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On this page are computer-accessible forms for the graph C4[ 192, 3 ] = C_192(1,65).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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