C4graphGraph forms for C4 [ 192, 93 ] = UG(ATD[192,55])

[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 192, 93 ] = UG(ATD[192,55]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {84, 85} under the group generated by the following permutations:

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

**************

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

**************