Graph forms
for C4 [ 292, 3 ] = PS(4,73;10)
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On this page are computer-accessible forms for the graph C4[ 292, 3 ] =
PS(4,73;10).
(I) Following is a form readable by MAGMA:
g:=Graph<292|{ {73, 74}, {144, 154}, {145, 155}, {146, 156}, {142, 152}, {143,
153}, {137, 147}, {140, 150}, {141, 151}, {196, 223}, {193, 220}, {195, 222},
{138, 148}, {139, 149}, {194, 221}, {197, 224}, {215, 242}, {213, 240}, {207,
234}, {205, 232}, {199, 226}, {198, 225}, {214, 241}, {206, 233}, {200, 227},
{216, 243}, {204, 231}, {201, 228}, {219, 246}, {217, 244}, {203, 230}, {192,
238}, {209, 255}, {208, 254}, {193, 239}, {202, 229}, {218, 245}, {194, 240},
{207, 253}, {206, 252}, {203, 249}, {202, 248}, {199, 245}, {198, 244}, {195,
241}, {196, 242}, {205, 251}, {204, 250}, {197, 243}, {208, 235}, {212, 239},
{209, 236}, {211, 238}, {200, 246}, {201, 247}, {128, 191}, {210, 237}, {129,
192}, {131, 194}, {133, 196}, {135, 198}, {137, 200}, {139, 202}, {141, 204},
{143, 206}, {145, 208}, {130, 193}, {134, 197}, {138, 201}, {142, 205}, {146,
209}, {132, 195}, {140, 203}, {2, 74}, {55, 127}, {54, 126}, {53, 125}, {52,
124}, {51, 123}, {50, 122}, {49, 121}, {48, 120}, {3, 75}, {4, 76}, {5, 77}, {6,
78}, {7, 79}, {16, 88}, {17, 89}, {18, 90}, {19, 91}, {20, 92}, {21, 93}, {22,
94}, {23, 95}, {32, 104}, {33, 105}, {34, 106}, {35, 107}, {36, 108}, {37, 109},
{38, 110}, {39, 111}, {1, 75}, {53, 127}, {52, 126}, {49, 123}, {48, 122}, {4,
78}, {5, 79}, {16, 90}, {17, 91}, {20, 94}, {21, 95}, {32, 106}, {33, 107}, {36,
110}, {37, 111}, {2, 76}, {51, 125}, {50, 124}, {3, 77}, {18, 92}, {19, 93},
{34, 108}, {35, 109}, {136, 199}, {178, 224}, {191, 237}, {190, 236}, {179,
225}, {182, 228}, {183, 229}, {186, 232}, {187, 233}, {128, 211}, {132, 215},
{136, 219}, {129, 212}, {131, 214}, {6, 80}, {189, 235}, {188, 234}, {47, 121},
{46, 120}, {7, 81}, {14, 88}, {15, 89}, {38, 112}, {39, 113}, {180, 226}, {181,
227}, {130, 213}, {8, 80}, {47, 119}, {46, 118}, {45, 117}, {44, 116}, {43,
115}, {9, 81}, {10, 82}, {11, 83}, {12, 84}, {13, 85}, {14, 86}, {15, 87}, {40,
112}, {41, 113}, {42, 114}, {8, 82}, {45, 119}, {44, 118}, {9, 83}, {12, 86},
{13, 87}, {40, 114}, {41, 115}, {133, 216}, {135, 218}, {10, 84}, {43, 117},
{11, 85}, {42, 116}, {184, 230}, {185, 231}, {134, 217}, {144, 207}, {147, 247},
{152, 252}, {153, 253}, {154, 254}, {155, 255}, {148, 248}, {149, 249}, {150,
250}, {151, 251}, {176, 222}, {177, 223}, {174, 220}, {175, 221}, {22, 96}, {23,
97}, {30, 104}, {31, 105}, {24, 96}, {25, 97}, {26, 98}, {27, 99}, {28, 100},
{29, 101}, {30, 102}, {31, 103}, {24, 98}, {25, 99}, {28, 102}, {29, 103}, {26,
100}, {27, 101}, {80, 216}, {81, 217}, {82, 218}, {83, 219}, {1, 146}, {74,
210}, {75, 211}, {76, 212}, {77, 213}, {78, 214}, {79, 215}, {64, 232}, {71,
239}, {70, 238}, {69, 237}, {68, 236}, {67, 235}, {66, 234}, {65, 233}, {109,
192}, {111, 194}, {125, 208}, {127, 210}, {110, 193}, {126, 209}, {112, 195},
{116, 199}, {120, 203}, {124, 207}, {113, 196}, {115, 198}, {121, 204}, {123,
206}, {54, 128}, {63, 137}, {62, 136}, {55, 129}, {114, 197}, {122, 205}, {56,
128}, {73, 241}, {72, 240}, {63, 135}, {62, 134}, {61, 133}, {60, 132}, {59,
131}, {58, 130}, {57, 129}, {56, 130}, {61, 135}, {60, 134}, {57, 131}, {117,
200}, {119, 202}, {58, 132}, {59, 133}, {118, 201}, {85, 148}, {87, 150}, {89,
152}, {91, 154}, {93, 156}, {95, 158}, {97, 160}, {99, 162}, {101, 164}, {103,
166}, {105, 168}, {107, 170}, {109, 172}, {111, 174}, {113, 176}, {115, 178},
{117, 180}, {119, 182}, {121, 184}, {123, 186}, {125, 188}, {127, 190}, {86,
149}, {90, 153}, {94, 157}, {98, 161}, {102, 165}, {106, 169}, {110, 173}, {114,
177}, {118, 181}, {122, 185}, {126, 189}, {24, 221}, {58, 255}, {56, 253}, {50,
247}, {48, 245}, {26, 223}, {32, 229}, {34, 231}, {40, 237}, {42, 239}, {25,
222}, {57, 254}, {49, 246}, {33, 230}, {41, 238}, {84, 147}, {92, 155}, {100,
163}, {108, 171}, {116, 179}, {124, 187}, {64, 136}, {71, 143}, {70, 142}, {69,
141}, {68, 140}, {67, 139}, {66, 138}, {65, 137}, {64, 138}, {69, 143}, {68,
142}, {65, 139}, {23, 220}, {55, 252}, {51, 248}, {35, 232}, {39, 236}, {36,
233}, {54, 251}, {52, 249}, {38, 235}, {66, 140}, {67, 141}, {37, 234}, {53,
250}, {88, 151}, {104, 167}, {120, 183}, {76, 159}, {96, 179}, {100, 183}, {104,
187}, {108, 191}, {75, 158}, {97, 180}, {99, 182}, {105, 188}, {107, 190}, {70,
144}, {71, 145}, {74, 157}, {98, 181}, {106, 189}, {56, 224}, {73, 145}, {72,
144}, {63, 231}, {62, 230}, {61, 229}, {60, 228}, {59, 227}, {58, 226}, {57,
225}, {72, 146}, {43, 240}, {47, 244}, {44, 241}, {46, 243}, {101, 184}, {103,
186}, {45, 242}, {102, 185}, {112, 175}, {52, 220}, {55, 223}, {54, 222}, {53,
221}, {77, 160}, {79, 162}, {93, 176}, {95, 178}, {78, 161}, {94, 177}, {2,
243}, {4, 245}, {6, 247}, {8, 249}, {10, 251}, {12, 253}, {14, 255}, {1, 242},
{5, 246}, {9, 250}, {13, 254}, {80, 163}, {84, 167}, {88, 171}, {92, 175}, {81,
164}, {83, 166}, {89, 172}, {91, 174}, {3, 244}, {11, 252}, {82, 165}, {90,
173}, {27, 224}, {31, 228}, {28, 225}, {30, 227}, {85, 168}, {87, 170}, {7,
248}, {29, 226}, {86, 169}, {96, 159}, {1, 271}, {16, 286}, {17, 287}, {15,
256}, {47, 288}, {31, 272}, {16, 257}, {50, 291}, {48, 289}, {18, 259}, {20,
261}, {22, 263}, {24, 265}, {26, 267}, {28, 269}, {30, 271}, {2, 272}, {3, 273},
{6, 276}, {7, 277}, {10, 280}, {11, 281}, {14, 284}, {15, 285}, {17, 258}, {49,
290}, {21, 262}, {25, 266}, {29, 270}, {4, 274}, {5, 275}, {12, 282}, {13, 283},
{19, 260}, {51, 292}, {27, 268}, {8, 278}, {9, 279}, {23, 264}, {32, 273}, {46,
287}, {44, 285}, {34, 275}, {36, 277}, {38, 279}, {40, 281}, {42, 283}, {18,
288}, {19, 289}, {22, 292}, {33, 274}, {45, 286}, {37, 278}, {41, 282}, {20,
290}, {21, 291}, {35, 276}, {43, 284}, {59, 256}, {63, 260}, {60, 257}, {62,
259}, {39, 280}, {61, 258}, {64, 261}, {72, 269}, {66, 263}, {65, 262}, {73,
270}, {67, 264}, {71, 268}, {68, 265}, {70, 267}, {69, 266}, {153, 272}, {155,
274}, {157, 276}, {159, 278}, {169, 288}, {171, 290}, {173, 292}, {154, 273},
{158, 277}, {170, 289}, {156, 275}, {172, 291}, {152, 271}, {147, 266}, {149,
268}, {151, 270}, {150, 269}, {156, 256}, {191, 291}, {190, 290}, {189, 289},
{188, 288}, {157, 257}, {158, 258}, {159, 259}, {148, 267}, {160, 260}, {161,
261}, {162, 262}, {163, 263}, {168, 268}, {169, 269}, {170, 270}, {171, 271},
{176, 276}, {177, 277}, {178, 278}, {179, 279}, {184, 284}, {185, 285}, {186,
286}, {187, 287}, {164, 264}, {165, 265}, {166, 266}, {167, 267}, {180, 280},
{181, 281}, {182, 282}, {183, 283}, {160, 279}, {168, 287}, {161, 280}, {163,
282}, {165, 284}, {167, 286}, {162, 281}, {166, 285}, {172, 272}, {173, 273},
{174, 274}, {175, 275}, {164, 283}, {210, 256}, {219, 265}, {218, 264}, {215,
261}, {214, 260}, {211, 257}, {212, 258}, {213, 259}, {216, 262}, {217, 263},
{192, 292} }>;
(II) A more general form is to represent the graph as the orbit of {73, 74}
under the group generated by the following permutations:
a: (1, 74, 147, 220)(2, 137, 174, 242, 73, 84, 193, 271)(3, 127, 201, 264, 72,
94, 166, 249)(4, 117, 155, 286, 71, 104, 212, 227)(5, 107, 182, 235, 70, 114,
185, 278)(6, 97, 209, 257, 69, 124, 158, 256)(7, 87, 163, 279, 68, 134, 204,
234)(8, 77, 190, 228, 67, 144, 177, 285)(9, 140, 217, 250, 66, 81, 150, 263)(10,
130, 171, 272, 65, 91, 196, 241)(11, 120, 198, 221, 64, 101, 169, 292)(12, 110,
152, 243, 63, 111, 215, 270)(13, 100, 179, 265, 62, 121, 188, 248)(14, 90, 206,
287, 61, 131, 161, 226)(15, 80, 160, 236, 60, 141, 207, 277)(16, 143, 187, 258,
59, 78, 180, 255)(17, 133, 214, 280, 58, 88, 153, 233)(18, 123, 168, 229, 57,
98, 199, 284)(19, 113, 195, 251, 56, 108, 172, 262)(20, 103, 149, 273, 55, 118,
218, 240)(21, 93, 176, 222, 54, 128, 191, 291)(22, 83, 203, 244, 53, 138, 164,
269)(23, 146, 157, 266, 52, 75, 210, 247)(24, 136, 184, 288, 51, 85, 183,
225)(25, 126, 211, 237, 50, 95, 156, 276)(26, 116, 165, 259, 49, 105, 202,
254)(27, 106, 192, 281, 48, 115, 175, 232)(28, 96, 219, 230, 47, 125, 148,
283)(29, 86, 173, 252, 46, 135, 194, 261)(30, 76, 200, 274, 45, 145, 167,
239)(31, 139, 154, 223, 44, 82, 213, 290)(32, 129, 181, 245, 43, 92, 186,
268)(33, 119, 208, 267, 42, 102, 159, 246)(34, 109, 162, 289, 41, 112, 205,
224)(35, 99, 189, 238, 40, 122, 178, 275)(36, 89, 216, 260, 39, 132, 151,
253)(37, 79, 170, 282, 38, 142, 197, 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.
**************
&Graph **************
b: (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, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244,
245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260,
261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276,
277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291,
292)
c: (2, 73)(3, 72)(4, 71)(5, 70)(6, 69)(7, 68)(8, 67)(9, 66)(10, 65)(11, 64)(12,
63)(13, 62)(14, 61)(15, 60)(16, 59)(17, 58)(18, 57)(19, 56)(20, 55)(21, 54)(22,
53)(23, 52)(24, 51)(25, 50)(26, 49)(27, 48)(28, 47)(29, 46)(30, 45)(31, 44)(32,
43)(33, 42)(34, 41)(35, 40)(36, 39)(37, 38)(75, 146)(76, 145)(77, 144)(78,
143)(79, 142)(80, 141)(81, 140)(82, 139)(83, 138)(84, 137)(85, 136)(86, 135)(87,
134)(88, 133)(89, 132)(90, 131)(91, 130)(92, 129)(93, 128)(94, 127)(95, 126)(96,
125)(97, 124)(98, 123)(99, 122)(100, 121)(101, 120)(102, 119)(103, 118)(104,
117)(105, 116)(106, 115)(107, 114)(108, 113)(109, 112)(110, 111)(148, 219)(149,
218)(150, 217)(151, 216)(152, 215)(153, 214)(154, 213)(155, 212)(156, 211)(157,
210)(158, 209)(159, 208)(160, 207)(161, 206)(162, 205)(163, 204)(164, 203)(165,
202)(166, 201)(167, 200)(168, 199)(169, 198)(170, 197)(171, 196)(172, 195)(173,
194)(174, 193)(175, 192)(176, 191)(177, 190)(178, 189)(179, 188)(180, 187)(181,
186)(182, 185)(183, 184)(221, 292)(222, 291)(223, 290)(224, 289)(225, 288)(226,
287)(227, 286)(228, 285)(229, 284)(230, 283)(231, 282)(232, 281)(233, 280)(234,
279)(235, 278)(236, 277)(237, 276)(238, 275)(239, 274)(240, 273)(241, 272)(242,
271)(243, 270)(244, 269)(245, 268)(246, 267)(247, 266)(248, 265)(249, 264)(250,
263)(251, 262)(252, 261)(253, 260)(254, 259)(255, 258)(256, 257)
C4[ 292, 3 ]
292
-1 242 146 271 75
-2 243 74 272 76
-3 77 244 75 273
-4 78 245 76 274
-5 77 275 79 246
-6 78 276 80 247
-7 79 277 81 248
-8 80 278 82 249
-9 81 279 83 250
-10 82 280 84 251
-11 83 281 85 252
-12 253 84 282 86
-13 254 85 283 87
-14 88 255 86 284
-15 89 256 87 285
-16 88 286 90 257
-17 89 287 91 258
-18 90 288 92 259
-19 91 289 93 260
-20 92 290 94 261
-21 93 291 95 262
-22 94 292 96 263
-23 220 264 95 97
-24 221 265 96 98
-25 99 222 266 97
-26 100 223 267 98
-27 99 101 224 268
-28 100 102 225 269
-29 101 103 226 270
-30 102 104 227 271
-31 103 105 228 272
-32 104 106 229 273
-33 105 107 230 274
-34 231 275 106 108
-35 232 276 107 109
-36 110 233 277 108
-37 111 234 278 109
-38 110 112 235 279
-39 111 113 236 280
-40 112 114 237 281
-41 113 115 238 282
-42 114 116 239 283
-43 115 117 240 284
-44 116 118 241 285
-45 242 286 117 119
-46 243 287 118 120
-47 121 244 288 119
-48 122 245 289 120
-49 121 123 246 290
-50 122 124 247 291
-51 123 125 248 292
-52 220 124 126 249
-53 221 125 127 250
-54 222 126 128 251
-55 223 127 129 252
-56 253 224 128 130
-57 254 225 129 131
-58 132 255 226 130
-59 133 256 227 131
-60 132 134 257 228
-61 133 135 258 229
-62 134 136 259 230
-63 231 135 137 260
-64 232 136 138 261
-65 233 137 139 262
-66 234 138 140 263
-67 264 235 139 141
-68 265 236 140 142
-69 143 266 237 141
-70 144 267 238 142
-71 143 145 268 239
-72 144 146 269 240
-73 145 270 74 241
-74 210 2 157 73
-75 1 211 3 158
-76 2 212 4 159
-77 3 213 5 160
-78 4 214 6 161
-79 5 215 7 162
-80 6 216 8 163
-81 7 217 9 164
-82 165 8 218 10
-83 11 166 9 219
-84 12 167 147 10
-85 11 13 168 148
-86 12 14 169 149
-87 13 15 170 150
-88 14 16 171 151
-89 15 17 172 152
-90 16 18 173 153
-91 154 17 19 174
-92 155 18 20 175
-93 176 156 19 21
-94 22 177 157 20
-95 23 178 158 21
-96 22 24 179 159
-97 23 25 180 160
-98 24 26 181 161
-99 25 27 182 162
-100 26 28 183 163
-101 27 29 184 164
-102 165 28 30 185
-103 166 29 31 186
-104 187 167 30 32
-105 33 188 168 31
-106 34 189 169 32
-107 33 35 190 170
-108 34 36 191 171
-109 35 37 192 172
-110 36 38 193 173
-111 37 39 194 174
-112 38 40 195 175
-113 176 39 41 196
-114 177 40 42 197
-115 198 178 41 43
-116 44 199 179 42
-117 45 200 180 43
-118 44 46 201 181
-119 45 47 202 182
-120 46 48 203 183
-121 47 49 204 184
-122 48 50 205 185
-123 49 51 206 186
-124 187 50 52 207
-125 188 51 53 208
-126 209 189 52 54
-127 55 210 190 53
-128 56 211 191 54
-129 55 57 212 192
-130 56 58 213 193
-131 57 59 214 194
-132 58 60 215 195
-133 59 61 216 196
-134 60 62 217 197
-135 198 61 63 218
-136 199 62 64 219
-137 200 147 63 65
-138 66 201 148 64
-139 67 202 149 65
-140 66 68 203 150
-141 67 69 204 151
-142 68 70 205 152
-143 69 71 206 153
-144 154 70 72 207
-145 155 71 73 208
-146 209 1 156 72
-147 266 137 247 84
-148 267 138 248 85
-149 268 139 249 86
-150 269 140 250 87
-151 88 270 141 251
-152 89 271 142 252
-153 143 253 90 272
-154 144 254 91 273
-155 145 255 92 274
-156 275 146 256 93
-157 276 257 94 74
-158 277 258 95 75
-159 278 259 96 76
-160 77 279 260 97
-161 78 280 261 98
-162 99 79 281 262
-163 100 80 282 263
-164 264 101 81 283
-165 265 102 82 284
-166 266 103 83 285
-167 286 267 104 84
-168 287 268 105 85
-169 288 269 106 86
-170 289 270 107 87
-171 88 290 271 108
-172 89 291 272 109
-173 110 90 292 273
-174 220 111 91 274
-175 275 221 112 92
-176 276 222 113 93
-177 277 223 114 94
-178 278 224 115 95
-179 279 225 116 96
-180 280 226 117 97
-181 281 227 118 98
-182 99 282 228 119
-183 100 283 229 120
-184 121 101 284 230
-185 231 122 102 285
-186 286 232 123 103
-187 287 233 124 104
-188 288 234 125 105
-189 289 235 126 106
-190 290 236 127 107
-191 291 237 128 108
-192 292 238 129 109
-193 110 220 239 130
-194 111 221 240 131
-195 132 112 222 241
-196 242 133 113 223
-197 243 134 114 224
-198 244 135 115 225
-199 245 136 116 226
-200 246 137 117 227
-201 247 138 118 228
-202 248 139 119 229
-203 249 140 120 230
-204 121 231 250 141
-205 122 232 251 142
-206 143 123 233 252
-207 253 144 124 234
-208 254 145 125 235
-209 255 146 126 236
-210 256 127 237 74
-211 257 128 238 75
-212 258 129 239 76
-213 77 259 130 240
-214 78 260 131 241
-215 132 242 79 261
-216 133 243 80 262
-217 134 244 81 263
-218 264 135 245 82
-219 265 136 246 83
-220 23 193 52 174
-221 24 194 53 175
-222 176 25 195 54
-223 55 177 26 196
-224 56 178 27 197
-225 198 57 179 28
-226 199 58 180 29
-227 200 59 181 30
-228 201 60 182 31
-229 202 61 183 32
-230 33 203 62 184
-231 34 204 63 185
-232 35 205 64 186
-233 187 36 206 65
-234 66 188 37 207
-235 67 189 38 208
-236 209 68 190 39
-237 210 69 191 40
-238 211 70 192 41
-239 212 71 193 42
-240 213 72 194 43
-241 44 214 73 195
-242 1 45 215 196
-243 2 46 216 197
-244 198 3 47 217
-245 199 4 48 218
-246 200 5 49 219
-247 201 147 6 50
-248 202 148 7 51
-249 203 149 8 52
-250 204 150 9 53
-251 205 151 10 54
-252 11 55 206 152
-253 12 56 207 153
-254 154 13 57 208
-255 209 155 14 58
-256 210 156 15 59
-257 211 157 16 60
-258 212 158 17 61
-259 213 159 18 62
-260 214 160 19 63
-261 215 161 20 64
-262 216 162 21 65
-263 22 66 217 163
-264 23 67 218 164
-265 165 24 68 219
-266 166 25 69 147
-267 167 26 70 148
-268 168 27 71 149
-269 169 28 72 150
-270 170 29 73 151
-271 1 171 30 152
-272 2 172 31 153
-273 154 3 173 32
-274 33 155 4 174
-275 34 156 5 175
-276 176 35 157 6
-277 177 36 158 7
-278 178 37 159 8
-279 179 38 160 9
-280 180 39 161 10
-281 11 181 40 162
-282 12 182 41 163
-283 13 183 42 164
-284 165 14 184 43
-285 44 166 15 185
-286 45 167 16 186
-287 187 46 168 17
-288 188 47 169 18
-289 189 48 170 19
-290 190 49 171 20
-291 191 50 172 21
-292 22 192 51 173
0