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On this page are computer-accessible forms for the graph C4[ 192, 77 ] = UG(ATD[192,7]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {94, 95} under the group generated by the following permutations:

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

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

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