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