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