C4graphGraph forms for C4 [ 232, 3 ] = C_232(1,59)

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On this page are computer-accessible forms for the graph C4[ 232, 3 ] = C_232(1,59).

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

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

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