C4graphGraph forms for C4 [ 192, 55 ] = KE_48(1,9,22,37,23)

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On this page are computer-accessible forms for the graph C4[ 192, 55 ] = KE_48(1,9,22,37,23).

(I) Following is a form readable by MAGMA:

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

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

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

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