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