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On this page are computer-accessible forms for the graph C4[ 192, 166 ] = BGCG(UG(ATD[96,4]);K1;{2,4}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 101} under the group generated by the following permutations:

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

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

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