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