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