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

On this page are computer-accessible forms for the graph C4[ 192, 15 ] = PS(8,48;5).

(I) Following is a form readable by MAGMA:

g:=Graph<192|{ {48, 51}, {144, 147}, {96, 106}, {64, 75}, {164, 175}, {160, 171}, {68, 79}, {64, 76}, {163, 175}, {162, 174}, {161, 173}, {160, 172}, {65, 77}, {66, 78}, {67, 79}, {65, 76}, {163, 174}, {161, 172}, {67, 78}, {66, 77}, {162, 173}, {96, 111}, {68, 80}, {167, 179}, {166, 178}, {165, 177}, {164, 176}, {69, 81}, {70, 82}, {71, 83}, {69, 80}, {167, 178}, {165, 176}, {71, 82}, {32, 54}, {137, 159}, {136, 158}, {129, 151}, {128, 150}, {41, 63}, {40, 62}, {33, 55}, {8, 31}, {166, 177}, {104, 127}, {70, 81}, {1, 25}, {103, 127}, {102, 126}, {101, 125}, {7, 31}, {6, 30}, {5, 29}, {4, 28}, {3, 27}, {2, 26}, {97, 121}, {98, 122}, {99, 123}, {100, 124}, {3, 26}, {103, 126}, {7, 30}, {5, 28}, {99, 122}, {101, 124}, {34, 56}, {135, 157}, {134, 156}, {131, 153}, {130, 152}, {39, 61}, {38, 60}, {35, 57}, {2, 25}, {168, 179}, {132, 159}, {128, 155}, {102, 125}, {36, 63}, {32, 59}, {6, 29}, {72, 83}, {98, 121}, {72, 84}, {168, 180}, {33, 60}, {143, 146}, {131, 158}, {129, 156}, {47, 50}, {35, 62}, {36, 58}, {133, 155}, {132, 154}, {37, 59}, {4, 27}, {142, 145}, {130, 157}, {46, 49}, {34, 61}, {100, 123}, {73, 107}, {76, 110}, {77, 111}, {80, 114}, {81, 115}, {84, 118}, {85, 119}, {148, 183}, {156, 191}, {152, 187}, {145, 181}, {155, 191}, {154, 190}, {153, 189}, {152, 188}, {147, 183}, {146, 182}, {29, 56}, {155, 190}, {153, 188}, {147, 182}, {145, 180}, {141, 168}, {135, 162}, {133, 160}, {31, 58}, {74, 108}, {75, 109}, {82, 116}, {83, 117}, {30, 57}, {154, 189}, {146, 181}, {134, 161}, {80, 119}, {8, 32}, {24, 48}, {15, 39}, {14, 38}, {13, 37}, {12, 36}, {11, 35}, {10, 34}, {9, 33}, {9, 32}, {15, 38}, {13, 36}, {11, 34}, {81, 120}, {27, 49}, {143, 165}, {142, 164}, {139, 161}, {138, 160}, {31, 53}, {30, 52}, {10, 33}, {140, 167}, {136, 163}, {28, 55}, {14, 37}, {148, 184}, {151, 187}, {150, 186}, {149, 185}, {25, 52}, {151, 186}, {149, 184}, {139, 166}, {137, 164}, {27, 54}, {28, 50}, {141, 163}, {140, 162}, {29, 51}, {86, 120}, {12, 35}, {150, 185}, {138, 165}, {26, 53}, {1, 48}, {83, 98}, {85, 100}, {87, 102}, {89, 104}, {91, 106}, {93, 108}, {95, 110}, {82, 97}, {86, 101}, {90, 105}, {94, 109}, {157, 169}, {159, 171}, {158, 170}, {159, 170}, {87, 97}, {144, 166}, {94, 104}, {95, 105}, {16, 39}, {158, 169}, {24, 47}, {84, 99}, {92, 107}, {16, 40}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {18, 42}, {17, 41}, {17, 40}, {23, 46}, {21, 44}, {19, 42}, {73, 112}, {75, 114}, {77, 116}, {79, 118}, {88, 98}, {89, 99}, {92, 102}, {93, 103}, {18, 41}, {22, 45}, {74, 113}, {78, 117}, {78, 112}, {79, 113}, {90, 100}, {91, 101}, {20, 43}, {76, 115}, {88, 103}, {26, 72}, {60, 96}, {156, 192}, {61, 96}, {157, 192}, {25, 71}, {52, 87}, {56, 91}, {60, 95}, {49, 85}, {51, 87}, {50, 86}, {56, 92}, {57, 93}, {58, 94}, {59, 95}, {37, 64}, {51, 86}, {49, 84}, {45, 72}, {39, 66}, {57, 92}, {59, 94}, {38, 65}, {50, 85}, {58, 93}, {42, 64}, {47, 69}, {46, 68}, {43, 65}, {40, 67}, {44, 71}, {52, 88}, {53, 89}, {54, 90}, {55, 91}, {41, 68}, {43, 70}, {53, 88}, {55, 90}, {44, 66}, {45, 67}, {42, 69}, {54, 89}, {61, 73}, {62, 74}, {63, 75}, {63, 74}, {48, 70}, {62, 73}, {11, 169}, {23, 181}, {22, 180}, {19, 177}, {18, 176}, {15, 173}, {14, 172}, {12, 170}, {21, 179}, {20, 178}, {13, 171}, {23, 176}, {24, 177}, {24, 182}, {2, 179}, {14, 191}, {12, 189}, {10, 187}, {8, 185}, {6, 183}, {4, 181}, {1, 178}, {13, 190}, {9, 186}, {5, 182}, {1, 183}, {9, 191}, {8, 190}, {3, 180}, {11, 188}, {16, 169}, {22, 175}, {20, 173}, {18, 171}, {2, 184}, {7, 189}, {6, 188}, {3, 185}, {17, 170}, {21, 174}, {4, 186}, {17, 175}, {16, 174}, {5, 187}, {7, 184}, {19, 172}, {10, 192}, {15, 192}, {122, 168}, {121, 167}, {125, 152}, {127, 154}, {126, 153}, {104, 128}, {120, 144}, {111, 135}, {110, 134}, {109, 133}, {108, 132}, {107, 131}, {106, 130}, {105, 129}, {105, 128}, {111, 134}, {109, 132}, {107, 130}, {123, 145}, {127, 149}, {126, 148}, {106, 129}, {124, 151}, {110, 133}, {121, 148}, {123, 150}, {124, 146}, {125, 147}, {108, 131}, {122, 149}, {97, 144}, {112, 135}, {120, 143}, {112, 136}, {119, 143}, {118, 142}, {117, 141}, {116, 140}, {115, 139}, {114, 138}, {113, 137}, {113, 136}, {119, 142}, {117, 140}, {115, 138}, {114, 137}, {118, 141}, {116, 139} }>;

(II) A more general form is to represent the graph as the orbit of {48, 51} under the group generated by the following permutations:

a: (2, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12, 14)(25, 48)(26, 47)(27, 46)(28, 45)(29, 44)(30, 43)(31, 42)(32, 41)(33, 40)(34, 39)(35, 38)(36, 37)(50, 72)(51, 71)(52, 70)(53, 69)(54, 68)(55, 67)(56, 66)(57, 65)(58, 64)(59, 63)(60, 62)(73, 96)(74, 95)(75, 94)(76, 93)(77, 92)(78, 91)(79, 90)(80, 89)(81, 88)(82, 87)(83, 86)(84, 85)(98, 120)(99, 119)(100, 118)(101, 117)(102, 116)(103, 115)(104, 114)(105, 113)(106, 112)(107, 111)(108, 110)(121, 144)(122, 143)(123, 142)(124, 141)(125, 140)(126, 139)(127, 138)(128, 137)(129, 136)(130, 135)(131, 134)(132, 133)(146, 168)(147, 167)(148, 166)(149, 165)(150, 164)(151, 163)(152, 162)(153, 161)(154, 160)(155, 159)(156, 158)(169, 192)(170, 191)(171, 190)(172, 189)(173, 188)(174, 187)(175, 186)(176, 185)(177, 184)(178, 183)(179, 182)(180, 181)
b: (1, 25, 2, 26, 3, 27, 4, 28, 5, 29, 6, 30, 7, 31, 8, 32, 9, 33, 10, 34, 11, 35, 12, 36, 13, 37, 14, 38, 15, 39, 16, 40, 17, 41, 18, 42, 19, 43, 20, 44, 21, 45, 22, 46, 23, 47, 24, 48)(49, 181, 50, 182, 51, 183, 52, 184, 53, 185, 54, 186, 55, 187, 56, 188, 57, 189, 58, 190, 59, 191, 60, 192, 61, 169, 62, 170, 63, 171, 64, 172, 65, 173, 66, 174, 67, 175, 68, 176, 69, 177, 70, 178, 71, 179, 72, 180)(73, 158, 74, 159, 75, 160, 76, 161, 77, 162, 78, 163, 79, 164, 80, 165, 81, 166, 82, 167, 83, 168, 84, 145, 85, 146, 86, 147, 87, 148, 88, 149, 89, 150, 90, 151, 91, 152, 92, 153, 93, 154, 94, 155, 95, 156, 96, 157)(97, 121, 98, 122, 99, 123, 100, 124, 101, 125, 102, 126, 103, 127, 104, 128, 105, 129, 106, 130, 107, 131, 108, 132, 109, 133, 110, 134, 111, 135, 112, 136, 113, 137, 114, 138, 115, 139, 116, 140, 117, 141, 118, 142, 119, 143, 120, 144)
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, 190, 191, 192)
d: (2, 6)(3, 11)(4, 16)(5, 21)(8, 12)(9, 17)(10, 22)(14, 18)(15, 23)(20, 24)(25, 183)(26, 188)(27, 169)(28, 174)(29, 179)(30, 184)(31, 189)(32, 170)(33, 175)(34, 180)(35, 185)(36, 190)(37, 171)(38, 176)(39, 181)(40, 186)(41, 191)(42, 172)(43, 177)(44, 182)(45, 187)(46, 192)(47, 173)(48, 178)(49, 157)(50, 162)(51, 167)(52, 148)(53, 153)(54, 158)(55, 163)(56, 168)(57, 149)(58, 154)(59, 159)(60, 164)(61, 145)(62, 150)(63, 155)(64, 160)(65, 165)(66, 146)(67, 151)(68, 156)(69, 161)(70, 166)(71, 147)(72, 152)(73, 123)(74, 128)(75, 133)(76, 138)(77, 143)(78, 124)(79, 129)(80, 134)(81, 139)(82, 144)(83, 125)(84, 130)(85, 135)(86, 140)(87, 121)(88, 126)(89, 131)(90, 136)(91, 141)(92, 122)(93, 127)(94, 132)(95, 137)(96, 142)(98, 102)(99, 107)(100, 112)(101, 117)(104, 108)(105, 113)(106, 118)(110, 114)(111, 119)(116, 120)

(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[ 192, 15 ]
192
-1 178 25 48 183
-2 25 179 26 184
-3 26 180 27 185
-4 27 181 28 186
-5 187 28 182 29
-6 188 29 183 30
-7 189 30 184 31
-8 190 31 185 32
-9 33 191 32 186
-10 33 187 34 192
-11 34 188 35 169
-12 35 189 36 170
-13 36 190 37 171
-14 37 191 38 172
-15 38 192 39 173
-16 169 39 40 174
-17 170 40 41 175
-18 176 171 41 42
-19 177 172 42 43
-20 44 178 173 43
-21 44 45 179 174
-22 45 46 180 175
-23 176 46 47 181
-24 177 47 48 182
-25 1 2 71 52
-26 2 3 72 53
-27 3 4 49 54
-28 55 4 5 50
-29 56 5 6 51
-30 57 6 7 52
-31 58 7 8 53
-32 59 8 9 54
-33 55 60 9 10
-34 11 56 61 10
-35 11 12 57 62
-36 12 13 58 63
-37 13 14 59 64
-38 14 15 60 65
-39 66 15 16 61
-40 67 16 17 62
-41 68 17 18 63
-42 69 18 19 64
-43 70 19 20 65
-44 66 71 20 21
-45 22 67 72 21
-46 22 23 68 49
-47 23 24 69 50
-48 1 24 70 51
-49 46 27 84 85
-50 47 28 85 86
-51 48 29 86 87
-52 88 25 30 87
-53 88 89 26 31
-54 89 90 27 32
-55 33 90 91 28
-56 34 91 92 29
-57 35 92 93 30
-58 36 93 94 31
-59 37 94 95 32
-60 33 38 95 96
-61 34 39 73 96
-62 35 40 73 74
-63 36 41 74 75
-64 37 42 75 76
-65 77 38 43 76
-66 44 77 78 39
-67 45 78 79 40
-68 46 79 80 41
-69 47 80 81 42
-70 48 81 82 43
-71 44 25 82 83
-72 45 26 83 84
-73 112 61 62 107
-74 113 62 63 108
-75 114 63 64 109
-76 110 115 64 65
-77 66 111 116 65
-78 66 67 112 117
-79 67 68 113 118
-80 68 69 114 119
-81 69 70 115 120
-82 70 71 116 97
-83 71 72 117 98
-84 99 49 72 118
-85 100 49 50 119
-86 101 50 51 120
-87 102 51 52 97
-88 103 52 53 98
-89 99 104 53 54
-90 55 100 105 54
-91 55 56 101 106
-92 56 57 102 107
-93 57 58 103 108
-94 58 59 104 109
-95 110 59 60 105
-96 111 60 61 106
-97 121 144 82 87
-98 88 121 122 83
-99 89 122 123 84
-100 90 123 124 85
-101 91 124 125 86
-102 92 125 126 87
-103 88 93 126 127
-104 89 94 127 128
-105 90 95 128 129
-106 91 96 129 130
-107 92 73 130 131
-108 132 93 74 131
-109 132 133 94 75
-110 133 134 95 76
-111 77 134 135 96
-112 78 135 136 73
-113 79 136 137 74
-114 80 137 138 75
-115 81 138 139 76
-116 77 82 139 140
-117 78 83 140 141
-118 79 84 141 142
-119 143 80 85 142
-120 143 144 81 86
-121 167 148 97 98
-122 99 168 149 98
-123 99 100 145 150
-124 100 101 146 151
-125 101 102 147 152
-126 102 103 148 153
-127 154 103 104 149
-128 155 104 105 150
-129 156 105 106 151
-130 157 106 107 152
-131 158 107 108 153
-132 154 159 108 109
-133 110 155 160 109
-134 110 111 156 161
-135 111 112 157 162
-136 112 113 158 163
-137 113 114 159 164
-138 165 114 115 160
-139 166 115 116 161
-140 167 116 117 162
-141 168 117 118 163
-142 145 118 119 164
-143 165 146 119 120
-144 166 147 97 120
-145 123 180 181 142
-146 143 124 181 182
-147 144 125 182 183
-148 121 126 183 184
-149 122 127 184 185
-150 123 128 185 186
-151 187 124 129 186
-152 187 188 125 130
-153 188 189 126 131
-154 132 189 190 127
-155 133 190 191 128
-156 134 191 192 129
-157 135 169 192 130
-158 136 169 170 131
-159 132 137 170 171
-160 133 138 171 172
-161 134 139 172 173
-162 135 140 173 174
-163 136 141 174 175
-164 176 137 142 175
-165 143 176 177 138
-166 144 177 178 139
-167 121 178 179 140
-168 122 179 180 141
-169 11 157 158 16
-170 12 158 159 17
-171 13 159 160 18
-172 14 160 161 19
-173 15 161 162 20
-174 16 162 163 21
-175 22 17 163 164
-176 165 23 18 164
-177 165 166 24 19
-178 1 166 167 20
-179 2 167 168 21
-180 22 145 3 168
-181 23 145 146 4
-182 24 146 147 5
-183 1 147 148 6
-184 2 148 149 7
-185 3 149 150 8
-186 4 150 151 9
-187 5 151 152 10
-188 11 6 152 153
-189 154 12 7 153
-190 154 155 13 8
-191 155 156 14 9
-192 156 157 15 10
0

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