C4graphGraph forms for C4 [ 192, 56 ] = KE_48(1,33,22,13,23)

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On this page are computer-accessible forms for the graph C4[ 192, 56 ] = KE_48(1,33,22,13,23).

(I) Following is a form readable by MAGMA:

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

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

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

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