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On this page are computer-accessible forms for the graph C4[ 192, 168 ] = BGCG(UG(ATD[96,48]);K1;{1,3}).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 105} under the group generated by the following permutations:

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

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

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