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