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