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