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On this page are computer-accessible forms for the graph C4[ 168, 5 ] = C_168(1,43).

(I) Following is a form readable by MAGMA:

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

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

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