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On this page are computer-accessible forms for the graph C4[ 189, 10 ] = PS(3,63;20).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {107, 127} under the group generated by the following permutations:

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

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

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