C4graphGraph forms for C4 [ 192, 8 ] = {4,4}_[24,4]

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On this page are computer-accessible forms for the graph C4[ 192, 8 ] = {4,4}_[24,4].

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {2, 3}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {142, 143}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {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}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {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}, {1, 2}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {67, 68}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139, 140}, {7, 8}, {183, 184}, {167, 168}, {151, 152}, {71, 72}, {55, 56}, {39, 40}, {23, 24}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {1, 49}, {143, 191}, {142, 190}, {72, 120}, {71, 119}, {70, 118}, {69, 117}, {68, 116}, {67, 115}, {66, 114}, {65, 113}, {64, 112}, {2, 50}, {3, 51}, {4, 52}, {5, 53}, {6, 54}, {7, 55}, {8, 56}, {9, 57}, {10, 58}, {11, 59}, {12, 60}, {13, 61}, {14, 62}, {15, 63}, {73, 121}, {74, 122}, {75, 123}, {76, 124}, {77, 125}, {78, 126}, {79, 127}, {128, 176}, {129, 177}, {130, 178}, {131, 179}, {132, 180}, {133, 181}, {134, 182}, {135, 183}, {136, 184}, {137, 185}, {138, 186}, {139, 187}, {140, 188}, {141, 189}, {1, 48}, {31, 32}, {159, 160}, {95, 96}, {16, 64}, {144, 192}, {63, 111}, {62, 110}, {61, 109}, {60, 108}, {59, 107}, {58, 106}, {57, 105}, {56, 104}, {55, 103}, {54, 102}, {53, 101}, {52, 100}, {51, 99}, {50, 98}, {49, 97}, {48, 96}, {17, 65}, {18, 66}, {19, 67}, {20, 68}, {21, 69}, {22, 70}, {23, 71}, {24, 72}, {25, 73}, {26, 74}, {27, 75}, {28, 76}, {29, 77}, {30, 78}, {31, 79}, {49, 96}, {145, 192}, {32, 80}, {47, 95}, {46, 94}, {45, 93}, {44, 92}, {43, 91}, {42, 90}, {41, 89}, {40, 88}, {39, 87}, {38, 86}, {33, 81}, {34, 82}, {35, 83}, {36, 84}, {37, 85}, {63, 64}, {191, 192}, {1, 149}, {43, 191}, {42, 190}, {41, 189}, {40, 188}, {2, 150}, {3, 151}, {8, 156}, {9, 157}, {10, 158}, {11, 159}, {32, 180}, {33, 181}, {34, 182}, {35, 183}, {4, 152}, {39, 187}, {38, 186}, {5, 153}, {6, 154}, {7, 155}, {36, 184}, {37, 185}, {48, 148}, {12, 160}, {13, 161}, {14, 162}, {15, 163}, {28, 176}, {29, 177}, {30, 178}, {31, 179}, {16, 164}, {17, 165}, {18, 166}, {19, 167}, {24, 172}, {25, 173}, {26, 174}, {27, 175}, {20, 168}, {47, 147}, {46, 146}, {45, 145}, {21, 169}, {22, 170}, {23, 171}, {80, 128}, {81, 129}, {82, 130}, {83, 131}, {84, 132}, {85, 133}, {86, 134}, {87, 135}, {88, 136}, {89, 137}, {90, 138}, {91, 139}, {92, 140}, {93, 141}, {94, 142}, {95, 143}, {112, 160}, {113, 161}, {114, 162}, {115, 163}, {116, 164}, {117, 165}, {118, 166}, {119, 167}, {120, 168}, {121, 169}, {122, 170}, {123, 171}, {124, 172}, {125, 173}, {126, 174}, {127, 175}, {44, 192}, {96, 144}, {97, 145}, {98, 146}, {99, 147}, {100, 148}, {101, 149}, {102, 150}, {103, 151}, {104, 152}, {105, 153}, {106, 154}, {107, 155}, {108, 156}, {109, 157}, {110, 158}, {111, 159}, {97, 144}, {127, 128} }>;

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

(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.

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&Graph
C4[ 192, 8 ]
192
-1 2 48 49 149
-2 1 3 50 150
-3 2 4 51 151
-4 3 5 52 152
-5 4 6 53 153
-6 154 5 7 54
-7 55 155 6 8
-8 56 156 7 9
-9 57 157 8 10
-10 11 58 158 9
-11 12 59 159 10
-12 11 13 60 160
-13 12 14 61 161
-14 13 15 62 162
-15 14 16 63 163
-16 15 17 64 164
-17 165 16 18 65
-18 66 166 17 19
-19 67 167 18 20
-20 68 168 19 21
-21 22 69 169 20
-22 23 70 170 21
-23 22 24 71 171
-24 23 25 72 172
-25 24 26 73 173
-26 25 27 74 174
-27 26 28 75 175
-28 176 27 29 76
-29 77 177 28 30
-30 78 178 29 31
-31 79 179 30 32
-32 33 80 180 31
-33 34 81 181 32
-34 33 35 82 182
-35 34 36 83 183
-36 35 37 84 184
-37 36 38 85 185
-38 37 39 86 186
-39 187 38 40 87
-40 88 188 39 41
-41 89 189 40 42
-42 90 190 41 43
-43 44 91 191 42
-44 45 92 192 43
-45 44 46 145 93
-46 45 47 146 94
-47 46 48 147 95
-48 1 47 148 96
-49 1 50 96 97
-50 2 49 51 98
-51 99 3 50 52
-52 100 4 51 53
-53 101 5 52 54
-54 55 102 6 53
-55 56 103 7 54
-56 55 57 104 8
-57 56 58 105 9
-58 57 59 106 10
-59 11 58 60 107
-60 12 59 61 108
-61 13 60 62 109
-62 110 14 61 63
-63 111 15 62 64
-64 112 16 63 65
-65 66 113 17 64
-66 67 114 18 65
-67 66 68 115 19
-68 67 69 116 20
-69 68 70 117 21
-70 22 69 71 118
-71 23 70 72 119
-72 24 71 73 120
-73 121 25 72 74
-74 122 26 73 75
-75 123 27 74 76
-76 77 124 28 75
-77 78 125 29 76
-78 77 79 126 30
-79 78 80 127 31
-80 79 81 128 32
-81 33 80 82 129
-82 34 81 83 130
-83 35 82 84 131
-84 132 36 83 85
-85 133 37 84 86
-86 134 38 85 87
-87 88 135 39 86
-88 89 136 40 87
-89 88 90 137 41
-90 89 91 138 42
-91 90 92 139 43
-92 44 91 93 140
-93 45 92 94 141
-94 46 93 95 142
-95 143 47 94 96
-96 144 48 49 95
-97 144 145 49 98
-98 99 146 50 97
-99 100 147 51 98
-100 99 101 148 52
-101 100 102 149 53
-102 101 103 150 54
-103 55 102 104 151
-104 56 103 105 152
-105 57 104 106 153
-106 154 58 105 107
-107 155 59 106 108
-108 156 60 107 109
-109 110 157 61 108
-110 111 158 62 109
-111 110 112 159 63
-112 111 113 160 64
-113 112 114 161 65
-114 66 113 115 162
-115 67 114 116 163
-116 68 115 117 164
-117 165 69 116 118
-118 166 70 117 119
-119 167 71 118 120
-120 121 168 72 119
-121 122 169 73 120
-122 121 123 170 74
-123 122 124 171 75
-124 123 125 172 76
-125 77 124 126 173
-126 78 125 127 174
-127 79 126 128 175
-128 176 80 127 129
-129 177 81 128 130
-130 178 82 129 131
-131 132 179 83 130
-132 133 180 84 131
-133 132 134 181 85
-134 133 135 182 86
-135 134 136 183 87
-136 88 135 137 184
-137 89 136 138 185
-138 90 137 139 186
-139 187 91 138 140
-140 188 92 139 141
-141 189 93 140 142
-142 143 190 94 141
-143 144 191 95 142
-144 143 192 96 97
-145 45 146 192 97
-146 46 145 147 98
-147 99 47 146 148
-148 100 48 147 149
-149 1 101 148 150
-150 2 102 149 151
-151 3 103 150 152
-152 4 104 151 153
-153 154 5 105 152
-154 155 6 106 153
-155 154 156 7 107
-156 155 157 8 108
-157 156 158 9 109
-158 110 157 159 10
-159 11 111 158 160
-160 12 112 159 161
-161 13 113 160 162
-162 14 114 161 163
-163 15 115 162 164
-164 165 16 116 163
-165 166 17 117 164
-166 165 167 18 118
-167 166 168 19 119
-168 167 169 20 120
-169 121 168 170 21
-170 22 122 169 171
-171 23 123 170 172
-172 24 124 171 173
-173 25 125 172 174
-174 26 126 173 175
-175 176 27 127 174
-176 177 28 128 175
-177 176 178 29 129
-178 177 179 30 130
-179 178 180 31 131
-180 132 179 181 32
-181 33 133 180 182
-182 34 134 181 183
-183 35 135 182 184
-184 36 136 183 185
-185 37 137 184 186
-186 187 38 138 185
-187 188 39 139 186
-188 187 189 40 140
-189 188 190 41 141
-190 189 191 42 142
-191 143 190 192 43
-192 44 144 145 191
0

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