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