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On this page are computer-accessible forms for the graph C4[ 192, 41 ] = PL(LoPr_24(3,4,6,4,3),[8^12,12^8]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 111} under the group generated by the following permutations:

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

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

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