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On this page are computer-accessible forms for the graph C4[ 189, 7 ] = PS(3,63;4).

(I) Following is a form readable by MAGMA:

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

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

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