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On this page are computer-accessible forms for the graph C4[ 192, 170 ] = BGCG(UG(ATD[96,48]);K1;{10,11}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 107} under the group generated by the following permutations:

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

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

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