Graph forms
for C4 [ 192, 6 ] = {4,4}_[16,6]
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On this page are computer-accessible forms for the graph C4[ 192, 6 ] =
{4,4}_[16,6].
(I) Following is a form readable by MAGMA:
g:=Graph<192|{ {2, 3}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182,
183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171},
{168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156,
157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145},
{142, 143}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52,
53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {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},
{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}, {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}, {1, 2}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173,
174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150},
{145, 146}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41,
42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33,
34}, {37, 38}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93,
94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121,
122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {141, 142}, {3, 4}, {187,
188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {59, 60}, {51,
52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {67, 68}, {75, 76}, {83,
84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {139,
140}, {7, 8}, {183, 184}, {167, 168}, {151, 152}, {55, 56}, {39, 40}, {23, 24},
{71, 72}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {175, 176},
{143, 144}, {47, 48}, {79, 80}, {111, 112}, {64, 98}, {65, 99}, {68, 102}, {69,
103}, {72, 106}, {73, 107}, {76, 110}, {77, 111}, {80, 114}, {81, 115}, {84,
118}, {85, 119}, {88, 122}, {89, 123}, {92, 126}, {93, 127}, {66, 100}, {67,
101}, {74, 108}, {75, 109}, {82, 116}, {83, 117}, {90, 124}, {91, 125}, {70,
104}, {71, 105}, {86, 120}, {87, 121}, {78, 112}, {79, 113}, {31, 32}, {159,
160}, {95, 96}, {63, 97}, {1, 97}, {2, 98}, {3, 99}, {4, 100}, {5, 101}, {6,
102}, {7, 103}, {8, 104}, {9, 105}, {10, 106}, {11, 107}, {12, 108}, {13, 109},
{14, 110}, {15, 111}, {16, 112}, {17, 113}, {18, 114}, {19, 115}, {20, 116},
{21, 117}, {22, 118}, {23, 119}, {24, 120}, {25, 121}, {26, 122}, {27, 123},
{28, 124}, {29, 125}, {30, 126}, {31, 127}, {1, 96}, {63, 64}, {191, 192}, {1,
131}, {61, 191}, {60, 190}, {57, 187}, {56, 186}, {53, 183}, {52, 182}, {49,
179}, {48, 178}, {45, 175}, {44, 174}, {41, 171}, {40, 170}, {4, 134}, {5, 135},
{8, 138}, {9, 139}, {12, 142}, {13, 143}, {16, 146}, {17, 147}, {20, 150}, {21,
151}, {24, 154}, {25, 155}, {28, 158}, {29, 159}, {32, 162}, {33, 163}, {36,
166}, {37, 167}, {2, 132}, {59, 189}, {58, 188}, {51, 181}, {50, 180}, {43,
173}, {42, 172}, {3, 133}, {10, 140}, {11, 141}, {18, 148}, {19, 149}, {26,
156}, {27, 157}, {34, 164}, {35, 165}, {6, 136}, {55, 185}, {54, 184}, {39,
169}, {38, 168}, {7, 137}, {22, 152}, {23, 153}, {14, 144}, {47, 177}, {46,
176}, {15, 145}, {32, 128}, {63, 159}, {62, 158}, {61, 157}, {60, 156}, {59,
155}, {58, 154}, {57, 153}, {56, 152}, {55, 151}, {54, 150}, {53, 149}, {52,
148}, {51, 147}, {50, 146}, {49, 145}, {48, 144}, {47, 143}, {46, 142}, {45,
141}, {44, 140}, {43, 139}, {42, 138}, {41, 137}, {40, 136}, {39, 135}, {38,
134}, {33, 129}, {34, 130}, {35, 131}, {36, 132}, {37, 133}, {96, 192}, {97,
192}, {30, 160}, {31, 161}, {94, 128}, {95, 129}, {64, 160}, {65, 161}, {66,
162}, {67, 163}, {68, 164}, {69, 165}, {70, 166}, {71, 167}, {72, 168}, {73,
169}, {74, 170}, {75, 171}, {76, 172}, {77, 173}, {78, 174}, {79, 175}, {80,
176}, {81, 177}, {82, 178}, {83, 179}, {84, 180}, {85, 181}, {86, 182}, {87,
183}, {88, 184}, {89, 185}, {90, 186}, {91, 187}, {92, 188}, {93, 189}, {94,
190}, {95, 191}, {96, 130}, {62, 192}, {127, 128} }>;
(II) A more general form is to represent the graph as the orbit of {2, 3}
under the group generated by the following permutations:
a: (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.
**************
&Graph **************
b: (2, 131)(3, 35)(4, 165)(5, 69)(6, 103)(8, 137)(9, 41)(10, 171)(11, 75)(12,
109)(14, 143)(15, 47)(16, 177)(17, 81)(18, 115)(20, 149)(21, 53)(22, 183)(23,
87)(24, 121)(26, 155)(27, 59)(28, 189)(29, 93)(30, 127)(32, 161)(33, 65)(34,
99)(36, 133)(38, 167)(39, 71)(40, 105)(42, 139)(44, 173)(45, 77)(46, 111)(48,
145)(50, 179)(51, 83)(52, 117)(54, 151)(56, 185)(57, 89)(58, 123)(60, 157)(62,
191)(63, 95)(64, 129)(66, 163)(68, 101)(70, 135)(72, 169)(74, 107)(76, 141)(78,
175)(80, 113)(82, 147)(84, 181)(86, 119)(88, 153)(90, 187)(92, 125)(94, 159)(96,
97)(98, 130)(100, 164)(104, 136)(106, 170)(110, 142)(112, 176)(116, 148)(118,
182)(122, 154)(124, 188)(128, 160)(134, 166)(140, 172)(146, 178)(152, 184)(158,
190)
c: (2, 96)(3, 95)(4, 94)(5, 93)(6, 92)(7, 91)(8, 90)(9, 89)(10, 88)(11, 87)(12,
86)(13, 85)(14, 84)(15, 83)(16, 82)(17, 81)(18, 80)(19, 79)(20, 78)(21, 77)(22,
76)(23, 75)(24, 74)(25, 73)(26, 72)(27, 71)(28, 70)(29, 69)(30, 68)(31, 67)(32,
66)(33, 65)(34, 64)(35, 63)(36, 62)(37, 61)(38, 60)(39, 59)(40, 58)(41, 57)(42,
56)(43, 55)(44, 54)(45, 53)(46, 52)(47, 51)(48, 50)(97, 131)(98, 130)(99,
129)(100, 128)(101, 127)(102, 126)(103, 125)(104, 124)(105, 123)(106, 122)(107,
121)(108, 120)(109, 119)(110, 118)(111, 117)(112, 116)(113, 115)(132, 192)(133,
191)(134, 190)(135, 189)(136, 188)(137, 187)(138, 186)(139, 185)(140, 184)(141,
183)(142, 182)(143, 181)(144, 180)(145, 179)(146, 178)(147, 177)(148, 176)(149,
175)(150, 174)(151, 173)(152, 172)(153, 171)(154, 170)(155, 169)(156, 168)(157,
167)(158, 166)(159, 165)(160, 164)(161, 163)
C4[ 192, 6 ]
192
-1 2 96 97 131
-2 132 1 3 98
-3 99 133 2 4
-4 100 134 3 5
-5 101 135 4 6
-6 102 136 5 7
-7 103 137 6 8
-8 104 138 7 9
-9 105 139 8 10
-10 11 106 140 9
-11 12 107 141 10
-12 11 13 108 142
-13 143 12 14 109
-14 110 144 13 15
-15 111 145 14 16
-16 112 146 15 17
-17 113 147 16 18
-18 114 148 17 19
-19 115 149 18 20
-20 116 150 19 21
-21 22 117 151 20
-22 23 118 152 21
-23 22 24 119 153
-24 154 23 25 120
-25 121 155 24 26
-26 122 156 25 27
-27 123 157 26 28
-28 124 158 27 29
-29 125 159 28 30
-30 126 160 29 31
-31 127 161 30 32
-32 33 128 162 31
-33 34 129 163 32
-34 33 35 130 164
-35 165 34 36 131
-36 132 166 35 37
-37 133 167 36 38
-38 134 168 37 39
-39 135 169 38 40
-40 136 170 39 41
-41 137 171 40 42
-42 138 172 41 43
-43 44 139 173 42
-44 45 140 174 43
-45 44 46 141 175
-46 176 45 47 142
-47 143 177 46 48
-48 144 178 47 49
-49 145 179 48 50
-50 146 180 49 51
-51 147 181 50 52
-52 148 182 51 53
-53 149 183 52 54
-54 55 150 184 53
-55 56 151 185 54
-56 55 57 152 186
-57 187 56 58 153
-58 154 188 57 59
-59 155 189 58 60
-60 156 190 59 61
-61 157 191 60 62
-62 158 192 61 63
-63 159 62 64 97
-64 160 63 65 98
-65 66 99 161 64
-66 67 100 162 65
-67 66 68 101 163
-68 67 69 102 164
-69 165 68 70 103
-70 166 69 71 104
-71 167 70 72 105
-72 168 71 73 106
-73 169 72 74 107
-74 170 73 75 108
-75 171 74 76 109
-76 77 110 172 75
-77 78 111 173 76
-78 77 79 112 174
-79 78 80 113 175
-80 176 79 81 114
-81 177 80 82 115
-82 178 81 83 116
-83 179 82 84 117
-84 180 83 85 118
-85 181 84 86 119
-86 182 85 87 120
-87 88 121 183 86
-88 89 122 184 87
-89 88 90 123 185
-90 89 91 124 186
-91 187 90 92 125
-92 188 91 93 126
-93 189 92 94 127
-94 190 93 95 128
-95 191 94 96 129
-96 1 192 95 130
-97 1 192 63 98
-98 99 2 64 97
-99 100 3 65 98
-100 66 99 101 4
-101 67 100 102 5
-102 68 101 103 6
-103 69 102 104 7
-104 70 103 105 8
-105 71 104 106 9
-106 72 105 107 10
-107 11 73 106 108
-108 12 74 107 109
-109 110 13 75 108
-110 111 14 76 109
-111 77 110 112 15
-112 78 111 113 16
-113 79 112 114 17
-114 80 113 115 18
-115 81 114 116 19
-116 82 115 117 20
-117 83 116 118 21
-118 22 84 117 119
-119 23 85 118 120
-120 121 24 86 119
-121 122 25 87 120
-122 88 121 123 26
-123 89 122 124 27
-124 90 123 125 28
-125 91 124 126 29
-126 92 125 127 30
-127 93 126 128 31
-128 94 127 129 32
-129 33 95 128 130
-130 34 96 129 131
-131 132 1 35 130
-132 133 2 36 131
-133 132 134 3 37
-134 133 135 4 38
-135 134 136 5 39
-136 135 137 6 40
-137 136 138 7 41
-138 137 139 8 42
-139 138 140 9 43
-140 44 139 141 10
-141 11 45 140 142
-142 143 12 46 141
-143 144 13 47 142
-144 143 145 14 48
-145 144 146 15 49
-146 145 147 16 50
-147 146 148 17 51
-148 147 149 18 52
-149 148 150 19 53
-150 149 151 20 54
-151 55 150 152 21
-152 22 56 151 153
-153 154 23 57 152
-154 155 24 58 153
-155 154 156 25 59
-156 155 157 26 60
-157 156 158 27 61
-158 157 159 28 62
-159 158 160 29 63
-160 159 161 30 64
-161 160 162 31 65
-162 66 161 163 32
-163 33 67 162 164
-164 165 34 68 163
-165 166 35 69 164
-166 165 167 36 70
-167 166 168 37 71
-168 167 169 38 72
-169 168 170 39 73
-170 169 171 40 74
-171 170 172 41 75
-172 171 173 42 76
-173 77 172 174 43
-174 44 78 173 175
-175 176 45 79 174
-176 177 46 80 175
-177 176 178 47 81
-178 177 179 48 82
-179 178 180 49 83
-180 179 181 50 84
-181 180 182 51 85
-182 181 183 52 86
-183 182 184 53 87
-184 88 183 185 54
-185 55 89 184 186
-186 187 56 90 185
-187 188 57 91 186
-188 187 189 58 92
-189 188 190 59 93
-190 189 191 60 94
-191 190 192 61 95
-192 191 62 96 97
0