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On this page are computer-accessible forms for the graph C4[ 156, 8 ] = PS(3,52;9).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {52, 53} under the group generated by the following permutations:

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

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

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