1001, 1008)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1765
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 126 e = 504 f = 336
	degree seq :: [ 8^126 ]

E22.1763 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -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^-2 * T2 * T1)^3, T1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1, T2 * T1^-4 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^4 ]
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, 255, 176, 119, 79)(53, 82, 123, 181, 262, 184, 124, 83)(64, 98, 146, 213, 291, 203, 139, 92)(67, 101, 151, 219, 313, 222, 152, 102)(70, 106, 158, 229, 324, 228, 157, 105)(71, 107, 159, 231, 327, 234, 160, 108)(76, 115, 170, 246, 344, 243, 167, 112)(81, 121, 179, 258, 360, 261, 180, 122)(86, 128, 189, 271, 376, 273, 190, 129)(93, 140, 204, 292, 390, 282, 197, 134)(96, 143, 209, 298, 412, 301, 210, 144)(99, 148, 216, 307, 421, 306, 215, 147)(100, 149, 217, 309, 424, 312, 218, 150)(113, 168, 214, 305, 419, 335, 237, 162)(116, 172, 249, 349, 470, 348, 248, 171)(118, 174, 252, 353, 476, 355, 253, 175)(125, 185, 266, 370, 493, 368, 264, 182)(127, 187, 269, 373, 498, 375, 270, 188)(132, 135, 198, 283, 391, 384, 278, 194)(138, 201, 288, 397, 527, 400, 289, 202)(141, 206, 295, 406, 536, 405, 294, 205)(142, 207, 296, 408, 539, 411, 297, 208)(153, 223, 293, 404, 534, 432, 315, 220)(156, 226, 322, 437, 362, 259, 183, 227)(163, 238, 336, 455, 583, 446, 329, 232)(166, 241, 341, 460, 600, 462, 342, 242)(169, 245, 345, 465, 550, 418, 304, 244)(173, 250, 351, 473, 613, 475, 352, 251)(178, 233, 330, 447, 541, 409, 300, 257)(186, 268, 372, 496, 639, 495, 371, 267)(191, 274, 379, 505, 648, 504, 378, 272)(193, 276, 382, 508, 652, 510, 383, 277)(196, 280, 387, 513, 659, 516, 388, 281)(199, 285, 394, 521, 667, 520, 393, 284)(200, 286, 395, 523, 669, 526, 396, 287)(211, 302, 392, 519, 665, 547, 414, 299)(221, 316, 247, 347, 468, 559, 426, 310)(224, 319, 435, 569, 680, 533, 403, 318)(225, 320, 265, 369, 494, 572, 436, 321)(230, 311, 427, 560, 671, 524, 399, 326)(236, 333, 452, 589, 666, 592, 453, 334)(239, 338, 457, 595, 744, 594, 456, 337)(240, 339, 458, 597, 747, 599, 459, 340)(254, 356, 479, 620, 660, 619, 478, 354)(256, 358, 415, 548, 697, 624, 482, 359)(260, 363, 486, 629, 739, 591, 472, 350)(263, 366, 491, 633, 661, 514, 389, 367)(275, 381, 507, 650, 783, 649, 506, 380)(279, 385, 511, 655, 788, 658, 512, 386)(290, 401, 377, 503, 646, 677, 529, 398)(303, 417, 549, 698, 796, 664, 518, 416)(308, 410, 542, 689, 790, 656, 515, 423)(314, 430, 565, 714, 647, 716, 566, 431)(317, 434, 568, 718, 607, 467, 346, 433)(323, 439, 575, 726, 653, 725, 574, 438)(325, 441, 530, 678, 806, 730, 578, 442)(328, 444, 581, 733, 849, 735, 582, 445)(331, 449, 586, 736, 804, 674, 585, 448)(332, 450, 587, 738, 852, 741, 588, 451)(343, 463, 584, 676, 528, 675, 602, 461)(357, 481, 622, 764, 800, 670, 621, 480)(361, 484, 627, 681, 535, 682, 628, 485)(364, 488, 631, 771, 877, 770, 630, 487)(365, 489, 517, 663, 795, 774, 632, 490)(374, 500, 522, 657, 791, 769, 641, 497)(402, 532, 679, 807, 760, 614, 502, 531)(407, 525, 672, 801, 785, 651, 509, 538)(413, 545, 694, 634, 492, 635, 695, 546)(420, 552, 702, 643, 499, 617, 701, 551)(422, 554, 662, 794, 895, 827, 705, 555)(425, 557, 708, 636, 743, 831, 709, 558)(428, 562, 711, 832, 894, 793, 710, 561)(429, 563, 712, 638, 776, 835, 713, 564)(440, 577, 728, 842, 892, 789, 727, 576)(443, 579, 731, 845, 937, 848, 732, 580)(454, 593, 477, 618, 763, 819, 696, 590)(464, 604, 751, 815, 688, 540, 687, 603)(466, 598, 748, 859, 939, 846, 734, 606)(469, 609, 755, 818, 693, 544, 692, 608)(471, 611, 742, 797, 898, 868, 758, 612)(474, 615, 737, 847, 923, 830, 721, 570)(483, 625, 767, 792, 893, 876, 768, 626)(501, 645, 782, 885, 899, 798, 668, 644)(537, 684, 654, 787, 890, 909, 812, 685)(543, 691, 817, 913, 889, 786, 816, 690)(553, 704, 825, 919, 888, 784, 824, 703)(556, 706, 828, 922, 974, 925, 829, 707)(567, 717, 573, 724, 601, 750, 805, 715)(571, 722, 833, 924, 969, 912, 822, 699)(596, 740, 853, 904, 873, 765, 623, 746)(605, 752, 850, 940, 979, 947, 863, 753)(610, 757, 866, 948, 978, 938, 865, 756)(616, 762, 871, 908, 966, 903, 851, 761)(637, 773, 879, 929, 975, 949, 867, 775)(640, 778, 810, 683, 811, 907, 883, 779)(642, 780, 802, 673, 803, 902, 884, 781)(686, 813, 910, 968, 992, 971, 911, 814)(700, 823, 914, 970, 951, 872, 905, 808)(719, 834, 928, 880, 935, 843, 729, 837)(720, 838, 926, 855, 944, 886, 932, 839)(723, 841, 933, 962, 988, 959, 927, 840)(745, 856, 766, 874, 921, 973, 945, 857)(749, 861, 920, 826, 916, 820, 915, 860)(754, 864, 772, 875, 918, 821, 917, 862)(759, 869, 942, 854, 943, 981, 950, 870)(777, 882, 955, 984, 997, 982, 954, 881)(799, 900, 963, 989, 1001, 991, 964, 901)(809, 906, 965, 990, 976, 934, 960, 896)(836, 930, 844, 936, 967, 953, 878, 931)(858, 897, 961, 952, 983, 993, 972, 946)(887, 956, 985, 998, 1004, 996, 980, 941)(891, 957, 986, 999, 1005, 1000, 987, 958)(977, 995, 1003, 1007, 1008, 1006, 1002, 994)
	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, 244)(170, 247)(175, 250)(176, 254)(177, 256)(179, 259)(180, 260)(181, 263)(184, 265)(185, 267)(188, 268)(189, 272)(190, 253)(192, 275)(194, 276)(195, 279)(197, 280)(198, 284)(202, 286)(203, 290)(204, 293)(206, 287)(209, 299)(210, 300)(212, 303)(213, 304)(215, 305)(216, 308)(217, 310)(218, 311)(219, 314)(222, 317)(223, 318)(227, 320)(228, 323)(229, 325)(231, 328)(234, 331)(235, 332)(237, 333)(238, 337)(242, 339)(243, 343)(245, 340)(246, 346)(248, 347)(249, 350)(251, 319)(252, 354)(255, 357)(257, 358)(258, 361)(261, 364)(262, 365)(264, 366)(266, 336)(269, 355)(270, 374)(271, 377)(273, 351)(274, 380)(277, 381)(278, 342)(281, 385)(282, 389)(283, 392)(285, 386)(288, 398)(289, 399)(291, 402)(292, 403)(294, 404)(295, 407)(296, 409)(297, 410)(298, 413)(301, 415)(302, 416)(306, 420)(307, 422)(309, 425)(312, 428)(313, 429)(315, 430)(316, 433)(321, 417)(322, 438)(324, 440)(326, 441)(327, 443)(329, 444)(330, 448)(334, 450)(335, 454)(338, 451)(341, 461)(344, 464)(345, 466)(348, 469)(349, 471)(352, 474)(353, 477)(356, 480)(359, 481)(360, 483)(362, 484)(363, 487)(367, 489)(368, 492)(369, 490)(370, 456)(371, 455)(372, 497)(373, 499)(375, 501)(376, 502)(378, 503)(379, 486)(382, 462)(383, 509)(384, 458)(387, 514)(388, 515)(390, 517)(391, 518)(393, 519)(394, 522)(395, 524)(396, 525)(397, 528)(400, 530)(401, 531)(405, 535)(406, 537)(408, 540)(411, 543)(412, 544)(414, 545)(418, 532)(419, 551)(421, 553)(423, 554)(424, 556)(426, 557)(427, 561)(431, 563)(432, 567)(434, 564)(435, 570)(436, 571)(437, 573)(439, 576)(442, 577)(445, 579)(446, 566)(447, 584)(449, 580)(452, 590)(453, 591)(457, 596)(459, 598)(460, 601)(463, 603)(465, 605)(467, 604)(468, 608)(470, 610)(472, 611)(473, 614)(475, 616)(476, 617)(478, 618)(479, 560)(482, 623)(485, 625)(488, 626)(491, 634)(493, 636)(494, 637)(495, 638)(496, 640)(498, 642)(500, 644)(504, 647)(505, 630)(506, 629)(507, 651)(508, 653)(510, 654)(511, 656)(512, 657)(513, 660)(516, 662)(520, 666)(521, 668)(523, 670)(526, 673)(527, 674)(529, 675)(533, 663)(534, 681)(536, 683)(538, 684)(539, 686)(541, 687)(542, 690)(546, 692)(547, 696)(548, 693)(549, 699)(550, 700)(552, 703)(555, 704)(558, 706)(559, 695)(562, 707)(565, 715)(568, 719)(569, 720)(572, 723)(574, 724)(575, 689)(578, 729)(581, 716)(582, 734)(583, 712)(585, 676)(586, 737)(587, 739)(588, 740)(589, 665)(592, 742)(593, 701)(594, 743)(595, 745)(597, 664)(599, 749)(600, 725)(602, 750)(606, 752)(607, 754)(609, 756)(612, 757)(613, 759)(615, 761)(619, 661)(620, 710)(621, 671)(622, 765)(624, 766)(627, 717)(628, 769)(631, 772)(632, 773)(633, 763)(635, 708)(639, 777)(641, 778)(643, 780)(645, 781)(646, 714)(648, 733)(649, 738)(650, 784)(652, 786)(655, 789)(658, 792)(659, 793)(667, 797)(669, 799)(672, 802)(677, 805)(678, 804)(679, 808)(680, 809)(682, 810)(685, 811)(688, 813)(691, 814)(694, 819)(697, 820)(698, 821)(702, 801)(705, 826)(709, 830)(711, 833)(713, 834)(718, 836)(721, 838)(722, 840)(726, 816)(727, 790)(728, 843)(730, 844)(731, 846)(732, 847)(735, 850)(736, 851)(741, 854)(744, 855)(746, 856)(747, 858)(748, 860)(751, 862)(753, 823)(755, 859)(758, 867)(760, 869)(762, 870)(764, 872)(767, 791)(768, 875)(770, 849)(771, 878)(774, 880)(775, 841)(776, 881)(779, 882)(782, 886)(783, 887)(785, 824)(787, 889)(788, 891)(794, 894)(795, 896)(796, 897)(798, 898)(800, 900)(803, 901)(806, 903)(807, 904)(812, 908)(815, 912)(817, 914)(818, 915)(822, 917)(825, 920)(827, 921)(828, 923)(829, 924)(831, 926)(832, 927)(835, 929)(837, 930)(839, 906)(842, 934)(845, 938)(848, 922)(852, 941)(853, 942)(857, 944)(861, 946)(863, 913)(864, 931)(865, 939)(866, 949)(868, 933)(871, 907)(873, 905)(874, 916)(876, 952)(877, 940)(879, 928)(883, 950)(884, 932)(885, 945)(888, 956)(890, 947)(892, 957)(893, 958)(895, 959)(899, 962)(902, 965)(909, 967)(910, 969)(911, 970)(918, 961)(919, 972)(925, 968)(935, 960)(936, 966)(937, 977)(943, 980)(948, 982)(951, 963)(953, 979)(954, 975)(955, 981)(964, 990)(971, 989)(973, 988)(974, 994)(976, 986)(978, 995)(983, 987)(984, 996)(985, 993)(991, 999)(992, 1002)(997, 1003)(998, 1000)(1001, 1006)(1004, 1007)(1005, 1008)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1764
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 126 e = 504 f = 336
	degree seq :: [ 8^126 ]

E22.1764 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^8, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1)^3, (T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2 ]
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, 427, 826)(218, 314, 614)(219, 299, 586)(220, 378, 399)(221, 409, 725)(222, 431, 223)(224, 434, 836)(225, 435, 634)(226, 437, 482)(227, 439, 461)(228, 273, 511)(229, 441, 842)(230, 442, 844)(231, 375, 620)(232, 347, 698)(233, 302, 478)(234, 446, 850)(235, 448, 236)(237, 451, 472)(238, 452, 555)(239, 454, 509)(240, 456, 857)(241, 293, 569)(263, 481, 484)(264, 485, 487)(265, 488, 420)(266, 490, 493)(267, 494, 477)(268, 496, 411)(269, 498, 501)(270, 502, 469)(271, 504, 507)(272, 508, 510)(274, 513, 516)(275, 517, 519)(276, 520, 522)(277, 523, 525)(278, 526, 529)(279, 530, 532)(280, 533, 535)(281, 536, 538)(282, 453, 541)(283, 542, 545)(284, 546, 396)(285, 548, 551)(286, 430, 552)(287, 553, 556)(288, 557, 560)(289, 561, 370)(290, 563, 402)(291, 565, 567)(292, 421, 404)(294, 393, 573)(295, 574, 577)(296, 363, 579)(297, 580, 582)(298, 583, 585)(300, 588, 463)(301, 590, 592)(303, 593, 426)(304, 350, 597)(305, 598, 601)(306, 390, 603)(307, 604, 606)(308, 607, 610)(309, 611, 337)(310, 613, 587)(311, 616, 618)(312, 619, 622)(313, 384, 374)(315, 366, 625)(316, 626, 628)(317, 629, 631)(318, 632, 635)(319, 636, 354)(320, 576, 547)(321, 639, 641)(322, 571, 644)(323, 595, 646)(324, 647, 649)(325, 333, 651)(326, 652, 655)(327, 447, 657)(328, 658, 660)(329, 358, 341)(330, 436, 662)(331, 663, 665)(332, 666, 669)(334, 600, 562)(335, 672, 674)(336, 675, 677)(338, 679, 682)(339, 683, 686)(340, 687, 689)(342, 690, 691)(343, 692, 694)(344, 640, 380)(345, 550, 531)(346, 693, 697)(348, 539, 701)(349, 413, 704)(351, 654, 612)(352, 707, 709)(353, 710, 450)(355, 713, 716)(356, 717, 720)(357, 721, 723)(359, 724, 726)(360, 727, 729)(361, 673, 415)(362, 728, 731)(364, 554, 734)(365, 471, 737)(367, 681, 637)(368, 740, 742)(369, 743, 745)(371, 747, 749)(372, 459, 470)(373, 752, 754)(376, 755, 756)(377, 757, 758)(379, 760, 392)(381, 763, 766)(382, 767, 418)(383, 419, 476)(385, 771, 772)(386, 773, 775)(387, 617, 473)(388, 534, 518)(389, 664, 778)(391, 527, 781)(394, 715, 670)(395, 786, 788)(397, 790, 792)(398, 412, 460)(400, 467, 661)(401, 795, 796)(403, 549, 799)(405, 524, 668)(406, 642, 414)(407, 492, 486)(408, 801, 802)(410, 804, 805)(416, 810, 813)(417, 814, 475)(422, 684, 528)(423, 818, 819)(424, 820, 822)(425, 823, 825)(428, 708, 829)(429, 774, 830)(432, 581, 832)(433, 833, 835)(438, 748, 695)(440, 840, 841)(443, 584, 847)(444, 566, 543)(445, 627, 849)(449, 514, 736)(455, 765, 705)(457, 741, 859)(458, 860, 862)(462, 865, 866)(464, 521, 869)(465, 537, 609)(466, 483, 491)(468, 872, 873)(474, 877, 879)(479, 718, 540)(480, 881, 882)(489, 499, 783)(495, 505, 703)(497, 793, 500)(503, 863, 506)(512, 750, 515)(544, 568, 559)(558, 808, 591)(564, 605, 890)(570, 768, 572)(575, 913, 578)(589, 630, 886)(594, 815, 596)(599, 923, 602)(608, 884, 645)(615, 659, 895)(621, 633, 885)(623, 851, 624)(638, 688, 854)(643, 667, 883)(648, 945, 650)(653, 946, 656)(671, 722, 905)(676, 955, 678)(680, 834, 685)(696, 753, 784)(699, 910, 759)(700, 702, 864)(706, 770, 915)(711, 971, 712)(714, 941, 719)(730, 800, 791)(732, 921, 806)(733, 735, 751)(738, 777, 812)(739, 817, 925)(744, 984, 746)(761, 989, 762)(764, 965, 769)(776, 870, 861)(779, 992, 874)(780, 782, 794)(785, 880, 912)(787, 934, 821)(789, 824, 996)(797, 932, 896)(798, 922, 837)(803, 954, 964)(807, 1000, 809)(811, 979, 816)(827, 918, 1002)(828, 976, 1001)(831, 944, 993)(838, 848, 1004)(839, 973, 948)(843, 903, 986)(845, 963, 1006)(846, 995, 972)(852, 878, 970)(853, 897, 983)(855, 938, 914)(856, 974, 904)(858, 951, 1005)(867, 942, 901)(868, 930, 894)(871, 931, 978)(875, 990, 876)(887, 953, 924)(888, 988, 957)(889, 928, 935)(891, 999, 949)(892, 969, 947)(893, 991, 950)(898, 982, 956)(899, 962, 958)(900, 940, 911)(902, 994, 926)(906, 968, 936)(907, 998, 987)(908, 933, 966)(909, 977, 985)(916, 917, 981)(919, 943, 980)(920, 967, 997)(927, 952, 937)(929, 1007, 959)(939, 1003, 975)(960, 961, 1008)
	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, 396)(195, 398)(196, 400)(197, 290)(198, 402)(199, 403)(200, 405)(201, 407)(202, 409)(203, 411)(204, 376)(205, 291)(206, 414)(207, 296)(208, 374)(209, 418)(210, 265)(211, 420)(212, 375)(213, 422)(214, 388)(215, 424)(216, 426)(242, 370)(243, 459)(244, 461)(245, 300)(246, 463)(247, 464)(248, 465)(249, 466)(250, 467)(251, 469)(252, 408)(253, 301)(254, 472)(255, 306)(256, 404)(257, 475)(258, 267)(259, 477)(260, 406)(261, 479)(262, 345)(263, 482)(264, 486)(266, 491)(268, 497)(269, 499)(270, 503)(271, 505)(272, 509)(273, 512)(274, 514)(275, 518)(276, 521)(277, 524)(278, 527)(279, 531)(280, 434)(281, 537)(282, 539)(283, 543)(284, 547)(285, 549)(286, 435)(287, 554)(288, 558)(289, 562)(292, 568)(293, 570)(294, 571)(295, 575)(297, 581)(298, 584)(299, 587)(302, 544)(303, 594)(304, 595)(305, 599)(307, 605)(308, 608)(309, 612)(310, 614)(311, 617)(312, 620)(313, 559)(314, 623)(315, 619)(316, 627)(317, 630)(318, 633)(319, 637)(320, 569)(321, 640)(322, 642)(323, 451)(324, 648)(325, 590)(326, 653)(327, 452)(328, 659)(329, 609)(330, 588)(331, 664)(332, 667)(333, 670)(334, 593)(335, 673)(336, 676)(337, 442)(338, 680)(339, 684)(340, 688)(341, 634)(342, 431)(343, 693)(344, 695)(346, 636)(347, 622)(348, 699)(349, 702)(350, 705)(351, 647)(352, 708)(353, 711)(354, 565)(355, 714)(356, 718)(357, 722)(358, 668)(359, 563)(360, 728)(361, 730)(362, 651)(363, 644)(364, 732)(365, 735)(366, 738)(367, 675)(368, 741)(369, 744)(371, 733)(372, 750)(373, 753)(377, 639)(378, 495)(379, 761)(380, 533)(381, 764)(382, 768)(383, 770)(384, 703)(385, 613)(386, 774)(387, 776)(389, 611)(390, 646)(391, 779)(392, 782)(393, 784)(394, 710)(395, 787)(397, 780)(399, 793)(401, 765)(410, 672)(412, 449)(413, 807)(415, 548)(416, 811)(417, 815)(419, 817)(421, 736)(423, 576)(425, 824)(427, 532)(428, 828)(429, 597)(430, 701)(432, 831)(433, 834)(436, 838)(437, 720)(438, 743)(439, 484)(440, 786)(441, 843)(443, 846)(444, 511)(445, 561)(446, 851)(447, 592)(448, 794)(450, 802)(453, 854)(454, 855)(455, 760)(456, 510)(457, 858)(458, 700)(460, 863)(462, 812)(468, 616)(470, 489)(471, 875)(473, 520)(474, 878)(476, 880)(478, 783)(480, 600)(481, 883)(483, 686)(485, 884)(487, 725)(488, 864)(490, 885)(492, 657)(493, 661)(494, 751)(496, 808)(498, 886)(500, 603)(501, 624)(502, 847)(504, 832)(506, 698)(507, 572)(508, 685)(513, 890)(515, 579)(516, 596)(517, 719)(519, 820)(522, 850)(523, 734)(525, 540)(526, 895)(528, 552)(529, 650)(530, 656)(534, 887)(535, 767)(536, 781)(538, 555)(541, 678)(542, 769)(545, 903)(546, 602)(550, 889)(551, 814)(553, 905)(556, 712)(557, 816)(560, 907)(564, 908)(566, 892)(567, 717)(573, 746)(574, 829)(577, 914)(578, 586)(580, 915)(582, 762)(583, 852)(585, 918)(589, 919)(591, 898)(598, 859)(601, 924)(604, 925)(606, 809)(607, 899)(610, 929)(615, 901)(618, 790)(621, 920)(625, 789)(626, 934)(628, 935)(629, 912)(631, 876)(632, 904)(635, 939)(638, 835)(641, 860)(643, 845)(645, 909)(649, 842)(652, 788)(654, 911)(655, 947)(658, 948)(660, 950)(662, 825)(663, 951)(665, 819)(666, 893)(669, 848)(671, 896)(674, 747)(677, 756)(679, 709)(681, 922)(682, 956)(683, 844)(687, 839)(689, 958)(690, 959)(691, 745)(692, 961)(694, 882)(696, 737)(697, 963)(704, 777)(706, 865)(707, 803)(713, 742)(715, 930)(716, 972)(721, 973)(723, 974)(724, 975)(726, 775)(727, 976)(729, 772)(731, 977)(739, 752)(740, 871)(748, 813)(749, 985)(754, 979)(755, 987)(757, 957)(758, 940)(759, 857)(763, 841)(766, 861)(771, 990)(773, 800)(778, 967)(785, 795)(791, 879)(792, 997)(796, 970)(797, 941)(798, 805)(799, 921)(801, 827)(804, 949)(806, 822)(810, 964)(818, 989)(821, 960)(823, 870)(826, 874)(830, 982)(833, 1003)(836, 910)(837, 962)(840, 916)(849, 943)(853, 872)(856, 894)(862, 1006)(866, 965)(867, 946)(868, 873)(869, 992)(877, 978)(881, 1000)(888, 994)(891, 968)(897, 981)(900, 991)(902, 952)(906, 927)(913, 944)(917, 937)(923, 933)(926, 954)(928, 971)(931, 936)(932, 1004)(938, 945)(942, 1007)(953, 955)(966, 998)(969, 984)(980, 1002)(983, 1001)(986, 993)(988, 1005)(995, 996)(999, 1008)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E22.1763
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 336 e = 504 f = 126
	degree seq :: [ 3^336 ]

E22.1765 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^8, (T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 75)(76, 105, 106)(77, 107, 108)(78, 109, 110)(79, 111, 112)(80, 113, 114)(81, 115, 116)(82, 117, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(118, 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, 440, 753)(218, 442, 756)(219, 444, 464)(220, 445, 578)(221, 328, 614)(222, 448, 223)(224, 324, 609)(225, 452, 767)(226, 454, 475)(227, 455, 724)(228, 457, 776)(229, 264, 513)(230, 460, 781)(231, 462, 784)(232, 463, 320)(233, 465, 689)(234, 334, 621)(235, 468, 236)(237, 330, 617)(238, 472, 791)(239, 474, 338)(240, 476, 796)(241, 478, 799)(263, 511, 494)(265, 515, 439)(266, 459, 419)(267, 518, 380)(268, 379, 521)(269, 522, 394)(270, 350, 524)(271, 525, 342)(272, 527, 368)(273, 361, 529)(274, 530, 362)(275, 532, 333)(276, 317, 534)(277, 341, 536)(278, 537, 326)(279, 539, 348)(280, 336, 541)(281, 310, 543)(282, 544, 388)(283, 546, 314)(284, 547, 301)(285, 549, 386)(286, 305, 551)(287, 322, 553)(288, 554, 423)(289, 556, 294)(290, 557, 313)(291, 559, 418)(292, 357, 562)(293, 298, 564)(295, 354, 567)(296, 568, 497)(297, 570, 302)(299, 572, 493)(300, 375, 575)(303, 372, 579)(304, 580, 582)(306, 583, 332)(307, 435, 586)(308, 498, 588)(309, 589, 327)(311, 591, 413)(312, 401, 593)(315, 398, 597)(316, 467, 599)(318, 600, 347)(319, 509, 603)(321, 605, 343)(323, 607, 488)(325, 451, 501)(329, 447, 616)(331, 471, 619)(335, 623, 625)(337, 626, 367)(339, 424, 630)(340, 631, 363)(344, 635, 407)(345, 637, 638)(346, 639, 432)(349, 642, 427)(351, 644, 385)(352, 646, 648)(353, 649, 381)(355, 651, 604)(356, 636, 654)(358, 655, 393)(359, 657, 659)(360, 660, 389)(364, 663, 482)(365, 653, 506)(366, 647, 666)(369, 668, 415)(370, 670, 671)(371, 613, 406)(373, 673, 629)(374, 664, 675)(376, 677, 436)(377, 679, 681)(378, 682, 426)(382, 686, 687)(383, 688, 690)(384, 487, 412)(387, 692, 694)(390, 502, 428)(391, 624, 698)(392, 602, 641)(395, 701, 490)(396, 703, 704)(397, 634, 481)(399, 706, 587)(400, 615, 708)(402, 709, 510)(403, 711, 713)(404, 714, 500)(405, 715, 596)(408, 717, 718)(409, 719, 411)(410, 721, 723)(414, 725, 727)(416, 728, 470)(417, 730, 731)(420, 732, 734)(421, 561, 736)(422, 737, 738)(425, 740, 722)(429, 684, 430)(431, 581, 743)(433, 628, 667)(434, 744, 746)(437, 748, 750)(438, 751, 752)(441, 754, 699)(443, 758, 759)(446, 577, 761)(449, 763, 658)(450, 696, 765)(453, 768, 770)(456, 773, 775)(458, 778, 779)(461, 782, 594)(466, 685, 787)(469, 789, 569)(473, 792, 794)(477, 797, 747)(479, 800, 801)(480, 802, 566)(483, 804, 805)(484, 806, 486)(485, 774, 809)(489, 810, 812)(491, 813, 691)(492, 815, 816)(495, 817, 819)(496, 574, 821)(499, 823, 808)(503, 700, 504)(505, 598, 826)(507, 585, 620)(508, 757, 828)(512, 831, 833)(514, 835, 837)(516, 716, 839)(517, 840, 790)(519, 803, 843)(520, 844, 707)(523, 847, 652)(526, 850, 852)(528, 854, 674)(531, 857, 859)(533, 861, 608)(535, 863, 764)(538, 867, 869)(540, 871, 610)(542, 873, 875)(545, 741, 878)(548, 881, 883)(550, 884, 592)(552, 886, 888)(555, 824, 772)(558, 890, 892)(560, 595, 893)(563, 735, 894)(565, 896, 573)(571, 900, 902)(576, 820, 903)(584, 906, 908)(590, 910, 912)(601, 916, 917)(606, 918, 920)(611, 923, 618)(612, 925, 927)(622, 931, 640)(627, 934, 907)(632, 936, 937)(633, 771, 795)(643, 783, 665)(645, 742, 733)(650, 940, 941)(656, 944, 891)(661, 947, 948)(662, 949, 929)(669, 825, 818)(672, 762, 945)(676, 954, 879)(678, 942, 901)(680, 720, 956)(683, 958, 959)(693, 702, 697)(695, 962, 904)(705, 964, 955)(710, 952, 882)(712, 807, 965)(726, 895, 946)(729, 788, 899)(739, 943, 914)(745, 951, 972)(749, 897, 829)(755, 966, 975)(760, 978, 973)(766, 980, 860)(769, 921, 911)(777, 856, 983)(780, 984, 985)(785, 986, 865)(786, 987, 988)(793, 950, 868)(798, 989, 990)(811, 880, 957)(814, 960, 877)(822, 953, 898)(827, 963, 976)(830, 994, 995)(832, 872, 874)(834, 996, 977)(836, 885, 887)(838, 969, 997)(841, 862, 864)(842, 993, 998)(845, 848, 855)(846, 961, 999)(849, 1001, 992)(851, 924, 926)(853, 939, 1002)(858, 932, 938)(866, 981, 968)(870, 930, 1005)(876, 935, 970)(889, 909, 979)(905, 933, 915)(913, 928, 991)(919, 967, 922)(971, 1008, 1000)(974, 1003, 982)(1004, 1006, 1007)
	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, 366)(195, 405)(196, 407)(197, 409)(198, 411)(199, 413)(200, 414)(201, 329)(202, 416)(203, 417)(204, 419)(205, 421)(206, 422)(207, 424)(208, 425)(209, 427)(210, 429)(211, 430)(212, 432)(213, 434)(214, 435)(215, 437)(216, 438)(242, 331)(243, 480)(244, 482)(245, 484)(246, 486)(247, 488)(248, 489)(249, 345)(250, 491)(251, 492)(252, 494)(253, 496)(254, 450)(255, 498)(256, 499)(257, 501)(258, 503)(259, 504)(260, 506)(261, 508)(262, 509)(263, 512)(264, 514)(265, 516)(266, 517)(267, 519)(268, 520)(269, 466)(270, 523)(271, 526)(272, 397)(273, 528)(274, 531)(275, 353)(276, 533)(277, 535)(278, 538)(279, 371)(280, 540)(281, 542)(282, 545)(283, 321)(284, 548)(285, 446)(286, 550)(287, 552)(288, 555)(289, 340)(290, 558)(291, 560)(292, 561)(293, 563)(294, 565)(295, 566)(296, 569)(297, 309)(298, 571)(299, 573)(300, 574)(301, 576)(302, 577)(303, 578)(304, 581)(305, 360)(306, 584)(307, 585)(308, 587)(310, 590)(311, 592)(312, 460)(313, 594)(314, 595)(315, 596)(316, 598)(317, 378)(318, 601)(319, 602)(320, 604)(322, 606)(323, 608)(324, 610)(325, 611)(326, 612)(327, 613)(328, 615)(330, 618)(332, 490)(333, 620)(334, 622)(335, 624)(336, 404)(337, 627)(338, 628)(339, 629)(341, 632)(342, 633)(343, 634)(344, 636)(346, 640)(347, 385)(348, 641)(349, 643)(350, 458)(351, 645)(352, 647)(354, 650)(355, 652)(356, 653)(357, 479)(358, 656)(359, 658)(361, 661)(362, 662)(363, 649)(364, 664)(365, 665)(367, 415)(368, 667)(369, 669)(370, 471)(372, 672)(373, 674)(374, 617)(375, 676)(376, 678)(377, 680)(379, 683)(380, 684)(381, 685)(382, 623)(383, 689)(384, 691)(386, 666)(387, 693)(388, 695)(389, 605)(390, 696)(391, 697)(392, 440)(393, 699)(394, 700)(395, 702)(396, 444)(398, 705)(399, 707)(400, 639)(401, 443)(402, 710)(403, 712)(406, 716)(408, 580)(410, 722)(412, 724)(418, 619)(420, 733)(423, 739)(426, 631)(428, 462)(431, 742)(433, 476)(436, 747)(439, 468)(441, 755)(442, 687)(445, 760)(447, 734)(448, 521)(449, 764)(451, 766)(452, 657)(453, 769)(454, 694)(455, 771)(456, 774)(457, 777)(459, 780)(461, 783)(463, 785)(464, 493)(465, 786)(467, 483)(469, 790)(470, 487)(472, 568)(473, 793)(474, 575)(475, 795)(477, 798)(478, 718)(481, 803)(485, 808)(495, 818)(497, 822)(500, 589)(502, 737)(505, 825)(507, 748)(510, 829)(511, 830)(513, 834)(515, 838)(518, 842)(522, 846)(524, 719)(525, 849)(527, 853)(529, 806)(530, 856)(532, 860)(534, 704)(536, 865)(537, 866)(539, 870)(541, 648)(543, 876)(544, 744)(546, 879)(547, 880)(549, 816)(551, 671)(553, 889)(554, 757)(556, 759)(557, 768)(559, 776)(562, 603)(564, 895)(567, 898)(570, 801)(572, 731)(579, 904)(582, 905)(583, 677)(586, 593)(588, 909)(591, 913)(597, 914)(599, 915)(600, 709)(607, 921)(609, 922)(614, 928)(616, 929)(621, 930)(625, 933)(626, 655)(630, 935)(635, 911)(637, 819)(638, 927)(642, 939)(644, 792)(646, 799)(651, 942)(654, 943)(659, 946)(660, 779)(663, 919)(668, 951)(670, 752)(673, 952)(675, 953)(679, 725)(681, 957)(682, 948)(686, 901)(688, 729)(690, 903)(692, 961)(698, 796)(701, 963)(703, 756)(706, 944)(708, 962)(711, 810)(713, 770)(714, 959)(715, 966)(717, 882)(720, 875)(721, 814)(723, 782)(726, 967)(727, 836)(728, 949)(730, 968)(732, 969)(735, 923)(736, 863)(738, 970)(740, 971)(741, 833)(743, 750)(745, 924)(746, 858)(749, 973)(751, 805)(753, 826)(754, 974)(758, 977)(761, 831)(762, 917)(763, 950)(765, 979)(767, 832)(772, 916)(773, 978)(775, 981)(778, 937)(781, 886)(784, 986)(787, 850)(788, 975)(789, 934)(791, 851)(794, 887)(797, 987)(800, 985)(802, 989)(804, 891)(807, 888)(809, 894)(811, 991)(812, 841)(813, 925)(815, 992)(817, 993)(820, 931)(821, 873)(823, 982)(824, 837)(827, 932)(828, 868)(835, 893)(839, 857)(840, 896)(843, 867)(844, 884)(845, 988)(847, 861)(848, 1000)(852, 881)(854, 871)(855, 1003)(859, 890)(862, 1004)(864, 972)(869, 900)(872, 1006)(874, 976)(877, 983)(878, 906)(883, 910)(885, 1007)(892, 918)(897, 1008)(899, 1001)(902, 936)(907, 964)(908, 940)(912, 947)(920, 958)(926, 956)(938, 965)(941, 984)(945, 994)(954, 995)(955, 996)(960, 990)(980, 997)(998, 1005)(999, 1002)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E22.1762
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 336 e = 504 f = 126
	degree seq :: [ 3^336 ]

E22.1766 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^3, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2)^2 ]
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, 389, 317)(195, 391, 772)(196, 392, 428)(197, 394, 535)(198, 396, 485)(199, 398, 200)(201, 401, 710)(202, 403, 664)(203, 405, 787)(204, 406, 457)(205, 407, 790)(206, 408, 550)(207, 410, 284)(208, 412, 795)(209, 413, 328)(210, 415, 610)(211, 417, 491)(212, 419, 213)(214, 422, 350)(215, 424, 560)(216, 426, 814)(217, 427, 347)(218, 429, 818)(263, 483, 484)(264, 486, 488)(265, 489, 490)(266, 492, 494)(267, 496, 498)(268, 499, 501)(269, 503, 505)(270, 447, 507)(271, 509, 511)(272, 513, 515)(273, 443, 517)(274, 519, 521)(275, 504, 524)(276, 475, 525)(277, 523, 527)(278, 497, 530)(279, 531, 532)(280, 529, 534)(281, 470, 536)(282, 537, 538)(283, 540, 542)(285, 545, 546)(286, 548, 549)(287, 551, 552)(288, 554, 556)(289, 558, 559)(290, 500, 562)(291, 564, 565)(292, 561, 567)(293, 487, 570)(294, 571, 572)(295, 569, 574)(296, 506, 576)(297, 578, 579)(298, 575, 580)(299, 445, 583)(300, 584, 585)(301, 582, 587)(302, 588, 589)(303, 590, 591)(304, 593, 595)(305, 597, 598)(306, 599, 600)(307, 602, 603)(308, 605, 607)(309, 608, 609)(310, 459, 611)(311, 612, 613)(312, 614, 616)(313, 618, 619)(314, 620, 621)(315, 623, 624)(316, 626, 628)(318, 630, 631)(319, 633, 634)(320, 416, 635)(321, 472, 547)(322, 638, 390)(323, 637, 641)(324, 433, 642)(325, 421, 400)(326, 645, 646)(327, 643, 647)(329, 649, 651)(330, 437, 653)(331, 383, 655)(332, 493, 476)(333, 658, 372)(334, 657, 661)(335, 662, 663)(336, 386, 377)(337, 667, 668)(338, 665, 669)(339, 463, 671)(340, 672, 666)(341, 478, 674)(342, 676, 677)(343, 639, 543)(344, 679, 680)(345, 682, 409)(346, 684, 686)(348, 688, 689)(349, 690, 692)(351, 694, 695)(352, 393, 516)(353, 697, 698)(354, 700, 701)(355, 703, 705)(356, 454, 563)(357, 708, 644)(358, 434, 711)(359, 712, 713)(360, 659, 456)(361, 715, 716)(362, 718, 380)(363, 721, 675)(364, 723, 725)(365, 726, 728)(366, 730, 731)(367, 373, 510)(368, 733, 734)(369, 736, 737)(370, 739, 741)(371, 719, 577)(374, 747, 381)(375, 746, 749)(376, 750, 751)(378, 754, 755)(379, 753, 756)(382, 514, 448)(384, 759, 762)(385, 763, 764)(387, 767, 768)(388, 766, 740)(395, 780, 411)(397, 777, 781)(399, 482, 783)(402, 758, 785)(404, 441, 786)(414, 520, 508)(418, 799, 804)(420, 807, 808)(423, 811, 812)(425, 810, 704)(430, 460, 760)(431, 467, 495)(432, 821, 822)(435, 824, 825)(436, 826, 820)(438, 830, 752)(439, 832, 693)(440, 656, 833)(442, 834, 836)(444, 838, 709)(446, 841, 842)(449, 776, 845)(450, 846, 847)(451, 848, 568)(452, 850, 851)(453, 852, 798)(455, 829, 632)(458, 855, 856)(461, 858, 859)(462, 860, 854)(464, 863, 765)(465, 722, 617)(466, 745, 864)(468, 865, 601)(469, 866, 868)(471, 869, 743)(473, 541, 512)(474, 871, 872)(477, 778, 875)(479, 878, 879)(480, 880, 528)(481, 882, 883)(502, 771, 724)(518, 813, 555)(522, 817, 835)(526, 925, 867)(533, 927, 928)(539, 896, 594)(544, 900, 606)(553, 905, 615)(557, 908, 627)(566, 943, 944)(573, 945, 946)(581, 789, 915)(586, 951, 952)(592, 921, 673)(596, 801, 685)(604, 904, 691)(622, 805, 972)(625, 895, 727)(629, 742, 802)(636, 884, 903)(640, 940, 981)(648, 890, 920)(650, 957, 986)(652, 792, 924)(654, 964, 827)(660, 932, 782)(670, 970, 806)(678, 989, 837)(681, 909, 991)(683, 899, 839)(687, 853, 974)(696, 995, 775)(699, 923, 969)(702, 887, 870)(706, 707, 947)(714, 1000, 911)(717, 901, 1001)(720, 843, 955)(729, 779, 994)(732, 1002, 936)(735, 922, 956)(738, 885, 965)(744, 941, 861)(748, 935, 982)(757, 987, 910)(761, 919, 966)(769, 892, 971)(770, 933, 985)(773, 992, 976)(774, 990, 815)(784, 849, 891)(788, 926, 963)(791, 958, 881)(793, 983, 902)(794, 916, 929)(796, 978, 934)(797, 1005, 862)(800, 907, 809)(803, 914, 953)(816, 917, 950)(819, 997, 993)(823, 988, 913)(828, 888, 1004)(831, 873, 962)(840, 980, 968)(844, 999, 949)(857, 1003, 893)(874, 1008, 959)(876, 984, 918)(877, 906, 939)(886, 996, 942)(889, 998, 948)(894, 960, 1006)(897, 931, 979)(898, 975, 977)(912, 937, 1007)(930, 973, 967)(938, 961, 954)(1009, 1010)(1011, 1015)(1012, 1016)(1013, 1017)(1014, 1018)(1019, 1027)(1020, 1028)(1021, 1029)(1022, 1030)(1023, 1031)(1024, 1032)(1025, 1033)(1026, 1034)(1035, 1051)(1036, 1052)(1037, 1053)(1038, 1054)(1039, 1055)(1040, 1056)(1041, 1057)(1042, 1058)(1043, 1059)(1044, 1060)(1045, 1061)(1046, 1062)(1047, 1063)(1048, 1064)(1049, 1065)(1050, 1066)(1067, 1098)(1068, 1099)(1069, 1100)(1070, 1101)(1071, 1102)(1072, 1103)(1073, 1104)(1074, 1105)(1075, 1106)(1076, 1107)(1077, 1108)(1078, 1109)(1079, 1110)(1080, 1111)(1081, 1112)(1082, 1083)(1084, 1113)(1085, 1114)(1086, 1115)(1087, 1116)(1088, 1117)(1089, 1118)(1090, 1119)(1091, 1120)(1092, 1121)(1093, 1122)(1094, 1123)(1095, 1124)(1096, 1125)(1097, 1126)(1127, 1177)(1128, 1178)(1129, 1179)(1130, 1180)(1131, 1181)(1132, 1182)(1133, 1183)(1134, 1184)(1135, 1185)(1136, 1186)(1137, 1187)(1138, 1188)(1139, 1189)(1140, 1190)(1141, 1191)(1142, 1192)(1143, 1193)(1144, 1194)(1145, 1195)(1146, 1196)(1147, 1197)(1148, 1198)(1149, 1199)(1150, 1200)(1151, 1201)(1152, 1202)(1153, 1203)(1154, 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1544)(1392, 1769)(1393, 1646)(1394, 1773)(1395, 1624)(1398, 1778)(1399, 1779)(1401, 1784)(1402, 1786)(1403, 1519)(1405, 1482)(1406, 1761)(1407, 1579)(1408, 1485)(1409, 1517)(1410, 1736)(1411, 1495)(1415, 1797)(1416, 1727)(1417, 1801)(1419, 1762)(1423, 1808)(1424, 1557)(1425, 1732)(1426, 1811)(1427, 1813)(1428, 1666)(1429, 1817)(1430, 1556)(1431, 1603)(1432, 1501)(1434, 1821)(1436, 1824)(1437, 1825)(1438, 1828)(1440, 1713)(1443, 1535)(1445, 1836)(1447, 1839)(1454, 1848)(1457, 1618)(1458, 1796)(1460, 1857)(1463, 1861)(1464, 1862)(1466, 1636)(1469, 1513)(1471, 1870)(1473, 1816)(1487, 1885)(1489, 1889)(1491, 1892)(1492, 1882)(1494, 1841)(1496, 1896)(1497, 1898)(1498, 1740)(1500, 1868)(1502, 1704)(1504, 1872)(1505, 1838)(1506, 1805)(1507, 1795)(1508, 1871)(1509, 1909)(1511, 1853)(1512, 1883)(1514, 1915)(1515, 1917)(1518, 1856)(1521, 1834)(1522, 1888)(1523, 1686)(1524, 1923)(1527, 1925)(1528, 1843)(1529, 1722)(1531, 1742)(1533, 1931)(1537, 1706)(1539, 1822)(1540, 1930)(1542, 1782)(1543, 1911)(1545, 1933)(1546, 1771)(1548, 1939)(1549, 1875)(1550, 1831)(1551, 1928)(1553, 1941)(1554, 1865)(1559, 1935)(1560, 1815)(1562, 1947)(1563, 1936)(1564, 1884)(1566, 1949)(1567, 1792)(1569, 1629)(1572, 1806)(1573, 1934)(1575, 1894)(1577, 1688)(1580, 1914)(1582, 1900)(1583, 1608)(1586, 1957)(1587, 1849)(1588, 1897)(1590, 1724)(1593, 1905)(1595, 1902)(1596, 1803)(1597, 1651)(1598, 1951)(1599, 1963)(1601, 1964)(1602, 1952)(1605, 1793)(1606, 1966)(1607, 1682)(1610, 1953)(1611, 1970)(1613, 1971)(1614, 1954)(1615, 1804)(1616, 1972)(1617, 1973)(1619, 1673)(1620, 1842)(1621, 1847)(1622, 1977)(1623, 1844)(1626, 1763)(1627, 1858)(1628, 1719)(1631, 1959)(1632, 1983)(1634, 1850)(1635, 1960)(1637, 1958)(1638, 1874)(1639, 1878)(1641, 1967)(1642, 1879)(1643, 1906)(1645, 1833)(1647, 1741)(1649, 1920)(1650, 1774)(1653, 1944)(1654, 1738)(1655, 1910)(1657, 1867)(1659, 1922)(1661, 1943)(1663, 1881)(1665, 1823)(1667, 1705)(1669, 1924)(1670, 1780)(1671, 1818)(1675, 1783)(1676, 1702)(1677, 1918)(1679, 1927)(1680, 1980)(1681, 1876)(1684, 1776)(1685, 1890)(1687, 1768)(1690, 1948)(1692, 1880)(1693, 1989)(1695, 1987)(1696, 1731)(1697, 1735)(1698, 1999)(1699, 1733)(1703, 1747)(1708, 1965)(1709, 2006)(1711, 1739)(1712, 1994)(1714, 1993)(1716, 1873)(1717, 1835)(1720, 1820)(1721, 2005)(1723, 1810)(1726, 1940)(1729, 1990)(1730, 1790)(1734, 2009)(1744, 1978)(1745, 2004)(1748, 1814)(1749, 1781)(1751, 1869)(1754, 1950)(1755, 1851)(1757, 1937)(1758, 1826)(1759, 1916)(1764, 1932)(1767, 1777)(1770, 1802)(1772, 1809)(1775, 1845)(1785, 1956)(1787, 1985)(1788, 1907)(1789, 1945)(1791, 1908)(1794, 1837)(1798, 1852)(1799, 2011)(1800, 1886)(1807, 2014)(1812, 2015)(1819, 1919)(1827, 1859)(1829, 1942)(1830, 1981)(1832, 1982)(1840, 1974)(1846, 2012)(1854, 1995)(1855, 1979)(1860, 1904)(1863, 1926)(1864, 2000)(1866, 1955)(1877, 2013)(1887, 1998)(1891, 1938)(1893, 2008)(1895, 1997)(1899, 1996)(1901, 1992)(1903, 2003)(1912, 2010)(1913, 2007)(1921, 1986)(1929, 2016)(1946, 2001)(1961, 2002)(1962, 1975)(1968, 1976)(1969, 1984)(1988, 1991)
	L = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 1108)(101, 1109)(102, 1110)(103, 1111)(104, 1112)(105, 1113)(106, 1114)(107, 1115)(108, 1116)(109, 1117)(110, 1118)(111, 1119)(112, 1120)(113, 1121)(114, 1122)(115, 1123)(116, 1124)(117, 1125)(118, 1126)(119, 1127)(120, 1128)(121, 1129)(122, 1130)(123, 1131)(124, 1132)(125, 1133)(126, 1134)(127, 1135)(128, 1136)(129, 1137)(130, 1138)(131, 1139)(132, 1140)(133, 1141)(134, 1142)(135, 1143)(136, 1144)(137, 1145)(138, 1146)(139, 1147)(140, 1148)(141, 1149)(142, 1150)(143, 1151)(144, 1152)(145, 1153)(146, 1154)(147, 1155)(148, 1156)(149, 1157)(150, 1158)(151, 1159)(152, 1160)(153, 1161)(154, 1162)(155, 1163)(156, 1164)(157, 1165)(158, 1166)(159, 1167)(160, 1168)(161, 1169)(162, 1170)(163, 1171)(164, 1172)(165, 1173)(166, 1174)(167, 1175)(168, 1176)(169, 1177)(170, 1178)(171, 1179)(172, 1180)(173, 1181)(174, 1182)(175, 1183)(176, 1184)(177, 1185)(178, 1186)(179, 1187)(180, 1188)(181, 1189)(182, 1190)(183, 1191)(184, 1192)(185, 1193)(186, 1194)(187, 1195)(188, 1196)(189, 1197)(190, 1198)(191, 1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 1290)(283, 1291)(284, 1292)(285, 1293)(286, 1294)(287, 1295)(288, 1296)(289, 1297)(290, 1298)(291, 1299)(292, 1300)(293, 1301)(294, 1302)(295, 1303)(296, 1304)(297, 1305)(298, 1306)(299, 1307)(300, 1308)(301, 1309)(302, 1310)(303, 1311)(304, 1312)(305, 1313)(306, 1314)(307, 1315)(308, 1316)(309, 1317)(310, 1318)(311, 1319)(312, 1320)(313, 1321)(314, 1322)(315, 1323)(316, 1324)(317, 1325)(318, 1326)(319, 1327)(320, 1328)(321, 1329)(322, 1330)(323, 1331)(324, 1332)(325, 1333)(326, 1334)(327, 1335)(328, 1336)(329, 1337)(330, 1338)(331, 1339)(332, 1340)(333, 1341)(334, 1342)(335, 1343)(336, 1344)(337, 1345)(338, 1346)(339, 1347)(340, 1348)(341, 1349)(342, 1350)(343, 1351)(344, 1352)(345, 1353)(346, 1354)(347, 1355)(348, 1356)(349, 1357)(350, 1358)(351, 1359)(352, 1360)(353, 1361)(354, 1362)(355, 1363)(356, 1364)(357, 1365)(358, 1366)(359, 1367)(360, 1368)(361, 1369)(362, 1370)(363, 1371)(364, 1372)(365, 1373)(366, 1374)(367, 1375)(368, 1376)(369, 1377)(370, 1378)(371, 1379)(372, 1380)(373, 1381)(374, 1382)(375, 1383)(376, 1384)(377, 1385)(378, 1386)(379, 1387)(380, 1388)(381, 1389)(382, 1390)(383, 1391)(384, 1392)(385, 1393)(386, 1394)(387, 1395)(388, 1396)(389, 1397)(390, 1398)(391, 1399)(392, 1400)(393, 1401)(394, 1402)(395, 1403)(396, 1404)(397, 1405)(398, 1406)(399, 1407)(400, 1408)(401, 1409)(402, 1410)(403, 1411)(404, 1412)(405, 1413)(406, 1414)(407, 1415)(408, 1416)(409, 1417)(410, 1418)(411, 1419)(412, 1420)(413, 1421)(414, 1422)(415, 1423)(416, 1424)(417, 1425)(418, 1426)(419, 1427)(420, 1428)(421, 1429)(422, 1430)(423, 1431)(424, 1432)(425, 1433)(426, 1434)(427, 1435)(428, 1436)(429, 1437)(430, 1438)(431, 1439)(432, 1440)(433, 1441)(434, 1442)(435, 1443)(436, 1444)(437, 1445)(438, 1446)(439, 1447)(440, 1448)(441, 1449)(442, 1450)(443, 1451)(444, 1452)(445, 1453)(446, 1454)(447, 1455)(448, 1456)(449, 1457)(450, 1458)(451, 1459)(452, 1460)(453, 1461)(454, 1462)(455, 1463)(456, 1464)(457, 1465)(458, 1466)(459, 1467)(460, 1468)(461, 1469)(462, 1470)(463, 1471)(464, 1472)(465, 1473)(466, 1474)(467, 1475)(468, 1476)(469, 1477)(470, 1478)(471, 1479)(472, 1480)(473, 1481)(474, 1482)(475, 1483)(476, 1484)(477, 1485)(478, 1486)(479, 1487)(480, 1488)(481, 1489)(482, 1490)(483, 1491)(484, 1492)(485, 1493)(486, 1494)(487, 1495)(488, 1496)(489, 1497)(490, 1498)(491, 1499)(492, 1500)(493, 1501)(494, 1502)(495, 1503)(496, 1504)(497, 1505)(498, 1506)(499, 1507)(500, 1508)(501, 1509)(502, 1510)(503, 1511)(504, 1512)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E22.1775
Transitivity :: ET+
Graph:: simple bipartite
	v = 840 e = 1008 f = 126
	degree seq :: [ 2^504, 3^336 ]

E22.1767 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 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, 276, 545)(195, 403, 823)(196, 405, 337)(197, 407, 333)(198, 409, 830)(199, 410, 200)(201, 412, 764)(202, 318, 659)(203, 415, 700)(204, 325, 676)(205, 418, 840)(206, 420, 574)(207, 266, 515)(208, 359, 749)(209, 424, 414)(210, 426, 408)(211, 427, 851)(212, 334, 213)(214, 429, 848)(215, 323, 670)(216, 431, 835)(217, 286, 577)(218, 434, 860)(263, 506, 453)(264, 442, 510)(265, 512, 489)(267, 504, 519)(268, 478, 522)(269, 372, 525)(270, 527, 529)(271, 355, 532)(272, 383, 534)(273, 469, 537)(274, 367, 539)(275, 541, 543)(277, 547, 432)(278, 364, 551)(279, 553, 555)(280, 322, 558)(281, 560, 399)(282, 380, 564)(283, 566, 568)(284, 313, 571)(285, 573, 575)(287, 358, 579)(288, 581, 583)(289, 584, 309)(290, 586, 587)(291, 375, 589)(292, 591, 593)(293, 594, 301)(294, 597, 348)(295, 462, 601)(296, 544, 604)(297, 317, 607)(298, 609, 390)(299, 497, 613)(300, 576, 616)(302, 618, 338)(303, 621, 623)(304, 436, 626)(305, 328, 628)(306, 596, 416)(307, 474, 633)(308, 498, 496)(310, 638, 639)(311, 449, 642)(312, 644, 646)(314, 649, 650)(315, 485, 653)(316, 655, 657)(319, 662, 663)(320, 664, 665)(321, 667, 669)(324, 673, 674)(326, 678, 491)(327, 680, 446)(329, 684, 686)(330, 472, 689)(331, 335, 691)(332, 608, 693)(336, 699, 630)(339, 559, 705)(340, 438, 708)(341, 463, 461)(342, 712, 714)(343, 514, 717)(344, 346, 467)(345, 629, 720)(347, 723, 610)(349, 546, 726)(350, 728, 730)(351, 675, 733)(352, 735, 736)(353, 707, 737)(354, 739, 741)(356, 742, 466)(357, 745, 746)(360, 751, 482)(361, 754, 755)(362, 632, 727)(363, 757, 759)(365, 760, 501)(366, 423, 428)(368, 763, 455)(369, 766, 767)(370, 729, 769)(371, 770, 772)(373, 773, 775)(374, 777, 761)(376, 779, 781)(377, 782, 738)(378, 612, 706)(379, 785, 787)(381, 753, 788)(382, 395, 397)(384, 790, 791)(385, 505, 771)(386, 388, 502)(387, 692, 796)(389, 798, 561)(391, 552, 801)(392, 802, 804)(393, 747, 806)(394, 511, 808)(396, 704, 811)(398, 814, 598)(400, 526, 786)(401, 817, 819)(402, 508, 740)(404, 411, 826)(406, 719, 828)(413, 834, 548)(417, 565, 799)(419, 499, 842)(421, 778, 843)(422, 517, 845)(425, 725, 850)(430, 856, 619)(433, 520, 758)(435, 861, 862)(437, 803, 864)(439, 640, 765)(440, 867, 868)(441, 869, 443)(444, 870, 679)(445, 872, 874)(447, 878, 672)(448, 671, 622)(450, 880, 881)(451, 569, 582)(452, 883, 884)(454, 885, 756)(456, 886, 875)(457, 563, 631)(458, 852, 865)(459, 535, 890)(460, 774, 713)(464, 891, 893)(465, 661, 895)(468, 715, 896)(470, 897, 898)(471, 899, 901)(473, 818, 825)(475, 651, 789)(476, 836, 903)(477, 844, 479)(480, 889, 750)(481, 906, 907)(483, 909, 744)(484, 743, 685)(486, 911, 912)(487, 605, 542)(488, 914, 916)(490, 917, 666)(492, 841, 908)(493, 600, 694)(494, 921, 784)(495, 873, 732)(500, 734, 822)(503, 792, 866)(507, 711, 809)(509, 683, 846)(513, 731, 718)(516, 805, 794)(518, 709, 690)(521, 698, 915)(523, 668, 636)(524, 620, 780)(528, 722, 933)(530, 645, 617)(531, 599, 752)(533, 634, 703)(536, 695, 627)(538, 614, 724)(540, 942, 838)(549, 656, 570)(550, 611, 660)(554, 813, 918)(556, 592, 606)(557, 562, 681)(567, 855, 952)(572, 955, 937)(578, 602, 815)(580, 961, 939)(585, 965, 920)(588, 624, 858)(590, 966, 944)(595, 969, 970)(603, 972, 951)(615, 977, 973)(625, 971, 948)(635, 984, 980)(637, 982, 783)(641, 687, 949)(643, 853, 957)(647, 988, 967)(648, 829, 888)(652, 701, 934)(654, 989, 963)(658, 991, 987)(677, 762, 748)(682, 892, 986)(688, 976, 932)(696, 997, 995)(697, 922, 990)(702, 833, 946)(710, 857, 998)(716, 983, 929)(721, 1000, 994)(768, 820, 981)(776, 795, 871)(793, 996, 931)(797, 1006, 1003)(800, 894, 887)(807, 847, 926)(810, 905, 877)(812, 1002, 992)(816, 923, 919)(821, 913, 910)(824, 900, 904)(827, 902, 985)(831, 999, 1005)(832, 1008, 1004)(837, 854, 958)(839, 947, 954)(849, 962, 928)(859, 979, 863)(876, 882, 879)(924, 1001, 943)(925, 945, 938)(927, 1007, 956)(930, 964, 936)(935, 968, 940)(941, 960, 993)(950, 975, 959)(953, 978, 974)(1009, 1010)(1011, 1015)(1012, 1016)(1013, 1017)(1014, 1018)(1019, 1027)(1020, 1028)(1021, 1029)(1022, 1030)(1023, 1031)(1024, 1032)(1025, 1033)(1026, 1034)(1035, 1051)(1036, 1052)(1037, 1053)(1038, 1054)(1039, 1055)(1040, 1056)(1041, 1057)(1042, 1058)(1043, 1059)(1044, 1060)(1045, 1061)(1046, 1062)(1047, 1063)(1048, 1064)(1049, 1065)(1050, 1066)(1067, 1098)(1068, 1099)(1069, 1100)(1070, 1101)(1071, 1102)(1072, 1103)(1073, 1104)(1074, 1105)(1075, 1106)(1076, 1107)(1077, 1108)(1078, 1109)(1079, 1110)(1080, 1111)(1081, 1112)(1082, 1083)(1084, 1113)(1085, 1114)(1086, 1115)(1087, 1116)(1088, 1117)(1089, 1118)(1090, 1119)(1091, 1120)(1092, 1121)(1093, 1122)(1094, 1123)(1095, 1124)(1096, 1125)(1097, 1126)(1127, 1177)(1128, 1178)(1129, 1179)(1130, 1180)(1131, 1181)(1132, 1182)(1133, 1183)(1134, 1184)(1135, 1185)(1136, 1186)(1137, 1187)(1138, 1188)(1139, 1189)(1140, 1190)(1141, 1191)(1142, 1192)(1143, 1193)(1144, 1194)(1145, 1195)(1146, 1196)(1147, 1197)(1148, 1198)(1149, 1199)(1150, 1200)(1151, 1201)(1152, 1202)(1153, 1203)(1154, 1204)(1155, 1205)(1156, 1206)(1157, 1207)(1158, 1208)(1159, 1209)(1160, 1210)(1161, 1211)(1162, 1212)(1163, 1213)(1164, 1214)(1165, 1215)(1166, 1216)(1167, 1217)(1168, 1218)(1169, 1219)(1170, 1220)(1171, 1221)(1172, 1222)(1173, 1223)(1174, 1224)(1175, 1225)(1176, 1226)(1227, 1444)(1228, 1446)(1229, 1447)(1230, 1449)(1231, 1451)(1232, 1452)(1233, 1454)(1234, 1456)(1235, 1295)(1236, 1458)(1237, 1459)(1238, 1461)(1239, 1463)(1240, 1464)(1241, 1466)(1242, 1467)(1243, 1469)(1244, 1471)(1245, 1472)(1246, 1474)(1247, 1476)(1248, 1317)(1249, 1479)(1250, 1480)(1251, 1482)(1252, 1483)(1253, 1485)(1254, 1487)(1255, 1488)(1256, 1490)(1257, 1492)(1258, 1282)(1259, 1494)(1260, 1495)(1261, 1497)(1262, 1499)(1263, 1500)(1264, 1502)(1265, 1430)(1266, 1504)(1267, 1506)(1268, 1507)(1269, 1509)(1270, 1511)(1271, 1513)(1272, 1516)(1273, 1519)(1274, 1522)(1275, 1525)(1276, 1528)(1277, 1531)(1278, 1534)(1279, 1538)(1280, 1435)(1281, 1543)(1283, 1548)(1284, 1552)(1285, 1554)(1286, 1557)(1287, 1560)(1288, 1564)(1289, 1567)(1290, 1570)(1291, 1573)(1292, 1577)(1293, 1580)(1294, 1584)(1296, 1588)(1297, 1574)(1298, 1593)(1299, 1417)(1300, 1598)(1301, 1561)(1302, 1604)(1303, 1607)(1304, 1610)(1305, 1613)(1306, 1616)(1307, 1619)(1308, 1622)(1309, 1428)(1310, 1617)(1311, 1628)(1312, 1632)(1313, 1635)(1314, 1637)(1315, 1639)(1316, 1642)(1318, 1645)(1319, 1648)(1320, 1651)(1321, 1535)(1322, 1656)(1323, 1659)(1324, 1662)(1325, 1555)(1326, 1603)(1327, 1669)(1328, 1508)(1329, 1674)(1330, 1486)(1331, 1445)(1332, 1680)(1333, 1683)(1334, 1685)(1335, 1655)(1336, 1568)(1337, 1691)(1338, 1695)(1339, 1698)(1340, 1700)(1341, 1702)(1342, 1703)(1343, 1605)(1344, 1706)(1345, 1709)(1346, 1711)(1347, 1712)(1348, 1714)(1349, 1717)(1350, 1719)(1351, 1723)(1352, 1726)(1353, 1727)(1354, 1626)(1355, 1730)(1356, 1732)(1357, 1733)(1358, 1735)(1359, 1739)(1360, 1742)(1361, 1389)(1362, 1746)(1363, 1380)(1364, 1481)(1365, 1752)(1366, 1755)(1367, 1756)(1368, 1666)(1369, 1761)(1370, 1473)(1371, 1764)(1372, 1450)(1373, 1378)(1374, 1769)(1375, 1720)(1376, 1770)(1377, 1773)(1379, 1763)(1381, 1524)(1382, 1784)(1383, 1786)(1384, 1690)(1385, 1768)(1386, 1791)(1387, 1792)(1388, 1514)(1390, 1754)(1391, 1692)(1392, 1797)(1393, 1800)(1394, 1802)(1395, 1803)(1396, 1636)(1397, 1421)(1398, 1807)(1399, 1808)(1400, 1673)(1401, 1813)(1402, 1439)(1403, 1817)(1404, 1818)(1405, 1699)(1406, 1821)(1407, 1823)(1408, 1824)(1409, 1745)(1410, 1828)(1411, 1830)(1412, 1833)(1413, 1835)(1414, 1491)(1415, 1665)(1416, 1468)(1418, 1614)(1419, 1615)(1420, 1518)(1422, 1844)(1423, 1846)(1424, 1809)(1425, 1847)(1426, 1783)(1427, 1650)(1429, 1826)(1431, 1854)(1432, 1855)(1433, 1857)(1434, 1789)(1436, 1475)(1437, 1527)(1438, 1863)(1440, 1866)(1441, 1867)(1442, 1796)(1443, 1777)(1448, 1671)(1453, 1515)(1455, 1885)(1457, 1887)(1460, 1705)(1462, 1678)(1465, 1896)(1470, 1520)(1477, 1707)(1478, 1838)(1484, 1744)(1489, 1521)(1493, 1918)(1496, 1627)(1498, 1750)(1501, 1928)(1503, 1873)(1505, 1523)(1510, 1682)(1512, 1629)(1517, 1710)(1526, 1845)(1529, 1633)(1530, 1878)(1532, 1696)(1533, 1897)(1536, 1611)(1537, 1942)(1539, 1724)(1540, 1911)(1541, 1944)(1542, 1899)(1544, 1946)(1545, 1850)(1546, 1948)(1547, 1949)(1549, 1731)(1550, 1951)(1551, 1812)(1553, 1736)(1556, 1623)(1558, 1801)(1559, 1780)(1562, 1575)(1563, 1957)(1565, 1815)(1566, 1876)(1569, 1643)(1571, 1829)(1572, 1749)(1576, 1904)(1578, 1852)(1579, 1912)(1581, 1806)(1582, 1964)(1583, 1827)(1585, 1810)(1586, 1967)(1587, 1968)(1589, 1822)(1590, 1970)(1591, 1738)(1592, 1825)(1594, 1842)(1595, 1870)(1596, 1920)(1597, 1901)(1599, 1864)(1600, 1913)(1601, 1716)(1602, 1869)(1606, 1704)(1608, 1851)(1609, 1767)(1612, 1874)(1618, 1718)(1620, 1884)(1621, 1677)(1624, 1843)(1625, 1877)(1630, 1814)(1631, 1795)(1634, 1989)(1638, 1740)(1640, 1986)(1641, 1654)(1644, 1993)(1646, 1926)(1647, 1832)(1649, 1848)(1652, 1994)(1653, 1836)(1657, 1941)(1658, 1834)(1660, 1889)(1661, 1856)(1663, 1998)(1664, 1879)(1667, 2000)(1668, 1886)(1670, 1960)(1672, 1961)(1675, 1995)(1676, 1804)(1679, 1945)(1681, 1923)(1684, 2001)(1686, 1939)(1687, 1906)(1688, 2002)(1689, 1917)(1693, 1722)(1694, 1721)(1697, 1987)(1701, 1794)(1708, 1741)(1713, 1734)(1715, 1982)(1725, 1931)(1728, 1766)(1729, 1839)(1737, 1890)(1743, 1959)(1747, 1978)(1748, 1819)(1751, 1947)(1753, 1788)(1757, 1934)(1758, 1775)(1759, 2011)(1760, 1785)(1762, 1981)(1765, 1975)(1771, 1937)(1772, 1799)(1774, 1956)(1776, 1868)(1778, 1883)(1779, 1858)(1781, 1861)(1782, 1952)(1787, 2012)(1790, 1988)(1793, 1971)(1798, 1940)(1805, 2007)(1811, 1921)(1816, 1902)(1820, 2013)(1831, 1910)(1837, 1936)(1840, 1891)(1841, 1996)(1849, 2004)(1853, 1955)(1859, 1958)(1860, 1892)(1862, 1969)(1865, 2010)(1871, 1909)(1872, 1908)(1875, 1916)(1880, 1997)(1881, 1965)(1882, 1888)(1893, 2003)(1894, 1991)(1895, 2009)(1898, 1943)(1900, 1980)(1903, 1907)(1905, 1954)(1914, 1974)(1915, 1919)(1922, 2016)(1924, 1929)(1925, 2006)(1927, 2015)(1930, 1985)(1932, 1973)(1933, 1963)(1935, 1990)(1938, 1950)(1953, 1962)(1966, 1983)(1972, 1976)(1977, 1984)(1979, 1999)(1992, 2008)(2005, 2014)
	L = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 1108)(101, 1109)(102, 1110)(103, 1111)(104, 1112)(105, 1113)(106, 1114)(107, 1115)(108, 1116)(109, 1117)(110, 1118)(111, 1119)(112, 1120)(113, 1121)(114, 1122)(115, 1123)(116, 1124)(117, 1125)(118, 1126)(119, 1127)(120, 1128)(121, 1129)(122, 1130)(123, 1131)(124, 1132)(125, 1133)(126, 1134)(127, 1135)(128, 1136)(129, 1137)(130, 1138)(131, 1139)(132, 1140)(133, 1141)(134, 1142)(135, 1143)(136, 1144)(137, 1145)(138, 1146)(139, 1147)(140, 1148)(141, 1149)(142, 1150)(143, 1151)(144, 1152)(145, 1153)(146, 1154)(147, 1155)(148, 1156)(149, 1157)(150, 1158)(151, 1159)(152, 1160)(153, 1161)(154, 1162)(155, 1163)(156, 1164)(157, 1165)(158, 1166)(159, 1167)(160, 1168)(161, 1169)(162, 1170)(163, 1171)(164, 1172)(165, 1173)(166, 1174)(167, 1175)(168, 1176)(169, 1177)(170, 1178)(171, 1179)(172, 1180)(173, 1181)(174, 1182)(175, 1183)(176, 1184)(177, 1185)(178, 1186)(179, 1187)(180, 1188)(181, 1189)(182, 1190)(183, 1191)(184, 1192)(185, 1193)(186, 1194)(187, 1195)(188, 1196)(189, 1197)(190, 1198)(191, 1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 1290)(283, 1291)(284, 1292)(285, 1293)(286, 1294)(287, 1295)(288, 1296)(289, 1297)(290, 1298)(291, 1299)(292, 1300)(293, 1301)(294, 1302)(295, 1303)(296, 1304)(297, 1305)(298, 1306)(299, 1307)(300, 1308)(301, 1309)(302, 1310)(303, 1311)(304, 1312)(305, 1313)(306, 1314)(307, 1315)(308, 1316)(309, 1317)(310, 1318)(311, 1319)(312, 1320)(313, 1321)(314, 1322)(315, 1323)(316, 1324)(317, 1325)(318, 1326)(319, 1327)(320, 1328)(321, 1329)(322, 1330)(323, 1331)(324, 1332)(325, 1333)(326, 1334)(327, 1335)(328, 1336)(329, 1337)(330, 1338)(331, 1339)(332, 1340)(333, 1341)(334, 1342)(335, 1343)(336, 1344)(337, 1345)(338, 1346)(339, 1347)(340, 1348)(341, 1349)(342, 1350)(343, 1351)(344, 1352)(345, 1353)(346, 1354)(347, 1355)(348, 1356)(349, 1357)(350, 1358)(351, 1359)(352, 1360)(353, 1361)(354, 1362)(355, 1363)(356, 1364)(357, 1365)(358, 1366)(359, 1367)(360, 1368)(361, 1369)(362, 1370)(363, 1371)(364, 1372)(365, 1373)(366, 1374)(367, 1375)(368, 1376)(369, 1377)(370, 1378)(371, 1379)(372, 1380)(373, 1381)(374, 1382)(375, 1383)(376, 1384)(377, 1385)(378, 1386)(379, 1387)(380, 1388)(381, 1389)(382, 1390)(383, 1391)(384, 1392)(385, 1393)(386, 1394)(387, 1395)(388, 1396)(389, 1397)(390, 1398)(391, 1399)(392, 1400)(393, 1401)(394, 1402)(395, 1403)(396, 1404)(397, 1405)(398, 1406)(399, 1407)(400, 1408)(401, 1409)(402, 1410)(403, 1411)(404, 1412)(405, 1413)(406, 1414)(407, 1415)(408, 1416)(409, 1417)(410, 1418)(411, 1419)(412, 1420)(413, 1421)(414, 1422)(415, 1423)(416, 1424)(417, 1425)(418, 1426)(419, 1427)(420, 1428)(421, 1429)(422, 1430)(423, 1431)(424, 1432)(425, 1433)(426, 1434)(427, 1435)(428, 1436)(429, 1437)(430, 1438)(431, 1439)(432, 1440)(433, 1441)(434, 1442)(435, 1443)(436, 1444)(437, 1445)(438, 1446)(439, 1447)(440, 1448)(441, 1449)(442, 1450)(443, 1451)(444, 1452)(445, 1453)(446, 1454)(447, 1455)(448, 1456)(449, 1457)(450, 1458)(451, 1459)(452, 1460)(453, 1461)(454, 1462)(455, 1463)(456, 1464)(457, 1465)(458, 1466)(459, 1467)(460, 1468)(461, 1469)(462, 1470)(463, 1471)(464, 1472)(465, 1473)(466, 1474)(467, 1475)(468, 1476)(469, 1477)(470, 1478)(471, 1479)(472, 1480)(473, 1481)(474, 1482)(475, 1483)(476, 1484)(477, 1485)(478, 1486)(479, 1487)(480, 1488)(481, 1489)(482, 1490)(483, 1491)(484, 1492)(485, 1493)(486, 1494)(487, 1495)(488, 1496)(489, 1497)(490, 1498)(491, 1499)(492, 1500)(493, 1501)(494, 1502)(495, 1503)(496, 1504)(497, 1505)(498, 1506)(499, 1507)(500, 1508)(501, 1509)(502, 1510)(503, 1511)(504, 1512)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E22.1774
Transitivity :: ET+
Graph:: simple bipartite
	v = 840 e = 1008 f = 126
	degree seq :: [ 2^504, 3^336 ]

E22.1768 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^8, (T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-3)^2, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * 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, 267, 173, 111, 70)(47, 65, 104, 163, 251, 193, 125, 79)(50, 83, 130, 201, 304, 199, 128, 81)(56, 82, 129, 200, 305, 222, 144, 91)(59, 94, 149, 230, 345, 233, 150, 95)(61, 97, 152, 235, 354, 238, 153, 98)(69, 110, 171, 262, 391, 260, 169, 108)(71, 112, 174, 268, 352, 234, 151, 96)(74, 117, 181, 278, 411, 274, 177, 114)(75, 118, 182, 280, 421, 283, 183, 119)(86, 136, 210, 318, 470, 314, 206, 133)(87, 137, 211, 320, 480, 323, 212, 138)(99, 154, 239, 360, 535, 363, 240, 155)(101, 157, 242, 365, 542, 368, 243, 158)(107, 168, 258, 386, 567, 384, 256, 166)(109, 170, 261, 392, 540, 364, 241, 156)(116, 180, 277, 415, 602, 413, 275, 178)(120, 179, 276, 414, 603, 428, 284, 184)(122, 188, 289, 434, 619, 430, 285, 185)(123, 189, 290, 436, 626, 439, 291, 190)(126, 194, 296, 444, 638, 447, 297, 195)(132, 205, 312, 465, 660, 463, 310, 203)(135, 209, 317, 474, 672, 472, 315, 207)(139, 208, 316, 473, 673, 487, 324, 213)(141, 217, 329, 493, 687, 489, 325, 214)(142, 218, 330, 495, 694, 498, 331, 219)(146, 226, 340, 508, 704, 504, 336, 223)(147, 227, 341, 510, 711, 513, 342, 228)(159, 244, 369, 547, 752, 550, 370, 245)(161, 247, 372, 552, 759, 555, 373, 248)(165, 255, 382, 563, 685, 486, 380, 253)(167, 257, 385, 568, 757, 551, 371, 246)(172, 264, 397, 582, 787, 585, 398, 265)(176, 272, 407, 593, 755, 549, 405, 270)(187, 288, 433, 496, 695, 621, 431, 286)(191, 287, 432, 622, 824, 633, 440, 292)(192, 293, 441, 475, 675, 635, 442, 294)(196, 298, 448, 642, 565, 383, 449, 299)(198, 301, 451, 645, 843, 648, 452, 302)(202, 309, 461, 656, 538, 362, 459, 307)(204, 311, 464, 661, 842, 644, 450, 300)(216, 328, 492, 511, 712, 689, 490, 326)(220, 327, 491, 690, 878, 700, 499, 332)(221, 333, 500, 393, 578, 702, 501, 334)(225, 339, 507, 437, 628, 706, 505, 337)(229, 338, 506, 707, 887, 717, 514, 343)(231, 347, 519, 723, 896, 719, 515, 344)(232, 348, 520, 416, 605, 726, 521, 349)(236, 356, 530, 733, 679, 481, 526, 353)(237, 357, 531, 735, 907, 738, 532, 358)(249, 374, 556, 662, 857, 764, 557, 375)(252, 379, 561, 767, 877, 716, 559, 377)(254, 381, 562, 769, 924, 765, 558, 376)(259, 388, 573, 410, 597, 781, 574, 389)(263, 396, 581, 785, 922, 763, 579, 394)(266, 399, 586, 791, 658, 462, 587, 400)(269, 404, 591, 795, 616, 427, 589, 402)(271, 406, 592, 797, 937, 793, 588, 401)(273, 408, 595, 469, 667, 803, 596, 409)(279, 419, 608, 812, 943, 811, 606, 417)(281, 423, 612, 731, 527, 355, 529, 420)(282, 424, 613, 768, 927, 818, 614, 425)(295, 378, 560, 766, 925, 834, 636, 443)(303, 453, 649, 798, 753, 810, 650, 454)(306, 458, 654, 849, 831, 632, 652, 456)(308, 460, 655, 851, 959, 847, 651, 455)(313, 467, 576, 390, 575, 782, 666, 468)(319, 478, 678, 868, 963, 867, 676, 476)(321, 482, 681, 814, 609, 422, 611, 479)(322, 483, 682, 850, 961, 873, 683, 484)(335, 457, 653, 848, 960, 885, 703, 502)(346, 518, 722, 736, 823, 699, 720, 516)(350, 517, 721, 897, 975, 902, 727, 522)(351, 523, 728, 569, 776, 866, 729, 524)(359, 528, 732, 905, 822, 620, 739, 533)(361, 537, 743, 790, 821, 624, 740, 534)(366, 543, 747, 913, 875, 686, 488, 541)(367, 544, 748, 915, 982, 916, 749, 545)(387, 572, 779, 872, 832, 634, 777, 570)(395, 580, 784, 792, 935, 933, 783, 577)(403, 590, 794, 938, 977, 903, 730, 525)(412, 599, 750, 546, 746, 692, 805, 600)(418, 607, 751, 548, 754, 917, 804, 598)(426, 610, 815, 945, 876, 688, 819, 615)(429, 617, 583, 659, 855, 946, 820, 618)(435, 625, 827, 950, 996, 949, 826, 623)(438, 629, 771, 564, 773, 869, 830, 630)(445, 566, 774, 928, 828, 627, 503, 637)(446, 639, 836, 952, 998, 953, 837, 640)(466, 665, 860, 737, 884, 701, 858, 663)(471, 669, 838, 641, 835, 709, 863, 670)(477, 677, 839, 643, 840, 954, 862, 668)(485, 680, 870, 964, 886, 705, 874, 684)(494, 693, 881, 968, 1003, 967, 880, 691)(497, 696, 852, 657, 854, 786, 883, 697)(509, 710, 890, 972, 1005, 971, 889, 708)(512, 713, 892, 796, 939, 813, 893, 714)(536, 742, 909, 807, 601, 806, 908, 741)(539, 744, 911, 770, 674, 865, 912, 745)(553, 760, 920, 986, 974, 895, 718, 758)(554, 761, 646, 844, 956, 987, 921, 762)(571, 778, 861, 932, 990, 989, 929, 775)(584, 788, 910, 980, 1007, 992, 934, 789)(594, 801, 930, 817, 900, 725, 899, 799)(604, 809, 942, 864, 671, 833, 941, 808)(631, 829, 951, 997, 994, 944, 871, 772)(647, 845, 724, 898, 976, 999, 957, 846)(664, 859, 780, 931, 983, 1001, 962, 856)(698, 882, 969, 1004, 979, 906, 734, 853)(715, 891, 973, 1006, 978, 904, 816, 894)(756, 918, 984, 926, 888, 970, 985, 919)(800, 901, 802, 940, 993, 1008, 981, 914)(825, 948, 995, 955, 841, 923, 988, 947)(879, 966, 1002, 991, 936, 958, 1000, 965)(1009, 1010, 1012)(1011, 1016, 1018)(1013, 1020, 1014)(1015, 1023, 1019)(1017, 1026, 1028)(1021, 1033, 1031)(1022, 1032, 1036)(1024, 1039, 1037)(1025, 1041, 1029)(1027, 1044, 1046)(1030, 1038, 1050)(1034, 1055, 1053)(1035, 1056, 1058)(1040, 1064, 1062)(1042, 1067, 1065)(1043, 1069, 1047)(1045, 1072, 1073)(1048, 1066, 1077)(1049, 1078, 1079)(1051, 1054, 1082)(1052, 1083, 1059)(1057, 1089, 1090)(1060, 1063, 1094)(1061, 1095, 1080)(1068, 1104, 1102)(1070, 1107, 1105)(1071, 1109, 1074)(1075, 1106, 1115)(1076, 1116, 1117)(1081, 1122, 1124)(1084, 1128, 1126)(1085, 1087, 1130)(1086, 1131, 1125)(1088, 1134, 1091)(1092, 1127, 1140)(1093, 1141, 1143)(1096, 1147, 1145)(1097, 1099, 1149)(1098, 1150, 1144)(1100, 1103, 1154)(1101, 1155, 1118)(1108, 1164, 1162)(1110, 1167, 1165)(1111, 1169, 1112)(1113, 1166, 1173)(1114, 1174, 1175)(1119, 1180, 1120)(1121, 1146, 1184)(1123, 1186, 1187)(1129, 1193, 1195)(1132, 1199, 1197)(1133, 1200, 1196)(1135, 1204, 1202)(1136, 1206, 1137)(1138, 1203, 1210)(1139, 1211, 1212)(1142, 1215, 1216)(1148, 1222, 1224)(1151, 1228, 1226)(1152, 1229, 1225)(1153, 1231, 1233)(1156, 1237, 1235)(1157, 1159, 1239)(1158, 1240, 1234)(1160, 1163, 1244)(1161, 1245, 1176)(1168, 1254, 1252)(1170, 1257, 1255)(1171, 1256, 1260)(1172, 1261, 1262)(1177, 1267, 1178)(1179, 1236, 1271)(1181, 1274, 1272)(1182, 1273, 1277)(1183, 1278, 1279)(1185, 1281, 1188)(1189, 1198, 1287)(1190, 1192, 1289)(1191, 1290, 1213)(1194, 1294, 1295)(1201, 1303, 1301)(1205, 1308, 1306)(1207, 1311, 1309)(1208, 1310, 1314)(1209, 1315, 1316)(1214, 1321, 1217)(1218, 1227, 1327)(1219, 1221, 1329)(1220, 1330, 1280)(1223, 1334, 1335)(1230, 1343, 1341)(1232, 1345, 1346)(1238, 1352, 1354)(1241, 1358, 1356)(1242, 1359, 1355)(1243, 1361, 1363)(1246, 1367, 1365)(1247, 1249, 1369)(1248, 1370, 1364)(1250, 1253, 1374)(1251, 1375, 1263)(1258, 1384, 1382)(1259, 1385, 1386)(1264, 1391, 1265)(1266, 1366, 1395)(1268, 1398, 1396)(1269, 1397, 1401)(1270, 1402, 1403)(1275, 1409, 1407)(1276, 1410, 1411)(1282, 1418, 1416)(1283, 1420, 1284)(1285, 1417, 1424)(1286, 1425, 1426)(1288, 1428, 1430)(1291, 1434, 1432)(1292, 1435, 1431)(1293, 1437, 1296)(1297, 1302, 1443)(1298, 1300, 1445)(1299, 1446, 1427)(1304, 1307, 1453)(1305, 1454, 1317)(1312, 1463, 1461)(1313, 1464, 1465)(1318, 1470, 1319)(1320, 1433, 1474)(1322, 1477, 1475)(1323, 1479, 1324)(1325, 1476, 1483)(1326, 1484, 1485)(1328, 1487, 1489)(1331, 1493, 1491)(1332, 1494, 1490)(1333, 1496, 1336)(1337, 1342, 1502)(1338, 1340, 1504)(1339, 1505, 1486)(1344, 1511, 1347)(1348, 1357, 1517)(1349, 1351, 1519)(1350, 1520, 1404)(1353, 1524, 1525)(1360, 1533, 1531)(1362, 1535, 1536)(1368, 1542, 1544)(1371, 1468, 1467)(1372, 1547, 1545)(1373, 1549, 1497)(1376, 1554, 1552)(1377, 1379, 1556)(1378, 1557, 1551)(1380, 1383, 1561)(1381, 1562, 1387)(1388, 1495, 1389)(1390, 1553, 1572)(1392, 1574, 1457)(1393, 1573, 1577)(1394, 1578, 1579)(1399, 1585, 1583)(1400, 1508, 1510)(1405, 1408, 1591)(1406, 1592, 1412)(1413, 1558, 1414)(1415, 1492, 1602)(1419, 1606, 1605)(1421, 1609, 1607)(1422, 1608, 1612)(1423, 1528, 1530)(1429, 1617, 1618)(1436, 1598, 1597)(1438, 1590, 1625)(1439, 1628, 1440)(1441, 1626, 1503)(1442, 1631, 1632)(1444, 1515, 1635)(1447, 1639, 1637)(1448, 1640, 1636)(1449, 1451, 1482)(1450, 1642, 1633)(1452, 1645, 1512)(1455, 1649, 1647)(1456, 1458, 1651)(1459, 1462, 1654)(1460, 1655, 1466)(1469, 1648, 1665)(1471, 1667, 1595)(1472, 1666, 1670)(1473, 1671, 1672)(1478, 1676, 1675)(1480, 1679, 1677)(1481, 1678, 1682)(1488, 1687, 1688)(1498, 1696, 1499)(1500, 1694, 1518)(1501, 1699, 1700)(1506, 1706, 1704)(1507, 1707, 1703)(1509, 1709, 1701)(1513, 1713, 1514)(1516, 1716, 1717)(1521, 1723, 1721)(1522, 1724, 1720)(1523, 1726, 1526)(1527, 1532, 1732)(1529, 1733, 1718)(1534, 1619, 1537)(1538, 1546, 1742)(1539, 1541, 1744)(1540, 1745, 1580)(1543, 1749, 1663)(1548, 1711, 1752)(1550, 1695, 1754)(1555, 1759, 1761)(1559, 1764, 1762)(1560, 1766, 1727)(1563, 1653, 1769)(1564, 1566, 1669)(1565, 1771, 1768)(1567, 1725, 1568)(1569, 1770, 1776)(1570, 1681, 1778)(1571, 1779, 1780)(1575, 1783, 1782)(1576, 1736, 1738)(1581, 1584, 1603)(1582, 1788, 1586)(1587, 1772, 1588)(1589, 1722, 1794)(1593, 1798, 1796)(1594, 1596, 1800)(1599, 1797, 1804)(1600, 1760, 1806)(1601, 1807, 1808)(1604, 1810, 1613)(1610, 1735, 1814)(1611, 1816, 1802)(1614, 1818, 1615)(1616, 1638, 1821)(1620, 1624, 1824)(1621, 1623, 1775)(1622, 1825, 1673)(1627, 1829, 1795)(1629, 1831, 1747)(1630, 1830, 1833)(1634, 1836, 1837)(1641, 1661, 1660)(1643, 1786, 1785)(1644, 1841, 1680)(1646, 1712, 1843)(1650, 1847, 1784)(1652, 1849, 1848)(1656, 1731, 1853)(1657, 1659, 1805)(1658, 1819, 1852)(1662, 1854, 1858)(1664, 1860, 1861)(1668, 1864, 1863)(1674, 1869, 1683)(1684, 1874, 1685)(1686, 1705, 1877)(1689, 1693, 1879)(1690, 1692, 1857)(1691, 1880, 1809)(1697, 1885, 1827)(1698, 1884, 1887)(1702, 1828, 1890)(1708, 1729, 1728)(1710, 1867, 1866)(1714, 1839, 1882)(1715, 1894, 1896)(1719, 1883, 1899)(1730, 1903, 1743)(1734, 1909, 1907)(1737, 1875, 1906)(1739, 1912, 1740)(1741, 1914, 1878)(1746, 1889, 1892)(1748, 1834, 1750)(1751, 1753, 1918)(1755, 1763, 1922)(1756, 1758, 1815)(1757, 1876, 1781)(1765, 1911, 1926)(1767, 1904, 1851)(1773, 1931, 1850)(1774, 1895, 1934)(1777, 1919, 1893)(1787, 1868, 1938)(1789, 1812, 1939)(1790, 1791, 1940)(1792, 1865, 1799)(1793, 1862, 1845)(1801, 1944, 1943)(1803, 1900, 1902)(1811, 1870, 1948)(1813, 1888, 1817)(1820, 1947, 1942)(1822, 1952, 1823)(1826, 1898, 1908)(1832, 1955, 1856)(1835, 1840, 1881)(1838, 1891, 1901)(1842, 1946, 1949)(1844, 1846, 1872)(1855, 1966, 1945)(1859, 1916, 1910)(1871, 1897, 1873)(1886, 1973, 1905)(1913, 1986, 1956)(1915, 1982, 1976)(1917, 1957, 1923)(1920, 1979, 1988)(1921, 1989, 1981)(1924, 1984, 1971)(1925, 1927, 1991)(1928, 1930, 1961)(1929, 1980, 1935)(1932, 1968, 1996)(1933, 1992, 1985)(1936, 1937, 1959)(1941, 1999, 1998)(1950, 1975, 1960)(1951, 2000, 1964)(1953, 2002, 1974)(1954, 1970, 1977)(1958, 1969, 1965)(1962, 1963, 2001)(1967, 1983, 2008)(1972, 1987, 1978)(1990, 2004, 2007)(1993, 2012, 2009)(1994, 2006, 2011)(1995, 2015, 2013)(1997, 2010, 2005)(2003, 2014, 2016)
	L = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 1108)(101, 1109)(102, 1110)(103, 1111)(104, 1112)(105, 1113)(106, 1114)(107, 1115)(108, 1116)(109, 1117)(110, 1118)(111, 1119)(112, 1120)(113, 1121)(114, 1122)(115, 1123)(116, 1124)(117, 1125)(118, 1126)(119, 1127)(120, 1128)(121, 1129)(122, 1130)(123, 1131)(124, 1132)(125, 1133)(126, 1134)(127, 1135)(128, 1136)(129, 1137)(130, 1138)(131, 1139)(132, 1140)(133, 1141)(134, 1142)(135, 1143)(136, 1144)(137, 1145)(138, 1146)(139, 1147)(140, 1148)(141, 1149)(142, 1150)(143, 1151)(144, 1152)(145, 1153)(146, 1154)(147, 1155)(148, 1156)(149, 1157)(150, 1158)(151, 1159)(152, 1160)(153, 1161)(154, 1162)(155, 1163)(156, 1164)(157, 1165)(158, 1166)(159, 1167)(160, 1168)(161, 1169)(162, 1170)(163, 1171)(164, 1172)(165, 1173)(166, 1174)(167, 1175)(168, 1176)(169, 1177)(170, 1178)(171, 1179)(172, 1180)(173, 1181)(174, 1182)(175, 1183)(176, 1184)(177, 1185)(178, 1186)(179, 1187)(180, 1188)(181, 1189)(182, 1190)(183, 1191)(184, 1192)(185, 1193)(186, 1194)(187, 1195)(188, 1196)(189, 1197)(190, 1198)(191, 1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 1290)(283, 1291)(284, 1292)(285, 1293)(286, 1294)(287, 1295)(288, 1296)(289, 1297)(290, 1298)(291, 1299)(292, 1300)(293, 1301)(294, 1302)(295, 1303)(296, 1304)(297, 1305)(298, 1306)(299, 1307)(300, 1308)(301, 1309)(302, 1310)(303, 1311)(304, 1312)(305, 1313)(306, 1314)(307, 1315)(308, 1316)(309, 1317)(310, 1318)(311, 1319)(312, 1320)(313, 1321)(314, 1322)(315, 1323)(316, 1324)(317, 1325)(318, 1326)(319, 1327)(320, 1328)(321, 1329)(322, 1330)(323, 1331)(324, 1332)(325, 1333)(326, 1334)(327, 1335)(328, 1336)(329, 1337)(330, 1338)(331, 1339)(332, 1340)(333, 1341)(334, 1342)(335, 1343)(336, 1344)(337, 1345)(338, 1346)(339, 1347)(340, 1348)(341, 1349)(342, 1350)(343, 1351)(344, 1352)(345, 1353)(346, 1354)(347, 1355)(348, 1356)(349, 1357)(350, 1358)(351, 1359)(352, 1360)(353, 1361)(354, 1362)(355, 1363)(356, 1364)(357, 1365)(358, 1366)(359, 1367)(360, 1368)(361, 1369)(362, 1370)(363, 1371)(364, 1372)(365, 1373)(366, 1374)(367, 1375)(368, 1376)(369, 1377)(370, 1378)(371, 1379)(372, 1380)(373, 1381)(374, 1382)(375, 1383)(376, 1384)(377, 1385)(378, 1386)(379, 1387)(380, 1388)(381, 1389)(382, 1390)(383, 1391)(384, 1392)(385, 1393)(386, 1394)(387, 1395)(388, 1396)(389, 1397)(390, 1398)(391, 1399)(392, 1400)(393, 1401)(394, 1402)(395, 1403)(396, 1404)(397, 1405)(398, 1406)(399, 1407)(400, 1408)(401, 1409)(402, 1410)(403, 1411)(404, 1412)(405, 1413)(406, 1414)(407, 1415)(408, 1416)(409, 1417)(410, 1418)(411, 1419)(412, 1420)(413, 1421)(414, 1422)(415, 1423)(416, 1424)(417, 1425)(418, 1426)(419, 1427)(420, 1428)(421, 1429)(422, 1430)(423, 1431)(424, 1432)(425, 1433)(426, 1434)(427, 1435)(428, 1436)(429, 1437)(430, 1438)(431, 1439)(432, 1440)(433, 1441)(434, 1442)(435, 1443)(436, 1444)(437, 1445)(438, 1446)(439, 1447)(440, 1448)(441, 1449)(442, 1450)(443, 1451)(444, 1452)(445, 1453)(446, 1454)(447, 1455)(448, 1456)(449, 1457)(450, 1458)(451, 1459)(452, 1460)(453, 1461)(454, 1462)(455, 1463)(456, 1464)(457, 1465)(458, 1466)(459, 1467)(460, 1468)(461, 1469)(462, 1470)(463, 1471)(464, 1472)(465, 1473)(466, 1474)(467, 1475)(468, 1476)(469, 1477)(470, 1478)(471, 1479)(472, 1480)(473, 1481)(474, 1482)(475, 1483)(476, 1484)(477, 1485)(478, 1486)(479, 1487)(480, 1488)(481, 1489)(482, 1490)(483, 1491)(484, 1492)(485, 1493)(486, 1494)(487, 1495)(488, 1496)(489, 1497)(490, 1498)(491, 1499)(492, 1500)(493, 1501)(494, 1502)(495, 1503)(496, 1504)(497, 1505)(498, 1506)(499, 1507)(500, 1508)(501, 1509)(502, 1510)(503, 1511)(504, 1512)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1776
Transitivity :: ET+
Graph:: simple bipartite
	v = 462 e = 1008 f = 504
	degree seq :: [ 3^336, 8^126 ]

E22.1769 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^8, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-3 * T1^-1 * T2^2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1 * T2^-1, (T2^2 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1^-1)^2, T2^2 * T1^-1 * T2^4 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-6 * T1 * T2^-4 * T1^-1 * T2 * T1^-1, T2^2 * T1^-1 * T2^-3 * T1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^4 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-3 * T1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1^-1 * T2^4 * T1^-1 * T2^2 * 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, 267, 173, 111, 70)(47, 65, 104, 163, 251, 193, 125, 79)(50, 83, 130, 201, 304, 199, 128, 81)(56, 82, 129, 200, 305, 222, 144, 91)(59, 94, 149, 230, 345, 233, 150, 95)(61, 97, 152, 235, 353, 238, 153, 98)(69, 110, 171, 262, 385, 260, 169, 108)(71, 112, 174, 268, 352, 234, 151, 96)(74, 117, 181, 278, 403, 274, 177, 114)(75, 118, 182, 280, 412, 283, 183, 119)(86, 136, 210, 318, 454, 314, 206, 133)(87, 137, 211, 320, 463, 323, 212, 138)(99, 154, 239, 358, 509, 361, 240, 155)(101, 157, 242, 321, 464, 364, 243, 158)(107, 168, 258, 382, 536, 380, 256, 166)(109, 170, 261, 386, 516, 362, 241, 156)(116, 180, 277, 407, 564, 405, 275, 178)(120, 179, 276, 406, 565, 418, 284, 184)(122, 188, 289, 422, 453, 313, 285, 185)(123, 189, 290, 424, 581, 427, 291, 190)(126, 194, 296, 236, 354, 433, 297, 195)(132, 205, 312, 451, 606, 449, 310, 203)(135, 209, 317, 458, 613, 456, 315, 207)(139, 208, 316, 457, 614, 469, 324, 213)(141, 217, 329, 473, 384, 259, 325, 214)(142, 218, 330, 475, 626, 478, 331, 219)(146, 226, 340, 486, 402, 273, 336, 223)(147, 227, 341, 488, 636, 491, 342, 228)(159, 244, 365, 520, 660, 523, 366, 245)(161, 247, 368, 489, 605, 448, 369, 248)(165, 255, 378, 534, 676, 532, 376, 253)(167, 257, 381, 537, 666, 524, 367, 246)(172, 264, 391, 281, 413, 548, 392, 265)(176, 272, 401, 558, 690, 556, 399, 270)(187, 288, 421, 578, 709, 576, 419, 286)(191, 287, 420, 577, 710, 584, 428, 292)(192, 293, 429, 585, 715, 587, 430, 294)(196, 298, 434, 591, 719, 593, 435, 299)(198, 301, 437, 425, 582, 555, 438, 302)(202, 309, 447, 604, 733, 602, 445, 307)(204, 311, 450, 607, 724, 594, 436, 300)(216, 328, 472, 625, 751, 623, 470, 326)(220, 327, 471, 624, 752, 627, 479, 332)(221, 333, 480, 628, 755, 630, 481, 334)(225, 339, 485, 635, 761, 633, 483, 337)(229, 338, 484, 634, 762, 637, 492, 343)(231, 347, 497, 476, 535, 379, 493, 344)(232, 348, 498, 641, 769, 643, 499, 349)(237, 355, 505, 423, 580, 559, 506, 356)(249, 370, 525, 667, 796, 669, 526, 371)(252, 375, 530, 674, 803, 672, 528, 373)(254, 377, 533, 677, 801, 670, 527, 372)(263, 390, 546, 426, 583, 547, 544, 388)(266, 393, 549, 682, 812, 684, 550, 394)(269, 398, 554, 689, 818, 687, 552, 396)(271, 400, 557, 691, 817, 685, 551, 395)(279, 411, 570, 477, 518, 363, 517, 409)(282, 414, 572, 474, 538, 383, 539, 415)(295, 374, 529, 673, 804, 717, 588, 431)(303, 439, 595, 725, 846, 727, 596, 440)(306, 444, 600, 732, 853, 730, 598, 442)(308, 446, 603, 734, 851, 728, 597, 441)(319, 462, 618, 490, 590, 432, 589, 460)(322, 465, 619, 487, 608, 452, 609, 466)(335, 443, 599, 731, 854, 757, 631, 482)(346, 496, 640, 768, 880, 766, 638, 494)(350, 495, 639, 767, 881, 770, 644, 500)(351, 501, 645, 771, 882, 773, 646, 502)(357, 504, 648, 775, 744, 616, 459, 507)(359, 511, 653, 642, 675, 531, 649, 508)(360, 512, 654, 779, 712, 579, 461, 513)(387, 543, 416, 571, 703, 809, 680, 541)(389, 545, 417, 573, 704, 807, 679, 540)(397, 553, 688, 819, 884, 774, 647, 503)(404, 561, 693, 586, 716, 601, 694, 562)(408, 569, 467, 522, 663, 790, 701, 567)(410, 519, 468, 620, 746, 820, 692, 560)(455, 610, 736, 629, 756, 686, 737, 611)(510, 652, 778, 888, 952, 886, 776, 650)(514, 651, 777, 887, 953, 889, 781, 655)(515, 656, 782, 890, 954, 892, 783, 657)(521, 662, 789, 780, 802, 671, 785, 659)(542, 681, 810, 906, 955, 893, 784, 658)(563, 695, 821, 911, 969, 913, 822, 696)(566, 700, 799, 900, 960, 916, 824, 698)(568, 702, 800, 901, 961, 914, 823, 697)(574, 699, 825, 917, 970, 918, 828, 705)(575, 706, 795, 668, 798, 826, 829, 707)(592, 721, 840, 827, 852, 729, 836, 718)(612, 738, 856, 935, 983, 937, 857, 739)(615, 743, 849, 931, 979, 940, 859, 741)(617, 745, 850, 932, 980, 938, 858, 740)(621, 742, 860, 941, 984, 942, 863, 747)(622, 748, 845, 726, 848, 861, 864, 749)(632, 758, 869, 772, 883, 808, 870, 759)(661, 788, 896, 957, 990, 956, 894, 786)(664, 787, 895, 936, 921, 832, 711, 791)(665, 792, 897, 939, 920, 831, 713, 793)(678, 806, 905, 965, 991, 958, 898, 794)(683, 814, 909, 862, 878, 765, 877, 811)(708, 830, 919, 971, 992, 959, 899, 797)(714, 833, 922, 972, 997, 973, 923, 834)(720, 839, 927, 976, 999, 975, 925, 837)(722, 838, 926, 891, 945, 867, 753, 841)(723, 842, 928, 885, 944, 866, 754, 843)(735, 855, 934, 982, 1000, 977, 929, 844)(750, 865, 943, 985, 1001, 978, 930, 847)(760, 871, 947, 987, 1004, 988, 948, 872)(763, 875, 815, 908, 967, 912, 950, 874)(764, 876, 816, 910, 968, 915, 949, 873)(805, 904, 964, 995, 1006, 993, 962, 902)(813, 879, 951, 989, 1005, 996, 966, 907)(835, 903, 963, 994, 1007, 998, 974, 924)(868, 933, 981, 1002, 1008, 1003, 986, 946)(1009, 1010, 1012)(1011, 1016, 1018)(1013, 1020, 1014)(1015, 1023, 1019)(1017, 1026, 1028)(1021, 1033, 1031)(1022, 1032, 1036)(1024, 1039, 1037)(1025, 1041, 1029)(1027, 1044, 1046)(1030, 1038, 1050)(1034, 1055, 1053)(1035, 1056, 1058)(1040, 1064, 1062)(1042, 1067, 1065)(1043, 1069, 1047)(1045, 1072, 1073)(1048, 1066, 1077)(1049, 1078, 1079)(1051, 1054, 1082)(1052, 1083, 1059)(1057, 1089, 1090)(1060, 1063, 1094)(1061, 1095, 1080)(1068, 1104, 1102)(1070, 1107, 1105)(1071, 1109, 1074)(1075, 1106, 1115)(1076, 1116, 1117)(1081, 1122, 1124)(1084, 1128, 1126)(1085, 1087, 1130)(1086, 1131, 1125)(1088, 1134, 1091)(1092, 1127, 1140)(1093, 1141, 1143)(1096, 1147, 1145)(1097, 1099, 1149)(1098, 1150, 1144)(1100, 1103, 1154)(1101, 1155, 1118)(1108, 1164, 1162)(1110, 1167, 1165)(1111, 1169, 1112)(1113, 1166, 1173)(1114, 1174, 1175)(1119, 1180, 1120)(1121, 1146, 1184)(1123, 1186, 1187)(1129, 1193, 1195)(1132, 1199, 1197)(1133, 1200, 1196)(1135, 1204, 1202)(1136, 1206, 1137)(1138, 1203, 1210)(1139, 1211, 1212)(1142, 1215, 1216)(1148, 1222, 1224)(1151, 1228, 1226)(1152, 1229, 1225)(1153, 1231, 1233)(1156, 1237, 1235)(1157, 1159, 1239)(1158, 1240, 1234)(1160, 1163, 1244)(1161, 1245, 1176)(1168, 1254, 1252)(1170, 1257, 1255)(1171, 1256, 1260)(1172, 1261, 1262)(1177, 1267, 1178)(1179, 1236, 1271)(1181, 1274, 1272)(1182, 1273, 1277)(1183, 1278, 1279)(1185, 1281, 1188)(1189, 1198, 1287)(1190, 1192, 1289)(1191, 1290, 1213)(1194, 1294, 1295)(1201, 1303, 1301)(1205, 1308, 1306)(1207, 1311, 1309)(1208, 1310, 1314)(1209, 1315, 1316)(1214, 1321, 1217)(1218, 1227, 1327)(1219, 1221, 1329)(1220, 1330, 1280)(1223, 1334, 1335)(1230, 1343, 1341)(1232, 1345, 1346)(1238, 1352, 1354)(1241, 1358, 1356)(1242, 1359, 1355)(1243, 1304, 1307)(1246, 1365, 1363)(1247, 1249, 1367)(1248, 1368, 1362)(1250, 1253, 1328)(1251, 1371, 1263)(1258, 1380, 1378)(1259, 1381, 1382)(1264, 1387, 1265)(1266, 1364, 1391)(1268, 1336, 1333)(1269, 1392, 1395)(1270, 1396, 1397)(1275, 1403, 1401)(1276, 1404, 1405)(1282, 1347, 1344)(1283, 1412, 1284)(1285, 1410, 1416)(1286, 1417, 1418)(1288, 1399, 1402)(1291, 1424, 1422)(1292, 1425, 1421)(1293, 1322, 1296)(1297, 1302, 1431)(1298, 1300, 1433)(1299, 1434, 1419)(1305, 1440, 1317)(1312, 1449, 1447)(1313, 1450, 1451)(1318, 1456, 1319)(1320, 1423, 1460)(1323, 1463, 1324)(1325, 1461, 1467)(1326, 1468, 1469)(1331, 1475, 1473)(1332, 1476, 1472)(1337, 1342, 1482)(1338, 1340, 1484)(1339, 1485, 1470)(1348, 1357, 1495)(1349, 1351, 1497)(1350, 1498, 1398)(1353, 1502, 1503)(1360, 1511, 1509)(1361, 1443, 1512)(1366, 1516, 1518)(1369, 1522, 1520)(1370, 1523, 1519)(1372, 1527, 1525)(1373, 1375, 1529)(1374, 1530, 1471)(1376, 1379, 1496)(1377, 1457, 1383)(1384, 1539, 1385)(1386, 1526, 1486)(1388, 1504, 1501)(1389, 1543, 1487)(1390, 1546, 1489)(1393, 1548, 1480)(1394, 1549, 1550)(1400, 1555, 1406)(1407, 1563, 1408)(1409, 1474, 1567)(1411, 1568, 1493)(1413, 1571, 1569)(1414, 1570, 1574)(1415, 1575, 1576)(1420, 1558, 1579)(1426, 1582, 1581)(1427, 1583, 1428)(1429, 1462, 1587)(1430, 1513, 1515)(1432, 1445, 1448)(1435, 1562, 1591)(1436, 1565, 1590)(1437, 1439, 1594)(1438, 1566, 1588)(1441, 1521, 1597)(1442, 1444, 1600)(1446, 1564, 1452)(1453, 1609, 1454)(1455, 1598, 1499)(1458, 1613, 1500)(1459, 1616, 1507)(1464, 1620, 1618)(1465, 1619, 1623)(1466, 1624, 1625)(1477, 1629, 1628)(1478, 1630, 1479)(1481, 1580, 1551)(1483, 1505, 1510)(1488, 1490, 1637)(1491, 1640, 1492)(1494, 1627, 1577)(1506, 1508, 1650)(1514, 1617, 1547)(1517, 1658, 1659)(1524, 1666, 1664)(1528, 1667, 1669)(1531, 1672, 1671)(1532, 1673, 1670)(1533, 1535, 1676)(1534, 1612, 1644)(1536, 1679, 1537)(1538, 1614, 1651)(1540, 1660, 1657)(1541, 1683, 1652)(1542, 1634, 1654)(1544, 1638, 1648)(1545, 1635, 1686)(1552, 1556, 1553)(1554, 1626, 1578)(1557, 1559, 1691)(1560, 1694, 1561)(1572, 1705, 1703)(1573, 1706, 1707)(1584, 1716, 1714)(1585, 1715, 1719)(1586, 1720, 1721)(1589, 1604, 1697)(1592, 1722, 1699)(1593, 1701, 1704)(1595, 1608, 1698)(1596, 1611, 1724)(1599, 1726, 1728)(1601, 1730, 1656)(1602, 1731, 1729)(1603, 1605, 1734)(1606, 1737, 1607)(1610, 1708, 1702)(1615, 1645, 1743)(1621, 1748, 1746)(1622, 1749, 1750)(1631, 1758, 1756)(1632, 1757, 1761)(1633, 1687, 1762)(1636, 1744, 1747)(1639, 1696, 1764)(1641, 1768, 1766)(1642, 1767, 1771)(1643, 1700, 1772)(1646, 1773, 1647)(1649, 1661, 1665)(1653, 1655, 1780)(1662, 1663, 1788)(1668, 1794, 1795)(1674, 1802, 1800)(1675, 1803, 1805)(1677, 1807, 1741)(1678, 1808, 1806)(1680, 1796, 1793)(1681, 1810, 1789)(1682, 1777, 1791)(1684, 1781, 1786)(1685, 1778, 1813)(1688, 1816, 1689)(1690, 1819, 1821)(1692, 1823, 1711)(1693, 1824, 1822)(1695, 1751, 1745)(1709, 1834, 1710)(1712, 1713, 1835)(1717, 1839, 1838)(1718, 1840, 1841)(1723, 1830, 1740)(1725, 1843, 1742)(1727, 1845, 1846)(1732, 1852, 1850)(1733, 1853, 1855)(1735, 1857, 1826)(1736, 1858, 1856)(1738, 1847, 1844)(1739, 1860, 1836)(1752, 1869, 1753)(1754, 1755, 1870)(1759, 1874, 1873)(1760, 1875, 1814)(1763, 1865, 1776)(1765, 1876, 1827)(1769, 1881, 1879)(1770, 1882, 1863)(1774, 1887, 1885)(1775, 1886, 1871)(1779, 1877, 1880)(1782, 1818, 1891)(1783, 1849, 1872)(1784, 1893, 1785)(1787, 1797, 1801)(1790, 1792, 1899)(1798, 1799, 1837)(1804, 1907, 1908)(1809, 1910, 1909)(1811, 1900, 1904)(1812, 1897, 1911)(1815, 1848, 1851)(1817, 1883, 1878)(1820, 1915, 1916)(1825, 1842, 1918)(1828, 1917, 1884)(1829, 1831, 1920)(1832, 1923, 1833)(1854, 1938, 1939)(1859, 1932, 1940)(1861, 1921, 1935)(1862, 1926, 1941)(1864, 1866, 1944)(1867, 1947, 1868)(1888, 1945, 1959)(1889, 1950, 1912)(1890, 1956, 1896)(1892, 1954, 1914)(1894, 1951, 1952)(1895, 1936, 1937)(1898, 1934, 1933)(1901, 1913, 1953)(1902, 1943, 1903)(1905, 1906, 1949)(1919, 1975, 1974)(1922, 1942, 1958)(1924, 1955, 1957)(1925, 1976, 1931)(1927, 1928, 1948)(1929, 1946, 1930)(1960, 1996, 1993)(1961, 1985, 1971)(1962, 1983, 1965)(1963, 1994, 1973)(1964, 1997, 1991)(1966, 1972, 1992)(1967, 1995, 1968)(1969, 1970, 1990)(1977, 2004, 1984)(1978, 1981, 1989)(1979, 1987, 1986)(1980, 1988, 1982)(1998, 2007, 2013)(1999, 2011, 2003)(2000, 2009, 2012)(2001, 2002, 2008)(2005, 2006, 2010)(2014, 2016, 2015)
	L = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 1108)(101, 1109)(102, 1110)(103, 1111)(104, 1112)(105, 1113)(106, 1114)(107, 1115)(108, 1116)(109, 1117)(110, 1118)(111, 1119)(112, 1120)(113, 1121)(114, 1122)(115, 1123)(116, 1124)(117, 1125)(118, 1126)(119, 1127)(120, 1128)(121, 1129)(122, 1130)(123, 1131)(124, 1132)(125, 1133)(126, 1134)(127, 1135)(128, 1136)(129, 1137)(130, 1138)(131, 1139)(132, 1140)(133, 1141)(134, 1142)(135, 1143)(136, 1144)(137, 1145)(138, 1146)(139, 1147)(140, 1148)(141, 1149)(142, 1150)(143, 1151)(144, 1152)(145, 1153)(146, 1154)(147, 1155)(148, 1156)(149, 1157)(150, 1158)(151, 1159)(152, 1160)(153, 1161)(154, 1162)(155, 1163)(156, 1164)(157, 1165)(158, 1166)(159, 1167)(160, 1168)(161, 1169)(162, 1170)(163, 1171)(164, 1172)(165, 1173)(166, 1174)(167, 1175)(168, 1176)(169, 1177)(170, 1178)(171, 1179)(172, 1180)(173, 1181)(174, 1182)(175, 1183)(176, 1184)(177, 1185)(178, 1186)(179, 1187)(180, 1188)(181, 1189)(182, 1190)(183, 1191)(184, 1192)(185, 1193)(186, 1194)(187, 1195)(188, 1196)(189, 1197)(190, 1198)(191, 1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 1290)(283, 1291)(284, 1292)(285, 1293)(286, 1294)(287, 1295)(288, 1296)(289, 1297)(290, 1298)(291, 1299)(292, 1300)(293, 1301)(294, 1302)(295, 1303)(296, 1304)(297, 1305)(298, 1306)(299, 1307)(300, 1308)(301, 1309)(302, 1310)(303, 1311)(304, 1312)(305, 1313)(306, 1314)(307, 1315)(308, 1316)(309, 1317)(310, 1318)(311, 1319)(312, 1320)(313, 1321)(314, 1322)(315, 1323)(316, 1324)(317, 1325)(318, 1326)(319, 1327)(320, 1328)(321, 1329)(322, 1330)(323, 1331)(324, 1332)(325, 1333)(326, 1334)(327, 1335)(328, 1336)(329, 1337)(330, 1338)(331, 1339)(332, 1340)(333, 1341)(334, 1342)(335, 1343)(336, 1344)(337, 1345)(338, 1346)(339, 1347)(340, 1348)(341, 1349)(342, 1350)(343, 1351)(344, 1352)(345, 1353)(346, 1354)(347, 1355)(348, 1356)(349, 1357)(350, 1358)(351, 1359)(352, 1360)(353, 1361)(354, 1362)(355, 1363)(356, 1364)(357, 1365)(358, 1366)(359, 1367)(360, 1368)(361, 1369)(362, 1370)(363, 1371)(364, 1372)(365, 1373)(366, 1374)(367, 1375)(368, 1376)(369, 1377)(370, 1378)(371, 1379)(372, 1380)(373, 1381)(374, 1382)(375, 1383)(376, 1384)(377, 1385)(378, 1386)(379, 1387)(380, 1388)(381, 1389)(382, 1390)(383, 1391)(384, 1392)(385, 1393)(386, 1394)(387, 1395)(388, 1396)(389, 1397)(390, 1398)(391, 1399)(392, 1400)(393, 1401)(394, 1402)(395, 1403)(396, 1404)(397, 1405)(398, 1406)(399, 1407)(400, 1408)(401, 1409)(402, 1410)(403, 1411)(404, 1412)(405, 1413)(406, 1414)(407, 1415)(408, 1416)(409, 1417)(410, 1418)(411, 1419)(412, 1420)(413, 1421)(414, 1422)(415, 1423)(416, 1424)(417, 1425)(418, 1426)(419, 1427)(420, 1428)(421, 1429)(422, 1430)(423, 1431)(424, 1432)(425, 1433)(426, 1434)(427, 1435)(428, 1436)(429, 1437)(430, 1438)(431, 1439)(432, 1440)(433, 1441)(434, 1442)(435, 1443)(436, 1444)(437, 1445)(438, 1446)(439, 1447)(440, 1448)(441, 1449)(442, 1450)(443, 1451)(444, 1452)(445, 1453)(446, 1454)(447, 1455)(448, 1456)(449, 1457)(450, 1458)(451, 1459)(452, 1460)(453, 1461)(454, 1462)(455, 1463)(456, 1464)(457, 1465)(458, 1466)(459, 1467)(460, 1468)(461, 1469)(462, 1470)(463, 1471)(464, 1472)(465, 1473)(466, 1474)(467, 1475)(468, 1476)(469, 1477)(470, 1478)(471, 1479)(472, 1480)(473, 1481)(474, 1482)(475, 1483)(476, 1484)(477, 1485)(478, 1486)(479, 1487)(480, 1488)(481, 1489)(482, 1490)(483, 1491)(484, 1492)(485, 1493)(486, 1494)(487, 1495)(488, 1496)(489, 1497)(490, 1498)(491, 1499)(492, 1500)(493, 1501)(494, 1502)(495, 1503)(496, 1504)(497, 1505)(498, 1506)(499, 1507)(500, 1508)(501, 1509)(502, 1510)(503, 1511)(504, 1512)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1777
Transitivity :: ET+
Graph:: simple bipartite
	v = 462 e = 1008 f = 504
	degree seq :: [ 3^336, 8^126 ]

E22.1770 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^3, T1^8, T1^8, (T2 * T1^3 * T2 * T1^-2 * T2 * T1^3)^2, (T1^-2 * T2 * T1^3 * T2 * T1^-1)^3 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 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, 334)(234, 337)(235, 338)(237, 339)(238, 343)(242, 345)(243, 349)(244, 352)(246, 346)(247, 355)(249, 356)(250, 360)(252, 324)(253, 364)(254, 365)(256, 368)(258, 369)(259, 373)(262, 376)(263, 377)(265, 378)(266, 382)(268, 385)(271, 389)(272, 390)(273, 393)(276, 396)(277, 398)(280, 399)(281, 402)(284, 404)(285, 408)(286, 411)(288, 405)(291, 417)(292, 418)(294, 421)(295, 422)(297, 423)(298, 427)(299, 429)(300, 430)(301, 433)(304, 436)(305, 438)(309, 440)(310, 444)(311, 446)(313, 449)(316, 452)(317, 453)(319, 454)(320, 458)(322, 461)(326, 439)(327, 467)(328, 468)(330, 471)(332, 472)(333, 475)(335, 476)(336, 480)(340, 482)(341, 485)(342, 488)(344, 483)(347, 494)(348, 495)(350, 498)(351, 469)(353, 499)(354, 501)(357, 502)(358, 505)(359, 507)(361, 510)(362, 511)(363, 514)(366, 517)(367, 519)(370, 520)(371, 424)(372, 523)(374, 524)(375, 527)(379, 529)(380, 533)(381, 516)(383, 530)(384, 536)(386, 537)(387, 540)(388, 518)(391, 544)(392, 545)(394, 546)(395, 457)(397, 509)(400, 555)(401, 556)(403, 487)(406, 561)(407, 562)(409, 565)(410, 566)(412, 567)(413, 571)(414, 573)(415, 574)(416, 577)(419, 579)(420, 581)(425, 586)(426, 588)(428, 591)(431, 594)(432, 595)(434, 596)(435, 599)(437, 602)(441, 582)(442, 607)(443, 608)(445, 610)(447, 611)(448, 614)(450, 615)(451, 619)(455, 621)(456, 624)(459, 622)(460, 609)(462, 628)(463, 630)(464, 631)(465, 632)(466, 635)(470, 637)(473, 638)(474, 568)(477, 641)(478, 645)(479, 647)(481, 642)(484, 651)(486, 653)(489, 654)(490, 656)(491, 657)(492, 658)(493, 661)(496, 663)(497, 665)(500, 667)(503, 666)(504, 670)(506, 671)(508, 672)(512, 678)(513, 679)(515, 680)(521, 585)(522, 687)(525, 691)(526, 564)(528, 689)(531, 695)(532, 655)(534, 698)(535, 699)(538, 644)(539, 702)(541, 685)(542, 684)(543, 705)(547, 613)(548, 709)(549, 626)(550, 706)(551, 676)(552, 675)(553, 713)(554, 664)(557, 688)(558, 717)(559, 718)(560, 721)(563, 723)(569, 729)(570, 731)(572, 733)(575, 735)(576, 736)(578, 737)(580, 742)(583, 725)(584, 745)(587, 747)(589, 748)(590, 749)(592, 750)(593, 752)(597, 754)(598, 757)(600, 755)(601, 746)(603, 760)(604, 762)(605, 763)(606, 765)(612, 767)(616, 769)(617, 772)(618, 773)(620, 770)(623, 777)(625, 779)(627, 780)(629, 781)(633, 784)(634, 785)(636, 786)(639, 728)(640, 790)(643, 793)(646, 726)(648, 794)(649, 797)(650, 799)(652, 802)(659, 805)(660, 806)(662, 807)(668, 814)(669, 816)(673, 818)(674, 795)(677, 821)(681, 815)(682, 825)(683, 822)(686, 828)(690, 830)(692, 724)(693, 832)(694, 834)(696, 803)(697, 836)(700, 837)(701, 791)(703, 839)(704, 841)(707, 843)(708, 768)(710, 845)(711, 820)(712, 847)(714, 812)(715, 811)(716, 850)(719, 851)(720, 852)(722, 853)(727, 857)(730, 859)(732, 860)(734, 861)(738, 863)(739, 866)(740, 864)(741, 858)(743, 868)(744, 870)(751, 874)(753, 872)(756, 878)(758, 880)(759, 881)(761, 882)(764, 885)(766, 886)(771, 890)(774, 891)(775, 893)(776, 895)(778, 898)(782, 899)(783, 901)(787, 900)(788, 904)(789, 906)(792, 897)(796, 911)(798, 912)(800, 913)(801, 917)(804, 920)(808, 921)(809, 924)(810, 922)(813, 927)(817, 884)(819, 910)(823, 930)(824, 892)(826, 932)(827, 933)(829, 888)(831, 919)(833, 937)(835, 938)(838, 873)(840, 907)(842, 945)(844, 855)(846, 928)(848, 947)(849, 948)(854, 950)(856, 953)(862, 955)(865, 959)(867, 961)(869, 963)(871, 964)(875, 966)(876, 968)(877, 970)(879, 973)(883, 974)(887, 975)(889, 972)(894, 980)(896, 981)(902, 986)(903, 967)(905, 988)(908, 984)(909, 960)(914, 976)(915, 954)(916, 990)(918, 991)(923, 994)(925, 985)(926, 995)(929, 949)(931, 979)(934, 982)(935, 992)(936, 956)(939, 978)(940, 997)(941, 957)(942, 962)(943, 993)(944, 989)(946, 983)(951, 998)(952, 999)(958, 1002)(965, 1003)(969, 1005)(971, 1006)(977, 1000)(987, 1004)(996, 1007)(1001, 1008)(1009, 1010, 1013, 1019, 1029, 1028, 1018, 1012)(1011, 1015, 1023, 1035, 1053, 1039, 1025, 1016)(1014, 1021, 1033, 1049, 1074, 1052, 1034, 1022)(1017, 1026, 1040, 1060, 1085, 1057, 1037, 1024)(1020, 1031, 1047, 1070, 1103, 1073, 1048, 1032)(1027, 1042, 1063, 1093, 1134, 1092, 1062, 1041)(1030, 1045, 1068, 1099, 1145, 1102, 1069, 1046)(1036, 1055, 1082, 1119, 1173, 1122, 1083, 1056)(1038, 1058, 1086, 1125, 1162, 1111, 1076, 1050)(1043, 1065, 1096, 1139, 1200, 1138, 1095, 1064)(1044, 1066, 1097, 1141, 1203, 1144, 1098, 1067)(1051, 1077, 1112, 1163, 1220, 1153, 1105, 1071)(1054, 1080, 1117, 1169, 1243, 1172, 1118, 1081)(1059, 1088, 1128, 1185, 1264, 1184, 1127, 1087)(1061, 1090, 1131, 1189, 1271, 1192, 1132, 1091)(1072, 1106, 1154, 1221, 1302, 1211, 1147, 1100)(1075, 1109, 1159, 1227, 1325, 1230, 1160, 1110)(1078, 1114, 1166, 1237, 1338, 1236, 1165, 1113)(1079, 1115, 1167, 1239, 1341, 1242, 1168, 1116)(1084, 1123, 1178, 1255, 1358, 1251, 1175, 1120)(1089, 1129, 1187, 1267, 1380, 1270, 1188, 1130)(1094, 1136, 1197, 1281, 1400, 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1391, 1543, 1600, 1437, 1311, 1443, 1390)(1283, 1403, 1557, 1671, 1818, 1712, 1550, 1397)(1286, 1407, 1561, 1720, 1854, 1719, 1560, 1406)(1290, 1412, 1566, 1724, 1857, 1727, 1567, 1413)(1301, 1428, 1588, 1749, 1875, 1747, 1586, 1425)(1304, 1431, 1592, 1752, 1877, 1754, 1593, 1432)(1314, 1447, 1612, 1769, 1721, 1564, 1611, 1446)(1320, 1438, 1601, 1759, 1714, 1553, 1621, 1455)(1326, 1462, 1631, 1784, 1879, 1753, 1594, 1463)(1329, 1467, 1635, 1739, 1665, 1503, 1634, 1466)(1337, 1478, 1381, 1532, 1698, 1796, 1644, 1475)(1339, 1480, 1647, 1750, 1713, 1552, 1648, 1481)(1342, 1484, 1651, 1800, 1909, 1792, 1652, 1485)(1345, 1489, 1599, 1758, 1881, 1804, 1656, 1488)(1346, 1490, 1618, 1775, 1896, 1806, 1657, 1491)(1357, 1505, 1672, 1819, 1933, 1817, 1670, 1502)(1360, 1507, 1587, 1748, 1708, 1544, 1639, 1476)(1363, 1510, 1616, 1469, 1636, 1731, 1677, 1511)(1373, 1524, 1607, 1444, 1608, 1767, 1684, 1518)(1376, 1528, 1694, 1835, 1914, 1798, 1693, 1527)(1384, 1536, 1620, 1454, 1619, 1776, 1700, 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2003, 2015, 2016, 2013, 1988)
	L = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 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1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1773
Transitivity :: ET+
Graph:: simple bipartite
	v = 630 e = 1008 f = 336
	degree seq :: [ 2^504, 8^126 ]

E22.1771 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, T1^8, (T1 * T2 * T1^-2 * T2 * T1)^3, T1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1, T2 * T1^-4 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^4 ]
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, 244)(170, 247)(175, 250)(176, 254)(177, 256)(179, 259)(180, 260)(181, 263)(184, 265)(185, 267)(188, 268)(189, 272)(190, 253)(192, 275)(194, 276)(195, 279)(197, 280)(198, 284)(202, 286)(203, 290)(204, 293)(206, 287)(209, 299)(210, 300)(212, 303)(213, 304)(215, 305)(216, 308)(217, 310)(218, 311)(219, 314)(222, 317)(223, 318)(227, 320)(228, 323)(229, 325)(231, 328)(234, 331)(235, 332)(237, 333)(238, 337)(242, 339)(243, 343)(245, 340)(246, 346)(248, 347)(249, 350)(251, 319)(252, 354)(255, 357)(257, 358)(258, 361)(261, 364)(262, 365)(264, 366)(266, 336)(269, 355)(270, 374)(271, 377)(273, 351)(274, 380)(277, 381)(278, 342)(281, 385)(282, 389)(283, 392)(285, 386)(288, 398)(289, 399)(291, 402)(292, 403)(294, 404)(295, 407)(296, 409)(297, 410)(298, 413)(301, 415)(302, 416)(306, 420)(307, 422)(309, 425)(312, 428)(313, 429)(315, 430)(316, 433)(321, 417)(322, 438)(324, 440)(326, 441)(327, 443)(329, 444)(330, 448)(334, 450)(335, 454)(338, 451)(341, 461)(344, 464)(345, 466)(348, 469)(349, 471)(352, 474)(353, 477)(356, 480)(359, 481)(360, 483)(362, 484)(363, 487)(367, 489)(368, 492)(369, 490)(370, 456)(371, 455)(372, 497)(373, 499)(375, 501)(376, 502)(378, 503)(379, 486)(382, 462)(383, 509)(384, 458)(387, 514)(388, 515)(390, 517)(391, 518)(393, 519)(394, 522)(395, 524)(396, 525)(397, 528)(400, 530)(401, 531)(405, 535)(406, 537)(408, 540)(411, 543)(412, 544)(414, 545)(418, 532)(419, 551)(421, 553)(423, 554)(424, 556)(426, 557)(427, 561)(431, 563)(432, 567)(434, 564)(435, 570)(436, 571)(437, 573)(439, 576)(442, 577)(445, 579)(446, 566)(447, 584)(449, 580)(452, 590)(453, 591)(457, 596)(459, 598)(460, 601)(463, 603)(465, 605)(467, 604)(468, 608)(470, 610)(472, 611)(473, 614)(475, 616)(476, 617)(478, 618)(479, 560)(482, 623)(485, 625)(488, 626)(491, 634)(493, 636)(494, 637)(495, 638)(496, 640)(498, 642)(500, 644)(504, 647)(505, 630)(506, 629)(507, 651)(508, 653)(510, 654)(511, 656)(512, 657)(513, 660)(516, 662)(520, 666)(521, 668)(523, 670)(526, 673)(527, 674)(529, 675)(533, 663)(534, 681)(536, 683)(538, 684)(539, 686)(541, 687)(542, 690)(546, 692)(547, 696)(548, 693)(549, 699)(550, 700)(552, 703)(555, 704)(558, 706)(559, 695)(562, 707)(565, 715)(568, 719)(569, 720)(572, 723)(574, 724)(575, 689)(578, 729)(581, 716)(582, 734)(583, 712)(585, 676)(586, 737)(587, 739)(588, 740)(589, 665)(592, 742)(593, 701)(594, 743)(595, 745)(597, 664)(599, 749)(600, 725)(602, 750)(606, 752)(607, 754)(609, 756)(612, 757)(613, 759)(615, 761)(619, 661)(620, 710)(621, 671)(622, 765)(624, 766)(627, 717)(628, 769)(631, 772)(632, 773)(633, 763)(635, 708)(639, 777)(641, 778)(643, 780)(645, 781)(646, 714)(648, 733)(649, 738)(650, 784)(652, 786)(655, 789)(658, 792)(659, 793)(667, 797)(669, 799)(672, 802)(677, 805)(678, 804)(679, 808)(680, 809)(682, 810)(685, 811)(688, 813)(691, 814)(694, 819)(697, 820)(698, 821)(702, 801)(705, 826)(709, 830)(711, 833)(713, 834)(718, 836)(721, 838)(722, 840)(726, 816)(727, 790)(728, 843)(730, 844)(731, 846)(732, 847)(735, 850)(736, 851)(741, 854)(744, 855)(746, 856)(747, 858)(748, 860)(751, 862)(753, 823)(755, 859)(758, 867)(760, 869)(762, 870)(764, 872)(767, 791)(768, 875)(770, 849)(771, 878)(774, 880)(775, 841)(776, 881)(779, 882)(782, 886)(783, 887)(785, 824)(787, 889)(788, 891)(794, 894)(795, 896)(796, 897)(798, 898)(800, 900)(803, 901)(806, 903)(807, 904)(812, 908)(815, 912)(817, 914)(818, 915)(822, 917)(825, 920)(827, 921)(828, 923)(829, 924)(831, 926)(832, 927)(835, 929)(837, 930)(839, 906)(842, 934)(845, 938)(848, 922)(852, 941)(853, 942)(857, 944)(861, 946)(863, 913)(864, 931)(865, 939)(866, 949)(868, 933)(871, 907)(873, 905)(874, 916)(876, 952)(877, 940)(879, 928)(883, 950)(884, 932)(885, 945)(888, 956)(890, 947)(892, 957)(893, 958)(895, 959)(899, 962)(902, 965)(909, 967)(910, 969)(911, 970)(918, 961)(919, 972)(925, 968)(935, 960)(936, 966)(937, 977)(943, 980)(948, 982)(951, 963)(953, 979)(954, 975)(955, 981)(964, 990)(971, 989)(973, 988)(974, 994)(976, 986)(978, 995)(983, 987)(984, 996)(985, 993)(991, 999)(992, 1002)(997, 1003)(998, 1000)(1001, 1006)(1004, 1007)(1005, 1008)(1009, 1010, 1013, 1019, 1029, 1028, 1018, 1012)(1011, 1015, 1023, 1035, 1053, 1039, 1025, 1016)(1014, 1021, 1033, 1049, 1074, 1052, 1034, 1022)(1017, 1026, 1040, 1060, 1085, 1057, 1037, 1024)(1020, 1031, 1047, 1070, 1103, 1073, 1048, 1032)(1027, 1042, 1063, 1093, 1134, 1092, 1062, 1041)(1030, 1045, 1068, 1099, 1145, 1102, 1069, 1046)(1036, 1055, 1082, 1119, 1173, 1122, 1083, 1056)(1038, 1058, 1086, 1125, 1162, 1111, 1076, 1050)(1043, 1065, 1096, 1139, 1200, 1138, 1095, 1064)(1044, 1066, 1097, 1141, 1203, 1144, 1098, 1067)(1051, 1077, 1112, 1163, 1220, 1153, 1105, 1071)(1054, 1080, 1117, 1169, 1243, 1172, 1118, 1081)(1059, 1088, 1128, 1185, 1263, 1184, 1127, 1087)(1061, 1090, 1131, 1189, 1270, 1192, 1132, 1091)(1072, 1106, 1154, 1221, 1299, 1211, 1147, 1100)(1075, 1109, 1159, 1227, 1321, 1230, 1160, 1110)(1078, 1114, 1166, 1237, 1332, 1236, 1165, 1113)(1079, 1115, 1167, 1239, 1335, 1242, 1168, 1116)(1084, 1123, 1178, 1254, 1352, 1251, 1175, 1120)(1089, 1129, 1187, 1266, 1368, 1269, 1188, 1130)(1094, 1136, 1197, 1279, 1384, 1281, 1198, 1137)(1101, 1148, 1212, 1300, 1398, 1290, 1205, 1142)(1104, 1151, 1217, 1306, 1420, 1309, 1218, 1152)(1107, 1156, 1224, 1315, 1429, 1314, 1223, 1155)(1108, 1157, 1225, 1317, 1432, 1320, 1226, 1158)(1121, 1176, 1222, 1313, 1427, 1343, 1245, 1170)(1124, 1180, 1257, 1357, 1478, 1356, 1256, 1179)(1126, 1182, 1260, 1361, 1484, 1363, 1261, 1183)(1133, 1193, 1274, 1378, 1501, 1376, 1272, 1190)(1135, 1195, 1277, 1381, 1506, 1383, 1278, 1196)(1140, 1143, 1206, 1291, 1399, 1392, 1286, 1202)(1146, 1209, 1296, 1405, 1535, 1408, 1297, 1210)(1149, 1214, 1303, 1414, 1544, 1413, 1302, 1213)(1150, 1215, 1304, 1416, 1547, 1419, 1305, 1216)(1161, 1231, 1301, 1412, 1542, 1440, 1323, 1228)(1164, 1234, 1330, 1445, 1370, 1267, 1191, 1235)(1171, 1246, 1344, 1463, 1591, 1454, 1337, 1240)(1174, 1249, 1349, 1468, 1608, 1470, 1350, 1250)(1177, 1253, 1353, 1473, 1558, 1426, 1312, 1252)(1181, 1258, 1359, 1481, 1621, 1483, 1360, 1259)(1186, 1241, 1338, 1455, 1549, 1417, 1308, 1265)(1194, 1276, 1380, 1504, 1647, 1503, 1379, 1275)(1199, 1282, 1387, 1513, 1656, 1512, 1386, 1280)(1201, 1284, 1390, 1516, 1660, 1518, 1391, 1285)(1204, 1288, 1395, 1521, 1667, 1524, 1396, 1289)(1207, 1293, 1402, 1529, 1675, 1528, 1401, 1292)(1208, 1294, 1403, 1531, 1677, 1534, 1404, 1295)(1219, 1310, 1400, 1527, 1673, 1555, 1422, 1307)(1229, 1324, 1255, 1355, 1476, 1567, 1434, 1318)(1232, 1327, 1443, 1577, 1688, 1541, 1411, 1326)(1233, 1328, 1273, 1377, 1502, 1580, 1444, 1329)(1238, 1319, 1435, 1568, 1679, 1532, 1407, 1334)(1244, 1341, 1460, 1597, 1674, 1600, 1461, 1342)(1247, 1346, 1465, 1603, 1752, 1602, 1464, 1345)(1248, 1347, 1466, 1605, 1755, 1607, 1467, 1348)(1262, 1364, 1487, 1628, 1668, 1627, 1486, 1362)(1264, 1366, 1423, 1556, 1705, 1632, 1490, 1367)(1268, 1371, 1494, 1637, 1747, 1599, 1480, 1358)(1271, 1374, 1499, 1641, 1669, 1522, 1397, 1375)(1283, 1389, 1515, 1658, 1791, 1657, 1514, 1388)(1287, 1393, 1519, 1663, 1796, 1666, 1520, 1394)(1298, 1409, 1385, 1511, 1654, 1685, 1537, 1406)(1311, 1425, 1557, 1706, 1804, 1672, 1526, 1424)(1316, 1418, 1550, 1697, 1798, 1664, 1523, 1431)(1322, 1438, 1573, 1722, 1655, 1724, 1574, 1439)(1325, 1442, 1576, 1726, 1615, 1475, 1354, 1441)(1331, 1447, 1583, 1734, 1661, 1733, 1582, 1446)(1333, 1449, 1538, 1686, 1814, 1738, 1586, 1450)(1336, 1452, 1589, 1741, 1857, 1743, 1590, 1453)(1339, 1457, 1594, 1744, 1812, 1682, 1593, 1456)(1340, 1458, 1595, 1746, 1860, 1749, 1596, 1459)(1351, 1471, 1592, 1684, 1536, 1683, 1610, 1469)(1365, 1489, 1630, 1772, 1808, 1678, 1629, 1488)(1369, 1492, 1635, 1689, 1543, 1690, 1636, 1493)(1372, 1496, 1639, 1779, 1885, 1778, 1638, 1495)(1373, 1497, 1525, 1671, 1803, 1782, 1640, 1498)(1382, 1508, 1530, 1665, 1799, 1777, 1649, 1505)(1410, 1540, 1687, 1815, 1768, 1622, 1510, 1539)(1415, 1533, 1680, 1809, 1793, 1659, 1517, 1546)(1421, 1553, 1702, 1642, 1500, 1643, 1703, 1554)(1428, 1560, 1710, 1651, 1507, 1625, 1709, 1559)(1430, 1562, 1670, 1802, 1903, 1835, 1713, 1563)(1433, 1565, 1716, 1644, 1751, 1839, 1717, 1566)(1436, 1570, 1719, 1840, 1902, 1801, 1718, 1569)(1437, 1571, 1720, 1646, 1784, 1843, 1721, 1572)(1448, 1585, 1736, 1850, 1900, 1797, 1735, 1584)(1451, 1587, 1739, 1853, 1945, 1856, 1740, 1588)(1462, 1601, 1485, 1626, 1771, 1827, 1704, 1598)(1472, 1612, 1759, 1823, 1696, 1548, 1695, 1611)(1474, 1606, 1756, 1867, 1947, 1854, 1742, 1614)(1477, 1617, 1763, 1826, 1701, 1552, 1700, 1616)(1479, 1619, 1750, 1805, 1906, 1876, 1766, 1620)(1482, 1623, 1745, 1855, 1931, 1838, 1729, 1578)(1491, 1633, 1775, 1800, 1901, 1884, 1776, 1634)(1509, 1653, 1790, 1893, 1907, 1806, 1676, 1652)(1545, 1692, 1662, 1795, 1898, 1917, 1820, 1693)(1551, 1699, 1825, 1921, 1897, 1794, 1824, 1698)(1561, 1712, 1833, 1927, 1896, 1792, 1832, 1711)(1564, 1714, 1836, 1930, 1982, 1933, 1837, 1715)(1575, 1725, 1581, 1732, 1609, 1758, 1813, 1723)(1579, 1730, 1841, 1932, 1977, 1920, 1830, 1707)(1604, 1748, 1861, 1912, 1881, 1773, 1631, 1754)(1613, 1760, 1858, 1948, 1987, 1955, 1871, 1761)(1618, 1765, 1874, 1956, 1986, 1946, 1873, 1764)(1624, 1770, 1879, 1916, 1974, 1911, 1859, 1769)(1645, 1781, 1887, 1937, 1983, 1957, 1875, 1783)(1648, 1786, 1818, 1691, 1819, 1915, 1891, 1787)(1650, 1788, 1810, 1681, 1811, 1910, 1892, 1789)(1694, 1821, 1918, 1976, 2000, 1979, 1919, 1822)(1708, 1831, 1922, 1978, 1959, 1880, 1913, 1816)(1727, 1842, 1936, 1888, 1943, 1851, 1737, 1845)(1728, 1846, 1934, 1863, 1952, 1894, 1940, 1847)(1731, 1849, 1941, 1970, 1996, 1967, 1935, 1848)(1753, 1864, 1774, 1882, 1929, 1981, 1953, 1865)(1757, 1869, 1928, 1834, 1924, 1828, 1923, 1868)(1762, 1872, 1780, 1883, 1926, 1829, 1925, 1870)(1767, 1877, 1950, 1862, 1951, 1989, 1958, 1878)(1785, 1890, 1963, 1992, 2005, 1990, 1962, 1889)(1807, 1908, 1971, 1997, 2009, 1999, 1972, 1909)(1817, 1914, 1973, 1998, 1984, 1942, 1968, 1904)(1844, 1938, 1852, 1944, 1975, 1961, 1886, 1939)(1866, 1905, 1969, 1960, 1991, 2001, 1980, 1954)(1895, 1964, 1993, 2006, 2012, 2004, 1988, 1949)(1899, 1965, 1994, 2007, 2013, 2008, 1995, 1966)(1985, 2003, 2011, 2015, 2016, 2014, 2010, 2002)
	L = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 1108)(101, 1109)(102, 1110)(103, 1111)(104, 1112)(105, 1113)(106, 1114)(107, 1115)(108, 1116)(109, 1117)(110, 1118)(111, 1119)(112, 1120)(113, 1121)(114, 1122)(115, 1123)(116, 1124)(117, 1125)(118, 1126)(119, 1127)(120, 1128)(121, 1129)(122, 1130)(123, 1131)(124, 1132)(125, 1133)(126, 1134)(127, 1135)(128, 1136)(129, 1137)(130, 1138)(131, 1139)(132, 1140)(133, 1141)(134, 1142)(135, 1143)(136, 1144)(137, 1145)(138, 1146)(139, 1147)(140, 1148)(141, 1149)(142, 1150)(143, 1151)(144, 1152)(145, 1153)(146, 1154)(147, 1155)(148, 1156)(149, 1157)(150, 1158)(151, 1159)(152, 1160)(153, 1161)(154, 1162)(155, 1163)(156, 1164)(157, 1165)(158, 1166)(159, 1167)(160, 1168)(161, 1169)(162, 1170)(163, 1171)(164, 1172)(165, 1173)(166, 1174)(167, 1175)(168, 1176)(169, 1177)(170, 1178)(171, 1179)(172, 1180)(173, 1181)(174, 1182)(175, 1183)(176, 1184)(177, 1185)(178, 1186)(179, 1187)(180, 1188)(181, 1189)(182, 1190)(183, 1191)(184, 1192)(185, 1193)(186, 1194)(187, 1195)(188, 1196)(189, 1197)(190, 1198)(191, 1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 1290)(283, 1291)(284, 1292)(285, 1293)(286, 1294)(287, 1295)(288, 1296)(289, 1297)(290, 1298)(291, 1299)(292, 1300)(293, 1301)(294, 1302)(295, 1303)(296, 1304)(297, 1305)(298, 1306)(299, 1307)(300, 1308)(301, 1309)(302, 1310)(303, 1311)(304, 1312)(305, 1313)(306, 1314)(307, 1315)(308, 1316)(309, 1317)(310, 1318)(311, 1319)(312, 1320)(313, 1321)(314, 1322)(315, 1323)(316, 1324)(317, 1325)(318, 1326)(319, 1327)(320, 1328)(321, 1329)(322, 1330)(323, 1331)(324, 1332)(325, 1333)(326, 1334)(327, 1335)(328, 1336)(329, 1337)(330, 1338)(331, 1339)(332, 1340)(333, 1341)(334, 1342)(335, 1343)(336, 1344)(337, 1345)(338, 1346)(339, 1347)(340, 1348)(341, 1349)(342, 1350)(343, 1351)(344, 1352)(345, 1353)(346, 1354)(347, 1355)(348, 1356)(349, 1357)(350, 1358)(351, 1359)(352, 1360)(353, 1361)(354, 1362)(355, 1363)(356, 1364)(357, 1365)(358, 1366)(359, 1367)(360, 1368)(361, 1369)(362, 1370)(363, 1371)(364, 1372)(365, 1373)(366, 1374)(367, 1375)(368, 1376)(369, 1377)(370, 1378)(371, 1379)(372, 1380)(373, 1381)(374, 1382)(375, 1383)(376, 1384)(377, 1385)(378, 1386)(379, 1387)(380, 1388)(381, 1389)(382, 1390)(383, 1391)(384, 1392)(385, 1393)(386, 1394)(387, 1395)(388, 1396)(389, 1397)(390, 1398)(391, 1399)(392, 1400)(393, 1401)(394, 1402)(395, 1403)(396, 1404)(397, 1405)(398, 1406)(399, 1407)(400, 1408)(401, 1409)(402, 1410)(403, 1411)(404, 1412)(405, 1413)(406, 1414)(407, 1415)(408, 1416)(409, 1417)(410, 1418)(411, 1419)(412, 1420)(413, 1421)(414, 1422)(415, 1423)(416, 1424)(417, 1425)(418, 1426)(419, 1427)(420, 1428)(421, 1429)(422, 1430)(423, 1431)(424, 1432)(425, 1433)(426, 1434)(427, 1435)(428, 1436)(429, 1437)(430, 1438)(431, 1439)(432, 1440)(433, 1441)(434, 1442)(435, 1443)(436, 1444)(437, 1445)(438, 1446)(439, 1447)(440, 1448)(441, 1449)(442, 1450)(443, 1451)(444, 1452)(445, 1453)(446, 1454)(447, 1455)(448, 1456)(449, 1457)(450, 1458)(451, 1459)(452, 1460)(453, 1461)(454, 1462)(455, 1463)(456, 1464)(457, 1465)(458, 1466)(459, 1467)(460, 1468)(461, 1469)(462, 1470)(463, 1471)(464, 1472)(465, 1473)(466, 1474)(467, 1475)(468, 1476)(469, 1477)(470, 1478)(471, 1479)(472, 1480)(473, 1481)(474, 1482)(475, 1483)(476, 1484)(477, 1485)(478, 1486)(479, 1487)(480, 1488)(481, 1489)(482, 1490)(483, 1491)(484, 1492)(485, 1493)(486, 1494)(487, 1495)(488, 1496)(489, 1497)(490, 1498)(491, 1499)(492, 1500)(493, 1501)(494, 1502)(495, 1503)(496, 1504)(497, 1505)(498, 1506)(499, 1507)(500, 1508)(501, 1509)(502, 1510)(503, 1511)(504, 1512)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E22.1772
Transitivity :: ET+
Graph:: simple bipartite
	v = 630 e = 1008 f = 336
	degree seq :: [ 2^504, 8^126 ]

E22.1772 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^3, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2)^2 ]
Map::
	R = (1, 1009, 3, 1011, 4, 1012)(2, 1010, 5, 1013, 6, 1014)(7, 1015, 11, 1019, 12, 1020)(8, 1016, 13, 1021, 14, 1022)(9, 1017, 15, 1023, 16, 1024)(10, 1018, 17, 1025, 18, 1026)(19, 1027, 27, 1035, 28, 1036)(20, 1028, 29, 1037, 30, 1038)(21, 1029, 31, 1039, 32, 1040)(22, 1030, 33, 1041, 34, 1042)(23, 1031, 35, 1043, 36, 1044)(24, 1032, 37, 1045, 38, 1046)(25, 1033, 39, 1047, 40, 1048)(26, 1034, 41, 1049, 42, 1050)(43, 1051, 59, 1067, 60, 1068)(44, 1052, 61, 1069, 62, 1070)(45, 1053, 63, 1071, 64, 1072)(46, 1054, 65, 1073, 66, 1074)(47, 1055, 67, 1075, 68, 1076)(48, 1056, 69, 1077, 70, 1078)(49, 1057, 71, 1079, 72, 1080)(50, 1058, 73, 1081, 74, 1082)(51, 1059, 75, 1083, 76, 1084)(52, 1060, 77, 1085, 78, 1086)(53, 1061, 79, 1087, 80, 1088)(54, 1062, 81, 1089, 82, 1090)(55, 1063, 83, 1091, 84, 1092)(56, 1064, 85, 1093, 86, 1094)(57, 1065, 87, 1095, 88, 1096)(58, 1066, 89, 1097, 90, 1098)(91, 1099, 119, 1127, 120, 1128)(92, 1100, 121, 1129, 122, 1130)(93, 1101, 123, 1131, 124, 1132)(94, 1102, 125, 1133, 126, 1134)(95, 1103, 127, 1135, 128, 1136)(96, 1104, 129, 1137, 130, 1138)(97, 1105, 131, 1139, 98, 1106)(99, 1107, 132, 1140, 133, 1141)(100, 1108, 134, 1142, 135, 1143)(101, 1109, 136, 1144, 137, 1145)(102, 1110, 138, 1146, 139, 1147)(103, 1111, 140, 1148, 141, 1149)(104, 1112, 142, 1150, 143, 1151)(105, 1113, 144, 1152, 145, 1153)(106, 1114, 146, 1154, 147, 1155)(107, 1115, 148, 1156, 149, 1157)(108, 1116, 150, 1158, 151, 1159)(109, 1117, 152, 1160, 153, 1161)(110, 1118, 154, 1162, 155, 1163)(111, 1119, 156, 1164, 112, 1120)(113, 1121, 157, 1165, 158, 1166)(114, 1122, 159, 1167, 160, 1168)(115, 1123, 161, 1169, 162, 1170)(116, 1124, 163, 1171, 164, 1172)(117, 1125, 165, 1173, 166, 1174)(118, 1126, 167, 1175, 168, 1176)(169, 1177, 219, 1227, 220, 1228)(170, 1178, 221, 1229, 222, 1230)(171, 1179, 223, 1231, 224, 1232)(172, 1180, 225, 1233, 226, 1234)(173, 1181, 227, 1235, 228, 1236)(174, 1182, 229, 1237, 175, 1183)(176, 1184, 230, 1238, 231, 1239)(177, 1185, 232, 1240, 233, 1241)(178, 1186, 234, 1242, 235, 1243)(179, 1187, 236, 1244, 237, 1245)(180, 1188, 238, 1246, 239, 1247)(181, 1189, 240, 1248, 241, 1249)(182, 1190, 242, 1250, 243, 1251)(183, 1191, 244, 1252, 245, 1253)(184, 1192, 246, 1254, 247, 1255)(185, 1193, 248, 1256, 249, 1257)(186, 1194, 250, 1258, 251, 1259)(187, 1195, 252, 1260, 188, 1196)(189, 1197, 253, 1261, 254, 1262)(190, 1198, 255, 1263, 256, 1264)(191, 1199, 257, 1265, 258, 1266)(192, 1200, 259, 1267, 260, 1268)(193, 1201, 261, 1269, 262, 1270)(194, 1202, 415, 1423, 856, 1864)(195, 1203, 417, 1425, 464, 1472)(196, 1204, 418, 1426, 861, 1869)(197, 1205, 420, 1428, 398, 1406)(198, 1206, 396, 1404, 569, 1577)(199, 1207, 422, 1430, 200, 1208)(201, 1209, 424, 1432, 492, 1500)(202, 1210, 425, 1433, 870, 1878)(203, 1211, 427, 1435, 873, 1881)(204, 1212, 429, 1437, 485, 1493)(205, 1213, 431, 1439, 701, 1709)(206, 1214, 433, 1441, 879, 1887)(207, 1215, 435, 1443, 480, 1488)(208, 1216, 436, 1444, 883, 1891)(209, 1217, 438, 1446, 503, 1511)(210, 1218, 401, 1409, 836, 1844)(211, 1219, 414, 1422, 667, 1675)(212, 1220, 441, 1449, 213, 1221)(214, 1222, 443, 1451, 498, 1506)(215, 1223, 445, 1453, 753, 1761)(216, 1224, 447, 1455, 451, 1459)(217, 1225, 448, 1456, 896, 1904)(218, 1226, 450, 1458, 494, 1502)(263, 1271, 510, 1518, 512, 1520)(264, 1272, 513, 1521, 515, 1523)(265, 1273, 516, 1524, 518, 1526)(266, 1274, 520, 1528, 522, 1530)(267, 1275, 504, 1512, 524, 1532)(268, 1276, 526, 1534, 528, 1536)(269, 1277, 529, 1537, 531, 1539)(270, 1278, 532, 1540, 533, 1541)(271, 1279, 535, 1543, 537, 1545)(272, 1280, 475, 1483, 539, 1547)(273, 1281, 541, 1549, 543, 1551)(274, 1282, 545, 1553, 547, 1555)(275, 1283, 548, 1556, 550, 1558)(276, 1284, 552, 1560, 554, 1562)(277, 1285, 556, 1564, 557, 1565)(278, 1286, 559, 1567, 560, 1568)(279, 1287, 562, 1570, 564, 1572)(280, 1288, 566, 1574, 465, 1473)(281, 1289, 440, 1448, 568, 1576)(282, 1290, 570, 1578, 572, 1580)(283, 1291, 574, 1582, 576, 1584)(284, 1292, 577, 1585, 578, 1586)(285, 1293, 434, 1442, 581, 1589)(286, 1294, 583, 1591, 585, 1593)(287, 1295, 409, 1417, 587, 1595)(288, 1296, 588, 1596, 590, 1598)(289, 1297, 592, 1600, 594, 1602)(290, 1298, 595, 1603, 596, 1604)(291, 1299, 406, 1414, 599, 1607)(292, 1300, 601, 1609, 603, 1611)(293, 1301, 605, 1613, 607, 1615)(294, 1302, 608, 1616, 389, 1397)(295, 1303, 610, 1618, 495, 1503)(296, 1304, 612, 1620, 614, 1622)(297, 1305, 615, 1623, 474, 1482)(298, 1306, 617, 1625, 384, 1392)(299, 1307, 619, 1627, 621, 1629)(300, 1308, 622, 1630, 368, 1376)(301, 1309, 624, 1632, 625, 1633)(302, 1310, 627, 1635, 628, 1636)(303, 1311, 629, 1637, 630, 1638)(304, 1312, 632, 1640, 363, 1371)(305, 1313, 346, 1354, 634, 1642)(306, 1314, 635, 1643, 626, 1634)(307, 1315, 637, 1645, 639, 1647)(308, 1316, 455, 1463, 641, 1649)(309, 1317, 642, 1650, 643, 1651)(310, 1318, 342, 1350, 646, 1654)(311, 1319, 648, 1656, 650, 1658)(312, 1320, 399, 1407, 652, 1660)(313, 1321, 653, 1661, 655, 1663)(314, 1322, 486, 1494, 623, 1631)(315, 1323, 657, 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1924)(656, 1664, 817, 1825, 975, 1983)(659, 1667, 985, 1993, 841, 1849)(661, 1669, 869, 1877, 912, 1920)(663, 1671, 729, 1737, 828, 1836)(671, 1679, 747, 1755, 772, 1780)(680, 1688, 974, 1982, 765, 1773)(684, 1692, 988, 1996, 763, 1771)(687, 1695, 783, 1791, 980, 1988)(689, 1697, 780, 1788, 973, 1981)(722, 1730, 842, 1850, 849, 1857)(726, 1734, 816, 1824, 876, 1884)(727, 1735, 921, 1929, 960, 1968)(730, 1738, 891, 1899, 1004, 2012)(732, 1740, 744, 1752, 855, 1863)(734, 1742, 851, 1859, 835, 1843)(743, 1751, 833, 1841, 843, 1851)(755, 1763, 949, 1957, 789, 1797)(759, 1767, 964, 1972, 787, 1795)(796, 1804, 930, 1938, 900, 1908)(799, 1807, 1006, 2014, 1005, 2013)(800, 1808, 924, 1932, 823, 1831)(804, 1812, 953, 1961, 821, 1829)(829, 1837, 863, 1871, 978, 1986)(831, 1839, 1007, 2015, 885, 1893)(838, 1846, 902, 1910, 1003, 2011)(847, 1855, 880, 1888, 943, 1951)(860, 1868, 925, 1933, 905, 1913)(862, 1870, 927, 1935, 882, 1890)(899, 1907, 945, 1953, 932, 1940)(919, 1927, 1008, 2016, 999, 2007)
	L = (1, 1010)(2, 1009)(3, 1015)(4, 1016)(5, 1017)(6, 1018)(7, 1011)(8, 1012)(9, 1013)(10, 1014)(11, 1027)(12, 1028)(13, 1029)(14, 1030)(15, 1031)(16, 1032)(17, 1033)(18, 1034)(19, 1019)(20, 1020)(21, 1021)(22, 1022)(23, 1023)(24, 1024)(25, 1025)(26, 1026)(27, 1051)(28, 1052)(29, 1053)(30, 1054)(31, 1055)(32, 1056)(33, 1057)(34, 1058)(35, 1059)(36, 1060)(37, 1061)(38, 1062)(39, 1063)(40, 1064)(41, 1065)(42, 1066)(43, 1035)(44, 1036)(45, 1037)(46, 1038)(47, 1039)(48, 1040)(49, 1041)(50, 1042)(51, 1043)(52, 1044)(53, 1045)(54, 1046)(55, 1047)(56, 1048)(57, 1049)(58, 1050)(59, 1098)(60, 1099)(61, 1100)(62, 1101)(63, 1102)(64, 1103)(65, 1104)(66, 1105)(67, 1106)(68, 1107)(69, 1108)(70, 1109)(71, 1110)(72, 1111)(73, 1112)(74, 1083)(75, 1082)(76, 1113)(77, 1114)(78, 1115)(79, 1116)(80, 1117)(81, 1118)(82, 1119)(83, 1120)(84, 1121)(85, 1122)(86, 1123)(87, 1124)(88, 1125)(89, 1126)(90, 1067)(91, 1068)(92, 1069)(93, 1070)(94, 1071)(95, 1072)(96, 1073)(97, 1074)(98, 1075)(99, 1076)(100, 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1525)(374, 1727)(375, 1546)(376, 1518)(377, 1601)(378, 1264)(379, 1808)(380, 1812)(381, 1807)(382, 1630)(383, 1522)(384, 1779)(385, 1818)(386, 1597)(387, 1540)(388, 1610)(389, 1824)(390, 1825)(391, 1827)(392, 1784)(393, 1637)(394, 1531)(395, 1260)(396, 1235)(397, 1270)(398, 1735)(399, 1838)(400, 1839)(401, 1843)(402, 1758)(403, 1248)(404, 1589)(405, 1849)(406, 1851)(407, 1258)(408, 1837)(409, 1854)(410, 1855)(411, 1859)(412, 1783)(413, 1558)(414, 1445)(415, 1271)(416, 1449)(417, 1867)(418, 1329)(419, 1502)(420, 1857)(421, 1872)(422, 1340)(423, 1874)(424, 1747)(425, 1308)(426, 1805)(427, 1728)(428, 1441)(429, 1283)(430, 1607)(431, 1884)(432, 1507)(433, 1436)(434, 1889)(435, 1278)(436, 1245)(437, 1422)(438, 1335)(439, 1470)(440, 1848)(441, 1424)(442, 1489)(443, 1621)(444, 1900)(445, 1311)(446, 1822)(447, 1886)(448, 1273)(449, 1547)(450, 1906)(451, 1524)(452, 1228)(453, 1646)(454, 1229)(455, 1230)(456, 1890)(457, 1232)(458, 1913)(459, 1233)(460, 1249)(461, 1234)(462, 1447)(463, 1687)(464, 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1836)(647, 1319)(648, 1705)(649, 1480)(650, 1789)(651, 1320)(652, 1820)(653, 1541)(654, 1492)(655, 2012)(656, 1911)(657, 1866)(658, 2008)(659, 1324)(660, 1852)(661, 1325)(662, 1719)(663, 1509)(664, 1689)(665, 1326)(666, 1994)(667, 1327)(668, 1919)(669, 1943)(670, 1473)(671, 1769)(672, 1937)(673, 1766)(674, 1357)(675, 1487)(676, 1985)(677, 1331)(678, 1334)(679, 1471)(680, 1332)(681, 1672)(682, 2009)(683, 1782)(684, 1333)(685, 1780)(686, 1539)(687, 1935)(688, 1944)(689, 1933)(690, 1835)(691, 1925)(692, 1337)(693, 1894)(694, 1338)(695, 1741)(696, 2013)(697, 1656)(698, 1339)(699, 1969)(700, 1832)(701, 1341)(702, 1977)(703, 1534)(704, 1342)(705, 1488)(706, 1875)(707, 1343)(708, 1344)(709, 1842)(710, 1896)(711, 1670)(712, 1345)(713, 1501)(714, 1987)(715, 1936)(716, 1991)(717, 1543)(718, 1348)(719, 1382)(720, 1435)(721, 1349)(722, 1350)(723, 1916)(724, 1798)(725, 1941)(726, 1353)(727, 1406)(728, 1841)(729, 1354)(730, 1355)(731, 1876)(732, 1853)(733, 1703)(734, 1356)(735, 1863)(736, 1918)(737, 1888)(738, 2002)(739, 1432)(740, 1553)(741, 1359)(742, 1361)(743, 1844)(744, 1360)(745, 1814)(746, 1503)(747, 1793)(748, 1803)(749, 1790)(750, 1410)(751, 1517)(752, 1970)(753, 1365)(754, 1368)(755, 1366)(756, 1611)(757, 2001)(758, 1681)(759, 1367)(760, 1978)(761, 1679)(762, 1869)(763, 1800)(764, 1819)(765, 1953)(766, 1887)(767, 1946)(768, 1371)(769, 1372)(770, 1815)(771, 1392)(772, 1693)(773, 1833)(774, 1691)(775, 1420)(776, 1400)(777, 1967)(778, 1376)(779, 1379)(780, 1377)(781, 1658)(782, 1757)(783, 1378)(784, 1992)(785, 1755)(786, 1523)(787, 1831)(788, 1922)(789, 1829)(790, 1732)(791, 1821)(792, 1771)(793, 1633)(794, 1515)(795, 1756)(796, 1826)(797, 1434)(798, 1959)(799, 1389)(800, 1387)(801, 1593)(802, 1990)(803, 1648)(804, 1388)(805, 1965)(806, 1753)(807, 1778)(808, 1954)(809, 1993)(810, 1393)(811, 1772)(812, 1660)(813, 1799)(814, 1454)(815, 1958)(816, 1397)(817, 1398)(818, 1804)(819, 1399)(820, 1520)(821, 1797)(822, 1920)(823, 1795)(824, 1708)(825, 1781)(826, 1942)(827, 1698)(828, 1654)(829, 1416)(830, 1407)(831, 1408)(832, 2006)(833, 1736)(834, 1717)(835, 1409)(836, 1751)(837, 1899)(838, 1532)(839, 2014)(840, 1448)(841, 1413)(842, 1860)(843, 1414)(844, 1668)(845, 1740)(846, 1417)(847, 1418)(848, 1983)(849, 1428)(850, 1627)(851, 1419)(852, 1850)(853, 2015)(854, 1585)(855, 1743)(856, 1895)(857, 1976)(858, 1665)(859, 1425)(860, 1551)(861, 1770)(862, 1947)(863, 1511)(864, 1429)(865, 1484)(866, 1431)(867, 1714)(868, 1739)(869, 1980)(870, 1892)(871, 1570)(872, 1505)(873, 1556)(874, 1526)(875, 1948)(876, 1439)(877, 1901)(878, 1455)(879, 1774)(880, 1745)(881, 1442)(882, 1464)(883, 1571)(884, 1878)(885, 1602)(886, 1701)(887, 1864)(888, 1718)(889, 1981)(890, 1613)(891, 1845)(892, 1452)(893, 1885)(894, 1574)(895, 1495)(896, 2016)(897, 1603)(898, 1458)(899, 1536)(900, 1930)(901, 1562)(902, 1998)(903, 1664)(904, 1934)(905, 1466)(906, 1956)(907, 1638)(908, 1731)(909, 1578)(910, 1744)(911, 1676)(912, 1830)(913, 1475)(914, 1796)(915, 1614)(916, 1595)(917, 1699)(918, 1932)(919, 1500)(920, 1964)(921, 1482)(922, 1908)(923, 1485)(924, 1926)(925, 1697)(926, 1912)(927, 1695)(928, 1723)(929, 1680)(930, 1950)(931, 1584)(932, 1497)(933, 1733)(934, 1834)(935, 1677)(936, 1696)(937, 1642)(938, 1775)(939, 1870)(940, 1883)(941, 1513)(942, 1938)(943, 1647)(944, 1530)(945, 1773)(946, 1816)(947, 1957)(948, 1914)(949, 1955)(950, 1823)(951, 1806)(952, 1618)(953, 1545)(954, 1982)(955, 1620)(956, 1928)(957, 1813)(958, 1625)(959, 1785)(960, 1596)(961, 1707)(962, 1760)(963, 1632)(964, 1555)(965, 1984)(966, 1635)(967, 2010)(968, 1865)(969, 1710)(970, 1768)(971, 1640)(972, 1877)(973, 1897)(974, 1962)(975, 1856)(976, 1973)(977, 1684)(978, 1643)(979, 1722)(980, 1576)(981, 2000)(982, 1810)(983, 1724)(984, 1792)(985, 1817)(986, 1674)(987, 2005)(988, 1586)(989, 2003)(990, 1910)(991, 1651)(992, 1989)(993, 1765)(994, 1746)(995, 1997)(996, 1604)(997, 1995)(998, 1840)(999, 1628)(1000, 1666)(1001, 1690)(1002, 1975)(1003, 1650)(1004, 1663)(1005, 1704)(1006, 1847)(1007, 1861)(1008, 1904)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1771
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 336 e = 1008 f = 630
	degree seq :: [ 6^336 ]

E22.1773 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 1009, 3, 1011, 4, 1012)(2, 1010, 5, 1013, 6, 1014)(7, 1015, 11, 1019, 12, 1020)(8, 1016, 13, 1021, 14, 1022)(9, 1017, 15, 1023, 16, 1024)(10, 1018, 17, 1025, 18, 1026)(19, 1027, 27, 1035, 28, 1036)(20, 1028, 29, 1037, 30, 1038)(21, 1029, 31, 1039, 32, 1040)(22, 1030, 33, 1041, 34, 1042)(23, 1031, 35, 1043, 36, 1044)(24, 1032, 37, 1045, 38, 1046)(25, 1033, 39, 1047, 40, 1048)(26, 1034, 41, 1049, 42, 1050)(43, 1051, 59, 1067, 60, 1068)(44, 1052, 61, 1069, 62, 1070)(45, 1053, 63, 1071, 64, 1072)(46, 1054, 65, 1073, 66, 1074)(47, 1055, 67, 1075, 68, 1076)(48, 1056, 69, 1077, 70, 1078)(49, 1057, 71, 1079, 72, 1080)(50, 1058, 73, 1081, 74, 1082)(51, 1059, 75, 1083, 76, 1084)(52, 1060, 77, 1085, 78, 1086)(53, 1061, 79, 1087, 80, 1088)(54, 1062, 81, 1089, 82, 1090)(55, 1063, 83, 1091, 84, 1092)(56, 1064, 85, 1093, 86, 1094)(57, 1065, 87, 1095, 88, 1096)(58, 1066, 89, 1097, 90, 1098)(91, 1099, 119, 1127, 120, 1128)(92, 1100, 121, 1129, 122, 1130)(93, 1101, 123, 1131, 124, 1132)(94, 1102, 125, 1133, 126, 1134)(95, 1103, 127, 1135, 128, 1136)(96, 1104, 129, 1137, 130, 1138)(97, 1105, 131, 1139, 98, 1106)(99, 1107, 132, 1140, 133, 1141)(100, 1108, 134, 1142, 135, 1143)(101, 1109, 136, 1144, 137, 1145)(102, 1110, 138, 1146, 139, 1147)(103, 1111, 140, 1148, 141, 1149)(104, 1112, 142, 1150, 143, 1151)(105, 1113, 144, 1152, 145, 1153)(106, 1114, 146, 1154, 147, 1155)(107, 1115, 148, 1156, 149, 1157)(108, 1116, 150, 1158, 151, 1159)(109, 1117, 152, 1160, 153, 1161)(110, 1118, 154, 1162, 155, 1163)(111, 1119, 156, 1164, 112, 1120)(113, 1121, 157, 1165, 158, 1166)(114, 1122, 159, 1167, 160, 1168)(115, 1123, 161, 1169, 162, 1170)(116, 1124, 163, 1171, 164, 1172)(117, 1125, 165, 1173, 166, 1174)(118, 1126, 167, 1175, 168, 1176)(169, 1177, 219, 1227, 220, 1228)(170, 1178, 221, 1229, 222, 1230)(171, 1179, 223, 1231, 224, 1232)(172, 1180, 225, 1233, 226, 1234)(173, 1181, 227, 1235, 228, 1236)(174, 1182, 229, 1237, 175, 1183)(176, 1184, 230, 1238, 231, 1239)(177, 1185, 232, 1240, 233, 1241)(178, 1186, 234, 1242, 235, 1243)(179, 1187, 236, 1244, 237, 1245)(180, 1188, 238, 1246, 239, 1247)(181, 1189, 240, 1248, 241, 1249)(182, 1190, 242, 1250, 243, 1251)(183, 1191, 244, 1252, 245, 1253)(184, 1192, 246, 1254, 247, 1255)(185, 1193, 248, 1256, 249, 1257)(186, 1194, 250, 1258, 251, 1259)(187, 1195, 252, 1260, 188, 1196)(189, 1197, 253, 1261, 254, 1262)(190, 1198, 255, 1263, 256, 1264)(191, 1199, 257, 1265, 258, 1266)(192, 1200, 259, 1267, 260, 1268)(193, 1201, 261, 1269, 262, 1270)(194, 1202, 407, 1415, 795, 1803)(195, 1203, 409, 1417, 418, 1426)(196, 1204, 410, 1418, 803, 1811)(197, 1205, 412, 1420, 612, 1620)(198, 1206, 414, 1422, 705, 1713)(199, 1207, 416, 1424, 200, 1208)(201, 1209, 338, 1346, 680, 1688)(202, 1210, 420, 1428, 816, 1824)(203, 1211, 422, 1430, 303, 1311)(204, 1212, 424, 1432, 823, 1831)(205, 1213, 426, 1434, 530, 1538)(206, 1214, 428, 1436, 794, 1802)(207, 1215, 430, 1438, 828, 1836)(208, 1216, 432, 1440, 440, 1448)(209, 1217, 433, 1441, 836, 1844)(210, 1218, 435, 1443, 618, 1626)(211, 1219, 437, 1445, 598, 1606)(212, 1220, 370, 1378, 213, 1221)(214, 1222, 421, 1429, 820, 1828)(215, 1223, 442, 1450, 368, 1376)(216, 1224, 443, 1451, 275, 1283)(217, 1225, 445, 1453, 851, 1859)(218, 1226, 447, 1455, 513, 1521)(263, 1271, 454, 1462, 514, 1522)(264, 1272, 515, 1523, 516, 1524)(265, 1273, 487, 1495, 518, 1526)(266, 1274, 465, 1473, 453, 1461)(267, 1275, 521, 1529, 522, 1530)(268, 1276, 524, 1532, 525, 1533)(269, 1277, 512, 1520, 527, 1535)(270, 1278, 529, 1537, 531, 1539)(271, 1279, 498, 1506, 486, 1494)(272, 1280, 381, 1389, 375, 1383)(273, 1281, 537, 1545, 539, 1547)(274, 1282, 363, 1371, 357, 1365)(276, 1284, 544, 1552, 546, 1554)(277, 1285, 479, 1487, 548, 1556)(278, 1286, 550, 1558, 552, 1560)(279, 1287, 554, 1562, 556, 1564)(280, 1288, 558, 1566, 559, 1567)(281, 1289, 561, 1569, 563, 1571)(282, 1290, 565, 1573, 567, 1575)(283, 1291, 475, 1483, 327, 1335)(284, 1292, 320, 1328, 367, 1375)(285, 1293, 572, 1580, 574, 1582)(286, 1294, 508, 1516, 360, 1368)(287, 1295, 330, 1338, 324, 1332)(288, 1296, 579, 1587, 581, 1589)(289, 1297, 507, 1515, 315, 1323)(290, 1298, 308, 1316, 385, 1393)(291, 1299, 586, 1594, 588, 1596)(292, 1300, 542, 1550, 378, 1386)(293, 1301, 318, 1326, 312, 1320)(294, 1302, 592, 1600, 594, 1602)(295, 1303, 596, 1604, 597, 1605)(296, 1304, 599, 1607, 562, 1570)(297, 1305, 602, 1610, 580, 1588)(298, 1306, 604, 1612, 605, 1613)(299, 1307, 591, 1599, 600, 1608)(300, 1308, 607, 1615, 609, 1617)(301, 1309, 611, 1619, 456, 1464)(302, 1310, 613, 1621, 551, 1559)(304, 1312, 616, 1624, 566, 1574)(305, 1313, 617, 1625, 619, 1627)(306, 1314, 577, 1585, 614, 1622)(307, 1315, 584, 1592, 622, 1630)(309, 1317, 314, 1322, 474, 1482)(310, 1318, 628, 1636, 630, 1638)(311, 1319, 547, 1555, 459, 1467)(313, 1321, 626, 1634, 634, 1642)(316, 1324, 639, 1647, 641, 1649)(317, 1325, 526, 1534, 492, 1500)(319, 1327, 570, 1578, 645, 1653)(321, 1329, 326, 1334, 647, 1655)(322, 1330, 649, 1657, 651, 1659)(323, 1331, 557, 1565, 653, 1661)(325, 1333, 478, 1486, 655, 1663)(328, 1336, 659, 1667, 661, 1669)(329, 1337, 520, 1528, 662, 1670)(331, 1339, 663, 1671, 665, 1673)(332, 1340, 667, 1675, 489, 1497)(333, 1341, 460, 1468, 669, 1677)(334, 1342, 671, 1679, 573, 1581)(335, 1343, 672, 1680, 674, 1682)(336, 1344, 541, 1549, 427, 1435)(337, 1345, 676, 1684, 678, 1686)(339, 1347, 646, 1654, 545, 1553)(340, 1348, 493, 1501, 682, 1690)(341, 1349, 439, 1447, 538, 1546)(342, 1350, 684, 1692, 686, 1694)(343, 1351, 687, 1695, 689, 1697)(344, 1352, 691, 1699, 693, 1701)(345, 1353, 694, 1702, 695, 1703)(346, 1354, 697, 1705, 587, 1595)(347, 1355, 699, 1707, 701, 1709)(348, 1356, 535, 1543, 396, 1404)(349, 1357, 703, 1711, 505, 1513)(350, 1358, 624, 1632, 555, 1563)(351, 1359, 503, 1511, 706, 1714)(352, 1360, 402, 1410, 533, 1541)(353, 1361, 708, 1716, 710, 1718)(354, 1362, 359, 1367, 711, 1719)(355, 1363, 713, 1721, 715, 1723)(356, 1364, 595, 1603, 717, 1725)(358, 1366, 511, 1519, 719, 1727)(361, 1369, 722, 1730, 723, 1731)(362, 1370, 523, 1531, 724, 1732)(364, 1372, 369, 1377, 725, 1733)(365, 1373, 726, 1734, 425, 1433)(366, 1374, 419, 1427, 729, 1737)(371, 1379, 734, 1742, 736, 1744)(372, 1380, 377, 1385, 738, 1746)(373, 1381, 740, 1748, 742, 1750)(374, 1382, 610, 1618, 744, 1752)(376, 1384, 737, 1745, 746, 1754)(379, 1387, 749, 1757, 750, 1758)(380, 1388, 528, 1536, 751, 1759)(382, 1390, 386, 1394, 753, 1761)(383, 1391, 754, 1762, 395, 1403)(384, 1392, 393, 1401, 757, 1765)(387, 1395, 457, 1465, 761, 1769)(388, 1396, 763, 1771, 765, 1773)(389, 1397, 766, 1774, 767, 1775)(390, 1398, 769, 1777, 629, 1637)(391, 1399, 772, 1780, 733, 1741)(392, 1400, 519, 1527, 406, 1414)(394, 1402, 636, 1644, 593, 1601)(397, 1405, 776, 1784, 778, 1786)(398, 1406, 780, 1788, 782, 1790)(399, 1407, 783, 1791, 784, 1792)(400, 1408, 786, 1794, 640, 1648)(401, 1409, 789, 1797, 658, 1666)(403, 1411, 790, 1798, 472, 1480)(404, 1412, 582, 1590, 603, 1611)(405, 1413, 470, 1478, 793, 1801)(408, 1416, 799, 1807, 801, 1809)(411, 1419, 805, 1813, 806, 1814)(413, 1421, 809, 1817, 650, 1658)(415, 1423, 775, 1783, 497, 1505)(417, 1425, 517, 1525, 448, 1456)(423, 1431, 657, 1665, 608, 1616)(429, 1437, 825, 1833, 827, 1835)(431, 1439, 832, 1840, 834, 1842)(434, 1442, 837, 1845, 785, 1793)(436, 1444, 839, 1847, 660, 1668)(438, 1446, 843, 1851, 637, 1645)(441, 1449, 844, 1852, 846, 1854)(444, 1452, 568, 1576, 468, 1476)(446, 1454, 817, 1825, 852, 1860)(449, 1457, 838, 1846, 855, 1863)(450, 1458, 856, 1864, 668, 1676)(451, 1459, 666, 1674, 860, 1868)(452, 1460, 861, 1869, 774, 1782)(455, 1463, 760, 1768, 863, 1871)(458, 1466, 866, 1874, 868, 1876)(461, 1469, 623, 1631, 810, 1818)(462, 1470, 808, 1816, 870, 1878)(463, 1471, 543, 1551, 872, 1880)(464, 1472, 873, 1881, 707, 1715)(466, 1474, 871, 1879, 876, 1884)(467, 1475, 477, 1485, 877, 1885)(469, 1477, 532, 1540, 878, 1886)(471, 1479, 880, 1888, 673, 1681)(473, 1481, 884, 1892, 606, 1614)(476, 1484, 867, 1875, 886, 1894)(480, 1488, 631, 1639, 891, 1899)(481, 1489, 490, 1498, 892, 1900)(482, 1490, 894, 1902, 896, 1904)(483, 1491, 897, 1905, 681, 1689)(484, 1492, 679, 1687, 900, 1908)(485, 1493, 901, 1909, 792, 1800)(488, 1496, 802, 1810, 903, 1911)(491, 1499, 907, 1915, 796, 1804)(494, 1502, 635, 1643, 858, 1866)(495, 1503, 910, 1918, 911, 1919)(496, 1504, 549, 1557, 849, 1857)(499, 1507, 912, 1920, 758, 1766)(500, 1508, 510, 1518, 798, 1806)(501, 1509, 889, 1897, 575, 1583)(502, 1510, 534, 1542, 917, 1925)(504, 1512, 919, 1927, 685, 1693)(506, 1514, 921, 1929, 560, 1568)(509, 1517, 908, 1916, 800, 1808)(536, 1544, 933, 1941, 815, 1823)(540, 1548, 935, 1943, 847, 1855)(553, 1561, 928, 1936, 932, 1940)(564, 1572, 939, 1947, 941, 1949)(569, 1577, 943, 1951, 944, 1952)(571, 1579, 945, 1953, 946, 1954)(576, 1584, 948, 1956, 949, 1957)(578, 1586, 950, 1958, 874, 1882)(583, 1591, 885, 1893, 952, 1960)(585, 1593, 953, 1961, 954, 1962)(589, 1597, 698, 1706, 938, 1946)(590, 1598, 882, 1890, 955, 1963)(601, 1609, 926, 1934, 931, 1939)(615, 1623, 925, 1933, 934, 1942)(620, 1628, 822, 1830, 937, 1945)(621, 1629, 959, 1967, 913, 1921)(625, 1633, 922, 1930, 951, 1959)(627, 1635, 960, 1968, 961, 1969)(632, 1640, 770, 1778, 811, 1819)(633, 1641, 963, 1971, 826, 1834)(638, 1646, 964, 1972, 965, 1973)(642, 1650, 787, 1795, 956, 1964)(643, 1651, 840, 1848, 958, 1966)(644, 1652, 966, 1974, 936, 1944)(648, 1656, 967, 1975, 968, 1976)(652, 1660, 969, 1977, 824, 1832)(654, 1662, 906, 1914, 777, 1785)(656, 1664, 972, 1980, 841, 1849)(664, 1672, 745, 1753, 721, 1729)(670, 1678, 927, 1935, 942, 1950)(675, 1683, 974, 1982, 930, 1938)(677, 1685, 848, 1856, 732, 1740)(683, 1691, 813, 1821, 947, 1955)(688, 1696, 718, 1726, 748, 1756)(690, 1698, 909, 1917, 859, 1867)(692, 1700, 976, 1984, 977, 1985)(696, 1704, 862, 1870, 916, 1924)(700, 1708, 978, 1986, 979, 1987)(702, 1710, 881, 1889, 929, 1937)(704, 1712, 918, 1926, 759, 1767)(709, 1717, 730, 1738, 865, 1873)(712, 1720, 980, 1988, 981, 1989)(714, 1722, 857, 1865, 904, 1912)(716, 1724, 831, 1839, 983, 1991)(720, 1728, 984, 1992, 985, 1993)(727, 1735, 898, 1906, 814, 1822)(728, 1736, 971, 1979, 812, 1820)(731, 1739, 819, 1827, 987, 1995)(735, 1743, 920, 1928, 804, 1812)(739, 1747, 853, 1861, 893, 1901)(741, 1749, 988, 1996, 957, 1965)(743, 1751, 779, 1787, 869, 1877)(747, 1755, 923, 1931, 989, 1997)(752, 1760, 768, 1776, 902, 1910)(755, 1763, 888, 1896, 773, 1781)(756, 1764, 962, 1970, 771, 1779)(762, 1770, 821, 1829, 899, 1907)(764, 1772, 991, 1999, 992, 2000)(781, 1789, 994, 2002, 995, 2003)(788, 1796, 883, 1891, 797, 1805)(791, 1799, 879, 1887, 924, 1932)(807, 1815, 997, 2005, 970, 1978)(818, 1826, 864, 1872, 845, 1853)(829, 1837, 1005, 2013, 1006, 2014)(830, 1838, 915, 1923, 875, 1883)(833, 1841, 914, 1922, 996, 2004)(835, 1843, 940, 1948, 850, 1858)(842, 1850, 973, 1981, 854, 1862)(887, 1895, 1007, 2015, 905, 1913)(890, 1898, 993, 2001, 990, 1998)(895, 1903, 1002, 2010, 975, 1983)(982, 1990, 1000, 2008, 1008, 2016)(986, 1994, 1003, 2011, 1004, 2012)(998, 2006, 999, 2007, 1001, 2009)
	L = (1, 1010)(2, 1009)(3, 1015)(4, 1016)(5, 1017)(6, 1018)(7, 1011)(8, 1012)(9, 1013)(10, 1014)(11, 1027)(12, 1028)(13, 1029)(14, 1030)(15, 1031)(16, 1032)(17, 1033)(18, 1034)(19, 1019)(20, 1020)(21, 1021)(22, 1022)(23, 1023)(24, 1024)(25, 1025)(26, 1026)(27, 1051)(28, 1052)(29, 1053)(30, 1054)(31, 1055)(32, 1056)(33, 1057)(34, 1058)(35, 1059)(36, 1060)(37, 1061)(38, 1062)(39, 1063)(40, 1064)(41, 1065)(42, 1066)(43, 1035)(44, 1036)(45, 1037)(46, 1038)(47, 1039)(48, 1040)(49, 1041)(50, 1042)(51, 1043)(52, 1044)(53, 1045)(54, 1046)(55, 1047)(56, 1048)(57, 1049)(58, 1050)(59, 1098)(60, 1099)(61, 1100)(62, 1101)(63, 1102)(64, 1103)(65, 1104)(66, 1105)(67, 1106)(68, 1107)(69, 1108)(70, 1109)(71, 1110)(72, 1111)(73, 1112)(74, 1083)(75, 1082)(76, 1113)(77, 1114)(78, 1115)(79, 1116)(80, 1117)(81, 1118)(82, 1119)(83, 1120)(84, 1121)(85, 1122)(86, 1123)(87, 1124)(88, 1125)(89, 1126)(90, 1067)(91, 1068)(92, 1069)(93, 1070)(94, 1071)(95, 1072)(96, 1073)(97, 1074)(98, 1075)(99, 1076)(100, 1077)(101, 1078)(102, 1079)(103, 1080)(104, 1081)(105, 1084)(106, 1085)(107, 1086)(108, 1087)(109, 1088)(110, 1089)(111, 1090)(112, 1091)(113, 1092)(114, 1093)(115, 1094)(116, 1095)(117, 1096)(118, 1097)(119, 1177)(120, 1178)(121, 1179)(122, 1180)(123, 1181)(124, 1182)(125, 1183)(126, 1184)(127, 1185)(128, 1186)(129, 1187)(130, 1188)(131, 1189)(132, 1190)(133, 1191)(134, 1192)(135, 1193)(136, 1194)(137, 1195)(138, 1196)(139, 1197)(140, 1198)(141, 1199)(142, 1200)(143, 1201)(144, 1202)(145, 1203)(146, 1204)(147, 1205)(148, 1206)(149, 1207)(150, 1208)(151, 1209)(152, 1210)(153, 1211)(154, 1212)(155, 1213)(156, 1214)(157, 1215)(158, 1216)(159, 1217)(160, 1218)(161, 1219)(162, 1220)(163, 1221)(164, 1222)(165, 1223)(166, 1224)(167, 1225)(168, 1226)(169, 1127)(170, 1128)(171, 1129)(172, 1130)(173, 1131)(174, 1132)(175, 1133)(176, 1134)(177, 1135)(178, 1136)(179, 1137)(180, 1138)(181, 1139)(182, 1140)(183, 1141)(184, 1142)(185, 1143)(186, 1144)(187, 1145)(188, 1146)(189, 1147)(190, 1148)(191, 1149)(192, 1150)(193, 1151)(194, 1152)(195, 1153)(196, 1154)(197, 1155)(198, 1156)(199, 1157)(200, 1158)(201, 1159)(202, 1160)(203, 1161)(204, 1162)(205, 1163)(206, 1164)(207, 1165)(208, 1166)(209, 1167)(210, 1168)(211, 1169)(212, 1170)(213, 1171)(214, 1172)(215, 1173)(216, 1174)(217, 1175)(218, 1176)(219, 1337)(220, 1458)(221, 1460)(222, 1462)(223, 1271)(224, 1464)(225, 1466)(226, 1468)(227, 1469)(228, 1347)(229, 1472)(230, 1474)(231, 1476)(232, 1477)(233, 1479)(234, 1481)(235, 1483)(236, 1291)(237, 1484)(238, 1486)(239, 1487)(240, 1488)(241, 1456)(242, 1370)(243, 1491)(244, 1493)(245, 1495)(246, 1273)(247, 1497)(248, 1499)(249, 1501)(250, 1502)(251, 1310)(252, 1505)(253, 1507)(254, 1509)(255, 1510)(256, 1512)(257, 1514)(258, 1516)(259, 1294)(260, 1517)(261, 1519)(262, 1520)(263, 1231)(264, 1418)(265, 1254)(266, 1441)(267, 1528)(268, 1531)(269, 1534)(270, 1536)(271, 1540)(272, 1542)(273, 1544)(274, 1548)(275, 1550)(276, 1551)(277, 1555)(278, 1557)(279, 1561)(280, 1565)(281, 1568)(282, 1572)(283, 1244)(284, 1577)(285, 1579)(286, 1267)(287, 1584)(288, 1586)(289, 1432)(290, 1591)(291, 1593)(292, 1453)(293, 1598)(294, 1437)(295, 1603)(296, 1606)(297, 1609)(298, 1427)(299, 1614)(300, 1405)(301, 1618)(302, 1259)(303, 1515)(304, 1623)(305, 1401)(306, 1628)(307, 1629)(308, 1631)(309, 1633)(310, 1635)(311, 1639)(312, 1419)(313, 1641)(314, 1643)(315, 1645)(316, 1646)(317, 1415)(318, 1651)(319, 1652)(320, 1640)(321, 1503)(322, 1656)(323, 1660)(324, 1397)(325, 1662)(326, 1664)(327, 1666)(328, 1489)(329, 1227)(330, 1650)(331, 1351)(332, 1674)(333, 1393)(334, 1678)(335, 1411)(336, 1683)(337, 1361)(338, 1687)(339, 1236)(340, 1482)(341, 1691)(342, 1357)(343, 1339)(344, 1698)(345, 1375)(346, 1704)(347, 1449)(348, 1710)(349, 1350)(350, 1713)(351, 1655)(352, 1715)(353, 1345)(354, 1387)(355, 1720)(356, 1724)(357, 1407)(358, 1726)(359, 1728)(360, 1709)(361, 1380)(362, 1250)(363, 1597)(364, 1470)(365, 1708)(366, 1736)(367, 1353)(368, 1738)(369, 1739)(370, 1741)(371, 1395)(372, 1369)(373, 1747)(374, 1751)(375, 1442)(376, 1753)(377, 1755)(378, 1682)(379, 1362)(380, 1438)(381, 1583)(382, 1760)(383, 1681)(384, 1764)(385, 1341)(386, 1766)(387, 1379)(388, 1770)(389, 1332)(390, 1776)(391, 1779)(392, 1743)(393, 1313)(394, 1782)(395, 1719)(396, 1783)(397, 1308)(398, 1787)(399, 1365)(400, 1793)(401, 1796)(402, 1668)(403, 1343)(404, 1800)(405, 1733)(406, 1802)(407, 1325)(408, 1806)(409, 1810)(410, 1272)(411, 1320)(412, 1815)(413, 1816)(414, 1819)(415, 1820)(416, 1821)(417, 1768)(418, 1523)(419, 1306)(420, 1823)(421, 1827)(422, 1830)(423, 1496)(424, 1297)(425, 1746)(426, 1634)(427, 1780)(428, 1832)(429, 1302)(430, 1388)(431, 1839)(432, 1843)(433, 1274)(434, 1383)(435, 1846)(436, 1792)(437, 1849)(438, 1850)(439, 1648)(440, 1473)(441, 1355)(442, 1855)(443, 1857)(444, 1858)(445, 1300)(446, 1761)(447, 1745)(448, 1249)(449, 1861)(450, 1228)(451, 1867)(452, 1229)(453, 1870)(454, 1230)(455, 1856)(456, 1232)(457, 1872)(458, 1233)(459, 1694)(460, 1234)(461, 1235)(462, 1372)(463, 1879)(464, 1237)(465, 1448)(466, 1238)(467, 1845)(468, 1239)(469, 1240)(470, 1693)(471, 1241)(472, 1891)(473, 1242)(474, 1348)(475, 1243)(476, 1245)(477, 1836)(478, 1246)(479, 1247)(480, 1248)(481, 1336)(482, 1901)(483, 1251)(484, 1907)(485, 1252)(486, 1910)(487, 1253)(488, 1431)(489, 1255)(490, 1913)(491, 1256)(492, 1627)(493, 1257)(494, 1258)(495, 1329)(496, 1920)(497, 1260)(498, 1576)(499, 1261)(500, 1924)(501, 1262)(502, 1263)(503, 1626)(504, 1264)(505, 1852)(506, 1265)(507, 1311)(508, 1266)(509, 1268)(510, 1884)(511, 1269)(512, 1270)(513, 1529)(514, 1933)(515, 1426)(516, 1934)(517, 1532)(518, 1935)(519, 1537)(520, 1275)(521, 1521)(522, 1936)(523, 1276)(524, 1525)(525, 1833)(526, 1277)(527, 1880)(528, 1278)(529, 1527)(530, 1566)(531, 1784)(532, 1279)(533, 1552)(534, 1280)(535, 1558)(536, 1281)(537, 1590)(538, 1562)(539, 1878)(540, 1282)(541, 1569)(542, 1283)(543, 1284)(544, 1541)(545, 1604)(546, 1695)(547, 1285)(548, 1759)(549, 1286)(550, 1543)(551, 1612)(552, 1716)(553, 1287)(554, 1546)(555, 1619)(556, 1671)(557, 1288)(558, 1538)(559, 1732)(560, 1289)(561, 1549)(562, 1625)(563, 1692)(564, 1290)(565, 1632)(566, 1600)(567, 1919)(568, 1506)(569, 1292)(570, 1607)(571, 1293)(572, 1644)(573, 1610)(574, 1758)(575, 1389)(576, 1295)(577, 1599)(578, 1296)(579, 1654)(580, 1615)(581, 1959)(582, 1545)(583, 1298)(584, 1621)(585, 1299)(586, 1665)(587, 1624)(588, 1731)(589, 1371)(590, 1301)(591, 1585)(592, 1574)(593, 1675)(594, 1684)(595, 1303)(596, 1553)(597, 1811)(598, 1304)(599, 1578)(600, 1680)(601, 1305)(602, 1581)(603, 1688)(604, 1559)(605, 1670)(606, 1307)(607, 1588)(608, 1699)(609, 1711)(610, 1309)(611, 1563)(612, 1702)(613, 1592)(614, 1707)(615, 1312)(616, 1595)(617, 1570)(618, 1511)(619, 1500)(620, 1314)(621, 1315)(622, 1851)(623, 1316)(624, 1573)(625, 1317)(626, 1434)(627, 1318)(628, 1729)(629, 1679)(630, 1744)(631, 1319)(632, 1328)(633, 1321)(634, 1960)(635, 1322)(636, 1580)(637, 1323)(638, 1324)(639, 1740)(640, 1447)(641, 1669)(642, 1338)(643, 1326)(644, 1327)(645, 1797)(646, 1587)(647, 1359)(648, 1330)(649, 1756)(650, 1705)(651, 1769)(652, 1331)(653, 1718)(654, 1333)(655, 1952)(656, 1334)(657, 1594)(658, 1335)(659, 1767)(660, 1410)(661, 1649)(662, 1613)(663, 1564)(664, 1771)(665, 1765)(666, 1340)(667, 1601)(668, 1774)(669, 1982)(670, 1342)(671, 1637)(672, 1608)(673, 1391)(674, 1386)(675, 1344)(676, 1602)(677, 1788)(678, 1798)(679, 1346)(680, 1611)(681, 1791)(682, 1974)(683, 1349)(684, 1571)(685, 1478)(686, 1467)(687, 1554)(688, 1807)(689, 1737)(690, 1352)(691, 1616)(692, 1813)(693, 1844)(694, 1620)(695, 1889)(696, 1354)(697, 1658)(698, 1828)(699, 1622)(700, 1373)(701, 1368)(702, 1356)(703, 1617)(704, 1840)(705, 1358)(706, 1967)(707, 1360)(708, 1560)(709, 1825)(710, 1661)(711, 1403)(712, 1363)(713, 1873)(714, 1777)(715, 1900)(716, 1364)(717, 1786)(718, 1366)(719, 1957)(720, 1367)(721, 1636)(722, 1896)(723, 1596)(724, 1567)(725, 1413)(726, 1914)(727, 1794)(728, 1374)(729, 1697)(730, 1376)(731, 1377)(732, 1647)(733, 1378)(734, 1932)(735, 1400)(736, 1638)(737, 1455)(738, 1433)(739, 1381)(740, 1927)(741, 1817)(742, 1973)(743, 1382)(744, 1835)(745, 1384)(746, 1963)(747, 1385)(748, 1657)(749, 1906)(750, 1582)(751, 1556)(752, 1390)(753, 1454)(754, 1971)(755, 1847)(756, 1392)(757, 1673)(758, 1394)(759, 1667)(760, 1425)(761, 1659)(762, 1396)(763, 1672)(764, 1848)(765, 1886)(766, 1676)(767, 1928)(768, 1398)(769, 1722)(770, 1894)(771, 1399)(772, 1435)(773, 1838)(774, 1402)(775, 1404)(776, 1539)(777, 2001)(778, 1725)(779, 1406)(780, 1685)(781, 1890)(782, 1925)(783, 1689)(784, 1444)(785, 1408)(786, 1735)(787, 1808)(788, 1409)(789, 1653)(790, 1686)(791, 2004)(792, 1412)(793, 1958)(794, 1414)(795, 1984)(796, 1988)(797, 1965)(798, 1416)(799, 1696)(800, 1795)(801, 1941)(802, 1417)(803, 1605)(804, 1926)(805, 1700)(806, 1871)(807, 1420)(808, 1421)(809, 1749)(810, 2007)(811, 1422)(812, 1423)(813, 1424)(814, 1903)(815, 1428)(816, 1986)(817, 1717)(818, 1938)(819, 1429)(820, 1706)(821, 1950)(822, 1430)(823, 2009)(824, 1436)(825, 1533)(826, 2012)(827, 1752)(828, 1485)(829, 1989)(830, 1781)(831, 1439)(832, 1712)(833, 1956)(834, 1943)(835, 1440)(836, 1701)(837, 1475)(838, 1443)(839, 1763)(840, 1772)(841, 1445)(842, 1446)(843, 1630)(844, 1513)(845, 2003)(846, 1981)(847, 1450)(848, 1463)(849, 1451)(850, 1452)(851, 1999)(852, 1947)(853, 1457)(854, 1912)(855, 1962)(856, 2008)(857, 1918)(858, 2006)(859, 1459)(860, 1939)(861, 1964)(862, 1461)(863, 1814)(864, 1465)(865, 1721)(866, 1949)(867, 1980)(868, 1975)(869, 1955)(870, 1547)(871, 1471)(872, 1535)(873, 1991)(874, 2005)(875, 1979)(876, 1518)(877, 1898)(878, 1773)(879, 1937)(880, 1902)(881, 1703)(882, 1789)(883, 1480)(884, 1993)(885, 2010)(886, 1778)(887, 1985)(888, 1730)(889, 1948)(890, 1885)(891, 2002)(892, 1723)(893, 1490)(894, 1888)(895, 1822)(896, 1969)(897, 2011)(898, 1757)(899, 1492)(900, 1940)(901, 1946)(902, 1494)(903, 1966)(904, 1862)(905, 1498)(906, 1734)(907, 1954)(908, 1992)(909, 1942)(910, 1865)(911, 1575)(912, 1504)(913, 2016)(914, 1977)(915, 1951)(916, 1508)(917, 1790)(918, 1812)(919, 1748)(920, 1775)(921, 1995)(922, 1996)(923, 2000)(924, 1742)(925, 1522)(926, 1524)(927, 1526)(928, 1530)(929, 1887)(930, 1826)(931, 1868)(932, 1908)(933, 1809)(934, 1917)(935, 1842)(936, 2015)(937, 1997)(938, 1909)(939, 1860)(940, 1897)(941, 1874)(942, 1829)(943, 1923)(944, 1663)(945, 1998)(946, 1915)(947, 1877)(948, 1841)(949, 1727)(950, 1801)(951, 1589)(952, 1642)(953, 1994)(954, 1863)(955, 1754)(956, 1869)(957, 1805)(958, 1911)(959, 1714)(960, 1978)(961, 1904)(962, 1983)(963, 1762)(964, 1990)(965, 1750)(966, 1690)(967, 1876)(968, 2014)(969, 1922)(970, 1968)(971, 1883)(972, 1875)(973, 1854)(974, 1677)(975, 1970)(976, 1803)(977, 1895)(978, 1824)(979, 2013)(980, 1804)(981, 1837)(982, 1972)(983, 1881)(984, 1916)(985, 1892)(986, 1961)(987, 1929)(988, 1930)(989, 1945)(990, 1953)(991, 1859)(992, 1931)(993, 1785)(994, 1899)(995, 1853)(996, 1799)(997, 1882)(998, 1866)(999, 1818)(1000, 1864)(1001, 1831)(1002, 1893)(1003, 1905)(1004, 1834)(1005, 1987)(1006, 1976)(1007, 1944)(1008, 1921)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1770
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 336 e = 1008 f = 630
	degree seq :: [ 6^336 ]

E22.1774 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T2^8, (T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^-3)^2, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^2 * T1^-1 * T2^3 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 ]
Map::
	R = (1, 1009, 3, 1011, 9, 1017, 19, 1027, 37, 1045, 26, 1034, 13, 1021, 5, 1013)(2, 1010, 6, 1014, 14, 1022, 27, 1035, 49, 1057, 32, 1040, 16, 1024, 7, 1015)(4, 1012, 11, 1019, 22, 1030, 41, 1049, 60, 1068, 34, 1042, 17, 1025, 8, 1016)(10, 1018, 21, 1029, 40, 1048, 68, 1076, 100, 1108, 62, 1070, 35, 1043, 18, 1026)(12, 1020, 23, 1031, 43, 1051, 73, 1081, 115, 1123, 76, 1084, 44, 1052, 24, 1032)(15, 1023, 29, 1037, 52, 1060, 85, 1093, 134, 1142, 88, 1096, 53, 1061, 30, 1038)(20, 1028, 39, 1047, 67, 1075, 106, 1114, 160, 1168, 102, 1110, 63, 1071, 36, 1044)(25, 1033, 45, 1053, 77, 1085, 121, 1129, 186, 1194, 124, 1132, 78, 1086, 46, 1054)(28, 1036, 51, 1059, 84, 1092, 131, 1139, 197, 1205, 127, 1135, 80, 1088, 48, 1056)(31, 1039, 54, 1062, 89, 1097, 140, 1148, 215, 1223, 143, 1151, 90, 1098, 55, 1063)(33, 1041, 57, 1065, 92, 1100, 145, 1153, 224, 1232, 148, 1156, 93, 1101, 58, 1066)(38, 1046, 66, 1074, 105, 1113, 164, 1172, 250, 1258, 162, 1170, 103, 1111, 64, 1072)(42, 1050, 72, 1080, 113, 1121, 175, 1183, 267, 1275, 173, 1181, 111, 1119, 70, 1078)(47, 1055, 65, 1073, 104, 1112, 163, 1171, 251, 1259, 193, 1201, 125, 1133, 79, 1087)(50, 1058, 83, 1091, 130, 1138, 201, 1209, 304, 1312, 199, 1207, 128, 1136, 81, 1089)(56, 1064, 82, 1090, 129, 1137, 200, 1208, 305, 1313, 222, 1230, 144, 1152, 91, 1099)(59, 1067, 94, 1102, 149, 1157, 230, 1238, 345, 1353, 233, 1241, 150, 1158, 95, 1103)(61, 1069, 97, 1105, 152, 1160, 235, 1243, 354, 1362, 238, 1246, 153, 1161, 98, 1106)(69, 1077, 110, 1118, 171, 1179, 262, 1270, 391, 1399, 260, 1268, 169, 1177, 108, 1116)(71, 1079, 112, 1120, 174, 1182, 268, 1276, 352, 1360, 234, 1242, 151, 1159, 96, 1104)(74, 1082, 117, 1125, 181, 1189, 278, 1286, 411, 1419, 274, 1282, 177, 1185, 114, 1122)(75, 1083, 118, 1126, 182, 1190, 280, 1288, 421, 1429, 283, 1291, 183, 1191, 119, 1127)(86, 1094, 136, 1144, 210, 1218, 318, 1326, 470, 1478, 314, 1322, 206, 1214, 133, 1141)(87, 1095, 137, 1145, 211, 1219, 320, 1328, 480, 1488, 323, 1331, 212, 1220, 138, 1146)(99, 1107, 154, 1162, 239, 1247, 360, 1368, 535, 1543, 363, 1371, 240, 1248, 155, 1163)(101, 1109, 157, 1165, 242, 1250, 365, 1373, 542, 1550, 368, 1376, 243, 1251, 158, 1166)(107, 1115, 168, 1176, 258, 1266, 386, 1394, 567, 1575, 384, 1392, 256, 1264, 166, 1174)(109, 1117, 170, 1178, 261, 1269, 392, 1400, 540, 1548, 364, 1372, 241, 1249, 156, 1164)(116, 1124, 180, 1188, 277, 1285, 415, 1423, 602, 1610, 413, 1421, 275, 1283, 178, 1186)(120, 1128, 179, 1187, 276, 1284, 414, 1422, 603, 1611, 428, 1436, 284, 1292, 184, 1192)(122, 1130, 188, 1196, 289, 1297, 434, 1442, 619, 1627, 430, 1438, 285, 1293, 185, 1193)(123, 1131, 189, 1197, 290, 1298, 436, 1444, 626, 1634, 439, 1447, 291, 1299, 190, 1198)(126, 1134, 194, 1202, 296, 1304, 444, 1452, 638, 1646, 447, 1455, 297, 1305, 195, 1203)(132, 1140, 205, 1213, 312, 1320, 465, 1473, 660, 1668, 463, 1471, 310, 1318, 203, 1211)(135, 1143, 209, 1217, 317, 1325, 474, 1482, 672, 1680, 472, 1480, 315, 1323, 207, 1215)(139, 1147, 208, 1216, 316, 1324, 473, 1481, 673, 1681, 487, 1495, 324, 1332, 213, 1221)(141, 1149, 217, 1225, 329, 1337, 493, 1501, 687, 1695, 489, 1497, 325, 1333, 214, 1222)(142, 1150, 218, 1226, 330, 1338, 495, 1503, 694, 1702, 498, 1506, 331, 1339, 219, 1227)(146, 1154, 226, 1234, 340, 1348, 508, 1516, 704, 1712, 504, 1512, 336, 1344, 223, 1231)(147, 1155, 227, 1235, 341, 1349, 510, 1518, 711, 1719, 513, 1521, 342, 1350, 228, 1236)(159, 1167, 244, 1252, 369, 1377, 547, 1555, 752, 1760, 550, 1558, 370, 1378, 245, 1253)(161, 1169, 247, 1255, 372, 1380, 552, 1560, 759, 1767, 555, 1563, 373, 1381, 248, 1256)(165, 1173, 255, 1263, 382, 1390, 563, 1571, 685, 1693, 486, 1494, 380, 1388, 253, 1261)(167, 1175, 257, 1265, 385, 1393, 568, 1576, 757, 1765, 551, 1559, 371, 1379, 246, 1254)(172, 1180, 264, 1272, 397, 1405, 582, 1590, 787, 1795, 585, 1593, 398, 1406, 265, 1273)(176, 1184, 272, 1280, 407, 1415, 593, 1601, 755, 1763, 549, 1557, 405, 1413, 270, 1278)(187, 1195, 288, 1296, 433, 1441, 496, 1504, 695, 1703, 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	L = (1, 1010)(2, 1012)(3, 1016)(4, 1009)(5, 1020)(6, 1013)(7, 1023)(8, 1018)(9, 1026)(10, 1011)(11, 1015)(12, 1014)(13, 1033)(14, 1032)(15, 1019)(16, 1039)(17, 1041)(18, 1028)(19, 1044)(20, 1017)(21, 1025)(22, 1038)(23, 1021)(24, 1036)(25, 1031)(26, 1055)(27, 1056)(28, 1022)(29, 1024)(30, 1050)(31, 1037)(32, 1064)(33, 1029)(34, 1067)(35, 1069)(36, 1046)(37, 1072)(38, 1027)(39, 1043)(40, 1066)(41, 1078)(42, 1030)(43, 1054)(44, 1083)(45, 1034)(46, 1082)(47, 1053)(48, 1058)(49, 1089)(50, 1035)(51, 1052)(52, 1063)(53, 1095)(54, 1040)(55, 1094)(56, 1062)(57, 1042)(58, 1077)(59, 1065)(60, 1104)(61, 1047)(62, 1107)(63, 1109)(64, 1073)(65, 1045)(66, 1071)(67, 1106)(68, 1116)(69, 1048)(70, 1079)(71, 1049)(72, 1061)(73, 1122)(74, 1051)(75, 1059)(76, 1128)(77, 1087)(78, 1131)(79, 1130)(80, 1134)(81, 1090)(82, 1057)(83, 1088)(84, 1127)(85, 1141)(86, 1060)(87, 1080)(88, 1147)(89, 1099)(90, 1150)(91, 1149)(92, 1103)(93, 1155)(94, 1068)(95, 1154)(96, 1102)(97, 1070)(98, 1115)(99, 1105)(100, 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1653)(556, 1566)(557, 1771)(558, 1669)(559, 1725)(560, 1567)(561, 1770)(562, 1681)(563, 1779)(564, 1390)(565, 1577)(566, 1457)(567, 1783)(568, 1736)(569, 1393)(570, 1579)(571, 1394)(572, 1540)(573, 1584)(574, 1788)(575, 1399)(576, 1603)(577, 1583)(578, 1582)(579, 1772)(580, 1587)(581, 1722)(582, 1625)(583, 1405)(584, 1412)(585, 1798)(586, 1596)(587, 1471)(588, 1800)(589, 1436)(590, 1597)(591, 1797)(592, 1760)(593, 1807)(594, 1415)(595, 1581)(596, 1810)(597, 1419)(598, 1605)(599, 1421)(600, 1612)(601, 1607)(602, 1735)(603, 1816)(604, 1422)(605, 1604)(606, 1818)(607, 1614)(608, 1638)(609, 1618)(610, 1429)(611, 1537)(612, 1624)(613, 1623)(614, 1825)(615, 1775)(616, 1824)(617, 1438)(618, 1503)(619, 1829)(620, 1440)(621, 1831)(622, 1830)(623, 1632)(624, 1442)(625, 1450)(626, 1836)(627, 1444)(628, 1448)(629, 1447)(630, 1821)(631, 1637)(632, 1636)(633, 1661)(634, 1633)(635, 1786)(636, 1841)(637, 1512)(638, 1712)(639, 1455)(640, 1665)(641, 1647)(642, 1847)(643, 1456)(644, 1849)(645, 1769)(646, 1459)(647, 1466)(648, 1731)(649, 1659)(650, 1819)(651, 1805)(652, 1641)(653, 1660)(654, 1854)(655, 1543)(656, 1860)(657, 1469)(658, 1670)(659, 1595)(660, 1864)(661, 1564)(662, 1472)(663, 1672)(664, 1473)(665, 1622)(666, 1869)(667, 1478)(668, 1675)(669, 1480)(670, 1682)(671, 1677)(672, 1644)(673, 1778)(674, 1481)(675, 1674)(676, 1874)(677, 1684)(678, 1705)(679, 1688)(680, 1488)(681, 1693)(682, 1692)(683, 1880)(684, 1857)(685, 1879)(686, 1518)(687, 1754)(688, 1499)(689, 1885)(690, 1884)(691, 1700)(692, 1501)(693, 1509)(694, 1828)(695, 1507)(696, 1506)(697, 1877)(698, 1704)(699, 1703)(700, 1729)(701, 1701)(702, 1867)(703, 1752)(704, 1843)(705, 1514)(706, 1839)(707, 1894)(708, 1717)(709, 1516)(710, 1529)(711, 1883)(712, 1522)(713, 1521)(714, 1794)(715, 1721)(716, 1720)(717, 1568)(718, 1526)(719, 1560)(720, 1708)(721, 1728)(722, 1903)(723, 1853)(724, 1527)(725, 1718)(726, 1909)(727, 1814)(728, 1738)(729, 1875)(730, 1576)(731, 1912)(732, 1739)(733, 1914)(734, 1538)(735, 1730)(736, 1539)(737, 1580)(738, 1889)(739, 1629)(740, 1834)(741, 1663)(742, 1748)(743, 1753)(744, 1548)(745, 1918)(746, 1550)(747, 1763)(748, 1758)(749, 1876)(750, 1815)(751, 1761)(752, 1806)(753, 1555)(754, 1559)(755, 1922)(756, 1762)(757, 1911)(758, 1727)(759, 1904)(760, 1565)(761, 1563)(762, 1776)(763, 1768)(764, 1588)(765, 1931)(766, 1895)(767, 1621)(768, 1569)(769, 1919)(770, 1570)(771, 1780)(772, 1571)(773, 1757)(774, 1575)(775, 1782)(776, 1650)(777, 1643)(778, 1785)(779, 1868)(780, 1586)(781, 1812)(782, 1791)(783, 1940)(784, 1865)(785, 1862)(786, 1589)(787, 1627)(788, 1593)(789, 1804)(790, 1796)(791, 1792)(792, 1594)(793, 1944)(794, 1611)(795, 1900)(796, 1599)(797, 1657)(798, 1600)(799, 1808)(800, 1601)(801, 1691)(802, 1613)(803, 1870)(804, 1939)(805, 1888)(806, 1610)(807, 1756)(808, 1802)(809, 1813)(810, 1615)(811, 1852)(812, 1947)(813, 1616)(814, 1952)(815, 1822)(816, 1620)(817, 1673)(818, 1898)(819, 1697)(820, 1890)(821, 1795)(822, 1833)(823, 1747)(824, 1955)(825, 1630)(826, 1750)(827, 1840)(828, 1837)(829, 1634)(830, 1891)(831, 1882)(832, 1881)(833, 1680)(834, 1946)(835, 1646)(836, 1846)(837, 1793)(838, 1872)(839, 1784)(840, 1652)(841, 1848)(842, 1773)(843, 1767)(844, 1658)(845, 1656)(846, 1858)(847, 1966)(848, 1832)(849, 1690)(850, 1662)(851, 1916)(852, 1861)(853, 1664)(854, 1845)(855, 1668)(856, 1863)(857, 1799)(858, 1710)(859, 1866)(860, 1938)(861, 1683)(862, 1948)(863, 1897)(864, 1844)(865, 1871)(866, 1685)(867, 1906)(868, 1781)(869, 1686)(870, 1741)(871, 1689)(872, 1809)(873, 1835)(874, 1714)(875, 1899)(876, 1887)(877, 1827)(878, 1973)(879, 1698)(880, 1817)(881, 1892)(882, 1702)(883, 1901)(884, 1746)(885, 1777)(886, 1896)(887, 1934)(888, 1715)(889, 1873)(890, 1908)(891, 1719)(892, 1902)(893, 1838)(894, 1803)(895, 1743)(896, 1851)(897, 1886)(898, 1737)(899, 1734)(900, 1826)(901, 1907)(902, 1859)(903, 1926)(904, 1740)(905, 1986)(906, 1878)(907, 1982)(908, 1910)(909, 1957)(910, 1751)(911, 1893)(912, 1979)(913, 1989)(914, 1755)(915, 1917)(916, 1984)(917, 1927)(918, 1765)(919, 1991)(920, 1930)(921, 1980)(922, 1961)(923, 1850)(924, 1968)(925, 1992)(926, 1774)(927, 1929)(928, 1937)(929, 1959)(930, 1787)(931, 1789)(932, 1790)(933, 1999)(934, 1820)(935, 1801)(936, 1943)(937, 1855)(938, 1949)(939, 1942)(940, 1811)(941, 1842)(942, 1975)(943, 2000)(944, 1823)(945, 2002)(946, 1970)(947, 1856)(948, 1913)(949, 1923)(950, 1969)(951, 1936)(952, 1950)(953, 1928)(954, 1963)(955, 2001)(956, 1951)(957, 1958)(958, 1945)(959, 1983)(960, 1996)(961, 1965)(962, 1977)(963, 1924)(964, 1987)(965, 1905)(966, 1953)(967, 1960)(968, 1915)(969, 1954)(970, 1972)(971, 1988)(972, 1935)(973, 1921)(974, 1976)(975, 2008)(976, 1971)(977, 1933)(978, 1956)(979, 1978)(980, 1920)(981, 1981)(982, 2004)(983, 1925)(984, 1985)(985, 2012)(986, 2006)(987, 2015)(988, 1932)(989, 2010)(990, 1941)(991, 1998)(992, 1964)(993, 1962)(994, 1974)(995, 2014)(996, 2007)(997, 1997)(998, 2011)(999, 1990)(1000, 1967)(1001, 1993)(1002, 2005)(1003, 1994)(1004, 2009)(1005, 1995)(1006, 2016)(1007, 2013)(1008, 2003)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E22.1767
Transitivity :: ET+ VT+ AT
Graph::
	v = 126 e = 1008 f = 840
	degree seq :: [ 16^126 ]

E22.1775 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2 * T1)^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T2^8, T2^-1 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-3 * T1^-1 * T2^2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1 * T2^-1, (T2^2 * T1^-1 * T2^3 * T1^-1 * T2^2 * T1^-1)^2, T2^2 * T1^-1 * T2^4 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-6 * T1 * T2^-4 * T1^-1 * T2 * T1^-1, T2^2 * T1^-1 * T2^-3 * T1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^-3 * T1^-1 * T2^2 * T1^-1 * T2^4 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-3 * T1 * T2^3 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^3 * T1^-1 * T2^4 * T1^-1 * T2^2 * T1^-1 ]
Map::
	R = (1, 1009, 3, 1011, 9, 1017, 19, 1027, 37, 1045, 26, 1034, 13, 1021, 5, 1013)(2, 1010, 6, 1014, 14, 1022, 27, 1035, 49, 1057, 32, 1040, 16, 1024, 7, 1015)(4, 1012, 11, 1019, 22, 1030, 41, 1049, 60, 1068, 34, 1042, 17, 1025, 8, 1016)(10, 1018, 21, 1029, 40, 1048, 68, 1076, 100, 1108, 62, 1070, 35, 1043, 18, 1026)(12, 1020, 23, 1031, 43, 1051, 73, 1081, 115, 1123, 76, 1084, 44, 1052, 24, 1032)(15, 1023, 29, 1037, 52, 1060, 85, 1093, 134, 1142, 88, 1096, 53, 1061, 30, 1038)(20, 1028, 39, 1047, 67, 1075, 106, 1114, 160, 1168, 102, 1110, 63, 1071, 36, 1044)(25, 1033, 45, 1053, 77, 1085, 121, 1129, 186, 1194, 124, 1132, 78, 1086, 46, 1054)(28, 1036, 51, 1059, 84, 1092, 131, 1139, 197, 1205, 127, 1135, 80, 1088, 48, 1056)(31, 1039, 54, 1062, 89, 1097, 140, 1148, 215, 1223, 143, 1151, 90, 1098, 55, 1063)(33, 1041, 57, 1065, 92, 1100, 145, 1153, 224, 1232, 148, 1156, 93, 1101, 58, 1066)(38, 1046, 66, 1074, 105, 1113, 164, 1172, 250, 1258, 162, 1170, 103, 1111, 64, 1072)(42, 1050, 72, 1080, 113, 1121, 175, 1183, 267, 1275, 173, 1181, 111, 1119, 70, 1078)(47, 1055, 65, 1073, 104, 1112, 163, 1171, 251, 1259, 193, 1201, 125, 1133, 79, 1087)(50, 1058, 83, 1091, 130, 1138, 201, 1209, 304, 1312, 199, 1207, 128, 1136, 81, 1089)(56, 1064, 82, 1090, 129, 1137, 200, 1208, 305, 1313, 222, 1230, 144, 1152, 91, 1099)(59, 1067, 94, 1102, 149, 1157, 230, 1238, 345, 1353, 233, 1241, 150, 1158, 95, 1103)(61, 1069, 97, 1105, 152, 1160, 235, 1243, 353, 1361, 238, 1246, 153, 1161, 98, 1106)(69, 1077, 110, 1118, 171, 1179, 262, 1270, 385, 1393, 260, 1268, 169, 1177, 108, 1116)(71, 1079, 112, 1120, 174, 1182, 268, 1276, 352, 1360, 234, 1242, 151, 1159, 96, 1104)(74, 1082, 117, 1125, 181, 1189, 278, 1286, 403, 1411, 274, 1282, 177, 1185, 114, 1122)(75, 1083, 118, 1126, 182, 1190, 280, 1288, 412, 1420, 283, 1291, 183, 1191, 119, 1127)(86, 1094, 136, 1144, 210, 1218, 318, 1326, 454, 1462, 314, 1322, 206, 1214, 133, 1141)(87, 1095, 137, 1145, 211, 1219, 320, 1328, 463, 1471, 323, 1331, 212, 1220, 138, 1146)(99, 1107, 154, 1162, 239, 1247, 358, 1366, 509, 1517, 361, 1369, 240, 1248, 155, 1163)(101, 1109, 157, 1165, 242, 1250, 321, 1329, 464, 1472, 364, 1372, 243, 1251, 158, 1166)(107, 1115, 168, 1176, 258, 1266, 382, 1390, 536, 1544, 380, 1388, 256, 1264, 166, 1174)(109, 1117, 170, 1178, 261, 1269, 386, 1394, 516, 1524, 362, 1370, 241, 1249, 156, 1164)(116, 1124, 180, 1188, 277, 1285, 407, 1415, 564, 1572, 405, 1413, 275, 1283, 178, 1186)(120, 1128, 179, 1187, 276, 1284, 406, 1414, 565, 1573, 418, 1426, 284, 1292, 184, 1192)(122, 1130, 188, 1196, 289, 1297, 422, 1430, 453, 1461, 313, 1321, 285, 1293, 185, 1193)(123, 1131, 189, 1197, 290, 1298, 424, 1432, 581, 1589, 427, 1435, 291, 1299, 190, 1198)(126, 1134, 194, 1202, 296, 1304, 236, 1244, 354, 1362, 433, 1441, 297, 1305, 195, 1203)(132, 1140, 205, 1213, 312, 1320, 451, 1459, 606, 1614, 449, 1457, 310, 1318, 203, 1211)(135, 1143, 209, 1217, 317, 1325, 458, 1466, 613, 1621, 456, 1464, 315, 1323, 207, 1215)(139, 1147, 208, 1216, 316, 1324, 457, 1465, 614, 1622, 469, 1477, 324, 1332, 213, 1221)(141, 1149, 217, 1225, 329, 1337, 473, 1481, 384, 1392, 259, 1267, 325, 1333, 214, 1222)(142, 1150, 218, 1226, 330, 1338, 475, 1483, 626, 1634, 478, 1486, 331, 1339, 219, 1227)(146, 1154, 226, 1234, 340, 1348, 486, 1494, 402, 1410, 273, 1281, 336, 1344, 223, 1231)(147, 1155, 227, 1235, 341, 1349, 488, 1496, 636, 1644, 491, 1499, 342, 1350, 228, 1236)(159, 1167, 244, 1252, 365, 1373, 520, 1528, 660, 1668, 523, 1531, 366, 1374, 245, 1253)(161, 1169, 247, 1255, 368, 1376, 489, 1497, 605, 1613, 448, 1456, 369, 1377, 248, 1256)(165, 1173, 255, 1263, 378, 1386, 534, 1542, 676, 1684, 532, 1540, 376, 1384, 253, 1261)(167, 1175, 257, 1265, 381, 1389, 537, 1545, 666, 1674, 524, 1532, 367, 1375, 246, 1254)(172, 1180, 264, 1272, 391, 1399, 281, 1289, 413, 1421, 548, 1556, 392, 1400, 265, 1273)(176, 1184, 272, 1280, 401, 1409, 558, 1566, 690, 1698, 556, 1564, 399, 1407, 270, 1278)(187, 1195, 288, 1296, 421, 1429, 578, 1586, 709, 1717, 576, 1584, 419, 1427, 286, 1294)(191, 1199, 287, 1295, 420, 1428, 577, 1585, 710, 1718, 584, 1592, 428, 1436, 292, 1300)(192, 1200, 293, 1301, 429, 1437, 585, 1593, 715, 1723, 587, 1595, 430, 1438, 294, 1302)(196, 1204, 298, 1306, 434, 1442, 591, 1599, 719, 1727, 593, 1601, 435, 1443, 299, 1307)(198, 1206, 301, 1309, 437, 1445, 425, 1433, 582, 1590, 555, 1563, 438, 1446, 302, 1310)(202, 1210, 309, 1317, 447, 1455, 604, 1612, 733, 1741, 602, 1610, 445, 1453, 307, 1315)(204, 1212, 311, 1319, 450, 1458, 607, 1615, 724, 1732, 594, 1602, 436, 1444, 300, 1308)(216, 1224, 328, 1336, 472, 1480, 625, 1633, 751, 1759, 623, 1631, 470, 1478, 326, 1334)(220, 1228, 327, 1335, 471, 1479, 624, 1632, 752, 1760, 627, 1635, 479, 1487, 332, 1340)(221, 1229, 333, 1341, 480, 1488, 628, 1636, 755, 1763, 630, 1638, 481, 1489, 334, 1342)(225, 1233, 339, 1347, 485, 1493, 635, 1643, 761, 1769, 633, 1641, 483, 1491, 337, 1345)(229, 1237, 338, 1346, 484, 1492, 634, 1642, 762, 1770, 637, 1645, 492, 1500, 343, 1351)(231, 1239, 347, 1355, 497, 1505, 476, 1484, 535, 1543, 379, 1387, 493, 1501, 344, 1352)(232, 1240, 348, 1356, 498, 1506, 641, 1649, 769, 1777, 643, 1651, 499, 1507, 349, 1357)(237, 1245, 355, 1363, 505, 1513, 423, 1431, 580, 1588, 559, 1567, 506, 1514, 356, 1364)(249, 1257, 370, 1378, 525, 1533, 667, 1675, 796, 1804, 669, 1677, 526, 1534, 371, 1379)(252, 1260, 375, 1383, 530, 1538, 674, 1682, 803, 1811, 672, 1680, 528, 1536, 373, 1381)(254, 1262, 377, 1385, 533, 1541, 677, 1685, 801, 1809, 670, 1678, 527, 1535, 372, 1380)(263, 1271, 390, 1398, 546, 1554, 426, 1434, 583, 1591, 547, 1555, 544, 1552, 388, 1396)(266, 1274, 393, 1401, 549, 1557, 682, 1690, 812, 1820, 684, 1692, 550, 1558, 394, 1402)(269, 1277, 398, 1406, 554, 1562, 689, 1697, 818, 1826, 687, 1695, 552, 1560, 396, 1404)(271, 1279, 400, 1408, 557, 1565, 691, 1699, 817, 1825, 685, 1693, 551, 1559, 395, 1403)(279, 1287, 411, 1419, 570, 1578, 477, 1485, 518, 1526, 363, 1371, 517, 1525, 409, 1417)(282, 1290, 414, 1422, 572, 1580, 474, 1482, 538, 1546, 383, 1391, 539, 1547, 415, 1423)(295, 1303, 374, 1382, 529, 1537, 673, 1681, 804, 1812, 717, 1725, 588, 1596, 431, 1439)(303, 1311, 439, 1447, 595, 1603, 725, 1733, 846, 1854, 727, 1735, 596, 1604, 440, 1448)(306, 1314, 444, 1452, 600, 1608, 732, 1740, 853, 1861, 730, 1738, 598, 1606, 442, 1450)(308, 1316, 446, 1454, 603, 1611, 734, 1742, 851, 1859, 728, 1736, 597, 1605, 441, 1449)(319, 1327, 462, 1470, 618, 1626, 490, 1498, 590, 1598, 432, 1440, 589, 1597, 460, 1468)(322, 1330, 465, 1473, 619, 1627, 487, 1495, 608, 1616, 452, 1460, 609, 1617, 466, 1474)(335, 1343, 443, 1451, 599, 1607, 731, 1739, 854, 1862, 757, 1765, 631, 1639, 482, 1490)(346, 1354, 496, 1504, 640, 1648, 768, 1776, 880, 1888, 766, 1774, 638, 1646, 494, 1502)(350, 1358, 495, 1503, 639, 1647, 767, 1775, 881, 1889, 770, 1778, 644, 1652, 500, 1508)(351, 1359, 501, 1509, 645, 1653, 771, 1779, 882, 1890, 773, 1781, 646, 1654, 502, 1510)(357, 1365, 504, 1512, 648, 1656, 775, 1783, 744, 1752, 616, 1624, 459, 1467, 507, 1515)(359, 1367, 511, 1519, 653, 1661, 642, 1650, 675, 1683, 531, 1539, 649, 1657, 508, 1516)(360, 1368, 512, 1520, 654, 1662, 779, 1787, 712, 1720, 579, 1587, 461, 1469, 513, 1521)(387, 1395, 543, 1551, 416, 1424, 571, 1579, 703, 1711, 809, 1817, 680, 1688, 541, 1549)(389, 1397, 545, 1553, 417, 1425, 573, 1581, 704, 1712, 807, 1815, 679, 1687, 540, 1548)(397, 1405, 553, 1561, 688, 1696, 819, 1827, 884, 1892, 774, 1782, 647, 1655, 503, 1511)(404, 1412, 561, 1569, 693, 1701, 586, 1594, 716, 1724, 601, 1609, 694, 1702, 562, 1570)(408, 1416, 569, 1577, 467, 1475, 522, 1530, 663, 1671, 790, 1798, 701, 1709, 567, 1575)(410, 1418, 519, 1527, 468, 1476, 620, 1628, 746, 1754, 820, 1828, 692, 1700, 560, 1568)(455, 1463, 610, 1618, 736, 1744, 629, 1637, 756, 1764, 686, 1694, 737, 1745, 611, 1619)(510, 1518, 652, 1660, 778, 1786, 888, 1896, 952, 1960, 886, 1894, 776, 1784, 650, 1658)(514, 1522, 651, 1659, 777, 1785, 887, 1895, 953, 1961, 889, 1897, 781, 1789, 655, 1663)(515, 1523, 656, 1664, 782, 1790, 890, 1898, 954, 1962, 892, 1900, 783, 1791, 657, 1665)(521, 1529, 662, 1670, 789, 1797, 780, 1788, 802, 1810, 671, 1679, 785, 1793, 659, 1667)(542, 1550, 681, 1689, 810, 1818, 906, 1914, 955, 1963, 893, 1901, 784, 1792, 658, 1666)(563, 1571, 695, 1703, 821, 1829, 911, 1919, 969, 1977, 913, 1921, 822, 1830, 696, 1704)(566, 1574, 700, 1708, 799, 1807, 900, 1908, 960, 1968, 916, 1924, 824, 1832, 698, 1706)(568, 1576, 702, 1710, 800, 1808, 901, 1909, 961, 1969, 914, 1922, 823, 1831, 697, 1705)(574, 1582, 699, 1707, 825, 1833, 917, 1925, 970, 1978, 918, 1926, 828, 1836, 705, 1713)(575, 1583, 706, 1714, 795, 1803, 668, 1676, 798, 1806, 826, 1834, 829, 1837, 707, 1715)(592, 1600, 721, 1729, 840, 1848, 827, 1835, 852, 1860, 729, 1737, 836, 1844, 718, 1726)(612, 1620, 738, 1746, 856, 1864, 935, 1943, 983, 1991, 937, 1945, 857, 1865, 739, 1747)(615, 1623, 743, 1751, 849, 1857, 931, 1939, 979, 1987, 940, 1948, 859, 1867, 741, 1749)(617, 1625, 745, 1753, 850, 1858, 932, 1940, 980, 1988, 938, 1946, 858, 1866, 740, 1748)(621, 1629, 742, 1750, 860, 1868, 941, 1949, 984, 1992, 942, 1950, 863, 1871, 747, 1755)(622, 1630, 748, 1756, 845, 1853, 726, 1734, 848, 1856, 861, 1869, 864, 1872, 749, 1757)(632, 1640, 758, 1766, 869, 1877, 772, 1780, 883, 1891, 808, 1816, 870, 1878, 759, 1767)(661, 1669, 788, 1796, 896, 1904, 957, 1965, 990, 1998, 956, 1964, 894, 1902, 786, 1794)(664, 1672, 787, 1795, 895, 1903, 936, 1944, 921, 1929, 832, 1840, 711, 1719, 791, 1799)(665, 1673, 792, 1800, 897, 1905, 939, 1947, 920, 1928, 831, 1839, 713, 1721, 793, 1801)(678, 1686, 806, 1814, 905, 1913, 965, 1973, 991, 1999, 958, 1966, 898, 1906, 794, 1802)(683, 1691, 814, 1822, 909, 1917, 862, 1870, 878, 1886, 765, 1773, 877, 1885, 811, 1819)(708, 1716, 830, 1838, 919, 1927, 971, 1979, 992, 2000, 959, 1967, 899, 1907, 797, 1805)(714, 1722, 833, 1841, 922, 1930, 972, 1980, 997, 2005, 973, 1981, 923, 1931, 834, 1842)(720, 1728, 839, 1847, 927, 1935, 976, 1984, 999, 2007, 975, 1983, 925, 1933, 837, 1845)(722, 1730, 838, 1846, 926, 1934, 891, 1899, 945, 1953, 867, 1875, 753, 1761, 841, 1849)(723, 1731, 842, 1850, 928, 1936, 885, 1893, 944, 1952, 866, 1874, 754, 1762, 843, 1851)(735, 1743, 855, 1863, 934, 1942, 982, 1990, 1000, 2008, 977, 1985, 929, 1937, 844, 1852)(750, 1758, 865, 1873, 943, 1951, 985, 1993, 1001, 2009, 978, 1986, 930, 1938, 847, 1855)(760, 1768, 871, 1879, 947, 1955, 987, 1995, 1004, 2012, 988, 1996, 948, 1956, 872, 1880)(763, 1771, 875, 1883, 815, 1823, 908, 1916, 967, 1975, 912, 1920, 950, 1958, 874, 1882)(764, 1772, 876, 1884, 816, 1824, 910, 1918, 968, 1976, 915, 1923, 949, 1957, 873, 1881)(805, 1813, 904, 1912, 964, 1972, 995, 2003, 1006, 2014, 993, 2001, 962, 1970, 902, 1910)(813, 1821, 879, 1887, 951, 1959, 989, 1997, 1005, 2013, 996, 2004, 966, 1974, 907, 1915)(835, 1843, 903, 1911, 963, 1971, 994, 2002, 1007, 2015, 998, 2006, 974, 1982, 924, 1932)(868, 1876, 933, 1941, 981, 1989, 1002, 2010, 1008, 2016, 1003, 2011, 986, 1994, 946, 1954)
	L = (1, 1010)(2, 1012)(3, 1016)(4, 1009)(5, 1020)(6, 1013)(7, 1023)(8, 1018)(9, 1026)(10, 1011)(11, 1015)(12, 1014)(13, 1033)(14, 1032)(15, 1019)(16, 1039)(17, 1041)(18, 1028)(19, 1044)(20, 1017)(21, 1025)(22, 1038)(23, 1021)(24, 1036)(25, 1031)(26, 1055)(27, 1056)(28, 1022)(29, 1024)(30, 1050)(31, 1037)(32, 1064)(33, 1029)(34, 1067)(35, 1069)(36, 1046)(37, 1072)(38, 1027)(39, 1043)(40, 1066)(41, 1078)(42, 1030)(43, 1054)(44, 1083)(45, 1034)(46, 1082)(47, 1053)(48, 1058)(49, 1089)(50, 1035)(51, 1052)(52, 1063)(53, 1095)(54, 1040)(55, 1094)(56, 1062)(57, 1042)(58, 1077)(59, 1065)(60, 1104)(61, 1047)(62, 1107)(63, 1109)(64, 1073)(65, 1045)(66, 1071)(67, 1106)(68, 1116)(69, 1048)(70, 1079)(71, 1049)(72, 1061)(73, 1122)(74, 1051)(75, 1059)(76, 1128)(77, 1087)(78, 1131)(79, 1130)(80, 1134)(81, 1090)(82, 1057)(83, 1088)(84, 1127)(85, 1141)(86, 1060)(87, 1080)(88, 1147)(89, 1099)(90, 1150)(91, 1149)(92, 1103)(93, 1155)(94, 1068)(95, 1154)(96, 1102)(97, 1070)(98, 1115)(99, 1105)(100, 1164)(101, 1074)(102, 1167)(103, 1169)(104, 1111)(105, 1166)(106, 1174)(107, 1075)(108, 1117)(109, 1076)(110, 1101)(111, 1180)(112, 1119)(113, 1146)(114, 1124)(115, 1186)(116, 1081)(117, 1086)(118, 1084)(119, 1140)(120, 1126)(121, 1193)(122, 1085)(123, 1125)(124, 1199)(125, 1200)(126, 1091)(127, 1204)(128, 1206)(129, 1136)(130, 1203)(131, 1211)(132, 1092)(133, 1143)(134, 1215)(135, 1093)(136, 1098)(137, 1096)(138, 1184)(139, 1145)(140, 1222)(141, 1097)(142, 1144)(143, 1228)(144, 1229)(145, 1231)(146, 1100)(147, 1118)(148, 1237)(149, 1159)(150, 1240)(151, 1239)(152, 1163)(153, 1245)(154, 1108)(155, 1244)(156, 1162)(157, 1110)(158, 1173)(159, 1165)(160, 1254)(161, 1112)(162, 1257)(163, 1256)(164, 1261)(165, 1113)(166, 1175)(167, 1114)(168, 1161)(169, 1267)(170, 1177)(171, 1236)(172, 1120)(173, 1274)(174, 1273)(175, 1278)(176, 1121)(177, 1281)(178, 1187)(179, 1123)(180, 1185)(181, 1198)(182, 1192)(183, 1290)(184, 1289)(185, 1195)(186, 1294)(187, 1129)(188, 1133)(189, 1132)(190, 1287)(191, 1197)(192, 1196)(193, 1303)(194, 1135)(195, 1210)(196, 1202)(197, 1308)(198, 1137)(199, 1311)(200, 1310)(201, 1315)(202, 1138)(203, 1212)(204, 1139)(205, 1191)(206, 1321)(207, 1216)(208, 1142)(209, 1214)(210, 1227)(211, 1221)(212, 1330)(213, 1329)(214, 1224)(215, 1334)(216, 1148)(217, 1152)(218, 1151)(219, 1327)(220, 1226)(221, 1225)(222, 1343)(223, 1233)(224, 1345)(225, 1153)(226, 1158)(227, 1156)(228, 1271)(229, 1235)(230, 1352)(231, 1157)(232, 1234)(233, 1358)(234, 1359)(235, 1304)(236, 1160)(237, 1176)(238, 1365)(239, 1249)(240, 1368)(241, 1367)(242, 1253)(243, 1371)(244, 1168)(245, 1328)(246, 1252)(247, 1170)(248, 1260)(249, 1255)(250, 1380)(251, 1381)(252, 1171)(253, 1262)(254, 1172)(255, 1251)(256, 1387)(257, 1264)(258, 1364)(259, 1178)(260, 1336)(261, 1392)(262, 1396)(263, 1179)(264, 1181)(265, 1277)(266, 1272)(267, 1403)(268, 1404)(269, 1182)(270, 1279)(271, 1183)(272, 1220)(273, 1188)(274, 1347)(275, 1412)(276, 1283)(277, 1410)(278, 1417)(279, 1189)(280, 1399)(281, 1190)(282, 1213)(283, 1424)(284, 1425)(285, 1322)(286, 1295)(287, 1194)(288, 1293)(289, 1302)(290, 1300)(291, 1434)(292, 1433)(293, 1201)(294, 1431)(295, 1301)(296, 1307)(297, 1440)(298, 1205)(299, 1243)(300, 1306)(301, 1207)(302, 1314)(303, 1309)(304, 1449)(305, 1450)(306, 1208)(307, 1316)(308, 1209)(309, 1305)(310, 1456)(311, 1318)(312, 1423)(313, 1217)(314, 1296)(315, 1463)(316, 1323)(317, 1461)(318, 1468)(319, 1218)(320, 1250)(321, 1219)(322, 1280)(323, 1475)(324, 1476)(325, 1268)(326, 1335)(327, 1223)(328, 1333)(329, 1342)(330, 1340)(331, 1485)(332, 1484)(333, 1230)(334, 1482)(335, 1341)(336, 1282)(337, 1346)(338, 1232)(339, 1344)(340, 1357)(341, 1351)(342, 1498)(343, 1497)(344, 1354)(345, 1502)(346, 1238)(347, 1242)(348, 1241)(349, 1495)(350, 1356)(351, 1355)(352, 1511)(353, 1443)(354, 1248)(355, 1246)(356, 1391)(357, 1363)(358, 1516)(359, 1247)(360, 1362)(361, 1522)(362, 1523)(363, 1263)(364, 1527)(365, 1375)(366, 1530)(367, 1529)(368, 1379)(369, 1457)(370, 1258)(371, 1496)(372, 1378)(373, 1382)(374, 1259)(375, 1377)(376, 1539)(377, 1384)(378, 1526)(379, 1265)(380, 1504)(381, 1543)(382, 1546)(383, 1266)(384, 1395)(385, 1548)(386, 1549)(387, 1269)(388, 1397)(389, 1270)(390, 1350)(391, 1402)(392, 1555)(393, 1275)(394, 1288)(395, 1401)(396, 1405)(397, 1276)(398, 1400)(399, 1563)(400, 1407)(401, 1474)(402, 1416)(403, 1568)(404, 1284)(405, 1571)(406, 1570)(407, 1575)(408, 1285)(409, 1418)(410, 1286)(411, 1299)(412, 1558)(413, 1292)(414, 1291)(415, 1460)(416, 1422)(417, 1421)(418, 1582)(419, 1583)(420, 1427)(421, 1462)(422, 1513)(423, 1297)(424, 1445)(425, 1298)(426, 1419)(427, 1562)(428, 1565)(429, 1439)(430, 1566)(431, 1594)(432, 1317)(433, 1521)(434, 1444)(435, 1512)(436, 1600)(437, 1448)(438, 1564)(439, 1312)(440, 1432)(441, 1447)(442, 1451)(443, 1313)(444, 1446)(445, 1609)(446, 1453)(447, 1598)(448, 1319)(449, 1383)(450, 1613)(451, 1616)(452, 1320)(453, 1467)(454, 1587)(455, 1324)(456, 1620)(457, 1619)(458, 1624)(459, 1325)(460, 1469)(461, 1326)(462, 1339)(463, 1374)(464, 1332)(465, 1331)(466, 1567)(467, 1473)(468, 1472)(469, 1629)(470, 1630)(471, 1478)(472, 1393)(473, 1580)(474, 1337)(475, 1505)(476, 1338)(477, 1470)(478, 1386)(479, 1389)(480, 1490)(481, 1390)(482, 1637)(483, 1640)(484, 1491)(485, 1411)(486, 1627)(487, 1348)(488, 1376)(489, 1349)(490, 1398)(491, 1455)(492, 1458)(493, 1388)(494, 1503)(495, 1353)(496, 1501)(497, 1510)(498, 1508)(499, 1459)(500, 1650)(501, 1360)(502, 1483)(503, 1509)(504, 1361)(505, 1515)(506, 1617)(507, 1430)(508, 1518)(509, 1658)(510, 1366)(511, 1370)(512, 1369)(513, 1597)(514, 1520)(515, 1519)(516, 1666)(517, 1372)(518, 1486)(519, 1525)(520, 1667)(521, 1373)(522, 1471)(523, 1672)(524, 1673)(525, 1535)(526, 1612)(527, 1676)(528, 1679)(529, 1536)(530, 1614)(531, 1385)(532, 1660)(533, 1683)(534, 1634)(535, 1487)(536, 1638)(537, 1635)(538, 1489)(539, 1514)(540, 1480)(541, 1550)(542, 1394)(543, 1481)(544, 1556)(545, 1552)(546, 1626)(547, 1406)(548, 1553)(549, 1559)(550, 1579)(551, 1691)(552, 1694)(553, 1560)(554, 1591)(555, 1408)(556, 1452)(557, 1590)(558, 1588)(559, 1409)(560, 1493)(561, 1413)(562, 1574)(563, 1569)(564, 1705)(565, 1706)(566, 1414)(567, 1576)(568, 1415)(569, 1494)(570, 1554)(571, 1420)(572, 1551)(573, 1426)(574, 1581)(575, 1428)(576, 1716)(577, 1715)(578, 1720)(579, 1429)(580, 1438)(581, 1604)(582, 1436)(583, 1435)(584, 1722)(585, 1701)(586, 1437)(587, 1608)(588, 1611)(589, 1441)(590, 1499)(591, 1726)(592, 1442)(593, 1730)(594, 1731)(595, 1605)(596, 1697)(597, 1734)(598, 1737)(599, 1606)(600, 1698)(601, 1454)(602, 1708)(603, 1724)(604, 1644)(605, 1500)(606, 1651)(607, 1645)(608, 1507)(609, 1547)(610, 1464)(611, 1623)(612, 1618)(613, 1748)(614, 1749)(615, 1465)(616, 1625)(617, 1466)(618, 1578)(619, 1577)(620, 1477)(621, 1628)(622, 1479)(623, 1758)(624, 1757)(625, 1687)(626, 1654)(627, 1686)(628, 1744)(629, 1488)(630, 1648)(631, 1696)(632, 1492)(633, 1768)(634, 1767)(635, 1700)(636, 1534)(637, 1743)(638, 1773)(639, 1646)(640, 1544)(641, 1661)(642, 1506)(643, 1538)(644, 1541)(645, 1655)(646, 1542)(647, 1780)(648, 1601)(649, 1540)(650, 1659)(651, 1517)(652, 1657)(653, 1665)(654, 1663)(655, 1788)(656, 1524)(657, 1649)(658, 1664)(659, 1669)(660, 1794)(661, 1528)(662, 1532)(663, 1531)(664, 1671)(665, 1670)(666, 1802)(667, 1803)(668, 1533)(669, 1807)(670, 1808)(671, 1537)(672, 1796)(673, 1810)(674, 1777)(675, 1652)(676, 1781)(677, 1778)(678, 1545)(679, 1762)(680, 1816)(681, 1688)(682, 1819)(683, 1557)(684, 1823)(685, 1824)(686, 1561)(687, 1751)(688, 1764)(689, 1589)(690, 1595)(691, 1592)(692, 1772)(693, 1704)(694, 1610)(695, 1572)(696, 1593)(697, 1703)(698, 1707)(699, 1573)(700, 1702)(701, 1834)(702, 1709)(703, 1692)(704, 1713)(705, 1835)(706, 1584)(707, 1719)(708, 1714)(709, 1839)(710, 1840)(711, 1585)(712, 1721)(713, 1586)(714, 1699)(715, 1830)(716, 1596)(717, 1843)(718, 1728)(719, 1845)(720, 1599)(721, 1602)(722, 1656)(723, 1729)(724, 1852)(725, 1853)(726, 1603)(727, 1857)(728, 1858)(729, 1607)(730, 1847)(731, 1860)(732, 1723)(733, 1677)(734, 1725)(735, 1615)(736, 1747)(737, 1695)(738, 1621)(739, 1636)(740, 1746)(741, 1750)(742, 1622)(743, 1745)(744, 1869)(745, 1752)(746, 1755)(747, 1870)(748, 1631)(749, 1761)(750, 1756)(751, 1874)(752, 1875)(753, 1632)(754, 1633)(755, 1865)(756, 1639)(757, 1876)(758, 1641)(759, 1771)(760, 1766)(761, 1881)(762, 1882)(763, 1642)(764, 1643)(765, 1647)(766, 1887)(767, 1886)(768, 1763)(769, 1791)(770, 1813)(771, 1877)(772, 1653)(773, 1786)(774, 1818)(775, 1849)(776, 1893)(777, 1784)(778, 1684)(779, 1797)(780, 1662)(781, 1681)(782, 1792)(783, 1682)(784, 1899)(785, 1680)(786, 1795)(787, 1668)(788, 1793)(789, 1801)(790, 1799)(791, 1837)(792, 1674)(793, 1787)(794, 1800)(795, 1805)(796, 1907)(797, 1675)(798, 1678)(799, 1741)(800, 1806)(801, 1910)(802, 1789)(803, 1900)(804, 1897)(805, 1685)(806, 1760)(807, 1848)(808, 1689)(809, 1883)(810, 1891)(811, 1821)(812, 1915)(813, 1690)(814, 1693)(815, 1711)(816, 1822)(817, 1842)(818, 1735)(819, 1765)(820, 1917)(821, 1831)(822, 1740)(823, 1920)(824, 1923)(825, 1832)(826, 1710)(827, 1712)(828, 1739)(829, 1798)(830, 1717)(831, 1838)(832, 1841)(833, 1718)(834, 1918)(835, 1742)(836, 1738)(837, 1846)(838, 1727)(839, 1844)(840, 1851)(841, 1872)(842, 1732)(843, 1815)(844, 1850)(845, 1855)(846, 1938)(847, 1733)(848, 1736)(849, 1826)(850, 1856)(851, 1932)(852, 1836)(853, 1921)(854, 1926)(855, 1770)(856, 1866)(857, 1776)(858, 1944)(859, 1947)(860, 1867)(861, 1753)(862, 1754)(863, 1775)(864, 1783)(865, 1759)(866, 1873)(867, 1814)(868, 1827)(869, 1880)(870, 1817)(871, 1769)(872, 1779)(873, 1879)(874, 1863)(875, 1878)(876, 1828)(877, 1774)(878, 1871)(879, 1885)(880, 1945)(881, 1950)(882, 1956)(883, 1782)(884, 1954)(885, 1785)(886, 1951)(887, 1936)(888, 1890)(889, 1911)(890, 1934)(891, 1790)(892, 1904)(893, 1913)(894, 1943)(895, 1902)(896, 1811)(897, 1906)(898, 1949)(899, 1908)(900, 1804)(901, 1809)(902, 1909)(903, 1812)(904, 1889)(905, 1953)(906, 1892)(907, 1916)(908, 1820)(909, 1884)(910, 1825)(911, 1975)(912, 1829)(913, 1935)(914, 1942)(915, 1833)(916, 1955)(917, 1976)(918, 1941)(919, 1928)(920, 1948)(921, 1946)(922, 1929)(923, 1925)(924, 1940)(925, 1898)(926, 1933)(927, 1861)(928, 1937)(929, 1895)(930, 1939)(931, 1854)(932, 1859)(933, 1862)(934, 1958)(935, 1903)(936, 1864)(937, 1959)(938, 1930)(939, 1868)(940, 1927)(941, 1905)(942, 1912)(943, 1952)(944, 1894)(945, 1901)(946, 1914)(947, 1957)(948, 1896)(949, 1924)(950, 1922)(951, 1888)(952, 1996)(953, 1985)(954, 1983)(955, 1994)(956, 1997)(957, 1962)(958, 1972)(959, 1995)(960, 1967)(961, 1970)(962, 1990)(963, 1961)(964, 1992)(965, 1963)(966, 1919)(967, 1974)(968, 1931)(969, 2004)(970, 1981)(971, 1987)(972, 1988)(973, 1989)(974, 1980)(975, 1965)(976, 1977)(977, 1971)(978, 1979)(979, 1986)(980, 1982)(981, 1978)(982, 1969)(983, 1964)(984, 1966)(985, 1960)(986, 1973)(987, 1968)(988, 1993)(989, 1991)(990, 2007)(991, 2011)(992, 2009)(993, 2002)(994, 2008)(995, 1999)(996, 1984)(997, 2006)(998, 2010)(999, 2013)(1000, 2001)(1001, 2012)(1002, 2005)(1003, 2003)(1004, 2000)(1005, 1998)(1006, 2016)(1007, 2014)(1008, 2015)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E22.1766
Transitivity :: ET+ VT+ AT
Graph::
	v = 126 e = 1008 f = 840
	degree seq :: [ 16^126 ]

E22.1776 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^3, T1^8, T1^8, (T2 * T1^3 * T2 * T1^-2 * T2 * T1^3)^2, (T1^-2 * T2 * T1^3 * T2 * T1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 1009, 3, 1011)(2, 1010, 6, 1014)(4, 1012, 9, 1017)(5, 1013, 12, 1020)(7, 1015, 16, 1024)(8, 1016, 13, 1021)(10, 1018, 19, 1027)(11, 1019, 22, 1030)(14, 1022, 23, 1031)(15, 1023, 28, 1036)(17, 1025, 30, 1038)(18, 1026, 33, 1041)(20, 1028, 35, 1043)(21, 1029, 36, 1044)(24, 1032, 37, 1045)(25, 1033, 42, 1050)(26, 1034, 43, 1051)(27, 1035, 46, 1054)(29, 1037, 47, 1055)(31, 1039, 51, 1059)(32, 1040, 53, 1061)(34, 1042, 56, 1064)(38, 1046, 58, 1066)(39, 1047, 63, 1071)(40, 1048, 64, 1072)(41, 1049, 67, 1075)(44, 1052, 70, 1078)(45, 1053, 71, 1079)(48, 1056, 72, 1080)(49, 1057, 76, 1084)(50, 1058, 79, 1087)(52, 1060, 81, 1089)(54, 1062, 82, 1090)(55, 1063, 86, 1094)(57, 1065, 59, 1067)(60, 1068, 92, 1100)(61, 1069, 93, 1101)(62, 1070, 96, 1104)(65, 1073, 99, 1107)(66, 1074, 100, 1108)(68, 1076, 101, 1109)(69, 1077, 105, 1113)(73, 1081, 107, 1115)(74, 1082, 112, 1120)(75, 1083, 113, 1121)(77, 1085, 116, 1124)(78, 1086, 118, 1126)(80, 1088, 108, 1116)(83, 1091, 121, 1129)(84, 1092, 125, 1133)(85, 1093, 127, 1135)(87, 1095, 128, 1136)(88, 1096, 132, 1140)(89, 1097, 134, 1142)(90, 1098, 135, 1143)(91, 1099, 138, 1146)(94, 1102, 141, 1149)(95, 1103, 142, 1150)(97, 1105, 143, 1151)(98, 1106, 147, 1155)(102, 1110, 149, 1157)(103, 1111, 153, 1161)(104, 1112, 156, 1164)(106, 1114, 150, 1158)(109, 1117, 162, 1170)(110, 1118, 163, 1171)(111, 1119, 166, 1174)(114, 1122, 169, 1177)(115, 1123, 171, 1179)(117, 1125, 173, 1181)(119, 1127, 174, 1182)(120, 1128, 178, 1186)(122, 1130, 172, 1180)(123, 1131, 182, 1190)(124, 1132, 183, 1191)(126, 1134, 186, 1194)(129, 1137, 187, 1195)(130, 1138, 191, 1199)(131, 1139, 193, 1201)(133, 1141, 196, 1204)(136, 1144, 199, 1207)(137, 1145, 200, 1208)(139, 1147, 201, 1209)(140, 1148, 205, 1213)(144, 1152, 207, 1215)(145, 1153, 211, 1219)(146, 1154, 214, 1222)(148, 1156, 208, 1216)(151, 1159, 220, 1228)(152, 1160, 221, 1229)(154, 1162, 224, 1232)(155, 1163, 225, 1233)(157, 1165, 226, 1234)(158, 1166, 230, 1238)(159, 1167, 232, 1240)(160, 1168, 233, 1241)(161, 1169, 236, 1244)(164, 1172, 239, 1247)(165, 1173, 240, 1248)(167, 1175, 241, 1249)(168, 1176, 245, 1253)(170, 1178, 248, 1256)(175, 1183, 251, 1259)(176, 1184, 255, 1263)(177, 1185, 257, 1265)(179, 1187, 260, 1268)(180, 1188, 261, 1269)(181, 1189, 264, 1272)(184, 1192, 267, 1275)(185, 1193, 269, 1277)(188, 1196, 270, 1278)(189, 1197, 274, 1282)(190, 1198, 275, 1283)(192, 1200, 278, 1286)(194, 1202, 279, 1287)(195, 1203, 282, 1290)(197, 1205, 283, 1291)(198, 1206, 287, 1295)(202, 1210, 289, 1297)(203, 1211, 293, 1301)(204, 1212, 296, 1304)(206, 1214, 290, 1298)(209, 1217, 302, 1310)(210, 1218, 303, 1311)(212, 1220, 306, 1314)(213, 1221, 307, 1315)(215, 1223, 308, 1316)(216, 1224, 312, 1320)(217, 1225, 314, 1322)(218, 1226, 315, 1323)(219, 1227, 318, 1326)(222, 1230, 321, 1329)(223, 1231, 323, 1331)(227, 1235, 325, 1333)(228, 1236, 329, 1337)(229, 1237, 331, 1339)(231, 1239, 334, 1342)(234, 1242, 337, 1345)(235, 1243, 338, 1346)(237, 1245, 339, 1347)(238, 1246, 343, 1351)(242, 1250, 345, 1353)(243, 1251, 349, 1357)(244, 1252, 352, 1360)(246, 1254, 346, 1354)(247, 1255, 355, 1363)(249, 1257, 356, 1364)(250, 1258, 360, 1368)(252, 1260, 324, 1332)(253, 1261, 364, 1372)(254, 1262, 365, 1373)(256, 1264, 368, 1376)(258, 1266, 369, 1377)(259, 1267, 373, 1381)(262, 1270, 376, 1384)(263, 1271, 377, 1385)(265, 1273, 378, 1386)(266, 1274, 382, 1390)(268, 1276, 385, 1393)(271, 1279, 389, 1397)(272, 1280, 390, 1398)(273, 1281, 393, 1401)(276, 1284, 396, 1404)(277, 1285, 398, 1406)(280, 1288, 399, 1407)(281, 1289, 402, 1410)(284, 1292, 404, 1412)(285, 1293, 408, 1416)(286, 1294, 411, 1419)(288, 1296, 405, 1413)(291, 1299, 417, 1425)(292, 1300, 418, 1426)(294, 1302, 421, 1429)(295, 1303, 422, 1430)(297, 1305, 423, 1431)(298, 1306, 427, 1435)(299, 1307, 429, 1437)(300, 1308, 430, 1438)(301, 1309, 433, 1441)(304, 1312, 436, 1444)(305, 1313, 438, 1446)(309, 1317, 440, 1448)(310, 1318, 444, 1452)(311, 1319, 446, 1454)(313, 1321, 449, 1457)(316, 1324, 452, 1460)(317, 1325, 453, 1461)(319, 1327, 454, 1462)(320, 1328, 458, 1466)(322, 1330, 461, 1469)(326, 1334, 439, 1447)(327, 1335, 467, 1475)(328, 1336, 468, 1476)(330, 1338, 471, 1479)(332, 1340, 472, 1480)(333, 1341, 475, 1483)(335, 1343, 476, 1484)(336, 1344, 480, 1488)(340, 1348, 482, 1490)(341, 1349, 485, 1493)(342, 1350, 488, 1496)(344, 1352, 483, 1491)(347, 1355, 494, 1502)(348, 1356, 495, 1503)(350, 1358, 498, 1506)(351, 1359, 469, 1477)(353, 1361, 499, 1507)(354, 1362, 501, 1509)(357, 1365, 502, 1510)(358, 1366, 505, 1513)(359, 1367, 507, 1515)(361, 1369, 510, 1518)(362, 1370, 511, 1519)(363, 1371, 514, 1522)(366, 1374, 517, 1525)(367, 1375, 519, 1527)(370, 1378, 520, 1528)(371, 1379, 424, 1432)(372, 1380, 523, 1531)(374, 1382, 524, 1532)(375, 1383, 527, 1535)(379, 1387, 529, 1537)(380, 1388, 533, 1541)(381, 1389, 516, 1524)(383, 1391, 530, 1538)(384, 1392, 536, 1544)(386, 1394, 537, 1545)(387, 1395, 540, 1548)(388, 1396, 518, 1526)(391, 1399, 544, 1552)(392, 1400, 545, 1553)(394, 1402, 546, 1554)(395, 1403, 457, 1465)(397, 1405, 509, 1517)(400, 1408, 555, 1563)(401, 1409, 556, 1564)(403, 1411, 487, 1495)(406, 1414, 561, 1569)(407, 1415, 562, 1570)(409, 1417, 565, 1573)(410, 1418, 566, 1574)(412, 1420, 567, 1575)(413, 1421, 571, 1579)(414, 1422, 573, 1581)(415, 1423, 574, 1582)(416, 1424, 577, 1585)(419, 1427, 579, 1587)(420, 1428, 581, 1589)(425, 1433, 586, 1594)(426, 1434, 588, 1596)(428, 1436, 591, 1599)(431, 1439, 594, 1602)(432, 1440, 595, 1603)(434, 1442, 596, 1604)(435, 1443, 599, 1607)(437, 1445, 602, 1610)(441, 1449, 582, 1590)(442, 1450, 607, 1615)(443, 1451, 608, 1616)(445, 1453, 610, 1618)(447, 1455, 611, 1619)(448, 1456, 614, 1622)(450, 1458, 615, 1623)(451, 1459, 619, 1627)(455, 1463, 621, 1629)(456, 1464, 624, 1632)(459, 1467, 622, 1630)(460, 1468, 609, 1617)(462, 1470, 628, 1636)(463, 1471, 630, 1638)(464, 1472, 631, 1639)(465, 1473, 632, 1640)(466, 1474, 635, 1643)(470, 1478, 637, 1645)(473, 1481, 638, 1646)(474, 1482, 568, 1576)(477, 1485, 641, 1649)(478, 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1729)(563, 1571, 723, 1731)(569, 1577, 729, 1737)(570, 1578, 731, 1739)(572, 1580, 733, 1741)(575, 1583, 735, 1743)(576, 1584, 736, 1744)(578, 1586, 737, 1745)(580, 1588, 742, 1750)(583, 1591, 725, 1733)(584, 1592, 745, 1753)(587, 1595, 747, 1755)(589, 1597, 748, 1756)(590, 1598, 749, 1757)(592, 1600, 750, 1758)(593, 1601, 752, 1760)(597, 1605, 754, 1762)(598, 1606, 757, 1765)(600, 1608, 755, 1763)(601, 1609, 746, 1754)(603, 1611, 760, 1768)(604, 1612, 762, 1770)(605, 1613, 763, 1771)(606, 1614, 765, 1773)(612, 1620, 767, 1775)(616, 1624, 769, 1777)(617, 1625, 772, 1780)(618, 1626, 773, 1781)(620, 1628, 770, 1778)(623, 1631, 777, 1785)(625, 1633, 779, 1787)(627, 1635, 780, 1788)(629, 1637, 781, 1789)(633, 1641, 784, 1792)(634, 1642, 785, 1793)(636, 1644, 786, 1794)(639, 1647, 728, 1736)(640, 1648, 790, 1798)(643, 1651, 793, 1801)(646, 1654, 726, 1734)(648, 1656, 794, 1802)(649, 1657, 797, 1805)(650, 1658, 799, 1807)(652, 1660, 802, 1810)(659, 1667, 805, 1813)(660, 1668, 806, 1814)(662, 1670, 807, 1815)(668, 1676, 814, 1822)(669, 1677, 816, 1824)(673, 1681, 818, 1826)(674, 1682, 795, 1803)(677, 1685, 821, 1829)(681, 1689, 815, 1823)(682, 1690, 825, 1833)(683, 1691, 822, 1830)(686, 1694, 828, 1836)(690, 1698, 830, 1838)(692, 1700, 724, 1732)(693, 1701, 832, 1840)(694, 1702, 834, 1842)(696, 1704, 803, 1811)(697, 1705, 836, 1844)(700, 1708, 837, 1845)(701, 1709, 791, 1799)(703, 1711, 839, 1847)(704, 1712, 841, 1849)(707, 1715, 843, 1851)(708, 1716, 768, 1776)(710, 1718, 845, 1853)(711, 1719, 820, 1828)(712, 1720, 847, 1855)(714, 1722, 812, 1820)(715, 1723, 811, 1819)(716, 1724, 850, 1858)(719, 1727, 851, 1859)(720, 1728, 852, 1860)(722, 1730, 853, 1861)(727, 1735, 857, 1865)(730, 1738, 859, 1867)(732, 1740, 860, 1868)(734, 1742, 861, 1869)(738, 1746, 863, 1871)(739, 1747, 866, 1874)(740, 1748, 864, 1872)(741, 1749, 858, 1866)(743, 1751, 868, 1876)(744, 1752, 870, 1878)(751, 1759, 874, 1882)(753, 1761, 872, 1880)(756, 1764, 878, 1886)(758, 1766, 880, 1888)(759, 1767, 881, 1889)(761, 1769, 882, 1890)(764, 1772, 885, 1893)(766, 1774, 886, 1894)(771, 1779, 890, 1898)(774, 1782, 891, 1899)(775, 1783, 893, 1901)(776, 1784, 895, 1903)(778, 1786, 898, 1906)(782, 1790, 899, 1907)(783, 1791, 901, 1909)(787, 1795, 900, 1908)(788, 1796, 904, 1912)(789, 1797, 906, 1914)(792, 1800, 897, 1905)(796, 1804, 911, 1919)(798, 1806, 912, 1920)(800, 1808, 913, 1921)(801, 1809, 917, 1925)(804, 1812, 920, 1928)(808, 1816, 921, 1929)(809, 1817, 924, 1932)(810, 1818, 922, 1930)(813, 1821, 927, 1935)(817, 1825, 884, 1892)(819, 1827, 910, 1918)(823, 1831, 930, 1938)(824, 1832, 892, 1900)(826, 1834, 932, 1940)(827, 1835, 933, 1941)(829, 1837, 888, 1896)(831, 1839, 919, 1927)(833, 1841, 937, 1945)(835, 1843, 938, 1946)(838, 1846, 873, 1881)(840, 1848, 907, 1915)(842, 1850, 945, 1953)(844, 1852, 855, 1863)(846, 1854, 928, 1936)(848, 1856, 947, 1955)(849, 1857, 948, 1956)(854, 1862, 950, 1958)(856, 1864, 953, 1961)(862, 1870, 955, 1963)(865, 1873, 959, 1967)(867, 1875, 961, 1969)(869, 1877, 963, 1971)(871, 1879, 964, 1972)(875, 1883, 966, 1974)(876, 1884, 968, 1976)(877, 1885, 970, 1978)(879, 1887, 973, 1981)(883, 1891, 974, 1982)(887, 1895, 975, 1983)(889, 1897, 972, 1980)(894, 1902, 980, 1988)(896, 1904, 981, 1989)(902, 1910, 986, 1994)(903, 1911, 967, 1975)(905, 1913, 988, 1996)(908, 1916, 984, 1992)(909, 1917, 960, 1968)(914, 1922, 976, 1984)(915, 1923, 954, 1962)(916, 1924, 990, 1998)(918, 1926, 991, 1999)(923, 1931, 994, 2002)(925, 1933, 985, 1993)(926, 1934, 995, 2003)(929, 1937, 949, 1957)(931, 1939, 979, 1987)(934, 1942, 982, 1990)(935, 1943, 992, 2000)(936, 1944, 956, 1964)(939, 1947, 978, 1986)(940, 1948, 997, 2005)(941, 1949, 957, 1965)(942, 1950, 962, 1970)(943, 1951, 993, 2001)(944, 1952, 989, 1997)(946, 1954, 983, 1991)(951, 1959, 998, 2006)(952, 1960, 999, 2007)(958, 1966, 1002, 2010)(965, 1973, 1003, 2011)(969, 1977, 1005, 2013)(971, 1979, 1006, 2014)(977, 1985, 1000, 2008)(987, 1995, 1004, 2012)(996, 2004, 1007, 2015)(1001, 2009, 1008, 2016)
	L = (1, 1010)(2, 1013)(3, 1015)(4, 1009)(5, 1019)(6, 1021)(7, 1023)(8, 1011)(9, 1026)(10, 1012)(11, 1029)(12, 1031)(13, 1033)(14, 1014)(15, 1035)(16, 1017)(17, 1016)(18, 1040)(19, 1042)(20, 1018)(21, 1028)(22, 1045)(23, 1047)(24, 1020)(25, 1049)(26, 1022)(27, 1053)(28, 1055)(29, 1024)(30, 1058)(31, 1025)(32, 1060)(33, 1027)(34, 1063)(35, 1065)(36, 1066)(37, 1068)(38, 1030)(39, 1070)(40, 1032)(41, 1074)(42, 1038)(43, 1077)(44, 1034)(45, 1039)(46, 1080)(47, 1082)(48, 1036)(49, 1037)(50, 1086)(51, 1088)(52, 1085)(53, 1090)(54, 1041)(55, 1093)(56, 1043)(57, 1096)(58, 1097)(59, 1044)(60, 1099)(61, 1046)(62, 1103)(63, 1051)(64, 1106)(65, 1048)(66, 1052)(67, 1109)(68, 1050)(69, 1112)(70, 1114)(71, 1115)(72, 1117)(73, 1054)(74, 1119)(75, 1056)(76, 1123)(77, 1057)(78, 1125)(79, 1059)(80, 1128)(81, 1129)(82, 1131)(83, 1061)(84, 1062)(85, 1134)(86, 1136)(87, 1064)(88, 1139)(89, 1141)(90, 1067)(91, 1145)(92, 1072)(93, 1148)(94, 1069)(95, 1073)(96, 1151)(97, 1071)(98, 1154)(99, 1156)(100, 1157)(101, 1159)(102, 1075)(103, 1076)(104, 1163)(105, 1078)(106, 1166)(107, 1167)(108, 1079)(109, 1169)(110, 1081)(111, 1173)(112, 1084)(113, 1176)(114, 1083)(115, 1178)(116, 1180)(117, 1162)(118, 1182)(119, 1087)(120, 1185)(121, 1187)(122, 1089)(123, 1189)(124, 1091)(125, 1193)(126, 1092)(127, 1195)(128, 1197)(129, 1094)(130, 1095)(131, 1200)(132, 1143)(133, 1203)(134, 1101)(135, 1206)(136, 1098)(137, 1102)(138, 1209)(139, 1100)(140, 1212)(141, 1214)(142, 1215)(143, 1217)(144, 1104)(145, 1105)(146, 1221)(147, 1107)(148, 1224)(149, 1225)(150, 1108)(151, 1227)(152, 1110)(153, 1231)(154, 1111)(155, 1220)(156, 1234)(157, 1113)(158, 1237)(159, 1239)(160, 1116)(161, 1243)(162, 1121)(163, 1246)(164, 1118)(165, 1122)(166, 1249)(167, 1120)(168, 1252)(169, 1254)(170, 1255)(171, 1124)(172, 1258)(173, 1259)(174, 1261)(175, 1126)(176, 1127)(177, 1264)(178, 1241)(179, 1267)(180, 1130)(181, 1271)(182, 1133)(183, 1274)(184, 1132)(185, 1276)(186, 1278)(187, 1279)(188, 1135)(189, 1281)(190, 1137)(191, 1285)(192, 1138)(193, 1287)(194, 1140)(195, 1144)(196, 1291)(197, 1142)(198, 1294)(199, 1296)(200, 1297)(201, 1299)(202, 1146)(203, 1147)(204, 1303)(205, 1149)(206, 1306)(207, 1307)(208, 1150)(209, 1309)(210, 1152)(211, 1313)(212, 1153)(213, 1302)(214, 1316)(215, 1155)(216, 1319)(217, 1321)(218, 1158)(219, 1325)(220, 1161)(221, 1328)(222, 1160)(223, 1330)(224, 1332)(225, 1333)(226, 1335)(227, 1164)(228, 1165)(229, 1338)(230, 1323)(231, 1341)(232, 1171)(233, 1344)(234, 1168)(235, 1172)(236, 1347)(237, 1170)(238, 1350)(239, 1352)(240, 1353)(241, 1355)(242, 1174)(243, 1175)(244, 1359)(245, 1177)(246, 1362)(247, 1358)(248, 1364)(249, 1179)(250, 1367)(251, 1369)(252, 1181)(253, 1371)(254, 1183)(255, 1375)(256, 1184)(257, 1377)(258, 1186)(259, 1380)(260, 1191)(261, 1383)(262, 1188)(263, 1192)(264, 1386)(265, 1190)(266, 1389)(267, 1391)(268, 1392)(269, 1194)(270, 1395)(271, 1396)(272, 1196)(273, 1400)(274, 1199)(275, 1403)(276, 1198)(277, 1405)(278, 1407)(279, 1408)(280, 1201)(281, 1202)(282, 1412)(283, 1414)(284, 1204)(285, 1205)(286, 1418)(287, 1207)(288, 1421)(289, 1422)(290, 1208)(291, 1424)(292, 1210)(293, 1428)(294, 1211)(295, 1417)(296, 1431)(297, 1213)(298, 1434)(299, 1436)(300, 1216)(301, 1440)(302, 1219)(303, 1443)(304, 1218)(305, 1445)(306, 1447)(307, 1448)(308, 1450)(309, 1222)(310, 1223)(311, 1453)(312, 1438)(313, 1456)(314, 1229)(315, 1459)(316, 1226)(317, 1230)(318, 1462)(319, 1228)(320, 1465)(321, 1467)(322, 1468)(323, 1232)(324, 1471)(325, 1472)(326, 1233)(327, 1474)(328, 1235)(329, 1478)(330, 1236)(331, 1480)(332, 1238)(333, 1242)(334, 1484)(335, 1240)(336, 1487)(337, 1489)(338, 1490)(339, 1492)(340, 1244)(341, 1245)(342, 1495)(343, 1247)(344, 1498)(345, 1499)(346, 1248)(347, 1501)(348, 1250)(349, 1505)(350, 1251)(351, 1494)(352, 1507)(353, 1253)(354, 1508)(355, 1510)(356, 1512)(357, 1256)(358, 1257)(359, 1514)(360, 1269)(361, 1517)(362, 1260)(363, 1521)(364, 1263)(365, 1524)(366, 1262)(367, 1526)(368, 1528)(369, 1529)(370, 1265)(371, 1266)(372, 1270)(373, 1532)(374, 1268)(375, 1534)(376, 1536)(377, 1537)(378, 1539)(379, 1272)(380, 1273)(381, 1525)(382, 1275)(383, 1543)(384, 1542)(385, 1545)(386, 1277)(387, 1547)(388, 1549)(389, 1283)(390, 1551)(391, 1280)(392, 1284)(393, 1554)(394, 1282)(395, 1557)(396, 1558)(397, 1559)(398, 1286)(399, 1561)(400, 1562)(401, 1288)(402, 1496)(403, 1289)(404, 1566)(405, 1290)(406, 1568)(407, 1292)(408, 1572)(409, 1293)(410, 1411)(411, 1575)(412, 1295)(413, 1578)(414, 1580)(415, 1298)(416, 1584)(417, 1301)(418, 1361)(419, 1300)(420, 1588)(421, 1590)(422, 1379)(423, 1592)(424, 1304)(425, 1305)(426, 1595)(427, 1582)(428, 1598)(429, 1311)(430, 1601)(431, 1308)(432, 1312)(433, 1604)(434, 1310)(435, 1390)(436, 1608)(437, 1609)(438, 1314)(439, 1612)(440, 1365)(441, 1315)(442, 1614)(443, 1317)(444, 1348)(445, 1318)(446, 1619)(447, 1320)(448, 1324)(449, 1623)(450, 1322)(451, 1626)(452, 1628)(453, 1629)(454, 1631)(455, 1326)(456, 1327)(457, 1404)(458, 1329)(459, 1635)(460, 1633)(461, 1636)(462, 1331)(463, 1637)(464, 1393)(465, 1334)(466, 1642)(467, 1337)(468, 1360)(469, 1336)(470, 1381)(471, 1646)(472, 1647)(473, 1339)(474, 1340)(475, 1649)(476, 1651)(477, 1342)(478, 1343)(479, 1591)(480, 1345)(481, 1599)(482, 1618)(483, 1346)(484, 1658)(485, 1660)(486, 1349)(487, 1654)(488, 1662)(489, 1351)(490, 1596)(491, 1579)(492, 1354)(493, 1668)(494, 1357)(495, 1634)(496, 1356)(497, 1672)(498, 1674)(499, 1587)(500, 1581)(501, 1666)(502, 1616)(503, 1363)(504, 1613)(505, 1624)(506, 1366)(507, 1680)(508, 1368)(509, 1683)(510, 1373)(511, 1685)(512, 1370)(513, 1374)(514, 1688)(515, 1372)(516, 1607)(517, 1691)(518, 1692)(519, 1376)(520, 1694)(521, 1610)(522, 1378)(523, 1645)(524, 1698)(525, 1382)(526, 1573)(527, 1384)(528, 1620)(529, 1597)(530, 1385)(531, 1702)(532, 1387)(533, 1705)(534, 1388)(535, 1600)(536, 1639)(537, 1641)(538, 1394)(539, 1709)(540, 1398)(541, 1399)(542, 1397)(543, 1589)(544, 1648)(545, 1621)(546, 1715)(547, 1401)(548, 1402)(549, 1671)(550, 1625)(551, 1718)(552, 1406)(553, 1720)(554, 1722)(555, 1410)(556, 1611)(557, 1409)(558, 1724)(559, 1413)(560, 1728)(561, 1416)(562, 1470)(563, 1415)(564, 1732)(565, 1733)(566, 1482)(567, 1735)(568, 1419)(569, 1420)(570, 1738)(571, 1726)(572, 1740)(573, 1426)(574, 1742)(575, 1423)(576, 1427)(577, 1745)(578, 1425)(579, 1748)(580, 1749)(581, 1429)(582, 1751)(583, 1430)(584, 1752)(585, 1432)(586, 1463)(587, 1433)(588, 1756)(589, 1435)(590, 1439)(591, 1758)(592, 1437)(593, 1759)(594, 1761)(595, 1762)(596, 1764)(597, 1441)(598, 1442)(599, 1444)(600, 1767)(601, 1766)(602, 1768)(603, 1446)(604, 1769)(605, 1449)(606, 1772)(607, 1452)(608, 1469)(609, 1451)(610, 1775)(611, 1776)(612, 1454)(613, 1455)(614, 1777)(615, 1779)(616, 1457)(617, 1458)(618, 1734)(619, 1460)(620, 1741)(621, 1755)(622, 1461)(623, 1784)(624, 1786)(625, 1464)(626, 1466)(627, 1739)(628, 1731)(629, 1725)(630, 1519)(631, 1476)(632, 1791)(633, 1473)(634, 1477)(635, 1794)(636, 1475)(637, 1479)(638, 1797)(639, 1750)(640, 1481)(641, 1799)(642, 1483)(643, 1800)(644, 1485)(645, 1781)(646, 1486)(647, 1802)(648, 1488)(649, 1491)(650, 1774)(651, 1493)(652, 1809)(653, 1793)(654, 1811)(655, 1497)(656, 1805)(657, 1503)(658, 1812)(659, 1500)(660, 1504)(661, 1815)(662, 1502)(663, 1818)(664, 1819)(665, 1506)(666, 1821)(667, 1822)(668, 1509)(669, 1511)(670, 1513)(671, 1826)(672, 1827)(673, 1515)(674, 1516)(675, 1520)(676, 1518)(677, 1810)(678, 1828)(679, 1823)(680, 1831)(681, 1522)(682, 1523)(683, 1533)(684, 1834)(685, 1527)(686, 1835)(687, 1820)(688, 1530)(689, 1531)(690, 1796)(691, 1839)(692, 1535)(693, 1538)(694, 1841)(695, 1541)(696, 1540)(697, 1729)(698, 1845)(699, 1840)(700, 1544)(701, 1546)(702, 1847)(703, 1548)(704, 1550)(705, 1552)(706, 1553)(707, 1850)(708, 1555)(709, 1746)(710, 1556)(711, 1560)(712, 1854)(713, 1564)(714, 1565)(715, 1563)(716, 1857)(717, 1570)(718, 1667)(719, 1567)(720, 1571)(721, 1861)(722, 1569)(723, 1677)(724, 1863)(725, 1682)(726, 1574)(727, 1864)(728, 1576)(729, 1605)(730, 1577)(731, 1665)(732, 1583)(733, 1675)(734, 1701)(735, 1870)(736, 1871)(737, 1873)(738, 1585)(739, 1586)(740, 1708)(741, 1875)(742, 1713)(743, 1711)(744, 1877)(745, 1594)(746, 1593)(747, 1664)(748, 1663)(749, 1650)(750, 1881)(751, 1714)(752, 1602)(753, 1858)(754, 1867)(755, 1603)(756, 1885)(757, 1887)(758, 1606)(759, 1684)(760, 1696)(761, 1721)(762, 1640)(763, 1892)(764, 1617)(765, 1894)(766, 1615)(767, 1896)(768, 1700)(769, 1679)(770, 1622)(771, 1897)(772, 1882)(773, 1899)(774, 1627)(775, 1630)(776, 1879)(777, 1632)(778, 1905)(779, 1893)(780, 1901)(781, 1907)(782, 1638)(783, 1906)(784, 1652)(785, 1908)(786, 1910)(787, 1643)(788, 1644)(789, 1913)(790, 1693)(791, 1915)(792, 1909)(793, 1653)(794, 1917)(795, 1655)(796, 1656)(797, 1902)(798, 1657)(799, 1921)(800, 1659)(801, 1924)(802, 1661)(803, 1926)(804, 1927)(805, 1859)(806, 1929)(807, 1931)(808, 1669)(809, 1670)(810, 1712)(811, 1933)(812, 1673)(813, 1934)(814, 1900)(815, 1676)(816, 1860)(817, 1678)(818, 1936)(819, 1925)(820, 1681)(821, 1686)(822, 1687)(823, 1937)(824, 1689)(825, 1922)(826, 1690)(827, 1914)(828, 1695)(829, 1697)(830, 1699)(831, 1943)(832, 1944)(833, 1704)(834, 1946)(835, 1703)(836, 1706)(837, 1949)(838, 1707)(839, 1950)(840, 1710)(841, 1951)(842, 1952)(843, 1717)(844, 1716)(845, 1889)(846, 1719)(847, 1890)(848, 1723)(849, 1727)(850, 1789)(851, 1848)(852, 1844)(853, 1957)(854, 1730)(855, 1959)(856, 1960)(857, 1737)(858, 1736)(859, 1788)(860, 1778)(861, 1743)(862, 1855)(863, 1853)(864, 1744)(865, 1966)(866, 1968)(867, 1747)(868, 1771)(869, 1754)(870, 1972)(871, 1753)(872, 1757)(873, 1804)(874, 1974)(875, 1760)(876, 1763)(877, 1962)(878, 1765)(879, 1980)(880, 1971)(881, 1976)(882, 1982)(883, 1770)(884, 1981)(885, 1983)(886, 1984)(887, 1773)(888, 1806)(889, 1825)(890, 1780)(891, 1987)(892, 1782)(893, 1977)(894, 1783)(895, 1989)(896, 1785)(897, 1992)(898, 1787)(899, 1975)(900, 1790)(901, 1792)(902, 1993)(903, 1795)(904, 1990)(905, 1837)(906, 1798)(907, 1956)(908, 1801)(909, 1969)(910, 1803)(911, 1816)(912, 1996)(913, 1978)(914, 1807)(915, 1808)(916, 1961)(917, 1829)(918, 1856)(919, 1830)(920, 1813)(921, 1846)(922, 1814)(923, 1967)(924, 1994)(925, 1817)(926, 1836)(927, 1824)(928, 1963)(929, 1958)(930, 1833)(931, 1832)(932, 1849)(933, 2003)(934, 1838)(935, 1973)(936, 2001)(937, 1986)(938, 1979)(939, 1842)(940, 1843)(941, 2004)(942, 2000)(943, 1985)(944, 1852)(945, 1991)(946, 1851)(947, 1995)(948, 1880)(949, 1948)(950, 1939)(951, 1862)(952, 1866)(953, 1923)(954, 1865)(955, 1868)(956, 1869)(957, 1872)(958, 1954)(959, 1874)(960, 1919)(961, 2007)(962, 1876)(963, 2011)(964, 1942)(965, 1878)(966, 2012)(967, 1883)(968, 2009)(969, 1884)(970, 2014)(971, 1886)(972, 1947)(973, 1888)(974, 2008)(975, 1891)(976, 1940)(977, 1895)(978, 1898)(979, 2006)(980, 1920)(981, 2010)(982, 1903)(983, 1904)(984, 1953)(985, 1955)(986, 1912)(987, 1911)(988, 1941)(989, 1916)(990, 1918)(991, 1945)(992, 1928)(993, 1930)(994, 1932)(995, 2015)(996, 1935)(997, 1938)(998, 1997)(999, 1998)(1000, 1964)(1001, 1965)(1002, 2002)(1003, 1970)(1004, 1999)(1005, 1988)(1006, 2005)(1007, 2016)(1008, 2013)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1768
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 504 e = 1008 f = 462
	degree seq :: [ 4^504 ]

E22.1777 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, T1^8, (T1 * T2 * T1^-2 * T2 * T1)^3, T1 * T2 * T1^-2 * T2 * T1^3 * T2 * T1^2 * T2 * T1^3 * T2 * T1^-2 * T2 * T1, T2 * T1^-4 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^4 ]
Map:: polyhedral non-degenerate
	R = (1, 1009, 3, 1011)(2, 1010, 6, 1014)(4, 1012, 9, 1017)(5, 1013, 12, 1020)(7, 1015, 16, 1024)(8, 1016, 13, 1021)(10, 1018, 19, 1027)(11, 1019, 22, 1030)(14, 1022, 23, 1031)(15, 1023, 28, 1036)(17, 1025, 30, 1038)(18, 1026, 33, 1041)(20, 1028, 35, 1043)(21, 1029, 36, 1044)(24, 1032, 37, 1045)(25, 1033, 42, 1050)(26, 1034, 43, 1051)(27, 1035, 46, 1054)(29, 1037, 47, 1055)(31, 1039, 51, 1059)(32, 1040, 53, 1061)(34, 1042, 56, 1064)(38, 1046, 58, 1066)(39, 1047, 63, 1071)(40, 1048, 64, 1072)(41, 1049, 67, 1075)(44, 1052, 70, 1078)(45, 1053, 71, 1079)(48, 1056, 72, 1080)(49, 1057, 76, 1084)(50, 1058, 79, 1087)(52, 1060, 81, 1089)(54, 1062, 82, 1090)(55, 1063, 86, 1094)(57, 1065, 59, 1067)(60, 1068, 92, 1100)(61, 1069, 93, 1101)(62, 1070, 96, 1104)(65, 1073, 99, 1107)(66, 1074, 100, 1108)(68, 1076, 101, 1109)(69, 1077, 105, 1113)(73, 1081, 107, 1115)(74, 1082, 112, 1120)(75, 1083, 113, 1121)(77, 1085, 116, 1124)(78, 1086, 118, 1126)(80, 1088, 108, 1116)(83, 1091, 121, 1129)(84, 1092, 125, 1133)(85, 1093, 127, 1135)(87, 1095, 128, 1136)(88, 1096, 132, 1140)(89, 1097, 134, 1142)(90, 1098, 135, 1143)(91, 1099, 138, 1146)(94, 1102, 141, 1149)(95, 1103, 142, 1150)(97, 1105, 143, 1151)(98, 1106, 147, 1155)(102, 1110, 149, 1157)(103, 1111, 153, 1161)(104, 1112, 156, 1164)(106, 1114, 150, 1158)(109, 1117, 162, 1170)(110, 1118, 163, 1171)(111, 1119, 166, 1174)(114, 1122, 169, 1177)(115, 1123, 171, 1179)(117, 1125, 173, 1181)(119, 1127, 174, 1182)(120, 1128, 178, 1186)(122, 1130, 172, 1180)(123, 1131, 182, 1190)(124, 1132, 183, 1191)(126, 1134, 186, 1194)(129, 1137, 187, 1195)(130, 1138, 191, 1199)(131, 1139, 193, 1201)(133, 1141, 196, 1204)(136, 1144, 199, 1207)(137, 1145, 200, 1208)(139, 1147, 201, 1209)(140, 1148, 205, 1213)(144, 1152, 207, 1215)(145, 1153, 211, 1219)(146, 1154, 214, 1222)(148, 1156, 208, 1216)(151, 1159, 220, 1228)(152, 1160, 221, 1229)(154, 1162, 224, 1232)(155, 1163, 225, 1233)(157, 1165, 226, 1234)(158, 1166, 230, 1238)(159, 1167, 232, 1240)(160, 1168, 233, 1241)(161, 1169, 236, 1244)(164, 1172, 239, 1247)(165, 1173, 240, 1248)(167, 1175, 241, 1249)(168, 1176, 244, 1252)(170, 1178, 247, 1255)(175, 1183, 250, 1258)(176, 1184, 254, 1262)(177, 1185, 256, 1264)(179, 1187, 259, 1267)(180, 1188, 260, 1268)(181, 1189, 263, 1271)(184, 1192, 265, 1273)(185, 1193, 267, 1275)(188, 1196, 268, 1276)(189, 1197, 272, 1280)(190, 1198, 253, 1261)(192, 1200, 275, 1283)(194, 1202, 276, 1284)(195, 1203, 279, 1287)(197, 1205, 280, 1288)(198, 1206, 284, 1292)(202, 1210, 286, 1294)(203, 1211, 290, 1298)(204, 1212, 293, 1301)(206, 1214, 287, 1295)(209, 1217, 299, 1307)(210, 1218, 300, 1308)(212, 1220, 303, 1311)(213, 1221, 304, 1312)(215, 1223, 305, 1313)(216, 1224, 308, 1316)(217, 1225, 310, 1318)(218, 1226, 311, 1319)(219, 1227, 314, 1322)(222, 1230, 317, 1325)(223, 1231, 318, 1326)(227, 1235, 320, 1328)(228, 1236, 323, 1331)(229, 1237, 325, 1333)(231, 1239, 328, 1336)(234, 1242, 331, 1339)(235, 1243, 332, 1340)(237, 1245, 333, 1341)(238, 1246, 337, 1345)(242, 1250, 339, 1347)(243, 1251, 343, 1351)(245, 1253, 340, 1348)(246, 1254, 346, 1354)(248, 1256, 347, 1355)(249, 1257, 350, 1358)(251, 1259, 319, 1327)(252, 1260, 354, 1362)(255, 1263, 357, 1365)(257, 1265, 358, 1366)(258, 1266, 361, 1369)(261, 1269, 364, 1372)(262, 1270, 365, 1373)(264, 1272, 366, 1374)(266, 1274, 336, 1344)(269, 1277, 355, 1363)(270, 1278, 374, 1382)(271, 1279, 377, 1385)(273, 1281, 351, 1359)(274, 1282, 380, 1388)(277, 1285, 381, 1389)(278, 1286, 342, 1350)(281, 1289, 385, 1393)(282, 1290, 389, 1397)(283, 1291, 392, 1400)(285, 1293, 386, 1394)(288, 1296, 398, 1406)(289, 1297, 399, 1407)(291, 1299, 402, 1410)(292, 1300, 403, 1411)(294, 1302, 404, 1412)(295, 1303, 407, 1415)(296, 1304, 409, 1417)(297, 1305, 410, 1418)(298, 1306, 413, 1421)(301, 1309, 415, 1423)(302, 1310, 416, 1424)(306, 1314, 420, 1428)(307, 1315, 422, 1430)(309, 1317, 425, 1433)(312, 1320, 428, 1436)(313, 1321, 429, 1437)(315, 1323, 430, 1438)(316, 1324, 433, 1441)(321, 1329, 417, 1425)(322, 1330, 438, 1446)(324, 1332, 440, 1448)(326, 1334, 441, 1449)(327, 1335, 443, 1451)(329, 1337, 444, 1452)(330, 1338, 448, 1456)(334, 1342, 450, 1458)(335, 1343, 454, 1462)(338, 1346, 451, 1459)(341, 1349, 461, 1469)(344, 1352, 464, 1472)(345, 1353, 466, 1474)(348, 1356, 469, 1477)(349, 1357, 471, 1479)(352, 1360, 474, 1482)(353, 1361, 477, 1485)(356, 1364, 480, 1488)(359, 1367, 481, 1489)(360, 1368, 483, 1491)(362, 1370, 484, 1492)(363, 1371, 487, 1495)(367, 1375, 489, 1497)(368, 1376, 492, 1500)(369, 1377, 490, 1498)(370, 1378, 456, 1464)(371, 1379, 455, 1463)(372, 1380, 497, 1505)(373, 1381, 499, 1507)(375, 1383, 501, 1509)(376, 1384, 502, 1510)(378, 1386, 503, 1511)(379, 1387, 486, 1494)(382, 1390, 462, 1470)(383, 1391, 509, 1517)(384, 1392, 458, 1466)(387, 1395, 514, 1522)(388, 1396, 515, 1523)(390, 1398, 517, 1525)(391, 1399, 518, 1526)(393, 1401, 519, 1527)(394, 1402, 522, 1530)(395, 1403, 524, 1532)(396, 1404, 525, 1533)(397, 1405, 528, 1536)(400, 1408, 530, 1538)(401, 1409, 531, 1539)(405, 1413, 535, 1543)(406, 1414, 537, 1545)(408, 1416, 540, 1548)(411, 1419, 543, 1551)(412, 1420, 544, 1552)(414, 1422, 545, 1553)(418, 1426, 532, 1540)(419, 1427, 551, 1559)(421, 1429, 553, 1561)(423, 1431, 554, 1562)(424, 1432, 556, 1564)(426, 1434, 557, 1565)(427, 1435, 561, 1569)(431, 1439, 563, 1571)(432, 1440, 567, 1575)(434, 1442, 564, 1572)(435, 1443, 570, 1578)(436, 1444, 571, 1579)(437, 1445, 573, 1581)(439, 1447, 576, 1584)(442, 1450, 577, 1585)(445, 1453, 579, 1587)(446, 1454, 566, 1574)(447, 1455, 584, 1592)(449, 1457, 580, 1588)(452, 1460, 590, 1598)(453, 1461, 591, 1599)(457, 1465, 596, 1604)(459, 1467, 598, 1606)(460, 1468, 601, 1609)(463, 1471, 603, 1611)(465, 1473, 605, 1613)(467, 1475, 604, 1612)(468, 1476, 608, 1616)(470, 1478, 610, 1618)(472, 1480, 611, 1619)(473, 1481, 614, 1622)(475, 1483, 616, 1624)(476, 1484, 617, 1625)(478, 1486, 618, 1626)(479, 1487, 560, 1568)(482, 1490, 623, 1631)(485, 1493, 625, 1633)(488, 1496, 626, 1634)(491, 1499, 634, 1642)(493, 1501, 636, 1644)(494, 1502, 637, 1645)(495, 1503, 638, 1646)(496, 1504, 640, 1648)(498, 1506, 642, 1650)(500, 1508, 644, 1652)(504, 1512, 647, 1655)(505, 1513, 630, 1638)(506, 1514, 629, 1637)(507, 1515, 651, 1659)(508, 1516, 653, 1661)(510, 1518, 654, 1662)(511, 1519, 656, 1664)(512, 1520, 657, 1665)(513, 1521, 660, 1668)(516, 1524, 662, 1670)(520, 1528, 666, 1674)(521, 1529, 668, 1676)(523, 1531, 670, 1678)(526, 1534, 673, 1681)(527, 1535, 674, 1682)(529, 1537, 675, 1683)(533, 1541, 663, 1671)(534, 1542, 681, 1689)(536, 1544, 683, 1691)(538, 1546, 684, 1692)(539, 1547, 686, 1694)(541, 1549, 687, 1695)(542, 1550, 690, 1698)(546, 1554, 692, 1700)(547, 1555, 696, 1704)(548, 1556, 693, 1701)(549, 1557, 699, 1707)(550, 1558, 700, 1708)(552, 1560, 703, 1711)(555, 1563, 704, 1712)(558, 1566, 706, 1714)(559, 1567, 695, 1703)(562, 1570, 707, 1715)(565, 1573, 715, 1723)(568, 1576, 719, 1727)(569, 1577, 720, 1728)(572, 1580, 723, 1731)(574, 1582, 724, 1732)(575, 1583, 689, 1697)(578, 1586, 729, 1737)(581, 1589, 716, 1724)(582, 1590, 734, 1742)(583, 1591, 712, 1720)(585, 1593, 676, 1684)(586, 1594, 737, 1745)(587, 1595, 739, 1747)(588, 1596, 740, 1748)(589, 1597, 665, 1673)(592, 1600, 742, 1750)(593, 1601, 701, 1709)(594, 1602, 743, 1751)(595, 1603, 745, 1753)(597, 1605, 664, 1672)(599, 1607, 749, 1757)(600, 1608, 725, 1733)(602, 1610, 750, 1758)(606, 1614, 752, 1760)(607, 1615, 754, 1762)(609, 1617, 756, 1764)(612, 1620, 757, 1765)(613, 1621, 759, 1767)(615, 1623, 761, 1769)(619, 1627, 661, 1669)(620, 1628, 710, 1718)(621, 1629, 671, 1679)(622, 1630, 765, 1773)(624, 1632, 766, 1774)(627, 1635, 717, 1725)(628, 1636, 769, 1777)(631, 1639, 772, 1780)(632, 1640, 773, 1781)(633, 1641, 763, 1771)(635, 1643, 708, 1716)(639, 1647, 777, 1785)(641, 1649, 778, 1786)(643, 1651, 780, 1788)(645, 1653, 781, 1789)(646, 1654, 714, 1722)(648, 1656, 733, 1741)(649, 1657, 738, 1746)(650, 1658, 784, 1792)(652, 1660, 786, 1794)(655, 1663, 789, 1797)(658, 1666, 792, 1800)(659, 1667, 793, 1801)(667, 1675, 797, 1805)(669, 1677, 799, 1807)(672, 1680, 802, 1810)(677, 1685, 805, 1813)(678, 1686, 804, 1812)(679, 1687, 808, 1816)(680, 1688, 809, 1817)(682, 1690, 810, 1818)(685, 1693, 811, 1819)(688, 1696, 813, 1821)(691, 1699, 814, 1822)(694, 1702, 819, 1827)(697, 1705, 820, 1828)(698, 1706, 821, 1829)(702, 1710, 801, 1809)(705, 1713, 826, 1834)(709, 1717, 830, 1838)(711, 1719, 833, 1841)(713, 1721, 834, 1842)(718, 1726, 836, 1844)(721, 1729, 838, 1846)(722, 1730, 840, 1848)(726, 1734, 816, 1824)(727, 1735, 790, 1798)(728, 1736, 843, 1851)(730, 1738, 844, 1852)(731, 1739, 846, 1854)(732, 1740, 847, 1855)(735, 1743, 850, 1858)(736, 1744, 851, 1859)(741, 1749, 854, 1862)(744, 1752, 855, 1863)(746, 1754, 856, 1864)(747, 1755, 858, 1866)(748, 1756, 860, 1868)(751, 1759, 862, 1870)(753, 1761, 823, 1831)(755, 1763, 859, 1867)(758, 1766, 867, 1875)(760, 1768, 869, 1877)(762, 1770, 870, 1878)(764, 1772, 872, 1880)(767, 1775, 791, 1799)(768, 1776, 875, 1883)(770, 1778, 849, 1857)(771, 1779, 878, 1886)(774, 1782, 880, 1888)(775, 1783, 841, 1849)(776, 1784, 881, 1889)(779, 1787, 882, 1890)(782, 1790, 886, 1894)(783, 1791, 887, 1895)(785, 1793, 824, 1832)(787, 1795, 889, 1897)(788, 1796, 891, 1899)(794, 1802, 894, 1902)(795, 1803, 896, 1904)(796, 1804, 897, 1905)(798, 1806, 898, 1906)(800, 1808, 900, 1908)(803, 1811, 901, 1909)(806, 1814, 903, 1911)(807, 1815, 904, 1912)(812, 1820, 908, 1916)(815, 1823, 912, 1920)(817, 1825, 914, 1922)(818, 1826, 915, 1923)(822, 1830, 917, 1925)(825, 1833, 920, 1928)(827, 1835, 921, 1929)(828, 1836, 923, 1931)(829, 1837, 924, 1932)(831, 1839, 926, 1934)(832, 1840, 927, 1935)(835, 1843, 929, 1937)(837, 1845, 930, 1938)(839, 1847, 906, 1914)(842, 1850, 934, 1942)(845, 1853, 938, 1946)(848, 1856, 922, 1930)(852, 1860, 941, 1949)(853, 1861, 942, 1950)(857, 1865, 944, 1952)(861, 1869, 946, 1954)(863, 1871, 913, 1921)(864, 1872, 931, 1939)(865, 1873, 939, 1947)(866, 1874, 949, 1957)(868, 1876, 933, 1941)(871, 1879, 907, 1915)(873, 1881, 905, 1913)(874, 1882, 916, 1924)(876, 1884, 952, 1960)(877, 1885, 940, 1948)(879, 1887, 928, 1936)(883, 1891, 950, 1958)(884, 1892, 932, 1940)(885, 1893, 945, 1953)(888, 1896, 956, 1964)(890, 1898, 947, 1955)(892, 1900, 957, 1965)(893, 1901, 958, 1966)(895, 1903, 959, 1967)(899, 1907, 962, 1970)(902, 1910, 965, 1973)(909, 1917, 967, 1975)(910, 1918, 969, 1977)(911, 1919, 970, 1978)(918, 1926, 961, 1969)(919, 1927, 972, 1980)(925, 1933, 968, 1976)(935, 1943, 960, 1968)(936, 1944, 966, 1974)(937, 1945, 977, 1985)(943, 1951, 980, 1988)(948, 1956, 982, 1990)(951, 1959, 963, 1971)(953, 1961, 979, 1987)(954, 1962, 975, 1983)(955, 1963, 981, 1989)(964, 1972, 990, 1998)(971, 1979, 989, 1997)(973, 1981, 988, 1996)(974, 1982, 994, 2002)(976, 1984, 986, 1994)(978, 1986, 995, 2003)(983, 1991, 987, 1995)(984, 1992, 996, 2004)(985, 1993, 993, 2001)(991, 1999, 999, 2007)(992, 2000, 1002, 2010)(997, 2005, 1003, 2011)(998, 2006, 1000, 2008)(1001, 2009, 1006, 2014)(1004, 2012, 1007, 2015)(1005, 2013, 1008, 2016)
	L = (1, 1010)(2, 1013)(3, 1015)(4, 1009)(5, 1019)(6, 1021)(7, 1023)(8, 1011)(9, 1026)(10, 1012)(11, 1029)(12, 1031)(13, 1033)(14, 1014)(15, 1035)(16, 1017)(17, 1016)(18, 1040)(19, 1042)(20, 1018)(21, 1028)(22, 1045)(23, 1047)(24, 1020)(25, 1049)(26, 1022)(27, 1053)(28, 1055)(29, 1024)(30, 1058)(31, 1025)(32, 1060)(33, 1027)(34, 1063)(35, 1065)(36, 1066)(37, 1068)(38, 1030)(39, 1070)(40, 1032)(41, 1074)(42, 1038)(43, 1077)(44, 1034)(45, 1039)(46, 1080)(47, 1082)(48, 1036)(49, 1037)(50, 1086)(51, 1088)(52, 1085)(53, 1090)(54, 1041)(55, 1093)(56, 1043)(57, 1096)(58, 1097)(59, 1044)(60, 1099)(61, 1046)(62, 1103)(63, 1051)(64, 1106)(65, 1048)(66, 1052)(67, 1109)(68, 1050)(69, 1112)(70, 1114)(71, 1115)(72, 1117)(73, 1054)(74, 1119)(75, 1056)(76, 1123)(77, 1057)(78, 1125)(79, 1059)(80, 1128)(81, 1129)(82, 1131)(83, 1061)(84, 1062)(85, 1134)(86, 1136)(87, 1064)(88, 1139)(89, 1141)(90, 1067)(91, 1145)(92, 1072)(93, 1148)(94, 1069)(95, 1073)(96, 1151)(97, 1071)(98, 1154)(99, 1156)(100, 1157)(101, 1159)(102, 1075)(103, 1076)(104, 1163)(105, 1078)(106, 1166)(107, 1167)(108, 1079)(109, 1169)(110, 1081)(111, 1173)(112, 1084)(113, 1176)(114, 1083)(115, 1178)(116, 1180)(117, 1162)(118, 1182)(119, 1087)(120, 1185)(121, 1187)(122, 1089)(123, 1189)(124, 1091)(125, 1193)(126, 1092)(127, 1195)(128, 1197)(129, 1094)(130, 1095)(131, 1200)(132, 1143)(133, 1203)(134, 1101)(135, 1206)(136, 1098)(137, 1102)(138, 1209)(139, 1100)(140, 1212)(141, 1214)(142, 1215)(143, 1217)(144, 1104)(145, 1105)(146, 1221)(147, 1107)(148, 1224)(149, 1225)(150, 1108)(151, 1227)(152, 1110)(153, 1231)(154, 1111)(155, 1220)(156, 1234)(157, 1113)(158, 1237)(159, 1239)(160, 1116)(161, 1243)(162, 1121)(163, 1246)(164, 1118)(165, 1122)(166, 1249)(167, 1120)(168, 1222)(169, 1253)(170, 1254)(171, 1124)(172, 1257)(173, 1258)(174, 1260)(175, 1126)(176, 1127)(177, 1263)(178, 1241)(179, 1266)(180, 1130)(181, 1270)(182, 1133)(183, 1235)(184, 1132)(185, 1274)(186, 1276)(187, 1277)(188, 1135)(189, 1279)(190, 1137)(191, 1282)(192, 1138)(193, 1284)(194, 1140)(195, 1144)(196, 1288)(197, 1142)(198, 1291)(199, 1293)(200, 1294)(201, 1296)(202, 1146)(203, 1147)(204, 1300)(205, 1149)(206, 1303)(207, 1304)(208, 1150)(209, 1306)(210, 1152)(211, 1310)(212, 1153)(213, 1299)(214, 1313)(215, 1155)(216, 1315)(217, 1317)(218, 1158)(219, 1321)(220, 1161)(221, 1324)(222, 1160)(223, 1301)(224, 1327)(225, 1328)(226, 1330)(227, 1164)(228, 1165)(229, 1332)(230, 1319)(231, 1335)(232, 1171)(233, 1338)(234, 1168)(235, 1172)(236, 1341)(237, 1170)(238, 1344)(239, 1346)(240, 1347)(241, 1349)(242, 1174)(243, 1175)(244, 1177)(245, 1353)(246, 1352)(247, 1355)(248, 1179)(249, 1357)(250, 1359)(251, 1181)(252, 1361)(253, 1183)(254, 1364)(255, 1184)(256, 1366)(257, 1186)(258, 1368)(259, 1191)(260, 1371)(261, 1188)(262, 1192)(263, 1374)(264, 1190)(265, 1377)(266, 1378)(267, 1194)(268, 1380)(269, 1381)(270, 1196)(271, 1384)(272, 1199)(273, 1198)(274, 1387)(275, 1389)(276, 1390)(277, 1201)(278, 1202)(279, 1393)(280, 1395)(281, 1204)(282, 1205)(283, 1399)(284, 1207)(285, 1402)(286, 1403)(287, 1208)(288, 1405)(289, 1210)(290, 1409)(291, 1211)(292, 1398)(293, 1412)(294, 1213)(295, 1414)(296, 1416)(297, 1216)(298, 1420)(299, 1219)(300, 1265)(301, 1218)(302, 1400)(303, 1425)(304, 1252)(305, 1427)(306, 1223)(307, 1429)(308, 1418)(309, 1432)(310, 1229)(311, 1435)(312, 1226)(313, 1230)(314, 1438)(315, 1228)(316, 1255)(317, 1442)(318, 1232)(319, 1443)(320, 1273)(321, 1233)(322, 1445)(323, 1447)(324, 1236)(325, 1449)(326, 1238)(327, 1242)(328, 1452)(329, 1240)(330, 1455)(331, 1457)(332, 1458)(333, 1460)(334, 1244)(335, 1245)(336, 1463)(337, 1247)(338, 1465)(339, 1466)(340, 1248)(341, 1468)(342, 1250)(343, 1471)(344, 1251)(345, 1473)(346, 1441)(347, 1476)(348, 1256)(349, 1478)(350, 1268)(351, 1481)(352, 1259)(353, 1484)(354, 1262)(355, 1261)(356, 1487)(357, 1489)(358, 1423)(359, 1264)(360, 1269)(361, 1492)(362, 1267)(363, 1494)(364, 1496)(365, 1497)(366, 1499)(367, 1271)(368, 1272)(369, 1502)(370, 1501)(371, 1275)(372, 1504)(373, 1506)(374, 1508)(375, 1278)(376, 1281)(377, 1511)(378, 1280)(379, 1513)(380, 1283)(381, 1515)(382, 1516)(383, 1285)(384, 1286)(385, 1519)(386, 1287)(387, 1521)(388, 1289)(389, 1375)(390, 1290)(391, 1392)(392, 1527)(393, 1292)(394, 1529)(395, 1531)(396, 1295)(397, 1535)(398, 1298)(399, 1334)(400, 1297)(401, 1385)(402, 1540)(403, 1326)(404, 1542)(405, 1302)(406, 1544)(407, 1533)(408, 1547)(409, 1308)(410, 1550)(411, 1305)(412, 1309)(413, 1553)(414, 1307)(415, 1556)(416, 1311)(417, 1557)(418, 1312)(419, 1343)(420, 1560)(421, 1314)(422, 1562)(423, 1316)(424, 1320)(425, 1565)(426, 1318)(427, 1568)(428, 1570)(429, 1571)(430, 1573)(431, 1322)(432, 1323)(433, 1325)(434, 1576)(435, 1577)(436, 1329)(437, 1370)(438, 1331)(439, 1583)(440, 1585)(441, 1538)(442, 1333)(443, 1587)(444, 1589)(445, 1336)(446, 1337)(447, 1549)(448, 1339)(449, 1594)(450, 1595)(451, 1340)(452, 1597)(453, 1342)(454, 1601)(455, 1591)(456, 1345)(457, 1603)(458, 1605)(459, 1348)(460, 1608)(461, 1351)(462, 1350)(463, 1592)(464, 1612)(465, 1558)(466, 1606)(467, 1354)(468, 1567)(469, 1617)(470, 1356)(471, 1619)(472, 1358)(473, 1621)(474, 1623)(475, 1360)(476, 1363)(477, 1626)(478, 1362)(479, 1628)(480, 1365)(481, 1630)(482, 1367)(483, 1633)(484, 1635)(485, 1369)(486, 1637)(487, 1372)(488, 1639)(489, 1525)(490, 1373)(491, 1641)(492, 1643)(493, 1376)(494, 1580)(495, 1379)(496, 1647)(497, 1382)(498, 1383)(499, 1625)(500, 1530)(501, 1653)(502, 1539)(503, 1654)(504, 1386)(505, 1656)(506, 1388)(507, 1658)(508, 1660)(509, 1546)(510, 1391)(511, 1663)(512, 1394)(513, 1667)(514, 1397)(515, 1431)(516, 1396)(517, 1671)(518, 1424)(519, 1673)(520, 1401)(521, 1675)(522, 1665)(523, 1677)(524, 1407)(525, 1680)(526, 1404)(527, 1408)(528, 1683)(529, 1406)(530, 1686)(531, 1410)(532, 1687)(533, 1411)(534, 1440)(535, 1690)(536, 1413)(537, 1692)(538, 1415)(539, 1419)(540, 1695)(541, 1417)(542, 1697)(543, 1699)(544, 1700)(545, 1702)(546, 1421)(547, 1422)(548, 1705)(549, 1706)(550, 1426)(551, 1428)(552, 1710)(553, 1712)(554, 1670)(555, 1430)(556, 1714)(557, 1716)(558, 1433)(559, 1434)(560, 1679)(561, 1436)(562, 1719)(563, 1720)(564, 1437)(565, 1722)(566, 1439)(567, 1725)(568, 1726)(569, 1688)(570, 1482)(571, 1730)(572, 1444)(573, 1732)(574, 1446)(575, 1734)(576, 1448)(577, 1736)(578, 1450)(579, 1739)(580, 1451)(581, 1741)(582, 1453)(583, 1454)(584, 1684)(585, 1456)(586, 1744)(587, 1746)(588, 1459)(589, 1674)(590, 1462)(591, 1480)(592, 1461)(593, 1485)(594, 1464)(595, 1752)(596, 1748)(597, 1755)(598, 1756)(599, 1467)(600, 1470)(601, 1758)(602, 1469)(603, 1472)(604, 1759)(605, 1760)(606, 1474)(607, 1475)(608, 1477)(609, 1763)(610, 1765)(611, 1750)(612, 1479)(613, 1483)(614, 1510)(615, 1745)(616, 1770)(617, 1709)(618, 1771)(619, 1486)(620, 1668)(621, 1488)(622, 1772)(623, 1754)(624, 1490)(625, 1775)(626, 1491)(627, 1689)(628, 1493)(629, 1747)(630, 1495)(631, 1779)(632, 1498)(633, 1669)(634, 1500)(635, 1703)(636, 1751)(637, 1781)(638, 1784)(639, 1503)(640, 1786)(641, 1505)(642, 1788)(643, 1507)(644, 1509)(645, 1790)(646, 1685)(647, 1724)(648, 1512)(649, 1514)(650, 1791)(651, 1517)(652, 1518)(653, 1733)(654, 1795)(655, 1796)(656, 1523)(657, 1799)(658, 1520)(659, 1524)(660, 1627)(661, 1522)(662, 1802)(663, 1803)(664, 1526)(665, 1555)(666, 1600)(667, 1528)(668, 1652)(669, 1534)(670, 1629)(671, 1532)(672, 1809)(673, 1811)(674, 1593)(675, 1610)(676, 1536)(677, 1537)(678, 1814)(679, 1815)(680, 1541)(681, 1543)(682, 1636)(683, 1819)(684, 1662)(685, 1545)(686, 1821)(687, 1611)(688, 1548)(689, 1798)(690, 1551)(691, 1825)(692, 1616)(693, 1552)(694, 1642)(695, 1554)(696, 1598)(697, 1632)(698, 1804)(699, 1579)(700, 1831)(701, 1559)(702, 1651)(703, 1561)(704, 1833)(705, 1563)(706, 1836)(707, 1564)(708, 1644)(709, 1566)(710, 1569)(711, 1840)(712, 1646)(713, 1572)(714, 1655)(715, 1575)(716, 1574)(717, 1581)(718, 1615)(719, 1842)(720, 1846)(721, 1578)(722, 1841)(723, 1849)(724, 1609)(725, 1582)(726, 1661)(727, 1584)(728, 1850)(729, 1845)(730, 1586)(731, 1853)(732, 1588)(733, 1857)(734, 1614)(735, 1590)(736, 1812)(737, 1855)(738, 1860)(739, 1599)(740, 1861)(741, 1596)(742, 1805)(743, 1839)(744, 1602)(745, 1864)(746, 1604)(747, 1607)(748, 1867)(749, 1869)(750, 1813)(751, 1823)(752, 1858)(753, 1613)(754, 1872)(755, 1826)(756, 1618)(757, 1874)(758, 1620)(759, 1877)(760, 1622)(761, 1624)(762, 1879)(763, 1827)(764, 1808)(765, 1631)(766, 1882)(767, 1800)(768, 1634)(769, 1649)(770, 1638)(771, 1885)(772, 1883)(773, 1887)(774, 1640)(775, 1645)(776, 1843)(777, 1890)(778, 1818)(779, 1648)(780, 1810)(781, 1650)(782, 1893)(783, 1657)(784, 1832)(785, 1659)(786, 1824)(787, 1898)(788, 1666)(789, 1735)(790, 1664)(791, 1777)(792, 1901)(793, 1718)(794, 1903)(795, 1782)(796, 1672)(797, 1906)(798, 1676)(799, 1908)(800, 1678)(801, 1793)(802, 1681)(803, 1910)(804, 1682)(805, 1723)(806, 1738)(807, 1768)(808, 1708)(809, 1914)(810, 1691)(811, 1915)(812, 1693)(813, 1918)(814, 1694)(815, 1696)(816, 1698)(817, 1921)(818, 1701)(819, 1704)(820, 1923)(821, 1925)(822, 1707)(823, 1922)(824, 1711)(825, 1927)(826, 1924)(827, 1713)(828, 1930)(829, 1715)(830, 1729)(831, 1717)(832, 1902)(833, 1932)(834, 1936)(835, 1721)(836, 1938)(837, 1727)(838, 1934)(839, 1728)(840, 1731)(841, 1941)(842, 1900)(843, 1737)(844, 1944)(845, 1945)(846, 1742)(847, 1931)(848, 1740)(849, 1743)(850, 1948)(851, 1769)(852, 1749)(853, 1912)(854, 1951)(855, 1952)(856, 1774)(857, 1753)(858, 1905)(859, 1947)(860, 1757)(861, 1928)(862, 1762)(863, 1761)(864, 1780)(865, 1764)(866, 1956)(867, 1783)(868, 1766)(869, 1950)(870, 1767)(871, 1916)(872, 1913)(873, 1773)(874, 1929)(875, 1926)(876, 1776)(877, 1778)(878, 1939)(879, 1937)(880, 1943)(881, 1785)(882, 1963)(883, 1787)(884, 1789)(885, 1907)(886, 1940)(887, 1964)(888, 1792)(889, 1794)(890, 1917)(891, 1965)(892, 1797)(893, 1884)(894, 1801)(895, 1835)(896, 1817)(897, 1969)(898, 1876)(899, 1806)(900, 1971)(901, 1807)(902, 1892)(903, 1859)(904, 1881)(905, 1816)(906, 1973)(907, 1891)(908, 1974)(909, 1820)(910, 1976)(911, 1822)(912, 1830)(913, 1897)(914, 1978)(915, 1868)(916, 1828)(917, 1870)(918, 1829)(919, 1896)(920, 1834)(921, 1981)(922, 1982)(923, 1838)(924, 1977)(925, 1837)(926, 1863)(927, 1848)(928, 1888)(929, 1983)(930, 1852)(931, 1844)(932, 1847)(933, 1970)(934, 1968)(935, 1851)(936, 1975)(937, 1856)(938, 1873)(939, 1854)(940, 1987)(941, 1895)(942, 1862)(943, 1989)(944, 1894)(945, 1865)(946, 1866)(947, 1871)(948, 1986)(949, 1875)(950, 1878)(951, 1880)(952, 1991)(953, 1886)(954, 1889)(955, 1992)(956, 1993)(957, 1994)(958, 1899)(959, 1935)(960, 1904)(961, 1960)(962, 1996)(963, 1997)(964, 1909)(965, 1998)(966, 1911)(967, 1961)(968, 2000)(969, 1920)(970, 1959)(971, 1919)(972, 1954)(973, 1953)(974, 1933)(975, 1957)(976, 1942)(977, 2003)(978, 1946)(979, 1955)(980, 1949)(981, 1958)(982, 1962)(983, 2001)(984, 2005)(985, 2006)(986, 2007)(987, 1966)(988, 1967)(989, 2009)(990, 1984)(991, 1972)(992, 1979)(993, 1980)(994, 1985)(995, 2011)(996, 1988)(997, 1990)(998, 2012)(999, 2013)(1000, 1995)(1001, 1999)(1002, 2002)(1003, 2015)(1004, 2004)(1005, 2008)(1006, 2010)(1007, 2016)(1008, 2014)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E22.1769
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 504 e = 1008 f = 462
	degree seq :: [ 4^504 ]

E22.1778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|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)^8, (Y3 * Y2^-1)^8, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^3, (Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2)^3, (Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map::
	R = (1, 1009, 2, 1010)(3, 1011, 7, 1015)(4, 1012, 8, 1016)(5, 1013, 9, 1017)(6, 1014, 10, 1018)(11, 1019, 19, 1027)(12, 1020, 20, 1028)(13, 1021, 21, 1029)(14, 1022, 22, 1030)(15, 1023, 23, 1031)(16, 1024, 24, 1032)(17, 1025, 25, 1033)(18, 1026, 26, 1034)(27, 1035, 43, 1051)(28, 1036, 44, 1052)(29, 1037, 45, 1053)(30, 1038, 46, 1054)(31, 1039, 47, 1055)(32, 1040, 48, 1056)(33, 1041, 49, 1057)(34, 1042, 50, 1058)(35, 1043, 51, 1059)(36, 1044, 52, 1060)(37, 1045, 53, 1061)(38, 1046, 54, 1062)(39, 1047, 55, 1063)(40, 1048, 56, 1064)(41, 1049, 57, 1065)(42, 1050, 58, 1066)(59, 1067, 90, 1098)(60, 1068, 91, 1099)(61, 1069, 92, 1100)(62, 1070, 93, 1101)(63, 1071, 94, 1102)(64, 1072, 95, 1103)(65, 1073, 96, 1104)(66, 1074, 97, 1105)(67, 1075, 98, 1106)(68, 1076, 99, 1107)(69, 1077, 100, 1108)(70, 1078, 101, 1109)(71, 1079, 102, 1110)(72, 1080, 103, 1111)(73, 1081, 104, 1112)(74, 1082, 75, 1083)(76, 1084, 105, 1113)(77, 1085, 106, 1114)(78, 1086, 107, 1115)(79, 1087, 108, 1116)(80, 1088, 109, 1117)(81, 1089, 110, 1118)(82, 1090, 111, 1119)(83, 1091, 112, 1120)(84, 1092, 113, 1121)(85, 1093, 114, 1122)(86, 1094, 115, 1123)(87, 1095, 116, 1124)(88, 1096, 117, 1125)(89, 1097, 118, 1126)(119, 1127, 169, 1177)(120, 1128, 170, 1178)(121, 1129, 171, 1179)(122, 1130, 172, 1180)(123, 1131, 173, 1181)(124, 1132, 174, 1182)(125, 1133, 175, 1183)(126, 1134, 176, 1184)(127, 1135, 177, 1185)(128, 1136, 178, 1186)(129, 1137, 179, 1187)(130, 1138, 180, 1188)(131, 1139, 181, 1189)(132, 1140, 182, 1190)(133, 1141, 183, 1191)(134, 1142, 184, 1192)(135, 1143, 185, 1193)(136, 1144, 186, 1194)(137, 1145, 187, 1195)(138, 1146, 188, 1196)(139, 1147, 189, 1197)(140, 1148, 190, 1198)(141, 1149, 191, 1199)(142, 1150, 192, 1200)(143, 1151, 193, 1201)(144, 1152, 194, 1202)(145, 1153, 195, 1203)(146, 1154, 196, 1204)(147, 1155, 197, 1205)(148, 1156, 198, 1206)(149, 1157, 199, 1207)(150, 1158, 200, 1208)(151, 1159, 201, 1209)(152, 1160, 202, 1210)(153, 1161, 203, 1211)(154, 1162, 204, 1212)(155, 1163, 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3723, 2788, 3796)(2378, 3386, 2585, 3593, 2591, 3599)(2379, 3387, 2797, 3805, 2506, 3514)(2380, 3388, 2574, 3582, 2604, 3612)(2381, 3389, 2746, 3754, 2799, 3807)(2382, 3390, 2755, 3763, 2801, 3809)(2384, 3392, 2482, 3490, 2522, 3530)(2385, 3393, 2737, 3745, 2798, 3806)(2386, 3394, 2557, 3565, 2571, 3579)(2387, 3395, 2546, 3554, 2561, 3569)(2388, 3396, 2759, 3767, 2805, 3813)(2389, 3397, 2806, 3814, 2807, 3815)(2390, 3398, 2808, 3816, 2810, 3818)(2391, 3399, 2739, 3747, 2812, 3820)(2392, 3400, 2753, 3761, 2790, 3798)(2393, 3401, 2600, 3608, 2576, 3584)(2394, 3402, 2814, 3822, 2815, 3823)(2395, 3403, 2589, 3597, 2617, 3625)(2396, 3404, 2784, 3792, 2817, 3825)(2397, 3405, 2720, 3728, 2819, 3827)(2398, 3406, 2820, 3828, 2821, 3829)(2399, 3407, 2774, 3782, 2816, 3824)(2400, 3408, 2550, 3558, 2564, 3572)(2401, 3409, 2822, 3830, 2824, 3832)(2402, 3410, 2825, 3833, 2609, 3617)(2403, 3411, 2826, 3834, 2828, 3836)(2404, 3412, 2829, 3837, 2830, 3838)(2405, 3413, 2832, 3840, 2834, 3842)(2406, 3414, 2835, 3843, 2837, 3845)(2407, 3415, 2838, 3846, 2839, 3847)(2408, 3416, 2840, 3848, 2842, 3850)(2409, 3417, 2843, 3851, 2845, 3853)(2410, 3418, 2778, 3786, 2673, 3681)(2411, 3419, 2847, 3855, 2849, 3857)(2412, 3420, 2850, 3858, 2851, 3859)(2413, 3421, 2852, 3860, 2854, 3862)(2414, 3422, 2855, 3863, 2566, 3574)(2415, 3423, 2857, 3865, 2859, 3867)(2416, 3424, 2860, 3868, 2861, 3869)(2417, 3425, 2863, 3871, 2865, 3873)(2418, 3426, 2867, 3875, 2869, 3877)(2419, 3427, 2870, 3878, 2871, 3879)(2420, 3428, 2872, 3880, 2874, 3882)(2421, 3429, 2875, 3883, 2876, 3884)(2422, 3430, 2844, 3852, 2728, 3736)(2423, 3431, 2879, 3887, 2881, 3889)(2425, 3433, 2885, 3893, 2862, 3870)(2428, 3436, 2893, 3901, 2622, 3630)(2430, 3438, 2489, 3497, 2488, 3496)(2431, 3439, 2895, 3903, 2896, 3904)(2433, 3441, 2898, 3906, 2900, 3908)(2434, 3442, 2897, 3905, 2902, 3910)(2435, 3443, 2903, 3911, 2904, 3912)(2437, 3445, 2907, 3915, 2909, 3917)(2439, 3447, 2912, 3920, 2521, 3529)(2441, 3449, 2741, 3749, 2650, 3658)(2443, 3451, 2518, 3526, 2918, 3926)(2444, 3452, 2919, 3927, 2920, 3928)(2446, 3454, 2923, 3931, 2925, 3933)(2448, 3456, 2927, 3935, 2559, 3567)(2450, 3458, 2477, 3485, 2931, 3939)(2451, 3459, 2932, 3940, 2933, 3941)(2453, 3461, 2831, 3839, 2936, 3944)(2454, 3462, 2499, 3507, 2939, 3947)(2455, 3463, 2940, 3948, 2941, 3949)(2457, 3465, 2944, 3952, 2946, 3954)(2458, 3466, 2947, 3955, 2948, 3956)(2460, 3468, 2913, 3921, 2763, 3771)(2462, 3470, 2954, 3962, 2483, 3491)(2464, 3472, 2827, 3835, 2956, 3964)(2465, 3473, 2804, 3812, 2950, 3958)(2467, 3475, 2957, 3965, 2958, 3966)(2468, 3476, 2892, 3900, 2470, 3478)(2469, 3477, 2856, 3864, 2952, 3960)(2471, 3479, 2661, 3669, 2809, 3817)(2473, 3481, 2930, 3938, 2961, 3969)(2474, 3482, 2823, 3831, 2800, 3808)(2475, 3483, 2962, 3970, 2934, 3942)(2476, 3484, 2639, 3647, 2583, 3591)(2479, 3487, 2937, 3945, 2964, 3972)(2480, 3488, 2965, 3973, 2967, 3975)(2481, 3489, 2630, 3638, 2679, 3687)(2484, 3492, 2848, 3856, 2970, 3978)(2485, 3493, 2971, 3979, 2973, 3981)(2487, 3495, 2742, 3750, 2878, 3886)(2490, 3498, 2975, 3983, 2976, 3984)(2491, 3499, 2866, 3874, 2977, 3985)(2492, 3500, 2841, 3849, 2969, 3977)(2494, 3502, 2938, 3946, 2935, 3943)(2495, 3503, 2532, 3540, 2542, 3550)(2496, 3504, 2978, 3986, 2979, 3987)(2498, 3506, 2858, 3866, 2980, 3988)(2501, 3509, 2982, 3990, 2983, 3991)(2502, 3510, 2955, 3963, 2504, 3512)(2503, 3511, 2757, 3765, 2811, 3819)(2505, 3513, 2717, 3725, 2960, 3968)(2507, 3515, 2968, 3976, 2986, 3994)(2508, 3516, 2853, 3861, 2701, 3709)(2509, 3517, 2883, 3891, 2894, 3902)(2510, 3518, 2652, 3660, 2555, 3563)(2511, 3519, 2813, 3821, 2972, 3980)(2513, 3521, 2988, 3996, 2989, 3997)(2514, 3522, 2917, 3925, 2991, 3999)(2515, 3523, 2643, 3651, 2688, 3696)(2517, 3525, 2880, 3888, 2890, 3898)(2520, 3528, 2664, 3672, 2782, 3790)(2523, 3531, 2994, 4002, 2995, 4003)(2524, 3532, 2767, 3775, 2889, 3897)(2525, 3533, 2873, 3881, 2992, 4000)(2527, 3535, 2769, 3777, 2765, 3773)(2529, 3537, 2536, 3544, 2539, 3547)(2530, 3538, 2733, 3741, 2730, 3738)(2534, 3542, 2836, 3844, 2833, 3841)(2537, 3545, 2868, 3876, 2864, 3872)(2540, 3548, 2901, 3909, 2899, 3907)(2544, 3552, 2655, 3663, 2695, 3703)(2548, 3556, 2711, 3719, 2675, 3683)(2587, 3595, 2666, 3674, 2707, 3715)(2598, 3606, 2705, 3713, 2663, 3671)(2628, 3636, 2722, 3730, 2795, 3803)(2637, 3645, 2794, 3802, 2719, 3727)(2641, 3649, 2744, 3752, 2803, 3811)(2681, 3689, 2914, 3922, 3005, 4013)(2684, 3692, 2929, 3937, 2924, 3932)(2690, 3698, 3006, 4014, 2974, 3982)(2697, 3705, 3004, 4012, 3009, 4017)(2708, 3716, 3013, 4021, 3003, 4011)(2780, 3788, 2951, 3959, 2911, 3919)(2796, 3804, 3007, 4015, 3015, 4023)(2818, 3826, 2877, 3885, 2886, 3894)(2846, 3854, 2981, 3989, 2993, 4001)(2888, 3896, 3001, 4009, 2959, 3967)(2908, 3916, 2990, 3998, 2916, 3924)(2915, 3923, 2997, 4005, 3020, 4028)(2926, 3934, 3002, 4010, 2996, 4004)(2928, 3936, 3010, 4018, 3019, 4027)(2945, 3953, 2984, 3992, 2953, 3961)(2963, 3971, 3000, 4008, 2985, 3993)(2966, 3974, 3021, 4029, 2987, 3995)(2998, 4006, 3012, 4020, 3011, 4019)(2999, 4007, 3017, 4025, 3016, 4024)(3008, 4016, 3018, 4026, 3014, 4022)(3022, 4030, 3024, 4032, 3023, 4031)
	L = (1, 2018)(2, 2017)(3, 2023)(4, 2024)(5, 2025)(6, 2026)(7, 2019)(8, 2020)(9, 2021)(10, 2022)(11, 2035)(12, 2036)(13, 2037)(14, 2038)(15, 2039)(16, 2040)(17, 2041)(18, 2042)(19, 2027)(20, 2028)(21, 2029)(22, 2030)(23, 2031)(24, 2032)(25, 2033)(26, 2034)(27, 2059)(28, 2060)(29, 2061)(30, 2062)(31, 2063)(32, 2064)(33, 2065)(34, 2066)(35, 2067)(36, 2068)(37, 2069)(38, 2070)(39, 2071)(40, 2072)(41, 2073)(42, 2074)(43, 2043)(44, 2044)(45, 2045)(46, 2046)(47, 2047)(48, 2048)(49, 2049)(50, 2050)(51, 2051)(52, 2052)(53, 2053)(54, 2054)(55, 2055)(56, 2056)(57, 2057)(58, 2058)(59, 2106)(60, 2107)(61, 2108)(62, 2109)(63, 2110)(64, 2111)(65, 2112)(66, 2113)(67, 2114)(68, 2115)(69, 2116)(70, 2117)(71, 2118)(72, 2119)(73, 2120)(74, 2091)(75, 2090)(76, 2121)(77, 2122)(78, 2123)(79, 2124)(80, 2125)(81, 2126)(82, 2127)(83, 2128)(84, 2129)(85, 2130)(86, 2131)(87, 2132)(88, 2133)(89, 2134)(90, 2075)(91, 2076)(92, 2077)(93, 2078)(94, 2079)(95, 2080)(96, 2081)(97, 2082)(98, 2083)(99, 2084)(100, 2085)(101, 2086)(102, 2087)(103, 2088)(104, 2089)(105, 2092)(106, 2093)(107, 2094)(108, 2095)(109, 2096)(110, 2097)(111, 2098)(112, 2099)(113, 2100)(114, 2101)(115, 2102)(116, 2103)(117, 2104)(118, 2105)(119, 2185)(120, 2186)(121, 2187)(122, 2188)(123, 2189)(124, 2190)(125, 2191)(126, 2192)(127, 2193)(128, 2194)(129, 2195)(130, 2196)(131, 2197)(132, 2198)(133, 2199)(134, 2200)(135, 2201)(136, 2202)(137, 2203)(138, 2204)(139, 2205)(140, 2206)(141, 2207)(142, 2208)(143, 2209)(144, 2210)(145, 2211)(146, 2212)(147, 2213)(148, 2214)(149, 2215)(150, 2216)(151, 2217)(152, 2218)(153, 2219)(154, 2220)(155, 2221)(156, 2222)(157, 2223)(158, 2224)(159, 2225)(160, 2226)(161, 2227)(162, 2228)(163, 2229)(164, 2230)(165, 2231)(166, 2232)(167, 2233)(168, 2234)(169, 2135)(170, 2136)(171, 2137)(172, 2138)(173, 2139)(174, 2140)(175, 2141)(176, 2142)(177, 2143)(178, 2144)(179, 2145)(180, 2146)(181, 2147)(182, 2148)(183, 2149)(184, 2150)(185, 2151)(186, 2152)(187, 2153)(188, 2154)(189, 2155)(190, 2156)(191, 2157)(192, 2158)(193, 2159)(194, 2160)(195, 2161)(196, 2162)(197, 2163)(198, 2164)(199, 2165)(200, 2166)(201, 2167)(202, 2168)(203, 2169)(204, 2170)(205, 2171)(206, 2172)(207, 2173)(208, 2174)(209, 2175)(210, 2176)(211, 2177)(212, 2178)(213, 2179)(214, 2180)(215, 2181)(216, 2182)(217, 2183)(218, 2184)(219, 2463)(220, 2465)(221, 2466)(222, 2468)(223, 2470)(224, 2472)(225, 2473)(226, 2475)(227, 2337)(228, 2477)(229, 2478)(230, 2480)(231, 2482)(232, 2483)(233, 2485)(234, 2486)(235, 2488)(236, 2489)(237, 2447)(238, 2491)(239, 2493)(240, 2494)(241, 2496)(242, 2497)(243, 2499)(244, 2500)(245, 2502)(246, 2504)(247, 2506)(248, 2507)(249, 2509)(250, 2374)(251, 2511)(252, 2512)(253, 2514)(254, 2516)(255, 2434)(256, 2518)(257, 2519)(258, 2439)(259, 2521)(260, 2522)(261, 2524)(262, 2526)(263, 2527)(264, 2530)(265, 2534)(266, 2537)(267, 2540)(268, 2544)(269, 2548)(270, 2481)(271, 2555)(272, 2559)(273, 2457)(274, 2566)(275, 2420)(276, 2515)(277, 2576)(278, 2395)(279, 2583)(280, 2587)(281, 2591)(282, 2380)(283, 2598)(284, 2602)(285, 2366)(286, 2609)(287, 2408)(288, 2615)(289, 2353)(290, 2622)(291, 2437)(292, 2628)(293, 2571)(294, 2334)(295, 2637)(296, 2641)(297, 2607)(298, 2371)(299, 2650)(300, 2503)(301, 2564)(302, 2325)(303, 2661)(304, 2664)(305, 2620)(306, 2387)(307, 2673)(308, 2677)(309, 2318)(310, 2681)(311, 2684)(312, 2667)(313, 2345)(314, 2431)(315, 2690)(316, 2693)(317, 2697)(318, 2310)(319, 2490)(320, 2701)(321, 2243)(322, 2644)(323, 2484)(324, 2359)(325, 2404)(326, 2708)(327, 2390)(328, 2542)(329, 2329)(330, 2717)(331, 2720)(332, 2625)(333, 2400)(334, 2728)(335, 2469)(336, 2561)(337, 2305)(338, 2739)(339, 2742)(340, 2683)(341, 2495)(342, 2536)(343, 2340)(344, 2755)(345, 2612)(346, 2386)(347, 2763)(348, 2767)(349, 2568)(350, 2301)(351, 2776)(352, 2780)(353, 2700)(354, 2539)(355, 2314)(356, 2523)(357, 2790)(358, 2266)(359, 2590)(360, 2517)(361, 2401)(362, 2416)(363, 2796)(364, 2298)(365, 2398)(366, 2800)(367, 2631)(368, 2396)(369, 2413)(370, 2362)(371, 2322)(372, 2804)(373, 2788)(374, 2343)(375, 2575)(376, 2425)(377, 2451)(378, 2813)(379, 2294)(380, 2384)(381, 2818)(382, 2381)(383, 2446)(384, 2349)(385, 2377)(386, 2702)(387, 2569)(388, 2341)(389, 2831)(390, 2456)(391, 2604)(392, 2303)(393, 2802)(394, 2846)(395, 2789)(396, 2529)(397, 2385)(398, 2791)(399, 2605)(400, 2378)(401, 2862)(402, 2866)(403, 2611)(404, 2291)(405, 2706)(406, 2877)(407, 2799)(408, 2779)(409, 2392)(410, 2810)(411, 2890)(412, 2685)(413, 2498)(414, 2562)(415, 2330)(416, 2533)(417, 2863)(418, 2271)(419, 2617)(420, 2881)(421, 2307)(422, 2770)(423, 2274)(424, 2826)(425, 2915)(426, 2479)(427, 2805)(428, 2532)(429, 2640)(430, 2399)(431, 2253)(432, 2806)(433, 2928)(434, 2618)(435, 2393)(436, 2543)(437, 2824)(438, 2937)(439, 2624)(440, 2406)(441, 2289)(442, 2687)(443, 2845)(444, 2474)(445, 2952)(446, 2817)(447, 2235)(448, 2939)(449, 2236)(450, 2237)(451, 2798)(452, 2238)(453, 2351)(454, 2239)(455, 2582)(456, 2240)(457, 2241)(458, 2460)(459, 2242)(460, 2963)(461, 2244)(462, 2245)(463, 2442)(464, 2246)(465, 2286)(466, 2247)(467, 2248)(468, 2339)(469, 2249)(470, 2250)(471, 2911)(472, 2251)(473, 2252)(474, 2335)(475, 2254)(476, 2966)(477, 2255)(478, 2256)(479, 2357)(480, 2257)(481, 2258)(482, 2429)(483, 2259)(484, 2260)(485, 2699)(486, 2261)(487, 2316)(488, 2262)(489, 2554)(490, 2263)(491, 2264)(492, 2936)(493, 2265)(494, 2903)(495, 2267)(496, 2268)(497, 2931)(498, 2269)(499, 2292)(500, 2270)(501, 2376)(502, 2272)(503, 2273)(504, 2993)(505, 2275)(506, 2276)(507, 2372)(508, 2277)(509, 2990)(510, 2278)(511, 2279)(512, 2997)(513, 2412)(514, 2280)(515, 2981)(516, 2444)(517, 2432)(518, 2281)(519, 2998)(520, 2358)(521, 2282)(522, 2999)(523, 2370)(524, 2283)(525, 3000)(526, 2344)(527, 2452)(528, 2284)(529, 2886)(530, 2919)(531, 2892)(532, 2285)(533, 2951)(534, 2920)(535, 2955)(536, 2823)(537, 2850)(538, 2505)(539, 2287)(540, 2878)(541, 2851)(542, 2880)(543, 2288)(544, 2904)(545, 2352)(546, 2430)(547, 2932)(548, 2317)(549, 2912)(550, 2290)(551, 2839)(552, 2365)(553, 2403)(554, 2860)(555, 2309)(556, 2843)(557, 2853)(558, 2750)(559, 2391)(560, 2293)(561, 2782)(562, 2751)(563, 2784)(564, 2753)(565, 2786)(566, 2471)(567, 2295)(568, 2819)(569, 2787)(570, 2848)(571, 2296)(572, 2924)(573, 2712)(574, 2375)(575, 2297)(576, 2744)(577, 2713)(578, 2746)(579, 2715)(580, 2748)(581, 2719)(582, 2299)(583, 2801)(584, 2749)(585, 2917)(586, 2300)(587, 2871)(588, 2407)(589, 2415)(590, 2761)(591, 2313)(592, 2875)(593, 2302)(594, 2772)(595, 2419)(596, 2361)(597, 2829)(598, 2777)(599, 2304)(600, 2941)(601, 2435)(602, 2450)(603, 2726)(604, 2321)(605, 2947)(606, 2306)(607, 2735)(608, 2455)(609, 2348)(610, 2895)(611, 2740)(612, 2308)(613, 2974)(614, 2734)(615, 2383)(616, 2666)(617, 2669)(618, 2737)(619, 2671)(620, 2741)(621, 2311)(622, 2703)(623, 2672)(624, 2445)(625, 2312)(626, 2909)(627, 2656)(628, 2338)(629, 2722)(630, 2657)(631, 2724)(632, 2659)(633, 2663)(634, 2315)(635, 2792)(636, 2727)(637, 2965)(638, 3003)(639, 2771)(640, 2643)(641, 2646)(642, 2774)(643, 2648)(644, 2778)(645, 2319)(646, 2686)(647, 2649)(648, 2320)(649, 2842)(650, 2632)(651, 2328)(652, 2757)(653, 2633)(654, 2759)(655, 2635)(656, 2639)(657, 2323)(658, 2807)(659, 2762)(660, 3004)(661, 2324)(662, 2996)(663, 2933)(664, 2972)(665, 2326)(666, 2926)(667, 2356)(668, 2327)(669, 2428)(670, 2662)(671, 2458)(672, 2985)(673, 2906)(674, 2331)(675, 2914)(676, 2718)(677, 2332)(678, 2983)(679, 2861)(680, 3007)(681, 2333)(682, 2820)(683, 2501)(684, 2369)(685, 2336)(686, 2402)(687, 2638)(688, 2857)(689, 3011)(690, 2421)(691, 3012)(692, 2342)(693, 2975)(694, 3015)(695, 2838)(696, 2589)(697, 2593)(698, 2841)(699, 2595)(700, 2844)(701, 2346)(702, 2692)(703, 2597)(704, 2347)(705, 2874)(706, 2645)(707, 2808)(708, 2647)(709, 2827)(710, 2619)(711, 2652)(712, 2350)(713, 2958)(714, 2830)(715, 3013)(716, 3009)(717, 2870)(718, 2630)(719, 2623)(720, 2873)(721, 2634)(722, 2781)(723, 2354)(724, 2627)(725, 2636)(726, 2355)(727, 2775)(728, 2592)(729, 2856)(730, 2594)(731, 2858)(732, 2596)(733, 2600)(734, 2574)(735, 2578)(736, 2908)(737, 2580)(738, 2913)(739, 2360)(740, 2946)(741, 2668)(742, 2793)(743, 2670)(744, 2894)(745, 2606)(746, 2675)(747, 2363)(748, 2959)(749, 2896)(750, 3006)(751, 2364)(752, 2967)(753, 2940)(754, 2438)(755, 2655)(756, 2610)(757, 2945)(758, 2658)(759, 2743)(760, 2367)(761, 2614)(762, 2660)(763, 2424)(764, 2368)(765, 2738)(766, 2577)(767, 2889)(768, 2579)(769, 2930)(770, 2581)(771, 2585)(772, 2389)(773, 2411)(774, 2373)(775, 2414)(776, 2651)(777, 2758)(778, 3016)(779, 3017)(780, 2379)(781, 2994)(782, 2467)(783, 2423)(784, 2382)(785, 2599)(786, 2409)(787, 3020)(788, 2388)(789, 2443)(790, 2448)(791, 2674)(792, 2723)(793, 2979)(794, 2426)(795, 2978)(796, 2943)(797, 2394)(798, 2950)(799, 2891)(800, 2888)(801, 2462)(802, 2397)(803, 2584)(804, 2698)(805, 2949)(806, 2925)(807, 2552)(808, 2453)(809, 2899)(810, 2440)(811, 2725)(812, 2910)(813, 2613)(814, 2730)(815, 2405)(816, 2984)(817, 2893)(818, 2907)(819, 2991)(820, 3002)(821, 2962)(822, 2711)(823, 2567)(824, 2900)(825, 2714)(826, 2665)(827, 2572)(828, 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4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1784
Graph:: bipartite
	v = 840 e = 2016 f = 1134
	degree seq :: [ 4^504, 6^336 ]

E22.1779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|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)^8, (Y3 * Y2^-1)^8, (Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 1009, 2, 1010)(3, 1011, 7, 1015)(4, 1012, 8, 1016)(5, 1013, 9, 1017)(6, 1014, 10, 1018)(11, 1019, 19, 1027)(12, 1020, 20, 1028)(13, 1021, 21, 1029)(14, 1022, 22, 1030)(15, 1023, 23, 1031)(16, 1024, 24, 1032)(17, 1025, 25, 1033)(18, 1026, 26, 1034)(27, 1035, 43, 1051)(28, 1036, 44, 1052)(29, 1037, 45, 1053)(30, 1038, 46, 1054)(31, 1039, 47, 1055)(32, 1040, 48, 1056)(33, 1041, 49, 1057)(34, 1042, 50, 1058)(35, 1043, 51, 1059)(36, 1044, 52, 1060)(37, 1045, 53, 1061)(38, 1046, 54, 1062)(39, 1047, 55, 1063)(40, 1048, 56, 1064)(41, 1049, 57, 1065)(42, 1050, 58, 1066)(59, 1067, 90, 1098)(60, 1068, 91, 1099)(61, 1069, 92, 1100)(62, 1070, 93, 1101)(63, 1071, 94, 1102)(64, 1072, 95, 1103)(65, 1073, 96, 1104)(66, 1074, 97, 1105)(67, 1075, 98, 1106)(68, 1076, 99, 1107)(69, 1077, 100, 1108)(70, 1078, 101, 1109)(71, 1079, 102, 1110)(72, 1080, 103, 1111)(73, 1081, 104, 1112)(74, 1082, 75, 1083)(76, 1084, 105, 1113)(77, 1085, 106, 1114)(78, 1086, 107, 1115)(79, 1087, 108, 1116)(80, 1088, 109, 1117)(81, 1089, 110, 1118)(82, 1090, 111, 1119)(83, 1091, 112, 1120)(84, 1092, 113, 1121)(85, 1093, 114, 1122)(86, 1094, 115, 1123)(87, 1095, 116, 1124)(88, 1096, 117, 1125)(89, 1097, 118, 1126)(119, 1127, 169, 1177)(120, 1128, 170, 1178)(121, 1129, 171, 1179)(122, 1130, 172, 1180)(123, 1131, 173, 1181)(124, 1132, 174, 1182)(125, 1133, 175, 1183)(126, 1134, 176, 1184)(127, 1135, 177, 1185)(128, 1136, 178, 1186)(129, 1137, 179, 1187)(130, 1138, 180, 1188)(131, 1139, 181, 1189)(132, 1140, 182, 1190)(133, 1141, 183, 1191)(134, 1142, 184, 1192)(135, 1143, 185, 1193)(136, 1144, 186, 1194)(137, 1145, 187, 1195)(138, 1146, 188, 1196)(139, 1147, 189, 1197)(140, 1148, 190, 1198)(141, 1149, 191, 1199)(142, 1150, 192, 1200)(143, 1151, 193, 1201)(144, 1152, 194, 1202)(145, 1153, 195, 1203)(146, 1154, 196, 1204)(147, 1155, 197, 1205)(148, 1156, 198, 1206)(149, 1157, 199, 1207)(150, 1158, 200, 1208)(151, 1159, 201, 1209)(152, 1160, 202, 1210)(153, 1161, 203, 1211)(154, 1162, 204, 1212)(155, 1163, 205, 1213)(156, 1164, 206, 1214)(157, 1165, 207, 1215)(158, 1166, 208, 1216)(159, 1167, 209, 1217)(160, 1168, 210, 1218)(161, 1169, 211, 1219)(162, 1170, 212, 1220)(163, 1171, 213, 1221)(164, 1172, 214, 1222)(165, 1173, 215, 1223)(166, 1174, 216, 1224)(167, 1175, 217, 1225)(168, 1176, 218, 1226)(219, 1227, 453, 1461)(220, 1228, 455, 1463)(221, 1229, 456, 1464)(222, 1230, 457, 1465)(223, 1231, 459, 1467)(224, 1232, 325, 1333)(225, 1233, 346, 1354)(226, 1234, 462, 1470)(227, 1235, 333, 1341)(228, 1236, 465, 1473)(229, 1237, 467, 1475)(230, 1238, 469, 1477)(231, 1239, 470, 1478)(232, 1240, 374, 1382)(233, 1241, 472, 1480)(234, 1242, 474, 1482)(235, 1243, 476, 1484)(236, 1244, 478, 1486)(237, 1245, 480, 1488)(238, 1246, 451, 1459)(239, 1247, 481, 1489)(240, 1248, 483, 1491)(241, 1249, 484, 1492)(242, 1250, 486, 1494)(243, 1251, 488, 1496)(244, 1252, 489, 1497)(245, 1253, 439, 1447)(246, 1254, 491, 1499)(247, 1255, 312, 1320)(248, 1256, 307, 1315)(249, 1257, 494, 1502)(250, 1258, 367, 1375)(251, 1259, 497, 1505)(252, 1260, 499, 1507)(253, 1261, 501, 1509)(254, 1262, 502, 1510)(255, 1263, 329, 1337)(256, 1264, 504, 1512)(257, 1265, 506, 1514)(258, 1266, 508, 1516)(259, 1267, 510, 1518)(260, 1268, 512, 1520)(261, 1269, 513, 1521)(262, 1270, 514, 1522)(263, 1271, 516, 1524)(264, 1272, 519, 1527)(265, 1273, 523, 1531)(266, 1274, 526, 1534)(267, 1275, 529, 1537)(268, 1276, 533, 1541)(269, 1277, 537, 1545)(270, 1278, 541, 1549)(271, 1279, 545, 1553)(272, 1280, 549, 1557)(273, 1281, 553, 1561)(274, 1282, 557, 1565)(275, 1283, 560, 1568)(276, 1284, 564, 1572)(277, 1285, 568, 1576)(278, 1286, 572, 1580)(279, 1287, 575, 1583)(280, 1288, 577, 1585)(281, 1289, 581, 1589)(282, 1290, 585, 1593)(283, 1291, 588, 1596)(284, 1292, 590, 1598)(285, 1293, 594, 1602)(286, 1294, 597, 1605)(287, 1295, 601, 1609)(288, 1296, 605, 1613)(289, 1297, 608, 1616)(290, 1298, 612, 1620)(291, 1299, 616, 1624)(292, 1300, 620, 1628)(293, 1301, 624, 1632)(294, 1302, 628, 1636)(295, 1303, 632, 1640)(296, 1304, 635, 1643)(297, 1305, 433, 1441)(298, 1306, 641, 1649)(299, 1307, 440, 1448)(300, 1308, 645, 1653)(301, 1309, 649, 1657)(302, 1310, 424, 1432)(303, 1311, 655, 1663)(304, 1312, 657, 1665)(305, 1313, 405, 1413)(306, 1314, 664, 1672)(308, 1316, 509, 1517)(309, 1317, 671, 1679)(310, 1318, 401, 1409)(311, 1319, 677, 1685)(313, 1321, 682, 1690)(314, 1322, 686, 1694)(315, 1323, 690, 1698)(316, 1324, 694, 1702)(317, 1325, 447, 1455)(318, 1326, 417, 1425)(319, 1327, 701, 1709)(320, 1328, 422, 1430)(321, 1329, 708, 1716)(322, 1330, 712, 1720)(323, 1331, 715, 1723)(324, 1332, 452, 1460)(326, 1334, 722, 1730)(327, 1335, 725, 1733)(328, 1336, 710, 1718)(330, 1338, 731, 1739)(331, 1339, 397, 1405)(332, 1340, 735, 1743)(334, 1342, 742, 1750)(335, 1343, 709, 1717)(336, 1344, 744, 1752)(337, 1345, 746, 1754)(338, 1346, 415, 1423)(339, 1347, 751, 1759)(340, 1348, 393, 1401)(341, 1349, 755, 1763)(342, 1350, 411, 1419)(343, 1351, 762, 1770)(344, 1352, 360, 1368)(345, 1353, 767, 1775)(347, 1355, 477, 1485)(348, 1356, 771, 1779)(349, 1357, 356, 1364)(350, 1358, 774, 1782)(351, 1359, 776, 1784)(352, 1360, 376, 1384)(353, 1361, 780, 1788)(354, 1362, 445, 1453)(355, 1363, 785, 1793)(357, 1365, 420, 1428)(358, 1366, 611, 1619)(359, 1367, 791, 1799)(361, 1369, 794, 1802)(362, 1370, 796, 1804)(363, 1371, 626, 1634)(364, 1372, 799, 1807)(365, 1373, 407, 1415)(366, 1374, 803, 1811)(368, 1376, 808, 1816)(369, 1377, 625, 1633)(370, 1378, 792, 1800)(371, 1379, 778, 1786)(372, 1380, 810, 1818)(373, 1381, 692, 1700)(375, 1383, 812, 1820)(377, 1385, 815, 1823)(378, 1386, 817, 1825)(379, 1387, 691, 1699)(380, 1388, 819, 1827)(381, 1389, 820, 1828)(382, 1390, 603, 1611)(383, 1391, 437, 1445)(384, 1392, 821, 1829)(385, 1393, 442, 1450)(386, 1394, 798, 1806)(387, 1395, 602, 1610)(388, 1396, 772, 1780)(389, 1397, 753, 1761)(390, 1398, 726, 1734)(391, 1399, 427, 1435)(392, 1400, 828, 1836)(394, 1402, 801, 1809)(395, 1403, 831, 1839)(396, 1404, 832, 1840)(398, 1406, 723, 1731)(399, 1407, 836, 1844)(400, 1408, 839, 1847)(402, 1410, 843, 1851)(403, 1411, 563, 1571)(404, 1412, 724, 1732)(406, 1414, 846, 1854)(408, 1416, 747, 1755)(409, 1417, 850, 1858)(410, 1418, 851, 1859)(412, 1420, 856, 1864)(413, 1421, 600, 1608)(414, 1422, 432, 1440)(416, 1424, 859, 1867)(418, 1426, 713, 1721)(419, 1427, 687, 1695)(421, 1429, 867, 1875)(423, 1431, 840, 1848)(425, 1433, 871, 1879)(426, 1434, 873, 1881)(428, 1436, 844, 1852)(429, 1437, 552, 1560)(430, 1438, 876, 1884)(431, 1439, 688, 1696)(434, 1442, 880, 1888)(435, 1443, 881, 1889)(436, 1444, 838, 1846)(438, 1446, 825, 1833)(441, 1449, 888, 1896)(443, 1451, 505, 1513)(444, 1452, 460, 1468)(446, 1454, 837, 1845)(448, 1456, 896, 1904)(449, 1457, 623, 1631)(450, 1458, 898, 1906)(454, 1462, 614, 1622)(458, 1466, 906, 1914)(461, 1469, 675, 1683)(463, 1471, 729, 1737)(464, 1472, 613, 1621)(466, 1474, 672, 1680)(468, 1476, 769, 1777)(471, 1479, 738, 1746)(473, 1481, 666, 1674)(475, 1483, 912, 1920)(479, 1487, 814, 1822)(482, 1490, 919, 1927)(485, 1493, 895, 1903)(487, 1495, 566, 1574)(490, 1498, 905, 1913)(492, 1500, 914, 1922)(493, 1501, 760, 1768)(495, 1503, 728, 1736)(496, 1504, 565, 1573)(498, 1506, 756, 1764)(500, 1508, 669, 1677)(503, 1511, 805, 1813)(507, 1515, 925, 1933)(511, 1519, 733, 1741)(515, 1523, 928, 1936)(517, 1525, 930, 1938)(518, 1526, 931, 1939)(520, 1528, 934, 1942)(521, 1529, 935, 1943)(522, 1530, 887, 1895)(524, 1532, 938, 1946)(525, 1533, 939, 1947)(527, 1535, 942, 1950)(528, 1536, 936, 1944)(530, 1538, 943, 1951)(531, 1539, 932, 1940)(532, 1540, 866, 1874)(534, 1542, 891, 1899)(535, 1543, 862, 1870)(536, 1544, 863, 1871)(538, 1546, 948, 1956)(539, 1547, 901, 1909)(540, 1548, 882, 1890)(542, 1550, 853, 1861)(543, 1551, 833, 1841)(544, 1552, 952, 1960)(546, 1554, 949, 1957)(547, 1555, 858, 1866)(548, 1556, 847, 1855)(550, 1558, 953, 1961)(551, 1559, 940, 1948)(554, 1562, 864, 1872)(555, 1563, 884, 1892)(556, 1564, 907, 1915)(558, 1566, 956, 1964)(559, 1567, 941, 1949)(561, 1569, 957, 1965)(562, 1570, 913, 1921)(567, 1575, 944, 1952)(569, 1577, 787, 1795)(570, 1578, 848, 1856)(571, 1579, 962, 1970)(573, 1581, 793, 1801)(574, 1582, 777, 1785)(576, 1584, 779, 1787)(578, 1586, 946, 1954)(579, 1587, 845, 1853)(580, 1588, 795, 1803)(582, 1590, 764, 1772)(583, 1591, 885, 1893)(584, 1592, 886, 1894)(586, 1594, 773, 1781)(587, 1595, 752, 1760)(589, 1597, 754, 1762)(591, 1599, 951, 1959)(592, 1600, 879, 1887)(593, 1601, 775, 1783)(595, 1603, 968, 1976)(596, 1604, 929, 1937)(598, 1606, 969, 1977)(599, 1607, 822, 1830)(604, 1612, 954, 1962)(606, 1614, 972, 1980)(607, 1615, 937, 1945)(609, 1617, 973, 1981)(610, 1618, 829, 1837)(615, 1623, 955, 1963)(617, 1625, 976, 1984)(618, 1626, 933, 1941)(619, 1627, 878, 1886)(621, 1629, 921, 1929)(622, 1630, 806, 1814)(627, 1635, 958, 1966)(629, 1637, 902, 1910)(630, 1638, 911, 1919)(631, 1639, 800, 1808)(633, 1641, 980, 1988)(634, 1642, 813, 1821)(636, 1644, 861, 1869)(637, 1645, 959, 1967)(638, 1646, 661, 1669)(639, 1647, 984, 1992)(640, 1648, 870, 1878)(642, 1650, 676, 1684)(643, 1651, 768, 1776)(644, 1652, 770, 1778)(646, 1654, 961, 1969)(647, 1655, 890, 1898)(648, 1656, 678, 1686)(650, 1658, 748, 1756)(651, 1659, 986, 1994)(652, 1660, 966, 1974)(653, 1661, 761, 1769)(654, 1662, 665, 1673)(656, 1664, 670, 1678)(658, 1666, 963, 1971)(659, 1667, 964, 1972)(660, 1668, 763, 1771)(662, 1670, 989, 1997)(663, 1671, 842, 1850)(667, 1675, 790, 1798)(668, 1676, 965, 1973)(673, 1681, 985, 1993)(674, 1682, 923, 1931)(679, 1687, 967, 1975)(680, 1688, 960, 1968)(681, 1689, 786, 1794)(683, 1691, 990, 1998)(684, 1692, 945, 1953)(685, 1693, 889, 1897)(689, 1697, 894, 1902)(693, 1701, 970, 1978)(695, 1703, 908, 1916)(696, 1704, 924, 1932)(697, 1705, 865, 1873)(698, 1706, 732, 1740)(699, 1707, 900, 1908)(700, 1708, 971, 1979)(702, 1710, 996, 2004)(703, 1711, 947, 1955)(704, 1712, 874, 1882)(705, 1713, 903, 1911)(706, 1714, 740, 1748)(707, 1715, 918, 1926)(711, 1719, 974, 1982)(714, 1722, 875, 1883)(716, 1724, 922, 1930)(717, 1725, 975, 1983)(718, 1726, 893, 1901)(719, 1727, 988, 1996)(720, 1728, 950, 1958)(721, 1729, 852, 1860)(727, 1735, 977, 1985)(730, 1738, 835, 1843)(734, 1742, 978, 1986)(736, 1744, 995, 2003)(737, 1745, 910, 1918)(739, 1747, 1000, 2008)(741, 1749, 979, 1987)(743, 1751, 915, 1923)(745, 1753, 997, 2005)(749, 1757, 982, 1990)(750, 1758, 855, 1863)(757, 1765, 987, 1995)(758, 1766, 827, 1835)(759, 1767, 857, 1865)(765, 1773, 994, 2002)(766, 1774, 789, 1797)(781, 1789, 920, 1928)(782, 1790, 811, 1819)(783, 1791, 897, 1905)(784, 1792, 868, 1876)(788, 1796, 999, 2007)(797, 1805, 991, 1999)(802, 1810, 992, 2000)(804, 1812, 998, 2006)(807, 1815, 981, 1989)(809, 1817, 926, 1934)(816, 1824, 983, 1991)(818, 1826, 830, 1838)(823, 1831, 917, 1925)(824, 1832, 909, 1917)(826, 1834, 872, 1880)(834, 1842, 860, 1868)(841, 1849, 916, 1924)(849, 1857, 899, 1907)(854, 1862, 927, 1935)(869, 1877, 1001, 2009)(877, 1885, 993, 2001)(883, 1891, 1007, 2015)(892, 1900, 1002, 2010)(904, 1912, 1008, 2016)(1003, 2011, 1006, 2014)(1004, 2012, 1005, 2013)(2017, 3025, 2019, 3027, 2020, 3028)(2018, 3026, 2021, 3029, 2022, 3030)(2023, 3031, 2027, 3035, 2028, 3036)(2024, 3032, 2029, 3037, 2030, 3038)(2025, 3033, 2031, 3039, 2032, 3040)(2026, 3034, 2033, 3041, 2034, 3042)(2035, 3043, 2043, 3051, 2044, 3052)(2036, 3044, 2045, 3053, 2046, 3054)(2037, 3045, 2047, 3055, 2048, 3056)(2038, 3046, 2049, 3057, 2050, 3058)(2039, 3047, 2051, 3059, 2052, 3060)(2040, 3048, 2053, 3061, 2054, 3062)(2041, 3049, 2055, 3063, 2056, 3064)(2042, 3050, 2057, 3065, 2058, 3066)(2059, 3067, 2075, 3083, 2076, 3084)(2060, 3068, 2077, 3085, 2078, 3086)(2061, 3069, 2079, 3087, 2080, 3088)(2062, 3070, 2081, 3089, 2082, 3090)(2063, 3071, 2083, 3091, 2084, 3092)(2064, 3072, 2085, 3093, 2086, 3094)(2065, 3073, 2087, 3095, 2088, 3096)(2066, 3074, 2089, 3097, 2090, 3098)(2067, 3075, 2091, 3099, 2092, 3100)(2068, 3076, 2093, 3101, 2094, 3102)(2069, 3077, 2095, 3103, 2096, 3104)(2070, 3078, 2097, 3105, 2098, 3106)(2071, 3079, 2099, 3107, 2100, 3108)(2072, 3080, 2101, 3109, 2102, 3110)(2073, 3081, 2103, 3111, 2104, 3112)(2074, 3082, 2105, 3113, 2106, 3114)(2107, 3115, 2135, 3143, 2136, 3144)(2108, 3116, 2137, 3145, 2138, 3146)(2109, 3117, 2139, 3147, 2140, 3148)(2110, 3118, 2141, 3149, 2142, 3150)(2111, 3119, 2143, 3151, 2144, 3152)(2112, 3120, 2145, 3153, 2146, 3154)(2113, 3121, 2147, 3155, 2114, 3122)(2115, 3123, 2148, 3156, 2149, 3157)(2116, 3124, 2150, 3158, 2151, 3159)(2117, 3125, 2152, 3160, 2153, 3161)(2118, 3126, 2154, 3162, 2155, 3163)(2119, 3127, 2156, 3164, 2157, 3165)(2120, 3128, 2158, 3166, 2159, 3167)(2121, 3129, 2160, 3168, 2161, 3169)(2122, 3130, 2162, 3170, 2163, 3171)(2123, 3131, 2164, 3172, 2165, 3173)(2124, 3132, 2166, 3174, 2167, 3175)(2125, 3133, 2168, 3176, 2169, 3177)(2126, 3134, 2170, 3178, 2171, 3179)(2127, 3135, 2172, 3180, 2128, 3136)(2129, 3137, 2173, 3181, 2174, 3182)(2130, 3138, 2175, 3183, 2176, 3184)(2131, 3139, 2177, 3185, 2178, 3186)(2132, 3140, 2179, 3187, 2180, 3188)(2133, 3141, 2181, 3189, 2182, 3190)(2134, 3142, 2183, 3191, 2184, 3192)(2185, 3193, 2235, 3243, 2236, 3244)(2186, 3194, 2237, 3245, 2238, 3246)(2187, 3195, 2239, 3247, 2240, 3248)(2188, 3196, 2241, 3249, 2242, 3250)(2189, 3197, 2243, 3251, 2244, 3252)(2190, 3198, 2245, 3253, 2191, 3199)(2192, 3200, 2246, 3254, 2247, 3255)(2193, 3201, 2248, 3256, 2249, 3257)(2194, 3202, 2250, 3258, 2251, 3259)(2195, 3203, 2252, 3260, 2253, 3261)(2196, 3204, 2254, 3262, 2255, 3263)(2197, 3205, 2256, 3264, 2257, 3265)(2198, 3206, 2258, 3266, 2259, 3267)(2199, 3207, 2260, 3268, 2261, 3269)(2200, 3208, 2262, 3270, 2263, 3271)(2201, 3209, 2264, 3272, 2265, 3273)(2202, 3210, 2266, 3274, 2267, 3275)(2203, 3211, 2268, 3276, 2204, 3212)(2205, 3213, 2269, 3277, 2270, 3278)(2206, 3214, 2271, 3279, 2272, 3280)(2207, 3215, 2273, 3281, 2274, 3282)(2208, 3216, 2275, 3283, 2276, 3284)(2209, 3217, 2277, 3285, 2278, 3286)(2210, 3218, 2432, 3440, 2876, 3884)(2211, 3219, 2346, 3354, 2748, 3756)(2212, 3220, 2434, 3442, 2698, 3706)(2213, 3221, 2436, 3444, 2882, 3890)(2214, 3222, 2438, 3446, 2785, 3793)(2215, 3223, 2395, 3403, 2216, 3224)(2217, 3225, 2441, 3449, 2888, 3896)(2218, 3226, 2443, 3451, 2361, 3369)(2219, 3227, 2281, 3289, 2540, 3548)(2220, 3228, 2446, 3454, 2893, 3901)(2221, 3229, 2448, 3456, 2894, 3902)(2222, 3230, 2450, 3458, 2388, 3396)(2223, 3231, 2452, 3460, 2899, 3907)(2224, 3232, 2353, 3361, 2763, 3771)(2225, 3233, 2454, 3462, 2673, 3681)(2226, 3234, 2456, 3464, 2903, 3911)(2227, 3235, 2458, 3466, 2891, 3899)(2228, 3236, 2460, 3468, 2229, 3237)(2230, 3238, 2462, 3470, 2910, 3918)(2231, 3239, 2463, 3471, 2442, 3450)(2232, 3240, 2290, 3298, 2574, 3582)(2233, 3241, 2466, 3474, 2915, 3923)(2234, 3242, 2380, 3388, 2816, 3824)(2279, 3287, 2533, 3541, 2510, 3518)(2280, 3288, 2536, 3544, 2538, 3546)(2282, 3290, 2543, 3551, 2478, 3486)(2283, 3291, 2546, 3554, 2548, 3556)(2284, 3292, 2550, 3558, 2552, 3560)(2285, 3293, 2554, 3562, 2556, 3564)(2286, 3294, 2558, 3566, 2560, 3568)(2287, 3295, 2562, 3570, 2564, 3572)(2288, 3296, 2566, 3574, 2568, 3576)(2289, 3297, 2570, 3578, 2572, 3580)(2291, 3299, 2577, 3585, 2579, 3587)(2292, 3300, 2581, 3589, 2583, 3591)(2293, 3301, 2585, 3593, 2587, 3595)(2294, 3302, 2464, 3472, 2590, 3598)(2295, 3303, 2439, 3447, 2451, 3459)(2296, 3304, 2594, 3602, 2596, 3604)(2297, 3305, 2598, 3606, 2600, 3608)(2298, 3306, 2428, 3436, 2603, 3611)(2299, 3307, 2416, 3424, 2422, 3430)(2300, 3308, 2607, 3615, 2609, 3617)(2301, 3309, 2611, 3619, 2497, 3505)(2302, 3310, 2614, 3622, 2616, 3624)(2303, 3311, 2618, 3626, 2620, 3628)(2304, 3312, 2622, 3630, 2530, 3538)(2305, 3313, 2625, 3633, 2627, 3635)(2306, 3314, 2629, 3637, 2631, 3639)(2307, 3315, 2633, 3641, 2635, 3643)(2308, 3316, 2637, 3645, 2639, 3647)(2309, 3317, 2641, 3649, 2643, 3651)(2310, 3318, 2645, 3653, 2647, 3655)(2311, 3319, 2649, 3657, 2493, 3501)(2312, 3320, 2514, 3522, 2653, 3661)(2313, 3321, 2654, 3662, 2656, 3664)(2314, 3322, 2373, 3381, 2659, 3667)(2315, 3323, 2426, 3434, 2367, 3375)(2316, 3324, 2662, 3670, 2664, 3672)(2317, 3325, 2666, 3674, 2668, 3676)(2318, 3326, 2418, 3426, 2670, 3678)(2319, 3327, 2371, 3379, 2377, 3385)(2320, 3328, 2674, 3682, 2676, 3684)(2321, 3329, 2677, 3685, 2679, 3687)(2322, 3330, 2362, 3370, 2682, 3690)(2323, 3331, 2459, 3467, 2355, 3363)(2324, 3332, 2684, 3692, 2686, 3694)(2325, 3333, 2688, 3696, 2690, 3698)(2326, 3334, 2444, 3452, 2692, 3700)(2327, 3335, 2359, 3367, 2366, 3374)(2328, 3336, 2695, 3703, 2697, 3705)(2329, 3337, 2699, 3707, 2701, 3709)(2330, 3338, 2703, 3711, 2705, 3713)(2331, 3339, 2707, 3715, 2709, 3717)(2332, 3340, 2711, 3719, 2650, 3658)(2333, 3341, 2713, 3721, 2525, 3533)(2334, 3342, 2404, 3412, 2716, 3724)(2335, 3343, 2718, 3726, 2720, 3728)(2336, 3344, 2721, 3729, 2723, 3731)(2337, 3345, 2725, 3733, 2727, 3735)(2338, 3346, 2729, 3737, 2714, 3722)(2339, 3347, 2732, 3740, 2409, 3417)(2340, 3348, 2482, 3490, 2734, 3742)(2341, 3349, 2735, 3743, 2737, 3745)(2342, 3350, 2739, 3747, 2518, 3526)(2343, 3351, 2483, 3491, 2743, 3751)(2344, 3352, 2744, 3752, 2626, 3634)(2345, 3353, 2746, 3754, 2661, 3669)(2347, 3355, 2386, 3394, 2750, 3758)(2348, 3356, 2752, 3760, 2754, 3762)(2349, 3357, 2755, 3763, 2757, 3765)(2350, 3358, 2728, 3736, 2759, 3767)(2351, 3359, 2475, 3483, 2473, 3481)(2352, 3360, 2761, 3769, 2392, 3400)(2354, 3362, 2764, 3772, 2766, 3774)(2356, 3364, 2689, 3697, 2770, 3778)(2357, 3365, 2772, 3780, 2774, 3782)(2358, 3366, 2775, 3783, 2777, 3785)(2360, 3368, 2780, 3788, 2782, 3790)(2363, 3371, 2773, 3781, 2786, 3794)(2364, 3372, 2788, 3796, 2753, 3761)(2365, 3373, 2683, 3691, 2789, 3797)(2368, 3376, 2667, 3675, 2795, 3803)(2369, 3377, 2480, 3488, 2798, 3806)(2370, 3378, 2799, 3807, 2477, 3485)(2372, 3380, 2803, 3811, 2805, 3813)(2374, 3382, 2797, 3805, 2806, 3814)(2375, 3383, 2808, 3816, 2719, 3727)(2376, 3384, 2660, 3668, 2809, 3817)(2378, 3386, 2515, 3523, 2813, 3821)(2379, 3387, 2814, 3822, 2578, 3586)(2381, 3389, 2396, 3404, 2818, 3826)(2382, 3390, 2820, 3828, 2821, 3829)(2383, 3391, 2457, 3465, 2823, 3831)(2384, 3392, 2644, 3652, 2825, 3833)(2385, 3393, 2507, 3515, 2455, 3463)(2387, 3395, 2796, 3804, 2486, 3494)(2389, 3397, 2745, 3753, 2615, 3623)(2390, 3398, 2827, 3835, 2606, 3614)(2391, 3399, 2829, 3837, 2500, 3508)(2393, 3401, 2832, 3840, 2742, 3750)(2394, 3402, 2710, 3718, 2834, 3842)(2397, 3405, 2476, 3484, 2506, 3514)(2398, 3406, 2824, 3832, 2567, 3575)(2399, 3407, 2412, 3420, 2508, 3516)(2400, 3408, 2474, 3482, 2501, 3509)(2401, 3409, 2425, 3433, 2839, 3847)(2402, 3410, 2621, 3629, 2840, 3848)(2403, 3411, 2841, 3849, 2424, 3432)(2405, 3413, 2771, 3779, 2842, 3850)(2406, 3414, 2712, 3720, 2638, 3646)(2407, 3415, 2843, 3851, 2593, 3601)(2408, 3416, 2845, 3853, 2826, 3834)(2410, 3418, 2531, 3539, 2708, 3716)(2411, 3419, 2726, 3734, 2495, 3503)(2413, 3421, 2599, 3607, 2849, 3857)(2414, 3422, 2512, 3520, 2851, 3859)(2415, 3423, 2853, 3861, 2509, 3517)(2417, 3425, 2856, 3864, 2858, 3866)(2419, 3427, 2850, 3858, 2860, 3868)(2420, 3428, 2835, 3843, 2634, 3642)(2421, 3429, 2672, 3680, 2861, 3869)(2423, 3431, 2655, 3663, 2864, 3872)(2427, 3435, 2869, 3877, 2871, 3879)(2429, 3437, 2865, 3873, 2873, 3881)(2430, 3438, 2760, 3768, 2700, 3708)(2431, 3439, 2605, 3613, 2874, 3882)(2433, 3441, 2586, 3594, 2878, 3886)(2435, 3443, 2880, 3888, 2881, 3889)(2437, 3445, 2517, 3525, 2884, 3892)(2440, 3448, 2855, 3863, 2886, 3894)(2445, 3453, 2471, 3479, 2859, 3867)(2447, 3455, 2848, 3856, 2612, 3620)(2449, 3457, 2694, 3702, 2895, 3903)(2453, 3461, 2678, 3686, 2901, 3909)(2461, 3469, 2907, 3915, 2909, 3917)(2465, 3473, 2528, 3536, 2913, 3921)(2467, 3475, 2731, 3739, 2736, 3744)(2468, 3476, 2592, 3600, 2917, 3925)(2469, 3477, 2918, 3926, 2717, 3725)(2470, 3478, 2833, 3841, 2571, 3579)(2472, 3480, 2636, 3644, 2685, 3693)(2479, 3487, 2573, 3581, 2800, 3808)(2481, 3489, 2807, 3815, 2905, 3913)(2484, 3492, 2787, 3795, 2868, 3876)(2485, 3493, 2925, 3933, 2920, 3928)(2487, 3495, 2730, 3738, 2704, 3712)(2488, 3496, 2671, 3679, 2879, 3887)(2489, 3497, 2926, 3934, 2561, 3569)(2490, 3498, 2691, 3699, 2927, 3935)(2491, 3499, 2929, 3937, 2741, 3749)(2492, 3500, 2930, 3938, 2494, 3502)(2496, 3504, 2933, 3941, 2934, 3942)(2498, 3506, 2642, 3650, 2527, 3535)(2499, 3507, 2885, 3893, 2936, 3944)(2502, 3510, 2924, 3932, 2632, 3640)(2503, 3511, 2758, 3766, 2547, 3555)(2504, 3512, 2872, 3880, 2923, 3931)(2505, 3513, 2702, 3710, 2769, 3777)(2511, 3519, 2610, 3618, 2854, 3862)(2513, 3521, 2740, 3748, 2890, 3898)(2516, 3524, 2687, 3695, 2802, 3810)(2519, 3527, 2646, 3654, 2722, 3730)(2520, 3528, 2604, 3612, 2898, 3906)(2521, 3529, 2939, 3947, 2588, 3596)(2522, 3530, 2776, 3784, 2940, 3948)(2523, 3531, 2838, 3846, 2812, 3820)(2524, 3532, 2837, 3845, 2526, 3534)(2529, 3537, 2648, 3656, 2696, 3704)(2532, 3540, 2658, 3666, 2945, 3953)(2534, 3542, 2948, 3956, 2640, 3648)(2535, 3543, 2681, 3689, 2949, 3957)(2537, 3545, 2952, 3960, 2617, 3625)(2539, 3547, 2669, 3677, 2953, 3961)(2541, 3549, 2956, 3964, 2706, 3714)(2542, 3550, 2602, 3610, 2957, 3965)(2544, 3552, 2900, 3908, 2724, 3732)(2545, 3553, 2589, 3597, 2941, 3949)(2549, 3557, 2768, 3776, 2961, 3969)(2551, 3559, 2947, 3955, 2628, 3636)(2553, 3561, 2784, 3792, 2963, 3971)(2555, 3563, 2955, 3963, 2580, 3588)(2557, 3565, 2793, 3801, 2966, 3974)(2559, 3567, 2951, 3959, 2651, 3659)(2563, 3571, 2928, 3936, 2569, 3577)(2565, 3573, 2595, 3603, 2844, 3852)(2575, 3583, 2822, 3830, 2836, 3844)(2576, 3584, 2608, 3616, 2828, 3836)(2582, 3590, 2877, 3885, 2847, 3855)(2584, 3592, 2811, 3819, 2976, 3984)(2591, 3599, 2863, 3871, 2889, 3897)(2597, 3605, 2791, 3799, 2980, 3988)(2601, 3609, 2867, 3875, 2982, 3990)(2613, 3621, 2663, 3671, 2747, 3755)(2619, 3627, 2916, 3924, 2935, 3943)(2623, 3631, 2756, 3764, 2911, 3919)(2624, 3632, 2675, 3683, 2815, 3823)(2630, 3638, 2991, 3999, 2944, 3952)(2652, 3660, 2998, 4006, 2999, 4007)(2657, 3665, 2801, 3809, 2902, 3910)(2665, 3673, 2779, 3787, 2906, 3914)(2680, 3688, 2778, 3786, 2978, 3986)(2693, 3701, 2968, 3976, 2783, 3791)(2715, 3723, 3010, 4018, 3011, 4019)(2733, 3741, 3005, 4013, 3014, 4022)(2738, 3746, 2794, 3802, 2762, 3770)(2749, 3757, 3015, 4023, 3012, 4020)(2751, 3759, 2875, 3883, 2988, 3996)(2765, 3773, 3000, 4008, 2922, 3930)(2767, 3775, 2790, 3798, 2897, 3905)(2781, 3789, 3002, 4010, 2921, 3929)(2792, 3800, 2810, 3818, 2862, 3870)(2804, 3812, 3001, 4009, 3007, 4015)(2817, 3825, 2932, 3940, 2992, 4000)(2819, 3827, 2914, 3922, 2972, 3980)(2830, 3838, 2943, 3951, 3006, 4014)(2831, 3839, 3017, 4025, 2984, 3992)(2846, 3854, 3018, 4026, 3004, 4012)(2852, 3860, 2964, 3972, 2975, 3983)(2857, 3865, 3003, 4011, 2896, 3904)(2866, 3874, 2950, 3958, 2987, 3995)(2870, 3878, 2981, 3989, 2993, 4001)(2883, 3891, 2965, 3973, 2971, 3979)(2887, 3895, 2942, 3950, 3021, 4029)(2892, 3900, 2954, 3962, 3008, 4016)(2904, 3912, 2946, 3954, 2994, 4002)(2908, 3916, 2977, 3985, 2986, 3994)(2912, 3920, 2960, 3968, 3023, 4031)(2919, 3927, 2959, 3967, 2938, 3946)(2931, 3939, 3022, 4030, 2983, 3991)(2937, 3945, 2969, 3977, 2996, 4004)(2958, 3966, 3013, 4021, 3016, 4024)(2962, 3970, 2970, 3978, 3024, 4032)(2967, 3975, 2974, 3982, 3020, 4028)(2973, 3981, 2989, 3997, 2985, 3993)(2979, 3987, 2990, 3998, 3019, 4027)(2995, 4003, 3009, 4017, 2997, 4005)
	L = (1, 2018)(2, 2017)(3, 2023)(4, 2024)(5, 2025)(6, 2026)(7, 2019)(8, 2020)(9, 2021)(10, 2022)(11, 2035)(12, 2036)(13, 2037)(14, 2038)(15, 2039)(16, 2040)(17, 2041)(18, 2042)(19, 2027)(20, 2028)(21, 2029)(22, 2030)(23, 2031)(24, 2032)(25, 2033)(26, 2034)(27, 2059)(28, 2060)(29, 2061)(30, 2062)(31, 2063)(32, 2064)(33, 2065)(34, 2066)(35, 2067)(36, 2068)(37, 2069)(38, 2070)(39, 2071)(40, 2072)(41, 2073)(42, 2074)(43, 2043)(44, 2044)(45, 2045)(46, 2046)(47, 2047)(48, 2048)(49, 2049)(50, 2050)(51, 2051)(52, 2052)(53, 2053)(54, 2054)(55, 2055)(56, 2056)(57, 2057)(58, 2058)(59, 2106)(60, 2107)(61, 2108)(62, 2109)(63, 2110)(64, 2111)(65, 2112)(66, 2113)(67, 2114)(68, 2115)(69, 2116)(70, 2117)(71, 2118)(72, 2119)(73, 2120)(74, 2091)(75, 2090)(76, 2121)(77, 2122)(78, 2123)(79, 2124)(80, 2125)(81, 2126)(82, 2127)(83, 2128)(84, 2129)(85, 2130)(86, 2131)(87, 2132)(88, 2133)(89, 2134)(90, 2075)(91, 2076)(92, 2077)(93, 2078)(94, 2079)(95, 2080)(96, 2081)(97, 2082)(98, 2083)(99, 2084)(100, 2085)(101, 2086)(102, 2087)(103, 2088)(104, 2089)(105, 2092)(106, 2093)(107, 2094)(108, 2095)(109, 2096)(110, 2097)(111, 2098)(112, 2099)(113, 2100)(114, 2101)(115, 2102)(116, 2103)(117, 2104)(118, 2105)(119, 2185)(120, 2186)(121, 2187)(122, 2188)(123, 2189)(124, 2190)(125, 2191)(126, 2192)(127, 2193)(128, 2194)(129, 2195)(130, 2196)(131, 2197)(132, 2198)(133, 2199)(134, 2200)(135, 2201)(136, 2202)(137, 2203)(138, 2204)(139, 2205)(140, 2206)(141, 2207)(142, 2208)(143, 2209)(144, 2210)(145, 2211)(146, 2212)(147, 2213)(148, 2214)(149, 2215)(150, 2216)(151, 2217)(152, 2218)(153, 2219)(154, 2220)(155, 2221)(156, 2222)(157, 2223)(158, 2224)(159, 2225)(160, 2226)(161, 2227)(162, 2228)(163, 2229)(164, 2230)(165, 2231)(166, 2232)(167, 2233)(168, 2234)(169, 2135)(170, 2136)(171, 2137)(172, 2138)(173, 2139)(174, 2140)(175, 2141)(176, 2142)(177, 2143)(178, 2144)(179, 2145)(180, 2146)(181, 2147)(182, 2148)(183, 2149)(184, 2150)(185, 2151)(186, 2152)(187, 2153)(188, 2154)(189, 2155)(190, 2156)(191, 2157)(192, 2158)(193, 2159)(194, 2160)(195, 2161)(196, 2162)(197, 2163)(198, 2164)(199, 2165)(200, 2166)(201, 2167)(202, 2168)(203, 2169)(204, 2170)(205, 2171)(206, 2172)(207, 2173)(208, 2174)(209, 2175)(210, 2176)(211, 2177)(212, 2178)(213, 2179)(214, 2180)(215, 2181)(216, 2182)(217, 2183)(218, 2184)(219, 2469)(220, 2471)(221, 2472)(222, 2473)(223, 2475)(224, 2341)(225, 2362)(226, 2478)(227, 2349)(228, 2481)(229, 2483)(230, 2485)(231, 2486)(232, 2390)(233, 2488)(234, 2490)(235, 2492)(236, 2494)(237, 2496)(238, 2467)(239, 2497)(240, 2499)(241, 2500)(242, 2502)(243, 2504)(244, 2505)(245, 2455)(246, 2507)(247, 2328)(248, 2323)(249, 2510)(250, 2383)(251, 2513)(252, 2515)(253, 2517)(254, 2518)(255, 2345)(256, 2520)(257, 2522)(258, 2524)(259, 2526)(260, 2528)(261, 2529)(262, 2530)(263, 2532)(264, 2535)(265, 2539)(266, 2542)(267, 2545)(268, 2549)(269, 2553)(270, 2557)(271, 2561)(272, 2565)(273, 2569)(274, 2573)(275, 2576)(276, 2580)(277, 2584)(278, 2588)(279, 2591)(280, 2593)(281, 2597)(282, 2601)(283, 2604)(284, 2606)(285, 2610)(286, 2613)(287, 2617)(288, 2621)(289, 2624)(290, 2628)(291, 2632)(292, 2636)(293, 2640)(294, 2644)(295, 2648)(296, 2651)(297, 2449)(298, 2657)(299, 2456)(300, 2661)(301, 2665)(302, 2440)(303, 2671)(304, 2673)(305, 2421)(306, 2680)(307, 2264)(308, 2525)(309, 2687)(310, 2417)(311, 2693)(312, 2263)(313, 2698)(314, 2702)(315, 2706)(316, 2710)(317, 2463)(318, 2433)(319, 2717)(320, 2438)(321, 2724)(322, 2728)(323, 2731)(324, 2468)(325, 2240)(326, 2738)(327, 2741)(328, 2726)(329, 2271)(330, 2747)(331, 2413)(332, 2751)(333, 2243)(334, 2758)(335, 2725)(336, 2760)(337, 2762)(338, 2431)(339, 2767)(340, 2409)(341, 2771)(342, 2427)(343, 2778)(344, 2376)(345, 2783)(346, 2241)(347, 2493)(348, 2787)(349, 2372)(350, 2790)(351, 2792)(352, 2392)(353, 2796)(354, 2461)(355, 2801)(356, 2365)(357, 2436)(358, 2627)(359, 2807)(360, 2360)(361, 2810)(362, 2812)(363, 2642)(364, 2815)(365, 2423)(366, 2819)(367, 2266)(368, 2824)(369, 2641)(370, 2808)(371, 2794)(372, 2826)(373, 2708)(374, 2248)(375, 2828)(376, 2368)(377, 2831)(378, 2833)(379, 2707)(380, 2835)(381, 2836)(382, 2619)(383, 2453)(384, 2837)(385, 2458)(386, 2814)(387, 2618)(388, 2788)(389, 2769)(390, 2742)(391, 2443)(392, 2844)(393, 2356)(394, 2817)(395, 2847)(396, 2848)(397, 2347)(398, 2739)(399, 2852)(400, 2855)(401, 2326)(402, 2859)(403, 2579)(404, 2740)(405, 2321)(406, 2862)(407, 2381)(408, 2763)(409, 2866)(410, 2867)(411, 2358)(412, 2872)(413, 2616)(414, 2448)(415, 2354)(416, 2875)(417, 2334)(418, 2729)(419, 2703)(420, 2373)(421, 2883)(422, 2336)(423, 2856)(424, 2318)(425, 2887)(426, 2889)(427, 2407)(428, 2860)(429, 2568)(430, 2892)(431, 2704)(432, 2430)(433, 2313)(434, 2896)(435, 2897)(436, 2854)(437, 2399)(438, 2841)(439, 2261)(440, 2315)(441, 2904)(442, 2401)(443, 2521)(444, 2476)(445, 2370)(446, 2853)(447, 2333)(448, 2912)(449, 2639)(450, 2914)(451, 2254)(452, 2340)(453, 2235)(454, 2630)(455, 2236)(456, 2237)(457, 2238)(458, 2922)(459, 2239)(460, 2460)(461, 2691)(462, 2242)(463, 2745)(464, 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3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1785
Graph:: bipartite
	v = 840 e = 2016 f = 1134
	degree seq :: [ 4^504, 6^336 ]

E22.1780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2^8, Y1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-3 * Y1^-1 * Y2^2, Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 1009, 2, 1010, 4, 1012)(3, 1011, 8, 1016, 10, 1018)(5, 1013, 12, 1020, 6, 1014)(7, 1015, 15, 1023, 11, 1019)(9, 1017, 18, 1026, 20, 1028)(13, 1021, 25, 1033, 23, 1031)(14, 1022, 24, 1032, 28, 1036)(16, 1024, 31, 1039, 29, 1037)(17, 1025, 33, 1041, 21, 1029)(19, 1027, 36, 1044, 38, 1046)(22, 1030, 30, 1038, 42, 1050)(26, 1034, 47, 1055, 45, 1053)(27, 1035, 48, 1056, 50, 1058)(32, 1040, 56, 1064, 54, 1062)(34, 1042, 59, 1067, 57, 1065)(35, 1043, 61, 1069, 39, 1047)(37, 1045, 64, 1072, 65, 1073)(40, 1048, 58, 1066, 69, 1077)(41, 1049, 70, 1078, 71, 1079)(43, 1051, 46, 1054, 74, 1082)(44, 1052, 75, 1083, 51, 1059)(49, 1057, 81, 1089, 82, 1090)(52, 1060, 55, 1063, 86, 1094)(53, 1061, 87, 1095, 72, 1080)(60, 1068, 96, 1104, 94, 1102)(62, 1070, 99, 1107, 97, 1105)(63, 1071, 101, 1109, 66, 1074)(67, 1075, 98, 1106, 107, 1115)(68, 1076, 108, 1116, 109, 1117)(73, 1081, 114, 1122, 116, 1124)(76, 1084, 120, 1128, 118, 1126)(77, 1085, 79, 1087, 122, 1130)(78, 1086, 123, 1131, 117, 1125)(80, 1088, 126, 1134, 83, 1091)(84, 1092, 119, 1127, 132, 1140)(85, 1093, 133, 1141, 135, 1143)(88, 1096, 139, 1147, 137, 1145)(89, 1097, 91, 1099, 141, 1149)(90, 1098, 142, 1150, 136, 1144)(92, 1100, 95, 1103, 146, 1154)(93, 1101, 147, 1155, 110, 1118)(100, 1108, 156, 1164, 154, 1162)(102, 1110, 159, 1167, 157, 1165)(103, 1111, 161, 1169, 104, 1112)(105, 1113, 158, 1166, 165, 1173)(106, 1114, 166, 1174, 167, 1175)(111, 1119, 172, 1180, 112, 1120)(113, 1121, 138, 1146, 176, 1184)(115, 1123, 178, 1186, 179, 1187)(121, 1129, 185, 1193, 187, 1195)(124, 1132, 191, 1199, 189, 1197)(125, 1133, 192, 1200, 188, 1196)(127, 1135, 196, 1204, 194, 1202)(128, 1136, 198, 1206, 129, 1137)(130, 1138, 195, 1203, 202, 1210)(131, 1139, 203, 1211, 204, 1212)(134, 1142, 207, 1215, 208, 1216)(140, 1148, 214, 1222, 216, 1224)(143, 1151, 220, 1228, 218, 1226)(144, 1152, 221, 1229, 217, 1225)(145, 1153, 223, 1231, 225, 1233)(148, 1156, 229, 1237, 227, 1235)(149, 1157, 151, 1159, 231, 1239)(150, 1158, 232, 1240, 226, 1234)(152, 1160, 155, 1163, 236, 1244)(153, 1161, 237, 1245, 168, 1176)(160, 1168, 246, 1254, 244, 1252)(162, 1170, 249, 1257, 247, 1255)(163, 1171, 248, 1256, 252, 1260)(164, 1172, 253, 1261, 254, 1262)(169, 1177, 259, 1267, 170, 1178)(171, 1179, 228, 1236, 263, 1271)(173, 1181, 266, 1274, 264, 1272)(174, 1182, 265, 1273, 269, 1277)(175, 1183, 270, 1278, 271, 1279)(177, 1185, 273, 1281, 180, 1188)(181, 1189, 190, 1198, 279, 1287)(182, 1190, 184, 1192, 281, 1289)(183, 1191, 282, 1290, 205, 1213)(186, 1194, 286, 1294, 287, 1295)(193, 1201, 295, 1303, 293, 1301)(197, 1205, 300, 1308, 298, 1306)(199, 1207, 303, 1311, 301, 1309)(200, 1208, 302, 1310, 306, 1314)(201, 1209, 307, 1315, 308, 1316)(206, 1214, 313, 1321, 209, 1217)(210, 1218, 219, 1227, 319, 1327)(211, 1219, 213, 1221, 321, 1329)(212, 1220, 322, 1330, 272, 1280)(215, 1223, 326, 1334, 327, 1335)(222, 1230, 335, 1343, 333, 1341)(224, 1232, 337, 1345, 338, 1346)(230, 1238, 344, 1352, 346, 1354)(233, 1241, 350, 1358, 348, 1356)(234, 1242, 351, 1359, 347, 1355)(235, 1243, 353, 1361, 355, 1363)(238, 1246, 359, 1367, 357, 1365)(239, 1247, 241, 1249, 361, 1369)(240, 1248, 362, 1370, 356, 1364)(242, 1250, 245, 1253, 366, 1374)(243, 1251, 367, 1375, 255, 1263)(250, 1258, 376, 1384, 374, 1382)(251, 1259, 377, 1385, 378, 1386)(256, 1264, 383, 1391, 257, 1265)(258, 1266, 358, 1366, 387, 1395)(260, 1268, 390, 1398, 388, 1396)(261, 1269, 389, 1397, 393, 1401)(262, 1270, 394, 1402, 395, 1403)(267, 1275, 401, 1409, 399, 1407)(268, 1276, 402, 1410, 403, 1411)(274, 1282, 410, 1418, 408, 1416)(275, 1283, 412, 1420, 276, 1284)(277, 1285, 409, 1417, 416, 1424)(278, 1286, 417, 1425, 418, 1426)(280, 1288, 420, 1428, 422, 1430)(283, 1291, 426, 1434, 424, 1432)(284, 1292, 427, 1435, 423, 1431)(285, 1293, 429, 1437, 288, 1296)(289, 1297, 294, 1302, 435, 1443)(290, 1298, 292, 1300, 437, 1445)(291, 1299, 438, 1446, 419, 1427)(296, 1304, 299, 1307, 445, 1453)(297, 1305, 446, 1454, 309, 1317)(304, 1312, 455, 1463, 453, 1461)(305, 1313, 456, 1464, 457, 1465)(310, 1318, 462, 1470, 311, 1319)(312, 1320, 425, 1433, 466, 1474)(314, 1322, 469, 1477, 467, 1475)(315, 1323, 471, 1479, 316, 1324)(317, 1325, 468, 1476, 475, 1483)(318, 1326, 476, 1484, 477, 1485)(320, 1328, 479, 1487, 481, 1489)(323, 1331, 485, 1493, 483, 1491)(324, 1332, 486, 1494, 482, 1490)(325, 1333, 488, 1496, 328, 1336)(329, 1337, 334, 1342, 494, 1502)(330, 1338, 332, 1340, 496, 1504)(331, 1339, 497, 1505, 478, 1486)(336, 1344, 503, 1511, 339, 1347)(340, 1348, 349, 1357, 509, 1517)(341, 1349, 343, 1351, 511, 1519)(342, 1350, 512, 1520, 396, 1404)(345, 1353, 516, 1524, 517, 1525)(352, 1360, 525, 1533, 523, 1531)(354, 1362, 527, 1535, 528, 1536)(360, 1368, 534, 1542, 536, 1544)(363, 1371, 460, 1468, 459, 1467)(364, 1372, 539, 1547, 537, 1545)(365, 1373, 541, 1549, 489, 1497)(368, 1376, 546, 1554, 544, 1552)(369, 1377, 371, 1379, 548, 1556)(370, 1378, 549, 1557, 543, 1551)(372, 1380, 375, 1383, 553, 1561)(373, 1381, 554, 1562, 379, 1387)(380, 1388, 487, 1495, 381, 1389)(382, 1390, 545, 1553, 564, 1572)(384, 1392, 566, 1574, 449, 1457)(385, 1393, 565, 1573, 569, 1577)(386, 1394, 570, 1578, 571, 1579)(391, 1399, 577, 1585, 575, 1583)(392, 1400, 500, 1508, 502, 1510)(397, 1405, 400, 1408, 583, 1591)(398, 1406, 584, 1592, 404, 1412)(405, 1413, 550, 1558, 406, 1414)(407, 1415, 484, 1492, 594, 1602)(411, 1419, 598, 1606, 597, 1605)(413, 1421, 601, 1609, 599, 1607)(414, 1422, 600, 1608, 604, 1612)(415, 1423, 520, 1528, 522, 1530)(421, 1429, 609, 1617, 610, 1618)(428, 1436, 590, 1598, 589, 1597)(430, 1438, 582, 1590, 617, 1625)(431, 1439, 620, 1628, 432, 1440)(433, 1441, 618, 1626, 495, 1503)(434, 1442, 623, 1631, 624, 1632)(436, 1444, 507, 1515, 627, 1635)(439, 1447, 631, 1639, 629, 1637)(440, 1448, 632, 1640, 628, 1636)(441, 1449, 443, 1451, 474, 1482)(442, 1450, 634, 1642, 625, 1633)(444, 1452, 637, 1645, 504, 1512)(447, 1455, 641, 1649, 639, 1647)(448, 1456, 450, 1458, 643, 1651)(451, 1459, 454, 1462, 646, 1654)(452, 1460, 647, 1655, 458, 1466)(461, 1469, 640, 1648, 657, 1665)(463, 1471, 659, 1667, 587, 1595)(464, 1472, 658, 1666, 662, 1670)(465, 1473, 663, 1671, 664, 1672)(470, 1478, 668, 1676, 667, 1675)(472, 1480, 671, 1679, 669, 1677)(473, 1481, 670, 1678, 674, 1682)(480, 1488, 679, 1687, 680, 1688)(490, 1498, 688, 1696, 491, 1499)(492, 1500, 686, 1694, 510, 1518)(493, 1501, 691, 1699, 692, 1700)(498, 1506, 698, 1706, 696, 1704)(499, 1507, 699, 1707, 695, 1703)(501, 1509, 701, 1709, 693, 1701)(505, 1513, 705, 1713, 506, 1514)(508, 1516, 708, 1716, 709, 1717)(513, 1521, 715, 1723, 713, 1721)(514, 1522, 716, 1724, 712, 1720)(515, 1523, 718, 1726, 518, 1526)(519, 1527, 524, 1532, 724, 1732)(521, 1529, 725, 1733, 710, 1718)(526, 1534, 611, 1619, 529, 1537)(530, 1538, 538, 1546, 734, 1742)(531, 1539, 533, 1541, 736, 1744)(532, 1540, 737, 1745, 572, 1580)(535, 1543, 741, 1749, 655, 1663)(540, 1548, 703, 1711, 744, 1752)(542, 1550, 687, 1695, 746, 1754)(547, 1555, 751, 1759, 753, 1761)(551, 1559, 756, 1764, 754, 1762)(552, 1560, 758, 1766, 719, 1727)(555, 1563, 645, 1653, 761, 1769)(556, 1564, 558, 1566, 661, 1669)(557, 1565, 763, 1771, 760, 1768)(559, 1567, 717, 1725, 560, 1568)(561, 1569, 762, 1770, 768, 1776)(562, 1570, 673, 1681, 770, 1778)(563, 1571, 771, 1779, 772, 1780)(567, 1575, 775, 1783, 774, 1782)(568, 1576, 728, 1736, 730, 1738)(573, 1581, 576, 1584, 595, 1603)(574, 1582, 780, 1788, 578, 1586)(579, 1587, 764, 1772, 580, 1588)(581, 1589, 714, 1722, 786, 1794)(585, 1593, 790, 1798, 788, 1796)(586, 1594, 588, 1596, 792, 1800)(591, 1599, 789, 1797, 796, 1804)(592, 1600, 752, 1760, 798, 1806)(593, 1601, 799, 1807, 800, 1808)(596, 1604, 802, 1810, 605, 1613)(602, 1610, 727, 1735, 806, 1814)(603, 1611, 808, 1816, 794, 1802)(606, 1614, 810, 1818, 607, 1615)(608, 1616, 630, 1638, 813, 1821)(612, 1620, 616, 1624, 816, 1824)(613, 1621, 615, 1623, 767, 1775)(614, 1622, 817, 1825, 665, 1673)(619, 1627, 821, 1829, 787, 1795)(621, 1629, 823, 1831, 739, 1747)(622, 1630, 822, 1830, 825, 1833)(626, 1634, 828, 1836, 829, 1837)(633, 1641, 653, 1661, 652, 1660)(635, 1643, 778, 1786, 777, 1785)(636, 1644, 833, 1841, 672, 1680)(638, 1646, 704, 1712, 835, 1843)(642, 1650, 839, 1847, 776, 1784)(644, 1652, 841, 1849, 840, 1848)(648, 1656, 723, 1731, 845, 1853)(649, 1657, 651, 1659, 797, 1805)(650, 1658, 811, 1819, 844, 1852)(654, 1662, 846, 1854, 850, 1858)(656, 1664, 852, 1860, 853, 1861)(660, 1668, 856, 1864, 855, 1863)(666, 1674, 861, 1869, 675, 1683)(676, 1684, 866, 1874, 677, 1685)(678, 1686, 697, 1705, 869, 1877)(681, 1689, 685, 1693, 871, 1879)(682, 1690, 684, 1692, 849, 1857)(683, 1691, 872, 1880, 801, 1809)(689, 1697, 877, 1885, 819, 1827)(690, 1698, 876, 1884, 879, 1887)(694, 1702, 820, 1828, 882, 1890)(700, 1708, 721, 1729, 720, 1728)(702, 1710, 859, 1867, 858, 1866)(706, 1714, 831, 1839, 874, 1882)(707, 1715, 886, 1894, 888, 1896)(711, 1719, 875, 1883, 891, 1899)(722, 1730, 895, 1903, 735, 1743)(726, 1734, 901, 1909, 899, 1907)(729, 1737, 867, 1875, 898, 1906)(731, 1739, 904, 1912, 732, 1740)(733, 1741, 906, 1914, 870, 1878)(738, 1746, 881, 1889, 884, 1892)(740, 1748, 826, 1834, 742, 1750)(743, 1751, 745, 1753, 910, 1918)(747, 1755, 755, 1763, 914, 1922)(748, 1756, 750, 1758, 807, 1815)(749, 1757, 868, 1876, 773, 1781)(757, 1765, 903, 1911, 918, 1926)(759, 1767, 896, 1904, 843, 1851)(765, 1773, 923, 1931, 842, 1850)(766, 1774, 887, 1895, 926, 1934)(769, 1777, 911, 1919, 885, 1893)(779, 1787, 860, 1868, 930, 1938)(781, 1789, 804, 1812, 931, 1939)(782, 1790, 783, 1791, 932, 1940)(784, 1792, 857, 1865, 791, 1799)(785, 1793, 854, 1862, 837, 1845)(793, 1801, 936, 1944, 935, 1943)(795, 1803, 892, 1900, 894, 1902)(803, 1811, 862, 1870, 940, 1948)(805, 1813, 880, 1888, 809, 1817)(812, 1820, 939, 1947, 934, 1942)(814, 1822, 944, 1952, 815, 1823)(818, 1826, 890, 1898, 900, 1908)(824, 1832, 947, 1955, 848, 1856)(827, 1835, 832, 1840, 873, 1881)(830, 1838, 883, 1891, 893, 1901)(834, 1842, 938, 1946, 941, 1949)(836, 1844, 838, 1846, 864, 1872)(847, 1855, 958, 1966, 937, 1945)(851, 1859, 908, 1916, 902, 1910)(863, 1871, 889, 1897, 865, 1873)(878, 1886, 965, 1973, 897, 1905)(905, 1913, 978, 1986, 948, 1956)(907, 1915, 974, 1982, 968, 1976)(909, 1917, 949, 1957, 915, 1923)(912, 1920, 971, 1979, 980, 1988)(913, 1921, 981, 1989, 973, 1981)(916, 1924, 976, 1984, 963, 1971)(917, 1925, 919, 1927, 983, 1991)(920, 1928, 922, 1930, 953, 1961)(921, 1929, 972, 1980, 927, 1935)(924, 1932, 960, 1968, 988, 1996)(925, 1933, 984, 1992, 977, 1985)(928, 1936, 929, 1937, 951, 1959)(933, 1941, 991, 1999, 990, 1998)(942, 1950, 967, 1975, 952, 1960)(943, 1951, 992, 2000, 956, 1964)(945, 1953, 994, 2002, 966, 1974)(946, 1954, 962, 1970, 969, 1977)(950, 1958, 961, 1969, 957, 1965)(954, 1962, 955, 1963, 993, 2001)(959, 1967, 975, 1983, 1000, 2008)(964, 1972, 979, 1987, 970, 1978)(982, 1990, 996, 2004, 999, 2007)(985, 1993, 1004, 2012, 1001, 2009)(986, 1994, 998, 2006, 1003, 2011)(987, 1995, 1007, 2015, 1005, 2013)(989, 1997, 1002, 2010, 997, 2005)(995, 2003, 1006, 2014, 1008, 2016)(2017, 3025, 2019, 3027, 2025, 3033, 2035, 3043, 2053, 3061, 2042, 3050, 2029, 3037, 2021, 3029)(2018, 3026, 2022, 3030, 2030, 3038, 2043, 3051, 2065, 3073, 2048, 3056, 2032, 3040, 2023, 3031)(2020, 3028, 2027, 3035, 2038, 3046, 2057, 3065, 2076, 3084, 2050, 3058, 2033, 3041, 2024, 3032)(2026, 3034, 2037, 3045, 2056, 3064, 2084, 3092, 2116, 3124, 2078, 3086, 2051, 3059, 2034, 3042)(2028, 3036, 2039, 3047, 2059, 3067, 2089, 3097, 2131, 3139, 2092, 3100, 2060, 3068, 2040, 3048)(2031, 3039, 2045, 3053, 2068, 3076, 2101, 3109, 2150, 3158, 2104, 3112, 2069, 3077, 2046, 3054)(2036, 3044, 2055, 3063, 2083, 3091, 2122, 3130, 2176, 3184, 2118, 3126, 2079, 3087, 2052, 3060)(2041, 3049, 2061, 3069, 2093, 3101, 2137, 3145, 2202, 3210, 2140, 3148, 2094, 3102, 2062, 3070)(2044, 3052, 2067, 3075, 2100, 3108, 2147, 3155, 2213, 3221, 2143, 3151, 2096, 3104, 2064, 3072)(2047, 3055, 2070, 3078, 2105, 3113, 2156, 3164, 2231, 3239, 2159, 3167, 2106, 3114, 2071, 3079)(2049, 3057, 2073, 3081, 2108, 3116, 2161, 3169, 2240, 3248, 2164, 3172, 2109, 3117, 2074, 3082)(2054, 3062, 2082, 3090, 2121, 3129, 2180, 3188, 2266, 3274, 2178, 3186, 2119, 3127, 2080, 3088)(2058, 3066, 2088, 3096, 2129, 3137, 2191, 3199, 2283, 3291, 2189, 3197, 2127, 3135, 2086, 3094)(2063, 3071, 2081, 3089, 2120, 3128, 2179, 3187, 2267, 3275, 2209, 3217, 2141, 3149, 2095, 3103)(2066, 3074, 2099, 3107, 2146, 3154, 2217, 3225, 2320, 3328, 2215, 3223, 2144, 3152, 2097, 3105)(2072, 3080, 2098, 3106, 2145, 3153, 2216, 3224, 2321, 3329, 2238, 3246, 2160, 3168, 2107, 3115)(2075, 3083, 2110, 3118, 2165, 3173, 2246, 3254, 2361, 3369, 2249, 3257, 2166, 3174, 2111, 3119)(2077, 3085, 2113, 3121, 2168, 3176, 2251, 3259, 2370, 3378, 2254, 3262, 2169, 3177, 2114, 3122)(2085, 3093, 2126, 3134, 2187, 3195, 2278, 3286, 2407, 3415, 2276, 3284, 2185, 3193, 2124, 3132)(2087, 3095, 2128, 3136, 2190, 3198, 2284, 3292, 2368, 3376, 2250, 3258, 2167, 3175, 2112, 3120)(2090, 3098, 2133, 3141, 2197, 3205, 2294, 3302, 2427, 3435, 2290, 3298, 2193, 3201, 2130, 3138)(2091, 3099, 2134, 3142, 2198, 3206, 2296, 3304, 2437, 3445, 2299, 3307, 2199, 3207, 2135, 3143)(2102, 3110, 2152, 3160, 2226, 3234, 2334, 3342, 2486, 3494, 2330, 3338, 2222, 3230, 2149, 3157)(2103, 3111, 2153, 3161, 2227, 3235, 2336, 3344, 2496, 3504, 2339, 3347, 2228, 3236, 2154, 3162)(2115, 3123, 2170, 3178, 2255, 3263, 2376, 3384, 2551, 3559, 2379, 3387, 2256, 3264, 2171, 3179)(2117, 3125, 2173, 3181, 2258, 3266, 2381, 3389, 2558, 3566, 2384, 3392, 2259, 3267, 2174, 3182)(2123, 3131, 2184, 3192, 2274, 3282, 2402, 3410, 2583, 3591, 2400, 3408, 2272, 3280, 2182, 3190)(2125, 3133, 2186, 3194, 2277, 3285, 2408, 3416, 2556, 3564, 2380, 3388, 2257, 3265, 2172, 3180)(2132, 3140, 2196, 3204, 2293, 3301, 2431, 3439, 2618, 3626, 2429, 3437, 2291, 3299, 2194, 3202)(2136, 3144, 2195, 3203, 2292, 3300, 2430, 3438, 2619, 3627, 2444, 3452, 2300, 3308, 2200, 3208)(2138, 3146, 2204, 3212, 2305, 3313, 2450, 3458, 2635, 3643, 2446, 3454, 2301, 3309, 2201, 3209)(2139, 3147, 2205, 3213, 2306, 3314, 2452, 3460, 2642, 3650, 2455, 3463, 2307, 3315, 2206, 3214)(2142, 3150, 2210, 3218, 2312, 3320, 2460, 3468, 2654, 3662, 2463, 3471, 2313, 3321, 2211, 3219)(2148, 3156, 2221, 3229, 2328, 3336, 2481, 3489, 2676, 3684, 2479, 3487, 2326, 3334, 2219, 3227)(2151, 3159, 2225, 3233, 2333, 3341, 2490, 3498, 2688, 3696, 2488, 3496, 2331, 3339, 2223, 3231)(2155, 3163, 2224, 3232, 2332, 3340, 2489, 3497, 2689, 3697, 2503, 3511, 2340, 3348, 2229, 3237)(2157, 3165, 2233, 3241, 2345, 3353, 2509, 3517, 2703, 3711, 2505, 3513, 2341, 3349, 2230, 3238)(2158, 3166, 2234, 3242, 2346, 3354, 2511, 3519, 2710, 3718, 2514, 3522, 2347, 3355, 2235, 3243)(2162, 3170, 2242, 3250, 2356, 3364, 2524, 3532, 2720, 3728, 2520, 3528, 2352, 3360, 2239, 3247)(2163, 3171, 2243, 3251, 2357, 3365, 2526, 3534, 2727, 3735, 2529, 3537, 2358, 3366, 2244, 3252)(2175, 3183, 2260, 3268, 2385, 3393, 2563, 3571, 2768, 3776, 2566, 3574, 2386, 3394, 2261, 3269)(2177, 3185, 2263, 3271, 2388, 3396, 2568, 3576, 2775, 3783, 2571, 3579, 2389, 3397, 2264, 3272)(2181, 3189, 2271, 3279, 2398, 3406, 2579, 3587, 2701, 3709, 2502, 3510, 2396, 3404, 2269, 3277)(2183, 3191, 2273, 3281, 2401, 3409, 2584, 3592, 2773, 3781, 2567, 3575, 2387, 3395, 2262, 3270)(2188, 3196, 2280, 3288, 2413, 3421, 2598, 3606, 2803, 3811, 2601, 3609, 2414, 3422, 2281, 3289)(2192, 3200, 2288, 3296, 2423, 3431, 2609, 3617, 2771, 3779, 2565, 3573, 2421, 3429, 2286, 3294)(2203, 3211, 2304, 3312, 2449, 3457, 2512, 3520, 2711, 3719, 2637, 3645, 2447, 3455, 2302, 3310)(2207, 3215, 2303, 3311, 2448, 3456, 2638, 3646, 2840, 3848, 2649, 3657, 2456, 3464, 2308, 3316)(2208, 3216, 2309, 3317, 2457, 3465, 2491, 3499, 2691, 3699, 2651, 3659, 2458, 3466, 2310, 3318)(2212, 3220, 2314, 3322, 2464, 3472, 2658, 3666, 2581, 3589, 2399, 3407, 2465, 3473, 2315, 3323)(2214, 3222, 2317, 3325, 2467, 3475, 2661, 3669, 2859, 3867, 2664, 3672, 2468, 3476, 2318, 3326)(2218, 3226, 2325, 3333, 2477, 3485, 2672, 3680, 2554, 3562, 2378, 3386, 2475, 3483, 2323, 3331)(2220, 3228, 2327, 3335, 2480, 3488, 2677, 3685, 2858, 3866, 2660, 3668, 2466, 3474, 2316, 3324)(2232, 3240, 2344, 3352, 2508, 3516, 2527, 3535, 2728, 3736, 2705, 3713, 2506, 3514, 2342, 3350)(2236, 3244, 2343, 3351, 2507, 3515, 2706, 3714, 2894, 3902, 2716, 3724, 2515, 3523, 2348, 3356)(2237, 3245, 2349, 3357, 2516, 3524, 2409, 3417, 2594, 3602, 2718, 3726, 2517, 3525, 2350, 3358)(2241, 3249, 2355, 3363, 2523, 3531, 2453, 3461, 2644, 3652, 2722, 3730, 2521, 3529, 2353, 3361)(2245, 3253, 2354, 3362, 2522, 3530, 2723, 3731, 2903, 3911, 2733, 3741, 2530, 3538, 2359, 3367)(2247, 3255, 2363, 3371, 2535, 3543, 2739, 3747, 2912, 3920, 2735, 3743, 2531, 3539, 2360, 3368)(2248, 3256, 2364, 3372, 2536, 3544, 2432, 3440, 2621, 3629, 2742, 3750, 2537, 3545, 2365, 3373)(2252, 3260, 2372, 3380, 2546, 3554, 2749, 3757, 2695, 3703, 2497, 3505, 2542, 3550, 2369, 3377)(2253, 3261, 2373, 3381, 2547, 3555, 2751, 3759, 2923, 3931, 2754, 3762, 2548, 3556, 2374, 3382)(2265, 3273, 2390, 3398, 2572, 3580, 2678, 3686, 2873, 3881, 2780, 3788, 2573, 3581, 2391, 3399)(2268, 3276, 2395, 3403, 2577, 3585, 2783, 3791, 2893, 3901, 2732, 3740, 2575, 3583, 2393, 3401)(2270, 3278, 2397, 3405, 2578, 3586, 2785, 3793, 2940, 3948, 2781, 3789, 2574, 3582, 2392, 3400)(2275, 3283, 2404, 3412, 2589, 3597, 2426, 3434, 2613, 3621, 2797, 3805, 2590, 3598, 2405, 3413)(2279, 3287, 2412, 3420, 2597, 3605, 2801, 3809, 2938, 3946, 2779, 3787, 2595, 3603, 2410, 3418)(2282, 3290, 2415, 3423, 2602, 3610, 2807, 3815, 2674, 3682, 2478, 3486, 2603, 3611, 2416, 3424)(2285, 3293, 2420, 3428, 2607, 3615, 2811, 3819, 2632, 3640, 2443, 3451, 2605, 3613, 2418, 3426)(2287, 3295, 2422, 3430, 2608, 3616, 2813, 3821, 2953, 3961, 2809, 3817, 2604, 3612, 2417, 3425)(2289, 3297, 2424, 3432, 2611, 3619, 2485, 3493, 2683, 3691, 2819, 3827, 2612, 3620, 2425, 3433)(2295, 3303, 2435, 3443, 2624, 3632, 2828, 3836, 2959, 3967, 2827, 3835, 2622, 3630, 2433, 3441)(2297, 3305, 2439, 3447, 2628, 3636, 2747, 3755, 2543, 3551, 2371, 3379, 2545, 3553, 2436, 3444)(2298, 3306, 2440, 3448, 2629, 3637, 2784, 3792, 2943, 3951, 2834, 3842, 2630, 3638, 2441, 3449)(2311, 3319, 2394, 3402, 2576, 3584, 2782, 3790, 2941, 3949, 2850, 3858, 2652, 3660, 2459, 3467)(2319, 3327, 2469, 3477, 2665, 3673, 2814, 3822, 2769, 3777, 2826, 3834, 2666, 3674, 2470, 3478)(2322, 3330, 2474, 3482, 2670, 3678, 2865, 3873, 2847, 3855, 2648, 3656, 2668, 3676, 2472, 3480)(2324, 3332, 2476, 3484, 2671, 3679, 2867, 3875, 2975, 3983, 2863, 3871, 2667, 3675, 2471, 3479)(2329, 3337, 2483, 3491, 2592, 3600, 2406, 3414, 2591, 3599, 2798, 3806, 2682, 3690, 2484, 3492)(2335, 3343, 2494, 3502, 2694, 3702, 2884, 3892, 2979, 3987, 2883, 3891, 2692, 3700, 2492, 3500)(2337, 3345, 2498, 3506, 2697, 3705, 2830, 3838, 2625, 3633, 2438, 3446, 2627, 3635, 2495, 3503)(2338, 3346, 2499, 3507, 2698, 3706, 2866, 3874, 2977, 3985, 2889, 3897, 2699, 3707, 2500, 3508)(2351, 3359, 2473, 3481, 2669, 3677, 2864, 3872, 2976, 3984, 2901, 3909, 2719, 3727, 2518, 3526)(2362, 3370, 2534, 3542, 2738, 3746, 2752, 3760, 2839, 3847, 2715, 3723, 2736, 3744, 2532, 3540)(2366, 3374, 2533, 3541, 2737, 3745, 2913, 3921, 2991, 3999, 2918, 3926, 2743, 3751, 2538, 3546)(2367, 3375, 2539, 3547, 2744, 3752, 2585, 3593, 2792, 3800, 2882, 3890, 2745, 3753, 2540, 3548)(2375, 3383, 2544, 3552, 2748, 3756, 2921, 3929, 2838, 3846, 2636, 3644, 2755, 3763, 2549, 3557)(2377, 3385, 2553, 3561, 2759, 3767, 2806, 3814, 2837, 3845, 2640, 3648, 2756, 3764, 2550, 3558)(2382, 3390, 2559, 3567, 2763, 3771, 2929, 3937, 2891, 3899, 2702, 3710, 2504, 3512, 2557, 3565)(2383, 3391, 2560, 3568, 2764, 3772, 2931, 3939, 2998, 4006, 2932, 3940, 2765, 3773, 2561, 3569)(2403, 3411, 2588, 3596, 2795, 3803, 2888, 3896, 2848, 3856, 2650, 3658, 2793, 3801, 2586, 3594)(2411, 3419, 2596, 3604, 2800, 3808, 2808, 3816, 2951, 3959, 2949, 3957, 2799, 3807, 2593, 3601)(2419, 3427, 2606, 3614, 2810, 3818, 2954, 3962, 2993, 4001, 2919, 3927, 2746, 3754, 2541, 3549)(2428, 3436, 2615, 3623, 2766, 3774, 2562, 3570, 2762, 3770, 2708, 3716, 2821, 3829, 2616, 3624)(2434, 3442, 2623, 3631, 2767, 3775, 2564, 3572, 2770, 3778, 2933, 3941, 2820, 3828, 2614, 3622)(2442, 3450, 2626, 3634, 2831, 3839, 2961, 3969, 2892, 3900, 2704, 3712, 2835, 3843, 2631, 3639)(2445, 3453, 2633, 3641, 2599, 3607, 2675, 3683, 2871, 3879, 2962, 3970, 2836, 3844, 2634, 3642)(2451, 3459, 2641, 3649, 2843, 3851, 2966, 3974, 3012, 4020, 2965, 3973, 2842, 3850, 2639, 3647)(2454, 3462, 2645, 3653, 2787, 3795, 2580, 3588, 2789, 3797, 2885, 3893, 2846, 3854, 2646, 3654)(2461, 3469, 2582, 3590, 2790, 3798, 2944, 3952, 2844, 3852, 2643, 3651, 2519, 3527, 2653, 3661)(2462, 3470, 2655, 3663, 2852, 3860, 2968, 3976, 3014, 4022, 2969, 3977, 2853, 3861, 2656, 3664)(2482, 3490, 2681, 3689, 2876, 3884, 2753, 3761, 2900, 3908, 2717, 3725, 2874, 3882, 2679, 3687)(2487, 3495, 2685, 3693, 2854, 3862, 2657, 3665, 2851, 3859, 2725, 3733, 2879, 3887, 2686, 3694)(2493, 3501, 2693, 3701, 2855, 3863, 2659, 3667, 2856, 3864, 2970, 3978, 2878, 3886, 2684, 3692)(2501, 3509, 2696, 3704, 2886, 3894, 2980, 3988, 2902, 3910, 2721, 3729, 2890, 3898, 2700, 3708)(2510, 3518, 2709, 3717, 2897, 3905, 2984, 3992, 3019, 4027, 2983, 3991, 2896, 3904, 2707, 3715)(2513, 3521, 2712, 3720, 2868, 3876, 2673, 3681, 2870, 3878, 2802, 3810, 2899, 3907, 2713, 3721)(2525, 3533, 2726, 3734, 2906, 3914, 2988, 3996, 3021, 4029, 2987, 3995, 2905, 3913, 2724, 3732)(2528, 3536, 2729, 3737, 2908, 3916, 2812, 3820, 2955, 3963, 2829, 3837, 2909, 3917, 2730, 3738)(2552, 3560, 2758, 3766, 2925, 3933, 2823, 3831, 2617, 3625, 2822, 3830, 2924, 3932, 2757, 3765)(2555, 3563, 2760, 3768, 2927, 3935, 2786, 3794, 2690, 3698, 2881, 3889, 2928, 3936, 2761, 3769)(2569, 3577, 2776, 3784, 2936, 3944, 3002, 4010, 2990, 3998, 2911, 3919, 2734, 3742, 2774, 3782)(2570, 3578, 2777, 3785, 2662, 3670, 2860, 3868, 2972, 3980, 3003, 4011, 2937, 3945, 2778, 3786)(2587, 3595, 2794, 3802, 2877, 3885, 2948, 3956, 3006, 4014, 3005, 4013, 2945, 3953, 2791, 3799)(2600, 3608, 2804, 3812, 2926, 3934, 2996, 4004, 3023, 4031, 3008, 4016, 2950, 3958, 2805, 3813)(2610, 3618, 2817, 3825, 2946, 3954, 2833, 3841, 2916, 3924, 2741, 3749, 2915, 3923, 2815, 3823)(2620, 3628, 2825, 3833, 2958, 3966, 2880, 3888, 2687, 3695, 2849, 3857, 2957, 3965, 2824, 3832)(2647, 3655, 2845, 3853, 2967, 3975, 3013, 4021, 3010, 4018, 2960, 3968, 2887, 3895, 2788, 3796)(2663, 3671, 2861, 3869, 2740, 3748, 2914, 3922, 2992, 4000, 3015, 4023, 2973, 3981, 2862, 3870)(2680, 3688, 2875, 3883, 2796, 3804, 2947, 3955, 2999, 4007, 3017, 4025, 2978, 3986, 2872, 3880)(2714, 3722, 2898, 3906, 2985, 3993, 3020, 4028, 2995, 4003, 2922, 3930, 2750, 3758, 2869, 3877)(2731, 3739, 2907, 3915, 2989, 3997, 3022, 4030, 2994, 4002, 2920, 3928, 2832, 3840, 2910, 3918)(2772, 3780, 2934, 3942, 3000, 4008, 2942, 3950, 2904, 3912, 2986, 3994, 3001, 4009, 2935, 3943)(2816, 3824, 2917, 3925, 2818, 3826, 2956, 3964, 3009, 4017, 3024, 4032, 2997, 4005, 2930, 3938)(2841, 3849, 2964, 3972, 3011, 4019, 2971, 3979, 2857, 3865, 2939, 3947, 3004, 4012, 2963, 3971)(2895, 3903, 2982, 3990, 3018, 4026, 3007, 4015, 2952, 3960, 2974, 3982, 3016, 4024, 2981, 3989)
	L = (1, 2019)(2, 2022)(3, 2025)(4, 2027)(5, 2017)(6, 2030)(7, 2018)(8, 2020)(9, 2035)(10, 2037)(11, 2038)(12, 2039)(13, 2021)(14, 2043)(15, 2045)(16, 2023)(17, 2024)(18, 2026)(19, 2053)(20, 2055)(21, 2056)(22, 2057)(23, 2059)(24, 2028)(25, 2061)(26, 2029)(27, 2065)(28, 2067)(29, 2068)(30, 2031)(31, 2070)(32, 2032)(33, 2073)(34, 2033)(35, 2034)(36, 2036)(37, 2042)(38, 2082)(39, 2083)(40, 2084)(41, 2076)(42, 2088)(43, 2089)(44, 2040)(45, 2093)(46, 2041)(47, 2081)(48, 2044)(49, 2048)(50, 2099)(51, 2100)(52, 2101)(53, 2046)(54, 2105)(55, 2047)(56, 2098)(57, 2108)(58, 2049)(59, 2110)(60, 2050)(61, 2113)(62, 2051)(63, 2052)(64, 2054)(65, 2120)(66, 2121)(67, 2122)(68, 2116)(69, 2126)(70, 2058)(71, 2128)(72, 2129)(73, 2131)(74, 2133)(75, 2134)(76, 2060)(77, 2137)(78, 2062)(79, 2063)(80, 2064)(81, 2066)(82, 2145)(83, 2146)(84, 2147)(85, 2150)(86, 2152)(87, 2153)(88, 2069)(89, 2156)(90, 2071)(91, 2072)(92, 2161)(93, 2074)(94, 2165)(95, 2075)(96, 2087)(97, 2168)(98, 2077)(99, 2170)(100, 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3606)(1591, 3607)(1592, 3608)(1593, 3609)(1594, 3610)(1595, 3611)(1596, 3612)(1597, 3613)(1598, 3614)(1599, 3615)(1600, 3616)(1601, 3617)(1602, 3618)(1603, 3619)(1604, 3620)(1605, 3621)(1606, 3622)(1607, 3623)(1608, 3624)(1609, 3625)(1610, 3626)(1611, 3627)(1612, 3628)(1613, 3629)(1614, 3630)(1615, 3631)(1616, 3632)(1617, 3633)(1618, 3634)(1619, 3635)(1620, 3636)(1621, 3637)(1622, 3638)(1623, 3639)(1624, 3640)(1625, 3641)(1626, 3642)(1627, 3643)(1628, 3644)(1629, 3645)(1630, 3646)(1631, 3647)(1632, 3648)(1633, 3649)(1634, 3650)(1635, 3651)(1636, 3652)(1637, 3653)(1638, 3654)(1639, 3655)(1640, 3656)(1641, 3657)(1642, 3658)(1643, 3659)(1644, 3660)(1645, 3661)(1646, 3662)(1647, 3663)(1648, 3664)(1649, 3665)(1650, 3666)(1651, 3667)(1652, 3668)(1653, 3669)(1654, 3670)(1655, 3671)(1656, 3672)(1657, 3673)(1658, 3674)(1659, 3675)(1660, 3676)(1661, 3677)(1662, 3678)(1663, 3679)(1664, 3680)(1665, 3681)(1666, 3682)(1667, 3683)(1668, 3684)(1669, 3685)(1670, 3686)(1671, 3687)(1672, 3688)(1673, 3689)(1674, 3690)(1675, 3691)(1676, 3692)(1677, 3693)(1678, 3694)(1679, 3695)(1680, 3696)(1681, 3697)(1682, 3698)(1683, 3699)(1684, 3700)(1685, 3701)(1686, 3702)(1687, 3703)(1688, 3704)(1689, 3705)(1690, 3706)(1691, 3707)(1692, 3708)(1693, 3709)(1694, 3710)(1695, 3711)(1696, 3712)(1697, 3713)(1698, 3714)(1699, 3715)(1700, 3716)(1701, 3717)(1702, 3718)(1703, 3719)(1704, 3720)(1705, 3721)(1706, 3722)(1707, 3723)(1708, 3724)(1709, 3725)(1710, 3726)(1711, 3727)(1712, 3728)(1713, 3729)(1714, 3730)(1715, 3731)(1716, 3732)(1717, 3733)(1718, 3734)(1719, 3735)(1720, 3736)(1721, 3737)(1722, 3738)(1723, 3739)(1724, 3740)(1725, 3741)(1726, 3742)(1727, 3743)(1728, 3744)(1729, 3745)(1730, 3746)(1731, 3747)(1732, 3748)(1733, 3749)(1734, 3750)(1735, 3751)(1736, 3752)(1737, 3753)(1738, 3754)(1739, 3755)(1740, 3756)(1741, 3757)(1742, 3758)(1743, 3759)(1744, 3760)(1745, 3761)(1746, 3762)(1747, 3763)(1748, 3764)(1749, 3765)(1750, 3766)(1751, 3767)(1752, 3768)(1753, 3769)(1754, 3770)(1755, 3771)(1756, 3772)(1757, 3773)(1758, 3774)(1759, 3775)(1760, 3776)(1761, 3777)(1762, 3778)(1763, 3779)(1764, 3780)(1765, 3781)(1766, 3782)(1767, 3783)(1768, 3784)(1769, 3785)(1770, 3786)(1771, 3787)(1772, 3788)(1773, 3789)(1774, 3790)(1775, 3791)(1776, 3792)(1777, 3793)(1778, 3794)(1779, 3795)(1780, 3796)(1781, 3797)(1782, 3798)(1783, 3799)(1784, 3800)(1785, 3801)(1786, 3802)(1787, 3803)(1788, 3804)(1789, 3805)(1790, 3806)(1791, 3807)(1792, 3808)(1793, 3809)(1794, 3810)(1795, 3811)(1796, 3812)(1797, 3813)(1798, 3814)(1799, 3815)(1800, 3816)(1801, 3817)(1802, 3818)(1803, 3819)(1804, 3820)(1805, 3821)(1806, 3822)(1807, 3823)(1808, 3824)(1809, 3825)(1810, 3826)(1811, 3827)(1812, 3828)(1813, 3829)(1814, 3830)(1815, 3831)(1816, 3832)(1817, 3833)(1818, 3834)(1819, 3835)(1820, 3836)(1821, 3837)(1822, 3838)(1823, 3839)(1824, 3840)(1825, 3841)(1826, 3842)(1827, 3843)(1828, 3844)(1829, 3845)(1830, 3846)(1831, 3847)(1832, 3848)(1833, 3849)(1834, 3850)(1835, 3851)(1836, 3852)(1837, 3853)(1838, 3854)(1839, 3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	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 E22.1782
Graph:: bipartite
	v = 462 e = 2016 f = 1512
	degree seq :: [ 6^336, 16^126 ]

E22.1781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, Y2^8, Y1^-1 * Y2 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1 * Y2 * Y1^-1 * Y2^3, Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1, (Y2^-2 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1)^2, Y1 * Y2^3 * Y1^-1 * Y2^-2 * Y1 * Y2^-3 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2 * Y1^-1 * Y2^-5 * Y1 * Y2^-2 * Y1 * Y2^6 * Y1^-1 * Y2^4 * Y1^-1 * Y2^2 * Y1^-1, Y2^2 * Y1^-1 * Y2^4 * Y1 * Y2^-2 * Y1 * Y2^3 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-4 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 1009, 2, 1010, 4, 1012)(3, 1011, 8, 1016, 10, 1018)(5, 1013, 12, 1020, 6, 1014)(7, 1015, 15, 1023, 11, 1019)(9, 1017, 18, 1026, 20, 1028)(13, 1021, 25, 1033, 23, 1031)(14, 1022, 24, 1032, 28, 1036)(16, 1024, 31, 1039, 29, 1037)(17, 1025, 33, 1041, 21, 1029)(19, 1027, 36, 1044, 38, 1046)(22, 1030, 30, 1038, 42, 1050)(26, 1034, 47, 1055, 45, 1053)(27, 1035, 48, 1056, 50, 1058)(32, 1040, 56, 1064, 54, 1062)(34, 1042, 59, 1067, 57, 1065)(35, 1043, 61, 1069, 39, 1047)(37, 1045, 64, 1072, 65, 1073)(40, 1048, 58, 1066, 69, 1077)(41, 1049, 70, 1078, 71, 1079)(43, 1051, 46, 1054, 74, 1082)(44, 1052, 75, 1083, 51, 1059)(49, 1057, 81, 1089, 82, 1090)(52, 1060, 55, 1063, 86, 1094)(53, 1061, 87, 1095, 72, 1080)(60, 1068, 96, 1104, 94, 1102)(62, 1070, 99, 1107, 97, 1105)(63, 1071, 101, 1109, 66, 1074)(67, 1075, 98, 1106, 107, 1115)(68, 1076, 108, 1116, 109, 1117)(73, 1081, 114, 1122, 116, 1124)(76, 1084, 120, 1128, 118, 1126)(77, 1085, 79, 1087, 122, 1130)(78, 1086, 123, 1131, 117, 1125)(80, 1088, 126, 1134, 83, 1091)(84, 1092, 119, 1127, 132, 1140)(85, 1093, 133, 1141, 135, 1143)(88, 1096, 139, 1147, 137, 1145)(89, 1097, 91, 1099, 141, 1149)(90, 1098, 142, 1150, 136, 1144)(92, 1100, 95, 1103, 146, 1154)(93, 1101, 147, 1155, 110, 1118)(100, 1108, 156, 1164, 154, 1162)(102, 1110, 159, 1167, 157, 1165)(103, 1111, 161, 1169, 104, 1112)(105, 1113, 158, 1166, 165, 1173)(106, 1114, 166, 1174, 167, 1175)(111, 1119, 172, 1180, 112, 1120)(113, 1121, 138, 1146, 176, 1184)(115, 1123, 178, 1186, 179, 1187)(121, 1129, 185, 1193, 187, 1195)(124, 1132, 191, 1199, 189, 1197)(125, 1133, 192, 1200, 188, 1196)(127, 1135, 196, 1204, 194, 1202)(128, 1136, 198, 1206, 129, 1137)(130, 1138, 195, 1203, 202, 1210)(131, 1139, 203, 1211, 204, 1212)(134, 1142, 207, 1215, 208, 1216)(140, 1148, 214, 1222, 216, 1224)(143, 1151, 220, 1228, 218, 1226)(144, 1152, 221, 1229, 217, 1225)(145, 1153, 223, 1231, 225, 1233)(148, 1156, 229, 1237, 227, 1235)(149, 1157, 151, 1159, 231, 1239)(150, 1158, 232, 1240, 226, 1234)(152, 1160, 155, 1163, 236, 1244)(153, 1161, 237, 1245, 168, 1176)(160, 1168, 246, 1254, 244, 1252)(162, 1170, 249, 1257, 247, 1255)(163, 1171, 248, 1256, 252, 1260)(164, 1172, 253, 1261, 254, 1262)(169, 1177, 259, 1267, 170, 1178)(171, 1179, 228, 1236, 263, 1271)(173, 1181, 266, 1274, 264, 1272)(174, 1182, 265, 1273, 269, 1277)(175, 1183, 270, 1278, 271, 1279)(177, 1185, 273, 1281, 180, 1188)(181, 1189, 190, 1198, 279, 1287)(182, 1190, 184, 1192, 281, 1289)(183, 1191, 282, 1290, 205, 1213)(186, 1194, 286, 1294, 287, 1295)(193, 1201, 295, 1303, 293, 1301)(197, 1205, 300, 1308, 298, 1306)(199, 1207, 303, 1311, 301, 1309)(200, 1208, 302, 1310, 306, 1314)(201, 1209, 307, 1315, 308, 1316)(206, 1214, 313, 1321, 209, 1217)(210, 1218, 219, 1227, 319, 1327)(211, 1219, 213, 1221, 321, 1329)(212, 1220, 322, 1330, 272, 1280)(215, 1223, 326, 1334, 327, 1335)(222, 1230, 335, 1343, 333, 1341)(224, 1232, 337, 1345, 338, 1346)(230, 1238, 344, 1352, 346, 1354)(233, 1241, 350, 1358, 348, 1356)(234, 1242, 351, 1359, 347, 1355)(235, 1243, 296, 1304, 299, 1307)(238, 1246, 357, 1365, 355, 1363)(239, 1247, 241, 1249, 359, 1367)(240, 1248, 360, 1368, 354, 1362)(242, 1250, 245, 1253, 320, 1328)(243, 1251, 363, 1371, 255, 1263)(250, 1258, 372, 1380, 370, 1378)(251, 1259, 373, 1381, 374, 1382)(256, 1264, 379, 1387, 257, 1265)(258, 1266, 356, 1364, 383, 1391)(260, 1268, 328, 1336, 325, 1333)(261, 1269, 384, 1392, 387, 1395)(262, 1270, 388, 1396, 389, 1397)(267, 1275, 395, 1403, 393, 1401)(268, 1276, 396, 1404, 397, 1405)(274, 1282, 339, 1347, 336, 1344)(275, 1283, 404, 1412, 276, 1284)(277, 1285, 402, 1410, 408, 1416)(278, 1286, 409, 1417, 410, 1418)(280, 1288, 391, 1399, 394, 1402)(283, 1291, 416, 1424, 414, 1422)(284, 1292, 417, 1425, 413, 1421)(285, 1293, 314, 1322, 288, 1296)(289, 1297, 294, 1302, 423, 1431)(290, 1298, 292, 1300, 425, 1433)(291, 1299, 426, 1434, 411, 1419)(297, 1305, 432, 1440, 309, 1317)(304, 1312, 441, 1449, 439, 1447)(305, 1313, 442, 1450, 443, 1451)(310, 1318, 448, 1456, 311, 1319)(312, 1320, 415, 1423, 452, 1460)(315, 1323, 455, 1463, 316, 1324)(317, 1325, 453, 1461, 459, 1467)(318, 1326, 460, 1468, 461, 1469)(323, 1331, 467, 1475, 465, 1473)(324, 1332, 468, 1476, 464, 1472)(329, 1337, 334, 1342, 474, 1482)(330, 1338, 332, 1340, 476, 1484)(331, 1339, 477, 1485, 462, 1470)(340, 1348, 349, 1357, 487, 1495)(341, 1349, 343, 1351, 489, 1497)(342, 1350, 490, 1498, 390, 1398)(345, 1353, 494, 1502, 495, 1503)(352, 1360, 503, 1511, 501, 1509)(353, 1361, 435, 1443, 504, 1512)(358, 1366, 508, 1516, 510, 1518)(361, 1369, 514, 1522, 512, 1520)(362, 1370, 515, 1523, 511, 1519)(364, 1372, 519, 1527, 517, 1525)(365, 1373, 367, 1375, 521, 1529)(366, 1374, 522, 1530, 463, 1471)(368, 1376, 371, 1379, 488, 1496)(369, 1377, 449, 1457, 375, 1383)(376, 1384, 531, 1539, 377, 1385)(378, 1386, 518, 1526, 478, 1486)(380, 1388, 496, 1504, 493, 1501)(381, 1389, 535, 1543, 479, 1487)(382, 1390, 538, 1546, 481, 1489)(385, 1393, 540, 1548, 472, 1480)(386, 1394, 541, 1549, 542, 1550)(392, 1400, 547, 1555, 398, 1406)(399, 1407, 555, 1563, 400, 1408)(401, 1409, 466, 1474, 559, 1567)(403, 1411, 560, 1568, 485, 1493)(405, 1413, 563, 1571, 561, 1569)(406, 1414, 562, 1570, 566, 1574)(407, 1415, 567, 1575, 568, 1576)(412, 1420, 550, 1558, 571, 1579)(418, 1426, 574, 1582, 573, 1581)(419, 1427, 575, 1583, 420, 1428)(421, 1429, 454, 1462, 579, 1587)(422, 1430, 505, 1513, 507, 1515)(424, 1432, 437, 1445, 440, 1448)(427, 1435, 554, 1562, 583, 1591)(428, 1436, 557, 1565, 582, 1590)(429, 1437, 431, 1439, 586, 1594)(430, 1438, 558, 1566, 580, 1588)(433, 1441, 513, 1521, 589, 1597)(434, 1442, 436, 1444, 592, 1600)(438, 1446, 556, 1564, 444, 1452)(445, 1453, 601, 1609, 446, 1454)(447, 1455, 590, 1598, 491, 1499)(450, 1458, 605, 1613, 492, 1500)(451, 1459, 608, 1616, 499, 1507)(456, 1464, 612, 1620, 610, 1618)(457, 1465, 611, 1619, 615, 1623)(458, 1466, 616, 1624, 617, 1625)(469, 1477, 621, 1629, 620, 1628)(470, 1478, 622, 1630, 471, 1479)(473, 1481, 572, 1580, 543, 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3804, 2818, 3826, 2687, 3695, 2801, 3809, 2675, 3683)(2558, 3566, 2697, 3705, 2826, 3834, 2922, 3930, 2971, 3979, 2909, 3917, 2800, 3808, 2674, 3682)(2579, 3587, 2711, 3719, 2837, 3845, 2927, 3935, 2985, 3993, 2929, 3937, 2838, 3846, 2712, 3720)(2582, 3590, 2716, 3724, 2815, 3823, 2916, 3924, 2976, 3984, 2932, 3940, 2840, 3848, 2714, 3722)(2584, 3592, 2718, 3726, 2816, 3824, 2917, 3925, 2977, 3985, 2930, 3938, 2839, 3847, 2713, 3721)(2590, 3598, 2715, 3723, 2841, 3849, 2933, 3941, 2986, 3994, 2934, 3942, 2844, 3852, 2721, 3729)(2591, 3599, 2722, 3730, 2811, 3819, 2684, 3692, 2814, 3822, 2842, 3850, 2845, 3853, 2723, 3731)(2608, 3616, 2737, 3745, 2856, 3864, 2843, 3851, 2868, 3876, 2745, 3753, 2852, 3860, 2734, 3742)(2628, 3636, 2754, 3762, 2872, 3880, 2951, 3959, 2999, 4007, 2953, 3961, 2873, 3881, 2755, 3763)(2631, 3639, 2759, 3767, 2865, 3873, 2947, 3955, 2995, 4003, 2956, 3964, 2875, 3883, 2757, 3765)(2633, 3641, 2761, 3769, 2866, 3874, 2948, 3956, 2996, 4004, 2954, 3962, 2874, 3882, 2756, 3764)(2637, 3645, 2758, 3766, 2876, 3884, 2957, 3965, 3000, 4008, 2958, 3966, 2879, 3887, 2763, 3771)(2638, 3646, 2764, 3772, 2861, 3869, 2742, 3750, 2864, 3872, 2877, 3885, 2880, 3888, 2765, 3773)(2648, 3656, 2774, 3782, 2885, 3893, 2788, 3796, 2899, 3907, 2824, 3832, 2886, 3894, 2775, 3783)(2677, 3685, 2804, 3812, 2912, 3920, 2973, 3981, 3006, 4014, 2972, 3980, 2910, 3918, 2802, 3810)(2680, 3688, 2803, 3811, 2911, 3919, 2952, 3960, 2937, 3945, 2848, 3856, 2727, 3735, 2807, 3815)(2681, 3689, 2808, 3816, 2913, 3921, 2955, 3963, 2936, 3944, 2847, 3855, 2729, 3737, 2809, 3817)(2694, 3702, 2822, 3830, 2921, 3929, 2981, 3989, 3007, 4015, 2974, 3982, 2914, 3922, 2810, 3818)(2699, 3707, 2830, 3838, 2925, 3933, 2878, 3886, 2894, 3902, 2781, 3789, 2893, 3901, 2827, 3835)(2724, 3732, 2846, 3854, 2935, 3943, 2987, 3995, 3008, 4016, 2975, 3983, 2915, 3923, 2813, 3821)(2730, 3738, 2849, 3857, 2938, 3946, 2988, 3996, 3013, 4021, 2989, 3997, 2939, 3947, 2850, 3858)(2736, 3744, 2855, 3863, 2943, 3951, 2992, 4000, 3015, 4023, 2991, 3999, 2941, 3949, 2853, 3861)(2738, 3746, 2854, 3862, 2942, 3950, 2907, 3915, 2961, 3969, 2883, 3891, 2769, 3777, 2857, 3865)(2739, 3747, 2858, 3866, 2944, 3952, 2901, 3909, 2960, 3968, 2882, 3890, 2770, 3778, 2859, 3867)(2751, 3759, 2871, 3879, 2950, 3958, 2998, 4006, 3016, 4024, 2993, 4001, 2945, 3953, 2860, 3868)(2766, 3774, 2881, 3889, 2959, 3967, 3001, 4009, 3017, 4025, 2994, 4002, 2946, 3954, 2863, 3871)(2776, 3784, 2887, 3895, 2963, 3971, 3003, 4011, 3020, 4028, 3004, 4012, 2964, 3972, 2888, 3896)(2779, 3787, 2891, 3899, 2831, 3839, 2924, 3932, 2983, 3991, 2928, 3936, 2966, 3974, 2890, 3898)(2780, 3788, 2892, 3900, 2832, 3840, 2926, 3934, 2984, 3992, 2931, 3939, 2965, 3973, 2889, 3897)(2821, 3829, 2920, 3928, 2980, 3988, 3011, 4019, 3022, 4030, 3009, 4017, 2978, 3986, 2918, 3926)(2829, 3837, 2895, 3903, 2967, 3975, 3005, 4013, 3021, 4029, 3012, 4020, 2982, 3990, 2923, 3931)(2851, 3859, 2919, 3927, 2979, 3987, 3010, 4018, 3023, 4031, 3014, 4022, 2990, 3998, 2940, 3948)(2884, 3892, 2949, 3957, 2997, 4005, 3018, 4026, 3024, 4032, 3019, 4027, 3002, 4010, 2962, 3970)
	L = (1, 2019)(2, 2022)(3, 2025)(4, 2027)(5, 2017)(6, 2030)(7, 2018)(8, 2020)(9, 2035)(10, 2037)(11, 2038)(12, 2039)(13, 2021)(14, 2043)(15, 2045)(16, 2023)(17, 2024)(18, 2026)(19, 2053)(20, 2055)(21, 2056)(22, 2057)(23, 2059)(24, 2028)(25, 2061)(26, 2029)(27, 2065)(28, 2067)(29, 2068)(30, 2031)(31, 2070)(32, 2032)(33, 2073)(34, 2033)(35, 2034)(36, 2036)(37, 2042)(38, 2082)(39, 2083)(40, 2084)(41, 2076)(42, 2088)(43, 2089)(44, 2040)(45, 2093)(46, 2041)(47, 2081)(48, 2044)(49, 2048)(50, 2099)(51, 2100)(52, 2101)(53, 2046)(54, 2105)(55, 2047)(56, 2098)(57, 2108)(58, 2049)(59, 2110)(60, 2050)(61, 2113)(62, 2051)(63, 2052)(64, 2054)(65, 2120)(66, 2121)(67, 2122)(68, 2116)(69, 2126)(70, 2058)(71, 2128)(72, 2129)(73, 2131)(74, 2133)(75, 2134)(76, 2060)(77, 2137)(78, 2062)(79, 2063)(80, 2064)(81, 2066)(82, 2145)(83, 2146)(84, 2147)(85, 2150)(86, 2152)(87, 2153)(88, 2069)(89, 2156)(90, 2071)(91, 2072)(92, 2161)(93, 2074)(94, 2165)(95, 2075)(96, 2087)(97, 2168)(98, 2077)(99, 2170)(100, 2078)(101, 2173)(102, 2079)(103, 2080)(104, 2179)(105, 2180)(106, 2176)(107, 2184)(108, 2085)(109, 2186)(110, 2187)(111, 2086)(112, 2190)(113, 2191)(114, 2090)(115, 2092)(116, 2196)(117, 2197)(118, 2198)(119, 2091)(120, 2195)(121, 2202)(122, 2204)(123, 2205)(124, 2094)(125, 2095)(126, 2210)(127, 2096)(128, 2097)(129, 2216)(130, 2217)(131, 2213)(132, 2221)(133, 2102)(134, 2104)(135, 2225)(136, 2226)(137, 2227)(138, 2103)(139, 2224)(140, 2231)(141, 2233)(142, 2234)(143, 2106)(144, 2107)(145, 2240)(146, 2242)(147, 2243)(148, 2109)(149, 2246)(150, 2111)(151, 2112)(152, 2251)(153, 2114)(154, 2255)(155, 2115)(156, 2125)(157, 2258)(158, 2117)(159, 2260)(160, 2118)(161, 2263)(162, 2119)(163, 2267)(164, 2266)(165, 2271)(166, 2123)(167, 2273)(168, 2274)(169, 2124)(170, 2277)(171, 2278)(172, 2280)(173, 2127)(174, 2284)(175, 2283)(176, 2288)(177, 2130)(178, 2132)(179, 2292)(180, 2293)(181, 2294)(182, 2296)(183, 2135)(184, 2136)(185, 2138)(186, 2140)(187, 2304)(188, 2305)(189, 2306)(190, 2139)(191, 2303)(192, 2309)(193, 2141)(194, 2312)(195, 2142)(196, 2314)(197, 2143)(198, 2317)(199, 2144)(200, 2321)(201, 2320)(202, 2325)(203, 2148)(204, 2327)(205, 2328)(206, 2149)(207, 2151)(208, 2332)(209, 2333)(210, 2334)(211, 2336)(212, 2154)(213, 2155)(214, 2157)(215, 2159)(216, 2344)(217, 2345)(218, 2346)(219, 2158)(220, 2343)(221, 2349)(222, 2160)(223, 2162)(224, 2164)(225, 2355)(226, 2356)(227, 2357)(228, 2163)(229, 2354)(230, 2361)(231, 2363)(232, 2364)(233, 2166)(234, 2167)(235, 2369)(236, 2370)(237, 2371)(238, 2169)(239, 2374)(240, 2171)(241, 2172)(242, 2337)(243, 2174)(244, 2381)(245, 2175)(246, 2183)(247, 2384)(248, 2177)(249, 2386)(250, 2178)(251, 2209)(252, 2391)(253, 2181)(254, 2393)(255, 2394)(256, 2182)(257, 2397)(258, 2398)(259, 2341)(260, 2185)(261, 2402)(262, 2401)(263, 2406)(264, 2407)(265, 2188)(266, 2409)(267, 2189)(268, 2368)(269, 2414)(270, 2192)(271, 2416)(272, 2417)(273, 2352)(274, 2193)(275, 2194)(276, 2422)(277, 2423)(278, 2419)(279, 2427)(280, 2428)(281, 2429)(282, 2430)(283, 2199)(284, 2200)(285, 2201)(286, 2203)(287, 2436)(288, 2437)(289, 2438)(290, 2440)(291, 2206)(292, 2207)(293, 2445)(294, 2208)(295, 2390)(296, 2252)(297, 2211)(298, 2450)(299, 2212)(300, 2220)(301, 2453)(302, 2214)(303, 2455)(304, 2215)(305, 2238)(306, 2460)(307, 2218)(308, 2462)(309, 2463)(310, 2219)(311, 2466)(312, 2467)(313, 2301)(314, 2222)(315, 2223)(316, 2473)(317, 2474)(318, 2470)(319, 2478)(320, 2479)(321, 2480)(322, 2481)(323, 2228)(324, 2229)(325, 2230)(326, 2232)(327, 2487)(328, 2488)(329, 2489)(330, 2491)(331, 2235)(332, 2236)(333, 2496)(334, 2237)(335, 2459)(336, 2239)(337, 2241)(338, 2500)(339, 2501)(340, 2502)(341, 2504)(342, 2244)(343, 2245)(344, 2247)(345, 2249)(346, 2512)(347, 2513)(348, 2514)(349, 2248)(350, 2511)(351, 2517)(352, 2250)(353, 2254)(354, 2449)(355, 2521)(356, 2253)(357, 2520)(358, 2525)(359, 2527)(360, 2528)(361, 2256)(362, 2257)(363, 2533)(364, 2259)(365, 2536)(366, 2261)(367, 2262)(368, 2505)(369, 2264)(370, 2541)(371, 2265)(372, 2270)(373, 2268)(374, 2545)(375, 2546)(376, 2269)(377, 2549)(378, 2550)(379, 2509)(380, 2272)(381, 2553)(382, 2552)(383, 2555)(384, 2275)(385, 2276)(386, 2532)(387, 2559)(388, 2279)(389, 2561)(390, 2562)(391, 2297)(392, 2281)(393, 2565)(394, 2282)(395, 2287)(396, 2285)(397, 2569)(398, 2570)(399, 2286)(400, 2573)(401, 2574)(402, 2289)(403, 2290)(404, 2577)(405, 2291)(406, 2581)(407, 2580)(408, 2585)(409, 2295)(410, 2535)(411, 2586)(412, 2299)(413, 2564)(414, 2588)(415, 2298)(416, 2587)(417, 2589)(418, 2300)(419, 2302)(420, 2593)(421, 2594)(422, 2469)(423, 2596)(424, 2597)(425, 2598)(426, 2599)(427, 2307)(428, 2308)(429, 2601)(430, 2310)(431, 2311)(432, 2605)(433, 2313)(434, 2607)(435, 2315)(436, 2316)(437, 2441)(438, 2318)(439, 2611)(440, 2319)(441, 2324)(442, 2322)(443, 2615)(444, 2616)(445, 2323)(446, 2619)(447, 2620)(448, 2385)(449, 2326)(450, 2623)(451, 2622)(452, 2625)(453, 2329)(454, 2330)(455, 2626)(456, 2331)(457, 2630)(458, 2629)(459, 2523)(460, 2335)(461, 2529)(462, 2634)(463, 2339)(464, 2380)(465, 2635)(466, 2338)(467, 2538)(468, 2636)(469, 2340)(470, 2342)(471, 2640)(472, 2641)(473, 2400)(474, 2554)(475, 2642)(476, 2551)(477, 2534)(478, 2347)(479, 2348)(480, 2644)(481, 2350)(482, 2351)(483, 2353)(484, 2650)(485, 2651)(486, 2418)(487, 2624)(488, 2652)(489, 2621)(490, 2606)(491, 2358)(492, 2359)(493, 2360)(494, 2362)(495, 2655)(496, 2656)(497, 2492)(498, 2657)(499, 2365)(500, 2366)(501, 2661)(502, 2367)(503, 2413)(504, 2664)(505, 2439)(506, 2372)(507, 2373)(508, 2375)(509, 2377)(510, 2668)(511, 2669)(512, 2670)(513, 2376)(514, 2667)(515, 2672)(516, 2378)(517, 2425)(518, 2379)(519, 2484)(520, 2676)(521, 2678)(522, 2679)(523, 2382)(524, 2383)(525, 2683)(526, 2387)(527, 2388)(528, 2389)(529, 2689)(530, 2690)(531, 2665)(532, 2392)(533, 2693)(534, 2692)(535, 2395)(536, 2396)(537, 2682)(538, 2399)(539, 2431)(540, 2405)(541, 2403)(542, 2697)(543, 2432)(544, 2404)(545, 2433)(546, 2442)(547, 2560)(548, 2408)(549, 2698)(550, 2410)(551, 2411)(552, 2412)(553, 2704)(554, 2705)(555, 2454)(556, 2415)(557, 2707)(558, 2706)(559, 2522)(560, 2426)(561, 2709)(562, 2420)(563, 2711)(564, 2421)(565, 2434)(566, 2716)(567, 2424)(568, 2718)(569, 2483)(570, 2493)(571, 2719)(572, 2490)(573, 2720)(574, 2715)(575, 2722)(576, 2435)(577, 2726)(578, 2725)(579, 2477)(580, 2575)(581, 2443)(582, 2571)(583, 2563)(584, 2444)(585, 2731)(586, 2732)(587, 2446)(588, 2447)(589, 2476)(590, 2448)(591, 2735)(592, 2737)(593, 2451)(594, 2452)(595, 2741)(596, 2456)(597, 2457)(598, 2458)(599, 2747)(600, 2748)(601, 2710)(602, 2461)(603, 2750)(604, 2749)(605, 2464)(606, 2465)(607, 2740)(608, 2468)(609, 2482)(610, 2752)(611, 2471)(612, 2754)(613, 2472)(614, 2485)(615, 2759)(616, 2475)(617, 2761)(618, 2506)(619, 2503)(620, 2762)(621, 2758)(622, 2764)(623, 2486)(624, 2768)(625, 2767)(626, 2494)(627, 2495)(628, 2771)(629, 2772)(630, 2497)(631, 2498)(632, 2774)(633, 2499)(634, 2778)(635, 2777)(636, 2507)(637, 2508)(638, 2510)(639, 2783)(640, 2784)(641, 2785)(642, 2691)(643, 2515)(644, 2516)(645, 2787)(646, 2518)(647, 2519)(648, 2791)(649, 2524)(650, 2526)(651, 2793)(652, 2794)(653, 2658)(654, 2795)(655, 2530)(656, 2798)(657, 2531)(658, 2558)(659, 2537)(660, 2539)(661, 2804)(662, 2805)(663, 2806)(664, 2803)(665, 2808)(666, 2540)(667, 2812)(668, 2814)(669, 2542)(670, 2543)(671, 2801)(672, 2544)(673, 2820)(674, 2819)(675, 2547)(676, 2548)(677, 2817)(678, 2822)(679, 2556)(680, 2557)(681, 2826)(682, 2828)(683, 2830)(684, 2566)(685, 2567)(686, 2753)(687, 2568)(688, 2835)(689, 2834)(690, 2572)(691, 2833)(692, 2576)(693, 2602)(694, 2578)(695, 2837)(696, 2579)(697, 2584)(698, 2582)(699, 2841)(700, 2815)(701, 2583)(702, 2816)(703, 2825)(704, 2823)(705, 2590)(706, 2811)(707, 2591)(708, 2846)(709, 2592)(710, 2600)(711, 2807)(712, 2595)(713, 2809)(714, 2849)(715, 2603)(716, 2617)(717, 2604)(718, 2608)(719, 2609)(720, 2855)(721, 2856)(722, 2854)(723, 2858)(724, 2610)(725, 2862)(726, 2864)(727, 2612)(728, 2613)(729, 2852)(730, 2614)(731, 2870)(732, 2869)(733, 2618)(734, 2867)(735, 2871)(736, 2645)(737, 2627)(738, 2872)(739, 2628)(740, 2633)(741, 2631)(742, 2876)(743, 2865)(744, 2632)(745, 2866)(746, 2836)(747, 2637)(748, 2861)(749, 2638)(750, 2881)(751, 2639)(752, 2643)(753, 2857)(754, 2859)(755, 2646)(756, 2702)(757, 2647)(758, 2885)(759, 2648)(760, 2887)(761, 2649)(762, 2653)(763, 2891)(764, 2892)(765, 2893)(766, 2654)(767, 2897)(768, 2896)(769, 2659)(770, 2660)(771, 2898)(772, 2899)(773, 2662)(774, 2663)(775, 2760)(776, 2666)(777, 2903)(778, 2904)(779, 2728)(780, 2818)(781, 2671)(782, 2906)(783, 2673)(784, 2674)(785, 2675)(786, 2677)(787, 2911)(788, 2912)(789, 2796)(790, 2717)(791, 2680)(792, 2913)(793, 2681)(794, 2694)(795, 2684)(796, 2685)(797, 2724)(798, 2842)(799, 2916)(800, 2917)(801, 2686)(802, 2687)(803, 2688)(804, 2733)(805, 2920)(806, 2921)(807, 2695)(808, 2886)(809, 2696)(810, 2922)(811, 2699)(812, 2700)(813, 2895)(814, 2925)(815, 2924)(816, 2926)(817, 2701)(818, 2703)(819, 2900)(820, 2708)(821, 2927)(822, 2712)(823, 2713)(824, 2714)(825, 2933)(826, 2845)(827, 2868)(828, 2721)(829, 2723)(830, 2935)(831, 2729)(832, 2727)(833, 2938)(834, 2730)(835, 2919)(836, 2734)(837, 2736)(838, 2942)(839, 2943)(840, 2843)(841, 2738)(842, 2944)(843, 2739)(844, 2751)(845, 2742)(846, 2743)(847, 2766)(848, 2877)(849, 2947)(850, 2948)(851, 2744)(852, 2745)(853, 2746)(854, 2773)(855, 2950)(856, 2951)(857, 2755)(858, 2756)(859, 2757)(860, 2957)(861, 2880)(862, 2894)(863, 2763)(864, 2765)(865, 2959)(866, 2770)(867, 2769)(868, 2949)(869, 2788)(870, 2775)(871, 2963)(872, 2776)(873, 2780)(874, 2779)(875, 2831)(876, 2832)(877, 2827)(878, 2781)(879, 2967)(880, 2782)(881, 2786)(882, 2789)(883, 2824)(884, 2790)(885, 2960)(886, 2792)(887, 2969)(888, 2968)(889, 2797)(890, 2970)(891, 2961)(892, 2799)(893, 2800)(894, 2802)(895, 2952)(896, 2973)(897, 2955)(898, 2810)(899, 2813)(900, 2976)(901, 2977)(902, 2821)(903, 2979)(904, 2980)(905, 2981)(906, 2971)(907, 2829)(908, 2983)(909, 2878)(910, 2984)(911, 2985)(912, 2966)(913, 2838)(914, 2839)(915, 2965)(916, 2840)(917, 2986)(918, 2844)(919, 2987)(920, 2847)(921, 2848)(922, 2988)(923, 2850)(924, 2851)(925, 2853)(926, 2907)(927, 2992)(928, 2901)(929, 2860)(930, 2863)(931, 2995)(932, 2996)(933, 2997)(934, 2998)(935, 2999)(936, 2937)(937, 2873)(938, 2874)(939, 2936)(940, 2875)(941, 3000)(942, 2879)(943, 3001)(944, 2882)(945, 2883)(946, 2884)(947, 3003)(948, 2888)(949, 2889)(950, 2890)(951, 3005)(952, 2902)(953, 2905)(954, 2908)(955, 2909)(956, 2910)(957, 3006)(958, 2914)(959, 2915)(960, 2932)(961, 2930)(962, 2918)(963, 3010)(964, 3011)(965, 3007)(966, 2923)(967, 2928)(968, 2931)(969, 2929)(970, 2934)(971, 3008)(972, 3013)(973, 2939)(974, 2940)(975, 2941)(976, 3015)(977, 2945)(978, 2946)(979, 2956)(980, 2954)(981, 3018)(982, 3016)(983, 2953)(984, 2958)(985, 3017)(986, 2962)(987, 3020)(988, 2964)(989, 3021)(990, 2972)(991, 2974)(992, 2975)(993, 2978)(994, 3023)(995, 3022)(996, 2982)(997, 2989)(998, 2990)(999, 2991)(1000, 2993)(1001, 2994)(1002, 3024)(1003, 3002)(1004, 3004)(1005, 3012)(1006, 3009)(1007, 3014)(1008, 3019)(1009, 3025)(1010, 3026)(1011, 3027)(1012, 3028)(1013, 3029)(1014, 3030)(1015, 3031)(1016, 3032)(1017, 3033)(1018, 3034)(1019, 3035)(1020, 3036)(1021, 3037)(1022, 3038)(1023, 3039)(1024, 3040)(1025, 3041)(1026, 3042)(1027, 3043)(1028, 3044)(1029, 3045)(1030, 3046)(1031, 3047)(1032, 3048)(1033, 3049)(1034, 3050)(1035, 3051)(1036, 3052)(1037, 3053)(1038, 3054)(1039, 3055)(1040, 3056)(1041, 3057)(1042, 3058)(1043, 3059)(1044, 3060)(1045, 3061)(1046, 3062)(1047, 3063)(1048, 3064)(1049, 3065)(1050, 3066)(1051, 3067)(1052, 3068)(1053, 3069)(1054, 3070)(1055, 3071)(1056, 3072)(1057, 3073)(1058, 3074)(1059, 3075)(1060, 3076)(1061, 3077)(1062, 3078)(1063, 3079)(1064, 3080)(1065, 3081)(1066, 3082)(1067, 3083)(1068, 3084)(1069, 3085)(1070, 3086)(1071, 3087)(1072, 3088)(1073, 3089)(1074, 3090)(1075, 3091)(1076, 3092)(1077, 3093)(1078, 3094)(1079, 3095)(1080, 3096)(1081, 3097)(1082, 3098)(1083, 3099)(1084, 3100)(1085, 3101)(1086, 3102)(1087, 3103)(1088, 3104)(1089, 3105)(1090, 3106)(1091, 3107)(1092, 3108)(1093, 3109)(1094, 3110)(1095, 3111)(1096, 3112)(1097, 3113)(1098, 3114)(1099, 3115)(1100, 3116)(1101, 3117)(1102, 3118)(1103, 3119)(1104, 3120)(1105, 3121)(1106, 3122)(1107, 3123)(1108, 3124)(1109, 3125)(1110, 3126)(1111, 3127)(1112, 3128)(1113, 3129)(1114, 3130)(1115, 3131)(1116, 3132)(1117, 3133)(1118, 3134)(1119, 3135)(1120, 3136)(1121, 3137)(1122, 3138)(1123, 3139)(1124, 3140)(1125, 3141)(1126, 3142)(1127, 3143)(1128, 3144)(1129, 3145)(1130, 3146)(1131, 3147)(1132, 3148)(1133, 3149)(1134, 3150)(1135, 3151)(1136, 3152)(1137, 3153)(1138, 3154)(1139, 3155)(1140, 3156)(1141, 3157)(1142, 3158)(1143, 3159)(1144, 3160)(1145, 3161)(1146, 3162)(1147, 3163)(1148, 3164)(1149, 3165)(1150, 3166)(1151, 3167)(1152, 3168)(1153, 3169)(1154, 3170)(1155, 3171)(1156, 3172)(1157, 3173)(1158, 3174)(1159, 3175)(1160, 3176)(1161, 3177)(1162, 3178)(1163, 3179)(1164, 3180)(1165, 3181)(1166, 3182)(1167, 3183)(1168, 3184)(1169, 3185)(1170, 3186)(1171, 3187)(1172, 3188)(1173, 3189)(1174, 3190)(1175, 3191)(1176, 3192)(1177, 3193)(1178, 3194)(1179, 3195)(1180, 3196)(1181, 3197)(1182, 3198)(1183, 3199)(1184, 3200)(1185, 3201)(1186, 3202)(1187, 3203)(1188, 3204)(1189, 3205)(1190, 3206)(1191, 3207)(1192, 3208)(1193, 3209)(1194, 3210)(1195, 3211)(1196, 3212)(1197, 3213)(1198, 3214)(1199, 3215)(1200, 3216)(1201, 3217)(1202, 3218)(1203, 3219)(1204, 3220)(1205, 3221)(1206, 3222)(1207, 3223)(1208, 3224)(1209, 3225)(1210, 3226)(1211, 3227)(1212, 3228)(1213, 3229)(1214, 3230)(1215, 3231)(1216, 3232)(1217, 3233)(1218, 3234)(1219, 3235)(1220, 3236)(1221, 3237)(1222, 3238)(1223, 3239)(1224, 3240)(1225, 3241)(1226, 3242)(1227, 3243)(1228, 3244)(1229, 3245)(1230, 3246)(1231, 3247)(1232, 3248)(1233, 3249)(1234, 3250)(1235, 3251)(1236, 3252)(1237, 3253)(1238, 3254)(1239, 3255)(1240, 3256)(1241, 3257)(1242, 3258)(1243, 3259)(1244, 3260)(1245, 3261)(1246, 3262)(1247, 3263)(1248, 3264)(1249, 3265)(1250, 3266)(1251, 3267)(1252, 3268)(1253, 3269)(1254, 3270)(1255, 3271)(1256, 3272)(1257, 3273)(1258, 3274)(1259, 3275)(1260, 3276)(1261, 3277)(1262, 3278)(1263, 3279)(1264, 3280)(1265, 3281)(1266, 3282)(1267, 3283)(1268, 3284)(1269, 3285)(1270, 3286)(1271, 3287)(1272, 3288)(1273, 3289)(1274, 3290)(1275, 3291)(1276, 3292)(1277, 3293)(1278, 3294)(1279, 3295)(1280, 3296)(1281, 3297)(1282, 3298)(1283, 3299)(1284, 3300)(1285, 3301)(1286, 3302)(1287, 3303)(1288, 3304)(1289, 3305)(1290, 3306)(1291, 3307)(1292, 3308)(1293, 3309)(1294, 3310)(1295, 3311)(1296, 3312)(1297, 3313)(1298, 3314)(1299, 3315)(1300, 3316)(1301, 3317)(1302, 3318)(1303, 3319)(1304, 3320)(1305, 3321)(1306, 3322)(1307, 3323)(1308, 3324)(1309, 3325)(1310, 3326)(1311, 3327)(1312, 3328)(1313, 3329)(1314, 3330)(1315, 3331)(1316, 3332)(1317, 3333)(1318, 3334)(1319, 3335)(1320, 3336)(1321, 3337)(1322, 3338)(1323, 3339)(1324, 3340)(1325, 3341)(1326, 3342)(1327, 3343)(1328, 3344)(1329, 3345)(1330, 3346)(1331, 3347)(1332, 3348)(1333, 3349)(1334, 3350)(1335, 3351)(1336, 3352)(1337, 3353)(1338, 3354)(1339, 3355)(1340, 3356)(1341, 3357)(1342, 3358)(1343, 3359)(1344, 3360)(1345, 3361)(1346, 3362)(1347, 3363)(1348, 3364)(1349, 3365)(1350, 3366)(1351, 3367)(1352, 3368)(1353, 3369)(1354, 3370)(1355, 3371)(1356, 3372)(1357, 3373)(1358, 3374)(1359, 3375)(1360, 3376)(1361, 3377)(1362, 3378)(1363, 3379)(1364, 3380)(1365, 3381)(1366, 3382)(1367, 3383)(1368, 3384)(1369, 3385)(1370, 3386)(1371, 3387)(1372, 3388)(1373, 3389)(1374, 3390)(1375, 3391)(1376, 3392)(1377, 3393)(1378, 3394)(1379, 3395)(1380, 3396)(1381, 3397)(1382, 3398)(1383, 3399)(1384, 3400)(1385, 3401)(1386, 3402)(1387, 3403)(1388, 3404)(1389, 3405)(1390, 3406)(1391, 3407)(1392, 3408)(1393, 3409)(1394, 3410)(1395, 3411)(1396, 3412)(1397, 3413)(1398, 3414)(1399, 3415)(1400, 3416)(1401, 3417)(1402, 3418)(1403, 3419)(1404, 3420)(1405, 3421)(1406, 3422)(1407, 3423)(1408, 3424)(1409, 3425)(1410, 3426)(1411, 3427)(1412, 3428)(1413, 3429)(1414, 3430)(1415, 3431)(1416, 3432)(1417, 3433)(1418, 3434)(1419, 3435)(1420, 3436)(1421, 3437)(1422, 3438)(1423, 3439)(1424, 3440)(1425, 3441)(1426, 3442)(1427, 3443)(1428, 3444)(1429, 3445)(1430, 3446)(1431, 3447)(1432, 3448)(1433, 3449)(1434, 3450)(1435, 3451)(1436, 3452)(1437, 3453)(1438, 3454)(1439, 3455)(1440, 3456)(1441, 3457)(1442, 3458)(1443, 3459)(1444, 3460)(1445, 3461)(1446, 3462)(1447, 3463)(1448, 3464)(1449, 3465)(1450, 3466)(1451, 3467)(1452, 3468)(1453, 3469)(1454, 3470)(1455, 3471)(1456, 3472)(1457, 3473)(1458, 3474)(1459, 3475)(1460, 3476)(1461, 3477)(1462, 3478)(1463, 3479)(1464, 3480)(1465, 3481)(1466, 3482)(1467, 3483)(1468, 3484)(1469, 3485)(1470, 3486)(1471, 3487)(1472, 3488)(1473, 3489)(1474, 3490)(1475, 3491)(1476, 3492)(1477, 3493)(1478, 3494)(1479, 3495)(1480, 3496)(1481, 3497)(1482, 3498)(1483, 3499)(1484, 3500)(1485, 3501)(1486, 3502)(1487, 3503)(1488, 3504)(1489, 3505)(1490, 3506)(1491, 3507)(1492, 3508)(1493, 3509)(1494, 3510)(1495, 3511)(1496, 3512)(1497, 3513)(1498, 3514)(1499, 3515)(1500, 3516)(1501, 3517)(1502, 3518)(1503, 3519)(1504, 3520)(1505, 3521)(1506, 3522)(1507, 3523)(1508, 3524)(1509, 3525)(1510, 3526)(1511, 3527)(1512, 3528)(1513, 3529)(1514, 3530)(1515, 3531)(1516, 3532)(1517, 3533)(1518, 3534)(1519, 3535)(1520, 3536)(1521, 3537)(1522, 3538)(1523, 3539)(1524, 3540)(1525, 3541)(1526, 3542)(1527, 3543)(1528, 3544)(1529, 3545)(1530, 3546)(1531, 3547)(1532, 3548)(1533, 3549)(1534, 3550)(1535, 3551)(1536, 3552)(1537, 3553)(1538, 3554)(1539, 3555)(1540, 3556)(1541, 3557)(1542, 3558)(1543, 3559)(1544, 3560)(1545, 3561)(1546, 3562)(1547, 3563)(1548, 3564)(1549, 3565)(1550, 3566)(1551, 3567)(1552, 3568)(1553, 3569)(1554, 3570)(1555, 3571)(1556, 3572)(1557, 3573)(1558, 3574)(1559, 3575)(1560, 3576)(1561, 3577)(1562, 3578)(1563, 3579)(1564, 3580)(1565, 3581)(1566, 3582)(1567, 3583)(1568, 3584)(1569, 3585)(1570, 3586)(1571, 3587)(1572, 3588)(1573, 3589)(1574, 3590)(1575, 3591)(1576, 3592)(1577, 3593)(1578, 3594)(1579, 3595)(1580, 3596)(1581, 3597)(1582, 3598)(1583, 3599)(1584, 3600)(1585, 3601)(1586, 3602)(1587, 3603)(1588, 3604)(1589, 3605)(1590, 3606)(1591, 3607)(1592, 3608)(1593, 3609)(1594, 3610)(1595, 3611)(1596, 3612)(1597, 3613)(1598, 3614)(1599, 3615)(1600, 3616)(1601, 3617)(1602, 3618)(1603, 3619)(1604, 3620)(1605, 3621)(1606, 3622)(1607, 3623)(1608, 3624)(1609, 3625)(1610, 3626)(1611, 3627)(1612, 3628)(1613, 3629)(1614, 3630)(1615, 3631)(1616, 3632)(1617, 3633)(1618, 3634)(1619, 3635)(1620, 3636)(1621, 3637)(1622, 3638)(1623, 3639)(1624, 3640)(1625, 3641)(1626, 3642)(1627, 3643)(1628, 3644)(1629, 3645)(1630, 3646)(1631, 3647)(1632, 3648)(1633, 3649)(1634, 3650)(1635, 3651)(1636, 3652)(1637, 3653)(1638, 3654)(1639, 3655)(1640, 3656)(1641, 3657)(1642, 3658)(1643, 3659)(1644, 3660)(1645, 3661)(1646, 3662)(1647, 3663)(1648, 3664)(1649, 3665)(1650, 3666)(1651, 3667)(1652, 3668)(1653, 3669)(1654, 3670)(1655, 3671)(1656, 3672)(1657, 3673)(1658, 3674)(1659, 3675)(1660, 3676)(1661, 3677)(1662, 3678)(1663, 3679)(1664, 3680)(1665, 3681)(1666, 3682)(1667, 3683)(1668, 3684)(1669, 3685)(1670, 3686)(1671, 3687)(1672, 3688)(1673, 3689)(1674, 3690)(1675, 3691)(1676, 3692)(1677, 3693)(1678, 3694)(1679, 3695)(1680, 3696)(1681, 3697)(1682, 3698)(1683, 3699)(1684, 3700)(1685, 3701)(1686, 3702)(1687, 3703)(1688, 3704)(1689, 3705)(1690, 3706)(1691, 3707)(1692, 3708)(1693, 3709)(1694, 3710)(1695, 3711)(1696, 3712)(1697, 3713)(1698, 3714)(1699, 3715)(1700, 3716)(1701, 3717)(1702, 3718)(1703, 3719)(1704, 3720)(1705, 3721)(1706, 3722)(1707, 3723)(1708, 3724)(1709, 3725)(1710, 3726)(1711, 3727)(1712, 3728)(1713, 3729)(1714, 3730)(1715, 3731)(1716, 3732)(1717, 3733)(1718, 3734)(1719, 3735)(1720, 3736)(1721, 3737)(1722, 3738)(1723, 3739)(1724, 3740)(1725, 3741)(1726, 3742)(1727, 3743)(1728, 3744)(1729, 3745)(1730, 3746)(1731, 3747)(1732, 3748)(1733, 3749)(1734, 3750)(1735, 3751)(1736, 3752)(1737, 3753)(1738, 3754)(1739, 3755)(1740, 3756)(1741, 3757)(1742, 3758)(1743, 3759)(1744, 3760)(1745, 3761)(1746, 3762)(1747, 3763)(1748, 3764)(1749, 3765)(1750, 3766)(1751, 3767)(1752, 3768)(1753, 3769)(1754, 3770)(1755, 3771)(1756, 3772)(1757, 3773)(1758, 3774)(1759, 3775)(1760, 3776)(1761, 3777)(1762, 3778)(1763, 3779)(1764, 3780)(1765, 3781)(1766, 3782)(1767, 3783)(1768, 3784)(1769, 3785)(1770, 3786)(1771, 3787)(1772, 3788)(1773, 3789)(1774, 3790)(1775, 3791)(1776, 3792)(1777, 3793)(1778, 3794)(1779, 3795)(1780, 3796)(1781, 3797)(1782, 3798)(1783, 3799)(1784, 3800)(1785, 3801)(1786, 3802)(1787, 3803)(1788, 3804)(1789, 3805)(1790, 3806)(1791, 3807)(1792, 3808)(1793, 3809)(1794, 3810)(1795, 3811)(1796, 3812)(1797, 3813)(1798, 3814)(1799, 3815)(1800, 3816)(1801, 3817)(1802, 3818)(1803, 3819)(1804, 3820)(1805, 3821)(1806, 3822)(1807, 3823)(1808, 3824)(1809, 3825)(1810, 3826)(1811, 3827)(1812, 3828)(1813, 3829)(1814, 3830)(1815, 3831)(1816, 3832)(1817, 3833)(1818, 3834)(1819, 3835)(1820, 3836)(1821, 3837)(1822, 3838)(1823, 3839)(1824, 3840)(1825, 3841)(1826, 3842)(1827, 3843)(1828, 3844)(1829, 3845)(1830, 3846)(1831, 3847)(1832, 3848)(1833, 3849)(1834, 3850)(1835, 3851)(1836, 3852)(1837, 3853)(1838, 3854)(1839, 3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	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 E22.1783
Graph:: bipartite
	v = 462 e = 2016 f = 1512
	degree seq :: [ 6^336, 16^126 ]

E22.1782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^8, (Y3^-1 * Y1^-1)^8, (Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2)^2, (Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-1)^3, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 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1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 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3451)(2372, 3380, 2440, 3448)(2373, 3381, 2432, 3440)(2376, 3384, 2524, 3532)(2378, 3386, 2526, 3534)(2379, 3387, 2528, 3536)(2381, 3389, 2531, 3539)(2383, 3391, 2489, 3497)(2384, 3392, 2533, 3541)(2386, 3394, 2536, 3544)(2387, 3395, 2530, 3538)(2389, 3397, 2540, 3548)(2390, 3398, 2542, 3550)(2392, 3400, 2545, 3553)(2394, 3402, 2547, 3555)(2395, 3403, 2548, 3556)(2396, 3404, 2550, 3558)(2398, 3406, 2552, 3560)(2400, 3408, 2483, 3491)(2401, 3409, 2544, 3552)(2402, 3410, 2554, 3562)(2404, 3412, 2557, 3565)(2406, 3414, 2560, 3568)(2408, 3416, 2482, 3490)(2411, 3419, 2479, 3487)(2412, 3420, 2471, 3479)(2415, 3423, 2569, 3577)(2416, 3424, 2570, 3578)(2418, 3426, 2454, 3462)(2419, 3427, 2572, 3580)(2421, 3429, 2575, 3583)(2422, 3430, 2577, 3585)(2424, 3432, 2580, 3588)(2426, 3434, 2583, 3591)(2427, 3435, 2584, 3592)(2428, 3436, 2586, 3594)(2430, 3438, 2589, 3597)(2433, 3441, 2579, 3587)(2434, 3442, 2592, 3600)(2436, 3444, 2595, 3603)(2438, 3446, 2598, 3606)(2447, 3455, 2607, 3615)(2449, 3457, 2609, 3617)(2450, 3458, 2611, 3619)(2452, 3460, 2614, 3622)(2455, 3463, 2616, 3624)(2457, 3465, 2619, 3627)(2458, 3466, 2613, 3621)(2460, 3468, 2623, 3631)(2461, 3469, 2625, 3633)(2463, 3471, 2628, 3636)(2465, 3473, 2630, 3638)(2466, 3474, 2631, 3639)(2467, 3475, 2633, 3641)(2469, 3477, 2635, 3643)(2472, 3480, 2627, 3635)(2473, 3481, 2637, 3645)(2475, 3483, 2640, 3648)(2477, 3485, 2643, 3651)(2486, 3494, 2652, 3660)(2487, 3495, 2653, 3661)(2490, 3498, 2655, 3663)(2491, 3499, 2657, 3665)(2493, 3501, 2660, 3668)(2495, 3503, 2654, 3662)(2498, 3506, 2621, 3629)(2499, 3507, 2649, 3657)(2502, 3510, 2668, 3676)(2504, 3512, 2670, 3678)(2505, 3513, 2671, 3679)(2507, 3515, 2604, 3612)(2508, 3516, 2673, 3681)(2510, 3518, 2676, 3684)(2511, 3519, 2672, 3680)(2513, 3521, 2680, 3688)(2514, 3522, 2682, 3690)(2516, 3524, 2603, 3611)(2517, 3525, 2602, 3610)(2518, 3526, 2686, 3694)(2519, 3527, 2600, 3608)(2520, 3528, 2599, 3607)(2521, 3529, 2590, 3598)(2522, 3530, 2684, 3692)(2523, 3531, 2689, 3697)(2525, 3533, 2692, 3700)(2527, 3535, 2695, 3703)(2529, 3537, 2629, 3637)(2532, 3540, 2626, 3634)(2534, 3542, 2617, 3625)(2535, 3543, 2702, 3710)(2537, 3545, 2677, 3685)(2538, 3546, 2581, 3589)(2539, 3547, 2705, 3713)(2541, 3549, 2708, 3716)(2543, 3551, 2615, 3623)(2546, 3554, 2612, 3620)(2549, 3557, 2714, 3722)(2551, 3559, 2716, 3724)(2553, 3561, 2718, 3726)(2555, 3563, 2694, 3702)(2556, 3564, 2717, 3725)(2558, 3566, 2721, 3729)(2559, 3567, 2690, 3698)(2561, 3569, 2648, 3656)(2562, 3570, 2647, 3655)(2563, 3571, 2726, 3734)(2564, 3572, 2645, 3653)(2565, 3573, 2644, 3652)(2566, 3574, 2582, 3590)(2567, 3575, 2724, 3732)(2568, 3576, 2729, 3737)(2571, 3579, 2578, 3586)(2573, 3581, 2656, 3664)(2574, 3582, 2732, 3740)(2576, 3584, 2735, 3743)(2585, 3593, 2743, 3751)(2587, 3595, 2745, 3753)(2588, 3596, 2746, 3754)(2591, 3599, 2748, 3756)(2593, 3601, 2751, 3759)(2594, 3602, 2747, 3755)(2596, 3604, 2755, 3763)(2597, 3605, 2757, 3765)(2601, 3609, 2761, 3769)(2605, 3613, 2759, 3767)(2606, 3614, 2764, 3772)(2608, 3616, 2767, 3775)(2610, 3618, 2770, 3778)(2618, 3626, 2777, 3785)(2620, 3628, 2752, 3760)(2622, 3630, 2780, 3788)(2624, 3632, 2783, 3791)(2632, 3640, 2789, 3797)(2634, 3642, 2791, 3799)(2636, 3644, 2793, 3801)(2638, 3646, 2769, 3777)(2639, 3647, 2792, 3800)(2641, 3649, 2796, 3804)(2642, 3650, 2765, 3773)(2646, 3654, 2801, 3809)(2650, 3658, 2799, 3807)(2651, 3659, 2804, 3812)(2658, 3666, 2808, 3816)(2659, 3667, 2810, 3818)(2661, 3669, 2806, 3814)(2662, 3670, 2805, 3813)(2663, 3671, 2813, 3821)(2664, 3672, 2779, 3787)(2665, 3673, 2773, 3781)(2666, 3674, 2812, 3820)(2667, 3675, 2815, 3823)(2669, 3677, 2818, 3826)(2674, 3682, 2772, 3780)(2675, 3683, 2823, 3831)(2678, 3686, 2800, 3808)(2679, 3687, 2825, 3833)(2681, 3689, 2828, 3836)(2683, 3691, 2824, 3832)(2685, 3693, 2766, 3774)(2687, 3695, 2833, 3841)(2688, 3696, 2834, 3842)(2691, 3699, 2760, 3768)(2693, 3701, 2837, 3845)(2696, 3704, 2786, 3794)(2697, 3705, 2749, 3757)(2698, 3706, 2740, 3748)(2699, 3707, 2784, 3792)(2700, 3708, 2776, 3784)(2701, 3709, 2775, 3783)(2703, 3711, 2811, 3819)(2704, 3712, 2739, 3747)(2706, 3714, 2846, 3854)(2707, 3715, 2848, 3856)(2709, 3717, 2774, 3782)(2710, 3718, 2850, 3858)(2711, 3719, 2771, 3779)(2712, 3720, 2849, 3857)(2713, 3721, 2851, 3859)(2715, 3723, 2853, 3861)(2719, 3727, 2839, 3847)(2720, 3728, 2857, 3865)(2722, 3730, 2859, 3867)(2723, 3731, 2835, 3843)(2725, 3733, 2753, 3761)(2727, 3735, 2862, 3870)(2728, 3736, 2863, 3871)(2730, 3738, 2737, 3745)(2731, 3739, 2736, 3744)(2733, 3741, 2866, 3874)(2734, 3742, 2868, 3876)(2738, 3746, 2871, 3879)(2741, 3749, 2870, 3878)(2742, 3750, 2873, 3881)(2744, 3752, 2876, 3884)(2750, 3758, 2881, 3889)(2754, 3762, 2883, 3891)(2756, 3764, 2886, 3894)(2758, 3766, 2882, 3890)(2762, 3770, 2891, 3899)(2763, 3771, 2892, 3900)(2768, 3776, 2895, 3903)(2778, 3786, 2869, 3877)(2781, 3789, 2904, 3912)(2782, 3790, 2906, 3914)(2785, 3793, 2908, 3916)(2787, 3795, 2907, 3915)(2788, 3796, 2909, 3917)(2790, 3798, 2911, 3919)(2794, 3802, 2897, 3905)(2795, 3803, 2915, 3923)(2797, 3805, 2917, 3925)(2798, 3806, 2893, 3901)(2802, 3810, 2920, 3928)(2803, 3811, 2921, 3929)(2807, 3815, 2923, 3931)(2809, 3817, 2926, 3934)(2814, 3822, 2930, 3938)(2816, 3824, 2912, 3920)(2817, 3825, 2899, 3907)(2819, 3827, 2933, 3941)(2820, 3828, 2888, 3896)(2821, 3829, 2919, 3927)(2822, 3830, 2896, 3904)(2826, 3834, 2938, 3946)(2827, 3835, 2940, 3948)(2829, 3837, 2936, 3944)(2830, 3838, 2878, 3886)(2831, 3839, 2913, 3921)(2832, 3840, 2941, 3949)(2836, 3844, 2944, 3952)(2838, 3846, 2880, 3888)(2840, 3848, 2910, 3918)(2841, 3849, 2875, 3883)(2842, 3850, 2948, 3956)(2843, 3851, 2927, 3935)(2844, 3852, 2914, 3922)(2845, 3853, 2950, 3958)(2847, 3855, 2953, 3961)(2852, 3860, 2898, 3906)(2854, 3862, 2874, 3882)(2855, 3863, 2889, 3897)(2856, 3864, 2902, 3910)(2858, 3866, 2960, 3968)(2860, 3868, 2946, 3954)(2861, 3869, 2879, 3887)(2864, 3872, 2963, 3971)(2865, 3873, 2964, 3972)(2867, 3875, 2967, 3975)(2872, 3880, 2971, 3979)(2877, 3885, 2974, 3982)(2884, 3892, 2979, 3987)(2885, 3893, 2981, 3989)(2887, 3895, 2977, 3985)(2890, 3898, 2982, 3990)(2894, 3902, 2985, 3993)(2900, 3908, 2989, 3997)(2901, 3909, 2968, 3976)(2903, 3911, 2991, 3999)(2905, 3913, 2994, 4002)(2916, 3924, 3001, 4009)(2918, 3926, 2987, 3995)(2922, 3930, 3004, 4012)(2924, 3932, 2978, 3986)(2925, 3933, 2973, 3981)(2928, 3936, 3003, 4011)(2929, 3937, 3006, 4014)(2931, 3939, 2999, 4007)(2932, 3940, 2966, 3974)(2934, 3942, 2997, 4005)(2935, 3943, 2983, 3991)(2937, 3945, 2965, 3973)(2939, 3947, 2990, 3998)(2942, 3950, 2976, 3984)(2943, 3951, 2995, 4003)(2945, 3953, 3002, 4010)(2947, 3955, 2988, 3996)(2949, 3957, 2980, 3988)(2951, 3959, 3000, 4008)(2952, 3960, 2998, 4006)(2954, 3962, 2984, 3992)(2955, 3963, 3010, 4018)(2956, 3964, 2975, 3983)(2957, 3965, 2993, 4001)(2958, 3966, 2972, 3980)(2959, 3967, 2992, 4000)(2961, 3969, 2986, 3994)(2962, 3970, 2969, 3977)(2970, 3978, 3015, 4023)(2996, 4004, 3019, 4027)(3005, 4013, 3018, 4026)(3007, 4015, 3022, 4030)(3008, 4016, 3017, 4025)(3009, 4017, 3014, 4022)(3011, 4019, 3023, 4031)(3012, 4020, 3021, 4029)(3013, 4021, 3016, 4024)(3020, 4028, 3024, 4032)
	L = (1, 2019)(2, 2021)(3, 2024)(4, 2017)(5, 2028)(6, 2018)(7, 2029)(8, 2033)(9, 2034)(10, 2020)(11, 2025)(12, 2039)(13, 2040)(14, 2022)(15, 2023)(16, 2043)(17, 2047)(18, 2049)(19, 2050)(20, 2026)(21, 2027)(22, 2052)(23, 2056)(24, 2058)(25, 2059)(26, 2030)(27, 2061)(28, 2031)(29, 2032)(30, 2064)(31, 2036)(32, 2035)(33, 2070)(34, 2072)(35, 2073)(36, 2074)(37, 2037)(38, 2038)(39, 2077)(40, 2042)(41, 2041)(42, 2083)(43, 2085)(44, 2086)(45, 2088)(46, 2089)(47, 2044)(48, 2091)(49, 2045)(50, 2046)(51, 2094)(52, 2048)(53, 2097)(54, 2076)(55, 2051)(56, 2103)(57, 2104)(58, 2106)(59, 2107)(60, 2053)(61, 2109)(62, 2054)(63, 2055)(64, 2112)(65, 2057)(66, 2115)(67, 2063)(68, 2060)(69, 2121)(70, 2122)(71, 2062)(72, 2125)(73, 2127)(74, 2128)(75, 2130)(76, 2131)(77, 2065)(78, 2133)(79, 2066)(80, 2067)(81, 2137)(82, 2068)(83, 2069)(84, 2140)(85, 2071)(86, 2143)(87, 2139)(88, 2148)(89, 2075)(90, 2151)(91, 2153)(92, 2154)(93, 2156)(94, 2157)(95, 2078)(96, 2159)(97, 2079)(98, 2080)(99, 2163)(100, 2081)(101, 2082)(102, 2166)(103, 2084)(104, 2169)(105, 2165)(106, 2174)(107, 2087)(108, 2175)(109, 2093)(110, 2090)(111, 2181)(112, 2182)(113, 2092)(114, 2185)(115, 2187)(116, 2188)(117, 2190)(118, 2191)(119, 2095)(120, 2096)(121, 2196)(122, 2197)(123, 2098)(124, 2199)(125, 2099)(126, 2100)(127, 2203)(128, 2101)(129, 2102)(130, 2206)(131, 2193)(132, 2205)(133, 2105)(134, 2211)(135, 2111)(136, 2108)(137, 2217)(138, 2218)(139, 2110)(140, 2221)(141, 2223)(142, 2224)(143, 2226)(144, 2227)(145, 2113)(146, 2114)(147, 2232)(148, 2233)(149, 2116)(150, 2235)(151, 2117)(152, 2118)(153, 2239)(154, 2119)(155, 2120)(156, 2242)(157, 2229)(158, 2241)(159, 2247)(160, 2123)(161, 2124)(162, 2250)(163, 2126)(164, 2253)(165, 2249)(166, 2258)(167, 2129)(168, 2259)(169, 2135)(170, 2132)(171, 2265)(172, 2266)(173, 2134)(174, 2269)(175, 2271)(176, 2272)(177, 2273)(178, 2136)(179, 2138)(180, 2277)(181, 2279)(182, 2280)(183, 2282)(184, 2283)(185, 2141)(186, 2142)(187, 2288)(188, 2289)(189, 2144)(190, 2291)(191, 2145)(192, 2146)(193, 2147)(194, 2295)(195, 2298)(196, 2149)(197, 2150)(198, 2301)(199, 2152)(200, 2304)(201, 2300)(202, 2309)(203, 2155)(204, 2310)(205, 2161)(206, 2158)(207, 2316)(208, 2317)(209, 2160)(210, 2320)(211, 2322)(212, 2323)(213, 2324)(214, 2162)(215, 2164)(216, 2328)(217, 2330)(218, 2331)(219, 2333)(220, 2334)(221, 2167)(222, 2168)(223, 2339)(224, 2340)(225, 2170)(226, 2342)(227, 2171)(228, 2172)(229, 2173)(230, 2346)(231, 2350)(232, 2351)(233, 2176)(234, 2353)(235, 2177)(236, 2178)(237, 2357)(238, 2179)(239, 2180)(240, 2360)(241, 2336)(242, 2359)(243, 2365)(244, 2183)(245, 2184)(246, 2368)(247, 2186)(248, 2371)(249, 2367)(250, 2376)(251, 2189)(252, 2377)(253, 2194)(254, 2192)(255, 2383)(256, 2384)(257, 2386)(258, 2387)(259, 2195)(260, 2388)(261, 2201)(262, 2198)(263, 2394)(264, 2395)(265, 2200)(266, 2398)(267, 2400)(268, 2401)(269, 2402)(270, 2202)(271, 2204)(272, 2406)(273, 2408)(274, 2409)(275, 2411)(276, 2412)(277, 2207)(278, 2208)(279, 2416)(280, 2209)(281, 2210)(282, 2421)(283, 2422)(284, 2212)(285, 2424)(286, 2213)(287, 2214)(288, 2428)(289, 2215)(290, 2216)(291, 2431)(292, 2285)(293, 2430)(294, 2436)(295, 2219)(296, 2220)(297, 2439)(298, 2222)(299, 2442)(300, 2438)(301, 2447)(302, 2225)(303, 2448)(304, 2230)(305, 2228)(306, 2454)(307, 2455)(308, 2457)(309, 2458)(310, 2231)(311, 2459)(312, 2237)(313, 2234)(314, 2465)(315, 2466)(316, 2236)(317, 2469)(318, 2471)(319, 2472)(320, 2473)(321, 2238)(322, 2240)(323, 2477)(324, 2479)(325, 2480)(326, 2482)(327, 2483)(328, 2243)(329, 2244)(330, 2487)(331, 2245)(332, 2246)(333, 2248)(334, 2493)(335, 2495)(336, 2496)(337, 2498)(338, 2499)(339, 2251)(340, 2252)(341, 2504)(342, 2505)(343, 2254)(344, 2507)(345, 2255)(346, 2256)(347, 2257)(348, 2509)(349, 2513)(350, 2514)(351, 2260)(352, 2516)(353, 2261)(354, 2262)(355, 2519)(356, 2263)(357, 2264)(358, 2432)(359, 2501)(360, 2520)(361, 2525)(362, 2267)(363, 2268)(364, 2528)(365, 2270)(366, 2531)(367, 2527)(368, 2534)(369, 2274)(370, 2537)(371, 2538)(372, 2539)(373, 2275)(374, 2276)(375, 2542)(376, 2278)(377, 2545)(378, 2541)(379, 2549)(380, 2281)(381, 2550)(382, 2286)(383, 2284)(384, 2484)(385, 2553)(386, 2555)(387, 2556)(388, 2287)(389, 2557)(390, 2293)(391, 2290)(392, 2562)(393, 2563)(394, 2292)(395, 2565)(396, 2566)(397, 2567)(398, 2568)(399, 2294)(400, 2571)(401, 2453)(402, 2296)(403, 2297)(404, 2299)(405, 2576)(406, 2578)(407, 2579)(408, 2581)(409, 2582)(410, 2302)(411, 2303)(412, 2587)(413, 2588)(414, 2305)(415, 2590)(416, 2306)(417, 2307)(418, 2308)(419, 2592)(420, 2596)(421, 2597)(422, 2311)(423, 2599)(424, 2312)(425, 2313)(426, 2602)(427, 2314)(428, 2315)(429, 2361)(430, 2584)(431, 2603)(432, 2608)(433, 2318)(434, 2319)(435, 2611)(436, 2321)(437, 2614)(438, 2610)(439, 2617)(440, 2325)(441, 2620)(442, 2621)(443, 2622)(444, 2326)(445, 2327)(446, 2625)(447, 2329)(448, 2628)(449, 2624)(450, 2632)(451, 2332)(452, 2633)(453, 2337)(454, 2335)(455, 2413)(456, 2636)(457, 2638)(458, 2639)(459, 2338)(460, 2640)(461, 2344)(462, 2341)(463, 2645)(464, 2646)(465, 2343)(466, 2648)(467, 2649)(468, 2650)(469, 2651)(470, 2345)(471, 2654)(472, 2382)(473, 2347)(474, 2348)(475, 2349)(476, 2657)(477, 2355)(478, 2352)(479, 2662)(480, 2663)(481, 2354)(482, 2665)(483, 2399)(484, 2666)(485, 2667)(486, 2356)(487, 2358)(488, 2605)(489, 2397)(490, 2672)(491, 2393)(492, 2362)(493, 2675)(494, 2363)(495, 2364)(496, 2366)(497, 2681)(498, 2683)(499, 2684)(500, 2685)(501, 2369)(502, 2370)(503, 2688)(504, 2372)(505, 2373)(506, 2374)(507, 2375)(508, 2689)(509, 2693)(510, 2694)(511, 2378)(512, 2696)(513, 2379)(514, 2380)(515, 2699)(516, 2381)(517, 2686)(518, 2700)(519, 2385)(520, 2702)(521, 2418)(522, 2704)(523, 2706)(524, 2707)(525, 2389)(526, 2701)(527, 2390)(528, 2391)(529, 2674)(530, 2392)(531, 2604)(532, 2414)(533, 2711)(534, 2715)(535, 2396)(536, 2671)(537, 2664)(538, 2403)(539, 2695)(540, 2691)(541, 2720)(542, 2404)(543, 2405)(544, 2690)(545, 2407)(546, 2722)(547, 2727)(548, 2410)(549, 2415)(550, 2583)(551, 2634)(552, 2682)(553, 2678)(554, 2417)(555, 2731)(556, 2661)(557, 2419)(558, 2420)(559, 2732)(560, 2426)(561, 2423)(562, 2737)(563, 2738)(564, 2425)(565, 2740)(566, 2470)(567, 2741)(568, 2742)(569, 2427)(570, 2429)(571, 2522)(572, 2468)(573, 2747)(574, 2464)(575, 2433)(576, 2750)(577, 2434)(578, 2435)(579, 2437)(580, 2756)(581, 2758)(582, 2759)(583, 2760)(584, 2440)(585, 2441)(586, 2763)(587, 2443)(588, 2444)(589, 2445)(590, 2446)(591, 2764)(592, 2768)(593, 2769)(594, 2449)(595, 2771)(596, 2450)(597, 2451)(598, 2774)(599, 2452)(600, 2761)(601, 2775)(602, 2456)(603, 2777)(604, 2489)(605, 2779)(606, 2781)(607, 2782)(608, 2460)(609, 2776)(610, 2461)(611, 2462)(612, 2749)(613, 2463)(614, 2521)(615, 2485)(616, 2786)(617, 2790)(618, 2467)(619, 2746)(620, 2739)(621, 2474)(622, 2770)(623, 2766)(624, 2795)(625, 2475)(626, 2476)(627, 2765)(628, 2478)(629, 2797)(630, 2802)(631, 2481)(632, 2486)(633, 2500)(634, 2551)(635, 2757)(636, 2753)(637, 2488)(638, 2806)(639, 2736)(640, 2490)(641, 2807)(642, 2491)(643, 2492)(644, 2810)(645, 2494)(646, 2809)(647, 2814)(648, 2497)(649, 2502)(650, 2803)(651, 2816)(652, 2817)(653, 2503)(654, 2818)(655, 2506)(656, 2821)(657, 2822)(658, 2508)(659, 2824)(660, 2536)(661, 2510)(662, 2511)(663, 2512)(664, 2825)(665, 2517)(666, 2515)(667, 2829)(668, 2830)(669, 2831)(670, 2832)(671, 2518)(672, 2787)(673, 2835)(674, 2523)(675, 2524)(676, 2526)(677, 2838)(678, 2839)(679, 2752)(680, 2840)(681, 2529)(682, 2530)(683, 2842)(684, 2532)(685, 2533)(686, 2843)(687, 2535)(688, 2844)(689, 2540)(690, 2847)(691, 2837)(692, 2849)(693, 2543)(694, 2544)(695, 2546)(696, 2547)(697, 2548)(698, 2851)(699, 2819)(700, 2854)(701, 2552)(702, 2850)(703, 2554)(704, 2858)(705, 2827)(706, 2558)(707, 2559)(708, 2560)(709, 2561)(710, 2572)(711, 2861)(712, 2564)(713, 2569)(714, 2570)(715, 2573)(716, 2865)(717, 2574)(718, 2575)(719, 2868)(720, 2577)(721, 2867)(722, 2872)(723, 2580)(724, 2585)(725, 2728)(726, 2874)(727, 2875)(728, 2586)(729, 2876)(730, 2589)(731, 2879)(732, 2880)(733, 2591)(734, 2882)(735, 2619)(736, 2593)(737, 2594)(738, 2595)(739, 2883)(740, 2600)(741, 2598)(742, 2887)(743, 2888)(744, 2889)(745, 2890)(746, 2601)(747, 2712)(748, 2893)(749, 2606)(750, 2607)(751, 2609)(752, 2896)(753, 2897)(754, 2677)(755, 2898)(756, 2612)(757, 2613)(758, 2900)(759, 2615)(760, 2616)(761, 2901)(762, 2618)(763, 2902)(764, 2623)(765, 2905)(766, 2895)(767, 2907)(768, 2626)(769, 2627)(770, 2629)(771, 2630)(772, 2631)(773, 2909)(774, 2877)(775, 2912)(776, 2635)(777, 2908)(778, 2637)(779, 2916)(780, 2885)(781, 2641)(782, 2642)(783, 2643)(784, 2644)(785, 2655)(786, 2919)(787, 2647)(788, 2652)(789, 2653)(790, 2656)(791, 2924)(792, 2925)(793, 2658)(794, 2914)(795, 2659)(796, 2660)(797, 2673)(798, 2726)(799, 2668)(800, 2724)(801, 2910)(802, 2932)(803, 2669)(804, 2670)(805, 2935)(806, 2906)(807, 2676)(808, 2729)(809, 2937)(810, 2679)(811, 2680)(812, 2940)(813, 2939)(814, 2713)(815, 2687)(816, 2710)(817, 2942)(818, 2886)(819, 2719)(820, 2692)(821, 2944)(822, 2697)(823, 2946)(824, 2947)(825, 2698)(826, 2922)(827, 2949)(828, 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4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1780
Graph:: simple bipartite
	v = 1512 e = 2016 f = 462
	degree seq :: [ 2^1008, 4^504 ]

E22.1783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^3, Y3^8, (Y3^-1 * Y1^-1)^8, (Y3 * Y2 * Y3^-2 * Y2 * Y3)^3, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^4 * Y2 * Y3^-3 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 1009)(2, 1010)(3, 1011)(4, 1012)(5, 1013)(6, 1014)(7, 1015)(8, 1016)(9, 1017)(10, 1018)(11, 1019)(12, 1020)(13, 1021)(14, 1022)(15, 1023)(16, 1024)(17, 1025)(18, 1026)(19, 1027)(20, 1028)(21, 1029)(22, 1030)(23, 1031)(24, 1032)(25, 1033)(26, 1034)(27, 1035)(28, 1036)(29, 1037)(30, 1038)(31, 1039)(32, 1040)(33, 1041)(34, 1042)(35, 1043)(36, 1044)(37, 1045)(38, 1046)(39, 1047)(40, 1048)(41, 1049)(42, 1050)(43, 1051)(44, 1052)(45, 1053)(46, 1054)(47, 1055)(48, 1056)(49, 1057)(50, 1058)(51, 1059)(52, 1060)(53, 1061)(54, 1062)(55, 1063)(56, 1064)(57, 1065)(58, 1066)(59, 1067)(60, 1068)(61, 1069)(62, 1070)(63, 1071)(64, 1072)(65, 1073)(66, 1074)(67, 1075)(68, 1076)(69, 1077)(70, 1078)(71, 1079)(72, 1080)(73, 1081)(74, 1082)(75, 1083)(76, 1084)(77, 1085)(78, 1086)(79, 1087)(80, 1088)(81, 1089)(82, 1090)(83, 1091)(84, 1092)(85, 1093)(86, 1094)(87, 1095)(88, 1096)(89, 1097)(90, 1098)(91, 1099)(92, 1100)(93, 1101)(94, 1102)(95, 1103)(96, 1104)(97, 1105)(98, 1106)(99, 1107)(100, 1108)(101, 1109)(102, 1110)(103, 1111)(104, 1112)(105, 1113)(106, 1114)(107, 1115)(108, 1116)(109, 1117)(110, 1118)(111, 1119)(112, 1120)(113, 1121)(114, 1122)(115, 1123)(116, 1124)(117, 1125)(118, 1126)(119, 1127)(120, 1128)(121, 1129)(122, 1130)(123, 1131)(124, 1132)(125, 1133)(126, 1134)(127, 1135)(128, 1136)(129, 1137)(130, 1138)(131, 1139)(132, 1140)(133, 1141)(134, 1142)(135, 1143)(136, 1144)(137, 1145)(138, 1146)(139, 1147)(140, 1148)(141, 1149)(142, 1150)(143, 1151)(144, 1152)(145, 1153)(146, 1154)(147, 1155)(148, 1156)(149, 1157)(150, 1158)(151, 1159)(152, 1160)(153, 1161)(154, 1162)(155, 1163)(156, 1164)(157, 1165)(158, 1166)(159, 1167)(160, 1168)(161, 1169)(162, 1170)(163, 1171)(164, 1172)(165, 1173)(166, 1174)(167, 1175)(168, 1176)(169, 1177)(170, 1178)(171, 1179)(172, 1180)(173, 1181)(174, 1182)(175, 1183)(176, 1184)(177, 1185)(178, 1186)(179, 1187)(180, 1188)(181, 1189)(182, 1190)(183, 1191)(184, 1192)(185, 1193)(186, 1194)(187, 1195)(188, 1196)(189, 1197)(190, 1198)(191, 1199)(192, 1200)(193, 1201)(194, 1202)(195, 1203)(196, 1204)(197, 1205)(198, 1206)(199, 1207)(200, 1208)(201, 1209)(202, 1210)(203, 1211)(204, 1212)(205, 1213)(206, 1214)(207, 1215)(208, 1216)(209, 1217)(210, 1218)(211, 1219)(212, 1220)(213, 1221)(214, 1222)(215, 1223)(216, 1224)(217, 1225)(218, 1226)(219, 1227)(220, 1228)(221, 1229)(222, 1230)(223, 1231)(224, 1232)(225, 1233)(226, 1234)(227, 1235)(228, 1236)(229, 1237)(230, 1238)(231, 1239)(232, 1240)(233, 1241)(234, 1242)(235, 1243)(236, 1244)(237, 1245)(238, 1246)(239, 1247)(240, 1248)(241, 1249)(242, 1250)(243, 1251)(244, 1252)(245, 1253)(246, 1254)(247, 1255)(248, 1256)(249, 1257)(250, 1258)(251, 1259)(252, 1260)(253, 1261)(254, 1262)(255, 1263)(256, 1264)(257, 1265)(258, 1266)(259, 1267)(260, 1268)(261, 1269)(262, 1270)(263, 1271)(264, 1272)(265, 1273)(266, 1274)(267, 1275)(268, 1276)(269, 1277)(270, 1278)(271, 1279)(272, 1280)(273, 1281)(274, 1282)(275, 1283)(276, 1284)(277, 1285)(278, 1286)(279, 1287)(280, 1288)(281, 1289)(282, 1290)(283, 1291)(284, 1292)(285, 1293)(286, 1294)(287, 1295)(288, 1296)(289, 1297)(290, 1298)(291, 1299)(292, 1300)(293, 1301)(294, 1302)(295, 1303)(296, 1304)(297, 1305)(298, 1306)(299, 1307)(300, 1308)(301, 1309)(302, 1310)(303, 1311)(304, 1312)(305, 1313)(306, 1314)(307, 1315)(308, 1316)(309, 1317)(310, 1318)(311, 1319)(312, 1320)(313, 1321)(314, 1322)(315, 1323)(316, 1324)(317, 1325)(318, 1326)(319, 1327)(320, 1328)(321, 1329)(322, 1330)(323, 1331)(324, 1332)(325, 1333)(326, 1334)(327, 1335)(328, 1336)(329, 1337)(330, 1338)(331, 1339)(332, 1340)(333, 1341)(334, 1342)(335, 1343)(336, 1344)(337, 1345)(338, 1346)(339, 1347)(340, 1348)(341, 1349)(342, 1350)(343, 1351)(344, 1352)(345, 1353)(346, 1354)(347, 1355)(348, 1356)(349, 1357)(350, 1358)(351, 1359)(352, 1360)(353, 1361)(354, 1362)(355, 1363)(356, 1364)(357, 1365)(358, 1366)(359, 1367)(360, 1368)(361, 1369)(362, 1370)(363, 1371)(364, 1372)(365, 1373)(366, 1374)(367, 1375)(368, 1376)(369, 1377)(370, 1378)(371, 1379)(372, 1380)(373, 1381)(374, 1382)(375, 1383)(376, 1384)(377, 1385)(378, 1386)(379, 1387)(380, 1388)(381, 1389)(382, 1390)(383, 1391)(384, 1392)(385, 1393)(386, 1394)(387, 1395)(388, 1396)(389, 1397)(390, 1398)(391, 1399)(392, 1400)(393, 1401)(394, 1402)(395, 1403)(396, 1404)(397, 1405)(398, 1406)(399, 1407)(400, 1408)(401, 1409)(402, 1410)(403, 1411)(404, 1412)(405, 1413)(406, 1414)(407, 1415)(408, 1416)(409, 1417)(410, 1418)(411, 1419)(412, 1420)(413, 1421)(414, 1422)(415, 1423)(416, 1424)(417, 1425)(418, 1426)(419, 1427)(420, 1428)(421, 1429)(422, 1430)(423, 1431)(424, 1432)(425, 1433)(426, 1434)(427, 1435)(428, 1436)(429, 1437)(430, 1438)(431, 1439)(432, 1440)(433, 1441)(434, 1442)(435, 1443)(436, 1444)(437, 1445)(438, 1446)(439, 1447)(440, 1448)(441, 1449)(442, 1450)(443, 1451)(444, 1452)(445, 1453)(446, 1454)(447, 1455)(448, 1456)(449, 1457)(450, 1458)(451, 1459)(452, 1460)(453, 1461)(454, 1462)(455, 1463)(456, 1464)(457, 1465)(458, 1466)(459, 1467)(460, 1468)(461, 1469)(462, 1470)(463, 1471)(464, 1472)(465, 1473)(466, 1474)(467, 1475)(468, 1476)(469, 1477)(470, 1478)(471, 1479)(472, 1480)(473, 1481)(474, 1482)(475, 1483)(476, 1484)(477, 1485)(478, 1486)(479, 1487)(480, 1488)(481, 1489)(482, 1490)(483, 1491)(484, 1492)(485, 1493)(486, 1494)(487, 1495)(488, 1496)(489, 1497)(490, 1498)(491, 1499)(492, 1500)(493, 1501)(494, 1502)(495, 1503)(496, 1504)(497, 1505)(498, 1506)(499, 1507)(500, 1508)(501, 1509)(502, 1510)(503, 1511)(504, 1512)(505, 1513)(506, 1514)(507, 1515)(508, 1516)(509, 1517)(510, 1518)(511, 1519)(512, 1520)(513, 1521)(514, 1522)(515, 1523)(516, 1524)(517, 1525)(518, 1526)(519, 1527)(520, 1528)(521, 1529)(522, 1530)(523, 1531)(524, 1532)(525, 1533)(526, 1534)(527, 1535)(528, 1536)(529, 1537)(530, 1538)(531, 1539)(532, 1540)(533, 1541)(534, 1542)(535, 1543)(536, 1544)(537, 1545)(538, 1546)(539, 1547)(540, 1548)(541, 1549)(542, 1550)(543, 1551)(544, 1552)(545, 1553)(546, 1554)(547, 1555)(548, 1556)(549, 1557)(550, 1558)(551, 1559)(552, 1560)(553, 1561)(554, 1562)(555, 1563)(556, 1564)(557, 1565)(558, 1566)(559, 1567)(560, 1568)(561, 1569)(562, 1570)(563, 1571)(564, 1572)(565, 1573)(566, 1574)(567, 1575)(568, 1576)(569, 1577)(570, 1578)(571, 1579)(572, 1580)(573, 1581)(574, 1582)(575, 1583)(576, 1584)(577, 1585)(578, 1586)(579, 1587)(580, 1588)(581, 1589)(582, 1590)(583, 1591)(584, 1592)(585, 1593)(586, 1594)(587, 1595)(588, 1596)(589, 1597)(590, 1598)(591, 1599)(592, 1600)(593, 1601)(594, 1602)(595, 1603)(596, 1604)(597, 1605)(598, 1606)(599, 1607)(600, 1608)(601, 1609)(602, 1610)(603, 1611)(604, 1612)(605, 1613)(606, 1614)(607, 1615)(608, 1616)(609, 1617)(610, 1618)(611, 1619)(612, 1620)(613, 1621)(614, 1622)(615, 1623)(616, 1624)(617, 1625)(618, 1626)(619, 1627)(620, 1628)(621, 1629)(622, 1630)(623, 1631)(624, 1632)(625, 1633)(626, 1634)(627, 1635)(628, 1636)(629, 1637)(630, 1638)(631, 1639)(632, 1640)(633, 1641)(634, 1642)(635, 1643)(636, 1644)(637, 1645)(638, 1646)(639, 1647)(640, 1648)(641, 1649)(642, 1650)(643, 1651)(644, 1652)(645, 1653)(646, 1654)(647, 1655)(648, 1656)(649, 1657)(650, 1658)(651, 1659)(652, 1660)(653, 1661)(654, 1662)(655, 1663)(656, 1664)(657, 1665)(658, 1666)(659, 1667)(660, 1668)(661, 1669)(662, 1670)(663, 1671)(664, 1672)(665, 1673)(666, 1674)(667, 1675)(668, 1676)(669, 1677)(670, 1678)(671, 1679)(672, 1680)(673, 1681)(674, 1682)(675, 1683)(676, 1684)(677, 1685)(678, 1686)(679, 1687)(680, 1688)(681, 1689)(682, 1690)(683, 1691)(684, 1692)(685, 1693)(686, 1694)(687, 1695)(688, 1696)(689, 1697)(690, 1698)(691, 1699)(692, 1700)(693, 1701)(694, 1702)(695, 1703)(696, 1704)(697, 1705)(698, 1706)(699, 1707)(700, 1708)(701, 1709)(702, 1710)(703, 1711)(704, 1712)(705, 1713)(706, 1714)(707, 1715)(708, 1716)(709, 1717)(710, 1718)(711, 1719)(712, 1720)(713, 1721)(714, 1722)(715, 1723)(716, 1724)(717, 1725)(718, 1726)(719, 1727)(720, 1728)(721, 1729)(722, 1730)(723, 1731)(724, 1732)(725, 1733)(726, 1734)(727, 1735)(728, 1736)(729, 1737)(730, 1738)(731, 1739)(732, 1740)(733, 1741)(734, 1742)(735, 1743)(736, 1744)(737, 1745)(738, 1746)(739, 1747)(740, 1748)(741, 1749)(742, 1750)(743, 1751)(744, 1752)(745, 1753)(746, 1754)(747, 1755)(748, 1756)(749, 1757)(750, 1758)(751, 1759)(752, 1760)(753, 1761)(754, 1762)(755, 1763)(756, 1764)(757, 1765)(758, 1766)(759, 1767)(760, 1768)(761, 1769)(762, 1770)(763, 1771)(764, 1772)(765, 1773)(766, 1774)(767, 1775)(768, 1776)(769, 1777)(770, 1778)(771, 1779)(772, 1780)(773, 1781)(774, 1782)(775, 1783)(776, 1784)(777, 1785)(778, 1786)(779, 1787)(780, 1788)(781, 1789)(782, 1790)(783, 1791)(784, 1792)(785, 1793)(786, 1794)(787, 1795)(788, 1796)(789, 1797)(790, 1798)(791, 1799)(792, 1800)(793, 1801)(794, 1802)(795, 1803)(796, 1804)(797, 1805)(798, 1806)(799, 1807)(800, 1808)(801, 1809)(802, 1810)(803, 1811)(804, 1812)(805, 1813)(806, 1814)(807, 1815)(808, 1816)(809, 1817)(810, 1818)(811, 1819)(812, 1820)(813, 1821)(814, 1822)(815, 1823)(816, 1824)(817, 1825)(818, 1826)(819, 1827)(820, 1828)(821, 1829)(822, 1830)(823, 1831)(824, 1832)(825, 1833)(826, 1834)(827, 1835)(828, 1836)(829, 1837)(830, 1838)(831, 1839)(832, 1840)(833, 1841)(834, 1842)(835, 1843)(836, 1844)(837, 1845)(838, 1846)(839, 1847)(840, 1848)(841, 1849)(842, 1850)(843, 1851)(844, 1852)(845, 1853)(846, 1854)(847, 1855)(848, 1856)(849, 1857)(850, 1858)(851, 1859)(852, 1860)(853, 1861)(854, 1862)(855, 1863)(856, 1864)(857, 1865)(858, 1866)(859, 1867)(860, 1868)(861, 1869)(862, 1870)(863, 1871)(864, 1872)(865, 1873)(866, 1874)(867, 1875)(868, 1876)(869, 1877)(870, 1878)(871, 1879)(872, 1880)(873, 1881)(874, 1882)(875, 1883)(876, 1884)(877, 1885)(878, 1886)(879, 1887)(880, 1888)(881, 1889)(882, 1890)(883, 1891)(884, 1892)(885, 1893)(886, 1894)(887, 1895)(888, 1896)(889, 1897)(890, 1898)(891, 1899)(892, 1900)(893, 1901)(894, 1902)(895, 1903)(896, 1904)(897, 1905)(898, 1906)(899, 1907)(900, 1908)(901, 1909)(902, 1910)(903, 1911)(904, 1912)(905, 1913)(906, 1914)(907, 1915)(908, 1916)(909, 1917)(910, 1918)(911, 1919)(912, 1920)(913, 1921)(914, 1922)(915, 1923)(916, 1924)(917, 1925)(918, 1926)(919, 1927)(920, 1928)(921, 1929)(922, 1930)(923, 1931)(924, 1932)(925, 1933)(926, 1934)(927, 1935)(928, 1936)(929, 1937)(930, 1938)(931, 1939)(932, 1940)(933, 1941)(934, 1942)(935, 1943)(936, 1944)(937, 1945)(938, 1946)(939, 1947)(940, 1948)(941, 1949)(942, 1950)(943, 1951)(944, 1952)(945, 1953)(946, 1954)(947, 1955)(948, 1956)(949, 1957)(950, 1958)(951, 1959)(952, 1960)(953, 1961)(954, 1962)(955, 1963)(956, 1964)(957, 1965)(958, 1966)(959, 1967)(960, 1968)(961, 1969)(962, 1970)(963, 1971)(964, 1972)(965, 1973)(966, 1974)(967, 1975)(968, 1976)(969, 1977)(970, 1978)(971, 1979)(972, 1980)(973, 1981)(974, 1982)(975, 1983)(976, 1984)(977, 1985)(978, 1986)(979, 1987)(980, 1988)(981, 1989)(982, 1990)(983, 1991)(984, 1992)(985, 1993)(986, 1994)(987, 1995)(988, 1996)(989, 1997)(990, 1998)(991, 1999)(992, 2000)(993, 2001)(994, 2002)(995, 2003)(996, 2004)(997, 2005)(998, 2006)(999, 2007)(1000, 2008)(1001, 2009)(1002, 2010)(1003, 2011)(1004, 2012)(1005, 2013)(1006, 2014)(1007, 2015)(1008, 2016)(2017, 3025, 2018, 3026)(2019, 3027, 2023, 3031)(2020, 3028, 2025, 3033)(2021, 3029, 2027, 3035)(2022, 3030, 2029, 3037)(2024, 3032, 2032, 3040)(2026, 3034, 2035, 3043)(2028, 3036, 2038, 3046)(2030, 3038, 2041, 3049)(2031, 3039, 2043, 3051)(2033, 3041, 2046, 3054)(2034, 3042, 2048, 3056)(2036, 3044, 2051, 3059)(2037, 3045, 2052, 3060)(2039, 3047, 2055, 3063)(2040, 3048, 2057, 3065)(2042, 3050, 2060, 3068)(2044, 3052, 2062, 3070)(2045, 3053, 2064, 3072)(2047, 3055, 2067, 3075)(2049, 3057, 2069, 3077)(2050, 3058, 2071, 3079)(2053, 3061, 2075, 3083)(2054, 3062, 2077, 3085)(2056, 3064, 2080, 3088)(2058, 3066, 2082, 3090)(2059, 3067, 2084, 3092)(2061, 3069, 2087, 3095)(2063, 3071, 2090, 3098)(2065, 3073, 2092, 3100)(2066, 3074, 2094, 3102)(2068, 3076, 2097, 3105)(2070, 3078, 2100, 3108)(2072, 3080, 2102, 3110)(2073, 3081, 2096, 3104)(2074, 3082, 2105, 3113)(2076, 3084, 2108, 3116)(2078, 3086, 2110, 3118)(2079, 3087, 2112, 3120)(2081, 3089, 2115, 3123)(2083, 3091, 2118, 3126)(2085, 3093, 2120, 3128)(2086, 3094, 2114, 3122)(2088, 3096, 2124, 3132)(2089, 3097, 2126, 3134)(2091, 3099, 2129, 3137)(2093, 3101, 2132, 3140)(2095, 3103, 2134, 3142)(2098, 3106, 2138, 3146)(2099, 3107, 2140, 3148)(2101, 3109, 2143, 3151)(2103, 3111, 2146, 3154)(2104, 3112, 2147, 3155)(2106, 3114, 2150, 3158)(2107, 3115, 2152, 3160)(2109, 3117, 2155, 3163)(2111, 3119, 2158, 3166)(2113, 3121, 2160, 3168)(2116, 3124, 2164, 3172)(2117, 3125, 2166, 3174)(2119, 3127, 2169, 3177)(2121, 3129, 2172, 3180)(2122, 3130, 2173, 3181)(2123, 3131, 2175, 3183)(2125, 3133, 2178, 3186)(2127, 3135, 2180, 3188)(2128, 3136, 2168, 3176)(2130, 3138, 2184, 3192)(2131, 3139, 2186, 3194)(2133, 3141, 2189, 3197)(2135, 3143, 2192, 3200)(2136, 3144, 2193, 3201)(2137, 3145, 2195, 3203)(2139, 3147, 2198, 3206)(2141, 3149, 2200, 3208)(2142, 3150, 2154, 3162)(2144, 3152, 2204, 3212)(2145, 3153, 2206, 3214)(2148, 3156, 2210, 3218)(2149, 3157, 2211, 3219)(2151, 3159, 2214, 3222)(2153, 3161, 2216, 3224)(2156, 3164, 2220, 3228)(2157, 3165, 2222, 3230)(2159, 3167, 2225, 3233)(2161, 3169, 2228, 3236)(2162, 3170, 2229, 3237)(2163, 3171, 2231, 3239)(2165, 3173, 2234, 3242)(2167, 3175, 2236, 3244)(2170, 3178, 2240, 3248)(2171, 3179, 2242, 3250)(2174, 3182, 2246, 3254)(2176, 3184, 2248, 3256)(2177, 3185, 2250, 3258)(2179, 3187, 2253, 3261)(2181, 3189, 2256, 3264)(2182, 3190, 2257, 3265)(2183, 3191, 2259, 3267)(2185, 3193, 2262, 3270)(2187, 3195, 2223, 3231)(2188, 3196, 2252, 3260)(2190, 3198, 2267, 3275)(2191, 3199, 2269, 3277)(2194, 3202, 2273, 3281)(2196, 3204, 2275, 3283)(2197, 3205, 2277, 3285)(2199, 3207, 2280, 3288)(2201, 3209, 2282, 3290)(2202, 3210, 2283, 3291)(2203, 3211, 2285, 3293)(2205, 3213, 2288, 3296)(2207, 3215, 2243, 3251)(2208, 3216, 2279, 3287)(2209, 3217, 2292, 3300)(2212, 3220, 2296, 3304)(2213, 3221, 2298, 3306)(2215, 3223, 2301, 3309)(2217, 3225, 2304, 3312)(2218, 3226, 2305, 3313)(2219, 3227, 2307, 3315)(2221, 3229, 2310, 3318)(2224, 3232, 2300, 3308)(2226, 3234, 2315, 3323)(2227, 3235, 2317, 3325)(2230, 3238, 2321, 3329)(2232, 3240, 2323, 3331)(2233, 3241, 2325, 3333)(2235, 3243, 2328, 3336)(2237, 3245, 2330, 3338)(2238, 3246, 2331, 3339)(2239, 3247, 2333, 3341)(2241, 3249, 2336, 3344)(2244, 3252, 2327, 3335)(2245, 3253, 2340, 3348)(2247, 3255, 2343, 3351)(2249, 3257, 2346, 3354)(2251, 3259, 2341, 3349)(2254, 3262, 2351, 3359)(2255, 3263, 2353, 3361)(2258, 3266, 2356, 3364)(2260, 3268, 2358, 3366)(2261, 3269, 2360, 3368)(2263, 3271, 2312, 3320)(2264, 3272, 2311, 3319)(2265, 3273, 2364, 3372)(2266, 3274, 2366, 3374)(2268, 3276, 2369, 3377)(2270, 3278, 2326, 3334)(2271, 3279, 2362, 3370)(2272, 3280, 2373, 3381)(2274, 3282, 2376, 3384)(2276, 3284, 2379, 3387)(2278, 3286, 2318, 3326)(2281, 3289, 2384, 3392)(2284, 3292, 2388, 3396)(2286, 3294, 2390, 3398)(2287, 3295, 2392, 3400)(2289, 3297, 2338, 3346)(2290, 3298, 2337, 3345)(2291, 3299, 2396, 3404)(2293, 3301, 2299, 3307)(2294, 3302, 2394, 3402)(2295, 3303, 2401, 3409)(2297, 3305, 2404, 3412)(2302, 3310, 2409, 3417)(2303, 3311, 2411, 3419)(2306, 3314, 2414, 3422)(2308, 3316, 2416, 3424)(2309, 3317, 2418, 3426)(2313, 3321, 2422, 3430)(2314, 3322, 2424, 3432)(2316, 3324, 2427, 3435)(2319, 3327, 2420, 3428)(2320, 3328, 2431, 3439)(2322, 3330, 2434, 3442)(2324, 3332, 2437, 3445)(2329, 3337, 2442, 3450)(2332, 3340, 2446, 3454)(2334, 3342, 2448, 3456)(2335, 3343, 2450, 3458)(2339, 3347, 2454, 3462)(2342, 3350, 2452, 3460)(2344, 3352, 2460, 3468)(2345, 3353, 2462, 3470)(2347, 3355, 2457, 3465)(2348, 3356, 2456, 3464)(2349, 3357, 2466, 3474)(2350, 3358, 2468, 3476)(2352, 3360, 2471, 3479)(2354, 3362, 2464, 3472)(2355, 3363, 2473, 3481)(2357, 3365, 2476, 3484)(2359, 3367, 2479, 3487)(2361, 3369, 2474, 3482)(2363, 3371, 2483, 3491)(2365, 3373, 2486, 3494)(2367, 3375, 2488, 3496)(2368, 3376, 2490, 3498)(2370, 3378, 2439, 3447)(2371, 3379, 2438, 3446)(2372, 3380, 2494, 3502)(2374, 3382, 2463, 3471)(2375, 3383, 2492, 3500)(2377, 3385, 2500, 3508)(2378, 3386, 2502, 3510)(2380, 3388, 2429, 3437)(2381, 3389, 2428, 3436)(2382, 3390, 2505, 3513)(2383, 3391, 2507, 3515)(2385, 3393, 2509, 3517)(2386, 3394, 2503, 3511)(2387, 3395, 2511, 3519)(2389, 3397, 2514, 3522)(2391, 3399, 2516, 3524)(2393, 3401, 2512, 3520)(2395, 3403, 2520, 3528)(2397, 3405, 2523, 3531)(2398, 3406, 2406, 3414)(2399, 3407, 2405, 3413)(2400, 3408, 2525, 3533)(2402, 3410, 2528, 3536)(2403, 3411, 2530, 3538)(2407, 3415, 2534, 3542)(2408, 3416, 2536, 3544)(2410, 3418, 2539, 3547)(2412, 3420, 2532, 3540)(2413, 3421, 2541, 3549)(2415, 3423, 2544, 3552)(2417, 3425, 2547, 3555)(2419, 3427, 2542, 3550)(2421, 3429, 2551, 3559)(2423, 3431, 2554, 3562)(2425, 3433, 2556, 3564)(2426, 3434, 2558, 3566)(2430, 3438, 2562, 3570)(2432, 3440, 2531, 3539)(2433, 3441, 2560, 3568)(2435, 3443, 2568, 3576)(2436, 3444, 2570, 3578)(2440, 3448, 2573, 3581)(2441, 3449, 2575, 3583)(2443, 3451, 2577, 3585)(2444, 3452, 2571, 3579)(2445, 3453, 2579, 3587)(2447, 3455, 2582, 3590)(2449, 3457, 2584, 3592)(2451, 3459, 2580, 3588)(2453, 3461, 2588, 3596)(2455, 3463, 2591, 3599)(2458, 3466, 2593, 3601)(2459, 3467, 2595, 3603)(2461, 3469, 2598, 3606)(2465, 3473, 2602, 3610)(2467, 3475, 2605, 3613)(2469, 3477, 2607, 3615)(2470, 3478, 2608, 3616)(2472, 3480, 2611, 3619)(2475, 3483, 2610, 3618)(2477, 3485, 2617, 3625)(2478, 3486, 2619, 3627)(2480, 3488, 2614, 3622)(2481, 3489, 2613, 3621)(2482, 3490, 2621, 3629)(2484, 3492, 2624, 3632)(2485, 3493, 2625, 3633)(2487, 3495, 2628, 3636)(2489, 3497, 2630, 3638)(2491, 3499, 2626, 3634)(2493, 3501, 2634, 3642)(2495, 3503, 2637, 3645)(2496, 3504, 2600, 3608)(2497, 3505, 2599, 3607)(2498, 3506, 2639, 3647)(2499, 3507, 2641, 3649)(2501, 3509, 2644, 3652)(2504, 3512, 2646, 3654)(2506, 3514, 2649, 3657)(2508, 3516, 2651, 3659)(2510, 3518, 2654, 3662)(2513, 3521, 2653, 3661)(2515, 3523, 2659, 3667)(2517, 3525, 2656, 3664)(2518, 3526, 2655, 3663)(2519, 3527, 2662, 3670)(2521, 3529, 2665, 3673)(2522, 3530, 2666, 3674)(2524, 3532, 2668, 3676)(2526, 3534, 2670, 3678)(2527, 3535, 2671, 3679)(2529, 3537, 2674, 3682)(2533, 3541, 2678, 3686)(2535, 3543, 2681, 3689)(2537, 3545, 2683, 3691)(2538, 3546, 2684, 3692)(2540, 3548, 2687, 3695)(2543, 3551, 2686, 3694)(2545, 3553, 2693, 3701)(2546, 3554, 2695, 3703)(2548, 3556, 2690, 3698)(2549, 3557, 2689, 3697)(2550, 3558, 2697, 3705)(2552, 3560, 2700, 3708)(2553, 3561, 2701, 3709)(2555, 3563, 2704, 3712)(2557, 3565, 2706, 3714)(2559, 3567, 2702, 3710)(2561, 3569, 2710, 3718)(2563, 3571, 2713, 3721)(2564, 3572, 2676, 3684)(2565, 3573, 2675, 3683)(2566, 3574, 2715, 3723)(2567, 3575, 2717, 3725)(2569, 3577, 2720, 3728)(2572, 3580, 2722, 3730)(2574, 3582, 2725, 3733)(2576, 3584, 2727, 3735)(2578, 3586, 2730, 3738)(2581, 3589, 2729, 3737)(2583, 3591, 2735, 3743)(2585, 3593, 2732, 3740)(2586, 3594, 2731, 3739)(2587, 3595, 2738, 3746)(2589, 3597, 2741, 3749)(2590, 3598, 2742, 3750)(2592, 3600, 2744, 3752)(2594, 3602, 2746, 3754)(2596, 3604, 2692, 3700)(2597, 3605, 2682, 3690)(2601, 3609, 2748, 3756)(2603, 3611, 2751, 3759)(2604, 3612, 2752, 3760)(2606, 3614, 2673, 3681)(2609, 3617, 2753, 3761)(2612, 3620, 2759, 3767)(2615, 3623, 2761, 3769)(2616, 3624, 2672, 3680)(2618, 3626, 2714, 3722)(2620, 3628, 2737, 3745)(2622, 3630, 2766, 3774)(2623, 3631, 2767, 3775)(2627, 3635, 2769, 3777)(2629, 3637, 2736, 3744)(2631, 3639, 2771, 3779)(2632, 3640, 2770, 3778)(2633, 3641, 2775, 3783)(2635, 3643, 2778, 3786)(2636, 3644, 2779, 3787)(2638, 3646, 2694, 3702)(2640, 3648, 2782, 3790)(2642, 3650, 2734, 3742)(2643, 3651, 2726, 3734)(2645, 3653, 2783, 3791)(2647, 3655, 2786, 3794)(2648, 3656, 2787, 3795)(2650, 3658, 2719, 3727)(2652, 3660, 2788, 3796)(2657, 3665, 2794, 3802)(2658, 3666, 2718, 3726)(2660, 3668, 2705, 3713)(2661, 3669, 2696, 3704)(2663, 3671, 2798, 3806)(2664, 3672, 2799, 3807)(2667, 3675, 2800, 3808)(2669, 3677, 2802, 3810)(2677, 3685, 2805, 3813)(2679, 3687, 2808, 3816)(2680, 3688, 2809, 3817)(2685, 3693, 2810, 3818)(2688, 3696, 2816, 3824)(2691, 3699, 2818, 3826)(2698, 3706, 2823, 3831)(2699, 3707, 2824, 3832)(2703, 3711, 2826, 3834)(2707, 3715, 2828, 3836)(2708, 3716, 2827, 3835)(2709, 3717, 2832, 3840)(2711, 3719, 2835, 3843)(2712, 3720, 2836, 3844)(2716, 3724, 2839, 3847)(2721, 3729, 2840, 3848)(2723, 3731, 2843, 3851)(2724, 3732, 2844, 3852)(2728, 3736, 2845, 3853)(2733, 3741, 2851, 3859)(2739, 3747, 2855, 3863)(2740, 3748, 2856, 3864)(2743, 3751, 2857, 3865)(2745, 3753, 2859, 3867)(2747, 3755, 2820, 3828)(2749, 3757, 2862, 3870)(2750, 3758, 2863, 3871)(2754, 3762, 2864, 3872)(2755, 3763, 2866, 3874)(2756, 3764, 2865, 3873)(2757, 3765, 2869, 3877)(2758, 3766, 2871, 3879)(2760, 3768, 2838, 3846)(2762, 3770, 2874, 3882)(2763, 3771, 2804, 3812)(2764, 3772, 2875, 3883)(2765, 3773, 2876, 3884)(2768, 3776, 2877, 3885)(2772, 3780, 2882, 3890)(2773, 3781, 2850, 3858)(2774, 3782, 2868, 3876)(2776, 3784, 2886, 3894)(2777, 3785, 2887, 3895)(2780, 3788, 2888, 3896)(2781, 3789, 2817, 3825)(2784, 3792, 2892, 3900)(2785, 3793, 2893, 3901)(2789, 3797, 2894, 3902)(2790, 3798, 2885, 3893)(2791, 3799, 2896, 3904)(2792, 3800, 2872, 3880)(2793, 3801, 2830, 3838)(2795, 3803, 2899, 3907)(2796, 3804, 2900, 3908)(2797, 3805, 2879, 3887)(2801, 3809, 2903, 3911)(2803, 3811, 2905, 3913)(2806, 3814, 2908, 3916)(2807, 3815, 2909, 3917)(2811, 3819, 2910, 3918)(2812, 3820, 2912, 3920)(2813, 3821, 2911, 3919)(2814, 3822, 2915, 3923)(2815, 3823, 2917, 3925)(2819, 3827, 2920, 3928)(2821, 3829, 2921, 3929)(2822, 3830, 2922, 3930)(2825, 3833, 2923, 3931)(2829, 3837, 2928, 3936)(2831, 3839, 2914, 3922)(2833, 3841, 2932, 3940)(2834, 3842, 2933, 3941)(2837, 3845, 2934, 3942)(2841, 3849, 2938, 3946)(2842, 3850, 2939, 3947)(2846, 3854, 2940, 3948)(2847, 3855, 2931, 3939)(2848, 3856, 2942, 3950)(2849, 3857, 2918, 3926)(2852, 3860, 2945, 3953)(2853, 3861, 2946, 3954)(2854, 3862, 2925, 3933)(2858, 3866, 2949, 3957)(2860, 3868, 2951, 3959)(2861, 3869, 2907, 3915)(2867, 3875, 2926, 3934)(2870, 3878, 2958, 3966)(2873, 3881, 2936, 3944)(2878, 3886, 2960, 3968)(2880, 3888, 2913, 3921)(2881, 3889, 2944, 3952)(2883, 3891, 2952, 3960)(2884, 3892, 2964, 3972)(2889, 3897, 2950, 3958)(2890, 3898, 2919, 3927)(2891, 3899, 2937, 3945)(2895, 3903, 2948, 3956)(2897, 3905, 2970, 3978)(2898, 3906, 2927, 3935)(2901, 3909, 2972, 3980)(2902, 3910, 2941, 3949)(2904, 3912, 2935, 3943)(2906, 3914, 2929, 3937)(2916, 3924, 2978, 3986)(2924, 3932, 2980, 3988)(2930, 3938, 2984, 3992)(2943, 3951, 2990, 3998)(2947, 3955, 2992, 4000)(2953, 3961, 2974, 3982)(2954, 3962, 2973, 3981)(2955, 3963, 2982, 3990)(2956, 3964, 2994, 4002)(2957, 3965, 2988, 3996)(2959, 3967, 2987, 3995)(2961, 3969, 2989, 3997)(2962, 3970, 2975, 3983)(2963, 3971, 2991, 3999)(2965, 3973, 2998, 4006)(2966, 3974, 2996, 4004)(2967, 3975, 2979, 3987)(2968, 3976, 2977, 3985)(2969, 3977, 2981, 3989)(2971, 3979, 2983, 3991)(2976, 3984, 3003, 4011)(2985, 3993, 3007, 4015)(2986, 3994, 3005, 4013)(2993, 4001, 3010, 4018)(2995, 4003, 3011, 4019)(2997, 4005, 3008, 4016)(2999, 4007, 3006, 4014)(3000, 4008, 3013, 4021)(3001, 4009, 3002, 4010)(3004, 4012, 3015, 4023)(3009, 4017, 3017, 4025)(3012, 4020, 3019, 4027)(3014, 4022, 3020, 4028)(3016, 4024, 3021, 4029)(3018, 4026, 3022, 4030)(3023, 4031, 3024, 4032)
	L = (1, 2019)(2, 2021)(3, 2024)(4, 2017)(5, 2028)(6, 2018)(7, 2029)(8, 2033)(9, 2034)(10, 2020)(11, 2025)(12, 2039)(13, 2040)(14, 2022)(15, 2023)(16, 2043)(17, 2047)(18, 2049)(19, 2050)(20, 2026)(21, 2027)(22, 2052)(23, 2056)(24, 2058)(25, 2059)(26, 2030)(27, 2061)(28, 2031)(29, 2032)(30, 2064)(31, 2036)(32, 2035)(33, 2070)(34, 2072)(35, 2073)(36, 2074)(37, 2037)(38, 2038)(39, 2077)(40, 2042)(41, 2041)(42, 2083)(43, 2085)(44, 2086)(45, 2088)(46, 2089)(47, 2044)(48, 2091)(49, 2045)(50, 2046)(51, 2094)(52, 2048)(53, 2097)(54, 2076)(55, 2051)(56, 2103)(57, 2104)(58, 2106)(59, 2107)(60, 2053)(61, 2109)(62, 2054)(63, 2055)(64, 2112)(65, 2057)(66, 2115)(67, 2063)(68, 2060)(69, 2121)(70, 2122)(71, 2062)(72, 2125)(73, 2127)(74, 2128)(75, 2130)(76, 2131)(77, 2065)(78, 2133)(79, 2066)(80, 2067)(81, 2137)(82, 2068)(83, 2069)(84, 2140)(85, 2071)(86, 2143)(87, 2139)(88, 2148)(89, 2075)(90, 2151)(91, 2153)(92, 2154)(93, 2156)(94, 2157)(95, 2078)(96, 2159)(97, 2079)(98, 2080)(99, 2163)(100, 2081)(101, 2082)(102, 2166)(103, 2084)(104, 2169)(105, 2165)(106, 2174)(107, 2087)(108, 2175)(109, 2093)(110, 2090)(111, 2181)(112, 2182)(113, 2092)(114, 2185)(115, 2187)(116, 2188)(117, 2190)(118, 2191)(119, 2095)(120, 2096)(121, 2196)(122, 2197)(123, 2098)(124, 2199)(125, 2099)(126, 2100)(127, 2203)(128, 2101)(129, 2102)(130, 2206)(131, 2193)(132, 2205)(133, 2105)(134, 2211)(135, 2111)(136, 2108)(137, 2217)(138, 2218)(139, 2110)(140, 2221)(141, 2223)(142, 2224)(143, 2226)(144, 2227)(145, 2113)(146, 2114)(147, 2232)(148, 2233)(149, 2116)(150, 2235)(151, 2117)(152, 2118)(153, 2239)(154, 2119)(155, 2120)(156, 2242)(157, 2229)(158, 2241)(159, 2247)(160, 2123)(161, 2124)(162, 2250)(163, 2126)(164, 2253)(165, 2249)(166, 2258)(167, 2129)(168, 2259)(169, 2135)(170, 2132)(171, 2264)(172, 2265)(173, 2134)(174, 2268)(175, 2270)(176, 2271)(177, 2272)(178, 2136)(179, 2138)(180, 2276)(181, 2278)(182, 2279)(183, 2281)(184, 2255)(185, 2141)(186, 2142)(187, 2286)(188, 2287)(189, 2144)(190, 2289)(191, 2145)(192, 2146)(193, 2147)(194, 2292)(195, 2295)(196, 2149)(197, 2150)(198, 2298)(199, 2152)(200, 2301)(201, 2297)(202, 2306)(203, 2155)(204, 2307)(205, 2161)(206, 2158)(207, 2312)(208, 2313)(209, 2160)(210, 2316)(211, 2318)(212, 2319)(213, 2320)(214, 2162)(215, 2164)(216, 2324)(217, 2326)(218, 2327)(219, 2329)(220, 2303)(221, 2167)(222, 2168)(223, 2334)(224, 2335)(225, 2170)(226, 2337)(227, 2171)(228, 2172)(229, 2173)(230, 2340)(231, 2344)(232, 2345)(233, 2176)(234, 2347)(235, 2177)(236, 2178)(237, 2350)(238, 2179)(239, 2180)(240, 2353)(241, 2331)(242, 2352)(243, 2357)(244, 2183)(245, 2184)(246, 2360)(247, 2186)(248, 2359)(249, 2365)(250, 2189)(251, 2366)(252, 2194)(253, 2192)(254, 2371)(255, 2372)(256, 2374)(257, 2375)(258, 2195)(259, 2376)(260, 2201)(261, 2198)(262, 2381)(263, 2382)(264, 2200)(265, 2385)(266, 2386)(267, 2387)(268, 2202)(269, 2204)(270, 2391)(271, 2393)(272, 2394)(273, 2395)(274, 2207)(275, 2208)(276, 2398)(277, 2209)(278, 2210)(279, 2402)(280, 2403)(281, 2212)(282, 2405)(283, 2213)(284, 2214)(285, 2408)(286, 2215)(287, 2216)(288, 2411)(289, 2283)(290, 2410)(291, 2415)(292, 2219)(293, 2220)(294, 2418)(295, 2222)(296, 2417)(297, 2423)(298, 2225)(299, 2424)(300, 2230)(301, 2228)(302, 2429)(303, 2430)(304, 2432)(305, 2433)(306, 2231)(307, 2434)(308, 2237)(309, 2234)(310, 2439)(311, 2440)(312, 2236)(313, 2443)(314, 2444)(315, 2445)(316, 2238)(317, 2240)(318, 2449)(319, 2451)(320, 2452)(321, 2453)(322, 2243)(323, 2244)(324, 2456)(325, 2245)(326, 2246)(327, 2248)(328, 2461)(329, 2463)(330, 2464)(331, 2465)(332, 2251)(333, 2252)(334, 2469)(335, 2470)(336, 2254)(337, 2282)(338, 2256)(339, 2257)(340, 2473)(341, 2477)(342, 2478)(343, 2260)(344, 2480)(345, 2261)(346, 2262)(347, 2263)(348, 2466)(349, 2484)(350, 2487)(351, 2266)(352, 2267)(353, 2490)(354, 2269)(355, 2489)(356, 2495)(357, 2273)(358, 2497)(359, 2498)(360, 2499)(361, 2274)(362, 2275)(363, 2502)(364, 2277)(365, 2501)(366, 2506)(367, 2280)(368, 2507)(369, 2284)(370, 2510)(371, 2512)(372, 2513)(373, 2285)(374, 2514)(375, 2290)(376, 2288)(377, 2518)(378, 2519)(379, 2521)(380, 2522)(381, 2291)(382, 2524)(383, 2293)(384, 2294)(385, 2296)(386, 2529)(387, 2531)(388, 2532)(389, 2533)(390, 2299)(391, 2300)(392, 2537)(393, 2538)(394, 2302)(395, 2330)(396, 2304)(397, 2305)(398, 2541)(399, 2545)(400, 2546)(401, 2308)(402, 2548)(403, 2309)(404, 2310)(405, 2311)(406, 2534)(407, 2552)(408, 2555)(409, 2314)(410, 2315)(411, 2558)(412, 2317)(413, 2557)(414, 2563)(415, 2321)(416, 2565)(417, 2566)(418, 2567)(419, 2322)(420, 2323)(421, 2570)(422, 2325)(423, 2569)(424, 2574)(425, 2328)(426, 2575)(427, 2332)(428, 2578)(429, 2580)(430, 2581)(431, 2333)(432, 2582)(433, 2338)(434, 2336)(435, 2586)(436, 2587)(437, 2589)(438, 2590)(439, 2339)(440, 2592)(441, 2341)(442, 2342)(443, 2343)(444, 2595)(445, 2348)(446, 2346)(447, 2600)(448, 2601)(449, 2603)(450, 2604)(451, 2349)(452, 2351)(453, 2383)(454, 2609)(455, 2610)(456, 2354)(457, 2613)(458, 2355)(459, 2356)(460, 2358)(461, 2618)(462, 2390)(463, 2551)(464, 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3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1781
Graph:: simple bipartite
	v = 1512 e = 2016 f = 462
	degree seq :: [ 2^1008, 4^504 ]

E22.1784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -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^-1 * Y3)^3, Y1^8, (Y3 * Y1^-2 * Y3 * Y1^-1)^2, (Y3 * Y1^2 * Y3 * Y1^-2)^3, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-4 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-4 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 1009, 2, 1010, 5, 1013, 11, 1019, 21, 1029, 20, 1028, 10, 1018, 4, 1012)(3, 1011, 7, 1015, 15, 1023, 27, 1035, 45, 1053, 31, 1039, 17, 1025, 8, 1016)(6, 1014, 13, 1021, 25, 1033, 41, 1049, 66, 1074, 44, 1052, 26, 1034, 14, 1022)(9, 1017, 18, 1026, 32, 1040, 52, 1060, 77, 1085, 49, 1057, 29, 1037, 16, 1024)(12, 1020, 23, 1031, 39, 1047, 62, 1070, 95, 1103, 65, 1073, 40, 1048, 24, 1032)(19, 1027, 34, 1042, 55, 1063, 85, 1093, 126, 1134, 84, 1092, 54, 1062, 33, 1041)(22, 1030, 37, 1045, 60, 1068, 91, 1099, 137, 1145, 94, 1102, 61, 1069, 38, 1046)(28, 1036, 47, 1055, 74, 1082, 111, 1119, 165, 1173, 114, 1122, 75, 1083, 48, 1056)(30, 1038, 50, 1058, 78, 1086, 117, 1125, 154, 1162, 103, 1111, 68, 1076, 42, 1050)(35, 1043, 57, 1065, 88, 1096, 131, 1139, 192, 1200, 130, 1138, 87, 1095, 56, 1064)(36, 1044, 58, 1066, 89, 1097, 133, 1141, 195, 1203, 136, 1144, 90, 1098, 59, 1067)(43, 1051, 69, 1077, 104, 1112, 155, 1163, 212, 1220, 145, 1153, 97, 1105, 63, 1071)(46, 1054, 72, 1080, 109, 1117, 161, 1169, 235, 1243, 164, 1172, 110, 1118, 73, 1081)(51, 1059, 80, 1088, 120, 1128, 177, 1185, 255, 1263, 176, 1184, 119, 1127, 79, 1087)(53, 1061, 82, 1090, 123, 1131, 181, 1189, 262, 1270, 184, 1192, 124, 1132, 83, 1091)(64, 1072, 98, 1106, 146, 1154, 213, 1221, 291, 1299, 203, 1211, 139, 1147, 92, 1100)(67, 1075, 101, 1109, 151, 1159, 219, 1227, 313, 1321, 222, 1230, 152, 1160, 102, 1110)(70, 1078, 106, 1114, 158, 1166, 229, 1237, 324, 1332, 228, 1236, 157, 1165, 105, 1113)(71, 1079, 107, 1115, 159, 1167, 231, 1239, 327, 1335, 234, 1242, 160, 1168, 108, 1116)(76, 1084, 115, 1123, 170, 1178, 246, 1254, 344, 1352, 243, 1251, 167, 1175, 112, 1120)(81, 1089, 121, 1129, 179, 1187, 258, 1266, 360, 1368, 261, 1269, 180, 1188, 122, 1130)(86, 1094, 128, 1136, 189, 1197, 271, 1279, 376, 1384, 273, 1281, 190, 1198, 129, 1137)(93, 1101, 140, 1148, 204, 1212, 292, 1300, 390, 1398, 282, 1290, 197, 1205, 134, 1142)(96, 1104, 143, 1151, 209, 1217, 298, 1306, 412, 1420, 301, 1309, 210, 1218, 144, 1152)(99, 1107, 148, 1156, 216, 1224, 307, 1315, 421, 1429, 306, 1314, 215, 1223, 147, 1155)(100, 1108, 149, 1157, 217, 1225, 309, 1317, 424, 1432, 312, 1320, 218, 1226, 150, 1158)(113, 1121, 168, 1176, 214, 1222, 305, 1313, 419, 1427, 335, 1343, 237, 1245, 162, 1170)(116, 1124, 172, 1180, 249, 1257, 349, 1357, 470, 1478, 348, 1356, 248, 1256, 171, 1179)(118, 1126, 174, 1182, 252, 1260, 353, 1361, 476, 1484, 355, 1363, 253, 1261, 175, 1183)(125, 1133, 185, 1193, 266, 1274, 370, 1378, 493, 1501, 368, 1376, 264, 1272, 182, 1190)(127, 1135, 187, 1195, 269, 1277, 373, 1381, 498, 1506, 375, 1383, 270, 1278, 188, 1196)(132, 1140, 135, 1143, 198, 1206, 283, 1291, 391, 1399, 384, 1392, 278, 1286, 194, 1202)(138, 1146, 201, 1209, 288, 1296, 397, 1405, 527, 1535, 400, 1408, 289, 1297, 202, 1210)(141, 1149, 206, 1214, 295, 1303, 406, 1414, 536, 1544, 405, 1413, 294, 1302, 205, 1213)(142, 1150, 207, 1215, 296, 1304, 408, 1416, 539, 1547, 411, 1419, 297, 1305, 208, 1216)(153, 1161, 223, 1231, 293, 1301, 404, 1412, 534, 1542, 432, 1440, 315, 1323, 220, 1228)(156, 1164, 226, 1234, 322, 1330, 437, 1445, 362, 1370, 259, 1267, 183, 1191, 227, 1235)(163, 1171, 238, 1246, 336, 1344, 455, 1463, 583, 1591, 446, 1454, 329, 1337, 232, 1240)(166, 1174, 241, 1249, 341, 1349, 460, 1468, 600, 1608, 462, 1470, 342, 1350, 242, 1250)(169, 1177, 245, 1253, 345, 1353, 465, 1473, 550, 1558, 418, 1426, 304, 1312, 244, 1252)(173, 1181, 250, 1258, 351, 1359, 473, 1481, 613, 1621, 475, 1483, 352, 1360, 251, 1259)(178, 1186, 233, 1241, 330, 1338, 447, 1455, 541, 1549, 409, 1417, 300, 1308, 257, 1265)(186, 1194, 268, 1276, 372, 1380, 496, 1504, 639, 1647, 495, 1503, 371, 1379, 267, 1275)(191, 1199, 274, 1282, 379, 1387, 505, 1513, 648, 1656, 504, 1512, 378, 1386, 272, 1280)(193, 1201, 276, 1284, 382, 1390, 508, 1516, 652, 1660, 510, 1518, 383, 1391, 277, 1285)(196, 1204, 280, 1288, 387, 1395, 513, 1521, 659, 1667, 516, 1524, 388, 1396, 281, 1289)(199, 1207, 285, 1293, 394, 1402, 521, 1529, 667, 1675, 520, 1528, 393, 1401, 284, 1292)(200, 1208, 286, 1294, 395, 1403, 523, 1531, 669, 1677, 526, 1534, 396, 1404, 287, 1295)(211, 1219, 302, 1310, 392, 1400, 519, 1527, 665, 1673, 547, 1555, 414, 1422, 299, 1307)(221, 1229, 316, 1324, 247, 1255, 347, 1355, 468, 1476, 559, 1567, 426, 1434, 310, 1318)(224, 1232, 319, 1327, 435, 1443, 569, 1577, 680, 1688, 533, 1541, 403, 1411, 318, 1326)(225, 1233, 320, 1328, 265, 1273, 369, 1377, 494, 1502, 572, 1580, 436, 1444, 321, 1329)(230, 1238, 311, 1319, 427, 1435, 560, 1568, 671, 1679, 524, 1532, 399, 1407, 326, 1334)(236, 1244, 333, 1341, 452, 1460, 589, 1597, 666, 1674, 592, 1600, 453, 1461, 334, 1342)(239, 1247, 338, 1346, 457, 1465, 595, 1603, 744, 1752, 594, 1602, 456, 1464, 337, 1345)(240, 1248, 339, 1347, 458, 1466, 597, 1605, 747, 1755, 599, 1607, 459, 1467, 340, 1348)(254, 1262, 356, 1364, 479, 1487, 620, 1628, 660, 1668, 619, 1627, 478, 1486, 354, 1362)(256, 1264, 358, 1366, 415, 1423, 548, 1556, 697, 1705, 624, 1632, 482, 1490, 359, 1367)(260, 1268, 363, 1371, 486, 1494, 629, 1637, 739, 1747, 591, 1599, 472, 1480, 350, 1358)(263, 1271, 366, 1374, 491, 1499, 633, 1641, 661, 1669, 514, 1522, 389, 1397, 367, 1375)(275, 1283, 381, 1389, 507, 1515, 650, 1658, 783, 1791, 649, 1657, 506, 1514, 380, 1388)(279, 1287, 385, 1393, 511, 1519, 655, 1663, 788, 1796, 658, 1666, 512, 1520, 386, 1394)(290, 1298, 401, 1409, 377, 1385, 503, 1511, 646, 1654, 677, 1685, 529, 1537, 398, 1406)(303, 1311, 417, 1425, 549, 1557, 698, 1706, 796, 1804, 664, 1672, 518, 1526, 416, 1424)(308, 1316, 410, 1418, 542, 1550, 689, 1697, 790, 1798, 656, 1664, 515, 1523, 423, 1431)(314, 1322, 430, 1438, 565, 1573, 714, 1722, 647, 1655, 716, 1724, 566, 1574, 431, 1439)(317, 1325, 434, 1442, 568, 1576, 718, 1726, 607, 1615, 467, 1475, 346, 1354, 433, 1441)(323, 1331, 439, 1447, 575, 1583, 726, 1734, 653, 1661, 725, 1733, 574, 1582, 438, 1446)(325, 1333, 441, 1449, 530, 1538, 678, 1686, 806, 1814, 730, 1738, 578, 1586, 442, 1450)(328, 1336, 444, 1452, 581, 1589, 733, 1741, 849, 1857, 735, 1743, 582, 1590, 445, 1453)(331, 1339, 449, 1457, 586, 1594, 736, 1744, 804, 1812, 674, 1682, 585, 1593, 448, 1456)(332, 1340, 450, 1458, 587, 1595, 738, 1746, 852, 1860, 741, 1749, 588, 1596, 451, 1459)(343, 1351, 463, 1471, 584, 1592, 676, 1684, 528, 1536, 675, 1683, 602, 1610, 461, 1469)(357, 1365, 481, 1489, 622, 1630, 764, 1772, 800, 1808, 670, 1678, 621, 1629, 480, 1488)(361, 1369, 484, 1492, 627, 1635, 681, 1689, 535, 1543, 682, 1690, 628, 1636, 485, 1493)(364, 1372, 488, 1496, 631, 1639, 771, 1779, 877, 1885, 770, 1778, 630, 1638, 487, 1495)(365, 1373, 489, 1497, 517, 1525, 663, 1671, 795, 1803, 774, 1782, 632, 1640, 490, 1498)(374, 1382, 500, 1508, 522, 1530, 657, 1665, 791, 1799, 769, 1777, 641, 1649, 497, 1505)(402, 1410, 532, 1540, 679, 1687, 807, 1815, 760, 1768, 614, 1622, 502, 1510, 531, 1539)(407, 1415, 525, 1533, 672, 1680, 801, 1809, 785, 1793, 651, 1659, 509, 1517, 538, 1546)(413, 1421, 545, 1553, 694, 1702, 634, 1642, 492, 1500, 635, 1643, 695, 1703, 546, 1554)(420, 1428, 552, 1560, 702, 1710, 643, 1651, 499, 1507, 617, 1625, 701, 1709, 551, 1559)(422, 1430, 554, 1562, 662, 1670, 794, 1802, 895, 1903, 827, 1835, 705, 1713, 555, 1563)(425, 1433, 557, 1565, 708, 1716, 636, 1644, 743, 1751, 831, 1839, 709, 1717, 558, 1566)(428, 1436, 562, 1570, 711, 1719, 832, 1840, 894, 1902, 793, 1801, 710, 1718, 561, 1569)(429, 1437, 563, 1571, 712, 1720, 638, 1646, 776, 1784, 835, 1843, 713, 1721, 564, 1572)(440, 1448, 577, 1585, 728, 1736, 842, 1850, 892, 1900, 789, 1797, 727, 1735, 576, 1584)(443, 1451, 579, 1587, 731, 1739, 845, 1853, 937, 1945, 848, 1856, 732, 1740, 580, 1588)(454, 1462, 593, 1601, 477, 1485, 618, 1626, 763, 1771, 819, 1827, 696, 1704, 590, 1598)(464, 1472, 604, 1612, 751, 1759, 815, 1823, 688, 1696, 540, 1548, 687, 1695, 603, 1611)(466, 1474, 598, 1606, 748, 1756, 859, 1867, 939, 1947, 846, 1854, 734, 1742, 606, 1614)(469, 1477, 609, 1617, 755, 1763, 818, 1826, 693, 1701, 544, 1552, 692, 1700, 608, 1616)(471, 1479, 611, 1619, 742, 1750, 797, 1805, 898, 1906, 868, 1876, 758, 1766, 612, 1620)(474, 1482, 615, 1623, 737, 1745, 847, 1855, 923, 1931, 830, 1838, 721, 1729, 570, 1578)(483, 1491, 625, 1633, 767, 1775, 792, 1800, 893, 1901, 876, 1884, 768, 1776, 626, 1634)(501, 1509, 645, 1653, 782, 1790, 885, 1893, 899, 1907, 798, 1806, 668, 1676, 644, 1652)(537, 1545, 684, 1692, 654, 1662, 787, 1795, 890, 1898, 909, 1917, 812, 1820, 685, 1693)(543, 1551, 691, 1699, 817, 1825, 913, 1921, 889, 1897, 786, 1794, 816, 1824, 690, 1698)(553, 1561, 704, 1712, 825, 1833, 919, 1927, 888, 1896, 784, 1792, 824, 1832, 703, 1711)(556, 1564, 706, 1714, 828, 1836, 922, 1930, 974, 1982, 925, 1933, 829, 1837, 707, 1715)(567, 1575, 717, 1725, 573, 1581, 724, 1732, 601, 1609, 750, 1758, 805, 1813, 715, 1723)(571, 1579, 722, 1730, 833, 1841, 924, 1932, 969, 1977, 912, 1920, 822, 1830, 699, 1707)(596, 1604, 740, 1748, 853, 1861, 904, 1912, 873, 1881, 765, 1773, 623, 1631, 746, 1754)(605, 1613, 752, 1760, 850, 1858, 940, 1948, 979, 1987, 947, 1955, 863, 1871, 753, 1761)(610, 1618, 757, 1765, 866, 1874, 948, 1956, 978, 1986, 938, 1946, 865, 1873, 756, 1764)(616, 1624, 762, 1770, 871, 1879, 908, 1916, 966, 1974, 903, 1911, 851, 1859, 761, 1769)(637, 1645, 773, 1781, 879, 1887, 929, 1937, 975, 1983, 949, 1957, 867, 1875, 775, 1783)(640, 1648, 778, 1786, 810, 1818, 683, 1691, 811, 1819, 907, 1915, 883, 1891, 779, 1787)(642, 1650, 780, 1788, 802, 1810, 673, 1681, 803, 1811, 902, 1910, 884, 1892, 781, 1789)(686, 1694, 813, 1821, 910, 1918, 968, 1976, 992, 2000, 971, 1979, 911, 1919, 814, 1822)(700, 1708, 823, 1831, 914, 1922, 970, 1978, 951, 1959, 872, 1880, 905, 1913, 808, 1816)(719, 1727, 834, 1842, 928, 1936, 880, 1888, 935, 1943, 843, 1851, 729, 1737, 837, 1845)(720, 1728, 838, 1846, 926, 1934, 855, 1863, 944, 1952, 886, 1894, 932, 1940, 839, 1847)(723, 1731, 841, 1849, 933, 1941, 962, 1970, 988, 1996, 959, 1967, 927, 1935, 840, 1848)(745, 1753, 856, 1864, 766, 1774, 874, 1882, 921, 1929, 973, 1981, 945, 1953, 857, 1865)(749, 1757, 861, 1869, 920, 1928, 826, 1834, 916, 1924, 820, 1828, 915, 1923, 860, 1868)(754, 1762, 864, 1872, 772, 1780, 875, 1883, 918, 1926, 821, 1829, 917, 1925, 862, 1870)(759, 1767, 869, 1877, 942, 1950, 854, 1862, 943, 1951, 981, 1989, 950, 1958, 870, 1878)(777, 1785, 882, 1890, 955, 1963, 984, 1992, 997, 2005, 982, 1990, 954, 1962, 881, 1889)(799, 1807, 900, 1908, 963, 1971, 989, 1997, 1001, 2009, 991, 1999, 964, 1972, 901, 1909)(809, 1817, 906, 1914, 965, 1973, 990, 1998, 976, 1984, 934, 1942, 960, 1968, 896, 1904)(836, 1844, 930, 1938, 844, 1852, 936, 1944, 967, 1975, 953, 1961, 878, 1886, 931, 1939)(858, 1866, 897, 1905, 961, 1969, 952, 1960, 983, 1991, 993, 2001, 972, 1980, 946, 1954)(887, 1895, 956, 1964, 985, 1993, 998, 2006, 1004, 2012, 996, 2004, 980, 1988, 941, 1949)(891, 1899, 957, 1965, 986, 1994, 999, 2007, 1005, 2013, 1000, 2008, 987, 1995, 958, 1966)(977, 1985, 995, 2003, 1003, 2011, 1007, 2015, 1008, 2016, 1006, 2014, 1002, 2010, 994, 2002)(2017, 3025)(2018, 3026)(2019, 3027)(2020, 3028)(2021, 3029)(2022, 3030)(2023, 3031)(2024, 3032)(2025, 3033)(2026, 3034)(2027, 3035)(2028, 3036)(2029, 3037)(2030, 3038)(2031, 3039)(2032, 3040)(2033, 3041)(2034, 3042)(2035, 3043)(2036, 3044)(2037, 3045)(2038, 3046)(2039, 3047)(2040, 3048)(2041, 3049)(2042, 3050)(2043, 3051)(2044, 3052)(2045, 3053)(2046, 3054)(2047, 3055)(2048, 3056)(2049, 3057)(2050, 3058)(2051, 3059)(2052, 3060)(2053, 3061)(2054, 3062)(2055, 3063)(2056, 3064)(2057, 3065)(2058, 3066)(2059, 3067)(2060, 3068)(2061, 3069)(2062, 3070)(2063, 3071)(2064, 3072)(2065, 3073)(2066, 3074)(2067, 3075)(2068, 3076)(2069, 3077)(2070, 3078)(2071, 3079)(2072, 3080)(2073, 3081)(2074, 3082)(2075, 3083)(2076, 3084)(2077, 3085)(2078, 3086)(2079, 3087)(2080, 3088)(2081, 3089)(2082, 3090)(2083, 3091)(2084, 3092)(2085, 3093)(2086, 3094)(2087, 3095)(2088, 3096)(2089, 3097)(2090, 3098)(2091, 3099)(2092, 3100)(2093, 3101)(2094, 3102)(2095, 3103)(2096, 3104)(2097, 3105)(2098, 3106)(2099, 3107)(2100, 3108)(2101, 3109)(2102, 3110)(2103, 3111)(2104, 3112)(2105, 3113)(2106, 3114)(2107, 3115)(2108, 3116)(2109, 3117)(2110, 3118)(2111, 3119)(2112, 3120)(2113, 3121)(2114, 3122)(2115, 3123)(2116, 3124)(2117, 3125)(2118, 3126)(2119, 3127)(2120, 3128)(2121, 3129)(2122, 3130)(2123, 3131)(2124, 3132)(2125, 3133)(2126, 3134)(2127, 3135)(2128, 3136)(2129, 3137)(2130, 3138)(2131, 3139)(2132, 3140)(2133, 3141)(2134, 3142)(2135, 3143)(2136, 3144)(2137, 3145)(2138, 3146)(2139, 3147)(2140, 3148)(2141, 3149)(2142, 3150)(2143, 3151)(2144, 3152)(2145, 3153)(2146, 3154)(2147, 3155)(2148, 3156)(2149, 3157)(2150, 3158)(2151, 3159)(2152, 3160)(2153, 3161)(2154, 3162)(2155, 3163)(2156, 3164)(2157, 3165)(2158, 3166)(2159, 3167)(2160, 3168)(2161, 3169)(2162, 3170)(2163, 3171)(2164, 3172)(2165, 3173)(2166, 3174)(2167, 3175)(2168, 3176)(2169, 3177)(2170, 3178)(2171, 3179)(2172, 3180)(2173, 3181)(2174, 3182)(2175, 3183)(2176, 3184)(2177, 3185)(2178, 3186)(2179, 3187)(2180, 3188)(2181, 3189)(2182, 3190)(2183, 3191)(2184, 3192)(2185, 3193)(2186, 3194)(2187, 3195)(2188, 3196)(2189, 3197)(2190, 3198)(2191, 3199)(2192, 3200)(2193, 3201)(2194, 3202)(2195, 3203)(2196, 3204)(2197, 3205)(2198, 3206)(2199, 3207)(2200, 3208)(2201, 3209)(2202, 3210)(2203, 3211)(2204, 3212)(2205, 3213)(2206, 3214)(2207, 3215)(2208, 3216)(2209, 3217)(2210, 3218)(2211, 3219)(2212, 3220)(2213, 3221)(2214, 3222)(2215, 3223)(2216, 3224)(2217, 3225)(2218, 3226)(2219, 3227)(2220, 3228)(2221, 3229)(2222, 3230)(2223, 3231)(2224, 3232)(2225, 3233)(2226, 3234)(2227, 3235)(2228, 3236)(2229, 3237)(2230, 3238)(2231, 3239)(2232, 3240)(2233, 3241)(2234, 3242)(2235, 3243)(2236, 3244)(2237, 3245)(2238, 3246)(2239, 3247)(2240, 3248)(2241, 3249)(2242, 3250)(2243, 3251)(2244, 3252)(2245, 3253)(2246, 3254)(2247, 3255)(2248, 3256)(2249, 3257)(2250, 3258)(2251, 3259)(2252, 3260)(2253, 3261)(2254, 3262)(2255, 3263)(2256, 3264)(2257, 3265)(2258, 3266)(2259, 3267)(2260, 3268)(2261, 3269)(2262, 3270)(2263, 3271)(2264, 3272)(2265, 3273)(2266, 3274)(2267, 3275)(2268, 3276)(2269, 3277)(2270, 3278)(2271, 3279)(2272, 3280)(2273, 3281)(2274, 3282)(2275, 3283)(2276, 3284)(2277, 3285)(2278, 3286)(2279, 3287)(2280, 3288)(2281, 3289)(2282, 3290)(2283, 3291)(2284, 3292)(2285, 3293)(2286, 3294)(2287, 3295)(2288, 3296)(2289, 3297)(2290, 3298)(2291, 3299)(2292, 3300)(2293, 3301)(2294, 3302)(2295, 3303)(2296, 3304)(2297, 3305)(2298, 3306)(2299, 3307)(2300, 3308)(2301, 3309)(2302, 3310)(2303, 3311)(2304, 3312)(2305, 3313)(2306, 3314)(2307, 3315)(2308, 3316)(2309, 3317)(2310, 3318)(2311, 3319)(2312, 3320)(2313, 3321)(2314, 3322)(2315, 3323)(2316, 3324)(2317, 3325)(2318, 3326)(2319, 3327)(2320, 3328)(2321, 3329)(2322, 3330)(2323, 3331)(2324, 3332)(2325, 3333)(2326, 3334)(2327, 3335)(2328, 3336)(2329, 3337)(2330, 3338)(2331, 3339)(2332, 3340)(2333, 3341)(2334, 3342)(2335, 3343)(2336, 3344)(2337, 3345)(2338, 3346)(2339, 3347)(2340, 3348)(2341, 3349)(2342, 3350)(2343, 3351)(2344, 3352)(2345, 3353)(2346, 3354)(2347, 3355)(2348, 3356)(2349, 3357)(2350, 3358)(2351, 3359)(2352, 3360)(2353, 3361)(2354, 3362)(2355, 3363)(2356, 3364)(2357, 3365)(2358, 3366)(2359, 3367)(2360, 3368)(2361, 3369)(2362, 3370)(2363, 3371)(2364, 3372)(2365, 3373)(2366, 3374)(2367, 3375)(2368, 3376)(2369, 3377)(2370, 3378)(2371, 3379)(2372, 3380)(2373, 3381)(2374, 3382)(2375, 3383)(2376, 3384)(2377, 3385)(2378, 3386)(2379, 3387)(2380, 3388)(2381, 3389)(2382, 3390)(2383, 3391)(2384, 3392)(2385, 3393)(2386, 3394)(2387, 3395)(2388, 3396)(2389, 3397)(2390, 3398)(2391, 3399)(2392, 3400)(2393, 3401)(2394, 3402)(2395, 3403)(2396, 3404)(2397, 3405)(2398, 3406)(2399, 3407)(2400, 3408)(2401, 3409)(2402, 3410)(2403, 3411)(2404, 3412)(2405, 3413)(2406, 3414)(2407, 3415)(2408, 3416)(2409, 3417)(2410, 3418)(2411, 3419)(2412, 3420)(2413, 3421)(2414, 3422)(2415, 3423)(2416, 3424)(2417, 3425)(2418, 3426)(2419, 3427)(2420, 3428)(2421, 3429)(2422, 3430)(2423, 3431)(2424, 3432)(2425, 3433)(2426, 3434)(2427, 3435)(2428, 3436)(2429, 3437)(2430, 3438)(2431, 3439)(2432, 3440)(2433, 3441)(2434, 3442)(2435, 3443)(2436, 3444)(2437, 3445)(2438, 3446)(2439, 3447)(2440, 3448)(2441, 3449)(2442, 3450)(2443, 3451)(2444, 3452)(2445, 3453)(2446, 3454)(2447, 3455)(2448, 3456)(2449, 3457)(2450, 3458)(2451, 3459)(2452, 3460)(2453, 3461)(2454, 3462)(2455, 3463)(2456, 3464)(2457, 3465)(2458, 3466)(2459, 3467)(2460, 3468)(2461, 3469)(2462, 3470)(2463, 3471)(2464, 3472)(2465, 3473)(2466, 3474)(2467, 3475)(2468, 3476)(2469, 3477)(2470, 3478)(2471, 3479)(2472, 3480)(2473, 3481)(2474, 3482)(2475, 3483)(2476, 3484)(2477, 3485)(2478, 3486)(2479, 3487)(2480, 3488)(2481, 3489)(2482, 3490)(2483, 3491)(2484, 3492)(2485, 3493)(2486, 3494)(2487, 3495)(2488, 3496)(2489, 3497)(2490, 3498)(2491, 3499)(2492, 3500)(2493, 3501)(2494, 3502)(2495, 3503)(2496, 3504)(2497, 3505)(2498, 3506)(2499, 3507)(2500, 3508)(2501, 3509)(2502, 3510)(2503, 3511)(2504, 3512)(2505, 3513)(2506, 3514)(2507, 3515)(2508, 3516)(2509, 3517)(2510, 3518)(2511, 3519)(2512, 3520)(2513, 3521)(2514, 3522)(2515, 3523)(2516, 3524)(2517, 3525)(2518, 3526)(2519, 3527)(2520, 3528)(2521, 3529)(2522, 3530)(2523, 3531)(2524, 3532)(2525, 3533)(2526, 3534)(2527, 3535)(2528, 3536)(2529, 3537)(2530, 3538)(2531, 3539)(2532, 3540)(2533, 3541)(2534, 3542)(2535, 3543)(2536, 3544)(2537, 3545)(2538, 3546)(2539, 3547)(2540, 3548)(2541, 3549)(2542, 3550)(2543, 3551)(2544, 3552)(2545, 3553)(2546, 3554)(2547, 3555)(2548, 3556)(2549, 3557)(2550, 3558)(2551, 3559)(2552, 3560)(2553, 3561)(2554, 3562)(2555, 3563)(2556, 3564)(2557, 3565)(2558, 3566)(2559, 3567)(2560, 3568)(2561, 3569)(2562, 3570)(2563, 3571)(2564, 3572)(2565, 3573)(2566, 3574)(2567, 3575)(2568, 3576)(2569, 3577)(2570, 3578)(2571, 3579)(2572, 3580)(2573, 3581)(2574, 3582)(2575, 3583)(2576, 3584)(2577, 3585)(2578, 3586)(2579, 3587)(2580, 3588)(2581, 3589)(2582, 3590)(2583, 3591)(2584, 3592)(2585, 3593)(2586, 3594)(2587, 3595)(2588, 3596)(2589, 3597)(2590, 3598)(2591, 3599)(2592, 3600)(2593, 3601)(2594, 3602)(2595, 3603)(2596, 3604)(2597, 3605)(2598, 3606)(2599, 3607)(2600, 3608)(2601, 3609)(2602, 3610)(2603, 3611)(2604, 3612)(2605, 3613)(2606, 3614)(2607, 3615)(2608, 3616)(2609, 3617)(2610, 3618)(2611, 3619)(2612, 3620)(2613, 3621)(2614, 3622)(2615, 3623)(2616, 3624)(2617, 3625)(2618, 3626)(2619, 3627)(2620, 3628)(2621, 3629)(2622, 3630)(2623, 3631)(2624, 3632)(2625, 3633)(2626, 3634)(2627, 3635)(2628, 3636)(2629, 3637)(2630, 3638)(2631, 3639)(2632, 3640)(2633, 3641)(2634, 3642)(2635, 3643)(2636, 3644)(2637, 3645)(2638, 3646)(2639, 3647)(2640, 3648)(2641, 3649)(2642, 3650)(2643, 3651)(2644, 3652)(2645, 3653)(2646, 3654)(2647, 3655)(2648, 3656)(2649, 3657)(2650, 3658)(2651, 3659)(2652, 3660)(2653, 3661)(2654, 3662)(2655, 3663)(2656, 3664)(2657, 3665)(2658, 3666)(2659, 3667)(2660, 3668)(2661, 3669)(2662, 3670)(2663, 3671)(2664, 3672)(2665, 3673)(2666, 3674)(2667, 3675)(2668, 3676)(2669, 3677)(2670, 3678)(2671, 3679)(2672, 3680)(2673, 3681)(2674, 3682)(2675, 3683)(2676, 3684)(2677, 3685)(2678, 3686)(2679, 3687)(2680, 3688)(2681, 3689)(2682, 3690)(2683, 3691)(2684, 3692)(2685, 3693)(2686, 3694)(2687, 3695)(2688, 3696)(2689, 3697)(2690, 3698)(2691, 3699)(2692, 3700)(2693, 3701)(2694, 3702)(2695, 3703)(2696, 3704)(2697, 3705)(2698, 3706)(2699, 3707)(2700, 3708)(2701, 3709)(2702, 3710)(2703, 3711)(2704, 3712)(2705, 3713)(2706, 3714)(2707, 3715)(2708, 3716)(2709, 3717)(2710, 3718)(2711, 3719)(2712, 3720)(2713, 3721)(2714, 3722)(2715, 3723)(2716, 3724)(2717, 3725)(2718, 3726)(2719, 3727)(2720, 3728)(2721, 3729)(2722, 3730)(2723, 3731)(2724, 3732)(2725, 3733)(2726, 3734)(2727, 3735)(2728, 3736)(2729, 3737)(2730, 3738)(2731, 3739)(2732, 3740)(2733, 3741)(2734, 3742)(2735, 3743)(2736, 3744)(2737, 3745)(2738, 3746)(2739, 3747)(2740, 3748)(2741, 3749)(2742, 3750)(2743, 3751)(2744, 3752)(2745, 3753)(2746, 3754)(2747, 3755)(2748, 3756)(2749, 3757)(2750, 3758)(2751, 3759)(2752, 3760)(2753, 3761)(2754, 3762)(2755, 3763)(2756, 3764)(2757, 3765)(2758, 3766)(2759, 3767)(2760, 3768)(2761, 3769)(2762, 3770)(2763, 3771)(2764, 3772)(2765, 3773)(2766, 3774)(2767, 3775)(2768, 3776)(2769, 3777)(2770, 3778)(2771, 3779)(2772, 3780)(2773, 3781)(2774, 3782)(2775, 3783)(2776, 3784)(2777, 3785)(2778, 3786)(2779, 3787)(2780, 3788)(2781, 3789)(2782, 3790)(2783, 3791)(2784, 3792)(2785, 3793)(2786, 3794)(2787, 3795)(2788, 3796)(2789, 3797)(2790, 3798)(2791, 3799)(2792, 3800)(2793, 3801)(2794, 3802)(2795, 3803)(2796, 3804)(2797, 3805)(2798, 3806)(2799, 3807)(2800, 3808)(2801, 3809)(2802, 3810)(2803, 3811)(2804, 3812)(2805, 3813)(2806, 3814)(2807, 3815)(2808, 3816)(2809, 3817)(2810, 3818)(2811, 3819)(2812, 3820)(2813, 3821)(2814, 3822)(2815, 3823)(2816, 3824)(2817, 3825)(2818, 3826)(2819, 3827)(2820, 3828)(2821, 3829)(2822, 3830)(2823, 3831)(2824, 3832)(2825, 3833)(2826, 3834)(2827, 3835)(2828, 3836)(2829, 3837)(2830, 3838)(2831, 3839)(2832, 3840)(2833, 3841)(2834, 3842)(2835, 3843)(2836, 3844)(2837, 3845)(2838, 3846)(2839, 3847)(2840, 3848)(2841, 3849)(2842, 3850)(2843, 3851)(2844, 3852)(2845, 3853)(2846, 3854)(2847, 3855)(2848, 3856)(2849, 3857)(2850, 3858)(2851, 3859)(2852, 3860)(2853, 3861)(2854, 3862)(2855, 3863)(2856, 3864)(2857, 3865)(2858, 3866)(2859, 3867)(2860, 3868)(2861, 3869)(2862, 3870)(2863, 3871)(2864, 3872)(2865, 3873)(2866, 3874)(2867, 3875)(2868, 3876)(2869, 3877)(2870, 3878)(2871, 3879)(2872, 3880)(2873, 3881)(2874, 3882)(2875, 3883)(2876, 3884)(2877, 3885)(2878, 3886)(2879, 3887)(2880, 3888)(2881, 3889)(2882, 3890)(2883, 3891)(2884, 3892)(2885, 3893)(2886, 3894)(2887, 3895)(2888, 3896)(2889, 3897)(2890, 3898)(2891, 3899)(2892, 3900)(2893, 3901)(2894, 3902)(2895, 3903)(2896, 3904)(2897, 3905)(2898, 3906)(2899, 3907)(2900, 3908)(2901, 3909)(2902, 3910)(2903, 3911)(2904, 3912)(2905, 3913)(2906, 3914)(2907, 3915)(2908, 3916)(2909, 3917)(2910, 3918)(2911, 3919)(2912, 3920)(2913, 3921)(2914, 3922)(2915, 3923)(2916, 3924)(2917, 3925)(2918, 3926)(2919, 3927)(2920, 3928)(2921, 3929)(2922, 3930)(2923, 3931)(2924, 3932)(2925, 3933)(2926, 3934)(2927, 3935)(2928, 3936)(2929, 3937)(2930, 3938)(2931, 3939)(2932, 3940)(2933, 3941)(2934, 3942)(2935, 3943)(2936, 3944)(2937, 3945)(2938, 3946)(2939, 3947)(2940, 3948)(2941, 3949)(2942, 3950)(2943, 3951)(2944, 3952)(2945, 3953)(2946, 3954)(2947, 3955)(2948, 3956)(2949, 3957)(2950, 3958)(2951, 3959)(2952, 3960)(2953, 3961)(2954, 3962)(2955, 3963)(2956, 3964)(2957, 3965)(2958, 3966)(2959, 3967)(2960, 3968)(2961, 3969)(2962, 3970)(2963, 3971)(2964, 3972)(2965, 3973)(2966, 3974)(2967, 3975)(2968, 3976)(2969, 3977)(2970, 3978)(2971, 3979)(2972, 3980)(2973, 3981)(2974, 3982)(2975, 3983)(2976, 3984)(2977, 3985)(2978, 3986)(2979, 3987)(2980, 3988)(2981, 3989)(2982, 3990)(2983, 3991)(2984, 3992)(2985, 3993)(2986, 3994)(2987, 3995)(2988, 3996)(2989, 3997)(2990, 3998)(2991, 3999)(2992, 4000)(2993, 4001)(2994, 4002)(2995, 4003)(2996, 4004)(2997, 4005)(2998, 4006)(2999, 4007)(3000, 4008)(3001, 4009)(3002, 4010)(3003, 4011)(3004, 4012)(3005, 4013)(3006, 4014)(3007, 4015)(3008, 4016)(3009, 4017)(3010, 4018)(3011, 4019)(3012, 4020)(3013, 4021)(3014, 4022)(3015, 4023)(3016, 4024)(3017, 4025)(3018, 4026)(3019, 4027)(3020, 4028)(3021, 4029)(3022, 4030)(3023, 4031)(3024, 4032)
	L = (1, 2019)(2, 2022)(3, 2017)(4, 2025)(5, 2028)(6, 2018)(7, 2032)(8, 2029)(9, 2020)(10, 2035)(11, 2038)(12, 2021)(13, 2024)(14, 2039)(15, 2044)(16, 2023)(17, 2046)(18, 2049)(19, 2026)(20, 2051)(21, 2052)(22, 2027)(23, 2030)(24, 2053)(25, 2058)(26, 2059)(27, 2062)(28, 2031)(29, 2063)(30, 2033)(31, 2067)(32, 2069)(33, 2034)(34, 2072)(35, 2036)(36, 2037)(37, 2040)(38, 2074)(39, 2079)(40, 2080)(41, 2083)(42, 2041)(43, 2042)(44, 2086)(45, 2087)(46, 2043)(47, 2045)(48, 2088)(49, 2092)(50, 2095)(51, 2047)(52, 2097)(53, 2048)(54, 2098)(55, 2102)(56, 2050)(57, 2075)(58, 2054)(59, 2073)(60, 2108)(61, 2109)(62, 2112)(63, 2055)(64, 2056)(65, 2115)(66, 2116)(67, 2057)(68, 2117)(69, 2121)(70, 2060)(71, 2061)(72, 2064)(73, 2123)(74, 2128)(75, 2129)(76, 2065)(77, 2132)(78, 2134)(79, 2066)(80, 2124)(81, 2068)(82, 2070)(83, 2137)(84, 2141)(85, 2143)(86, 2071)(87, 2144)(88, 2148)(89, 2150)(90, 2151)(91, 2154)(92, 2076)(93, 2077)(94, 2157)(95, 2158)(96, 2078)(97, 2159)(98, 2163)(99, 2081)(100, 2082)(101, 2084)(102, 2165)(103, 2169)(104, 2172)(105, 2085)(106, 2166)(107, 2089)(108, 2096)(109, 2178)(110, 2179)(111, 2182)(112, 2090)(113, 2091)(114, 2185)(115, 2187)(116, 2093)(117, 2189)(118, 2094)(119, 2190)(120, 2194)(121, 2099)(122, 2188)(123, 2198)(124, 2199)(125, 2100)(126, 2202)(127, 2101)(128, 2103)(129, 2203)(130, 2207)(131, 2209)(132, 2104)(133, 2212)(134, 2105)(135, 2106)(136, 2215)(137, 2216)(138, 2107)(139, 2217)(140, 2221)(141, 2110)(142, 2111)(143, 2113)(144, 2223)(145, 2227)(146, 2230)(147, 2114)(148, 2224)(149, 2118)(150, 2122)(151, 2236)(152, 2237)(153, 2119)(154, 2240)(155, 2241)(156, 2120)(157, 2242)(158, 2246)(159, 2248)(160, 2249)(161, 2252)(162, 2125)(163, 2126)(164, 2255)(165, 2256)(166, 2127)(167, 2257)(168, 2260)(169, 2130)(170, 2263)(171, 2131)(172, 2138)(173, 2133)(174, 2135)(175, 2266)(176, 2270)(177, 2272)(178, 2136)(179, 2275)(180, 2276)(181, 2279)(182, 2139)(183, 2140)(184, 2281)(185, 2283)(186, 2142)(187, 2145)(188, 2284)(189, 2288)(190, 2269)(191, 2146)(192, 2291)(193, 2147)(194, 2292)(195, 2295)(196, 2149)(197, 2296)(198, 2300)(199, 2152)(200, 2153)(201, 2155)(202, 2302)(203, 2306)(204, 2309)(205, 2156)(206, 2303)(207, 2160)(208, 2164)(209, 2315)(210, 2316)(211, 2161)(212, 2319)(213, 2320)(214, 2162)(215, 2321)(216, 2324)(217, 2326)(218, 2327)(219, 2330)(220, 2167)(221, 2168)(222, 2333)(223, 2334)(224, 2170)(225, 2171)(226, 2173)(227, 2336)(228, 2339)(229, 2341)(230, 2174)(231, 2344)(232, 2175)(233, 2176)(234, 2347)(235, 2348)(236, 2177)(237, 2349)(238, 2353)(239, 2180)(240, 2181)(241, 2183)(242, 2355)(243, 2359)(244, 2184)(245, 2356)(246, 2362)(247, 2186)(248, 2363)(249, 2366)(250, 2191)(251, 2335)(252, 2370)(253, 2206)(254, 2192)(255, 2373)(256, 2193)(257, 2374)(258, 2377)(259, 2195)(260, 2196)(261, 2380)(262, 2381)(263, 2197)(264, 2382)(265, 2200)(266, 2352)(267, 2201)(268, 2204)(269, 2371)(270, 2390)(271, 2393)(272, 2205)(273, 2367)(274, 2396)(275, 2208)(276, 2210)(277, 2397)(278, 2358)(279, 2211)(280, 2213)(281, 2401)(282, 2405)(283, 2408)(284, 2214)(285, 2402)(286, 2218)(287, 2222)(288, 2414)(289, 2415)(290, 2219)(291, 2418)(292, 2419)(293, 2220)(294, 2420)(295, 2423)(296, 2425)(297, 2426)(298, 2429)(299, 2225)(300, 2226)(301, 2431)(302, 2432)(303, 2228)(304, 2229)(305, 2231)(306, 2436)(307, 2438)(308, 2232)(309, 2441)(310, 2233)(311, 2234)(312, 2444)(313, 2445)(314, 2235)(315, 2446)(316, 2449)(317, 2238)(318, 2239)(319, 2267)(320, 2243)(321, 2433)(322, 2454)(323, 2244)(324, 2456)(325, 2245)(326, 2457)(327, 2459)(328, 2247)(329, 2460)(330, 2464)(331, 2250)(332, 2251)(333, 2253)(334, 2466)(335, 2470)(336, 2282)(337, 2254)(338, 2467)(339, 2258)(340, 2261)(341, 2477)(342, 2294)(343, 2259)(344, 2480)(345, 2482)(346, 2262)(347, 2264)(348, 2485)(349, 2487)(350, 2265)(351, 2289)(352, 2490)(353, 2493)(354, 2268)(355, 2285)(356, 2496)(357, 2271)(358, 2273)(359, 2497)(360, 2499)(361, 2274)(362, 2500)(363, 2503)(364, 2277)(365, 2278)(366, 2280)(367, 2505)(368, 2508)(369, 2506)(370, 2472)(371, 2471)(372, 2513)(373, 2515)(374, 2286)(375, 2517)(376, 2518)(377, 2287)(378, 2519)(379, 2502)(380, 2290)(381, 2293)(382, 2478)(383, 2525)(384, 2474)(385, 2297)(386, 2301)(387, 2530)(388, 2531)(389, 2298)(390, 2533)(391, 2534)(392, 2299)(393, 2535)(394, 2538)(395, 2540)(396, 2541)(397, 2544)(398, 2304)(399, 2305)(400, 2546)(401, 2547)(402, 2307)(403, 2308)(404, 2310)(405, 2551)(406, 2553)(407, 2311)(408, 2556)(409, 2312)(410, 2313)(411, 2559)(412, 2560)(413, 2314)(414, 2561)(415, 2317)(416, 2318)(417, 2337)(418, 2548)(419, 2567)(420, 2322)(421, 2569)(422, 2323)(423, 2570)(424, 2572)(425, 2325)(426, 2573)(427, 2577)(428, 2328)(429, 2329)(430, 2331)(431, 2579)(432, 2583)(433, 2332)(434, 2580)(435, 2586)(436, 2587)(437, 2589)(438, 2338)(439, 2592)(440, 2340)(441, 2342)(442, 2593)(443, 2343)(444, 2345)(445, 2595)(446, 2582)(447, 2600)(448, 2346)(449, 2596)(450, 2350)(451, 2354)(452, 2606)(453, 2607)(454, 2351)(455, 2387)(456, 2386)(457, 2612)(458, 2400)(459, 2614)(460, 2617)(461, 2357)(462, 2398)(463, 2619)(464, 2360)(465, 2621)(466, 2361)(467, 2620)(468, 2624)(469, 2364)(470, 2626)(471, 2365)(472, 2627)(473, 2630)(474, 2368)(475, 2632)(476, 2633)(477, 2369)(478, 2634)(479, 2576)(480, 2372)(481, 2375)(482, 2639)(483, 2376)(484, 2378)(485, 2641)(486, 2395)(487, 2379)(488, 2642)(489, 2383)(490, 2385)(491, 2650)(492, 2384)(493, 2652)(494, 2653)(495, 2654)(496, 2656)(497, 2388)(498, 2658)(499, 2389)(500, 2660)(501, 2391)(502, 2392)(503, 2394)(504, 2663)(505, 2646)(506, 2645)(507, 2667)(508, 2669)(509, 2399)(510, 2670)(511, 2672)(512, 2673)(513, 2676)(514, 2403)(515, 2404)(516, 2678)(517, 2406)(518, 2407)(519, 2409)(520, 2682)(521, 2684)(522, 2410)(523, 2686)(524, 2411)(525, 2412)(526, 2689)(527, 2690)(528, 2413)(529, 2691)(530, 2416)(531, 2417)(532, 2434)(533, 2679)(534, 2697)(535, 2421)(536, 2699)(537, 2422)(538, 2700)(539, 2702)(540, 2424)(541, 2703)(542, 2706)(543, 2427)(544, 2428)(545, 2430)(546, 2708)(547, 2712)(548, 2709)(549, 2715)(550, 2716)(551, 2435)(552, 2719)(553, 2437)(554, 2439)(555, 2720)(556, 2440)(557, 2442)(558, 2722)(559, 2711)(560, 2495)(561, 2443)(562, 2723)(563, 2447)(564, 2450)(565, 2731)(566, 2462)(567, 2448)(568, 2735)(569, 2736)(570, 2451)(571, 2452)(572, 2739)(573, 2453)(574, 2740)(575, 2705)(576, 2455)(577, 2458)(578, 2745)(579, 2461)(580, 2465)(581, 2732)(582, 2750)(583, 2728)(584, 2463)(585, 2692)(586, 2753)(587, 2755)(588, 2756)(589, 2681)(590, 2468)(591, 2469)(592, 2758)(593, 2717)(594, 2759)(595, 2761)(596, 2473)(597, 2680)(598, 2475)(599, 2765)(600, 2741)(601, 2476)(602, 2766)(603, 2479)(604, 2483)(605, 2481)(606, 2768)(607, 2770)(608, 2484)(609, 2772)(610, 2486)(611, 2488)(612, 2773)(613, 2775)(614, 2489)(615, 2777)(616, 2491)(617, 2492)(618, 2494)(619, 2677)(620, 2726)(621, 2687)(622, 2781)(623, 2498)(624, 2782)(625, 2501)(626, 2504)(627, 2733)(628, 2785)(629, 2522)(630, 2521)(631, 2788)(632, 2789)(633, 2779)(634, 2507)(635, 2724)(636, 2509)(637, 2510)(638, 2511)(639, 2793)(640, 2512)(641, 2794)(642, 2514)(643, 2796)(644, 2516)(645, 2797)(646, 2730)(647, 2520)(648, 2749)(649, 2754)(650, 2800)(651, 2523)(652, 2802)(653, 2524)(654, 2526)(655, 2805)(656, 2527)(657, 2528)(658, 2808)(659, 2809)(660, 2529)(661, 2635)(662, 2532)(663, 2549)(664, 2613)(665, 2605)(666, 2536)(667, 2813)(668, 2537)(669, 2815)(670, 2539)(671, 2637)(672, 2818)(673, 2542)(674, 2543)(675, 2545)(676, 2601)(677, 2821)(678, 2820)(679, 2824)(680, 2825)(681, 2550)(682, 2826)(683, 2552)(684, 2554)(685, 2827)(686, 2555)(687, 2557)(688, 2829)(689, 2591)(690, 2558)(691, 2830)(692, 2562)(693, 2564)(694, 2835)(695, 2575)(696, 2563)(697, 2836)(698, 2837)(699, 2565)(700, 2566)(701, 2609)(702, 2817)(703, 2568)(704, 2571)(705, 2842)(706, 2574)(707, 2578)(708, 2651)(709, 2846)(710, 2636)(711, 2849)(712, 2599)(713, 2850)(714, 2662)(715, 2581)(716, 2597)(717, 2643)(718, 2852)(719, 2584)(720, 2585)(721, 2854)(722, 2856)(723, 2588)(724, 2590)(725, 2616)(726, 2832)(727, 2806)(728, 2859)(729, 2594)(730, 2860)(731, 2862)(732, 2863)(733, 2664)(734, 2598)(735, 2866)(736, 2867)(737, 2602)(738, 2665)(739, 2603)(740, 2604)(741, 2870)(742, 2608)(743, 2610)(744, 2871)(745, 2611)(746, 2872)(747, 2874)(748, 2876)(749, 2615)(750, 2618)(751, 2878)(752, 2622)(753, 2839)(754, 2623)(755, 2875)(756, 2625)(757, 2628)(758, 2883)(759, 2629)(760, 2885)(761, 2631)(762, 2886)(763, 2649)(764, 2888)(765, 2638)(766, 2640)(767, 2807)(768, 2891)(769, 2644)(770, 2865)(771, 2894)(772, 2647)(773, 2648)(774, 2896)(775, 2857)(776, 2897)(777, 2655)(778, 2657)(779, 2898)(780, 2659)(781, 2661)(782, 2902)(783, 2903)(784, 2666)(785, 2840)(786, 2668)(787, 2905)(788, 2907)(789, 2671)(790, 2743)(791, 2783)(792, 2674)(793, 2675)(794, 2910)(795, 2912)(796, 2913)(797, 2683)(798, 2914)(799, 2685)(800, 2916)(801, 2718)(802, 2688)(803, 2917)(804, 2694)(805, 2693)(806, 2919)(807, 2920)(808, 2695)(809, 2696)(810, 2698)(811, 2701)(812, 2924)(813, 2704)(814, 2707)(815, 2928)(816, 2742)(817, 2930)(818, 2931)(819, 2710)(820, 2713)(821, 2714)(822, 2933)(823, 2769)(824, 2801)(825, 2936)(826, 2721)(827, 2937)(828, 2939)(829, 2940)(830, 2725)(831, 2942)(832, 2943)(833, 2727)(834, 2729)(835, 2945)(836, 2734)(837, 2946)(838, 2737)(839, 2922)(840, 2738)(841, 2791)(842, 2950)(843, 2744)(844, 2746)(845, 2954)(846, 2747)(847, 2748)(848, 2938)(849, 2786)(850, 2751)(851, 2752)(852, 2957)(853, 2958)(854, 2757)(855, 2760)(856, 2762)(857, 2960)(858, 2763)(859, 2771)(860, 2764)(861, 2962)(862, 2767)(863, 2929)(864, 2947)(865, 2955)(866, 2965)(867, 2774)(868, 2949)(869, 2776)(870, 2778)(871, 2923)(872, 2780)(873, 2921)(874, 2932)(875, 2784)(876, 2968)(877, 2956)(878, 2787)(879, 2944)(880, 2790)(881, 2792)(882, 2795)(883, 2966)(884, 2948)(885, 2961)(886, 2798)(887, 2799)(888, 2972)(889, 2803)(890, 2963)(891, 2804)(892, 2973)(893, 2974)(894, 2810)(895, 2975)(896, 2811)(897, 2812)(898, 2814)(899, 2978)(900, 2816)(901, 2819)(902, 2981)(903, 2822)(904, 2823)(905, 2889)(906, 2855)(907, 2887)(908, 2828)(909, 2983)(910, 2985)(911, 2986)(912, 2831)(913, 2879)(914, 2833)(915, 2834)(916, 2890)(917, 2838)(918, 2977)(919, 2988)(920, 2841)(921, 2843)(922, 2864)(923, 2844)(924, 2845)(925, 2984)(926, 2847)(927, 2848)(928, 2895)(929, 2851)(930, 2853)(931, 2880)(932, 2900)(933, 2884)(934, 2858)(935, 2976)(936, 2982)(937, 2993)(938, 2861)(939, 2881)(940, 2893)(941, 2868)(942, 2869)(943, 2996)(944, 2873)(945, 2901)(946, 2877)(947, 2906)(948, 2998)(949, 2882)(950, 2899)(951, 2979)(952, 2892)(953, 2995)(954, 2991)(955, 2997)(956, 2904)(957, 2908)(958, 2909)(959, 2911)(960, 2951)(961, 2934)(962, 2915)(963, 2967)(964, 3006)(965, 2918)(966, 2952)(967, 2925)(968, 2941)(969, 2926)(970, 2927)(971, 3005)(972, 2935)(973, 3004)(974, 3010)(975, 2970)(976, 3002)(977, 2953)(978, 3011)(979, 2969)(980, 2959)(981, 2971)(982, 2964)(983, 3003)(984, 3012)(985, 3009)(986, 2992)(987, 2999)(988, 2989)(989, 2987)(990, 2980)(991, 3015)(992, 3018)(993, 3001)(994, 2990)(995, 2994)(996, 3000)(997, 3019)(998, 3016)(999, 3007)(1000, 3014)(1001, 3022)(1002, 3008)(1003, 3013)(1004, 3023)(1005, 3024)(1006, 3017)(1007, 3020)(1008, 3021)(1009, 3025)(1010, 3026)(1011, 3027)(1012, 3028)(1013, 3029)(1014, 3030)(1015, 3031)(1016, 3032)(1017, 3033)(1018, 3034)(1019, 3035)(1020, 3036)(1021, 3037)(1022, 3038)(1023, 3039)(1024, 3040)(1025, 3041)(1026, 3042)(1027, 3043)(1028, 3044)(1029, 3045)(1030, 3046)(1031, 3047)(1032, 3048)(1033, 3049)(1034, 3050)(1035, 3051)(1036, 3052)(1037, 3053)(1038, 3054)(1039, 3055)(1040, 3056)(1041, 3057)(1042, 3058)(1043, 3059)(1044, 3060)(1045, 3061)(1046, 3062)(1047, 3063)(1048, 3064)(1049, 3065)(1050, 3066)(1051, 3067)(1052, 3068)(1053, 3069)(1054, 3070)(1055, 3071)(1056, 3072)(1057, 3073)(1058, 3074)(1059, 3075)(1060, 3076)(1061, 3077)(1062, 3078)(1063, 3079)(1064, 3080)(1065, 3081)(1066, 3082)(1067, 3083)(1068, 3084)(1069, 3085)(1070, 3086)(1071, 3087)(1072, 3088)(1073, 3089)(1074, 3090)(1075, 3091)(1076, 3092)(1077, 3093)(1078, 3094)(1079, 3095)(1080, 3096)(1081, 3097)(1082, 3098)(1083, 3099)(1084, 3100)(1085, 3101)(1086, 3102)(1087, 3103)(1088, 3104)(1089, 3105)(1090, 3106)(1091, 3107)(1092, 3108)(1093, 3109)(1094, 3110)(1095, 3111)(1096, 3112)(1097, 3113)(1098, 3114)(1099, 3115)(1100, 3116)(1101, 3117)(1102, 3118)(1103, 3119)(1104, 3120)(1105, 3121)(1106, 3122)(1107, 3123)(1108, 3124)(1109, 3125)(1110, 3126)(1111, 3127)(1112, 3128)(1113, 3129)(1114, 3130)(1115, 3131)(1116, 3132)(1117, 3133)(1118, 3134)(1119, 3135)(1120, 3136)(1121, 3137)(1122, 3138)(1123, 3139)(1124, 3140)(1125, 3141)(1126, 3142)(1127, 3143)(1128, 3144)(1129, 3145)(1130, 3146)(1131, 3147)(1132, 3148)(1133, 3149)(1134, 3150)(1135, 3151)(1136, 3152)(1137, 3153)(1138, 3154)(1139, 3155)(1140, 3156)(1141, 3157)(1142, 3158)(1143, 3159)(1144, 3160)(1145, 3161)(1146, 3162)(1147, 3163)(1148, 3164)(1149, 3165)(1150, 3166)(1151, 3167)(1152, 3168)(1153, 3169)(1154, 3170)(1155, 3171)(1156, 3172)(1157, 3173)(1158, 3174)(1159, 3175)(1160, 3176)(1161, 3177)(1162, 3178)(1163, 3179)(1164, 3180)(1165, 3181)(1166, 3182)(1167, 3183)(1168, 3184)(1169, 3185)(1170, 3186)(1171, 3187)(1172, 3188)(1173, 3189)(1174, 3190)(1175, 3191)(1176, 3192)(1177, 3193)(1178, 3194)(1179, 3195)(1180, 3196)(1181, 3197)(1182, 3198)(1183, 3199)(1184, 3200)(1185, 3201)(1186, 3202)(1187, 3203)(1188, 3204)(1189, 3205)(1190, 3206)(1191, 3207)(1192, 3208)(1193, 3209)(1194, 3210)(1195, 3211)(1196, 3212)(1197, 3213)(1198, 3214)(1199, 3215)(1200, 3216)(1201, 3217)(1202, 3218)(1203, 3219)(1204, 3220)(1205, 3221)(1206, 3222)(1207, 3223)(1208, 3224)(1209, 3225)(1210, 3226)(1211, 3227)(1212, 3228)(1213, 3229)(1214, 3230)(1215, 3231)(1216, 3232)(1217, 3233)(1218, 3234)(1219, 3235)(1220, 3236)(1221, 3237)(1222, 3238)(1223, 3239)(1224, 3240)(1225, 3241)(1226, 3242)(1227, 3243)(1228, 3244)(1229, 3245)(1230, 3246)(1231, 3247)(1232, 3248)(1233, 3249)(1234, 3250)(1235, 3251)(1236, 3252)(1237, 3253)(1238, 3254)(1239, 3255)(1240, 3256)(1241, 3257)(1242, 3258)(1243, 3259)(1244, 3260)(1245, 3261)(1246, 3262)(1247, 3263)(1248, 3264)(1249, 3265)(1250, 3266)(1251, 3267)(1252, 3268)(1253, 3269)(1254, 3270)(1255, 3271)(1256, 3272)(1257, 3273)(1258, 3274)(1259, 3275)(1260, 3276)(1261, 3277)(1262, 3278)(1263, 3279)(1264, 3280)(1265, 3281)(1266, 3282)(1267, 3283)(1268, 3284)(1269, 3285)(1270, 3286)(1271, 3287)(1272, 3288)(1273, 3289)(1274, 3290)(1275, 3291)(1276, 3292)(1277, 3293)(1278, 3294)(1279, 3295)(1280, 3296)(1281, 3297)(1282, 3298)(1283, 3299)(1284, 3300)(1285, 3301)(1286, 3302)(1287, 3303)(1288, 3304)(1289, 3305)(1290, 3306)(1291, 3307)(1292, 3308)(1293, 3309)(1294, 3310)(1295, 3311)(1296, 3312)(1297, 3313)(1298, 3314)(1299, 3315)(1300, 3316)(1301, 3317)(1302, 3318)(1303, 3319)(1304, 3320)(1305, 3321)(1306, 3322)(1307, 3323)(1308, 3324)(1309, 3325)(1310, 3326)(1311, 3327)(1312, 3328)(1313, 3329)(1314, 3330)(1315, 3331)(1316, 3332)(1317, 3333)(1318, 3334)(1319, 3335)(1320, 3336)(1321, 3337)(1322, 3338)(1323, 3339)(1324, 3340)(1325, 3341)(1326, 3342)(1327, 3343)(1328, 3344)(1329, 3345)(1330, 3346)(1331, 3347)(1332, 3348)(1333, 3349)(1334, 3350)(1335, 3351)(1336, 3352)(1337, 3353)(1338, 3354)(1339, 3355)(1340, 3356)(1341, 3357)(1342, 3358)(1343, 3359)(1344, 3360)(1345, 3361)(1346, 3362)(1347, 3363)(1348, 3364)(1349, 3365)(1350, 3366)(1351, 3367)(1352, 3368)(1353, 3369)(1354, 3370)(1355, 3371)(1356, 3372)(1357, 3373)(1358, 3374)(1359, 3375)(1360, 3376)(1361, 3377)(1362, 3378)(1363, 3379)(1364, 3380)(1365, 3381)(1366, 3382)(1367, 3383)(1368, 3384)(1369, 3385)(1370, 3386)(1371, 3387)(1372, 3388)(1373, 3389)(1374, 3390)(1375, 3391)(1376, 3392)(1377, 3393)(1378, 3394)(1379, 3395)(1380, 3396)(1381, 3397)(1382, 3398)(1383, 3399)(1384, 3400)(1385, 3401)(1386, 3402)(1387, 3403)(1388, 3404)(1389, 3405)(1390, 3406)(1391, 3407)(1392, 3408)(1393, 3409)(1394, 3410)(1395, 3411)(1396, 3412)(1397, 3413)(1398, 3414)(1399, 3415)(1400, 3416)(1401, 3417)(1402, 3418)(1403, 3419)(1404, 3420)(1405, 3421)(1406, 3422)(1407, 3423)(1408, 3424)(1409, 3425)(1410, 3426)(1411, 3427)(1412, 3428)(1413, 3429)(1414, 3430)(1415, 3431)(1416, 3432)(1417, 3433)(1418, 3434)(1419, 3435)(1420, 3436)(1421, 3437)(1422, 3438)(1423, 3439)(1424, 3440)(1425, 3441)(1426, 3442)(1427, 3443)(1428, 3444)(1429, 3445)(1430, 3446)(1431, 3447)(1432, 3448)(1433, 3449)(1434, 3450)(1435, 3451)(1436, 3452)(1437, 3453)(1438, 3454)(1439, 3455)(1440, 3456)(1441, 3457)(1442, 3458)(1443, 3459)(1444, 3460)(1445, 3461)(1446, 3462)(1447, 3463)(1448, 3464)(1449, 3465)(1450, 3466)(1451, 3467)(1452, 3468)(1453, 3469)(1454, 3470)(1455, 3471)(1456, 3472)(1457, 3473)(1458, 3474)(1459, 3475)(1460, 3476)(1461, 3477)(1462, 3478)(1463, 3479)(1464, 3480)(1465, 3481)(1466, 3482)(1467, 3483)(1468, 3484)(1469, 3485)(1470, 3486)(1471, 3487)(1472, 3488)(1473, 3489)(1474, 3490)(1475, 3491)(1476, 3492)(1477, 3493)(1478, 3494)(1479, 3495)(1480, 3496)(1481, 3497)(1482, 3498)(1483, 3499)(1484, 3500)(1485, 3501)(1486, 3502)(1487, 3503)(1488, 3504)(1489, 3505)(1490, 3506)(1491, 3507)(1492, 3508)(1493, 3509)(1494, 3510)(1495, 3511)(1496, 3512)(1497, 3513)(1498, 3514)(1499, 3515)(1500, 3516)(1501, 3517)(1502, 3518)(1503, 3519)(1504, 3520)(1505, 3521)(1506, 3522)(1507, 3523)(1508, 3524)(1509, 3525)(1510, 3526)(1511, 3527)(1512, 3528)(1513, 3529)(1514, 3530)(1515, 3531)(1516, 3532)(1517, 3533)(1518, 3534)(1519, 3535)(1520, 3536)(1521, 3537)(1522, 3538)(1523, 3539)(1524, 3540)(1525, 3541)(1526, 3542)(1527, 3543)(1528, 3544)(1529, 3545)(1530, 3546)(1531, 3547)(1532, 3548)(1533, 3549)(1534, 3550)(1535, 3551)(1536, 3552)(1537, 3553)(1538, 3554)(1539, 3555)(1540, 3556)(1541, 3557)(1542, 3558)(1543, 3559)(1544, 3560)(1545, 3561)(1546, 3562)(1547, 3563)(1548, 3564)(1549, 3565)(1550, 3566)(1551, 3567)(1552, 3568)(1553, 3569)(1554, 3570)(1555, 3571)(1556, 3572)(1557, 3573)(1558, 3574)(1559, 3575)(1560, 3576)(1561, 3577)(1562, 3578)(1563, 3579)(1564, 3580)(1565, 3581)(1566, 3582)(1567, 3583)(1568, 3584)(1569, 3585)(1570, 3586)(1571, 3587)(1572, 3588)(1573, 3589)(1574, 3590)(1575, 3591)(1576, 3592)(1577, 3593)(1578, 3594)(1579, 3595)(1580, 3596)(1581, 3597)(1582, 3598)(1583, 3599)(1584, 3600)(1585, 3601)(1586, 3602)(1587, 3603)(1588, 3604)(1589, 3605)(1590, 3606)(1591, 3607)(1592, 3608)(1593, 3609)(1594, 3610)(1595, 3611)(1596, 3612)(1597, 3613)(1598, 3614)(1599, 3615)(1600, 3616)(1601, 3617)(1602, 3618)(1603, 3619)(1604, 3620)(1605, 3621)(1606, 3622)(1607, 3623)(1608, 3624)(1609, 3625)(1610, 3626)(1611, 3627)(1612, 3628)(1613, 3629)(1614, 3630)(1615, 3631)(1616, 3632)(1617, 3633)(1618, 3634)(1619, 3635)(1620, 3636)(1621, 3637)(1622, 3638)(1623, 3639)(1624, 3640)(1625, 3641)(1626, 3642)(1627, 3643)(1628, 3644)(1629, 3645)(1630, 3646)(1631, 3647)(1632, 3648)(1633, 3649)(1634, 3650)(1635, 3651)(1636, 3652)(1637, 3653)(1638, 3654)(1639, 3655)(1640, 3656)(1641, 3657)(1642, 3658)(1643, 3659)(1644, 3660)(1645, 3661)(1646, 3662)(1647, 3663)(1648, 3664)(1649, 3665)(1650, 3666)(1651, 3667)(1652, 3668)(1653, 3669)(1654, 3670)(1655, 3671)(1656, 3672)(1657, 3673)(1658, 3674)(1659, 3675)(1660, 3676)(1661, 3677)(1662, 3678)(1663, 3679)(1664, 3680)(1665, 3681)(1666, 3682)(1667, 3683)(1668, 3684)(1669, 3685)(1670, 3686)(1671, 3687)(1672, 3688)(1673, 3689)(1674, 3690)(1675, 3691)(1676, 3692)(1677, 3693)(1678, 3694)(1679, 3695)(1680, 3696)(1681, 3697)(1682, 3698)(1683, 3699)(1684, 3700)(1685, 3701)(1686, 3702)(1687, 3703)(1688, 3704)(1689, 3705)(1690, 3706)(1691, 3707)(1692, 3708)(1693, 3709)(1694, 3710)(1695, 3711)(1696, 3712)(1697, 3713)(1698, 3714)(1699, 3715)(1700, 3716)(1701, 3717)(1702, 3718)(1703, 3719)(1704, 3720)(1705, 3721)(1706, 3722)(1707, 3723)(1708, 3724)(1709, 3725)(1710, 3726)(1711, 3727)(1712, 3728)(1713, 3729)(1714, 3730)(1715, 3731)(1716, 3732)(1717, 3733)(1718, 3734)(1719, 3735)(1720, 3736)(1721, 3737)(1722, 3738)(1723, 3739)(1724, 3740)(1725, 3741)(1726, 3742)(1727, 3743)(1728, 3744)(1729, 3745)(1730, 3746)(1731, 3747)(1732, 3748)(1733, 3749)(1734, 3750)(1735, 3751)(1736, 3752)(1737, 3753)(1738, 3754)(1739, 3755)(1740, 3756)(1741, 3757)(1742, 3758)(1743, 3759)(1744, 3760)(1745, 3761)(1746, 3762)(1747, 3763)(1748, 3764)(1749, 3765)(1750, 3766)(1751, 3767)(1752, 3768)(1753, 3769)(1754, 3770)(1755, 3771)(1756, 3772)(1757, 3773)(1758, 3774)(1759, 3775)(1760, 3776)(1761, 3777)(1762, 3778)(1763, 3779)(1764, 3780)(1765, 3781)(1766, 3782)(1767, 3783)(1768, 3784)(1769, 3785)(1770, 3786)(1771, 3787)(1772, 3788)(1773, 3789)(1774, 3790)(1775, 3791)(1776, 3792)(1777, 3793)(1778, 3794)(1779, 3795)(1780, 3796)(1781, 3797)(1782, 3798)(1783, 3799)(1784, 3800)(1785, 3801)(1786, 3802)(1787, 3803)(1788, 3804)(1789, 3805)(1790, 3806)(1791, 3807)(1792, 3808)(1793, 3809)(1794, 3810)(1795, 3811)(1796, 3812)(1797, 3813)(1798, 3814)(1799, 3815)(1800, 3816)(1801, 3817)(1802, 3818)(1803, 3819)(1804, 3820)(1805, 3821)(1806, 3822)(1807, 3823)(1808, 3824)(1809, 3825)(1810, 3826)(1811, 3827)(1812, 3828)(1813, 3829)(1814, 3830)(1815, 3831)(1816, 3832)(1817, 3833)(1818, 3834)(1819, 3835)(1820, 3836)(1821, 3837)(1822, 3838)(1823, 3839)(1824, 3840)(1825, 3841)(1826, 3842)(1827, 3843)(1828, 3844)(1829, 3845)(1830, 3846)(1831, 3847)(1832, 3848)(1833, 3849)(1834, 3850)(1835, 3851)(1836, 3852)(1837, 3853)(1838, 3854)(1839, 3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	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 E22.1778
Graph:: simple bipartite
	v = 1134 e = 2016 f = 840
	degree seq :: [ 2^1008, 16^126 ]

E22.1785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1)^3, Y1^8, (Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1)^2, Y3 * Y1^-4 * Y3 * Y1^-2 * Y3 * Y1^4 * Y3 * Y1^-3 * Y3 * Y1^2 * Y3 * Y1^-3, (Y3 * Y1^3 * Y3 * Y1^-3)^3 ]
Map:: polytopal
	R = (1, 1009, 2, 1010, 5, 1013, 11, 1019, 21, 1029, 20, 1028, 10, 1018, 4, 1012)(3, 1011, 7, 1015, 15, 1023, 27, 1035, 45, 1053, 31, 1039, 17, 1025, 8, 1016)(6, 1014, 13, 1021, 25, 1033, 41, 1049, 66, 1074, 44, 1052, 26, 1034, 14, 1022)(9, 1017, 18, 1026, 32, 1040, 52, 1060, 77, 1085, 49, 1057, 29, 1037, 16, 1024)(12, 1020, 23, 1031, 39, 1047, 62, 1070, 95, 1103, 65, 1073, 40, 1048, 24, 1032)(19, 1027, 34, 1042, 55, 1063, 85, 1093, 126, 1134, 84, 1092, 54, 1062, 33, 1041)(22, 1030, 37, 1045, 60, 1068, 91, 1099, 137, 1145, 94, 1102, 61, 1069, 38, 1046)(28, 1036, 47, 1055, 74, 1082, 111, 1119, 165, 1173, 114, 1122, 75, 1083, 48, 1056)(30, 1038, 50, 1058, 78, 1086, 117, 1125, 154, 1162, 103, 1111, 68, 1076, 42, 1050)(35, 1043, 57, 1065, 88, 1096, 131, 1139, 192, 1200, 130, 1138, 87, 1095, 56, 1064)(36, 1044, 58, 1066, 89, 1097, 133, 1141, 195, 1203, 136, 1144, 90, 1098, 59, 1067)(43, 1051, 69, 1077, 104, 1112, 155, 1163, 212, 1220, 145, 1153, 97, 1105, 63, 1071)(46, 1054, 72, 1080, 109, 1117, 161, 1169, 235, 1243, 164, 1172, 110, 1118, 73, 1081)(51, 1059, 80, 1088, 120, 1128, 177, 1185, 256, 1264, 176, 1184, 119, 1127, 79, 1087)(53, 1061, 82, 1090, 123, 1131, 181, 1189, 263, 1271, 184, 1192, 124, 1132, 83, 1091)(64, 1072, 98, 1106, 146, 1154, 213, 1221, 294, 1302, 203, 1211, 139, 1147, 92, 1100)(67, 1075, 101, 1109, 151, 1159, 219, 1227, 317, 1325, 222, 1230, 152, 1160, 102, 1110)(70, 1078, 106, 1114, 158, 1166, 229, 1237, 330, 1338, 228, 1236, 157, 1165, 105, 1113)(71, 1079, 107, 1115, 159, 1167, 231, 1239, 333, 1341, 234, 1242, 160, 1168, 108, 1116)(76, 1084, 115, 1123, 170, 1178, 247, 1255, 350, 1358, 243, 1251, 167, 1175, 112, 1120)(81, 1089, 121, 1129, 179, 1187, 259, 1267, 372, 1380, 262, 1270, 180, 1188, 122, 1130)(86, 1094, 128, 1136, 189, 1197, 273, 1281, 392, 1400, 276, 1284, 190, 1198, 129, 1137)(93, 1101, 140, 1148, 204, 1212, 295, 1303, 409, 1417, 285, 1293, 197, 1205, 134, 1142)(96, 1104, 143, 1151, 209, 1217, 301, 1309, 432, 1440, 304, 1312, 210, 1218, 144, 1152)(99, 1107, 148, 1156, 216, 1224, 311, 1319, 445, 1453, 310, 1318, 215, 1223, 147, 1155)(100, 1108, 149, 1157, 217, 1225, 313, 1321, 448, 1456, 316, 1324, 218, 1226, 150, 1158)(113, 1121, 168, 1176, 244, 1252, 351, 1359, 486, 1494, 341, 1349, 237, 1245, 162, 1170)(116, 1124, 172, 1180, 250, 1258, 359, 1367, 506, 1514, 358, 1366, 249, 1257, 171, 1179)(118, 1126, 174, 1182, 253, 1261, 363, 1371, 513, 1521, 366, 1374, 254, 1262, 175, 1183)(125, 1133, 185, 1193, 268, 1276, 384, 1392, 534, 1542, 380, 1388, 265, 1273, 182, 1190)(127, 1135, 187, 1195, 271, 1279, 388, 1396, 541, 1549, 391, 1399, 272, 1280, 188, 1196)(132, 1140, 135, 1143, 198, 1206, 286, 1294, 410, 1418, 403, 1411, 281, 1289, 194, 1202)(138, 1146, 201, 1209, 291, 1299, 416, 1424, 576, 1584, 419, 1427, 292, 1300, 202, 1210)(141, 1149, 206, 1214, 298, 1306, 426, 1434, 587, 1595, 425, 1433, 297, 1305, 205, 1213)(142, 1150, 207, 1215, 299, 1307, 428, 1436, 590, 1598, 431, 1439, 300, 1308, 208, 1216)(153, 1161, 223, 1231, 322, 1330, 460, 1468, 625, 1633, 456, 1464, 319, 1327, 220, 1228)(156, 1164, 226, 1234, 327, 1335, 466, 1474, 634, 1642, 469, 1477, 328, 1336, 227, 1235)(163, 1171, 238, 1246, 342, 1350, 487, 1495, 646, 1654, 478, 1486, 335, 1343, 232, 1240)(166, 1174, 241, 1249, 347, 1355, 493, 1501, 660, 1668, 496, 1504, 348, 1356, 242, 1250)(169, 1177, 246, 1254, 354, 1362, 500, 1508, 573, 1581, 418, 1426, 353, 1361, 245, 1253)(173, 1181, 251, 1259, 361, 1369, 509, 1517, 675, 1683, 512, 1520, 362, 1370, 252, 1260)(178, 1186, 233, 1241, 336, 1344, 479, 1487, 583, 1591, 422, 1430, 371, 1379, 258, 1266)(183, 1191, 266, 1274, 381, 1389, 517, 1525, 683, 1691, 525, 1533, 374, 1382, 260, 1268)(186, 1194, 270, 1278, 387, 1395, 539, 1547, 701, 1709, 538, 1546, 386, 1394, 269, 1277)(191, 1199, 277, 1285, 397, 1405, 551, 1559, 710, 1718, 548, 1556, 394, 1402, 274, 1282)(193, 1201, 279, 1287, 400, 1408, 554, 1562, 714, 1722, 557, 1565, 401, 1409, 280, 1288)(196, 1204, 283, 1291, 406, 1414, 560, 1568, 720, 1728, 563, 1571, 407, 1415, 284, 1292)(199, 1207, 288, 1296, 413, 1421, 570, 1578, 730, 1738, 569, 1577, 412, 1420, 287, 1295)(200, 1208, 289, 1297, 414, 1422, 572, 1580, 732, 1740, 575, 1583, 415, 1423, 290, 1298)(211, 1219, 305, 1313, 437, 1445, 601, 1609, 758, 1766, 598, 1606, 434, 1442, 302, 1310)(214, 1222, 308, 1316, 442, 1450, 606, 1614, 764, 1772, 609, 1617, 443, 1451, 309, 1317)(221, 1229, 320, 1328, 457, 1465, 396, 1404, 550, 1558, 617, 1625, 450, 1458, 314, 1322)(224, 1232, 324, 1332, 463, 1471, 629, 1637, 717, 1725, 562, 1570, 462, 1470, 323, 1331)(225, 1233, 325, 1333, 464, 1472, 385, 1393, 537, 1545, 633, 1641, 465, 1473, 326, 1334)(230, 1238, 315, 1323, 451, 1459, 618, 1626, 726, 1734, 566, 1574, 474, 1482, 332, 1340)(236, 1244, 339, 1347, 484, 1492, 650, 1658, 766, 1774, 607, 1615, 444, 1452, 340, 1348)(239, 1247, 344, 1352, 490, 1498, 588, 1596, 748, 1756, 655, 1663, 489, 1497, 343, 1351)(240, 1248, 345, 1353, 491, 1499, 571, 1579, 718, 1726, 659, 1667, 492, 1500, 346, 1354)(248, 1256, 356, 1364, 504, 1512, 605, 1613, 441, 1449, 307, 1315, 440, 1448, 357, 1365)(255, 1263, 367, 1375, 518, 1526, 684, 1692, 826, 1834, 682, 1690, 515, 1523, 364, 1372)(257, 1265, 369, 1377, 521, 1529, 602, 1610, 760, 1768, 688, 1696, 522, 1530, 370, 1378)(261, 1269, 375, 1383, 526, 1534, 565, 1573, 725, 1733, 674, 1682, 508, 1516, 360, 1368)(264, 1272, 378, 1386, 531, 1539, 694, 1702, 833, 1841, 696, 1704, 532, 1540, 379, 1387)(267, 1275, 383, 1391, 535, 1543, 592, 1600, 429, 1437, 303, 1311, 435, 1443, 382, 1390)(275, 1283, 395, 1403, 549, 1557, 663, 1671, 810, 1818, 704, 1712, 542, 1550, 389, 1397)(278, 1286, 399, 1407, 553, 1561, 712, 1720, 846, 1854, 711, 1719, 552, 1560, 398, 1406)(282, 1290, 404, 1412, 558, 1566, 716, 1724, 849, 1857, 719, 1727, 559, 1567, 405, 1413)(293, 1301, 420, 1428, 580, 1588, 741, 1749, 867, 1875, 739, 1747, 578, 1586, 417, 1425)(296, 1304, 423, 1431, 584, 1592, 744, 1752, 869, 1877, 746, 1754, 585, 1593, 424, 1432)(306, 1314, 439, 1447, 604, 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3938)(2931, 3939)(2932, 3940)(2933, 3941)(2934, 3942)(2935, 3943)(2936, 3944)(2937, 3945)(2938, 3946)(2939, 3947)(2940, 3948)(2941, 3949)(2942, 3950)(2943, 3951)(2944, 3952)(2945, 3953)(2946, 3954)(2947, 3955)(2948, 3956)(2949, 3957)(2950, 3958)(2951, 3959)(2952, 3960)(2953, 3961)(2954, 3962)(2955, 3963)(2956, 3964)(2957, 3965)(2958, 3966)(2959, 3967)(2960, 3968)(2961, 3969)(2962, 3970)(2963, 3971)(2964, 3972)(2965, 3973)(2966, 3974)(2967, 3975)(2968, 3976)(2969, 3977)(2970, 3978)(2971, 3979)(2972, 3980)(2973, 3981)(2974, 3982)(2975, 3983)(2976, 3984)(2977, 3985)(2978, 3986)(2979, 3987)(2980, 3988)(2981, 3989)(2982, 3990)(2983, 3991)(2984, 3992)(2985, 3993)(2986, 3994)(2987, 3995)(2988, 3996)(2989, 3997)(2990, 3998)(2991, 3999)(2992, 4000)(2993, 4001)(2994, 4002)(2995, 4003)(2996, 4004)(2997, 4005)(2998, 4006)(2999, 4007)(3000, 4008)(3001, 4009)(3002, 4010)(3003, 4011)(3004, 4012)(3005, 4013)(3006, 4014)(3007, 4015)(3008, 4016)(3009, 4017)(3010, 4018)(3011, 4019)(3012, 4020)(3013, 4021)(3014, 4022)(3015, 4023)(3016, 4024)(3017, 4025)(3018, 4026)(3019, 4027)(3020, 4028)(3021, 4029)(3022, 4030)(3023, 4031)(3024, 4032)
	L = (1, 2019)(2, 2022)(3, 2017)(4, 2025)(5, 2028)(6, 2018)(7, 2032)(8, 2029)(9, 2020)(10, 2035)(11, 2038)(12, 2021)(13, 2024)(14, 2039)(15, 2044)(16, 2023)(17, 2046)(18, 2049)(19, 2026)(20, 2051)(21, 2052)(22, 2027)(23, 2030)(24, 2053)(25, 2058)(26, 2059)(27, 2062)(28, 2031)(29, 2063)(30, 2033)(31, 2067)(32, 2069)(33, 2034)(34, 2072)(35, 2036)(36, 2037)(37, 2040)(38, 2074)(39, 2079)(40, 2080)(41, 2083)(42, 2041)(43, 2042)(44, 2086)(45, 2087)(46, 2043)(47, 2045)(48, 2088)(49, 2092)(50, 2095)(51, 2047)(52, 2097)(53, 2048)(54, 2098)(55, 2102)(56, 2050)(57, 2075)(58, 2054)(59, 2073)(60, 2108)(61, 2109)(62, 2112)(63, 2055)(64, 2056)(65, 2115)(66, 2116)(67, 2057)(68, 2117)(69, 2121)(70, 2060)(71, 2061)(72, 2064)(73, 2123)(74, 2128)(75, 2129)(76, 2065)(77, 2132)(78, 2134)(79, 2066)(80, 2124)(81, 2068)(82, 2070)(83, 2137)(84, 2141)(85, 2143)(86, 2071)(87, 2144)(88, 2148)(89, 2150)(90, 2151)(91, 2154)(92, 2076)(93, 2077)(94, 2157)(95, 2158)(96, 2078)(97, 2159)(98, 2163)(99, 2081)(100, 2082)(101, 2084)(102, 2165)(103, 2169)(104, 2172)(105, 2085)(106, 2166)(107, 2089)(108, 2096)(109, 2178)(110, 2179)(111, 2182)(112, 2090)(113, 2091)(114, 2185)(115, 2187)(116, 2093)(117, 2189)(118, 2094)(119, 2190)(120, 2194)(121, 2099)(122, 2188)(123, 2198)(124, 2199)(125, 2100)(126, 2202)(127, 2101)(128, 2103)(129, 2203)(130, 2207)(131, 2209)(132, 2104)(133, 2212)(134, 2105)(135, 2106)(136, 2215)(137, 2216)(138, 2107)(139, 2217)(140, 2221)(141, 2110)(142, 2111)(143, 2113)(144, 2223)(145, 2227)(146, 2230)(147, 2114)(148, 2224)(149, 2118)(150, 2122)(151, 2236)(152, 2237)(153, 2119)(154, 2240)(155, 2241)(156, 2120)(157, 2242)(158, 2246)(159, 2248)(160, 2249)(161, 2252)(162, 2125)(163, 2126)(164, 2255)(165, 2256)(166, 2127)(167, 2257)(168, 2261)(169, 2130)(170, 2264)(171, 2131)(172, 2138)(173, 2133)(174, 2135)(175, 2267)(176, 2271)(177, 2273)(178, 2136)(179, 2276)(180, 2277)(181, 2280)(182, 2139)(183, 2140)(184, 2283)(185, 2285)(186, 2142)(187, 2145)(188, 2286)(189, 2290)(190, 2291)(191, 2146)(192, 2294)(193, 2147)(194, 2295)(195, 2298)(196, 2149)(197, 2299)(198, 2303)(199, 2152)(200, 2153)(201, 2155)(202, 2305)(203, 2309)(204, 2312)(205, 2156)(206, 2306)(207, 2160)(208, 2164)(209, 2318)(210, 2319)(211, 2161)(212, 2322)(213, 2323)(214, 2162)(215, 2324)(216, 2328)(217, 2330)(218, 2331)(219, 2334)(220, 2167)(221, 2168)(222, 2337)(223, 2339)(224, 2170)(225, 2171)(226, 2173)(227, 2341)(228, 2345)(229, 2347)(230, 2174)(231, 2350)(232, 2175)(233, 2176)(234, 2353)(235, 2354)(236, 2177)(237, 2355)(238, 2359)(239, 2180)(240, 2181)(241, 2183)(242, 2361)(243, 2365)(244, 2368)(245, 2184)(246, 2362)(247, 2371)(248, 2186)(249, 2372)(250, 2376)(251, 2191)(252, 2340)(253, 2380)(254, 2381)(255, 2192)(256, 2384)(257, 2193)(258, 2385)(259, 2389)(260, 2195)(261, 2196)(262, 2392)(263, 2393)(264, 2197)(265, 2394)(266, 2398)(267, 2200)(268, 2401)(269, 2201)(270, 2204)(271, 2405)(272, 2406)(273, 2409)(274, 2205)(275, 2206)(276, 2412)(277, 2414)(278, 2208)(279, 2210)(280, 2415)(281, 2418)(282, 2211)(283, 2213)(284, 2420)(285, 2424)(286, 2427)(287, 2214)(288, 2421)(289, 2218)(290, 2222)(291, 2433)(292, 2434)(293, 2219)(294, 2437)(295, 2438)(296, 2220)(297, 2439)(298, 2443)(299, 2445)(300, 2446)(301, 2449)(302, 2225)(303, 2226)(304, 2452)(305, 2454)(306, 2228)(307, 2229)(308, 2231)(309, 2456)(310, 2460)(311, 2462)(312, 2232)(313, 2465)(314, 2233)(315, 2234)(316, 2468)(317, 2469)(318, 2235)(319, 2470)(320, 2474)(321, 2238)(322, 2477)(323, 2239)(324, 2268)(325, 2243)(326, 2455)(327, 2483)(328, 2484)(329, 2244)(330, 2487)(331, 2245)(332, 2488)(333, 2491)(334, 2247)(335, 2492)(336, 2496)(337, 2250)(338, 2251)(339, 2253)(340, 2498)(341, 2501)(342, 2504)(343, 2254)(344, 2499)(345, 2258)(346, 2262)(347, 2510)(348, 2511)(349, 2259)(350, 2514)(351, 2485)(352, 2260)(353, 2515)(354, 2517)(355, 2263)(356, 2265)(357, 2518)(358, 2521)(359, 2523)(360, 2266)(361, 2526)(362, 2527)(363, 2530)(364, 2269)(365, 2270)(366, 2533)(367, 2535)(368, 2272)(369, 2274)(370, 2536)(371, 2440)(372, 2539)(373, 2275)(374, 2540)(375, 2543)(376, 2278)(377, 2279)(378, 2281)(379, 2545)(380, 2549)(381, 2532)(382, 2282)(383, 2546)(384, 2552)(385, 2284)(386, 2553)(387, 2556)(388, 2534)(389, 2287)(390, 2288)(391, 2560)(392, 2561)(393, 2289)(394, 2562)(395, 2473)(396, 2292)(397, 2525)(398, 2293)(399, 2296)(400, 2571)(401, 2572)(402, 2297)(403, 2503)(404, 2300)(405, 2304)(406, 2577)(407, 2578)(408, 2301)(409, 2581)(410, 2582)(411, 2302)(412, 2583)(413, 2587)(414, 2589)(415, 2590)(416, 2593)(417, 2307)(418, 2308)(419, 2595)(420, 2597)(421, 2310)(422, 2311)(423, 2313)(424, 2387)(425, 2602)(426, 2604)(427, 2314)(428, 2607)(429, 2315)(430, 2316)(431, 2610)(432, 2611)(433, 2317)(434, 2612)(435, 2615)(436, 2320)(437, 2618)(438, 2321)(439, 2342)(440, 2325)(441, 2598)(442, 2623)(443, 2624)(444, 2326)(445, 2626)(446, 2327)(447, 2627)(448, 2630)(449, 2329)(450, 2631)(451, 2635)(452, 2332)(453, 2333)(454, 2335)(455, 2637)(456, 2640)(457, 2411)(458, 2336)(459, 2638)(460, 2625)(461, 2338)(462, 2644)(463, 2646)(464, 2647)(465, 2648)(466, 2651)(467, 2343)(468, 2344)(469, 2367)(470, 2653)(471, 2346)(472, 2348)(473, 2654)(474, 2584)(475, 2349)(476, 2351)(477, 2657)(478, 2661)(479, 2663)(480, 2352)(481, 2658)(482, 2356)(483, 2360)(484, 2667)(485, 2357)(486, 2669)(487, 2419)(488, 2358)(489, 2670)(490, 2672)(491, 2673)(492, 2674)(493, 2677)(494, 2363)(495, 2364)(496, 2679)(497, 2681)(498, 2366)(499, 2369)(500, 2683)(501, 2370)(502, 2373)(503, 2682)(504, 2686)(505, 2374)(506, 2687)(507, 2375)(508, 2688)(509, 2413)(510, 2377)(511, 2378)(512, 2694)(513, 2695)(514, 2379)(515, 2696)(516, 2397)(517, 2382)(518, 2404)(519, 2383)(520, 2386)(521, 2601)(522, 2703)(523, 2388)(524, 2390)(525, 2707)(526, 2580)(527, 2391)(528, 2705)(529, 2395)(530, 2399)(531, 2711)(532, 2671)(533, 2396)(534, 2714)(535, 2715)(536, 2400)(537, 2402)(538, 2660)(539, 2718)(540, 2403)(541, 2701)(542, 2700)(543, 2721)(544, 2407)(545, 2408)(546, 2410)(547, 2629)(548, 2725)(549, 2642)(550, 2722)(551, 2692)(552, 2691)(553, 2729)(554, 2680)(555, 2416)(556, 2417)(557, 2704)(558, 2733)(559, 2734)(560, 2737)(561, 2422)(562, 2423)(563, 2739)(564, 2542)(565, 2425)(566, 2426)(567, 2428)(568, 2490)(569, 2745)(570, 2747)(571, 2429)(572, 2749)(573, 2430)(574, 2431)(575, 2751)(576, 2752)(577, 2432)(578, 2753)(579, 2435)(580, 2758)(581, 2436)(582, 2457)(583, 2741)(584, 2761)(585, 2537)(586, 2441)(587, 2763)(588, 2442)(589, 2764)(590, 2765)(591, 2444)(592, 2766)(593, 2768)(594, 2447)(595, 2448)(596, 2450)(597, 2770)(598, 2773)(599, 2451)(600, 2771)(601, 2762)(602, 2453)(603, 2776)(604, 2778)(605, 2779)(606, 2781)(607, 2458)(608, 2459)(609, 2476)(610, 2461)(611, 2463)(612, 2783)(613, 2563)(614, 2464)(615, 2466)(616, 2785)(617, 2788)(618, 2789)(619, 2467)(620, 2786)(621, 2471)(622, 2475)(623, 2793)(624, 2472)(625, 2795)(626, 2565)(627, 2796)(628, 2478)(629, 2797)(630, 2479)(631, 2480)(632, 2481)(633, 2800)(634, 2801)(635, 2482)(636, 2802)(637, 2486)(638, 2489)(639, 2744)(640, 2806)(641, 2493)(642, 2497)(643, 2809)(644, 2554)(645, 2494)(646, 2742)(647, 2495)(648, 2810)(649, 2813)(650, 2815)(651, 2500)(652, 2818)(653, 2502)(654, 2505)(655, 2548)(656, 2506)(657, 2507)(658, 2508)(659, 2821)(660, 2822)(661, 2509)(662, 2823)(663, 2512)(664, 2570)(665, 2513)(666, 2519)(667, 2516)(668, 2830)(669, 2832)(670, 2520)(671, 2522)(672, 2524)(673, 2834)(674, 2811)(675, 2568)(676, 2567)(677, 2837)(678, 2528)(679, 2529)(680, 2531)(681, 2831)(682, 2841)(683, 2838)(684, 2558)(685, 2557)(686, 2844)(687, 2538)(688, 2573)(689, 2544)(690, 2846)(691, 2541)(692, 2740)(693, 2848)(694, 2850)(695, 2547)(696, 2819)(697, 2852)(698, 2550)(699, 2551)(700, 2853)(701, 2807)(702, 2555)(703, 2855)(704, 2857)(705, 2559)(706, 2566)(707, 2859)(708, 2784)(709, 2564)(710, 2861)(711, 2836)(712, 2863)(713, 2569)(714, 2828)(715, 2827)(716, 2866)(717, 2574)(718, 2575)(719, 2867)(720, 2868)(721, 2576)(722, 2869)(723, 2579)(724, 2708)(725, 2599)(726, 2662)(727, 2873)(728, 2655)(729, 2585)(730, 2875)(731, 2586)(732, 2876)(733, 2588)(734, 2877)(735, 2591)(736, 2592)(737, 2594)(738, 2879)(739, 2882)(740, 2880)(741, 2874)(742, 2596)(743, 2884)(744, 2886)(745, 2600)(746, 2617)(747, 2603)(748, 2605)(749, 2606)(750, 2608)(751, 2890)(752, 2609)(753, 2888)(754, 2613)(755, 2616)(756, 2894)(757, 2614)(758, 2896)(759, 2897)(760, 2619)(761, 2898)(762, 2620)(763, 2621)(764, 2901)(765, 2622)(766, 2902)(767, 2628)(768, 2724)(769, 2632)(770, 2636)(771, 2906)(772, 2633)(773, 2634)(774, 2907)(775, 2909)(776, 2911)(777, 2639)(778, 2914)(779, 2641)(780, 2643)(781, 2645)(782, 2915)(783, 2917)(784, 2649)(785, 2650)(786, 2652)(787, 2916)(788, 2920)(789, 2922)(790, 2656)(791, 2717)(792, 2913)(793, 2659)(794, 2664)(795, 2690)(796, 2927)(797, 2665)(798, 2928)(799, 2666)(800, 2929)(801, 2933)(802, 2668)(803, 2712)(804, 2936)(805, 2675)(806, 2676)(807, 2678)(808, 2937)(809, 2940)(810, 2938)(811, 2731)(812, 2730)(813, 2943)(814, 2684)(815, 2697)(816, 2685)(817, 2900)(818, 2689)(819, 2926)(820, 2727)(821, 2693)(822, 2699)(823, 2946)(824, 2908)(825, 2698)(826, 2948)(827, 2949)(828, 2702)(829, 2904)(830, 2706)(831, 2935)(832, 2709)(833, 2953)(834, 2710)(835, 2954)(836, 2713)(837, 2716)(838, 2889)(839, 2719)(840, 2923)(841, 2720)(842, 2961)(843, 2723)(844, 2871)(845, 2726)(846, 2944)(847, 2728)(848, 2963)(849, 2964)(850, 2732)(851, 2735)(852, 2736)(853, 2738)(854, 2966)(855, 2860)(856, 2969)(857, 2743)(858, 2757)(859, 2746)(860, 2748)(861, 2750)(862, 2971)(863, 2754)(864, 2756)(865, 2975)(866, 2755)(867, 2977)(868, 2759)(869, 2979)(870, 2760)(871, 2980)(872, 2769)(873, 2854)(874, 2767)(875, 2982)(876, 2984)(877, 2986)(878, 2772)(879, 2989)(880, 2774)(881, 2775)(882, 2777)(883, 2990)(884, 2833)(885, 2780)(886, 2782)(887, 2991)(888, 2845)(889, 2988)(890, 2787)(891, 2790)(892, 2840)(893, 2791)(894, 2996)(895, 2792)(896, 2997)(897, 2808)(898, 2794)(899, 2798)(900, 2803)(901, 2799)(902, 3002)(903, 2983)(904, 2804)(905, 3004)(906, 2805)(907, 2856)(908, 3000)(909, 2976)(910, 2835)(911, 2812)(912, 2814)(913, 2816)(914, 2992)(915, 2970)(916, 3006)(917, 2817)(918, 3007)(919, 2847)(920, 2820)(921, 2824)(922, 2826)(923, 3010)(924, 2825)(925, 3001)(926, 3011)(927, 2829)(928, 2862)(929, 2965)(930, 2839)(931, 2995)(932, 2842)(933, 2843)(934, 2998)(935, 3008)(936, 2972)(937, 2849)(938, 2851)(939, 2994)(940, 3013)(941, 2973)(942, 2978)(943, 3009)(944, 3005)(945, 2858)(946, 2999)(947, 2864)(948, 2865)(949, 2945)(950, 2870)(951, 3014)(952, 3015)(953, 2872)(954, 2931)(955, 2878)(956, 2952)(957, 2957)(958, 3018)(959, 2881)(960, 2925)(961, 2883)(962, 2958)(963, 2885)(964, 2887)(965, 3019)(966, 2891)(967, 2919)(968, 2892)(969, 3021)(970, 2893)(971, 3022)(972, 2905)(973, 2895)(974, 2899)(975, 2903)(976, 2930)(977, 3016)(978, 2955)(979, 2947)(980, 2910)(981, 2912)(982, 2950)(983, 2962)(984, 2924)(985, 2941)(986, 2918)(987, 3020)(988, 2921)(989, 2960)(990, 2932)(991, 2934)(992, 2951)(993, 2959)(994, 2939)(995, 2942)(996, 3023)(997, 2956)(998, 2967)(999, 2968)(1000, 2993)(1001, 3024)(1002, 2974)(1003, 2981)(1004, 3003)(1005, 2985)(1006, 2987)(1007, 3012)(1008, 3017)(1009, 3025)(1010, 3026)(1011, 3027)(1012, 3028)(1013, 3029)(1014, 3030)(1015, 3031)(1016, 3032)(1017, 3033)(1018, 3034)(1019, 3035)(1020, 3036)(1021, 3037)(1022, 3038)(1023, 3039)(1024, 3040)(1025, 3041)(1026, 3042)(1027, 3043)(1028, 3044)(1029, 3045)(1030, 3046)(1031, 3047)(1032, 3048)(1033, 3049)(1034, 3050)(1035, 3051)(1036, 3052)(1037, 3053)(1038, 3054)(1039, 3055)(1040, 3056)(1041, 3057)(1042, 3058)(1043, 3059)(1044, 3060)(1045, 3061)(1046, 3062)(1047, 3063)(1048, 3064)(1049, 3065)(1050, 3066)(1051, 3067)(1052, 3068)(1053, 3069)(1054, 3070)(1055, 3071)(1056, 3072)(1057, 3073)(1058, 3074)(1059, 3075)(1060, 3076)(1061, 3077)(1062, 3078)(1063, 3079)(1064, 3080)(1065, 3081)(1066, 3082)(1067, 3083)(1068, 3084)(1069, 3085)(1070, 3086)(1071, 3087)(1072, 3088)(1073, 3089)(1074, 3090)(1075, 3091)(1076, 3092)(1077, 3093)(1078, 3094)(1079, 3095)(1080, 3096)(1081, 3097)(1082, 3098)(1083, 3099)(1084, 3100)(1085, 3101)(1086, 3102)(1087, 3103)(1088, 3104)(1089, 3105)(1090, 3106)(1091, 3107)(1092, 3108)(1093, 3109)(1094, 3110)(1095, 3111)(1096, 3112)(1097, 3113)(1098, 3114)(1099, 3115)(1100, 3116)(1101, 3117)(1102, 3118)(1103, 3119)(1104, 3120)(1105, 3121)(1106, 3122)(1107, 3123)(1108, 3124)(1109, 3125)(1110, 3126)(1111, 3127)(1112, 3128)(1113, 3129)(1114, 3130)(1115, 3131)(1116, 3132)(1117, 3133)(1118, 3134)(1119, 3135)(1120, 3136)(1121, 3137)(1122, 3138)(1123, 3139)(1124, 3140)(1125, 3141)(1126, 3142)(1127, 3143)(1128, 3144)(1129, 3145)(1130, 3146)(1131, 3147)(1132, 3148)(1133, 3149)(1134, 3150)(1135, 3151)(1136, 3152)(1137, 3153)(1138, 3154)(1139, 3155)(1140, 3156)(1141, 3157)(1142, 3158)(1143, 3159)(1144, 3160)(1145, 3161)(1146, 3162)(1147, 3163)(1148, 3164)(1149, 3165)(1150, 3166)(1151, 3167)(1152, 3168)(1153, 3169)(1154, 3170)(1155, 3171)(1156, 3172)(1157, 3173)(1158, 3174)(1159, 3175)(1160, 3176)(1161, 3177)(1162, 3178)(1163, 3179)(1164, 3180)(1165, 3181)(1166, 3182)(1167, 3183)(1168, 3184)(1169, 3185)(1170, 3186)(1171, 3187)(1172, 3188)(1173, 3189)(1174, 3190)(1175, 3191)(1176, 3192)(1177, 3193)(1178, 3194)(1179, 3195)(1180, 3196)(1181, 3197)(1182, 3198)(1183, 3199)(1184, 3200)(1185, 3201)(1186, 3202)(1187, 3203)(1188, 3204)(1189, 3205)(1190, 3206)(1191, 3207)(1192, 3208)(1193, 3209)(1194, 3210)(1195, 3211)(1196, 3212)(1197, 3213)(1198, 3214)(1199, 3215)(1200, 3216)(1201, 3217)(1202, 3218)(1203, 3219)(1204, 3220)(1205, 3221)(1206, 3222)(1207, 3223)(1208, 3224)(1209, 3225)(1210, 3226)(1211, 3227)(1212, 3228)(1213, 3229)(1214, 3230)(1215, 3231)(1216, 3232)(1217, 3233)(1218, 3234)(1219, 3235)(1220, 3236)(1221, 3237)(1222, 3238)(1223, 3239)(1224, 3240)(1225, 3241)(1226, 3242)(1227, 3243)(1228, 3244)(1229, 3245)(1230, 3246)(1231, 3247)(1232, 3248)(1233, 3249)(1234, 3250)(1235, 3251)(1236, 3252)(1237, 3253)(1238, 3254)(1239, 3255)(1240, 3256)(1241, 3257)(1242, 3258)(1243, 3259)(1244, 3260)(1245, 3261)(1246, 3262)(1247, 3263)(1248, 3264)(1249, 3265)(1250, 3266)(1251, 3267)(1252, 3268)(1253, 3269)(1254, 3270)(1255, 3271)(1256, 3272)(1257, 3273)(1258, 3274)(1259, 3275)(1260, 3276)(1261, 3277)(1262, 3278)(1263, 3279)(1264, 3280)(1265, 3281)(1266, 3282)(1267, 3283)(1268, 3284)(1269, 3285)(1270, 3286)(1271, 3287)(1272, 3288)(1273, 3289)(1274, 3290)(1275, 3291)(1276, 3292)(1277, 3293)(1278, 3294)(1279, 3295)(1280, 3296)(1281, 3297)(1282, 3298)(1283, 3299)(1284, 3300)(1285, 3301)(1286, 3302)(1287, 3303)(1288, 3304)(1289, 3305)(1290, 3306)(1291, 3307)(1292, 3308)(1293, 3309)(1294, 3310)(1295, 3311)(1296, 3312)(1297, 3313)(1298, 3314)(1299, 3315)(1300, 3316)(1301, 3317)(1302, 3318)(1303, 3319)(1304, 3320)(1305, 3321)(1306, 3322)(1307, 3323)(1308, 3324)(1309, 3325)(1310, 3326)(1311, 3327)(1312, 3328)(1313, 3329)(1314, 3330)(1315, 3331)(1316, 3332)(1317, 3333)(1318, 3334)(1319, 3335)(1320, 3336)(1321, 3337)(1322, 3338)(1323, 3339)(1324, 3340)(1325, 3341)(1326, 3342)(1327, 3343)(1328, 3344)(1329, 3345)(1330, 3346)(1331, 3347)(1332, 3348)(1333, 3349)(1334, 3350)(1335, 3351)(1336, 3352)(1337, 3353)(1338, 3354)(1339, 3355)(1340, 3356)(1341, 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3523)(1508, 3524)(1509, 3525)(1510, 3526)(1511, 3527)(1512, 3528)(1513, 3529)(1514, 3530)(1515, 3531)(1516, 3532)(1517, 3533)(1518, 3534)(1519, 3535)(1520, 3536)(1521, 3537)(1522, 3538)(1523, 3539)(1524, 3540)(1525, 3541)(1526, 3542)(1527, 3543)(1528, 3544)(1529, 3545)(1530, 3546)(1531, 3547)(1532, 3548)(1533, 3549)(1534, 3550)(1535, 3551)(1536, 3552)(1537, 3553)(1538, 3554)(1539, 3555)(1540, 3556)(1541, 3557)(1542, 3558)(1543, 3559)(1544, 3560)(1545, 3561)(1546, 3562)(1547, 3563)(1548, 3564)(1549, 3565)(1550, 3566)(1551, 3567)(1552, 3568)(1553, 3569)(1554, 3570)(1555, 3571)(1556, 3572)(1557, 3573)(1558, 3574)(1559, 3575)(1560, 3576)(1561, 3577)(1562, 3578)(1563, 3579)(1564, 3580)(1565, 3581)(1566, 3582)(1567, 3583)(1568, 3584)(1569, 3585)(1570, 3586)(1571, 3587)(1572, 3588)(1573, 3589)(1574, 3590)(1575, 3591)(1576, 3592)(1577, 3593)(1578, 3594)(1579, 3595)(1580, 3596)(1581, 3597)(1582, 3598)(1583, 3599)(1584, 3600)(1585, 3601)(1586, 3602)(1587, 3603)(1588, 3604)(1589, 3605)(1590, 3606)(1591, 3607)(1592, 3608)(1593, 3609)(1594, 3610)(1595, 3611)(1596, 3612)(1597, 3613)(1598, 3614)(1599, 3615)(1600, 3616)(1601, 3617)(1602, 3618)(1603, 3619)(1604, 3620)(1605, 3621)(1606, 3622)(1607, 3623)(1608, 3624)(1609, 3625)(1610, 3626)(1611, 3627)(1612, 3628)(1613, 3629)(1614, 3630)(1615, 3631)(1616, 3632)(1617, 3633)(1618, 3634)(1619, 3635)(1620, 3636)(1621, 3637)(1622, 3638)(1623, 3639)(1624, 3640)(1625, 3641)(1626, 3642)(1627, 3643)(1628, 3644)(1629, 3645)(1630, 3646)(1631, 3647)(1632, 3648)(1633, 3649)(1634, 3650)(1635, 3651)(1636, 3652)(1637, 3653)(1638, 3654)(1639, 3655)(1640, 3656)(1641, 3657)(1642, 3658)(1643, 3659)(1644, 3660)(1645, 3661)(1646, 3662)(1647, 3663)(1648, 3664)(1649, 3665)(1650, 3666)(1651, 3667)(1652, 3668)(1653, 3669)(1654, 3670)(1655, 3671)(1656, 3672)(1657, 3673)(1658, 3674)(1659, 3675)(1660, 3676)(1661, 3677)(1662, 3678)(1663, 3679)(1664, 3680)(1665, 3681)(1666, 3682)(1667, 3683)(1668, 3684)(1669, 3685)(1670, 3686)(1671, 3687)(1672, 3688)(1673, 3689)(1674, 3690)(1675, 3691)(1676, 3692)(1677, 3693)(1678, 3694)(1679, 3695)(1680, 3696)(1681, 3697)(1682, 3698)(1683, 3699)(1684, 3700)(1685, 3701)(1686, 3702)(1687, 3703)(1688, 3704)(1689, 3705)(1690, 3706)(1691, 3707)(1692, 3708)(1693, 3709)(1694, 3710)(1695, 3711)(1696, 3712)(1697, 3713)(1698, 3714)(1699, 3715)(1700, 3716)(1701, 3717)(1702, 3718)(1703, 3719)(1704, 3720)(1705, 3721)(1706, 3722)(1707, 3723)(1708, 3724)(1709, 3725)(1710, 3726)(1711, 3727)(1712, 3728)(1713, 3729)(1714, 3730)(1715, 3731)(1716, 3732)(1717, 3733)(1718, 3734)(1719, 3735)(1720, 3736)(1721, 3737)(1722, 3738)(1723, 3739)(1724, 3740)(1725, 3741)(1726, 3742)(1727, 3743)(1728, 3744)(1729, 3745)(1730, 3746)(1731, 3747)(1732, 3748)(1733, 3749)(1734, 3750)(1735, 3751)(1736, 3752)(1737, 3753)(1738, 3754)(1739, 3755)(1740, 3756)(1741, 3757)(1742, 3758)(1743, 3759)(1744, 3760)(1745, 3761)(1746, 3762)(1747, 3763)(1748, 3764)(1749, 3765)(1750, 3766)(1751, 3767)(1752, 3768)(1753, 3769)(1754, 3770)(1755, 3771)(1756, 3772)(1757, 3773)(1758, 3774)(1759, 3775)(1760, 3776)(1761, 3777)(1762, 3778)(1763, 3779)(1764, 3780)(1765, 3781)(1766, 3782)(1767, 3783)(1768, 3784)(1769, 3785)(1770, 3786)(1771, 3787)(1772, 3788)(1773, 3789)(1774, 3790)(1775, 3791)(1776, 3792)(1777, 3793)(1778, 3794)(1779, 3795)(1780, 3796)(1781, 3797)(1782, 3798)(1783, 3799)(1784, 3800)(1785, 3801)(1786, 3802)(1787, 3803)(1788, 3804)(1789, 3805)(1790, 3806)(1791, 3807)(1792, 3808)(1793, 3809)(1794, 3810)(1795, 3811)(1796, 3812)(1797, 3813)(1798, 3814)(1799, 3815)(1800, 3816)(1801, 3817)(1802, 3818)(1803, 3819)(1804, 3820)(1805, 3821)(1806, 3822)(1807, 3823)(1808, 3824)(1809, 3825)(1810, 3826)(1811, 3827)(1812, 3828)(1813, 3829)(1814, 3830)(1815, 3831)(1816, 3832)(1817, 3833)(1818, 3834)(1819, 3835)(1820, 3836)(1821, 3837)(1822, 3838)(1823, 3839)(1824, 3840)(1825, 3841)(1826, 3842)(1827, 3843)(1828, 3844)(1829, 3845)(1830, 3846)(1831, 3847)(1832, 3848)(1833, 3849)(1834, 3850)(1835, 3851)(1836, 3852)(1837, 3853)(1838, 3854)(1839, 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3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	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 E22.1779
Graph:: simple bipartite
	v = 1134 e = 2016 f = 840
	degree seq :: [ 2^1008, 16^126 ]

E22.1786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^8, (Y2^2 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1)^2, (Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-1)^3, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 1009, 2, 1010)(3, 1011, 7, 1015)(4, 1012, 9, 1017)(5, 1013, 11, 1019)(6, 1014, 13, 1021)(8, 1016, 16, 1024)(10, 1018, 19, 1027)(12, 1020, 22, 1030)(14, 1022, 25, 1033)(15, 1023, 27, 1035)(17, 1025, 30, 1038)(18, 1026, 32, 1040)(20, 1028, 35, 1043)(21, 1029, 36, 1044)(23, 1031, 39, 1047)(24, 1032, 41, 1049)(26, 1034, 44, 1052)(28, 1036, 46, 1054)(29, 1037, 48, 1056)(31, 1039, 51, 1059)(33, 1041, 53, 1061)(34, 1042, 55, 1063)(37, 1045, 59, 1067)(38, 1046, 61, 1069)(40, 1048, 64, 1072)(42, 1050, 66, 1074)(43, 1051, 68, 1076)(45, 1053, 71, 1079)(47, 1055, 74, 1082)(49, 1057, 76, 1084)(50, 1058, 78, 1086)(52, 1060, 81, 1089)(54, 1062, 84, 1092)(56, 1064, 86, 1094)(57, 1065, 80, 1088)(58, 1066, 89, 1097)(60, 1068, 92, 1100)(62, 1070, 94, 1102)(63, 1071, 96, 1104)(65, 1073, 99, 1107)(67, 1075, 102, 1110)(69, 1077, 104, 1112)(70, 1078, 98, 1106)(72, 1080, 108, 1116)(73, 1081, 110, 1118)(75, 1083, 113, 1121)(77, 1085, 116, 1124)(79, 1087, 118, 1126)(82, 1090, 122, 1130)(83, 1091, 124, 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3340)(2240, 3248, 2340, 3348, 2479, 3487, 2645, 3653, 2797, 3805, 2641, 3649, 2475, 3483, 2338, 3346)(2246, 3254, 2346, 3354, 2487, 3495, 2654, 3662, 2806, 3814, 2656, 3664, 2490, 3498, 2348, 3356)(2248, 3256, 2351, 3359, 2495, 3503, 2662, 3670, 2809, 3817, 2658, 3666, 2491, 3499, 2349, 3357)(2256, 3264, 2360, 3368, 2507, 3515, 2393, 3401, 2545, 3553, 2674, 3682, 2508, 3516, 2362, 3370)(2257, 3265, 2336, 3344, 2473, 3481, 2638, 3646, 2770, 3778, 2677, 3685, 2510, 3518, 2363, 3371)(2262, 3270, 2368, 3376, 2516, 3524, 2685, 3693, 2831, 3839, 2687, 3695, 2518, 3526, 2370, 3378)(2264, 3272, 2371, 3379, 2519, 3527, 2688, 3696, 2787, 3795, 2630, 3638, 2521, 3529, 2373, 3381)(2268, 3276, 2377, 3385, 2525, 3533, 2693, 3701, 2838, 3846, 2697, 3705, 2529, 3537, 2379, 3387)(2274, 3282, 2387, 3395, 2538, 3546, 2704, 3712, 2844, 3852, 2703, 3711, 2535, 3543, 2385, 3393)(2276, 3284, 2388, 3396, 2539, 3547, 2706, 3714, 2847, 3855, 2709, 3717, 2543, 3551, 2390, 3398)(2284, 3292, 2401, 3409, 2553, 3561, 2664, 3672, 2497, 3505, 2354, 3362, 2499, 3507, 2399, 3407)(2285, 3293, 2402, 3410, 2555, 3563, 2695, 3703, 2752, 3760, 2593, 3601, 2434, 3442, 2308, 3316)(2290, 3298, 2409, 3417, 2563, 3571, 2727, 3735, 2861, 3869, 2725, 3733, 2561, 3569, 2407, 3415)(2292, 3300, 2412, 3420, 2566, 3574, 2583, 3591, 2741, 3749, 2728, 3736, 2564, 3572, 2410, 3418)(2299, 3307, 2422, 3430, 2578, 3586, 2737, 3745, 2867, 3875, 2733, 3741, 2574, 3582, 2420, 3428)(2307, 3315, 2431, 3439, 2590, 3598, 2464, 3472, 2628, 3636, 2749, 3757, 2591, 3599, 2433, 3441)(2313, 3321, 2439, 3447, 2599, 3607, 2760, 3768, 2889, 3897, 2762, 3770, 2601, 3609, 2441, 3449)(2315, 3323, 2442, 3450, 2602, 3610, 2763, 3771, 2712, 3720, 2547, 3555, 2604, 3612, 2444, 3452)(2319, 3327, 2448, 3456, 2608, 3616, 2768, 3776, 2896, 3904, 2772, 3780, 2612, 3620, 2450, 3458)(2325, 3333, 2458, 3466, 2621, 3629, 2779, 3787, 2902, 3910, 2778, 3786, 2618, 3626, 2456, 3464)(2327, 3335, 2459, 3467, 2622, 3630, 2781, 3789, 2905, 3913, 2784, 3792, 2626, 3634, 2461, 3469)(2335, 3343, 2472, 3480, 2636, 3644, 2739, 3747, 2580, 3588, 2425, 3433, 2582, 3590, 2470, 3478)(2341, 3349, 2480, 3488, 2646, 3654, 2802, 3810, 2919, 3927, 2800, 3808, 2644, 3652, 2478, 3486)(2343, 3351, 2483, 3491, 2649, 3657, 2500, 3508, 2666, 3674, 2803, 3811, 2647, 3655, 2481, 3489)(2352, 3360, 2496, 3504, 2663, 3671, 2814, 3822, 2726, 3734, 2572, 3580, 2661, 3669, 2494, 3502)(2358, 3366, 2505, 3513, 2397, 3405, 2550, 3558, 2715, 3723, 2819, 3827, 2669, 3677, 2503, 3511)(2364, 3372, 2509, 3517, 2675, 3683, 2824, 3832, 2729, 3737, 2569, 3577, 2678, 3686, 2511, 3519)(2366, 3374, 2514, 3522, 2683, 3691, 2829, 3837, 2939, 3947, 2826, 3834, 2679, 3687, 2512, 3520)(2375, 3383, 2501, 3509, 2667, 3675, 2816, 3824, 2724, 3732, 2560, 3568, 2690, 3698, 2523, 3531)(2380, 3388, 2528, 3536, 2696, 3704, 2840, 3848, 2947, 3955, 2841, 3849, 2698, 3706, 2530, 3538)(2382, 3390, 2531, 3539, 2699, 3707, 2842, 3850, 2922, 3930, 2805, 3813, 2653, 3661, 2488, 3496)(2391, 3399, 2542, 3550, 2701, 3709, 2533, 3541, 2686, 3694, 2832, 3840, 2710, 3718, 2544, 3552)(2403, 3411, 2556, 3564, 2691, 3699, 2524, 3532, 2689, 3697, 2835, 3843, 2719, 3727, 2554, 3562)(2405, 3413, 2557, 3565, 2720, 3728, 2858, 3866, 2961, 3969, 2860, 3868, 2723, 3731, 2559, 3567)(2414, 3422, 2568, 3576, 2682, 3690, 2515, 3523, 2684, 3692, 2830, 3838, 2713, 3721, 2548, 3556)(2417, 3425, 2453, 3461, 2614, 3622, 2774, 3782, 2900, 3908, 2864, 3872, 2730, 3738, 2570, 3578)(2423, 3431, 2579, 3587, 2738, 3746, 2872, 3880, 2801, 3809, 2655, 3663, 2736, 3744, 2577, 3585)(2429, 3437, 2588, 3596, 2468, 3476, 2633, 3641, 2790, 3798, 2877, 3885, 2744, 3752, 2586, 3594)(2435, 3443, 2592, 3600, 2750, 3758, 2882, 3890, 2804, 3812, 2652, 3660, 2753, 3761, 2594, 3602)(2437, 3445, 2597, 3605, 2758, 3766, 2887, 3895, 2980, 3988, 2884, 3892, 2754, 3762, 2595, 3603)(2446, 3454, 2584, 3592, 2742, 3750, 2874, 3882, 2799, 3807, 2643, 3651, 2765, 3773, 2606, 3614)(2451, 3459, 2611, 3619, 2771, 3779, 2898, 3906, 2988, 3996, 2899, 3907, 2773, 3781, 2613, 3621)(2462, 3470, 2625, 3633, 2776, 3784, 2616, 3624, 2761, 3769, 2890, 3898, 2785, 3793, 2627, 3635)(2474, 3482, 2639, 3647, 2766, 3774, 2607, 3615, 2764, 3772, 2893, 3901, 2794, 3802, 2637, 3645)(2476, 3484, 2640, 3648, 2795, 3803, 2916, 3924, 3002, 4010, 2918, 3926, 2798, 3806, 2642, 3650)(2485, 3493, 2651, 3659, 2757, 3765, 2598, 3606, 2759, 3767, 2888, 3896, 2788, 3796, 2631, 3639)(2492, 3500, 2657, 3665, 2807, 3815, 2924, 3932, 2979, 3987, 2927, 3935, 2811, 3819, 2659, 3667)(2506, 3514, 2672, 3680, 2821, 3829, 2935, 3943, 2855, 3863, 2717, 3725, 2552, 3560, 2671, 3679)(2526, 3534, 2694, 3702, 2839, 3847, 2946, 3954, 3012, 4020, 2945, 3953, 2836, 3844, 2692, 3700)(2536, 3544, 2702, 3710, 2843, 3851, 2949, 3957, 3008, 4016, 2936, 3944, 2823, 3831, 2676, 3684)(2540, 3548, 2707, 3715, 2837, 3845, 2944, 3952, 3001, 4009, 2951, 3959, 2845, 3853, 2705, 3713)(2575, 3583, 2732, 3740, 2865, 3873, 2965, 3973, 2938, 3946, 2968, 3976, 2869, 3877, 2734, 3742)(2589, 3597, 2747, 3755, 2879, 3887, 2976, 3984, 2913, 3921, 2792, 3800, 2635, 3643, 2746, 3754)(2609, 3617, 2769, 3777, 2897, 3905, 2987, 3995, 3021, 4029, 2986, 3994, 2894, 3902, 2767, 3775)(2619, 3627, 2777, 3785, 2901, 3909, 2990, 3998, 3017, 4025, 2977, 3985, 2881, 3889, 2751, 3759)(2623, 3631, 2782, 3790, 2895, 3903, 2985, 3993, 2960, 3968, 2992, 4000, 2903, 3911, 2780, 3788)(2660, 3668, 2810, 3818, 2914, 3922, 2793, 3801, 2908, 3916, 2996, 4004, 2928, 3936, 2812, 3820)(2668, 3676, 2817, 3825, 2910, 3918, 2789, 3797, 2909, 3917, 2997, 4005, 2931, 3939, 2815, 3823)(2670, 3678, 2818, 3826, 2932, 3940, 2967, 3975, 2963, 3971, 3007, 4015, 2934, 3942, 2820, 3828)(2673, 3681, 2822, 3830, 2906, 3914, 2783, 3791, 2907, 3915, 2995, 4003, 2929, 3937, 2813, 3821)(2680, 3688, 2825, 3833, 2937, 3945, 3009, 4017, 2959, 3967, 2857, 3865, 2721, 3729, 2827, 3835)(2708, 3716, 2849, 3857, 2954, 3962, 2970, 3978, 2871, 3879, 2748, 3756, 2880, 3888, 2848, 3856)(2714, 3722, 2851, 3859, 2956, 3964, 2972, 3980, 2873, 3881, 2743, 3751, 2875, 3883, 2852, 3860)(2716, 3724, 2854, 3862, 2958, 3966, 3013, 4021, 2948, 3956, 2994, 4002, 2957, 3965, 2853, 3861)(2718, 3726, 2850, 3858, 2955, 3963, 2969, 3977, 2870, 3878, 2735, 3743, 2868, 3876, 2856, 3864)(2745, 3753, 2876, 3884, 2973, 3981, 2926, 3934, 3004, 4012, 3016, 4024, 2975, 3983, 2878, 3886)(2755, 3763, 2883, 3891, 2978, 3986, 3018, 4026, 3000, 4008, 2915, 3923, 2796, 3804, 2885, 3893)(2791, 3799, 2912, 3920, 2999, 4007, 3022, 4030, 2989, 3997, 2953, 3961, 2998, 4006, 2911, 3919)(2808, 3816, 2925, 3933, 2974, 3982, 2952, 3960, 2846, 3854, 2950, 3958, 3005, 4013, 2923, 3931)(2828, 3836, 2940, 3948, 2859, 3867, 2921, 3929, 3003, 4011, 3020, 4028, 2984, 3992, 2892, 3900)(2833, 3841, 2942, 3950, 2862, 3870, 2930, 3938, 3006, 4014, 3023, 4031, 3010, 4018, 2941, 3949)(2834, 3842, 2886, 3894, 2981, 3989, 2917, 3925, 2863, 3871, 2962, 3970, 3011, 4019, 2943, 3951)(2866, 3874, 2966, 3974, 2933, 3941, 2993, 4001, 2904, 3912, 2991, 3999, 3014, 4022, 2964, 3972)(2891, 3899, 2983, 3991, 2920, 3928, 2971, 3979, 3015, 4023, 3024, 4032, 3019, 4027, 2982, 3990)
	L = (1, 2018)(2, 2017)(3, 2023)(4, 2025)(5, 2027)(6, 2029)(7, 2019)(8, 2032)(9, 2020)(10, 2035)(11, 2021)(12, 2038)(13, 2022)(14, 2041)(15, 2043)(16, 2024)(17, 2046)(18, 2048)(19, 2026)(20, 2051)(21, 2052)(22, 2028)(23, 2055)(24, 2057)(25, 2030)(26, 2060)(27, 2031)(28, 2062)(29, 2064)(30, 2033)(31, 2067)(32, 2034)(33, 2069)(34, 2071)(35, 2036)(36, 2037)(37, 2075)(38, 2077)(39, 2039)(40, 2080)(41, 2040)(42, 2082)(43, 2084)(44, 2042)(45, 2087)(46, 2044)(47, 2090)(48, 2045)(49, 2092)(50, 2094)(51, 2047)(52, 2097)(53, 2049)(54, 2100)(55, 2050)(56, 2102)(57, 2096)(58, 2105)(59, 2053)(60, 2108)(61, 2054)(62, 2110)(63, 2112)(64, 2056)(65, 2115)(66, 2058)(67, 2118)(68, 2059)(69, 2120)(70, 2114)(71, 2061)(72, 2124)(73, 2126)(74, 2063)(75, 2129)(76, 2065)(77, 2132)(78, 2066)(79, 2134)(80, 2073)(81, 2068)(82, 2138)(83, 2140)(84, 2070)(85, 2143)(86, 2072)(87, 2146)(88, 2147)(89, 2074)(90, 2150)(91, 2152)(92, 2076)(93, 2155)(94, 2078)(95, 2158)(96, 2079)(97, 2160)(98, 2086)(99, 2081)(100, 2164)(101, 2166)(102, 2083)(103, 2169)(104, 2085)(105, 2172)(106, 2173)(107, 2175)(108, 2088)(109, 2178)(110, 2089)(111, 2180)(112, 2168)(113, 2091)(114, 2184)(115, 2186)(116, 2093)(117, 2189)(118, 2095)(119, 2192)(120, 2193)(121, 2195)(122, 2098)(123, 2198)(124, 2099)(125, 2200)(126, 2154)(127, 2101)(128, 2204)(129, 2206)(130, 2103)(131, 2104)(132, 2210)(133, 2211)(134, 2106)(135, 2214)(136, 2107)(137, 2216)(138, 2142)(139, 2109)(140, 2220)(141, 2222)(142, 2111)(143, 2225)(144, 2113)(145, 2228)(146, 2229)(147, 2231)(148, 2116)(149, 2234)(150, 2117)(151, 2236)(152, 2128)(153, 2119)(154, 2240)(155, 2242)(156, 2121)(157, 2122)(158, 2246)(159, 2123)(160, 2248)(161, 2250)(162, 2125)(163, 2253)(164, 2127)(165, 2256)(166, 2257)(167, 2259)(168, 2130)(169, 2262)(170, 2131)(171, 2264)(172, 2252)(173, 2133)(174, 2268)(175, 2270)(176, 2135)(177, 2136)(178, 2274)(179, 2137)(180, 2276)(181, 2278)(182, 2139)(183, 2281)(184, 2141)(185, 2284)(186, 2285)(187, 2287)(188, 2144)(189, 2290)(190, 2145)(191, 2292)(192, 2280)(193, 2295)(194, 2148)(195, 2149)(196, 2299)(197, 2301)(198, 2151)(199, 2304)(200, 2153)(201, 2307)(202, 2308)(203, 2310)(204, 2156)(205, 2313)(206, 2157)(207, 2315)(208, 2303)(209, 2159)(210, 2319)(211, 2321)(212, 2161)(213, 2162)(214, 2325)(215, 2163)(216, 2327)(217, 2329)(218, 2165)(219, 2332)(220, 2167)(221, 2335)(222, 2336)(223, 2338)(224, 2170)(225, 2341)(226, 2171)(227, 2343)(228, 2331)(229, 2346)(230, 2174)(231, 2349)(232, 2176)(233, 2352)(234, 2177)(235, 2354)(236, 2188)(237, 2179)(238, 2358)(239, 2360)(240, 2181)(241, 2182)(242, 2364)(243, 2183)(244, 2366)(245, 2368)(246, 2185)(247, 2371)(248, 2187)(249, 2374)(250, 2375)(251, 2377)(252, 2190)(253, 2380)(254, 2191)(255, 2382)(256, 2370)(257, 2385)(258, 2194)(259, 2388)(260, 2196)(261, 2391)(262, 2197)(263, 2393)(264, 2208)(265, 2199)(266, 2397)(267, 2399)(268, 2201)(269, 2202)(270, 2403)(271, 2203)(272, 2405)(273, 2407)(274, 2205)(275, 2410)(276, 2207)(277, 2413)(278, 2414)(279, 2209)(280, 2417)(281, 2409)(282, 2420)(283, 2212)(284, 2423)(285, 2213)(286, 2425)(287, 2224)(288, 2215)(289, 2429)(290, 2431)(291, 2217)(292, 2218)(293, 2435)(294, 2219)(295, 2437)(296, 2439)(297, 2221)(298, 2442)(299, 2223)(300, 2445)(301, 2446)(302, 2448)(303, 2226)(304, 2451)(305, 2227)(306, 2453)(307, 2441)(308, 2456)(309, 2230)(310, 2459)(311, 2232)(312, 2462)(313, 2233)(314, 2464)(315, 2244)(316, 2235)(317, 2468)(318, 2470)(319, 2237)(320, 2238)(321, 2474)(322, 2239)(323, 2476)(324, 2478)(325, 2241)(326, 2481)(327, 2243)(328, 2484)(329, 2485)(330, 2245)(331, 2488)(332, 2480)(333, 2247)(334, 2492)(335, 2494)(336, 2249)(337, 2497)(338, 2251)(339, 2500)(340, 2501)(341, 2503)(342, 2254)(343, 2506)(344, 2255)(345, 2444)(346, 2496)(347, 2509)(348, 2258)(349, 2512)(350, 2260)(351, 2515)(352, 2261)(353, 2443)(354, 2272)(355, 2263)(356, 2440)(357, 2432)(358, 2265)(359, 2266)(360, 2524)(361, 2267)(362, 2526)(363, 2528)(364, 2269)(365, 2531)(366, 2271)(367, 2489)(368, 2533)(369, 2273)(370, 2536)(371, 2530)(372, 2275)(373, 2540)(374, 2542)(375, 2277)(376, 2545)(377, 2279)(378, 2547)(379, 2548)(380, 2550)(381, 2282)(382, 2552)(383, 2283)(384, 2483)(385, 2544)(386, 2554)(387, 2286)(388, 2557)(389, 2288)(390, 2560)(391, 2289)(392, 2482)(393, 2297)(394, 2291)(395, 2479)(396, 2471)(397, 2293)(398, 2294)(399, 2569)(400, 2570)(401, 2296)(402, 2454)(403, 2572)(404, 2298)(405, 2575)(406, 2577)(407, 2300)(408, 2580)(409, 2302)(410, 2583)(411, 2584)(412, 2586)(413, 2305)(414, 2589)(415, 2306)(416, 2373)(417, 2579)(418, 2592)(419, 2309)(420, 2595)(421, 2311)(422, 2598)(423, 2312)(424, 2372)(425, 2323)(426, 2314)(427, 2369)(428, 2361)(429, 2316)(430, 2317)(431, 2607)(432, 2318)(433, 2609)(434, 2611)(435, 2320)(436, 2614)(437, 2322)(438, 2418)(439, 2616)(440, 2324)(441, 2619)(442, 2613)(443, 2326)(444, 2623)(445, 2625)(446, 2328)(447, 2628)(448, 2330)(449, 2630)(450, 2631)(451, 2633)(452, 2333)(453, 2635)(454, 2334)(455, 2412)(456, 2627)(457, 2637)(458, 2337)(459, 2640)(460, 2339)(461, 2643)(462, 2340)(463, 2411)(464, 2348)(465, 2342)(466, 2408)(467, 2400)(468, 2344)(469, 2345)(470, 2652)(471, 2653)(472, 2347)(473, 2383)(474, 2655)(475, 2657)(476, 2350)(477, 2660)(478, 2351)(479, 2654)(480, 2362)(481, 2353)(482, 2621)(483, 2649)(484, 2355)(485, 2356)(486, 2668)(487, 2357)(488, 2670)(489, 2671)(490, 2359)(491, 2604)(492, 2673)(493, 2363)(494, 2676)(495, 2672)(496, 2365)(497, 2680)(498, 2682)(499, 2367)(500, 2603)(501, 2602)(502, 2686)(503, 2600)(504, 2599)(505, 2590)(506, 2684)(507, 2689)(508, 2376)(509, 2692)(510, 2378)(511, 2695)(512, 2379)(513, 2629)(514, 2387)(515, 2381)(516, 2626)(517, 2384)(518, 2617)(519, 2702)(520, 2386)(521, 2677)(522, 2581)(523, 2705)(524, 2389)(525, 2708)(526, 2390)(527, 2615)(528, 2401)(529, 2392)(530, 2612)(531, 2394)(532, 2395)(533, 2714)(534, 2396)(535, 2716)(536, 2398)(537, 2718)(538, 2402)(539, 2694)(540, 2717)(541, 2404)(542, 2721)(543, 2690)(544, 2406)(545, 2648)(546, 2647)(547, 2726)(548, 2645)(549, 2644)(550, 2582)(551, 2724)(552, 2729)(553, 2415)(554, 2416)(555, 2578)(556, 2419)(557, 2656)(558, 2732)(559, 2421)(560, 2735)(561, 2422)(562, 2571)(563, 2433)(564, 2424)(565, 2538)(566, 2566)(567, 2426)(568, 2427)(569, 2743)(570, 2428)(571, 2745)(572, 2746)(573, 2430)(574, 2521)(575, 2748)(576, 2434)(577, 2751)(578, 2747)(579, 2436)(580, 2755)(581, 2757)(582, 2438)(583, 2520)(584, 2519)(585, 2761)(586, 2517)(587, 2516)(588, 2507)(589, 2759)(590, 2764)(591, 2447)(592, 2767)(593, 2449)(594, 2770)(595, 2450)(596, 2546)(597, 2458)(598, 2452)(599, 2543)(600, 2455)(601, 2534)(602, 2777)(603, 2457)(604, 2752)(605, 2498)(606, 2780)(607, 2460)(608, 2783)(609, 2461)(610, 2532)(611, 2472)(612, 2463)(613, 2529)(614, 2465)(615, 2466)(616, 2789)(617, 2467)(618, 2791)(619, 2469)(620, 2793)(621, 2473)(622, 2769)(623, 2792)(624, 2475)(625, 2796)(626, 2765)(627, 2477)(628, 2565)(629, 2564)(630, 2801)(631, 2562)(632, 2561)(633, 2499)(634, 2799)(635, 2804)(636, 2486)(637, 2487)(638, 2495)(639, 2490)(640, 2573)(641, 2491)(642, 2808)(643, 2810)(644, 2493)(645, 2806)(646, 2805)(647, 2813)(648, 2779)(649, 2773)(650, 2812)(651, 2815)(652, 2502)(653, 2818)(654, 2504)(655, 2505)(656, 2511)(657, 2508)(658, 2772)(659, 2823)(660, 2510)(661, 2537)(662, 2800)(663, 2825)(664, 2513)(665, 2828)(666, 2514)(667, 2824)(668, 2522)(669, 2766)(670, 2518)(671, 2833)(672, 2834)(673, 2523)(674, 2559)(675, 2760)(676, 2525)(677, 2837)(678, 2555)(679, 2527)(680, 2786)(681, 2749)(682, 2740)(683, 2784)(684, 2776)(685, 2775)(686, 2535)(687, 2811)(688, 2739)(689, 2539)(690, 2846)(691, 2848)(692, 2541)(693, 2774)(694, 2850)(695, 2771)(696, 2849)(697, 2851)(698, 2549)(699, 2853)(700, 2551)(701, 2556)(702, 2553)(703, 2839)(704, 2857)(705, 2558)(706, 2859)(707, 2835)(708, 2567)(709, 2753)(710, 2563)(711, 2862)(712, 2863)(713, 2568)(714, 2737)(715, 2736)(716, 2574)(717, 2866)(718, 2868)(719, 2576)(720, 2731)(721, 2730)(722, 2871)(723, 2704)(724, 2698)(725, 2870)(726, 2873)(727, 2585)(728, 2876)(729, 2587)(730, 2588)(731, 2594)(732, 2591)(733, 2697)(734, 2881)(735, 2593)(736, 2620)(737, 2725)(738, 2883)(739, 2596)(740, 2886)(741, 2597)(742, 2882)(743, 2605)(744, 2691)(745, 2601)(746, 2891)(747, 2892)(748, 2606)(749, 2642)(750, 2685)(751, 2608)(752, 2895)(753, 2638)(754, 2610)(755, 2711)(756, 2674)(757, 2665)(758, 2709)(759, 2701)(760, 2700)(761, 2618)(762, 2869)(763, 2664)(764, 2622)(765, 2904)(766, 2906)(767, 2624)(768, 2699)(769, 2908)(770, 2696)(771, 2907)(772, 2909)(773, 2632)(774, 2911)(775, 2634)(776, 2639)(777, 2636)(778, 2897)(779, 2915)(780, 2641)(781, 2917)(782, 2893)(783, 2650)(784, 2678)(785, 2646)(786, 2920)(787, 2921)(788, 2651)(789, 2662)(790, 2661)(791, 2923)(792, 2658)(793, 2926)(794, 2659)(795, 2703)(796, 2666)(797, 2663)(798, 2930)(799, 2667)(800, 2912)(801, 2899)(802, 2669)(803, 2933)(804, 2888)(805, 2919)(806, 2896)(807, 2675)(808, 2683)(809, 2679)(810, 2938)(811, 2940)(812, 2681)(813, 2936)(814, 2878)(815, 2913)(816, 2941)(817, 2687)(818, 2688)(819, 2723)(820, 2944)(821, 2693)(822, 2880)(823, 2719)(824, 2910)(825, 2875)(826, 2948)(827, 2927)(828, 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4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	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 E22.1788
Graph:: bipartite
	v = 630 e = 2016 f = 1344
	degree seq :: [ 4^504, 16^126 ]

E22.1787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3, Y2^8, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^3, Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 1009, 2, 1010)(3, 1011, 7, 1015)(4, 1012, 9, 1017)(5, 1013, 11, 1019)(6, 1014, 13, 1021)(8, 1016, 16, 1024)(10, 1018, 19, 1027)(12, 1020, 22, 1030)(14, 1022, 25, 1033)(15, 1023, 27, 1035)(17, 1025, 30, 1038)(18, 1026, 32, 1040)(20, 1028, 35, 1043)(21, 1029, 36, 1044)(23, 1031, 39, 1047)(24, 1032, 41, 1049)(26, 1034, 44, 1052)(28, 1036, 46, 1054)(29, 1037, 48, 1056)(31, 1039, 51, 1059)(33, 1041, 53, 1061)(34, 1042, 55, 1063)(37, 1045, 59, 1067)(38, 1046, 61, 1069)(40, 1048, 64, 1072)(42, 1050, 66, 1074)(43, 1051, 68, 1076)(45, 1053, 71, 1079)(47, 1055, 74, 1082)(49, 1057, 76, 1084)(50, 1058, 78, 1086)(52, 1060, 81, 1089)(54, 1062, 84, 1092)(56, 1064, 86, 1094)(57, 1065, 80, 1088)(58, 1066, 89, 1097)(60, 1068, 92, 1100)(62, 1070, 94, 1102)(63, 1071, 96, 1104)(65, 1073, 99, 1107)(67, 1075, 102, 1110)(69, 1077, 104, 1112)(70, 1078, 98, 1106)(72, 1080, 108, 1116)(73, 1081, 110, 1118)(75, 1083, 113, 1121)(77, 1085, 116, 1124)(79, 1087, 118, 1126)(82, 1090, 122, 1130)(83, 1091, 124, 1132)(85, 1093, 127, 1135)(87, 1095, 130, 1138)(88, 1096, 131, 1139)(90, 1098, 134, 1142)(91, 1099, 136, 1144)(93, 1101, 139, 1147)(95, 1103, 142, 1150)(97, 1105, 144, 1152)(100, 1108, 148, 1156)(101, 1109, 150, 1158)(103, 1111, 153, 1161)(105, 1113, 156, 1164)(106, 1114, 157, 1165)(107, 1115, 159, 1167)(109, 1117, 162, 1170)(111, 1119, 164, 1172)(112, 1120, 152, 1160)(114, 1122, 168, 1176)(115, 1123, 170, 1178)(117, 1125, 173, 1181)(119, 1127, 176, 1184)(120, 1128, 177, 1185)(121, 1129, 179, 1187)(123, 1131, 182, 1190)(125, 1133, 184, 1192)(126, 1134, 138, 1146)(128, 1136, 188, 1196)(129, 1137, 190, 1198)(132, 1140, 194, 1202)(133, 1141, 195, 1203)(135, 1143, 198, 1206)(137, 1145, 200, 1208)(140, 1148, 204, 1212)(141, 1149, 206, 1214)(143, 1151, 209, 1217)(145, 1153, 212, 1220)(146, 1154, 213, 1221)(147, 1155, 215, 1223)(149, 1157, 218, 1226)(151, 1159, 220, 1228)(154, 1162, 224, 1232)(155, 1163, 226, 1234)(158, 1166, 230, 1238)(160, 1168, 232, 1240)(161, 1169, 234, 1242)(163, 1171, 237, 1245)(165, 1173, 240, 1248)(166, 1174, 241, 1249)(167, 1175, 243, 1251)(169, 1177, 246, 1254)(171, 1179, 207, 1215)(172, 1180, 236, 1244)(174, 1182, 251, 1259)(175, 1183, 253, 1261)(178, 1186, 257, 1265)(180, 1188, 259, 1267)(181, 1189, 261, 1269)(183, 1191, 264, 1272)(185, 1193, 266, 1274)(186, 1194, 267, 1275)(187, 1195, 269, 1277)(189, 1197, 272, 1280)(191, 1199, 227, 1235)(192, 1200, 263, 1271)(193, 1201, 276, 1284)(196, 1204, 280, 1288)(197, 1205, 282, 1290)(199, 1207, 285, 1293)(201, 1209, 288, 1296)(202, 1210, 289, 1297)(203, 1211, 291, 1299)(205, 1213, 294, 1302)(208, 1216, 284, 1292)(210, 1218, 299, 1307)(211, 1219, 301, 1309)(214, 1222, 305, 1313)(216, 1224, 307, 1315)(217, 1225, 309, 1317)(219, 1227, 312, 1320)(221, 1229, 314, 1322)(222, 1230, 315, 1323)(223, 1231, 317, 1325)(225, 1233, 320, 1328)(228, 1236, 311, 1319)(229, 1237, 324, 1332)(231, 1239, 327, 1335)(233, 1241, 330, 1338)(235, 1243, 325, 1333)(238, 1246, 335, 1343)(239, 1247, 337, 1345)(242, 1250, 340, 1348)(244, 1252, 342, 1350)(245, 1253, 344, 1352)(247, 1255, 296, 1304)(248, 1256, 295, 1303)(249, 1257, 348, 1356)(250, 1258, 350, 1358)(252, 1260, 353, 1361)(254, 1262, 310, 1318)(255, 1263, 346, 1354)(256, 1264, 357, 1365)(258, 1266, 360, 1368)(260, 1268, 363, 1371)(262, 1270, 302, 1310)(265, 1273, 368, 1376)(268, 1276, 372, 1380)(270, 1278, 374, 1382)(271, 1279, 376, 1384)(273, 1281, 322, 1330)(274, 1282, 321, 1329)(275, 1283, 380, 1388)(277, 1285, 283, 1291)(278, 1286, 378, 1386)(279, 1287, 385, 1393)(281, 1289, 388, 1396)(286, 1294, 393, 1401)(287, 1295, 395, 1403)(290, 1298, 398, 1406)(292, 1300, 400, 1408)(293, 1301, 402, 1410)(297, 1305, 406, 1414)(298, 1306, 408, 1416)(300, 1308, 411, 1419)(303, 1311, 404, 1412)(304, 1312, 415, 1423)(306, 1314, 418, 1426)(308, 1316, 421, 1429)(313, 1321, 426, 1434)(316, 1324, 430, 1438)(318, 1326, 432, 1440)(319, 1327, 434, 1442)(323, 1331, 438, 1446)(326, 1334, 436, 1444)(328, 1336, 444, 1452)(329, 1337, 446, 1454)(331, 1339, 441, 1449)(332, 1340, 440, 1448)(333, 1341, 450, 1458)(334, 1342, 452, 1460)(336, 1344, 455, 1463)(338, 1346, 448, 1456)(339, 1347, 457, 1465)(341, 1349, 460, 1468)(343, 1351, 463, 1471)(345, 1353, 458, 1466)(347, 1355, 467, 1475)(349, 1357, 470, 1478)(351, 1359, 472, 1480)(352, 1360, 474, 1482)(354, 1362, 423, 1431)(355, 1363, 422, 1430)(356, 1364, 478, 1486)(358, 1366, 447, 1455)(359, 1367, 476, 1484)(361, 1369, 484, 1492)(362, 1370, 486, 1494)(364, 1372, 413, 1421)(365, 1373, 412, 1420)(366, 1374, 489, 1497)(367, 1375, 491, 1499)(369, 1377, 493, 1501)(370, 1378, 487, 1495)(371, 1379, 495, 1503)(373, 1381, 498, 1506)(375, 1383, 500, 1508)(377, 1385, 496, 1504)(379, 1387, 504, 1512)(381, 1389, 507, 1515)(382, 1390, 390, 1398)(383, 1391, 389, 1397)(384, 1392, 509, 1517)(386, 1394, 512, 1520)(387, 1395, 514, 1522)(391, 1399, 518, 1526)(392, 1400, 520, 1528)(394, 1402, 523, 1531)(396, 1404, 516, 1524)(397, 1405, 525, 1533)(399, 1407, 528, 1536)(401, 1409, 531, 1539)(403, 1411, 526, 1534)(405, 1413, 535, 1543)(407, 1415, 538, 1546)(409, 1417, 540, 1548)(410, 1418, 542, 1550)(414, 1422, 546, 1554)(416, 1424, 515, 1523)(417, 1425, 544, 1552)(419, 1427, 552, 1560)(420, 1428, 554, 1562)(424, 1432, 557, 1565)(425, 1433, 559, 1567)(427, 1435, 561, 1569)(428, 1436, 555, 1563)(429, 1437, 563, 1571)(431, 1439, 566, 1574)(433, 1441, 568, 1576)(435, 1443, 564, 1572)(437, 1445, 572, 1580)(439, 1447, 575, 1583)(442, 1450, 577, 1585)(443, 1451, 579, 1587)(445, 1453, 582, 1590)(449, 1457, 586, 1594)(451, 1459, 589, 1597)(453, 1461, 591, 1599)(454, 1462, 592, 1600)(456, 1464, 595, 1603)(459, 1467, 594, 1602)(461, 1469, 601, 1609)(462, 1470, 603, 1611)(464, 1472, 598, 1606)(465, 1473, 597, 1605)(466, 1474, 605, 1613)(468, 1476, 608, 1616)(469, 1477, 609, 1617)(471, 1479, 612, 1620)(473, 1481, 614, 1622)(475, 1483, 610, 1618)(477, 1485, 618, 1626)(479, 1487, 621, 1629)(480, 1488, 584, 1592)(481, 1489, 583, 1591)(482, 1490, 623, 1631)(483, 1491, 625, 1633)(485, 1493, 628, 1636)(488, 1496, 630, 1638)(490, 1498, 633, 1641)(492, 1500, 635, 1643)(494, 1502, 638, 1646)(497, 1505, 637, 1645)(499, 1507, 643, 1651)(501, 1509, 640, 1648)(502, 1510, 639, 1647)(503, 1511, 646, 1654)(505, 1513, 649, 1657)(506, 1514, 650, 1658)(508, 1516, 652, 1660)(510, 1518, 654, 1662)(511, 1519, 655, 1663)(513, 1521, 658, 1666)(517, 1525, 662, 1670)(519, 1527, 665, 1673)(521, 1529, 667, 1675)(522, 1530, 668, 1676)(524, 1532, 671, 1679)(527, 1535, 670, 1678)(529, 1537, 677, 1685)(530, 1538, 679, 1687)(532, 1540, 674, 1682)(533, 1541, 673, 1681)(534, 1542, 681, 1689)(536, 1544, 684, 1692)(537, 1545, 685, 1693)(539, 1547, 688, 1696)(541, 1549, 690, 1698)(543, 1551, 686, 1694)(545, 1553, 694, 1702)(547, 1555, 697, 1705)(548, 1556, 660, 1668)(549, 1557, 659, 1667)(550, 1558, 699, 1707)(551, 1559, 701, 1709)(553, 1561, 704, 1712)(556, 1564, 706, 1714)(558, 1566, 709, 1717)(560, 1568, 711, 1719)(562, 1570, 714, 1722)(565, 1573, 713, 1721)(567, 1575, 719, 1727)(569, 1577, 716, 1724)(570, 1578, 715, 1723)(571, 1579, 722, 1730)(573, 1581, 725, 1733)(574, 1582, 726, 1734)(576, 1584, 728, 1736)(578, 1586, 730, 1738)(580, 1588, 676, 1684)(581, 1589, 666, 1674)(585, 1593, 732, 1740)(587, 1595, 735, 1743)(588, 1596, 736, 1744)(590, 1598, 657, 1665)(593, 1601, 737, 1745)(596, 1604, 743, 1751)(599, 1607, 745, 1753)(600, 1608, 656, 1664)(602, 1610, 698, 1706)(604, 1612, 721, 1729)(606, 1614, 750, 1758)(607, 1615, 751, 1759)(611, 1619, 753, 1761)(613, 1621, 720, 1728)(615, 1623, 755, 1763)(616, 1624, 754, 1762)(617, 1625, 759, 1767)(619, 1627, 762, 1770)(620, 1628, 763, 1771)(622, 1630, 678, 1686)(624, 1632, 766, 1774)(626, 1634, 718, 1726)(627, 1635, 710, 1718)(629, 1637, 767, 1775)(631, 1639, 770, 1778)(632, 1640, 771, 1779)(634, 1642, 703, 1711)(636, 1644, 772, 1780)(641, 1649, 778, 1786)(642, 1650, 702, 1710)(644, 1652, 689, 1697)(645, 1653, 680, 1688)(647, 1655, 782, 1790)(648, 1656, 783, 1791)(651, 1659, 784, 1792)(653, 1661, 786, 1794)(661, 1669, 789, 1797)(663, 1671, 792, 1800)(664, 1672, 793, 1801)(669, 1677, 794, 1802)(672, 1680, 800, 1808)(675, 1683, 802, 1810)(682, 1690, 807, 1815)(683, 1691, 808, 1816)(687, 1695, 810, 1818)(691, 1699, 812, 1820)(692, 1700, 811, 1819)(693, 1701, 816, 1824)(695, 1703, 819, 1827)(696, 1704, 820, 1828)(700, 1708, 823, 1831)(705, 1713, 824, 1832)(707, 1715, 827, 1835)(708, 1716, 828, 1836)(712, 1720, 829, 1837)(717, 1725, 835, 1843)(723, 1731, 839, 1847)(724, 1732, 840, 1848)(727, 1735, 841, 1849)(729, 1737, 843, 1851)(731, 1739, 804, 1812)(733, 1741, 846, 1854)(734, 1742, 847, 1855)(738, 1746, 848, 1856)(739, 1747, 850, 1858)(740, 1748, 849, 1857)(741, 1749, 853, 1861)(742, 1750, 855, 1863)(744, 1752, 822, 1830)(746, 1754, 858, 1866)(747, 1755, 788, 1796)(748, 1756, 859, 1867)(749, 1757, 860, 1868)(752, 1760, 861, 1869)(756, 1764, 866, 1874)(757, 1765, 834, 1842)(758, 1766, 852, 1860)(760, 1768, 870, 1878)(761, 1769, 871, 1879)(764, 1772, 872, 1880)(765, 1773, 801, 1809)(768, 1776, 876, 1884)(769, 1777, 877, 1885)(773, 1781, 878, 1886)(774, 1782, 869, 1877)(775, 1783, 880, 1888)(776, 1784, 856, 1864)(777, 1785, 814, 1822)(779, 1787, 883, 1891)(780, 1788, 884, 1892)(781, 1789, 863, 1871)(785, 1793, 887, 1895)(787, 1795, 889, 1897)(790, 1798, 892, 1900)(791, 1799, 893, 1901)(795, 1803, 894, 1902)(796, 1804, 896, 1904)(797, 1805, 895, 1903)(798, 1806, 899, 1907)(799, 1807, 901, 1909)(803, 1811, 904, 1912)(805, 1813, 905, 1913)(806, 1814, 906, 1914)(809, 1817, 907, 1915)(813, 1821, 912, 1920)(815, 1823, 898, 1906)(817, 1825, 916, 1924)(818, 1826, 917, 1925)(821, 1829, 918, 1926)(825, 1833, 922, 1930)(826, 1834, 923, 1931)(830, 1838, 924, 1932)(831, 1839, 915, 1923)(832, 1840, 926, 1934)(833, 1841, 902, 1910)(836, 1844, 929, 1937)(837, 1845, 930, 1938)(838, 1846, 909, 1917)(842, 1850, 933, 1941)(844, 1852, 935, 1943)(845, 1853, 891, 1899)(851, 1859, 910, 1918)(854, 1862, 942, 1950)(857, 1865, 920, 1928)(862, 1870, 944, 1952)(864, 1872, 897, 1905)(865, 1873, 928, 1936)(867, 1875, 936, 1944)(868, 1876, 948, 1956)(873, 1881, 934, 1942)(874, 1882, 903, 1911)(875, 1883, 921, 1929)(879, 1887, 932, 1940)(881, 1889, 954, 1962)(882, 1890, 911, 1919)(885, 1893, 956, 1964)(886, 1894, 925, 1933)(888, 1896, 919, 1927)(890, 1898, 913, 1921)(900, 1908, 962, 1970)(908, 1916, 964, 1972)(914, 1922, 968, 1976)(927, 1935, 974, 1982)(931, 1939, 976, 1984)(937, 1945, 958, 1966)(938, 1946, 957, 1965)(939, 1947, 966, 1974)(940, 1948, 978, 1986)(941, 1949, 972, 1980)(943, 1951, 971, 1979)(945, 1953, 973, 1981)(946, 1954, 959, 1967)(947, 1955, 975, 1983)(949, 1957, 982, 1990)(950, 1958, 980, 1988)(951, 1959, 963, 1971)(952, 1960, 961, 1969)(953, 1961, 965, 1973)(955, 1963, 967, 1975)(960, 1968, 987, 1995)(969, 1977, 991, 1999)(970, 1978, 989, 1997)(977, 1985, 994, 2002)(979, 1987, 995, 2003)(981, 1989, 992, 2000)(983, 1991, 990, 1998)(984, 1992, 997, 2005)(985, 1993, 986, 1994)(988, 1996, 999, 2007)(993, 2001, 1001, 2009)(996, 2004, 1003, 2011)(998, 2006, 1004, 2012)(1000, 2008, 1005, 2013)(1002, 2010, 1006, 2014)(1007, 2015, 1008, 2016)(2017, 3025, 2019, 3027, 2024, 3032, 2033, 3041, 2047, 3055, 2036, 3044, 2026, 3034, 2020, 3028)(2018, 3026, 2021, 3029, 2028, 3036, 2039, 3047, 2056, 3064, 2042, 3050, 2030, 3038, 2022, 3030)(2023, 3031, 2029, 3037, 2040, 3048, 2058, 3066, 2083, 3091, 2063, 3071, 2044, 3052, 2031, 3039)(2025, 3033, 2034, 3042, 2049, 3057, 2070, 3078, 2076, 3084, 2053, 3061, 2037, 3045, 2027, 3035)(2032, 3040, 2043, 3051, 2061, 3069, 2088, 3096, 2125, 3133, 2093, 3101, 2065, 3073, 2045, 3053)(2035, 3043, 2050, 3058, 2072, 3080, 2103, 3111, 2139, 3147, 2098, 3106, 2068, 3076, 2048, 3056)(2038, 3046, 2052, 3060, 2074, 3082, 2106, 3114, 2151, 3159, 2111, 3119, 2078, 3086, 2054, 3062)(2041, 3049, 2059, 3067, 2085, 3093, 2121, 3129, 2165, 3173, 2116, 3124, 2081, 3089, 2057, 3065)(2046, 3054, 2064, 3072, 2091, 3099, 2130, 3138, 2185, 3193, 2135, 3143, 2095, 3103, 2066, 3074)(2051, 3059, 2073, 3081, 2104, 3112, 2148, 3156, 2205, 3213, 2144, 3152, 2101, 3109, 2071, 3079)(2055, 3063, 2077, 3085, 2109, 3117, 2156, 3164, 2221, 3229, 2161, 3169, 2113, 3121, 2079, 3087)(2060, 3068, 2086, 3094, 2122, 3130, 2174, 3182, 2241, 3249, 2170, 3178, 2119, 3127, 2084, 3092)(2062, 3070, 2089, 3097, 2127, 3135, 2181, 3189, 2249, 3257, 2176, 3184, 2123, 3131, 2087, 3095)(2067, 3075, 2094, 3102, 2133, 3141, 2190, 3198, 2268, 3276, 2194, 3202, 2136, 3144, 2096, 3104)(2069, 3077, 2097, 3105, 2137, 3145, 2196, 3204, 2276, 3284, 2201, 3209, 2141, 3149, 2099, 3107)(2075, 3083, 2107, 3115, 2153, 3161, 2217, 3225, 2297, 3305, 2212, 3220, 2149, 3157, 2105, 3113)(2080, 3088, 2112, 3120, 2159, 3167, 2226, 3234, 2316, 3324, 2230, 3238, 2162, 3170, 2114, 3122)(2082, 3090, 2115, 3123, 2163, 3171, 2232, 3240, 2324, 3332, 2237, 3245, 2167, 3175, 2117, 3125)(2090, 3098, 2128, 3136, 2182, 3190, 2258, 3266, 2352, 3360, 2254, 3262, 2179, 3187, 2126, 3134)(2092, 3100, 2131, 3139, 2187, 3195, 2264, 3272, 2359, 3367, 2260, 3268, 2183, 3191, 2129, 3137)(2100, 3108, 2140, 3148, 2199, 3207, 2281, 3289, 2385, 3393, 2284, 3292, 2202, 3210, 2142, 3150)(2102, 3110, 2143, 3151, 2203, 3211, 2286, 3294, 2391, 3399, 2290, 3298, 2207, 3215, 2145, 3153)(2108, 3116, 2154, 3162, 2218, 3226, 2306, 3314, 2410, 3418, 2302, 3310, 2215, 3223, 2152, 3160)(2110, 3118, 2157, 3165, 2223, 3231, 2312, 3320, 2417, 3425, 2308, 3316, 2219, 3227, 2155, 3163)(2118, 3126, 2166, 3174, 2235, 3243, 2329, 3337, 2443, 3451, 2332, 3340, 2238, 3246, 2168, 3176)(2120, 3128, 2169, 3177, 2239, 3247, 2334, 3342, 2449, 3457, 2338, 3346, 2243, 3251, 2171, 3179)(2124, 3132, 2175, 3183, 2247, 3255, 2344, 3352, 2461, 3469, 2348, 3356, 2251, 3259, 2177, 3185)(2132, 3140, 2188, 3196, 2265, 3273, 2365, 3373, 2484, 3492, 2363, 3371, 2263, 3271, 2186, 3194)(2134, 3142, 2191, 3199, 2270, 3278, 2371, 3379, 2489, 3497, 2367, 3375, 2266, 3274, 2189, 3197)(2138, 3146, 2197, 3205, 2278, 3286, 2381, 3389, 2501, 3509, 2377, 3385, 2274, 3282, 2195, 3203)(2146, 3154, 2206, 3214, 2289, 3297, 2395, 3403, 2521, 3529, 2397, 3405, 2291, 3299, 2208, 3216)(2147, 3155, 2193, 3201, 2272, 3280, 2374, 3382, 2497, 3505, 2399, 3407, 2293, 3301, 2209, 3217)(2150, 3158, 2211, 3219, 2295, 3303, 2402, 3410, 2529, 3537, 2406, 3414, 2299, 3307, 2213, 3221)(2158, 3166, 2224, 3232, 2313, 3321, 2423, 3431, 2552, 3560, 2421, 3429, 2311, 3319, 2222, 3230)(2160, 3168, 2227, 3235, 2318, 3326, 2429, 3437, 2557, 3565, 2425, 3433, 2314, 3322, 2225, 3233)(2164, 3172, 2233, 3241, 2326, 3334, 2439, 3447, 2569, 3577, 2435, 3443, 2322, 3330, 2231, 3239)(2172, 3180, 2242, 3250, 2337, 3345, 2453, 3461, 2589, 3597, 2455, 3463, 2339, 3347, 2244, 3252)(2173, 3181, 2229, 3237, 2320, 3328, 2432, 3440, 2565, 3573, 2457, 3465, 2341, 3349, 2245, 3253)(2178, 3186, 2250, 3258, 2347, 3355, 2465, 3473, 2603, 3611, 2467, 3475, 2349, 3357, 2252, 3260)(2180, 3188, 2253, 3261, 2350, 3358, 2469, 3477, 2383, 3391, 2280, 3288, 2200, 3208, 2255, 3263)(2184, 3192, 2259, 3267, 2357, 3365, 2477, 3485, 2618, 3626, 2481, 3489, 2361, 3369, 2261, 3269)(2192, 3200, 2271, 3279, 2372, 3380, 2495, 3503, 2635, 3643, 2493, 3501, 2370, 3378, 2269, 3277)(2198, 3206, 2279, 3287, 2382, 3390, 2506, 3514, 2647, 3655, 2504, 3512, 2380, 3388, 2277, 3285)(2204, 3212, 2287, 3295, 2393, 3401, 2518, 3526, 2660, 3668, 2515, 3523, 2389, 3397, 2285, 3293)(2210, 3218, 2292, 3300, 2398, 3406, 2524, 3532, 2669, 3677, 2526, 3534, 2400, 3408, 2294, 3302)(2214, 3222, 2298, 3306, 2405, 3413, 2533, 3541, 2679, 3687, 2535, 3543, 2407, 3415, 2300, 3308)(2216, 3224, 2301, 3309, 2408, 3416, 2537, 3545, 2441, 3449, 2328, 3336, 2236, 3244, 2303, 3311)(2220, 3228, 2307, 3315, 2415, 3423, 2545, 3553, 2694, 3702, 2549, 3557, 2419, 3427, 2309, 3317)(2228, 3236, 2319, 3327, 2430, 3438, 2563, 3571, 2711, 3719, 2561, 3569, 2428, 3436, 2317, 3325)(2234, 3242, 2327, 3335, 2440, 3448, 2574, 3582, 2723, 3731, 2572, 3580, 2438, 3446, 2325, 3333)(2240, 3248, 2335, 3343, 2451, 3459, 2586, 3594, 2736, 3744, 2583, 3591, 2447, 3455, 2333, 3341)(2246, 3254, 2340, 3348, 2456, 3464, 2592, 3600, 2745, 3753, 2594, 3602, 2458, 3466, 2342, 3350)(2248, 3256, 2345, 3353, 2463, 3471, 2600, 3608, 2693, 3701, 2596, 3604, 2459, 3467, 2343, 3351)(2256, 3264, 2353, 3361, 2282, 3290, 2386, 3394, 2510, 3518, 2612, 3620, 2472, 3480, 2354, 3362)(2257, 3265, 2331, 3339, 2445, 3453, 2580, 3588, 2732, 3740, 2614, 3622, 2474, 3482, 2355, 3363)(2262, 3270, 2360, 3368, 2480, 3488, 2620, 3628, 2764, 3772, 2622, 3630, 2482, 3490, 2362, 3370)(2267, 3275, 2366, 3374, 2487, 3495, 2629, 3637, 2773, 3781, 2632, 3640, 2491, 3499, 2368, 3376)(2273, 3281, 2375, 3383, 2498, 3506, 2640, 3648, 2781, 3789, 2638, 3646, 2496, 3504, 2373, 3381)(2275, 3283, 2376, 3384, 2499, 3507, 2642, 3650, 2735, 3743, 2628, 3636, 2488, 3496, 2378, 3386)(2283, 3291, 2387, 3395, 2512, 3520, 2656, 3664, 2690, 3698, 2542, 3550, 2413, 3421, 2305, 3313)(2288, 3296, 2394, 3402, 2519, 3527, 2663, 3671, 2796, 3804, 2661, 3669, 2517, 3525, 2392, 3400)(2296, 3304, 2403, 3411, 2531, 3539, 2676, 3684, 2617, 3625, 2672, 3680, 2527, 3535, 2401, 3409)(2304, 3312, 2411, 3419, 2330, 3338, 2444, 3452, 2578, 3586, 2688, 3696, 2540, 3548, 2412, 3420)(2310, 3318, 2418, 3426, 2548, 3556, 2696, 3704, 2821, 3829, 2698, 3706, 2550, 3558, 2420, 3428)(2315, 3323, 2424, 3432, 2555, 3563, 2705, 3713, 2830, 3838, 2708, 3716, 2559, 3567, 2426, 3434)(2321, 3329, 2433, 3441, 2566, 3574, 2716, 3724, 2838, 3846, 2714, 3722, 2564, 3572, 2431, 3439)(2323, 3331, 2434, 3442, 2567, 3575, 2718, 3726, 2659, 3667, 2704, 3712, 2556, 3564, 2436, 3444)(2336, 3344, 2452, 3460, 2587, 3595, 2739, 3747, 2853, 3861, 2737, 3745, 2585, 3593, 2450, 3458)(2346, 3354, 2464, 3472, 2601, 3609, 2749, 3757, 2807, 3815, 2678, 3686, 2599, 3607, 2462, 3470)(2351, 3359, 2470, 3478, 2609, 3617, 2756, 3764, 2668, 3676, 2674, 3682, 2606, 3614, 2468, 3476)(2356, 3364, 2473, 3481, 2613, 3621, 2760, 3768, 2873, 3881, 2762, 3770, 2615, 3623, 2475, 3483)(2358, 3366, 2478, 3486, 2390, 3398, 2514, 3522, 2658, 3666, 2763, 3771, 2616, 3624, 2476, 3484)(2364, 3372, 2466, 3474, 2604, 3612, 2753, 3761, 2866, 3874, 2771, 3779, 2626, 3634, 2485, 3493)(2369, 3377, 2490, 3498, 2631, 3639, 2774, 3782, 2884, 3892, 2776, 3784, 2633, 3641, 2492, 3500)(2379, 3387, 2502, 3510, 2630, 3638, 2722, 3730, 2842, 3850, 2784, 3792, 2645, 3653, 2503, 3511)(2384, 3392, 2507, 3515, 2650, 3658, 2720, 3728, 2634, 3642, 2777, 3785, 2652, 3660, 2508, 3516)(2388, 3396, 2513, 3521, 2657, 3665, 2795, 3803, 2898, 3906, 2793, 3801, 2655, 3663, 2511, 3519)(2396, 3404, 2522, 3530, 2639, 3647, 2775, 3783, 2885, 3893, 2788, 3796, 2648, 3656, 2505, 3513)(2404, 3412, 2532, 3540, 2677, 3685, 2806, 3814, 2750, 3758, 2602, 3610, 2675, 3683, 2530, 3538)(2409, 3417, 2538, 3546, 2685, 3693, 2813, 3821, 2744, 3752, 2598, 3606, 2682, 3690, 2536, 3544)(2414, 3422, 2541, 3549, 2689, 3697, 2817, 3825, 2919, 3927, 2819, 3827, 2691, 3699, 2543, 3551)(2416, 3424, 2546, 3554, 2448, 3456, 2582, 3590, 2734, 3742, 2820, 3828, 2692, 3700, 2544, 3552)(2422, 3430, 2534, 3542, 2680, 3688, 2810, 3818, 2912, 3920, 2828, 3836, 2702, 3710, 2553, 3561)(2427, 3435, 2558, 3566, 2707, 3715, 2831, 3839, 2930, 3938, 2833, 3841, 2709, 3717, 2560, 3568)(2437, 3445, 2570, 3578, 2706, 3714, 2646, 3654, 2785, 3793, 2841, 3849, 2721, 3729, 2571, 3579)(2442, 3450, 2575, 3583, 2726, 3734, 2644, 3652, 2710, 3718, 2834, 3842, 2728, 3736, 2576, 3584)(2446, 3454, 2581, 3589, 2733, 3741, 2852, 3860, 2944, 3952, 2850, 3858, 2731, 3739, 2579, 3587)(2454, 3462, 2590, 3598, 2715, 3723, 2832, 3840, 2931, 3939, 2845, 3853, 2724, 3732, 2573, 3581)(2460, 3468, 2595, 3603, 2747, 3755, 2641, 3649, 2500, 3508, 2643, 3651, 2683, 3691, 2597, 3605)(2471, 3479, 2610, 3618, 2757, 3765, 2870, 3878, 2956, 3964, 2868, 3876, 2755, 3763, 2608, 3616)(2479, 3487, 2551, 3559, 2699, 3707, 2825, 3833, 2740, 3748, 2588, 3596, 2516, 3524, 2619, 3627)(2483, 3491, 2623, 3631, 2768, 3776, 2664, 3672, 2520, 3528, 2584, 3592, 2695, 3703, 2547, 3555)(2486, 3494, 2625, 3633, 2770, 3778, 2881, 3889, 2963, 3971, 2883, 3891, 2772, 3780, 2627, 3635)(2494, 3502, 2621, 3629, 2765, 3773, 2877, 3885, 2797, 3805, 2662, 3670, 2525, 3533, 2636, 3644)(2509, 3517, 2651, 3659, 2790, 3798, 2886, 3894, 2965, 3973, 2897, 3905, 2791, 3799, 2653, 3661)(2523, 3531, 2667, 3675, 2801, 3809, 2904, 3912, 2967, 3975, 2890, 3898, 2782, 3790, 2666, 3674)(2528, 3536, 2671, 3679, 2804, 3812, 2717, 3725, 2568, 3576, 2719, 3727, 2607, 3615, 2673, 3681)(2539, 3547, 2686, 3694, 2814, 3822, 2916, 3924, 2976, 3984, 2914, 3922, 2812, 3820, 2684, 3692)(2554, 3562, 2701, 3709, 2827, 3835, 2927, 3935, 2983, 3991, 2929, 3937, 2829, 3837, 2703, 3711)(2562, 3570, 2697, 3705, 2822, 3830, 2923, 3931, 2854, 3862, 2738, 3746, 2593, 3601, 2712, 3720)(2577, 3585, 2727, 3735, 2847, 3855, 2932, 3940, 2985, 3993, 2943, 3951, 2848, 3856, 2729, 3737)(2591, 3599, 2743, 3751, 2858, 3866, 2950, 3958, 2987, 3995, 2936, 3944, 2839, 3847, 2742, 3750)(2605, 3613, 2754, 3762, 2867, 3875, 2928, 3936, 2905, 3913, 2802, 3810, 2865, 3873, 2752, 3760)(2611, 3619, 2758, 3766, 2851, 3859, 2942, 3950, 2973, 3981, 2908, 3916, 2861, 3869, 2748, 3756)(2624, 3632, 2769, 3777, 2880, 3888, 2962, 3970, 2901, 3909, 2798, 3806, 2879, 3887, 2767, 3775)(2637, 3645, 2779, 3787, 2670, 3678, 2803, 3811, 2906, 3914, 2966, 3974, 2889, 3897, 2780, 3788)(2649, 3657, 2787, 3795, 2887, 3895, 2778, 3786, 2888, 3896, 2949, 3957, 2895, 3903, 2789, 3797)(2654, 3662, 2783, 3791, 2891, 3899, 2938, 3946, 2977, 3985, 2915, 3923, 2818, 3826, 2792, 3800)(2665, 3673, 2799, 3807, 2876, 3884, 2766, 3774, 2878, 3886, 2961, 3969, 2902, 3910, 2800, 3808)(2681, 3689, 2811, 3819, 2913, 3921, 2882, 3890, 2951, 3959, 2859, 3867, 2911, 3919, 2809, 3817)(2687, 3695, 2815, 3823, 2794, 3802, 2896, 3904, 2953, 3961, 2862, 3870, 2907, 3915, 2805, 3813)(2700, 3708, 2826, 3834, 2926, 3934, 2982, 3990, 2947, 3955, 2855, 3863, 2925, 3933, 2824, 3832)(2713, 3721, 2836, 3844, 2746, 3754, 2860, 3868, 2952, 3960, 2986, 3994, 2935, 3943, 2837, 3845)(2725, 3733, 2844, 3852, 2933, 3941, 2835, 3843, 2934, 3942, 2903, 3911, 2941, 3949, 2846, 3854)(2730, 3738, 2840, 3848, 2937, 3945, 2892, 3900, 2957, 3965, 2869, 3877, 2761, 3769, 2849, 3857)(2741, 3749, 2856, 3864, 2922, 3930, 2823, 3831, 2924, 3932, 2981, 3989, 2948, 3956, 2857, 3865)(2751, 3759, 2863, 3871, 2954, 3962, 2990, 3998, 3009, 4017, 2993, 4001, 2955, 3963, 2864, 3872)(2759, 3767, 2872, 3880, 2920, 3928, 2979, 3987, 3005, 4013, 2991, 3999, 2945, 3953, 2871, 3879)(2786, 3794, 2894, 3902, 2969, 3977, 2999, 4007, 3004, 4012, 2978, 3986, 2968, 3976, 2893, 3901)(2808, 3816, 2909, 3917, 2974, 3982, 2970, 3978, 3000, 4008, 3002, 4010, 2975, 3983, 2910, 3918)(2816, 3824, 2918, 3926, 2874, 3882, 2959, 3967, 2996, 4004, 2971, 3979, 2899, 3907, 2917, 3925)(2843, 3851, 2940, 3948, 2989, 3997, 3008, 4016, 2995, 4003, 2958, 3966, 2988, 3996, 2939, 3947)(2875, 3883, 2946, 3954, 2992, 4000, 3010, 4018, 3018, 4026, 3012, 4020, 2997, 4005, 2960, 3968)(2900, 3908, 2972, 3980, 3001, 4009, 3014, 4022, 3016, 4024, 3006, 4014, 2980, 3988, 2921, 3929)(2964, 3972, 2994, 4002, 3011, 4019, 3019, 4027, 3023, 4031, 3020, 4028, 3013, 4021, 2998, 4006)(2984, 3992, 3003, 4011, 3015, 4023, 3021, 4029, 3024, 4032, 3022, 4030, 3017, 4025, 3007, 4015)
	L = (1, 2018)(2, 2017)(3, 2023)(4, 2025)(5, 2027)(6, 2029)(7, 2019)(8, 2032)(9, 2020)(10, 2035)(11, 2021)(12, 2038)(13, 2022)(14, 2041)(15, 2043)(16, 2024)(17, 2046)(18, 2048)(19, 2026)(20, 2051)(21, 2052)(22, 2028)(23, 2055)(24, 2057)(25, 2030)(26, 2060)(27, 2031)(28, 2062)(29, 2064)(30, 2033)(31, 2067)(32, 2034)(33, 2069)(34, 2071)(35, 2036)(36, 2037)(37, 2075)(38, 2077)(39, 2039)(40, 2080)(41, 2040)(42, 2082)(43, 2084)(44, 2042)(45, 2087)(46, 2044)(47, 2090)(48, 2045)(49, 2092)(50, 2094)(51, 2047)(52, 2097)(53, 2049)(54, 2100)(55, 2050)(56, 2102)(57, 2096)(58, 2105)(59, 2053)(60, 2108)(61, 2054)(62, 2110)(63, 2112)(64, 2056)(65, 2115)(66, 2058)(67, 2118)(68, 2059)(69, 2120)(70, 2114)(71, 2061)(72, 2124)(73, 2126)(74, 2063)(75, 2129)(76, 2065)(77, 2132)(78, 2066)(79, 2134)(80, 2073)(81, 2068)(82, 2138)(83, 2140)(84, 2070)(85, 2143)(86, 2072)(87, 2146)(88, 2147)(89, 2074)(90, 2150)(91, 2152)(92, 2076)(93, 2155)(94, 2078)(95, 2158)(96, 2079)(97, 2160)(98, 2086)(99, 2081)(100, 2164)(101, 2166)(102, 2083)(103, 2169)(104, 2085)(105, 2172)(106, 2173)(107, 2175)(108, 2088)(109, 2178)(110, 2089)(111, 2180)(112, 2168)(113, 2091)(114, 2184)(115, 2186)(116, 2093)(117, 2189)(118, 2095)(119, 2192)(120, 2193)(121, 2195)(122, 2098)(123, 2198)(124, 2099)(125, 2200)(126, 2154)(127, 2101)(128, 2204)(129, 2206)(130, 2103)(131, 2104)(132, 2210)(133, 2211)(134, 2106)(135, 2214)(136, 2107)(137, 2216)(138, 2142)(139, 2109)(140, 2220)(141, 2222)(142, 2111)(143, 2225)(144, 2113)(145, 2228)(146, 2229)(147, 2231)(148, 2116)(149, 2234)(150, 2117)(151, 2236)(152, 2128)(153, 2119)(154, 2240)(155, 2242)(156, 2121)(157, 2122)(158, 2246)(159, 2123)(160, 2248)(161, 2250)(162, 2125)(163, 2253)(164, 2127)(165, 2256)(166, 2257)(167, 2259)(168, 2130)(169, 2262)(170, 2131)(171, 2223)(172, 2252)(173, 2133)(174, 2267)(175, 2269)(176, 2135)(177, 2136)(178, 2273)(179, 2137)(180, 2275)(181, 2277)(182, 2139)(183, 2280)(184, 2141)(185, 2282)(186, 2283)(187, 2285)(188, 2144)(189, 2288)(190, 2145)(191, 2243)(192, 2279)(193, 2292)(194, 2148)(195, 2149)(196, 2296)(197, 2298)(198, 2151)(199, 2301)(200, 2153)(201, 2304)(202, 2305)(203, 2307)(204, 2156)(205, 2310)(206, 2157)(207, 2187)(208, 2300)(209, 2159)(210, 2315)(211, 2317)(212, 2161)(213, 2162)(214, 2321)(215, 2163)(216, 2323)(217, 2325)(218, 2165)(219, 2328)(220, 2167)(221, 2330)(222, 2331)(223, 2333)(224, 2170)(225, 2336)(226, 2171)(227, 2207)(228, 2327)(229, 2340)(230, 2174)(231, 2343)(232, 2176)(233, 2346)(234, 2177)(235, 2341)(236, 2188)(237, 2179)(238, 2351)(239, 2353)(240, 2181)(241, 2182)(242, 2356)(243, 2183)(244, 2358)(245, 2360)(246, 2185)(247, 2312)(248, 2311)(249, 2364)(250, 2366)(251, 2190)(252, 2369)(253, 2191)(254, 2326)(255, 2362)(256, 2373)(257, 2194)(258, 2376)(259, 2196)(260, 2379)(261, 2197)(262, 2318)(263, 2208)(264, 2199)(265, 2384)(266, 2201)(267, 2202)(268, 2388)(269, 2203)(270, 2390)(271, 2392)(272, 2205)(273, 2338)(274, 2337)(275, 2396)(276, 2209)(277, 2299)(278, 2394)(279, 2401)(280, 2212)(281, 2404)(282, 2213)(283, 2293)(284, 2224)(285, 2215)(286, 2409)(287, 2411)(288, 2217)(289, 2218)(290, 2414)(291, 2219)(292, 2416)(293, 2418)(294, 2221)(295, 2264)(296, 2263)(297, 2422)(298, 2424)(299, 2226)(300, 2427)(301, 2227)(302, 2278)(303, 2420)(304, 2431)(305, 2230)(306, 2434)(307, 2232)(308, 2437)(309, 2233)(310, 2270)(311, 2244)(312, 2235)(313, 2442)(314, 2237)(315, 2238)(316, 2446)(317, 2239)(318, 2448)(319, 2450)(320, 2241)(321, 2290)(322, 2289)(323, 2454)(324, 2245)(325, 2251)(326, 2452)(327, 2247)(328, 2460)(329, 2462)(330, 2249)(331, 2457)(332, 2456)(333, 2466)(334, 2468)(335, 2254)(336, 2471)(337, 2255)(338, 2464)(339, 2473)(340, 2258)(341, 2476)(342, 2260)(343, 2479)(344, 2261)(345, 2474)(346, 2271)(347, 2483)(348, 2265)(349, 2486)(350, 2266)(351, 2488)(352, 2490)(353, 2268)(354, 2439)(355, 2438)(356, 2494)(357, 2272)(358, 2463)(359, 2492)(360, 2274)(361, 2500)(362, 2502)(363, 2276)(364, 2429)(365, 2428)(366, 2505)(367, 2507)(368, 2281)(369, 2509)(370, 2503)(371, 2511)(372, 2284)(373, 2514)(374, 2286)(375, 2516)(376, 2287)(377, 2512)(378, 2294)(379, 2520)(380, 2291)(381, 2523)(382, 2406)(383, 2405)(384, 2525)(385, 2295)(386, 2528)(387, 2530)(388, 2297)(389, 2399)(390, 2398)(391, 2534)(392, 2536)(393, 2302)(394, 2539)(395, 2303)(396, 2532)(397, 2541)(398, 2306)(399, 2544)(400, 2308)(401, 2547)(402, 2309)(403, 2542)(404, 2319)(405, 2551)(406, 2313)(407, 2554)(408, 2314)(409, 2556)(410, 2558)(411, 2316)(412, 2381)(413, 2380)(414, 2562)(415, 2320)(416, 2531)(417, 2560)(418, 2322)(419, 2568)(420, 2570)(421, 2324)(422, 2371)(423, 2370)(424, 2573)(425, 2575)(426, 2329)(427, 2577)(428, 2571)(429, 2579)(430, 2332)(431, 2582)(432, 2334)(433, 2584)(434, 2335)(435, 2580)(436, 2342)(437, 2588)(438, 2339)(439, 2591)(440, 2348)(441, 2347)(442, 2593)(443, 2595)(444, 2344)(445, 2598)(446, 2345)(447, 2374)(448, 2354)(449, 2602)(450, 2349)(451, 2605)(452, 2350)(453, 2607)(454, 2608)(455, 2352)(456, 2611)(457, 2355)(458, 2361)(459, 2610)(460, 2357)(461, 2617)(462, 2619)(463, 2359)(464, 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3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	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 E22.1789
Graph:: bipartite
	v = 630 e = 2016 f = 1344
	degree seq :: [ 4^504, 16^126 ]

E22.1788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3 * Y2^-1)^8, Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1, Y3^-1 * Y1 * Y3^-3 * Y1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^-3 * Y1, Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1 ]
Map:: polytopal
	R = (1, 1009, 2, 1010, 4, 1012)(3, 1011, 8, 1016, 10, 1018)(5, 1013, 12, 1020, 6, 1014)(7, 1015, 15, 1023, 11, 1019)(9, 1017, 18, 1026, 20, 1028)(13, 1021, 25, 1033, 23, 1031)(14, 1022, 24, 1032, 28, 1036)(16, 1024, 31, 1039, 29, 1037)(17, 1025, 33, 1041, 21, 1029)(19, 1027, 36, 1044, 38, 1046)(22, 1030, 30, 1038, 42, 1050)(26, 1034, 47, 1055, 45, 1053)(27, 1035, 48, 1056, 50, 1058)(32, 1040, 56, 1064, 54, 1062)(34, 1042, 59, 1067, 57, 1065)(35, 1043, 61, 1069, 39, 1047)(37, 1045, 64, 1072, 65, 1073)(40, 1048, 58, 1066, 69, 1077)(41, 1049, 70, 1078, 71, 1079)(43, 1051, 46, 1054, 74, 1082)(44, 1052, 75, 1083, 51, 1059)(49, 1057, 81, 1089, 82, 1090)(52, 1060, 55, 1063, 86, 1094)(53, 1061, 87, 1095, 72, 1080)(60, 1068, 96, 1104, 94, 1102)(62, 1070, 99, 1107, 97, 1105)(63, 1071, 101, 1109, 66, 1074)(67, 1075, 98, 1106, 107, 1115)(68, 1076, 108, 1116, 109, 1117)(73, 1081, 114, 1122, 116, 1124)(76, 1084, 120, 1128, 118, 1126)(77, 1085, 79, 1087, 122, 1130)(78, 1086, 123, 1131, 117, 1125)(80, 1088, 126, 1134, 83, 1091)(84, 1092, 119, 1127, 132, 1140)(85, 1093, 133, 1141, 135, 1143)(88, 1096, 139, 1147, 137, 1145)(89, 1097, 91, 1099, 141, 1149)(90, 1098, 142, 1150, 136, 1144)(92, 1100, 95, 1103, 146, 1154)(93, 1101, 147, 1155, 110, 1118)(100, 1108, 156, 1164, 154, 1162)(102, 1110, 159, 1167, 157, 1165)(103, 1111, 161, 1169, 104, 1112)(105, 1113, 158, 1166, 165, 1173)(106, 1114, 166, 1174, 167, 1175)(111, 1119, 172, 1180, 112, 1120)(113, 1121, 138, 1146, 176, 1184)(115, 1123, 178, 1186, 179, 1187)(121, 1129, 185, 1193, 187, 1195)(124, 1132, 191, 1199, 189, 1197)(125, 1133, 192, 1200, 188, 1196)(127, 1135, 196, 1204, 194, 1202)(128, 1136, 198, 1206, 129, 1137)(130, 1138, 195, 1203, 202, 1210)(131, 1139, 203, 1211, 204, 1212)(134, 1142, 207, 1215, 208, 1216)(140, 1148, 214, 1222, 216, 1224)(143, 1151, 220, 1228, 218, 1226)(144, 1152, 221, 1229, 217, 1225)(145, 1153, 223, 1231, 225, 1233)(148, 1156, 229, 1237, 227, 1235)(149, 1157, 151, 1159, 231, 1239)(150, 1158, 232, 1240, 226, 1234)(152, 1160, 155, 1163, 236, 1244)(153, 1161, 237, 1245, 168, 1176)(160, 1168, 246, 1254, 244, 1252)(162, 1170, 249, 1257, 247, 1255)(163, 1171, 248, 1256, 252, 1260)(164, 1172, 253, 1261, 254, 1262)(169, 1177, 259, 1267, 170, 1178)(171, 1179, 228, 1236, 263, 1271)(173, 1181, 266, 1274, 264, 1272)(174, 1182, 265, 1273, 269, 1277)(175, 1183, 270, 1278, 271, 1279)(177, 1185, 273, 1281, 180, 1188)(181, 1189, 190, 1198, 279, 1287)(182, 1190, 184, 1192, 281, 1289)(183, 1191, 282, 1290, 205, 1213)(186, 1194, 286, 1294, 287, 1295)(193, 1201, 295, 1303, 293, 1301)(197, 1205, 300, 1308, 298, 1306)(199, 1207, 303, 1311, 301, 1309)(200, 1208, 302, 1310, 306, 1314)(201, 1209, 307, 1315, 308, 1316)(206, 1214, 313, 1321, 209, 1217)(210, 1218, 219, 1227, 319, 1327)(211, 1219, 213, 1221, 321, 1329)(212, 1220, 322, 1330, 272, 1280)(215, 1223, 326, 1334, 327, 1335)(222, 1230, 335, 1343, 333, 1341)(224, 1232, 337, 1345, 338, 1346)(230, 1238, 344, 1352, 346, 1354)(233, 1241, 350, 1358, 348, 1356)(234, 1242, 351, 1359, 347, 1355)(235, 1243, 353, 1361, 355, 1363)(238, 1246, 359, 1367, 357, 1365)(239, 1247, 241, 1249, 361, 1369)(240, 1248, 362, 1370, 356, 1364)(242, 1250, 245, 1253, 366, 1374)(243, 1251, 367, 1375, 255, 1263)(250, 1258, 376, 1384, 374, 1382)(251, 1259, 377, 1385, 378, 1386)(256, 1264, 383, 1391, 257, 1265)(258, 1266, 358, 1366, 387, 1395)(260, 1268, 390, 1398, 388, 1396)(261, 1269, 389, 1397, 393, 1401)(262, 1270, 394, 1402, 395, 1403)(267, 1275, 401, 1409, 399, 1407)(268, 1276, 402, 1410, 403, 1411)(274, 1282, 410, 1418, 408, 1416)(275, 1283, 412, 1420, 276, 1284)(277, 1285, 409, 1417, 416, 1424)(278, 1286, 417, 1425, 418, 1426)(280, 1288, 420, 1428, 422, 1430)(283, 1291, 426, 1434, 424, 1432)(284, 1292, 427, 1435, 423, 1431)(285, 1293, 429, 1437, 288, 1296)(289, 1297, 294, 1302, 435, 1443)(290, 1298, 292, 1300, 437, 1445)(291, 1299, 438, 1446, 419, 1427)(296, 1304, 299, 1307, 445, 1453)(297, 1305, 446, 1454, 309, 1317)(304, 1312, 455, 1463, 453, 1461)(305, 1313, 456, 1464, 457, 1465)(310, 1318, 462, 1470, 311, 1319)(312, 1320, 425, 1433, 466, 1474)(314, 1322, 469, 1477, 467, 1475)(315, 1323, 471, 1479, 316, 1324)(317, 1325, 468, 1476, 475, 1483)(318, 1326, 476, 1484, 477, 1485)(320, 1328, 479, 1487, 481, 1489)(323, 1331, 485, 1493, 483, 1491)(324, 1332, 486, 1494, 482, 1490)(325, 1333, 488, 1496, 328, 1336)(329, 1337, 334, 1342, 494, 1502)(330, 1338, 332, 1340, 496, 1504)(331, 1339, 497, 1505, 478, 1486)(336, 1344, 503, 1511, 339, 1347)(340, 1348, 349, 1357, 509, 1517)(341, 1349, 343, 1351, 511, 1519)(342, 1350, 512, 1520, 396, 1404)(345, 1353, 516, 1524, 517, 1525)(352, 1360, 525, 1533, 523, 1531)(354, 1362, 527, 1535, 528, 1536)(360, 1368, 534, 1542, 536, 1544)(363, 1371, 460, 1468, 459, 1467)(364, 1372, 539, 1547, 537, 1545)(365, 1373, 541, 1549, 489, 1497)(368, 1376, 546, 1554, 544, 1552)(369, 1377, 371, 1379, 548, 1556)(370, 1378, 549, 1557, 543, 1551)(372, 1380, 375, 1383, 553, 1561)(373, 1381, 554, 1562, 379, 1387)(380, 1388, 487, 1495, 381, 1389)(382, 1390, 545, 1553, 564, 1572)(384, 1392, 566, 1574, 449, 1457)(385, 1393, 565, 1573, 569, 1577)(386, 1394, 570, 1578, 571, 1579)(391, 1399, 577, 1585, 575, 1583)(392, 1400, 500, 1508, 502, 1510)(397, 1405, 400, 1408, 583, 1591)(398, 1406, 584, 1592, 404, 1412)(405, 1413, 550, 1558, 406, 1414)(407, 1415, 484, 1492, 594, 1602)(411, 1419, 598, 1606, 597, 1605)(413, 1421, 601, 1609, 599, 1607)(414, 1422, 600, 1608, 604, 1612)(415, 1423, 520, 1528, 522, 1530)(421, 1429, 609, 1617, 610, 1618)(428, 1436, 590, 1598, 589, 1597)(430, 1438, 582, 1590, 617, 1625)(431, 1439, 620, 1628, 432, 1440)(433, 1441, 618, 1626, 495, 1503)(434, 1442, 623, 1631, 624, 1632)(436, 1444, 507, 1515, 627, 1635)(439, 1447, 631, 1639, 629, 1637)(440, 1448, 632, 1640, 628, 1636)(441, 1449, 443, 1451, 474, 1482)(442, 1450, 634, 1642, 625, 1633)(444, 1452, 637, 1645, 504, 1512)(447, 1455, 641, 1649, 639, 1647)(448, 1456, 450, 1458, 643, 1651)(451, 1459, 454, 1462, 646, 1654)(452, 1460, 647, 1655, 458, 1466)(461, 1469, 640, 1648, 657, 1665)(463, 1471, 659, 1667, 587, 1595)(464, 1472, 658, 1666, 662, 1670)(465, 1473, 663, 1671, 664, 1672)(470, 1478, 668, 1676, 667, 1675)(472, 1480, 671, 1679, 669, 1677)(473, 1481, 670, 1678, 674, 1682)(480, 1488, 679, 1687, 680, 1688)(490, 1498, 688, 1696, 491, 1499)(492, 1500, 686, 1694, 510, 1518)(493, 1501, 691, 1699, 692, 1700)(498, 1506, 698, 1706, 696, 1704)(499, 1507, 699, 1707, 695, 1703)(501, 1509, 701, 1709, 693, 1701)(505, 1513, 705, 1713, 506, 1514)(508, 1516, 708, 1716, 709, 1717)(513, 1521, 715, 1723, 713, 1721)(514, 1522, 716, 1724, 712, 1720)(515, 1523, 718, 1726, 518, 1526)(519, 1527, 524, 1532, 724, 1732)(521, 1529, 725, 1733, 710, 1718)(526, 1534, 611, 1619, 529, 1537)(530, 1538, 538, 1546, 734, 1742)(531, 1539, 533, 1541, 736, 1744)(532, 1540, 737, 1745, 572, 1580)(535, 1543, 741, 1749, 655, 1663)(540, 1548, 703, 1711, 744, 1752)(542, 1550, 687, 1695, 746, 1754)(547, 1555, 751, 1759, 753, 1761)(551, 1559, 756, 1764, 754, 1762)(552, 1560, 758, 1766, 719, 1727)(555, 1563, 645, 1653, 761, 1769)(556, 1564, 558, 1566, 661, 1669)(557, 1565, 763, 1771, 760, 1768)(559, 1567, 717, 1725, 560, 1568)(561, 1569, 762, 1770, 768, 1776)(562, 1570, 673, 1681, 770, 1778)(563, 1571, 771, 1779, 772, 1780)(567, 1575, 775, 1783, 774, 1782)(568, 1576, 728, 1736, 730, 1738)(573, 1581, 576, 1584, 595, 1603)(574, 1582, 780, 1788, 578, 1586)(579, 1587, 764, 1772, 580, 1588)(581, 1589, 714, 1722, 786, 1794)(585, 1593, 790, 1798, 788, 1796)(586, 1594, 588, 1596, 792, 1800)(591, 1599, 789, 1797, 796, 1804)(592, 1600, 752, 1760, 798, 1806)(593, 1601, 799, 1807, 800, 1808)(596, 1604, 802, 1810, 605, 1613)(602, 1610, 727, 1735, 806, 1814)(603, 1611, 808, 1816, 794, 1802)(606, 1614, 810, 1818, 607, 1615)(608, 1616, 630, 1638, 813, 1821)(612, 1620, 616, 1624, 816, 1824)(613, 1621, 615, 1623, 767, 1775)(614, 1622, 817, 1825, 665, 1673)(619, 1627, 821, 1829, 787, 1795)(621, 1629, 823, 1831, 739, 1747)(622, 1630, 822, 1830, 825, 1833)(626, 1634, 828, 1836, 829, 1837)(633, 1641, 653, 1661, 652, 1660)(635, 1643, 778, 1786, 777, 1785)(636, 1644, 833, 1841, 672, 1680)(638, 1646, 704, 1712, 835, 1843)(642, 1650, 839, 1847, 776, 1784)(644, 1652, 841, 1849, 840, 1848)(648, 1656, 723, 1731, 845, 1853)(649, 1657, 651, 1659, 797, 1805)(650, 1658, 811, 1819, 844, 1852)(654, 1662, 846, 1854, 850, 1858)(656, 1664, 852, 1860, 853, 1861)(660, 1668, 856, 1864, 855, 1863)(666, 1674, 861, 1869, 675, 1683)(676, 1684, 866, 1874, 677, 1685)(678, 1686, 697, 1705, 869, 1877)(681, 1689, 685, 1693, 871, 1879)(682, 1690, 684, 1692, 849, 1857)(683, 1691, 872, 1880, 801, 1809)(689, 1697, 877, 1885, 819, 1827)(690, 1698, 876, 1884, 879, 1887)(694, 1702, 820, 1828, 882, 1890)(700, 1708, 721, 1729, 720, 1728)(702, 1710, 859, 1867, 858, 1866)(706, 1714, 831, 1839, 874, 1882)(707, 1715, 886, 1894, 888, 1896)(711, 1719, 875, 1883, 891, 1899)(722, 1730, 895, 1903, 735, 1743)(726, 1734, 901, 1909, 899, 1907)(729, 1737, 867, 1875, 898, 1906)(731, 1739, 904, 1912, 732, 1740)(733, 1741, 906, 1914, 870, 1878)(738, 1746, 881, 1889, 884, 1892)(740, 1748, 826, 1834, 742, 1750)(743, 1751, 745, 1753, 910, 1918)(747, 1755, 755, 1763, 914, 1922)(748, 1756, 750, 1758, 807, 1815)(749, 1757, 868, 1876, 773, 1781)(757, 1765, 903, 1911, 918, 1926)(759, 1767, 896, 1904, 843, 1851)(765, 1773, 923, 1931, 842, 1850)(766, 1774, 887, 1895, 926, 1934)(769, 1777, 911, 1919, 885, 1893)(779, 1787, 860, 1868, 930, 1938)(781, 1789, 804, 1812, 931, 1939)(782, 1790, 783, 1791, 932, 1940)(784, 1792, 857, 1865, 791, 1799)(785, 1793, 854, 1862, 837, 1845)(793, 1801, 936, 1944, 935, 1943)(795, 1803, 892, 1900, 894, 1902)(803, 1811, 862, 1870, 940, 1948)(805, 1813, 880, 1888, 809, 1817)(812, 1820, 939, 1947, 934, 1942)(814, 1822, 944, 1952, 815, 1823)(818, 1826, 890, 1898, 900, 1908)(824, 1832, 947, 1955, 848, 1856)(827, 1835, 832, 1840, 873, 1881)(830, 1838, 883, 1891, 893, 1901)(834, 1842, 938, 1946, 941, 1949)(836, 1844, 838, 1846, 864, 1872)(847, 1855, 958, 1966, 937, 1945)(851, 1859, 908, 1916, 902, 1910)(863, 1871, 889, 1897, 865, 1873)(878, 1886, 965, 1973, 897, 1905)(905, 1913, 978, 1986, 948, 1956)(907, 1915, 974, 1982, 968, 1976)(909, 1917, 949, 1957, 915, 1923)(912, 1920, 971, 1979, 980, 1988)(913, 1921, 981, 1989, 973, 1981)(916, 1924, 976, 1984, 963, 1971)(917, 1925, 919, 1927, 983, 1991)(920, 1928, 922, 1930, 953, 1961)(921, 1929, 972, 1980, 927, 1935)(924, 1932, 960, 1968, 988, 1996)(925, 1933, 984, 1992, 977, 1985)(928, 1936, 929, 1937, 951, 1959)(933, 1941, 991, 1999, 990, 1998)(942, 1950, 967, 1975, 952, 1960)(943, 1951, 992, 2000, 956, 1964)(945, 1953, 994, 2002, 966, 1974)(946, 1954, 962, 1970, 969, 1977)(950, 1958, 961, 1969, 957, 1965)(954, 1962, 955, 1963, 993, 2001)(959, 1967, 975, 1983, 1000, 2008)(964, 1972, 979, 1987, 970, 1978)(982, 1990, 996, 2004, 999, 2007)(985, 1993, 1004, 2012, 1001, 2009)(986, 1994, 998, 2006, 1003, 2011)(987, 1995, 1007, 2015, 1005, 2013)(989, 1997, 1002, 2010, 997, 2005)(995, 2003, 1006, 2014, 1008, 2016)(2017, 3025)(2018, 3026)(2019, 3027)(2020, 3028)(2021, 3029)(2022, 3030)(2023, 3031)(2024, 3032)(2025, 3033)(2026, 3034)(2027, 3035)(2028, 3036)(2029, 3037)(2030, 3038)(2031, 3039)(2032, 3040)(2033, 3041)(2034, 3042)(2035, 3043)(2036, 3044)(2037, 3045)(2038, 3046)(2039, 3047)(2040, 3048)(2041, 3049)(2042, 3050)(2043, 3051)(2044, 3052)(2045, 3053)(2046, 3054)(2047, 3055)(2048, 3056)(2049, 3057)(2050, 3058)(2051, 3059)(2052, 3060)(2053, 3061)(2054, 3062)(2055, 3063)(2056, 3064)(2057, 3065)(2058, 3066)(2059, 3067)(2060, 3068)(2061, 3069)(2062, 3070)(2063, 3071)(2064, 3072)(2065, 3073)(2066, 3074)(2067, 3075)(2068, 3076)(2069, 3077)(2070, 3078)(2071, 3079)(2072, 3080)(2073, 3081)(2074, 3082)(2075, 3083)(2076, 3084)(2077, 3085)(2078, 3086)(2079, 3087)(2080, 3088)(2081, 3089)(2082, 3090)(2083, 3091)(2084, 3092)(2085, 3093)(2086, 3094)(2087, 3095)(2088, 3096)(2089, 3097)(2090, 3098)(2091, 3099)(2092, 3100)(2093, 3101)(2094, 3102)(2095, 3103)(2096, 3104)(2097, 3105)(2098, 3106)(2099, 3107)(2100, 3108)(2101, 3109)(2102, 3110)(2103, 3111)(2104, 3112)(2105, 3113)(2106, 3114)(2107, 3115)(2108, 3116)(2109, 3117)(2110, 3118)(2111, 3119)(2112, 3120)(2113, 3121)(2114, 3122)(2115, 3123)(2116, 3124)(2117, 3125)(2118, 3126)(2119, 3127)(2120, 3128)(2121, 3129)(2122, 3130)(2123, 3131)(2124, 3132)(2125, 3133)(2126, 3134)(2127, 3135)(2128, 3136)(2129, 3137)(2130, 3138)(2131, 3139)(2132, 3140)(2133, 3141)(2134, 3142)(2135, 3143)(2136, 3144)(2137, 3145)(2138, 3146)(2139, 3147)(2140, 3148)(2141, 3149)(2142, 3150)(2143, 3151)(2144, 3152)(2145, 3153)(2146, 3154)(2147, 3155)(2148, 3156)(2149, 3157)(2150, 3158)(2151, 3159)(2152, 3160)(2153, 3161)(2154, 3162)(2155, 3163)(2156, 3164)(2157, 3165)(2158, 3166)(2159, 3167)(2160, 3168)(2161, 3169)(2162, 3170)(2163, 3171)(2164, 3172)(2165, 3173)(2166, 3174)(2167, 3175)(2168, 3176)(2169, 3177)(2170, 3178)(2171, 3179)(2172, 3180)(2173, 3181)(2174, 3182)(2175, 3183)(2176, 3184)(2177, 3185)(2178, 3186)(2179, 3187)(2180, 3188)(2181, 3189)(2182, 3190)(2183, 3191)(2184, 3192)(2185, 3193)(2186, 3194)(2187, 3195)(2188, 3196)(2189, 3197)(2190, 3198)(2191, 3199)(2192, 3200)(2193, 3201)(2194, 3202)(2195, 3203)(2196, 3204)(2197, 3205)(2198, 3206)(2199, 3207)(2200, 3208)(2201, 3209)(2202, 3210)(2203, 3211)(2204, 3212)(2205, 3213)(2206, 3214)(2207, 3215)(2208, 3216)(2209, 3217)(2210, 3218)(2211, 3219)(2212, 3220)(2213, 3221)(2214, 3222)(2215, 3223)(2216, 3224)(2217, 3225)(2218, 3226)(2219, 3227)(2220, 3228)(2221, 3229)(2222, 3230)(2223, 3231)(2224, 3232)(2225, 3233)(2226, 3234)(2227, 3235)(2228, 3236)(2229, 3237)(2230, 3238)(2231, 3239)(2232, 3240)(2233, 3241)(2234, 3242)(2235, 3243)(2236, 3244)(2237, 3245)(2238, 3246)(2239, 3247)(2240, 3248)(2241, 3249)(2242, 3250)(2243, 3251)(2244, 3252)(2245, 3253)(2246, 3254)(2247, 3255)(2248, 3256)(2249, 3257)(2250, 3258)(2251, 3259)(2252, 3260)(2253, 3261)(2254, 3262)(2255, 3263)(2256, 3264)(2257, 3265)(2258, 3266)(2259, 3267)(2260, 3268)(2261, 3269)(2262, 3270)(2263, 3271)(2264, 3272)(2265, 3273)(2266, 3274)(2267, 3275)(2268, 3276)(2269, 3277)(2270, 3278)(2271, 3279)(2272, 3280)(2273, 3281)(2274, 3282)(2275, 3283)(2276, 3284)(2277, 3285)(2278, 3286)(2279, 3287)(2280, 3288)(2281, 3289)(2282, 3290)(2283, 3291)(2284, 3292)(2285, 3293)(2286, 3294)(2287, 3295)(2288, 3296)(2289, 3297)(2290, 3298)(2291, 3299)(2292, 3300)(2293, 3301)(2294, 3302)(2295, 3303)(2296, 3304)(2297, 3305)(2298, 3306)(2299, 3307)(2300, 3308)(2301, 3309)(2302, 3310)(2303, 3311)(2304, 3312)(2305, 3313)(2306, 3314)(2307, 3315)(2308, 3316)(2309, 3317)(2310, 3318)(2311, 3319)(2312, 3320)(2313, 3321)(2314, 3322)(2315, 3323)(2316, 3324)(2317, 3325)(2318, 3326)(2319, 3327)(2320, 3328)(2321, 3329)(2322, 3330)(2323, 3331)(2324, 3332)(2325, 3333)(2326, 3334)(2327, 3335)(2328, 3336)(2329, 3337)(2330, 3338)(2331, 3339)(2332, 3340)(2333, 3341)(2334, 3342)(2335, 3343)(2336, 3344)(2337, 3345)(2338, 3346)(2339, 3347)(2340, 3348)(2341, 3349)(2342, 3350)(2343, 3351)(2344, 3352)(2345, 3353)(2346, 3354)(2347, 3355)(2348, 3356)(2349, 3357)(2350, 3358)(2351, 3359)(2352, 3360)(2353, 3361)(2354, 3362)(2355, 3363)(2356, 3364)(2357, 3365)(2358, 3366)(2359, 3367)(2360, 3368)(2361, 3369)(2362, 3370)(2363, 3371)(2364, 3372)(2365, 3373)(2366, 3374)(2367, 3375)(2368, 3376)(2369, 3377)(2370, 3378)(2371, 3379)(2372, 3380)(2373, 3381)(2374, 3382)(2375, 3383)(2376, 3384)(2377, 3385)(2378, 3386)(2379, 3387)(2380, 3388)(2381, 3389)(2382, 3390)(2383, 3391)(2384, 3392)(2385, 3393)(2386, 3394)(2387, 3395)(2388, 3396)(2389, 3397)(2390, 3398)(2391, 3399)(2392, 3400)(2393, 3401)(2394, 3402)(2395, 3403)(2396, 3404)(2397, 3405)(2398, 3406)(2399, 3407)(2400, 3408)(2401, 3409)(2402, 3410)(2403, 3411)(2404, 3412)(2405, 3413)(2406, 3414)(2407, 3415)(2408, 3416)(2409, 3417)(2410, 3418)(2411, 3419)(2412, 3420)(2413, 3421)(2414, 3422)(2415, 3423)(2416, 3424)(2417, 3425)(2418, 3426)(2419, 3427)(2420, 3428)(2421, 3429)(2422, 3430)(2423, 3431)(2424, 3432)(2425, 3433)(2426, 3434)(2427, 3435)(2428, 3436)(2429, 3437)(2430, 3438)(2431, 3439)(2432, 3440)(2433, 3441)(2434, 3442)(2435, 3443)(2436, 3444)(2437, 3445)(2438, 3446)(2439, 3447)(2440, 3448)(2441, 3449)(2442, 3450)(2443, 3451)(2444, 3452)(2445, 3453)(2446, 3454)(2447, 3455)(2448, 3456)(2449, 3457)(2450, 3458)(2451, 3459)(2452, 3460)(2453, 3461)(2454, 3462)(2455, 3463)(2456, 3464)(2457, 3465)(2458, 3466)(2459, 3467)(2460, 3468)(2461, 3469)(2462, 3470)(2463, 3471)(2464, 3472)(2465, 3473)(2466, 3474)(2467, 3475)(2468, 3476)(2469, 3477)(2470, 3478)(2471, 3479)(2472, 3480)(2473, 3481)(2474, 3482)(2475, 3483)(2476, 3484)(2477, 3485)(2478, 3486)(2479, 3487)(2480, 3488)(2481, 3489)(2482, 3490)(2483, 3491)(2484, 3492)(2485, 3493)(2486, 3494)(2487, 3495)(2488, 3496)(2489, 3497)(2490, 3498)(2491, 3499)(2492, 3500)(2493, 3501)(2494, 3502)(2495, 3503)(2496, 3504)(2497, 3505)(2498, 3506)(2499, 3507)(2500, 3508)(2501, 3509)(2502, 3510)(2503, 3511)(2504, 3512)(2505, 3513)(2506, 3514)(2507, 3515)(2508, 3516)(2509, 3517)(2510, 3518)(2511, 3519)(2512, 3520)(2513, 3521)(2514, 3522)(2515, 3523)(2516, 3524)(2517, 3525)(2518, 3526)(2519, 3527)(2520, 3528)(2521, 3529)(2522, 3530)(2523, 3531)(2524, 3532)(2525, 3533)(2526, 3534)(2527, 3535)(2528, 3536)(2529, 3537)(2530, 3538)(2531, 3539)(2532, 3540)(2533, 3541)(2534, 3542)(2535, 3543)(2536, 3544)(2537, 3545)(2538, 3546)(2539, 3547)(2540, 3548)(2541, 3549)(2542, 3550)(2543, 3551)(2544, 3552)(2545, 3553)(2546, 3554)(2547, 3555)(2548, 3556)(2549, 3557)(2550, 3558)(2551, 3559)(2552, 3560)(2553, 3561)(2554, 3562)(2555, 3563)(2556, 3564)(2557, 3565)(2558, 3566)(2559, 3567)(2560, 3568)(2561, 3569)(2562, 3570)(2563, 3571)(2564, 3572)(2565, 3573)(2566, 3574)(2567, 3575)(2568, 3576)(2569, 3577)(2570, 3578)(2571, 3579)(2572, 3580)(2573, 3581)(2574, 3582)(2575, 3583)(2576, 3584)(2577, 3585)(2578, 3586)(2579, 3587)(2580, 3588)(2581, 3589)(2582, 3590)(2583, 3591)(2584, 3592)(2585, 3593)(2586, 3594)(2587, 3595)(2588, 3596)(2589, 3597)(2590, 3598)(2591, 3599)(2592, 3600)(2593, 3601)(2594, 3602)(2595, 3603)(2596, 3604)(2597, 3605)(2598, 3606)(2599, 3607)(2600, 3608)(2601, 3609)(2602, 3610)(2603, 3611)(2604, 3612)(2605, 3613)(2606, 3614)(2607, 3615)(2608, 3616)(2609, 3617)(2610, 3618)(2611, 3619)(2612, 3620)(2613, 3621)(2614, 3622)(2615, 3623)(2616, 3624)(2617, 3625)(2618, 3626)(2619, 3627)(2620, 3628)(2621, 3629)(2622, 3630)(2623, 3631)(2624, 3632)(2625, 3633)(2626, 3634)(2627, 3635)(2628, 3636)(2629, 3637)(2630, 3638)(2631, 3639)(2632, 3640)(2633, 3641)(2634, 3642)(2635, 3643)(2636, 3644)(2637, 3645)(2638, 3646)(2639, 3647)(2640, 3648)(2641, 3649)(2642, 3650)(2643, 3651)(2644, 3652)(2645, 3653)(2646, 3654)(2647, 3655)(2648, 3656)(2649, 3657)(2650, 3658)(2651, 3659)(2652, 3660)(2653, 3661)(2654, 3662)(2655, 3663)(2656, 3664)(2657, 3665)(2658, 3666)(2659, 3667)(2660, 3668)(2661, 3669)(2662, 3670)(2663, 3671)(2664, 3672)(2665, 3673)(2666, 3674)(2667, 3675)(2668, 3676)(2669, 3677)(2670, 3678)(2671, 3679)(2672, 3680)(2673, 3681)(2674, 3682)(2675, 3683)(2676, 3684)(2677, 3685)(2678, 3686)(2679, 3687)(2680, 3688)(2681, 3689)(2682, 3690)(2683, 3691)(2684, 3692)(2685, 3693)(2686, 3694)(2687, 3695)(2688, 3696)(2689, 3697)(2690, 3698)(2691, 3699)(2692, 3700)(2693, 3701)(2694, 3702)(2695, 3703)(2696, 3704)(2697, 3705)(2698, 3706)(2699, 3707)(2700, 3708)(2701, 3709)(2702, 3710)(2703, 3711)(2704, 3712)(2705, 3713)(2706, 3714)(2707, 3715)(2708, 3716)(2709, 3717)(2710, 3718)(2711, 3719)(2712, 3720)(2713, 3721)(2714, 3722)(2715, 3723)(2716, 3724)(2717, 3725)(2718, 3726)(2719, 3727)(2720, 3728)(2721, 3729)(2722, 3730)(2723, 3731)(2724, 3732)(2725, 3733)(2726, 3734)(2727, 3735)(2728, 3736)(2729, 3737)(2730, 3738)(2731, 3739)(2732, 3740)(2733, 3741)(2734, 3742)(2735, 3743)(2736, 3744)(2737, 3745)(2738, 3746)(2739, 3747)(2740, 3748)(2741, 3749)(2742, 3750)(2743, 3751)(2744, 3752)(2745, 3753)(2746, 3754)(2747, 3755)(2748, 3756)(2749, 3757)(2750, 3758)(2751, 3759)(2752, 3760)(2753, 3761)(2754, 3762)(2755, 3763)(2756, 3764)(2757, 3765)(2758, 3766)(2759, 3767)(2760, 3768)(2761, 3769)(2762, 3770)(2763, 3771)(2764, 3772)(2765, 3773)(2766, 3774)(2767, 3775)(2768, 3776)(2769, 3777)(2770, 3778)(2771, 3779)(2772, 3780)(2773, 3781)(2774, 3782)(2775, 3783)(2776, 3784)(2777, 3785)(2778, 3786)(2779, 3787)(2780, 3788)(2781, 3789)(2782, 3790)(2783, 3791)(2784, 3792)(2785, 3793)(2786, 3794)(2787, 3795)(2788, 3796)(2789, 3797)(2790, 3798)(2791, 3799)(2792, 3800)(2793, 3801)(2794, 3802)(2795, 3803)(2796, 3804)(2797, 3805)(2798, 3806)(2799, 3807)(2800, 3808)(2801, 3809)(2802, 3810)(2803, 3811)(2804, 3812)(2805, 3813)(2806, 3814)(2807, 3815)(2808, 3816)(2809, 3817)(2810, 3818)(2811, 3819)(2812, 3820)(2813, 3821)(2814, 3822)(2815, 3823)(2816, 3824)(2817, 3825)(2818, 3826)(2819, 3827)(2820, 3828)(2821, 3829)(2822, 3830)(2823, 3831)(2824, 3832)(2825, 3833)(2826, 3834)(2827, 3835)(2828, 3836)(2829, 3837)(2830, 3838)(2831, 3839)(2832, 3840)(2833, 3841)(2834, 3842)(2835, 3843)(2836, 3844)(2837, 3845)(2838, 3846)(2839, 3847)(2840, 3848)(2841, 3849)(2842, 3850)(2843, 3851)(2844, 3852)(2845, 3853)(2846, 3854)(2847, 3855)(2848, 3856)(2849, 3857)(2850, 3858)(2851, 3859)(2852, 3860)(2853, 3861)(2854, 3862)(2855, 3863)(2856, 3864)(2857, 3865)(2858, 3866)(2859, 3867)(2860, 3868)(2861, 3869)(2862, 3870)(2863, 3871)(2864, 3872)(2865, 3873)(2866, 3874)(2867, 3875)(2868, 3876)(2869, 3877)(2870, 3878)(2871, 3879)(2872, 3880)(2873, 3881)(2874, 3882)(2875, 3883)(2876, 3884)(2877, 3885)(2878, 3886)(2879, 3887)(2880, 3888)(2881, 3889)(2882, 3890)(2883, 3891)(2884, 3892)(2885, 3893)(2886, 3894)(2887, 3895)(2888, 3896)(2889, 3897)(2890, 3898)(2891, 3899)(2892, 3900)(2893, 3901)(2894, 3902)(2895, 3903)(2896, 3904)(2897, 3905)(2898, 3906)(2899, 3907)(2900, 3908)(2901, 3909)(2902, 3910)(2903, 3911)(2904, 3912)(2905, 3913)(2906, 3914)(2907, 3915)(2908, 3916)(2909, 3917)(2910, 3918)(2911, 3919)(2912, 3920)(2913, 3921)(2914, 3922)(2915, 3923)(2916, 3924)(2917, 3925)(2918, 3926)(2919, 3927)(2920, 3928)(2921, 3929)(2922, 3930)(2923, 3931)(2924, 3932)(2925, 3933)(2926, 3934)(2927, 3935)(2928, 3936)(2929, 3937)(2930, 3938)(2931, 3939)(2932, 3940)(2933, 3941)(2934, 3942)(2935, 3943)(2936, 3944)(2937, 3945)(2938, 3946)(2939, 3947)(2940, 3948)(2941, 3949)(2942, 3950)(2943, 3951)(2944, 3952)(2945, 3953)(2946, 3954)(2947, 3955)(2948, 3956)(2949, 3957)(2950, 3958)(2951, 3959)(2952, 3960)(2953, 3961)(2954, 3962)(2955, 3963)(2956, 3964)(2957, 3965)(2958, 3966)(2959, 3967)(2960, 3968)(2961, 3969)(2962, 3970)(2963, 3971)(2964, 3972)(2965, 3973)(2966, 3974)(2967, 3975)(2968, 3976)(2969, 3977)(2970, 3978)(2971, 3979)(2972, 3980)(2973, 3981)(2974, 3982)(2975, 3983)(2976, 3984)(2977, 3985)(2978, 3986)(2979, 3987)(2980, 3988)(2981, 3989)(2982, 3990)(2983, 3991)(2984, 3992)(2985, 3993)(2986, 3994)(2987, 3995)(2988, 3996)(2989, 3997)(2990, 3998)(2991, 3999)(2992, 4000)(2993, 4001)(2994, 4002)(2995, 4003)(2996, 4004)(2997, 4005)(2998, 4006)(2999, 4007)(3000, 4008)(3001, 4009)(3002, 4010)(3003, 4011)(3004, 4012)(3005, 4013)(3006, 4014)(3007, 4015)(3008, 4016)(3009, 4017)(3010, 4018)(3011, 4019)(3012, 4020)(3013, 4021)(3014, 4022)(3015, 4023)(3016, 4024)(3017, 4025)(3018, 4026)(3019, 4027)(3020, 4028)(3021, 4029)(3022, 4030)(3023, 4031)(3024, 4032)
	L = (1, 2019)(2, 2022)(3, 2025)(4, 2027)(5, 2017)(6, 2030)(7, 2018)(8, 2020)(9, 2035)(10, 2037)(11, 2038)(12, 2039)(13, 2021)(14, 2043)(15, 2045)(16, 2023)(17, 2024)(18, 2026)(19, 2053)(20, 2055)(21, 2056)(22, 2057)(23, 2059)(24, 2028)(25, 2061)(26, 2029)(27, 2065)(28, 2067)(29, 2068)(30, 2031)(31, 2070)(32, 2032)(33, 2073)(34, 2033)(35, 2034)(36, 2036)(37, 2042)(38, 2082)(39, 2083)(40, 2084)(41, 2076)(42, 2088)(43, 2089)(44, 2040)(45, 2093)(46, 2041)(47, 2081)(48, 2044)(49, 2048)(50, 2099)(51, 2100)(52, 2101)(53, 2046)(54, 2105)(55, 2047)(56, 2098)(57, 2108)(58, 2049)(59, 2110)(60, 2050)(61, 2113)(62, 2051)(63, 2052)(64, 2054)(65, 2120)(66, 2121)(67, 2122)(68, 2116)(69, 2126)(70, 2058)(71, 2128)(72, 2129)(73, 2131)(74, 2133)(75, 2134)(76, 2060)(77, 2137)(78, 2062)(79, 2063)(80, 2064)(81, 2066)(82, 2145)(83, 2146)(84, 2147)(85, 2150)(86, 2152)(87, 2153)(88, 2069)(89, 2156)(90, 2071)(91, 2072)(92, 2161)(93, 2074)(94, 2165)(95, 2075)(96, 2087)(97, 2168)(98, 2077)(99, 2170)(100, 2078)(101, 2173)(102, 2079)(103, 2080)(104, 2179)(105, 2180)(106, 2176)(107, 2184)(108, 2085)(109, 2186)(110, 2187)(111, 2086)(112, 2190)(113, 2191)(114, 2090)(115, 2092)(116, 2196)(117, 2197)(118, 2198)(119, 2091)(120, 2195)(121, 2202)(122, 2204)(123, 2205)(124, 2094)(125, 2095)(126, 2210)(127, 2096)(128, 2097)(129, 2216)(130, 2217)(131, 2213)(132, 2221)(133, 2102)(134, 2104)(135, 2225)(136, 2226)(137, 2227)(138, 2103)(139, 2224)(140, 2231)(141, 2233)(142, 2234)(143, 2106)(144, 2107)(145, 2240)(146, 2242)(147, 2243)(148, 2109)(149, 2246)(150, 2111)(151, 2112)(152, 2251)(153, 2114)(154, 2255)(155, 2115)(156, 2125)(157, 2258)(158, 2117)(159, 2260)(160, 2118)(161, 2263)(162, 2119)(163, 2267)(164, 2266)(165, 2271)(166, 2123)(167, 2273)(168, 2274)(169, 2124)(170, 2277)(171, 2278)(172, 2280)(173, 2127)(174, 2284)(175, 2283)(176, 2288)(177, 2130)(178, 2132)(179, 2292)(180, 2293)(181, 2294)(182, 2296)(183, 2135)(184, 2136)(185, 2138)(186, 2140)(187, 2304)(188, 2305)(189, 2306)(190, 2139)(191, 2303)(192, 2309)(193, 2141)(194, 2312)(195, 2142)(196, 2314)(197, 2143)(198, 2317)(199, 2144)(200, 2321)(201, 2320)(202, 2325)(203, 2148)(204, 2327)(205, 2328)(206, 2149)(207, 2151)(208, 2332)(209, 2333)(210, 2334)(211, 2336)(212, 2154)(213, 2155)(214, 2157)(215, 2159)(216, 2344)(217, 2345)(218, 2346)(219, 2158)(220, 2343)(221, 2349)(222, 2160)(223, 2162)(224, 2164)(225, 2355)(226, 2356)(227, 2357)(228, 2163)(229, 2354)(230, 2361)(231, 2363)(232, 2364)(233, 2166)(234, 2167)(235, 2370)(236, 2372)(237, 2373)(238, 2169)(239, 2376)(240, 2171)(241, 2172)(242, 2381)(243, 2174)(244, 2385)(245, 2175)(246, 2183)(247, 2388)(248, 2177)(249, 2390)(250, 2178)(251, 2209)(252, 2395)(253, 2181)(254, 2397)(255, 2398)(256, 2182)(257, 2401)(258, 2402)(259, 2404)(260, 2185)(261, 2408)(262, 2407)(263, 2412)(264, 2413)(265, 2188)(266, 2415)(267, 2189)(268, 2368)(269, 2420)(270, 2192)(271, 2422)(272, 2423)(273, 2424)(274, 2193)(275, 2194)(276, 2430)(277, 2431)(278, 2427)(279, 2435)(280, 2437)(281, 2439)(282, 2440)(283, 2199)(284, 2200)(285, 2201)(286, 2203)(287, 2448)(288, 2449)(289, 2450)(290, 2452)(291, 2206)(292, 2207)(293, 2457)(294, 2208)(295, 2394)(296, 2460)(297, 2211)(298, 2464)(299, 2212)(300, 2220)(301, 2467)(302, 2214)(303, 2469)(304, 2215)(305, 2238)(306, 2474)(307, 2218)(308, 2476)(309, 2477)(310, 2219)(311, 2480)(312, 2481)(313, 2483)(314, 2222)(315, 2223)(316, 2489)(317, 2490)(318, 2486)(319, 2494)(320, 2496)(321, 2498)(322, 2499)(323, 2228)(324, 2229)(325, 2230)(326, 2232)(327, 2507)(328, 2508)(329, 2509)(330, 2511)(331, 2235)(332, 2236)(333, 2516)(334, 2237)(335, 2473)(336, 2239)(337, 2241)(338, 2522)(339, 2523)(340, 2524)(341, 2526)(342, 2244)(343, 2245)(344, 2247)(345, 2249)(346, 2534)(347, 2535)(348, 2536)(349, 2248)(350, 2533)(351, 2539)(352, 2250)(353, 2252)(354, 2254)(355, 2545)(356, 2546)(357, 2547)(358, 2253)(359, 2544)(360, 2551)(361, 2553)(362, 2475)(363, 2256)(364, 2257)(365, 2558)(366, 2559)(367, 2560)(368, 2259)(369, 2563)(370, 2261)(371, 2262)(372, 2568)(373, 2264)(374, 2572)(375, 2265)(376, 2270)(377, 2268)(378, 2576)(379, 2577)(380, 2269)(381, 2578)(382, 2579)(383, 2465)(384, 2272)(385, 2584)(386, 2583)(387, 2588)(388, 2589)(389, 2275)(390, 2591)(391, 2276)(392, 2556)(393, 2594)(394, 2279)(395, 2596)(396, 2597)(397, 2598)(398, 2281)(399, 2602)(400, 2282)(401, 2287)(402, 2285)(403, 2606)(404, 2607)(405, 2286)(406, 2608)(407, 2609)(408, 2611)(409, 2289)(410, 2613)(411, 2290)(412, 2615)(413, 2291)(414, 2619)(415, 2618)(416, 2621)(417, 2295)(418, 2623)(419, 2624)(420, 2297)(421, 2299)(422, 2627)(423, 2628)(424, 2629)(425, 2298)(426, 2626)(427, 2605)(428, 2300)(429, 2633)(430, 2301)(431, 2302)(432, 2638)(433, 2512)(434, 2635)(435, 2641)(436, 2642)(437, 2644)(438, 2645)(439, 2307)(440, 2308)(441, 2491)(442, 2310)(443, 2311)(444, 2654)(445, 2582)(446, 2655)(447, 2313)(448, 2658)(449, 2315)(450, 2316)(451, 2661)(452, 2318)(453, 2665)(454, 2319)(455, 2324)(456, 2322)(457, 2669)(458, 2670)(459, 2323)(460, 2671)(461, 2672)(462, 2603)(463, 2326)(464, 2677)(465, 2676)(466, 2681)(467, 2592)(468, 2329)(469, 2683)(470, 2330)(471, 2685)(472, 2331)(473, 2689)(474, 2688)(475, 2691)(476, 2335)(477, 2693)(478, 2694)(479, 2337)(480, 2339)(481, 2542)(482, 2697)(483, 2698)(484, 2338)(485, 2696)(486, 2396)(487, 2340)(488, 2557)(489, 2341)(490, 2342)(491, 2706)(492, 2527)(493, 2703)(494, 2709)(495, 2710)(496, 2711)(497, 2712)(498, 2347)(499, 2348)(500, 2409)(501, 2350)(502, 2351)(503, 2653)(504, 2352)(505, 2353)(506, 2723)(507, 2453)(508, 2720)(509, 2726)(510, 2727)(511, 2728)(512, 2729)(513, 2358)(514, 2359)(515, 2360)(516, 2362)(517, 2737)(518, 2738)(519, 2739)(520, 2432)(521, 2365)(522, 2366)(523, 2744)(524, 2367)(525, 2419)(526, 2369)(527, 2371)(528, 2748)(529, 2436)(530, 2749)(531, 2751)(532, 2374)(533, 2375)(534, 2377)(535, 2379)(536, 2758)(537, 2759)(538, 2378)(539, 2760)(540, 2380)(541, 2382)(542, 2384)(543, 2763)(544, 2764)(545, 2383)(546, 2762)(547, 2768)(548, 2770)(549, 2421)(550, 2386)(551, 2387)(552, 2775)(553, 2776)(554, 2777)(555, 2389)(556, 2678)(557, 2391)(558, 2392)(559, 2393)(560, 2782)(561, 2783)(562, 2785)(563, 2701)(564, 2789)(565, 2399)(566, 2790)(567, 2400)(568, 2773)(569, 2792)(570, 2403)(571, 2794)(572, 2795)(573, 2426)(574, 2405)(575, 2798)(576, 2406)(577, 2411)(578, 2718)(579, 2410)(580, 2800)(581, 2801)(582, 2803)(583, 2675)(584, 2804)(585, 2414)(586, 2807)(587, 2416)(588, 2417)(589, 2418)(590, 2810)(591, 2811)(592, 2813)(593, 2771)(594, 2817)(595, 2485)(596, 2425)(597, 2797)(598, 2434)(599, 2766)(600, 2428)(601, 2822)(602, 2429)(603, 2444)(604, 2825)(605, 2742)(606, 2433)(607, 2767)(608, 2828)(609, 2438)(610, 2831)(611, 2495)(612, 2747)(613, 2784)(614, 2441)(615, 2442)(616, 2443)(617, 2599)(618, 2445)(619, 2446)(620, 2755)(621, 2447)(622, 2840)(623, 2451)(624, 2756)(625, 2843)(626, 2455)(627, 2519)(628, 2722)(629, 2787)(630, 2454)(631, 2845)(632, 2668)(633, 2456)(634, 2793)(635, 2458)(636, 2459)(637, 2461)(638, 2463)(639, 2852)(640, 2462)(641, 2851)(642, 2581)(643, 2856)(644, 2466)(645, 2859)(646, 2860)(647, 2861)(648, 2468)(649, 2814)(650, 2470)(651, 2471)(652, 2472)(653, 2864)(654, 2865)(655, 2867)(656, 2554)(657, 2870)(658, 2478)(659, 2871)(660, 2479)(661, 2858)(662, 2873)(663, 2482)(664, 2875)(665, 2876)(666, 2484)(667, 2819)(668, 2493)(669, 2854)(670, 2487)(671, 2849)(672, 2488)(673, 2503)(674, 2881)(675, 2651)(676, 2492)(677, 2855)(678, 2884)(679, 2497)(680, 2886)(681, 2830)(682, 2866)(683, 2500)(684, 2501)(685, 2502)(686, 2504)(687, 2505)(688, 2835)(689, 2506)(690, 2894)(691, 2510)(692, 2821)(693, 2897)(694, 2514)(695, 2637)(696, 2868)(697, 2513)(698, 2898)(699, 2736)(700, 2515)(701, 2874)(702, 2517)(703, 2518)(704, 2520)(705, 2890)(706, 2521)(707, 2903)(708, 2525)(709, 2879)(710, 2906)(711, 2529)(712, 2705)(713, 2908)(714, 2528)(715, 2907)(716, 2575)(717, 2530)(718, 2774)(719, 2531)(720, 2532)(721, 2913)(722, 2752)(723, 2912)(724, 2914)(725, 2915)(726, 2537)(727, 2538)(728, 2585)(729, 2540)(730, 2541)(731, 2543)(732, 2921)(733, 2695)(734, 2869)(735, 2923)(736, 2839)(737, 2900)(738, 2548)(739, 2549)(740, 2550)(741, 2552)(742, 2925)(743, 2806)(744, 2927)(745, 2555)(746, 2708)(747, 2929)(748, 2931)(749, 2561)(750, 2562)(751, 2564)(752, 2566)(753, 2826)(754, 2933)(755, 2565)(756, 2934)(757, 2567)(758, 2569)(759, 2571)(760, 2936)(761, 2662)(762, 2570)(763, 2595)(764, 2573)(765, 2574)(766, 2941)(767, 2893)(768, 2943)(769, 2940)(770, 2690)(771, 2580)(772, 2647)(773, 2885)(774, 2944)(775, 2587)(776, 2882)(777, 2586)(778, 2877)(779, 2888)(780, 2947)(781, 2590)(782, 2682)(783, 2593)(784, 2808)(785, 2938)(786, 2899)(787, 2601)(788, 2926)(789, 2600)(790, 2837)(791, 2674)(792, 2951)(793, 2604)(794, 2954)(795, 2632)(796, 2955)(797, 2953)(798, 2769)(799, 2610)(800, 2917)(801, 2946)(802, 2956)(803, 2612)(804, 2614)(805, 2616)(806, 2924)(807, 2617)(808, 2620)(809, 2958)(810, 2666)(811, 2622)(812, 2959)(813, 2909)(814, 2625)(815, 2961)(816, 2910)(817, 2916)(818, 2630)(819, 2631)(820, 2634)(821, 2640)(822, 2636)(823, 2715)(824, 2649)(825, 2964)(826, 2639)(827, 2966)(828, 2643)(829, 2967)(830, 2646)(831, 2648)(832, 2650)(833, 2957)(834, 2652)(835, 2725)(836, 2968)(837, 2656)(838, 2657)(839, 2659)(840, 2970)(841, 2939)(842, 2660)(843, 2664)(844, 2972)(845, 2740)(846, 2663)(847, 2667)(848, 2976)(849, 2847)(850, 2977)(851, 2975)(852, 2673)(853, 2714)(854, 2802)(855, 2962)(856, 2680)(857, 2780)(858, 2679)(859, 2796)(860, 2753)(861, 2948)(862, 2684)(863, 2686)(864, 2687)(865, 2928)(866, 2745)(867, 2692)(868, 2979)(869, 2846)(870, 2980)(871, 2788)(872, 2848)(873, 2699)(874, 2700)(875, 2702)(876, 2704)(877, 2732)(878, 2716)(879, 2982)(880, 2707)(881, 2984)(882, 2985)(883, 2713)(884, 2717)(885, 2719)(886, 2721)(887, 2733)(888, 2986)(889, 2724)(890, 2988)(891, 2989)(892, 2812)(893, 2730)(894, 2731)(895, 2734)(896, 2735)(897, 2991)(898, 2992)(899, 2815)(900, 2741)(901, 2818)(902, 2743)(903, 2746)(904, 2832)(905, 2838)(906, 2750)(907, 2754)(908, 2757)(909, 2823)(910, 2996)(911, 2786)(912, 2761)(913, 2891)(914, 2816)(915, 2998)(916, 2765)(917, 2820)(918, 3000)(919, 2772)(920, 3002)(921, 2778)(922, 2779)(923, 3004)(924, 2781)(925, 2850)(926, 2904)(927, 2834)(928, 2844)(929, 2791)(930, 2833)(931, 2999)(932, 3006)(933, 2799)(934, 2805)(935, 2949)(936, 2974)(937, 2809)(938, 2993)(939, 2829)(940, 3009)(941, 2824)(942, 2880)(943, 2827)(944, 2887)(945, 2892)(946, 2836)(947, 2841)(948, 3011)(949, 2842)(950, 3012)(951, 3013)(952, 3014)(953, 2853)(954, 2878)(955, 2857)(956, 3003)(957, 2862)(958, 3016)(959, 2863)(960, 2901)(961, 2889)(962, 2872)(963, 2883)(964, 2902)(965, 2895)(966, 3018)(967, 2896)(968, 3019)(969, 3020)(970, 3001)(971, 2905)(972, 3021)(973, 3022)(974, 2911)(975, 2918)(976, 3015)(977, 2919)(978, 2920)(979, 2922)(980, 3023)(981, 2930)(982, 2932)(983, 3017)(984, 2942)(985, 2935)(986, 2990)(987, 2937)(988, 2963)(989, 2945)(990, 3005)(991, 2952)(992, 2950)(993, 3024)(994, 2960)(995, 2971)(996, 2965)(997, 3010)(998, 2969)(999, 2973)(1000, 2981)(1001, 2978)(1002, 3007)(1003, 2983)(1004, 2995)(1005, 2987)(1006, 2994)(1007, 3008)(1008, 2997)(1009, 3025)(1010, 3026)(1011, 3027)(1012, 3028)(1013, 3029)(1014, 3030)(1015, 3031)(1016, 3032)(1017, 3033)(1018, 3034)(1019, 3035)(1020, 3036)(1021, 3037)(1022, 3038)(1023, 3039)(1024, 3040)(1025, 3041)(1026, 3042)(1027, 3043)(1028, 3044)(1029, 3045)(1030, 3046)(1031, 3047)(1032, 3048)(1033, 3049)(1034, 3050)(1035, 3051)(1036, 3052)(1037, 3053)(1038, 3054)(1039, 3055)(1040, 3056)(1041, 3057)(1042, 3058)(1043, 3059)(1044, 3060)(1045, 3061)(1046, 3062)(1047, 3063)(1048, 3064)(1049, 3065)(1050, 3066)(1051, 3067)(1052, 3068)(1053, 3069)(1054, 3070)(1055, 3071)(1056, 3072)(1057, 3073)(1058, 3074)(1059, 3075)(1060, 3076)(1061, 3077)(1062, 3078)(1063, 3079)(1064, 3080)(1065, 3081)(1066, 3082)(1067, 3083)(1068, 3084)(1069, 3085)(1070, 3086)(1071, 3087)(1072, 3088)(1073, 3089)(1074, 3090)(1075, 3091)(1076, 3092)(1077, 3093)(1078, 3094)(1079, 3095)(1080, 3096)(1081, 3097)(1082, 3098)(1083, 3099)(1084, 3100)(1085, 3101)(1086, 3102)(1087, 3103)(1088, 3104)(1089, 3105)(1090, 3106)(1091, 3107)(1092, 3108)(1093, 3109)(1094, 3110)(1095, 3111)(1096, 3112)(1097, 3113)(1098, 3114)(1099, 3115)(1100, 3116)(1101, 3117)(1102, 3118)(1103, 3119)(1104, 3120)(1105, 3121)(1106, 3122)(1107, 3123)(1108, 3124)(1109, 3125)(1110, 3126)(1111, 3127)(1112, 3128)(1113, 3129)(1114, 3130)(1115, 3131)(1116, 3132)(1117, 3133)(1118, 3134)(1119, 3135)(1120, 3136)(1121, 3137)(1122, 3138)(1123, 3139)(1124, 3140)(1125, 3141)(1126, 3142)(1127, 3143)(1128, 3144)(1129, 3145)(1130, 3146)(1131, 3147)(1132, 3148)(1133, 3149)(1134, 3150)(1135, 3151)(1136, 3152)(1137, 3153)(1138, 3154)(1139, 3155)(1140, 3156)(1141, 3157)(1142, 3158)(1143, 3159)(1144, 3160)(1145, 3161)(1146, 3162)(1147, 3163)(1148, 3164)(1149, 3165)(1150, 3166)(1151, 3167)(1152, 3168)(1153, 3169)(1154, 3170)(1155, 3171)(1156, 3172)(1157, 3173)(1158, 3174)(1159, 3175)(1160, 3176)(1161, 3177)(1162, 3178)(1163, 3179)(1164, 3180)(1165, 3181)(1166, 3182)(1167, 3183)(1168, 3184)(1169, 3185)(1170, 3186)(1171, 3187)(1172, 3188)(1173, 3189)(1174, 3190)(1175, 3191)(1176, 3192)(1177, 3193)(1178, 3194)(1179, 3195)(1180, 3196)(1181, 3197)(1182, 3198)(1183, 3199)(1184, 3200)(1185, 3201)(1186, 3202)(1187, 3203)(1188, 3204)(1189, 3205)(1190, 3206)(1191, 3207)(1192, 3208)(1193, 3209)(1194, 3210)(1195, 3211)(1196, 3212)(1197, 3213)(1198, 3214)(1199, 3215)(1200, 3216)(1201, 3217)(1202, 3218)(1203, 3219)(1204, 3220)(1205, 3221)(1206, 3222)(1207, 3223)(1208, 3224)(1209, 3225)(1210, 3226)(1211, 3227)(1212, 3228)(1213, 3229)(1214, 3230)(1215, 3231)(1216, 3232)(1217, 3233)(1218, 3234)(1219, 3235)(1220, 3236)(1221, 3237)(1222, 3238)(1223, 3239)(1224, 3240)(1225, 3241)(1226, 3242)(1227, 3243)(1228, 3244)(1229, 3245)(1230, 3246)(1231, 3247)(1232, 3248)(1233, 3249)(1234, 3250)(1235, 3251)(1236, 3252)(1237, 3253)(1238, 3254)(1239, 3255)(1240, 3256)(1241, 3257)(1242, 3258)(1243, 3259)(1244, 3260)(1245, 3261)(1246, 3262)(1247, 3263)(1248, 3264)(1249, 3265)(1250, 3266)(1251, 3267)(1252, 3268)(1253, 3269)(1254, 3270)(1255, 3271)(1256, 3272)(1257, 3273)(1258, 3274)(1259, 3275)(1260, 3276)(1261, 3277)(1262, 3278)(1263, 3279)(1264, 3280)(1265, 3281)(1266, 3282)(1267, 3283)(1268, 3284)(1269, 3285)(1270, 3286)(1271, 3287)(1272, 3288)(1273, 3289)(1274, 3290)(1275, 3291)(1276, 3292)(1277, 3293)(1278, 3294)(1279, 3295)(1280, 3296)(1281, 3297)(1282, 3298)(1283, 3299)(1284, 3300)(1285, 3301)(1286, 3302)(1287, 3303)(1288, 3304)(1289, 3305)(1290, 3306)(1291, 3307)(1292, 3308)(1293, 3309)(1294, 3310)(1295, 3311)(1296, 3312)(1297, 3313)(1298, 3314)(1299, 3315)(1300, 3316)(1301, 3317)(1302, 3318)(1303, 3319)(1304, 3320)(1305, 3321)(1306, 3322)(1307, 3323)(1308, 3324)(1309, 3325)(1310, 3326)(1311, 3327)(1312, 3328)(1313, 3329)(1314, 3330)(1315, 3331)(1316, 3332)(1317, 3333)(1318, 3334)(1319, 3335)(1320, 3336)(1321, 3337)(1322, 3338)(1323, 3339)(1324, 3340)(1325, 3341)(1326, 3342)(1327, 3343)(1328, 3344)(1329, 3345)(1330, 3346)(1331, 3347)(1332, 3348)(1333, 3349)(1334, 3350)(1335, 3351)(1336, 3352)(1337, 3353)(1338, 3354)(1339, 3355)(1340, 3356)(1341, 3357)(1342, 3358)(1343, 3359)(1344, 3360)(1345, 3361)(1346, 3362)(1347, 3363)(1348, 3364)(1349, 3365)(1350, 3366)(1351, 3367)(1352, 3368)(1353, 3369)(1354, 3370)(1355, 3371)(1356, 3372)(1357, 3373)(1358, 3374)(1359, 3375)(1360, 3376)(1361, 3377)(1362, 3378)(1363, 3379)(1364, 3380)(1365, 3381)(1366, 3382)(1367, 3383)(1368, 3384)(1369, 3385)(1370, 3386)(1371, 3387)(1372, 3388)(1373, 3389)(1374, 3390)(1375, 3391)(1376, 3392)(1377, 3393)(1378, 3394)(1379, 3395)(1380, 3396)(1381, 3397)(1382, 3398)(1383, 3399)(1384, 3400)(1385, 3401)(1386, 3402)(1387, 3403)(1388, 3404)(1389, 3405)(1390, 3406)(1391, 3407)(1392, 3408)(1393, 3409)(1394, 3410)(1395, 3411)(1396, 3412)(1397, 3413)(1398, 3414)(1399, 3415)(1400, 3416)(1401, 3417)(1402, 3418)(1403, 3419)(1404, 3420)(1405, 3421)(1406, 3422)(1407, 3423)(1408, 3424)(1409, 3425)(1410, 3426)(1411, 3427)(1412, 3428)(1413, 3429)(1414, 3430)(1415, 3431)(1416, 3432)(1417, 3433)(1418, 3434)(1419, 3435)(1420, 3436)(1421, 3437)(1422, 3438)(1423, 3439)(1424, 3440)(1425, 3441)(1426, 3442)(1427, 3443)(1428, 3444)(1429, 3445)(1430, 3446)(1431, 3447)(1432, 3448)(1433, 3449)(1434, 3450)(1435, 3451)(1436, 3452)(1437, 3453)(1438, 3454)(1439, 3455)(1440, 3456)(1441, 3457)(1442, 3458)(1443, 3459)(1444, 3460)(1445, 3461)(1446, 3462)(1447, 3463)(1448, 3464)(1449, 3465)(1450, 3466)(1451, 3467)(1452, 3468)(1453, 3469)(1454, 3470)(1455, 3471)(1456, 3472)(1457, 3473)(1458, 3474)(1459, 3475)(1460, 3476)(1461, 3477)(1462, 3478)(1463, 3479)(1464, 3480)(1465, 3481)(1466, 3482)(1467, 3483)(1468, 3484)(1469, 3485)(1470, 3486)(1471, 3487)(1472, 3488)(1473, 3489)(1474, 3490)(1475, 3491)(1476, 3492)(1477, 3493)(1478, 3494)(1479, 3495)(1480, 3496)(1481, 3497)(1482, 3498)(1483, 3499)(1484, 3500)(1485, 3501)(1486, 3502)(1487, 3503)(1488, 3504)(1489, 3505)(1490, 3506)(1491, 3507)(1492, 3508)(1493, 3509)(1494, 3510)(1495, 3511)(1496, 3512)(1497, 3513)(1498, 3514)(1499, 3515)(1500, 3516)(1501, 3517)(1502, 3518)(1503, 3519)(1504, 3520)(1505, 3521)(1506, 3522)(1507, 3523)(1508, 3524)(1509, 3525)(1510, 3526)(1511, 3527)(1512, 3528)(1513, 3529)(1514, 3530)(1515, 3531)(1516, 3532)(1517, 3533)(1518, 3534)(1519, 3535)(1520, 3536)(1521, 3537)(1522, 3538)(1523, 3539)(1524, 3540)(1525, 3541)(1526, 3542)(1527, 3543)(1528, 3544)(1529, 3545)(1530, 3546)(1531, 3547)(1532, 3548)(1533, 3549)(1534, 3550)(1535, 3551)(1536, 3552)(1537, 3553)(1538, 3554)(1539, 3555)(1540, 3556)(1541, 3557)(1542, 3558)(1543, 3559)(1544, 3560)(1545, 3561)(1546, 3562)(1547, 3563)(1548, 3564)(1549, 3565)(1550, 3566)(1551, 3567)(1552, 3568)(1553, 3569)(1554, 3570)(1555, 3571)(1556, 3572)(1557, 3573)(1558, 3574)(1559, 3575)(1560, 3576)(1561, 3577)(1562, 3578)(1563, 3579)(1564, 3580)(1565, 3581)(1566, 3582)(1567, 3583)(1568, 3584)(1569, 3585)(1570, 3586)(1571, 3587)(1572, 3588)(1573, 3589)(1574, 3590)(1575, 3591)(1576, 3592)(1577, 3593)(1578, 3594)(1579, 3595)(1580, 3596)(1581, 3597)(1582, 3598)(1583, 3599)(1584, 3600)(1585, 3601)(1586, 3602)(1587, 3603)(1588, 3604)(1589, 3605)(1590, 3606)(1591, 3607)(1592, 3608)(1593, 3609)(1594, 3610)(1595, 3611)(1596, 3612)(1597, 3613)(1598, 3614)(1599, 3615)(1600, 3616)(1601, 3617)(1602, 3618)(1603, 3619)(1604, 3620)(1605, 3621)(1606, 3622)(1607, 3623)(1608, 3624)(1609, 3625)(1610, 3626)(1611, 3627)(1612, 3628)(1613, 3629)(1614, 3630)(1615, 3631)(1616, 3632)(1617, 3633)(1618, 3634)(1619, 3635)(1620, 3636)(1621, 3637)(1622, 3638)(1623, 3639)(1624, 3640)(1625, 3641)(1626, 3642)(1627, 3643)(1628, 3644)(1629, 3645)(1630, 3646)(1631, 3647)(1632, 3648)(1633, 3649)(1634, 3650)(1635, 3651)(1636, 3652)(1637, 3653)(1638, 3654)(1639, 3655)(1640, 3656)(1641, 3657)(1642, 3658)(1643, 3659)(1644, 3660)(1645, 3661)(1646, 3662)(1647, 3663)(1648, 3664)(1649, 3665)(1650, 3666)(1651, 3667)(1652, 3668)(1653, 3669)(1654, 3670)(1655, 3671)(1656, 3672)(1657, 3673)(1658, 3674)(1659, 3675)(1660, 3676)(1661, 3677)(1662, 3678)(1663, 3679)(1664, 3680)(1665, 3681)(1666, 3682)(1667, 3683)(1668, 3684)(1669, 3685)(1670, 3686)(1671, 3687)(1672, 3688)(1673, 3689)(1674, 3690)(1675, 3691)(1676, 3692)(1677, 3693)(1678, 3694)(1679, 3695)(1680, 3696)(1681, 3697)(1682, 3698)(1683, 3699)(1684, 3700)(1685, 3701)(1686, 3702)(1687, 3703)(1688, 3704)(1689, 3705)(1690, 3706)(1691, 3707)(1692, 3708)(1693, 3709)(1694, 3710)(1695, 3711)(1696, 3712)(1697, 3713)(1698, 3714)(1699, 3715)(1700, 3716)(1701, 3717)(1702, 3718)(1703, 3719)(1704, 3720)(1705, 3721)(1706, 3722)(1707, 3723)(1708, 3724)(1709, 3725)(1710, 3726)(1711, 3727)(1712, 3728)(1713, 3729)(1714, 3730)(1715, 3731)(1716, 3732)(1717, 3733)(1718, 3734)(1719, 3735)(1720, 3736)(1721, 3737)(1722, 3738)(1723, 3739)(1724, 3740)(1725, 3741)(1726, 3742)(1727, 3743)(1728, 3744)(1729, 3745)(1730, 3746)(1731, 3747)(1732, 3748)(1733, 3749)(1734, 3750)(1735, 3751)(1736, 3752)(1737, 3753)(1738, 3754)(1739, 3755)(1740, 3756)(1741, 3757)(1742, 3758)(1743, 3759)(1744, 3760)(1745, 3761)(1746, 3762)(1747, 3763)(1748, 3764)(1749, 3765)(1750, 3766)(1751, 3767)(1752, 3768)(1753, 3769)(1754, 3770)(1755, 3771)(1756, 3772)(1757, 3773)(1758, 3774)(1759, 3775)(1760, 3776)(1761, 3777)(1762, 3778)(1763, 3779)(1764, 3780)(1765, 3781)(1766, 3782)(1767, 3783)(1768, 3784)(1769, 3785)(1770, 3786)(1771, 3787)(1772, 3788)(1773, 3789)(1774, 3790)(1775, 3791)(1776, 3792)(1777, 3793)(1778, 3794)(1779, 3795)(1780, 3796)(1781, 3797)(1782, 3798)(1783, 3799)(1784, 3800)(1785, 3801)(1786, 3802)(1787, 3803)(1788, 3804)(1789, 3805)(1790, 3806)(1791, 3807)(1792, 3808)(1793, 3809)(1794, 3810)(1795, 3811)(1796, 3812)(1797, 3813)(1798, 3814)(1799, 3815)(1800, 3816)(1801, 3817)(1802, 3818)(1803, 3819)(1804, 3820)(1805, 3821)(1806, 3822)(1807, 3823)(1808, 3824)(1809, 3825)(1810, 3826)(1811, 3827)(1812, 3828)(1813, 3829)(1814, 3830)(1815, 3831)(1816, 3832)(1817, 3833)(1818, 3834)(1819, 3835)(1820, 3836)(1821, 3837)(1822, 3838)(1823, 3839)(1824, 3840)(1825, 3841)(1826, 3842)(1827, 3843)(1828, 3844)(1829, 3845)(1830, 3846)(1831, 3847)(1832, 3848)(1833, 3849)(1834, 3850)(1835, 3851)(1836, 3852)(1837, 3853)(1838, 3854)(1839, 3855)(1840, 3856)(1841, 3857)(1842, 3858)(1843, 3859)(1844, 3860)(1845, 3861)(1846, 3862)(1847, 3863)(1848, 3864)(1849, 3865)(1850, 3866)(1851, 3867)(1852, 3868)(1853, 3869)(1854, 3870)(1855, 3871)(1856, 3872)(1857, 3873)(1858, 3874)(1859, 3875)(1860, 3876)(1861, 3877)(1862, 3878)(1863, 3879)(1864, 3880)(1865, 3881)(1866, 3882)(1867, 3883)(1868, 3884)(1869, 3885)(1870, 3886)(1871, 3887)(1872, 3888)(1873, 3889)(1874, 3890)(1875, 3891)(1876, 3892)(1877, 3893)(1878, 3894)(1879, 3895)(1880, 3896)(1881, 3897)(1882, 3898)(1883, 3899)(1884, 3900)(1885, 3901)(1886, 3902)(1887, 3903)(1888, 3904)(1889, 3905)(1890, 3906)(1891, 3907)(1892, 3908)(1893, 3909)(1894, 3910)(1895, 3911)(1896, 3912)(1897, 3913)(1898, 3914)(1899, 3915)(1900, 3916)(1901, 3917)(1902, 3918)(1903, 3919)(1904, 3920)(1905, 3921)(1906, 3922)(1907, 3923)(1908, 3924)(1909, 3925)(1910, 3926)(1911, 3927)(1912, 3928)(1913, 3929)(1914, 3930)(1915, 3931)(1916, 3932)(1917, 3933)(1918, 3934)(1919, 3935)(1920, 3936)(1921, 3937)(1922, 3938)(1923, 3939)(1924, 3940)(1925, 3941)(1926, 3942)(1927, 3943)(1928, 3944)(1929, 3945)(1930, 3946)(1931, 3947)(1932, 3948)(1933, 3949)(1934, 3950)(1935, 3951)(1936, 3952)(1937, 3953)(1938, 3954)(1939, 3955)(1940, 3956)(1941, 3957)(1942, 3958)(1943, 3959)(1944, 3960)(1945, 3961)(1946, 3962)(1947, 3963)(1948, 3964)(1949, 3965)(1950, 3966)(1951, 3967)(1952, 3968)(1953, 3969)(1954, 3970)(1955, 3971)(1956, 3972)(1957, 3973)(1958, 3974)(1959, 3975)(1960, 3976)(1961, 3977)(1962, 3978)(1963, 3979)(1964, 3980)(1965, 3981)(1966, 3982)(1967, 3983)(1968, 3984)(1969, 3985)(1970, 3986)(1971, 3987)(1972, 3988)(1973, 3989)(1974, 3990)(1975, 3991)(1976, 3992)(1977, 3993)(1978, 3994)(1979, 3995)(1980, 3996)(1981, 3997)(1982, 3998)(1983, 3999)(1984, 4000)(1985, 4001)(1986, 4002)(1987, 4003)(1988, 4004)(1989, 4005)(1990, 4006)(1991, 4007)(1992, 4008)(1993, 4009)(1994, 4010)(1995, 4011)(1996, 4012)(1997, 4013)(1998, 4014)(1999, 4015)(2000, 4016)(2001, 4017)(2002, 4018)(2003, 4019)(2004, 4020)(2005, 4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1786
Graph:: simple bipartite
	v = 1344 e = 2016 f = 630
	degree seq :: [ 2^1008, 6^336 ]

E22.1789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<1008, 881>$ (small group id <1008, 881>)
Aut   = $<2016, -1>$ (small group id <2016, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^8, Y3^-1 * Y1 * Y3^-3 * Y1^-1 * Y3^2 * Y1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1, (Y3^2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^2 * Y1^-1)^2, Y3^2 * Y1^-1 * Y3^4 * Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-6 * Y1 * Y3^-4 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^3 * Y1^-1 * Y3^4 * Y1^-1 * Y3^2 * Y1^-1, Y3^2 * Y1^-1 * Y3^-3 * Y1 * Y3^3 * Y1^-1 * Y3^-2 * Y1 * Y3^-3 * Y1^-1 * Y3^2 * Y1^-1 * Y3^4 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 1009, 2, 1010, 4, 1012)(3, 1011, 8, 1016, 10, 1018)(5, 1013, 12, 1020, 6, 1014)(7, 1015, 15, 1023, 11, 1019)(9, 1017, 18, 1026, 20, 1028)(13, 1021, 25, 1033, 23, 1031)(14, 1022, 24, 1032, 28, 1036)(16, 1024, 31, 1039, 29, 1037)(17, 1025, 33, 1041, 21, 1029)(19, 1027, 36, 1044, 38, 1046)(22, 1030, 30, 1038, 42, 1050)(26, 1034, 47, 1055, 45, 1053)(27, 1035, 48, 1056, 50, 1058)(32, 1040, 56, 1064, 54, 1062)(34, 1042, 59, 1067, 57, 1065)(35, 1043, 61, 1069, 39, 1047)(37, 1045, 64, 1072, 65, 1073)(40, 1048, 58, 1066, 69, 1077)(41, 1049, 70, 1078, 71, 1079)(43, 1051, 46, 1054, 74, 1082)(44, 1052, 75, 1083, 51, 1059)(49, 1057, 81, 1089, 82, 1090)(52, 1060, 55, 1063, 86, 1094)(53, 1061, 87, 1095, 72, 1080)(60, 1068, 96, 1104, 94, 1102)(62, 1070, 99, 1107, 97, 1105)(63, 1071, 101, 1109, 66, 1074)(67, 1075, 98, 1106, 107, 1115)(68, 1076, 108, 1116, 109, 1117)(73, 1081, 114, 1122, 116, 1124)(76, 1084, 120, 1128, 118, 1126)(77, 1085, 79, 1087, 122, 1130)(78, 1086, 123, 1131, 117, 1125)(80, 1088, 126, 1134, 83, 1091)(84, 1092, 119, 1127, 132, 1140)(85, 1093, 133, 1141, 135, 1143)(88, 1096, 139, 1147, 137, 1145)(89, 1097, 91, 1099, 141, 1149)(90, 1098, 142, 1150, 136, 1144)(92, 1100, 95, 1103, 146, 1154)(93, 1101, 147, 1155, 110, 1118)(100, 1108, 156, 1164, 154, 1162)(102, 1110, 159, 1167, 157, 1165)(103, 1111, 161, 1169, 104, 1112)(105, 1113, 158, 1166, 165, 1173)(106, 1114, 166, 1174, 167, 1175)(111, 1119, 172, 1180, 112, 1120)(113, 1121, 138, 1146, 176, 1184)(115, 1123, 178, 1186, 179, 1187)(121, 1129, 185, 1193, 187, 1195)(124, 1132, 191, 1199, 189, 1197)(125, 1133, 192, 1200, 188, 1196)(127, 1135, 196, 1204, 194, 1202)(128, 1136, 198, 1206, 129, 1137)(130, 1138, 195, 1203, 202, 1210)(131, 1139, 203, 1211, 204, 1212)(134, 1142, 207, 1215, 208, 1216)(140, 1148, 214, 1222, 216, 1224)(143, 1151, 220, 1228, 218, 1226)(144, 1152, 221, 1229, 217, 1225)(145, 1153, 223, 1231, 225, 1233)(148, 1156, 229, 1237, 227, 1235)(149, 1157, 151, 1159, 231, 1239)(150, 1158, 232, 1240, 226, 1234)(152, 1160, 155, 1163, 236, 1244)(153, 1161, 237, 1245, 168, 1176)(160, 1168, 246, 1254, 244, 1252)(162, 1170, 249, 1257, 247, 1255)(163, 1171, 248, 1256, 252, 1260)(164, 1172, 253, 1261, 254, 1262)(169, 1177, 259, 1267, 170, 1178)(171, 1179, 228, 1236, 263, 1271)(173, 1181, 266, 1274, 264, 1272)(174, 1182, 265, 1273, 269, 1277)(175, 1183, 270, 1278, 271, 1279)(177, 1185, 273, 1281, 180, 1188)(181, 1189, 190, 1198, 279, 1287)(182, 1190, 184, 1192, 281, 1289)(183, 1191, 282, 1290, 205, 1213)(186, 1194, 286, 1294, 287, 1295)(193, 1201, 295, 1303, 293, 1301)(197, 1205, 300, 1308, 298, 1306)(199, 1207, 303, 1311, 301, 1309)(200, 1208, 302, 1310, 306, 1314)(201, 1209, 307, 1315, 308, 1316)(206, 1214, 313, 1321, 209, 1217)(210, 1218, 219, 1227, 319, 1327)(211, 1219, 213, 1221, 321, 1329)(212, 1220, 322, 1330, 272, 1280)(215, 1223, 326, 1334, 327, 1335)(222, 1230, 335, 1343, 333, 1341)(224, 1232, 337, 1345, 338, 1346)(230, 1238, 344, 1352, 346, 1354)(233, 1241, 350, 1358, 348, 1356)(234, 1242, 351, 1359, 347, 1355)(235, 1243, 296, 1304, 299, 1307)(238, 1246, 357, 1365, 355, 1363)(239, 1247, 241, 1249, 359, 1367)(240, 1248, 360, 1368, 354, 1362)(242, 1250, 245, 1253, 320, 1328)(243, 1251, 363, 1371, 255, 1263)(250, 1258, 372, 1380, 370, 1378)(251, 1259, 373, 1381, 374, 1382)(256, 1264, 379, 1387, 257, 1265)(258, 1266, 356, 1364, 383, 1391)(260, 1268, 328, 1336, 325, 1333)(261, 1269, 384, 1392, 387, 1395)(262, 1270, 388, 1396, 389, 1397)(267, 1275, 395, 1403, 393, 1401)(268, 1276, 396, 1404, 397, 1405)(274, 1282, 339, 1347, 336, 1344)(275, 1283, 404, 1412, 276, 1284)(277, 1285, 402, 1410, 408, 1416)(278, 1286, 409, 1417, 410, 1418)(280, 1288, 391, 1399, 394, 1402)(283, 1291, 416, 1424, 414, 1422)(284, 1292, 417, 1425, 413, 1421)(285, 1293, 314, 1322, 288, 1296)(289, 1297, 294, 1302, 423, 1431)(290, 1298, 292, 1300, 425, 1433)(291, 1299, 426, 1434, 411, 1419)(297, 1305, 432, 1440, 309, 1317)(304, 1312, 441, 1449, 439, 1447)(305, 1313, 442, 1450, 443, 1451)(310, 1318, 448, 1456, 311, 1319)(312, 1320, 415, 1423, 452, 1460)(315, 1323, 455, 1463, 316, 1324)(317, 1325, 453, 1461, 459, 1467)(318, 1326, 460, 1468, 461, 1469)(323, 1331, 467, 1475, 465, 1473)(324, 1332, 468, 1476, 464, 1472)(329, 1337, 334, 1342, 474, 1482)(330, 1338, 332, 1340, 476, 1484)(331, 1339, 477, 1485, 462, 1470)(340, 1348, 349, 1357, 487, 1495)(341, 1349, 343, 1351, 489, 1497)(342, 1350, 490, 1498, 390, 1398)(345, 1353, 494, 1502, 495, 1503)(352, 1360, 503, 1511, 501, 1509)(353, 1361, 435, 1443, 504, 1512)(358, 1366, 508, 1516, 510, 1518)(361, 1369, 514, 1522, 512, 1520)(362, 1370, 515, 1523, 511, 1519)(364, 1372, 519, 1527, 517, 1525)(365, 1373, 367, 1375, 521, 1529)(366, 1374, 522, 1530, 463, 1471)(368, 1376, 371, 1379, 488, 1496)(369, 1377, 449, 1457, 375, 1383)(376, 1384, 531, 1539, 377, 1385)(378, 1386, 518, 1526, 478, 1486)(380, 1388, 496, 1504, 493, 1501)(381, 1389, 535, 1543, 479, 1487)(382, 1390, 538, 1546, 481, 1489)(385, 1393, 540, 1548, 472, 1480)(386, 1394, 541, 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3855)(2848, 3856)(2849, 3857)(2850, 3858)(2851, 3859)(2852, 3860)(2853, 3861)(2854, 3862)(2855, 3863)(2856, 3864)(2857, 3865)(2858, 3866)(2859, 3867)(2860, 3868)(2861, 3869)(2862, 3870)(2863, 3871)(2864, 3872)(2865, 3873)(2866, 3874)(2867, 3875)(2868, 3876)(2869, 3877)(2870, 3878)(2871, 3879)(2872, 3880)(2873, 3881)(2874, 3882)(2875, 3883)(2876, 3884)(2877, 3885)(2878, 3886)(2879, 3887)(2880, 3888)(2881, 3889)(2882, 3890)(2883, 3891)(2884, 3892)(2885, 3893)(2886, 3894)(2887, 3895)(2888, 3896)(2889, 3897)(2890, 3898)(2891, 3899)(2892, 3900)(2893, 3901)(2894, 3902)(2895, 3903)(2896, 3904)(2897, 3905)(2898, 3906)(2899, 3907)(2900, 3908)(2901, 3909)(2902, 3910)(2903, 3911)(2904, 3912)(2905, 3913)(2906, 3914)(2907, 3915)(2908, 3916)(2909, 3917)(2910, 3918)(2911, 3919)(2912, 3920)(2913, 3921)(2914, 3922)(2915, 3923)(2916, 3924)(2917, 3925)(2918, 3926)(2919, 3927)(2920, 3928)(2921, 3929)(2922, 3930)(2923, 3931)(2924, 3932)(2925, 3933)(2926, 3934)(2927, 3935)(2928, 3936)(2929, 3937)(2930, 3938)(2931, 3939)(2932, 3940)(2933, 3941)(2934, 3942)(2935, 3943)(2936, 3944)(2937, 3945)(2938, 3946)(2939, 3947)(2940, 3948)(2941, 3949)(2942, 3950)(2943, 3951)(2944, 3952)(2945, 3953)(2946, 3954)(2947, 3955)(2948, 3956)(2949, 3957)(2950, 3958)(2951, 3959)(2952, 3960)(2953, 3961)(2954, 3962)(2955, 3963)(2956, 3964)(2957, 3965)(2958, 3966)(2959, 3967)(2960, 3968)(2961, 3969)(2962, 3970)(2963, 3971)(2964, 3972)(2965, 3973)(2966, 3974)(2967, 3975)(2968, 3976)(2969, 3977)(2970, 3978)(2971, 3979)(2972, 3980)(2973, 3981)(2974, 3982)(2975, 3983)(2976, 3984)(2977, 3985)(2978, 3986)(2979, 3987)(2980, 3988)(2981, 3989)(2982, 3990)(2983, 3991)(2984, 3992)(2985, 3993)(2986, 3994)(2987, 3995)(2988, 3996)(2989, 3997)(2990, 3998)(2991, 3999)(2992, 4000)(2993, 4001)(2994, 4002)(2995, 4003)(2996, 4004)(2997, 4005)(2998, 4006)(2999, 4007)(3000, 4008)(3001, 4009)(3002, 4010)(3003, 4011)(3004, 4012)(3005, 4013)(3006, 4014)(3007, 4015)(3008, 4016)(3009, 4017)(3010, 4018)(3011, 4019)(3012, 4020)(3013, 4021)(3014, 4022)(3015, 4023)(3016, 4024)(3017, 4025)(3018, 4026)(3019, 4027)(3020, 4028)(3021, 4029)(3022, 4030)(3023, 4031)(3024, 4032)
	L = (1, 2019)(2, 2022)(3, 2025)(4, 2027)(5, 2017)(6, 2030)(7, 2018)(8, 2020)(9, 2035)(10, 2037)(11, 2038)(12, 2039)(13, 2021)(14, 2043)(15, 2045)(16, 2023)(17, 2024)(18, 2026)(19, 2053)(20, 2055)(21, 2056)(22, 2057)(23, 2059)(24, 2028)(25, 2061)(26, 2029)(27, 2065)(28, 2067)(29, 2068)(30, 2031)(31, 2070)(32, 2032)(33, 2073)(34, 2033)(35, 2034)(36, 2036)(37, 2042)(38, 2082)(39, 2083)(40, 2084)(41, 2076)(42, 2088)(43, 2089)(44, 2040)(45, 2093)(46, 2041)(47, 2081)(48, 2044)(49, 2048)(50, 2099)(51, 2100)(52, 2101)(53, 2046)(54, 2105)(55, 2047)(56, 2098)(57, 2108)(58, 2049)(59, 2110)(60, 2050)(61, 2113)(62, 2051)(63, 2052)(64, 2054)(65, 2120)(66, 2121)(67, 2122)(68, 2116)(69, 2126)(70, 2058)(71, 2128)(72, 2129)(73, 2131)(74, 2133)(75, 2134)(76, 2060)(77, 2137)(78, 2062)(79, 2063)(80, 2064)(81, 2066)(82, 2145)(83, 2146)(84, 2147)(85, 2150)(86, 2152)(87, 2153)(88, 2069)(89, 2156)(90, 2071)(91, 2072)(92, 2161)(93, 2074)(94, 2165)(95, 2075)(96, 2087)(97, 2168)(98, 2077)(99, 2170)(100, 2078)(101, 2173)(102, 2079)(103, 2080)(104, 2179)(105, 2180)(106, 2176)(107, 2184)(108, 2085)(109, 2186)(110, 2187)(111, 2086)(112, 2190)(113, 2191)(114, 2090)(115, 2092)(116, 2196)(117, 2197)(118, 2198)(119, 2091)(120, 2195)(121, 2202)(122, 2204)(123, 2205)(124, 2094)(125, 2095)(126, 2210)(127, 2096)(128, 2097)(129, 2216)(130, 2217)(131, 2213)(132, 2221)(133, 2102)(134, 2104)(135, 2225)(136, 2226)(137, 2227)(138, 2103)(139, 2224)(140, 2231)(141, 2233)(142, 2234)(143, 2106)(144, 2107)(145, 2240)(146, 2242)(147, 2243)(148, 2109)(149, 2246)(150, 2111)(151, 2112)(152, 2251)(153, 2114)(154, 2255)(155, 2115)(156, 2125)(157, 2258)(158, 2117)(159, 2260)(160, 2118)(161, 2263)(162, 2119)(163, 2267)(164, 2266)(165, 2271)(166, 2123)(167, 2273)(168, 2274)(169, 2124)(170, 2277)(171, 2278)(172, 2280)(173, 2127)(174, 2284)(175, 2283)(176, 2288)(177, 2130)(178, 2132)(179, 2292)(180, 2293)(181, 2294)(182, 2296)(183, 2135)(184, 2136)(185, 2138)(186, 2140)(187, 2304)(188, 2305)(189, 2306)(190, 2139)(191, 2303)(192, 2309)(193, 2141)(194, 2312)(195, 2142)(196, 2314)(197, 2143)(198, 2317)(199, 2144)(200, 2321)(201, 2320)(202, 2325)(203, 2148)(204, 2327)(205, 2328)(206, 2149)(207, 2151)(208, 2332)(209, 2333)(210, 2334)(211, 2336)(212, 2154)(213, 2155)(214, 2157)(215, 2159)(216, 2344)(217, 2345)(218, 2346)(219, 2158)(220, 2343)(221, 2349)(222, 2160)(223, 2162)(224, 2164)(225, 2355)(226, 2356)(227, 2357)(228, 2163)(229, 2354)(230, 2361)(231, 2363)(232, 2364)(233, 2166)(234, 2167)(235, 2369)(236, 2370)(237, 2371)(238, 2169)(239, 2374)(240, 2171)(241, 2172)(242, 2337)(243, 2174)(244, 2381)(245, 2175)(246, 2183)(247, 2384)(248, 2177)(249, 2386)(250, 2178)(251, 2209)(252, 2391)(253, 2181)(254, 2393)(255, 2394)(256, 2182)(257, 2397)(258, 2398)(259, 2341)(260, 2185)(261, 2402)(262, 2401)(263, 2406)(264, 2407)(265, 2188)(266, 2409)(267, 2189)(268, 2368)(269, 2414)(270, 2192)(271, 2416)(272, 2417)(273, 2352)(274, 2193)(275, 2194)(276, 2422)(277, 2423)(278, 2419)(279, 2427)(280, 2428)(281, 2429)(282, 2430)(283, 2199)(284, 2200)(285, 2201)(286, 2203)(287, 2436)(288, 2437)(289, 2438)(290, 2440)(291, 2206)(292, 2207)(293, 2445)(294, 2208)(295, 2390)(296, 2252)(297, 2211)(298, 2450)(299, 2212)(300, 2220)(301, 2453)(302, 2214)(303, 2455)(304, 2215)(305, 2238)(306, 2460)(307, 2218)(308, 2462)(309, 2463)(310, 2219)(311, 2466)(312, 2467)(313, 2301)(314, 2222)(315, 2223)(316, 2473)(317, 2474)(318, 2470)(319, 2478)(320, 2479)(321, 2480)(322, 2481)(323, 2228)(324, 2229)(325, 2230)(326, 2232)(327, 2487)(328, 2488)(329, 2489)(330, 2491)(331, 2235)(332, 2236)(333, 2496)(334, 2237)(335, 2459)(336, 2239)(337, 2241)(338, 2500)(339, 2501)(340, 2502)(341, 2504)(342, 2244)(343, 2245)(344, 2247)(345, 2249)(346, 2512)(347, 2513)(348, 2514)(349, 2248)(350, 2511)(351, 2517)(352, 2250)(353, 2254)(354, 2449)(355, 2521)(356, 2253)(357, 2520)(358, 2525)(359, 2527)(360, 2528)(361, 2256)(362, 2257)(363, 2533)(364, 2259)(365, 2536)(366, 2261)(367, 2262)(368, 2505)(369, 2264)(370, 2541)(371, 2265)(372, 2270)(373, 2268)(374, 2545)(375, 2546)(376, 2269)(377, 2549)(378, 2550)(379, 2509)(380, 2272)(381, 2553)(382, 2552)(383, 2555)(384, 2275)(385, 2276)(386, 2532)(387, 2559)(388, 2279)(389, 2561)(390, 2562)(391, 2297)(392, 2281)(393, 2565)(394, 2282)(395, 2287)(396, 2285)(397, 2569)(398, 2570)(399, 2286)(400, 2573)(401, 2574)(402, 2289)(403, 2290)(404, 2577)(405, 2291)(406, 2581)(407, 2580)(408, 2585)(409, 2295)(410, 2535)(411, 2586)(412, 2299)(413, 2564)(414, 2588)(415, 2298)(416, 2587)(417, 2589)(418, 2300)(419, 2302)(420, 2593)(421, 2594)(422, 2469)(423, 2596)(424, 2597)(425, 2598)(426, 2599)(427, 2307)(428, 2308)(429, 2601)(430, 2310)(431, 2311)(432, 2605)(433, 2313)(434, 2607)(435, 2315)(436, 2316)(437, 2441)(438, 2318)(439, 2611)(440, 2319)(441, 2324)(442, 2322)(443, 2615)(444, 2616)(445, 2323)(446, 2619)(447, 2620)(448, 2385)(449, 2326)(450, 2623)(451, 2622)(452, 2625)(453, 2329)(454, 2330)(455, 2626)(456, 2331)(457, 2630)(458, 2629)(459, 2523)(460, 2335)(461, 2529)(462, 2634)(463, 2339)(464, 2380)(465, 2635)(466, 2338)(467, 2538)(468, 2636)(469, 2340)(470, 2342)(471, 2640)(472, 2641)(473, 2400)(474, 2554)(475, 2642)(476, 2551)(477, 2534)(478, 2347)(479, 2348)(480, 2644)(481, 2350)(482, 2351)(483, 2353)(484, 2650)(485, 2651)(486, 2418)(487, 2624)(488, 2652)(489, 2621)(490, 2606)(491, 2358)(492, 2359)(493, 2360)(494, 2362)(495, 2655)(496, 2656)(497, 2492)(498, 2657)(499, 2365)(500, 2366)(501, 2661)(502, 2367)(503, 2413)(504, 2664)(505, 2439)(506, 2372)(507, 2373)(508, 2375)(509, 2377)(510, 2668)(511, 2669)(512, 2670)(513, 2376)(514, 2667)(515, 2672)(516, 2378)(517, 2425)(518, 2379)(519, 2484)(520, 2676)(521, 2678)(522, 2679)(523, 2382)(524, 2383)(525, 2683)(526, 2387)(527, 2388)(528, 2389)(529, 2689)(530, 2690)(531, 2665)(532, 2392)(533, 2693)(534, 2692)(535, 2395)(536, 2396)(537, 2682)(538, 2399)(539, 2431)(540, 2405)(541, 2403)(542, 2697)(543, 2432)(544, 2404)(545, 2433)(546, 2442)(547, 2560)(548, 2408)(549, 2698)(550, 2410)(551, 2411)(552, 2412)(553, 2704)(554, 2705)(555, 2454)(556, 2415)(557, 2707)(558, 2706)(559, 2522)(560, 2426)(561, 2709)(562, 2420)(563, 2711)(564, 2421)(565, 2434)(566, 2716)(567, 2424)(568, 2718)(569, 2483)(570, 2493)(571, 2719)(572, 2490)(573, 2720)(574, 2715)(575, 2722)(576, 2435)(577, 2726)(578, 2725)(579, 2477)(580, 2575)(581, 2443)(582, 2571)(583, 2563)(584, 2444)(585, 2731)(586, 2732)(587, 2446)(588, 2447)(589, 2476)(590, 2448)(591, 2735)(592, 2737)(593, 2451)(594, 2452)(595, 2741)(596, 2456)(597, 2457)(598, 2458)(599, 2747)(600, 2748)(601, 2710)(602, 2461)(603, 2750)(604, 2749)(605, 2464)(606, 2465)(607, 2740)(608, 2468)(609, 2482)(610, 2752)(611, 2471)(612, 2754)(613, 2472)(614, 2485)(615, 2759)(616, 2475)(617, 2761)(618, 2506)(619, 2503)(620, 2762)(621, 2758)(622, 2764)(623, 2486)(624, 2768)(625, 2767)(626, 2494)(627, 2495)(628, 2771)(629, 2772)(630, 2497)(631, 2498)(632, 2774)(633, 2499)(634, 2778)(635, 2777)(636, 2507)(637, 2508)(638, 2510)(639, 2783)(640, 2784)(641, 2785)(642, 2691)(643, 2515)(644, 2516)(645, 2787)(646, 2518)(647, 2519)(648, 2791)(649, 2524)(650, 2526)(651, 2793)(652, 2794)(653, 2658)(654, 2795)(655, 2530)(656, 2798)(657, 2531)(658, 2558)(659, 2537)(660, 2539)(661, 2804)(662, 2805)(663, 2806)(664, 2803)(665, 2808)(666, 2540)(667, 2812)(668, 2814)(669, 2542)(670, 2543)(671, 2801)(672, 2544)(673, 2820)(674, 2819)(675, 2547)(676, 2548)(677, 2817)(678, 2822)(679, 2556)(680, 2557)(681, 2826)(682, 2828)(683, 2830)(684, 2566)(685, 2567)(686, 2753)(687, 2568)(688, 2835)(689, 2834)(690, 2572)(691, 2833)(692, 2576)(693, 2602)(694, 2578)(695, 2837)(696, 2579)(697, 2584)(698, 2582)(699, 2841)(700, 2815)(701, 2583)(702, 2816)(703, 2825)(704, 2823)(705, 2590)(706, 2811)(707, 2591)(708, 2846)(709, 2592)(710, 2600)(711, 2807)(712, 2595)(713, 2809)(714, 2849)(715, 2603)(716, 2617)(717, 2604)(718, 2608)(719, 2609)(720, 2855)(721, 2856)(722, 2854)(723, 2858)(724, 2610)(725, 2862)(726, 2864)(727, 2612)(728, 2613)(729, 2852)(730, 2614)(731, 2870)(732, 2869)(733, 2618)(734, 2867)(735, 2871)(736, 2645)(737, 2627)(738, 2872)(739, 2628)(740, 2633)(741, 2631)(742, 2876)(743, 2865)(744, 2632)(745, 2866)(746, 2836)(747, 2637)(748, 2861)(749, 2638)(750, 2881)(751, 2639)(752, 2643)(753, 2857)(754, 2859)(755, 2646)(756, 2702)(757, 2647)(758, 2885)(759, 2648)(760, 2887)(761, 2649)(762, 2653)(763, 2891)(764, 2892)(765, 2893)(766, 2654)(767, 2897)(768, 2896)(769, 2659)(770, 2660)(771, 2898)(772, 2899)(773, 2662)(774, 2663)(775, 2760)(776, 2666)(777, 2903)(778, 2904)(779, 2728)(780, 2818)(781, 2671)(782, 2906)(783, 2673)(784, 2674)(785, 2675)(786, 2677)(787, 2911)(788, 2912)(789, 2796)(790, 2717)(791, 2680)(792, 2913)(793, 2681)(794, 2694)(795, 2684)(796, 2685)(797, 2724)(798, 2842)(799, 2916)(800, 2917)(801, 2686)(802, 2687)(803, 2688)(804, 2733)(805, 2920)(806, 2921)(807, 2695)(808, 2886)(809, 2696)(810, 2922)(811, 2699)(812, 2700)(813, 2895)(814, 2925)(815, 2924)(816, 2926)(817, 2701)(818, 2703)(819, 2900)(820, 2708)(821, 2927)(822, 2712)(823, 2713)(824, 2714)(825, 2933)(826, 2845)(827, 2868)(828, 2721)(829, 2723)(830, 2935)(831, 2729)(832, 2727)(833, 2938)(834, 2730)(835, 2919)(836, 2734)(837, 2736)(838, 2942)(839, 2943)(840, 2843)(841, 2738)(842, 2944)(843, 2739)(844, 2751)(845, 2742)(846, 2743)(847, 2766)(848, 2877)(849, 2947)(850, 2948)(851, 2744)(852, 2745)(853, 2746)(854, 2773)(855, 2950)(856, 2951)(857, 2755)(858, 2756)(859, 2757)(860, 2957)(861, 2880)(862, 2894)(863, 2763)(864, 2765)(865, 2959)(866, 2770)(867, 2769)(868, 2949)(869, 2788)(870, 2775)(871, 2963)(872, 2776)(873, 2780)(874, 2779)(875, 2831)(876, 2832)(877, 2827)(878, 2781)(879, 2967)(880, 2782)(881, 2786)(882, 2789)(883, 2824)(884, 2790)(885, 2960)(886, 2792)(887, 2969)(888, 2968)(889, 2797)(890, 2970)(891, 2961)(892, 2799)(893, 2800)(894, 2802)(895, 2952)(896, 2973)(897, 2955)(898, 2810)(899, 2813)(900, 2976)(901, 2977)(902, 2821)(903, 2979)(904, 2980)(905, 2981)(906, 2971)(907, 2829)(908, 2983)(909, 2878)(910, 2984)(911, 2985)(912, 2966)(913, 2838)(914, 2839)(915, 2965)(916, 2840)(917, 2986)(918, 2844)(919, 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4021)(2006, 4022)(2007, 4023)(2008, 4024)(2009, 4025)(2010, 4026)(2011, 4027)(2012, 4028)(2013, 4029)(2014, 4030)(2015, 4031)(2016, 4032)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E22.1787
Graph:: simple bipartite
	v = 1344 e = 2016 f = 630
	degree seq :: [ 2^1008, 6^336 ]

## Checksum: 1789 records.
## Written on: Sat Oct 19 13:21:35 CEST 2019