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On this page are computer-accessible forms for the graph C4[ 231, 1 ] = C_231(1,34).

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

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