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