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On this page are computer-accessible forms for the graph C4[ 192, 86 ] = UG(ATD[192,38]).

(I) Following is a form readable by MAGMA:

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

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

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

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