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