C4graphGraph forms for C4 [ 231, 2 ] = C_231(1,43)

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On this page are computer-accessible forms for the graph C4[ 231, 2 ] = C_231(1,43).

(I) Following is a form readable by MAGMA:

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

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

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