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