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On this page are computer-accessible forms for the graph C4[ 192, 67 ] = PL(Curtain_24(1,12,7,11,23),[4^24,16^6]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {96, 106} under the group generated by the following permutations:

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

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

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