C4graphGraph forms for C4 [ 232, 2 ] = C_232(1,57)

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On this page are computer-accessible forms for the graph C4[ 232, 2 ] = C_232(1,57).

(I) Following is a form readable by MAGMA:

g:=Graph<232|{ {2, 3}, {230, 231}, {228, 229}, {226, 227}, {224, 225}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214, 215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203}, {200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {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}, {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}, {1, 2}, {229, 230}, {225, 226}, {221, 222}, {217, 218}, {213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {145, 146}, {3, 4}, {227, 228}, {219, 220}, {211, 212}, {203, 204}, {195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {75, 76}, {67, 68}, {59, 60}, {51, 52}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {43, 44}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {7, 8}, {231, 232}, {215, 216}, {199, 200}, {183, 184}, {167, 168}, {151, 152}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {207, 208}, {175, 176}, {47, 48}, {79, 80}, {111, 112}, {143, 144}, {2, 59}, {70, 127}, {68, 125}, {66, 123}, {64, 121}, {4, 61}, {6, 63}, {128, 185}, {130, 187}, {132, 189}, {134, 191}, {1, 58}, {69, 126}, {65, 122}, {5, 62}, {129, 186}, {133, 190}, {3, 60}, {223, 224}, {159, 160}, {67, 124}, {31, 32}, {95, 96}, {131, 188}, {7, 64}, {175, 232}, {167, 224}, {159, 216}, {151, 208}, {63, 120}, {55, 112}, {47, 104}, {15, 72}, {23, 80}, {31, 88}, {39, 96}, {135, 192}, {143, 200}, {8, 65}, {174, 231}, {172, 229}, {170, 227}, {168, 225}, {158, 215}, {156, 213}, {154, 211}, {152, 209}, {62, 119}, {60, 117}, {58, 115}, {56, 113}, {46, 103}, {44, 101}, {10, 67}, {12, 69}, {14, 71}, {24, 81}, {26, 83}, {28, 85}, {30, 87}, {40, 97}, {42, 99}, {136, 193}, {138, 195}, {140, 197}, {142, 199}, {9, 66}, {173, 230}, {169, 226}, {157, 214}, {153, 210}, {61, 118}, {57, 114}, {45, 102}, {13, 70}, {25, 82}, {29, 86}, {41, 98}, {137, 194}, {141, 198}, {11, 68}, {171, 228}, {155, 212}, {59, 116}, {27, 84}, {43, 100}, {139, 196}, {16, 73}, {150, 207}, {148, 205}, {146, 203}, {54, 111}, {52, 109}, {50, 107}, {48, 105}, {18, 75}, {20, 77}, {22, 79}, {144, 201}, {17, 74}, {149, 206}, {53, 110}, {49, 106}, {21, 78}, {145, 202}, {19, 76}, {147, 204}, {51, 108}, {32, 89}, {166, 223}, {164, 221}, {162, 219}, {160, 217}, {34, 91}, {36, 93}, {38, 95}, {33, 90}, {165, 222}, {161, 218}, {37, 94}, {35, 92}, {191, 192}, {163, 220}, {63, 64}, {16, 191}, {1, 176}, {3, 178}, {5, 180}, {7, 182}, {9, 184}, {11, 186}, {13, 188}, {15, 190}, {2, 177}, {6, 181}, {10, 185}, {14, 189}, {4, 179}, {12, 187}, {8, 183}, {71, 128}, {79, 136}, {87, 144}, {95, 152}, {103, 160}, {111, 168}, {119, 176}, {127, 184}, {72, 129}, {76, 133}, {74, 131}, {78, 135}, {88, 145}, {90, 147}, {92, 149}, {94, 151}, {104, 161}, {106, 163}, {108, 165}, {110, 167}, {120, 177}, {122, 179}, {124, 181}, {126, 183}, {73, 130}, {77, 134}, {89, 146}, {93, 150}, {105, 162}, {109, 166}, {121, 178}, {125, 182}, {75, 132}, {91, 148}, {107, 164}, {123, 180}, {17, 192}, {57, 232}, {55, 230}, {53, 228}, {51, 226}, {49, 224}, {19, 194}, {21, 196}, {23, 198}, {25, 200}, {27, 202}, {29, 204}, {31, 206}, {18, 193}, {54, 229}, {50, 225}, {22, 197}, {26, 201}, {30, 205}, {20, 195}, {52, 227}, {28, 203}, {80, 137}, {82, 139}, {84, 141}, {86, 143}, {112, 169}, {114, 171}, {116, 173}, {118, 175}, {81, 138}, {85, 142}, {113, 170}, {117, 174}, {24, 199}, {56, 231}, {83, 140}, {115, 172}, {1, 232}, {32, 207}, {48, 223}, {33, 208}, {47, 222}, {45, 220}, {35, 210}, {37, 212}, {39, 214}, {41, 216}, {43, 218}, {34, 209}, {46, 221}, {38, 213}, {42, 217}, {36, 211}, {44, 219}, {96, 153}, {98, 155}, {100, 157}, {102, 159}, {97, 154}, {101, 158}, {40, 215}, {99, 156}, {127, 128} }>;

(II) A more general form is to represent the graph as the orbit of {2, 3} 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, 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, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232)
b: (2, 58)(3, 115)(4, 172)(5, 229)(6, 54)(7, 111)(8, 168)(9, 225)(10, 50)(11, 107)(12, 164)(13, 221)(14, 46)(15, 103)(16, 160)(17, 217)(18, 42)(19, 99)(20, 156)(21, 213)(22, 38)(23, 95)(24, 152)(25, 209)(26, 34)(27, 91)(28, 148)(29, 205)(31, 87)(32, 144)(33, 201)(35, 83)(36, 140)(37, 197)(39, 79)(40, 136)(41, 193)(43, 75)(44, 132)(45, 189)(47, 71)(48, 128)(49, 185)(51, 67)(52, 124)(53, 181)(55, 63)(56, 120)(57, 177)(60, 116)(61, 173)(62, 230)(64, 112)(65, 169)(66, 226)(68, 108)(69, 165)(70, 222)(72, 104)(73, 161)(74, 218)(76, 100)(77, 157)(78, 214)(80, 96)(81, 153)(82, 210)(84, 92)(85, 149)(86, 206)(89, 145)(90, 202)(93, 141)(94, 198)(97, 137)(98, 194)(101, 133)(102, 190)(105, 129)(106, 186)(109, 125)(110, 182)(113, 121)(114, 178)(118, 174)(119, 231)(122, 170)(123, 227)(126, 166)(127, 223)(130, 162)(131, 219)(134, 158)(135, 215)(138, 154)(139, 211)(142, 150)(143, 207)(147, 203)(151, 199)(155, 195)(159, 191)(163, 187)(167, 183)(171, 179)(176, 232)(180, 228)(184, 224)(188, 220)(192, 216)(196, 212)(200, 208)
c: (2, 176)(3, 119)(4, 62)(6, 180)(7, 123)(8, 66)(10, 184)(11, 127)(12, 70)(14, 188)(15, 131)(16, 74)(18, 192)(19, 135)(20, 78)(22, 196)(23, 139)(24, 82)(26, 200)(27, 143)(28, 86)(30, 204)(31, 147)(32, 90)(34, 208)(35, 151)(36, 94)(38, 212)(39, 155)(40, 98)(42, 216)(43, 159)(44, 102)(46, 220)(47, 163)(48, 106)(50, 224)(51, 167)(52, 110)(54, 228)(55, 171)(56, 114)(58, 232)(59, 175)(60, 118)(63, 179)(64, 122)(67, 183)(68, 126)(71, 187)(72, 130)(75, 191)(76, 134)(79, 195)(80, 138)(83, 199)(84, 142)(87, 203)(88, 146)(91, 207)(92, 150)(95, 211)(96, 154)(99, 215)(100, 158)(103, 219)(104, 162)(107, 223)(108, 166)(111, 227)(112, 170)(115, 231)(116, 174)(120, 178)(124, 182)(128, 186)(132, 190)(136, 194)(140, 198)(144, 202)(148, 206)(152, 210)(156, 214)(160, 218)(164, 222)(168, 226)(172, 230)

(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[ 232, 2 ]
232
-1 176 232 2 58
-2 1 177 3 59
-3 2 178 4 60
-4 3 179 5 61
-5 4 180 6 62
-6 5 181 7 63
-7 6 182 8 64
-8 7 183 9 65
-9 66 8 184 10
-10 11 67 9 185
-11 12 68 10 186
-12 11 187 13 69
-13 12 188 14 70
-14 13 189 15 71
-15 14 190 16 72
-16 15 191 17 73
-17 16 192 18 74
-18 17 193 19 75
-19 18 194 20 76
-20 77 19 195 21
-21 22 78 20 196
-22 23 79 21 197
-23 22 198 24 80
-24 23 199 25 81
-25 24 200 26 82
-26 25 201 27 83
-27 26 202 28 84
-28 27 203 29 85
-29 28 204 30 86
-30 29 205 31 87
-31 88 30 206 32
-32 33 89 31 207
-33 34 90 32 208
-34 33 209 35 91
-35 34 210 36 92
-36 35 211 37 93
-37 36 212 38 94
-38 37 213 39 95
-39 38 214 40 96
-40 39 215 41 97
-41 40 216 42 98
-42 99 41 217 43
-43 44 100 42 218
-44 45 101 43 219
-45 44 220 46 102
-46 45 221 47 103
-47 46 222 48 104
-48 47 223 49 105
-49 48 224 50 106
-50 49 225 51 107
-51 50 226 52 108
-52 51 227 53 109
-53 110 52 228 54
-54 55 111 53 229
-55 56 112 54 230
-56 55 231 57 113
-57 56 232 58 114
-58 1 57 59 115
-59 2 58 60 116
-60 3 59 61 117
-61 4 60 62 118
-62 5 61 63 119
-63 6 62 64 120
-64 121 7 63 65
-65 66 122 8 64
-66 67 123 9 65
-67 66 68 124 10
-68 11 67 69 125
-69 12 68 70 126
-70 13 69 71 127
-71 14 70 72 128
-72 15 71 73 129
-73 16 72 74 130
-74 17 73 75 131
-75 132 18 74 76
-76 77 133 19 75
-77 78 134 20 76
-78 77 79 135 21
-79 22 78 80 136
-80 23 79 81 137
-81 24 80 82 138
-82 25 81 83 139
-83 26 82 84 140
-84 27 83 85 141
-85 28 84 86 142
-86 143 29 85 87
-87 88 144 30 86
-88 89 145 31 87
-89 88 90 146 32
-90 33 89 91 147
-91 34 90 92 148
-92 35 91 93 149
-93 36 92 94 150
-94 37 93 95 151
-95 38 94 96 152
-96 39 95 97 153
-97 154 40 96 98
-98 99 155 41 97
-99 100 156 42 98
-100 99 101 157 43
-101 44 100 102 158
-102 45 101 103 159
-103 46 102 104 160
-104 47 103 105 161
-105 48 104 106 162
-106 49 105 107 163
-107 50 106 108 164
-108 165 51 107 109
-109 110 166 52 108
-110 111 167 53 109
-111 110 112 168 54
-112 55 111 113 169
-113 56 112 114 170
-114 57 113 115 171
-115 58 114 116 172
-116 59 115 117 173
-117 60 116 118 174
-118 61 117 119 175
-119 176 62 118 120
-120 121 177 63 119
-121 122 178 64 120
-122 121 123 179 65
-123 66 122 124 180
-124 67 123 125 181
-125 68 124 126 182
-126 69 125 127 183
-127 70 126 128 184
-128 71 127 129 185
-129 72 128 130 186
-130 187 73 129 131
-131 132 188 74 130
-132 133 189 75 131
-133 132 134 190 76
-134 77 133 135 191
-135 78 134 136 192
-136 79 135 137 193
-137 80 136 138 194
-138 81 137 139 195
-139 82 138 140 196
-140 83 139 141 197
-141 198 84 140 142
-142 143 199 85 141
-143 144 200 86 142
-144 143 145 201 87
-145 88 144 146 202
-146 89 145 147 203
-147 90 146 148 204
-148 91 147 149 205
-149 92 148 150 206
-150 93 149 151 207
-151 94 150 152 208
-152 209 95 151 153
-153 154 210 96 152
-154 155 211 97 153
-155 154 156 212 98
-156 99 155 157 213
-157 100 156 158 214
-158 101 157 159 215
-159 102 158 160 216
-160 103 159 161 217
-161 104 160 162 218
-162 105 161 163 219
-163 220 106 162 164
-164 165 221 107 163
-165 166 222 108 164
-166 165 167 223 109
-167 110 166 168 224
-168 111 167 169 225
-169 112 168 170 226
-170 113 169 171 227
-171 114 170 172 228
-172 115 171 173 229
-173 116 172 174 230
-174 231 117 173 175
-175 176 232 118 174
-176 1 177 119 175
-177 176 2 178 120
-178 121 177 3 179
-179 122 178 4 180
-180 123 179 5 181
-181 124 180 6 182
-182 125 181 7 183
-183 126 182 8 184
-184 127 183 9 185
-185 128 184 10 186
-186 11 187 129 185
-187 12 188 130 186
-188 187 13 189 131
-189 132 188 14 190
-190 133 189 15 191
-191 134 190 16 192
-192 135 191 17 193
-193 136 192 18 194
-194 137 193 19 195
-195 138 194 20 196
-196 139 195 21 197
-197 22 198 140 196
-198 23 199 141 197
-199 198 24 200 142
-200 143 199 25 201
-201 144 200 26 202
-202 145 201 27 203
-203 146 202 28 204
-204 147 203 29 205
-205 148 204 30 206
-206 149 205 31 207
-207 150 206 32 208
-208 33 209 151 207
-209 34 210 152 208
-210 209 35 211 153
-211 154 210 36 212
-212 155 211 37 213
-213 156 212 38 214
-214 157 213 39 215
-215 158 214 40 216
-216 159 215 41 217
-217 160 216 42 218
-218 161 217 43 219
-219 44 220 162 218
-220 45 221 163 219
-221 220 46 222 164
-222 165 221 47 223
-223 166 222 48 224
-224 167 223 49 225
-225 168 224 50 226
-226 169 225 51 227
-227 170 226 52 228
-228 171 227 53 229
-229 172 228 54 230
-230 55 231 173 229
-231 56 232 174 230
-232 231 1 57 175
0

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