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