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On this page are computer-accessible forms for the graph C4[ 192, 79 ] = UG(ATD[192,14]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {65, 67} under the group generated by the following permutations:

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

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