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On this page are computer-accessible forms for the graph C4[ 189, 8 ] = PS(3,63;5).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {122, 127} under the group generated by the following permutations:

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

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

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