C4graphGraph forms for C4 [ 192, 68 ] = PL(Curtain_24(1,12,8,13,20),[4^24,8^12])

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On this page are computer-accessible forms for the graph C4[ 192, 68 ] = PL(Curtain_24(1,12,8,13,20),[4^24,8^12]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {67, 98} under the group generated by the following permutations:

a: (18, 33)(20, 34)(21, 35)(29, 52)(45, 56)(48, 59)(67, 73)(68, 69)(105, 167)(120, 143)(126, 156)(176, 187)
b: (19, 24)(21, 35)(22, 39, 36, 58)(23, 62, 37, 40)(28, 32)(29, 52)(30, 43, 53, 47)(31, 50, 54, 44)(38, 64)(42, 65)(45, 67, 48, 68)(46, 66, 60, 49)(56, 73, 59, 69)(57, 78, 70, 61)(75, 86)(83, 91)(98, 140, 170, 118)(100, 125)(102, 128)(104, 138, 164, 108)(105, 187)(110, 152)(112, 133)(114, 134)(115, 151)(120, 156)(122, 179)(126, 143)(132, 188, 145, 177)(136, 161, 153, 182)(142, 180)(146, 172)(149, 162)(160, 168)(167, 176)(174, 189)
c: (22, 36)(30, 53)(40, 62)(44, 50)(46, 60)(57, 70)(67, 68)(69, 73)(98, 170)(108, 138)(132, 145)(161, 182)
d: (7, 15)(11, 25)(21, 29)(35, 52)(38, 42)(64, 65)(88, 92)(90, 95)(103, 165)(116, 139)(124, 158)(178, 183)
e: (3, 7)(4, 11)(6, 15)(8, 38)(10, 25)(12, 42)(16, 64)(18, 21)(20, 29)(26, 65)(33, 35)(34, 52)(39, 43)(41, 55)(47, 58)(51, 63)(67, 73)(68, 69)(71, 95)(76, 92)(79, 90)(84, 88)(89, 93)(94, 96)(101, 173)(103, 106)(105, 126)(109, 123)(112, 160)(113, 157)(114, 174)(116, 163)(117, 165)(120, 187)(121, 127)(124, 184)(131, 144)(133, 189)(134, 168)(135, 183)(137, 178)(139, 191)(143, 176)(154, 158)(155, 166)(156, 167)(169, 186)(175, 192)
f: (8, 16)(12, 26)(22, 30)(36, 53)(38, 64)(39, 43)(42, 65)(47, 58)(112, 114)(133, 134)(160, 174)(168, 189)
g: (9, 17)(13, 27)(23, 31)(37, 54)(40, 44)(50, 62)(75, 86)(83, 91)(102, 162)(115, 122)(128, 149)(151, 179)
h: (1, 3, 2, 6)(4, 14, 10, 5)(7, 41)(8, 13, 12, 9)(11, 55)(15, 51)(16, 27, 26, 17)(18, 28, 20, 19)(21, 74)(22, 23)(24, 33, 32, 34)(25, 63)(29, 81)(30, 31)(35, 82)(36, 37)(38, 83)(39, 40)(42, 75)(43, 44)(45, 46)(47, 50)(48, 60)(49, 73)(52, 87)(53, 54)(56, 57)(58, 62)(59, 70)(61, 67)(64, 91)(65, 86)(66, 69)(68, 78)(71, 80, 79, 72)(76, 85, 84, 77)(88, 89)(90, 93)(92, 94)(95, 96)(97, 106, 119, 117)(98, 164)(99, 165)(100, 167)(101, 169)(102, 168)(103, 171)(104, 170)(105, 172)(107, 116)(108, 118)(110, 120)(111, 191, 190, 163)(112, 122)(114, 115)(123, 155)(124, 148)(125, 187)(126, 152)(127, 175)(128, 160)(129, 183)(130, 184, 159, 154)(131, 173)(132, 188)(133, 179)(134, 151)(135, 181, 137, 147)(136, 161)(138, 140)(139, 141)(142, 143)(145, 177)(146, 176)(149, 174)(150, 178)(153, 182)(156, 180)(157, 186)(158, 185)(162, 189)(166, 192)
m: (41, 51)(55, 63)(74, 81)(75, 83)(82, 87)(86, 91)(89, 94)(93, 96)(99, 171)(107, 141)(129, 150)(148, 185)
n1: (23, 37)(31, 54)(39, 58)(43, 47)(45, 48)(49, 66)(56, 59)(61, 78)(104, 164)(118, 140)(136, 153)(177, 188)
a1: (71, 76)(72, 77)(79, 84)(80, 85)(88, 90)(89, 93)(92, 95)(94, 96)(101, 169)(113, 144)(131, 157)(173, 186)
b1: (3, 6)(4, 10)(8, 12)(16, 26)(18, 20)(33, 34)(71, 79)(76, 84)(106, 117)(135, 137)(154, 184)(163, 191)
c1: (1, 2)(5, 14)(9, 32)(13, 24)(17, 28)(19, 27)(23, 49)(31, 61)(37, 66)(39, 58)(40, 57)(43, 47)(44, 46)(50, 60)(54, 78)(62, 70)(67, 68)(69, 73)(74, 83)(75, 81)(82, 91)(86, 87)(89, 94)(93, 96)(97, 181)(98, 182)(99, 150)(100, 122)(102, 142)(104, 177)(107, 185)(108, 132)(110, 162)(111, 159)(115, 172)(118, 136)(119, 147)(125, 151)(128, 152)(129, 171)(130, 190)(138, 145)(140, 153)(141, 148)(146, 179)(149, 180)(161, 170)(164, 188)
d1: (2, 5)(3, 9)(4, 13)(6, 17)(7, 24)(8, 40)(10, 27)(11, 32)(12, 44)(15, 19)(16, 62)(18, 23)(20, 31)(21, 49)(25, 28)(26, 50)(29, 61)(30, 36)(33, 37)(34, 54)(35, 66)(38, 57)(39, 68)(41, 72)(42, 46)(43, 67)(47, 73)(48, 56)(51, 77)(52, 78)(55, 80)(58, 69)(60, 65)(63, 85)(64, 70)(71, 86)(74, 88)(75, 79)(76, 91)(81, 90)(82, 92)(83, 84)(87, 95)(93, 94)(97, 109)(98, 134)(99, 169)(100, 183)(101, 171)(102, 154)(103, 146)(104, 156)(105, 188)(106, 179)(107, 113)(108, 160)(110, 124)(111, 192)(112, 132)(114, 145)(115, 137)(116, 152)(117, 151)(118, 187)(119, 121)(120, 136)(122, 135)(123, 147)(125, 165)(126, 164)(127, 181)(128, 163)(129, 173)(130, 175)(131, 148)(133, 170)(138, 174)(139, 180)(140, 176)(141, 144)(142, 158)(143, 153)(149, 191)(150, 186)(155, 159)(157, 185)(161, 189)(162, 184)(166, 190)(167, 177)(168, 182)(172, 178)
e1: (9, 24)(13, 32)(17, 19)(23, 49)(27, 28)(31, 61)(37, 66)(39, 58)(40, 57)(43, 47)(44, 46)(50, 60)(54, 78)(62, 70)(67, 68)(69, 73)(72, 80)(74, 83)(75, 81)(77, 85)(82, 91)(86, 87)(89, 94)(93, 96)(97, 147)(98, 182)(99, 150)(100, 122)(102, 142)(104, 177)(107, 185)(108, 132)(110, 162)(111, 130)(115, 172)(118, 136)(119, 181)(125, 151)(128, 152)(129, 171)(138, 145)(140, 153)(141, 148)(146, 179)(149, 180)(159, 190)(161, 170)(164, 188)
f1: (19, 24)(28, 32)(46, 57)(49, 61)(60, 70)(66, 78)(74, 82)(81, 87)(100, 172)(110, 142)(125, 146)(152, 180)
g1: (7, 15)(8, 18)(11, 25)(12, 20)(16, 33)(19, 24)(21, 42)(22, 45)(23, 40)(26, 34)(28, 32)(29, 38)(30, 56)(31, 44)(35, 65)(36, 48)(37, 62)(39, 68)(43, 69)(46, 49)(47, 73)(50, 54)(52, 64)(53, 59)(57, 61)(58, 67)(60, 66)(70, 78)(71, 79)(75, 86)(76, 84)(83, 91)(98, 177)(100, 125)(102, 128)(103, 178)(104, 182)(105, 133)(106, 135)(108, 136)(110, 152)(112, 187)(114, 176)(115, 151)(116, 124)(117, 137)(118, 132)(120, 160)(122, 179)(126, 189)(134, 167)(138, 153)(139, 158)(140, 145)(142, 180)(143, 174)(146, 172)(149, 162)(154, 163)(156, 168)(161, 164)(165, 183)(170, 188)(184, 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, 68 ]
192
-1 123 147 97 109
-2 123 181 119 109
-3 155 135 106 109
-4 121 135 106 175
-5 121 147 127 97
-6 155 137 117 109
-7 166 123 103 183
-8 154 133 112 106
-9 122 179 159 97
-10 121 137 117 175
-11 103 192 127 183
-12 133 112 117 184
-13 122 179 119 130
-14 121 181 127 119
-15 165 166 123 178
-16 154 134 114 106
-17 115 159 151 97
-18 187 135 105 163
-19 190 125 147 172
-20 187 191 137 105
-21 126 116 183 120
-22 132 112 160 108
-23 122 188 128 118
-24 100 146 190 147
-25 165 178 192 127
-26 134 114 117 184
-27 115 151 119 130
-28 111 125 181 172
-29 178 126 139 120
-30 132 114 108 174
-31 188 115 149 118
-32 100 111 146 181
-33 176 167 135 163
-34 176 167 191 137
-35 143 156 116 183
-36 112 145 138 160
-37 122 177 128 140
-38 189 103 158 160
-39 133 188 168 104
-40 132 102 179 170
-41 155 192 171 129
-42 165 189 124 160
-43 188 134 189 104
-44 132 170 151 162
-45 187 136 118 120
-46 110 125 161 108
-47 177 134 189 164
-48 187 140 120 153
-49 100 136 152 164
-50 145 151 162 98
-51 99 155 192 150
-52 143 156 178 139
-53 145 114 138 174
-54 177 115 149 140
-55 166 171 129 175
-56 143 176 136 118
-57 146 161 108 142
-58 133 177 168 164
-59 143 176 140 153
-60 110 125 138 182
-61 136 180 172 164
-62 145 102 179 98
-63 99 166 150 175
-64 168 103 158 174
-65 165 124 168 174
-66 100 104 152 153
-67 156 105 161 98
-68 156 170 105 182
-69 167 126 170 182
-70 146 138 182 142
-71 154 169 191 131
-72 111 101 159 173
-73 167 126 161 98
-74 110 107 129 152
-75 99 148 128 162
-76 154 101 157 191
-77 111 169 159 186
-78 180 104 172 153
-79 169 184 163 131
-80 101 190 173 130
-81 110 150 141 152
-82 180 107 129 142
-83 171 128 162 185
-84 101 157 184 163
-85 190 169 130 186
-86 99 102 148 149
-87 180 150 141 142
-88 113 124 116 173
-89 113 148 107 131
-90 144 124 116 186
-91 102 149 171 185
-92 113 158 139 173
-93 144 157 148 107
-94 113 141 185 131
-95 144 158 139 186
-96 144 157 141 185
-97 1 5 17 9
-98 67 50 62 73
-99 51 63 75 86
-100 66 24 49 32
-101 80 72 84 76
-102 91 40 62 86
-103 11 38 7 64
-104 66 78 39 43
-105 67 68 18 20
-106 3 4 16 8
-107 89 82 93 74
-108 22 46 57 30
-109 1 2 3 6
-110 46 81 60 74
-111 77 28 72 32
-112 22 12 36 8
-113 88 89 92 94
-114 26 16 30 53
-115 27 17 31 54
-116 88 35 90 21
-117 12 26 6 10
-118 23 45 56 31
-119 2 13 14 27
-120 45 48 29 21
-121 14 4 5 10
-122 23 13 37 9
-123 1 2 15 7
-124 88 90 42 65
-125 46 60 28 19
-126 69 29 73 21
-127 11 14 25 5
-128 23 37 83 75
-129 55 82 41 74
-130 13 80 27 85
-131 89 79 71 94
-132 22 44 40 30
-133 12 58 39 8
-134 47 26 16 43
-135 33 3 4 18
-136 45 56 49 61
-137 34 6 20 10
-138 36 70 60 53
-139 92 29 95 52
-140 37 48 59 54
-141 81 94 96 87
-142 57 70 82 87
-143 56 35 59 52
-144 90 93 95 96
-145 36 50 62 53
-146 24 57 70 32
-147 1 24 5 19
-148 89 93 75 86
-149 91 31 86 54
-150 81 51 63 87
-151 44 27 17 50
-152 66 81 49 74
-153 66 78 48 59
-154 16 71 8 76
-155 3 6 51 41
-156 67 35 68 52
-157 93 84 96 76
-158 92 38 95 64
-159 77 17 72 9
-160 22 36 38 42
-161 67 46 57 73
-162 44 50 83 75
-163 33 79 18 84
-164 47 58 49 61
-165 25 15 42 65
-166 55 15 7 63
-167 33 34 69 73
-168 58 39 64 65
-169 77 79 71 85
-170 44 68 69 40
-171 55 91 83 41
-172 78 28 61 19
-173 88 80 92 72
-174 30 53 64 65
-175 55 4 63 10
-176 33 34 56 59
-177 47 58 37 54
-178 25 15 29 52
-179 13 40 62 9
-180 78 82 61 87
-181 2 14 28 32
-182 68 69 70 60
-183 11 35 7 21
-184 12 79 26 84
-185 91 83 94 96
-186 77 90 95 85
-187 45 48 18 20
-188 23 39 31 43
-189 47 38 42 43
-190 24 80 19 85
-191 34 71 20 76
-192 11 25 51 41
0

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