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On this page are computer-accessible forms for the graph C4[ 156, 5 ] = PS(12,13;2).

(I) Following is a form readable by MAGMA:

g:=Graph<156|{ {25, 27}, {104, 106}, {13, 14}, {64, 67}, {114, 118}, {115, 119}, {48, 53}, {65, 68}, {50, 55}, {128, 133}, {130, 135}, {26, 28}, {73, 79}, {49, 54}, {72, 79}, {91, 92}, {129, 134}, {48, 56}, {52, 60}, {51, 59}, {50, 58}, {49, 57}, {128, 136}, {129, 137}, {130, 138}, {32, 41}, {34, 43}, {36, 45}, {38, 47}, {112, 121}, {114, 123}, {116, 125}, {64, 74}, {65, 75}, {16, 27}, {51, 56}, {20, 31}, {33, 42}, {37, 46}, {96, 107}, {100, 111}, {113, 122}, {117, 126}, {2, 14}, {83, 95}, {82, 94}, {81, 93}, {80, 92}, {3, 15}, {36, 40}, {37, 41}, {38, 42}, {39, 43}, {116, 120}, {117, 121}, {17, 28}, {52, 57}, {19, 30}, {97, 108}, {99, 110}, {1, 15}, {81, 95}, {80, 94}, {103, 105}, {16, 31}, {18, 29}, {35, 44}, {96, 111}, {98, 109}, {115, 124}, {131, 147}, {132, 148}, {133, 149}, {134, 150}, {135, 151}, {136, 152}, {137, 153}, {138, 154}, {139, 155}, {140, 156}, {15, 30}, {32, 49}, {34, 51}, {97, 112}, {99, 114}, {101, 116}, {106, 123}, {108, 125}, {110, 127}, {2, 16}, {79, 93}, {3, 17}, {6, 20}, {7, 21}, {10, 24}, {11, 25}, {40, 58}, {41, 59}, {44, 62}, {45, 63}, {14, 29}, {72, 91}, {68, 87}, {33, 50}, {98, 113}, {102, 117}, {105, 122}, {109, 126}, {4, 16}, {67, 87}, {66, 86}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {13, 25}, {40, 61}, {67, 86}, {42, 63}, {101, 112}, {103, 114}, {4, 18}, {143, 153}, {5, 19}, {12, 26}, {42, 60}, {43, 61}, {105, 127}, {134, 144}, {135, 145}, {142, 152}, {35, 52}, {66, 85}, {39, 48}, {41, 62}, {100, 115}, {102, 113}, {107, 124}, {111, 120}, {45, 53}, {47, 55}, {46, 54}, {73, 80}, {77, 84}, {75, 82}, {110, 119}, {131, 154}, {133, 156}, {74, 80}, {78, 84}, {75, 81}, {136, 146}, {137, 147}, {140, 150}, {141, 151}, {1, 26}, {78, 85}, {74, 81}, {104, 115}, {109, 118}, {8, 20}, {71, 91}, {70, 90}, {69, 89}, {68, 88}, {9, 21}, {10, 22}, {11, 23}, {69, 88}, {143, 146}, {71, 90}, {141, 144}, {8, 22}, {77, 83}, {76, 82}, {9, 23}, {138, 148}, {139, 149}, {70, 89}, {76, 83}, {132, 155}, {142, 145}, {79, 104}, {14, 38}, {15, 39}, {92, 116}, {93, 117}, {27, 49}, {30, 52}, {28, 50}, {29, 51}, {31, 48}, {17, 32}, {19, 34}, {21, 36}, {23, 38}, {28, 45}, {30, 47}, {93, 108}, {95, 110}, {82, 96}, {83, 97}, {86, 100}, {87, 101}, {90, 104}, {18, 33}, {22, 37}, {29, 46}, {94, 109}, {84, 96}, {85, 97}, {86, 98}, {87, 99}, {21, 32}, {23, 34}, {95, 106}, {84, 98}, {85, 99}, {20, 35}, {22, 33}, {27, 44}, {31, 40}, {92, 107}, {94, 105}, {24, 35}, {88, 100}, {89, 101}, {90, 102}, {91, 103}, {25, 36}, {88, 102}, {89, 103}, {24, 39}, {26, 37}, {43, 64}, {44, 65}, {46, 64}, {47, 65}, {53, 69}, {62, 78}, {61, 77}, {60, 76}, {59, 75}, {58, 74}, {57, 73}, {56, 72}, {55, 71}, {54, 70}, {62, 72}, {63, 73}, {53, 76}, {55, 78}, {56, 66}, {61, 71}, {60, 70}, {57, 67}, {54, 77}, {63, 66}, {58, 68}, {59, 69}, {2, 151}, {1, 151}, {1, 150}, {7, 144}, {8, 144}, {9, 145}, {10, 146}, {11, 147}, {12, 148}, {13, 149}, {8, 145}, {10, 147}, {12, 149}, {2, 152}, {3, 153}, {6, 156}, {3, 152}, {7, 156}, {9, 146}, {13, 150}, {4, 153}, {6, 155}, {4, 154}, {5, 155}, {5, 154}, {11, 148}, {106, 128}, {107, 129}, {108, 130}, {111, 128}, {112, 129}, {120, 138}, {121, 139}, {124, 142}, {125, 143}, {113, 130}, {120, 141}, {122, 143}, {122, 140}, {123, 141}, {121, 142}, {123, 131}, {124, 132}, {125, 133}, {126, 134}, {127, 135}, {119, 140}, {127, 132}, {118, 139}, {126, 131}, {118, 136}, {119, 137} }>;

(II) A more general form is to represent the graph as the orbit of {25, 27} under the group generated by the following permutations:

a: (1, 14, 27, 40, 53, 66, 79, 92, 105, 118, 131, 144)(2, 16, 31, 48, 56, 72, 91, 103, 114, 123, 141, 151)(3, 18, 35, 43, 59, 78, 90, 101, 110, 128, 138, 145)(4, 20, 39, 51, 62, 71, 89, 99, 106, 120, 135, 152)(5, 22, 30, 46, 65, 77, 88, 97, 115, 125, 132, 146)(6, 24, 34, 41, 55, 70, 87, 95, 111, 130, 142, 153)(7, 26, 38, 49, 58, 76, 86, 93, 107, 122, 139, 147)(8, 15, 29, 44, 61, 69, 85, 104, 116, 127, 136, 154)(9, 17, 33, 52, 64, 75, 84, 102, 112, 119, 133, 148)(10, 19, 37, 47, 54, 68, 83, 100, 108, 124, 143, 155)(11, 21, 28, 42, 57, 74, 82, 98, 117, 129, 140, 149)(12, 23, 32, 50, 60, 67, 81, 96, 113, 121, 137, 156)(13, 25, 36, 45, 63, 73, 80, 94, 109, 126, 134, 150)
b: (2, 13)(3, 12)(4, 11)(5, 10)(6, 9)(7, 8)(15, 26)(16, 25)(17, 24)(18, 23)(19, 22)(20, 21)(28, 39)(29, 38)(30, 37)(31, 36)(32, 35)(33, 34)(41, 52)(42, 51)(43, 50)(44, 49)(45, 48)(46, 47)(54, 65)(55, 64)(56, 63)(57, 62)(58, 61)(59, 60)(67, 78)(68, 77)(69, 76)(70, 75)(71, 74)(72, 73)(80, 91)(81, 90)(82, 89)(83, 88)(84, 87)(85, 86)(93, 104)(94, 103)(95, 102)(96, 101)(97, 100)(98, 99)(106, 117)(107, 116)(108, 115)(109, 114)(110, 113)(111, 112)(119, 130)(120, 129)(121, 128)(122, 127)(123, 126)(124, 125)(132, 143)(133, 142)(134, 141)(135, 140)(136, 139)(137, 138)(145, 156)(146, 155)(147, 154)(148, 153)(149, 152)(150, 151)
c: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)(14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)(27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39)(40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52)(53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65)(66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78)(79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91)(92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104)(105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117)(118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130)(131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143)(144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 156, 5 ]
156
-1 15 26 150 151
-2 14 16 151 152
-3 15 17 152 153
-4 154 16 18 153
-5 154 155 17 19
-6 155 156 18 20
-7 144 156 19 21
-8 22 144 145 20
-9 23 145 146 21
-10 22 24 146 147
-11 23 25 147 148
-12 24 26 148 149
-13 14 25 149 150
-14 2 13 38 29
-15 1 3 39 30
-16 2 4 27 31
-17 3 5 28 32
-18 33 4 6 29
-19 34 5 7 30
-20 35 6 8 31
-21 36 7 9 32
-22 33 37 8 10
-23 11 34 38 9
-24 12 35 39 10
-25 11 13 36 27
-26 1 12 37 28
-27 44 25 16 49
-28 45 26 17 50
-29 46 14 18 51
-30 47 15 19 52
-31 48 16 40 20
-32 49 17 41 21
-33 22 50 18 42
-34 23 51 19 43
-35 44 24 52 20
-36 45 25 40 21
-37 22 46 26 41
-38 23 14 47 42
-39 24 15 48 43
-40 36 58 61 31
-41 37 59 62 32
-42 33 38 60 63
-43 34 39 61 64
-44 35 27 62 65
-45 36 28 63 53
-46 37 29 64 54
-47 55 38 30 65
-48 56 39 31 53
-49 57 27 32 54
-50 33 55 58 28
-51 34 56 59 29
-52 35 57 60 30
-53 45 69 48 76
-54 77 46 70 49
-55 78 47 71 50
-56 66 48 72 51
-57 67 49 73 52
-58 68 50 40 74
-59 69 51 41 75
-60 70 52 42 76
-61 77 71 40 43
-62 44 78 72 41
-63 66 45 73 42
-64 67 46 74 43
-65 44 68 47 75
-66 56 63 85 86
-67 57 64 86 87
-68 88 58 65 87
-69 88 89 59 53
-70 89 90 60 54
-71 55 90 91 61
-72 56 79 91 62
-73 57 79 80 63
-74 58 80 81 64
-75 59 81 82 65
-76 60 82 83 53
-77 61 83 84 54
-78 55 62 84 85
-79 93 104 72 73
-80 92 94 73 74
-81 93 95 74 75
-82 94 96 75 76
-83 77 95 97 76
-84 77 78 96 98
-85 66 99 78 97
-86 66 67 100 98
-87 99 67 68 101
-88 100 68 69 102
-89 101 69 70 103
-90 102 70 71 104
-91 92 103 71 72
-92 80 91 116 107
-93 79 81 117 108
-94 80 82 105 109
-95 110 81 83 106
-96 111 82 84 107
-97 112 83 85 108
-98 113 84 86 109
-99 110 114 85 87
-100 88 111 115 86
-101 89 112 116 87
-102 88 90 113 117
-103 89 91 114 105
-104 79 90 115 106
-105 122 103 94 127
-106 123 104 95 128
-107 124 92 96 129
-108 125 93 97 130
-109 126 94 118 98
-110 99 127 95 119
-111 100 128 96 120
-112 121 101 129 97
-113 122 102 130 98
-114 99 123 103 118
-115 100 124 104 119
-116 101 92 125 120
-117 121 102 93 126
-118 114 136 139 109
-119 110 115 137 140
-120 111 116 138 141
-121 112 117 139 142
-122 143 113 105 140
-123 114 106 141 131
-124 132 115 107 142
-125 143 133 116 108
-126 134 117 109 131
-127 110 132 135 105
-128 111 133 136 106
-129 112 134 137 107
-130 113 135 138 108
-131 154 123 147 126
-132 155 124 148 127
-133 156 125 149 128
-134 144 126 150 129
-135 145 127 151 130
-136 146 128 118 152
-137 147 129 119 153
-138 154 148 130 120
-139 121 155 149 118
-140 122 156 150 119
-141 144 123 151 120
-142 121 145 124 152
-143 122 146 125 153
-144 134 7 8 141
-145 135 8 9 142
-146 143 136 9 10
-147 11 137 10 131
-148 11 132 12 138
-149 12 133 13 139
-150 1 13 134 140
-151 1 2 135 141
-152 2 3 136 142
-153 143 3 4 137
-154 4 5 138 131
-155 132 5 6 139
-156 133 6 7 140
0

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