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On this page are computer-accessible forms for the graph C4[ 176, 4 ] = {4,4}_[22,4].

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

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

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