[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 176, 5 ] = {4,4}_<24,20>.

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

(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.

**************

&Graph
C4[ 176, 5 ]
176
-1 44 45 2 137
-2 1 46 3 138
-3 2 47 4 139
-4 3 48 5 140
-5 4 49 6 141
-6 5 50 7 142
-7 143 6 51 8
-8 144 7 52 9
-9 145 8 53 10
-10 11 146 9 54
-11 55 12 147 10
-12 11 56 13 148
-13 12 57 14 149
-14 13 58 15 150
-15 14 59 16 151
-16 15 60 17 152
-17 16 61 18 153
-18 154 17 62 19
-19 155 18 63 20
-20 156 19 64 21
-21 22 157 20 65
-22 66 23 158 21
-23 22 67 24 159
-24 23 68 25 160
-25 24 69 26 161
-26 25 70 27 162
-27 26 71 28 163
-28 27 72 29 164
-29 165 28 73 30
-30 166 29 74 31
-31 167 30 75 32
-32 33 168 31 76
-33 77 34 169 32
-34 33 78 35 170
-35 34 79 36 171
-36 35 80 37 172
-37 36 81 38 173
-38 37 82 39 174
-39 38 83 40 175
-40 176 39 84 41
-41 133 40 85 42
-42 134 41 86 43
-43 44 135 42 87
-44 88 1 136 43
-45 88 1 89 46
-46 45 2 90 47
-47 46 3 91 48
-48 47 4 92 49
-49 48 5 93 50
-50 49 6 94 51
-51 50 7 95 52
-52 51 8 96 53
-53 52 9 97 54
-54 55 53 10 98
-55 11 99 56 54
-56 55 12 100 57
-57 56 13 101 58
-58 57 14 102 59
-59 58 15 103 60
-60 59 16 104 61
-61 60 17 105 62
-62 61 18 106 63
-63 62 19 107 64
-64 63 20 108 65
-65 66 64 21 109
-66 22 110 67 65
-67 66 23 111 68
-68 67 24 112 69
-69 68 25 113 70
-70 69 26 114 71
-71 70 27 115 72
-72 71 28 116 73
-73 72 29 117 74
-74 73 30 118 75
-75 74 31 119 76
-76 77 75 32 120
-77 33 121 78 76
-78 77 34 122 79
-79 78 35 123 80
-80 79 36 124 81
-81 80 37 125 82
-82 81 38 126 83
-83 82 39 127 84
-84 83 40 128 85
-85 84 41 129 86
-86 85 42 130 87
-87 88 86 43 131
-88 44 132 45 87
-89 132 45 133 90
-90 89 46 134 91
-91 90 47 135 92
-92 91 48 136 93
-93 92 49 137 94
-94 93 50 138 95
-95 94 51 139 96
-96 95 52 140 97
-97 96 53 141 98
-98 99 97 54 142
-99 55 143 100 98
-100 99 56 144 101
-101 100 57 145 102
-102 101 58 146 103
-103 102 59 147 104
-104 103 60 148 105
-105 104 61 149 106
-106 105 62 150 107
-107 106 63 151 108
-108 107 64 152 109
-109 110 108 65 153
-110 66 154 111 109
-111 110 67 155 112
-112 111 68 156 113
-113 112 69 157 114
-114 113 70 158 115
-115 114 71 159 116
-116 115 72 160 117
-117 116 73 161 118
-118 117 74 162 119
-119 118 75 163 120
-120 121 119 76 164
-121 77 165 122 120
-122 121 78 166 123
-123 122 79 167 124
-124 123 80 168 125
-125 124 81 169 126
-126 125 82 170 127
-127 126 83 171 128
-128 127 84 172 129
-129 128 85 173 130
-130 129 86 174 131
-131 132 130 87 175
-132 88 176 89 131
-133 176 89 134 41
-134 133 90 135 42
-135 134 91 136 43
-136 44 135 92 137
-137 1 136 93 138
-138 2 137 94 139
-139 3 138 95 140
-140 4 139 96 141
-141 5 140 97 142
-142 143 6 141 98
-143 99 144 7 142
-144 143 100 145 8
-145 144 101 146 9
-146 145 102 147 10
-147 11 146 103 148
-148 12 147 104 149
-149 13 148 105 150
-150 14 149 106 151
-151 15 150 107 152
-152 16 151 108 153
-153 154 17 152 109
-154 110 155 18 153
-155 154 111 156 19
-156 155 112 157 20
-157 156 113 158 21
-158 22 157 114 159
-159 23 158 115 160
-160 24 159 116 161
-161 25 160 117 162
-162 26 161 118 163
-163 27 162 119 164
-164 165 28 163 120
-165 121 166 29 164
-166 165 122 167 30
-167 166 123 168 31
-168 167 124 169 32
-169 33 168 125 170
-170 34 169 126 171
-171 35 170 127 172
-172 36 171 128 173
-173 37 172 129 174
-174 38 173 130 175
-175 176 39 174 131
-176 132 133 40 175
0

**************