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On this page are computer-accessible forms for the graph C4[ 192, 18 ] = MPS(8,48;7).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {48, 52} under the group generated by the following permutations:

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

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

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