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On this page are computer-accessible forms for the graph C4[ 176, 2 ] = C_176(1,23).

(I) Following is a form readable by MAGMA:

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

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

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