Graph forms
for C4 [ 224, 5 ] = {4,4}_<18,10>
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On this page are computer-accessible forms for the graph C4[ 224, 5 ] =
{4,4}_<18,10>.
(I) Following is a form readable by MAGMA:
g:=Graph<224|{ {2, 3}, {222, 223}, {220, 221}, {218, 219}, {216, 217}, {214,
215}, {212, 213}, {210, 211}, {208, 209}, {206, 207}, {204, 205}, {202, 203},
{200, 201}, {198, 199}, {196, 197}, {194, 195}, {192, 193}, {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}, {140, 141}, {138, 139}, {136,
137}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125},
{122, 123}, {120, 121}, {118, 119}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60,
61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44,
45}, {42, 43}, {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}, {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}, {114, 115}, {116, 117}, {1, 2}, {221, 222}, {217, 218},
{213, 214}, {209, 210}, {205, 206}, {201, 202}, {197, 198}, {193, 194}, {189,
190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166},
{161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {137,
138}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {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}, {3, 4}, {219, 220}, {211, 212}, {203, 204},
{195, 196}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147,
148}, {139, 140}, {131, 132}, {123, 124}, {67, 68}, {59, 60}, {51, 52}, {43,
44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {75, 76}, {83, 84}, {91, 92}, {99,
100}, {107, 108}, {115, 116}, {7, 8}, {215, 216}, {199, 200}, {183, 184}, {167,
168}, {151, 152}, {135, 136}, {119, 120}, {55, 56}, {23, 24}, {39, 40}, {71,
72}, {87, 88}, {103, 104}, {15, 16}, {207, 208}, {175, 176}, {143, 144}, {47,
48}, {79, 80}, {111, 112}, {31, 32}, {223, 224}, {159, 160}, {95, 96}, {32,
118}, {41, 127}, {40, 126}, {33, 119}, {34, 120}, {35, 121}, {38, 124}, {39,
125}, {36, 122}, {37, 123}, {27, 113}, {30, 116}, {31, 117}, {28, 114}, {29,
115}, {1, 113}, {2, 114}, {3, 115}, {4, 116}, {5, 117}, {6, 118}, {7, 119}, {8,
120}, {9, 121}, {10, 122}, {11, 123}, {12, 124}, {13, 125}, {14, 126}, {15,
127}, {1, 112}, {63, 64}, {191, 192}, {16, 128}, {63, 175}, {62, 174}, {61,
173}, {60, 172}, {59, 171}, {58, 170}, {57, 169}, {56, 168}, {55, 167}, {54,
166}, {53, 165}, {52, 164}, {51, 163}, {50, 162}, {49, 161}, {48, 160}, {17,
129}, {18, 130}, {19, 131}, {20, 132}, {21, 133}, {22, 134}, {23, 135}, {24,
136}, {25, 137}, {26, 138}, {27, 139}, {28, 140}, {29, 141}, {30, 142}, {31,
143}, {80, 192}, {81, 193}, {82, 194}, {83, 195}, {84, 196}, {85, 197}, {86,
198}, {87, 199}, {88, 200}, {89, 201}, {90, 202}, {91, 203}, {92, 204}, {93,
205}, {94, 206}, {95, 207}, {112, 224}, {113, 224}, {42, 128}, {63, 149}, {62,
148}, {59, 145}, {58, 144}, {47, 133}, {46, 132}, {43, 129}, {106, 192}, {107,
193}, {110, 196}, {111, 197}, {44, 130}, {61, 147}, {60, 146}, {45, 131}, {108,
194}, {109, 195}, {32, 144}, {47, 159}, {46, 158}, {45, 157}, {44, 156}, {43,
155}, {42, 154}, {41, 153}, {40, 152}, {33, 145}, {34, 146}, {35, 147}, {36,
148}, {37, 149}, {38, 150}, {39, 151}, {96, 208}, {97, 209}, {98, 210}, {99,
211}, {100, 212}, {101, 213}, {102, 214}, {103, 215}, {104, 216}, {105, 217},
{106, 218}, {107, 219}, {108, 220}, {109, 221}, {110, 222}, {111, 223}, {48,
134}, {57, 143}, {56, 142}, {49, 135}, {112, 198}, {50, 136}, {55, 141}, {54,
140}, {51, 137}, {52, 138}, {53, 139}, {1, 199}, {8, 206}, {9, 207}, {16, 214},
{17, 215}, {24, 222}, {25, 223}, {2, 200}, {3, 201}, {6, 204}, {7, 205}, {18,
216}, {19, 217}, {22, 220}, {23, 221}, {4, 202}, {5, 203}, {20, 218}, {21, 219},
{64, 150}, {65, 151}, {72, 158}, {73, 159}, {96, 182}, {97, 183}, {104, 190},
{105, 191}, {10, 208}, {67, 153}, {66, 152}, {11, 209}, {14, 212}, {15, 213},
{70, 156}, {71, 157}, {98, 184}, {99, 185}, {102, 188}, {103, 189}, {12, 210},
{68, 154}, {13, 211}, {69, 155}, {100, 186}, {101, 187}, {74, 160}, {75, 161},
{78, 164}, {79, 165}, {90, 176}, {91, 177}, {94, 180}, {95, 181}, {76, 162},
{77, 163}, {92, 178}, {93, 179}, {64, 176}, {67, 179}, {66, 178}, {65, 177},
{68, 180}, {69, 181}, {70, 182}, {71, 183}, {72, 184}, {73, 185}, {74, 186},
{75, 187}, {76, 188}, {77, 189}, {78, 190}, {79, 191}, {80, 166}, {81, 167},
{88, 174}, {89, 175}, {26, 224}, {82, 168}, {83, 169}, {86, 172}, {87, 173},
{84, 170}, {85, 171}, {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: (2, 199)(3, 87)(4, 173)(5, 61)(6, 147)(7, 35)(8, 121)(10, 207)(11, 95)(12,
181)(13, 69)(14, 155)(15, 43)(16, 129)(18, 215)(19, 103)(20, 189)(21, 77)(22,
163)(23, 51)(24, 137)(26, 223)(27, 111)(28, 197)(29, 85)(30, 171)(31, 59)(32,
145)(34, 119)(36, 205)(37, 93)(38, 179)(39, 67)(40, 153)(42, 127)(44, 213)(45,
101)(46, 187)(47, 75)(48, 161)(50, 135)(52, 221)(53, 109)(54, 195)(55, 83)(56,
169)(58, 143)(60, 117)(62, 203)(63, 91)(64, 177)(66, 151)(68, 125)(70, 211)(71,
99)(72, 185)(74, 159)(76, 133)(78, 219)(79, 107)(80, 193)(82, 167)(84, 141)(86,
115)(88, 201)(90, 175)(92, 149)(94, 123)(96, 209)(98, 183)(100, 157)(102,
131)(104, 217)(106, 191)(108, 165)(110, 139)(112, 113)(114, 198)(116, 172)(118,
146)(122, 206)(124, 180)(126, 154)(130, 214)(132, 188)(134, 162)(138, 222)(140,
196)(142, 170)(148, 204)(150, 178)(156, 212)(158, 186)(164, 220)(166, 194)(174,
202)(182, 210)(190, 218) (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: (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, 193, 194, 195, 196,
197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212,
213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224)
c: (2, 113)(3, 27)(4, 139)(5, 53)(6, 165)(7, 79)(8, 191)(9, 105)(10, 217)(11,
19)(12, 131)(13, 45)(14, 157)(15, 71)(16, 183)(17, 97)(18, 209)(20, 123)(21,
37)(22, 149)(23, 63)(24, 175)(25, 89)(26, 201)(28, 115)(30, 141)(31, 55)(32,
167)(33, 81)(34, 193)(35, 107)(36, 219)(38, 133)(39, 47)(40, 159)(41, 73)(42,
185)(43, 99)(44, 211)(46, 125)(48, 151)(49, 65)(50, 177)(51, 91)(52, 203)(54,
117)(56, 143)(58, 169)(59, 83)(60, 195)(61, 109)(62, 221)(64, 135)(66, 161)(67,
75)(68, 187)(69, 101)(70, 213)(72, 127)(74, 153)(76, 179)(77, 93)(78, 205)(80,
119)(82, 145)(84, 171)(86, 197)(87, 111)(88, 223)(90, 137)(92, 163)(94, 189)(95,
103)(96, 215)(98, 129)(100, 155)(102, 181)(104, 207)(106, 121)(108, 147)(110,
173)(112, 199)(116, 140)(118, 166)(120, 192)(122, 218)(124, 132)(126, 158)(128,
184)(130, 210)(134, 150)(136, 176)(138, 202)(144, 168)(146, 194)(148, 220)(152,
160)(154, 186)(156, 212)(162, 178)(164, 204)(172, 196)(174, 222)(180, 188)(182,
214)(190, 206)(200, 224)(208, 216)
C4[ 224, 5 ]
224
-1 199 2 112 113
-2 1 200 3 114
-3 2 201 4 115
-4 3 202 5 116
-5 4 203 6 117
-6 5 204 7 118
-7 6 205 8 119
-8 7 206 9 120
-9 121 8 207 10
-10 11 122 9 208
-11 209 12 123 10
-12 11 210 13 124
-13 12 211 14 125
-14 13 212 15 126
-15 14 213 16 127
-16 15 214 17 128
-17 16 215 18 129
-18 17 216 19 130
-19 18 217 20 131
-20 132 19 218 21
-21 22 133 20 219
-22 220 23 134 21
-23 22 221 24 135
-24 23 222 25 136
-25 24 223 26 137
-26 25 224 27 138
-27 113 26 28 139
-28 114 27 29 140
-29 115 28 30 141
-30 116 29 31 142
-31 143 117 30 32
-32 33 144 118 31
-33 34 145 119 32
-34 33 35 146 120
-35 121 34 36 147
-36 122 35 37 148
-37 123 36 38 149
-38 124 37 39 150
-39 125 38 40 151
-40 126 39 41 152
-41 127 40 42 153
-42 154 128 41 43
-43 44 155 129 42
-44 45 156 130 43
-45 44 46 157 131
-46 132 45 47 158
-47 133 46 48 159
-48 134 47 49 160
-49 135 48 50 161
-50 136 49 51 162
-51 137 50 52 163
-52 138 51 53 164
-53 165 139 52 54
-54 55 166 140 53
-55 56 167 141 54
-56 55 57 168 142
-57 143 56 58 169
-58 144 57 59 170
-59 145 58 60 171
-60 146 59 61 172
-61 147 60 62 173
-62 148 61 63 174
-63 149 62 64 175
-64 176 150 63 65
-65 66 177 151 64
-66 67 178 152 65
-67 66 68 179 153
-68 154 67 69 180
-69 155 68 70 181
-70 156 69 71 182
-71 157 70 72 183
-72 158 71 73 184
-73 159 72 74 185
-74 160 73 75 186
-75 187 161 74 76
-76 77 188 162 75
-77 78 189 163 76
-78 77 79 190 164
-79 165 78 80 191
-80 166 79 81 192
-81 167 80 82 193
-82 168 81 83 194
-83 169 82 84 195
-84 170 83 85 196
-85 171 84 86 197
-86 198 172 85 87
-87 88 199 173 86
-88 89 200 174 87
-89 88 90 201 175
-90 176 89 91 202
-91 177 90 92 203
-92 178 91 93 204
-93 179 92 94 205
-94 180 93 95 206
-95 181 94 96 207
-96 182 95 97 208
-97 209 183 96 98
-98 99 210 184 97
-99 100 211 185 98
-100 99 101 212 186
-101 187 100 102 213
-102 188 101 103 214
-103 189 102 104 215
-104 190 103 105 216
-105 191 104 106 217
-106 192 105 107 218
-107 193 106 108 219
-108 220 194 107 109
-109 110 221 195 108
-110 111 222 196 109
-111 110 112 223 197
-112 198 1 111 224
-113 1 114 224 27
-114 2 113 115 28
-115 3 114 116 29
-116 4 115 117 30
-117 5 116 118 31
-118 6 117 119 32
-119 33 7 118 120
-120 121 34 8 119
-121 122 35 9 120
-122 121 123 36 10
-123 11 122 124 37
-124 12 123 125 38
-125 13 124 126 39
-126 14 125 127 40
-127 15 126 128 41
-128 16 127 129 42
-129 17 128 130 43
-130 44 18 129 131
-131 132 45 19 130
-132 133 46 20 131
-133 132 134 47 21
-134 22 133 135 48
-135 23 134 136 49
-136 24 135 137 50
-137 25 136 138 51
-138 26 137 139 52
-139 27 138 140 53
-140 28 139 141 54
-141 55 29 140 142
-142 143 56 30 141
-143 144 57 31 142
-144 143 145 58 32
-145 33 144 146 59
-146 34 145 147 60
-147 35 146 148 61
-148 36 147 149 62
-149 37 148 150 63
-150 38 149 151 64
-151 39 150 152 65
-152 66 40 151 153
-153 154 67 41 152
-154 155 68 42 153
-155 154 156 69 43
-156 44 155 157 70
-157 45 156 158 71
-158 46 157 159 72
-159 47 158 160 73
-160 48 159 161 74
-161 49 160 162 75
-162 50 161 163 76
-163 77 51 162 164
-164 165 78 52 163
-165 166 79 53 164
-166 165 167 80 54
-167 55 166 168 81
-168 56 167 169 82
-169 57 168 170 83
-170 58 169 171 84
-171 59 170 172 85
-172 60 171 173 86
-173 61 172 174 87
-174 88 62 173 175
-175 176 89 63 174
-176 177 90 64 175
-177 176 178 91 65
-178 66 177 179 92
-179 67 178 180 93
-180 68 179 181 94
-181 69 180 182 95
-182 70 181 183 96
-183 71 182 184 97
-184 72 183 185 98
-185 99 73 184 186
-186 187 100 74 185
-187 188 101 75 186
-188 187 189 102 76
-189 77 188 190 103
-190 78 189 191 104
-191 79 190 192 105
-192 80 191 193 106
-193 81 192 194 107
-194 82 193 195 108
-195 83 194 196 109
-196 110 84 195 197
-197 198 111 85 196
-198 199 112 86 197
-199 198 1 200 87
-200 88 199 2 201
-201 89 200 3 202
-202 90 201 4 203
-203 91 202 5 204
-204 92 203 6 205
-205 93 204 7 206
-206 94 205 8 207
-207 95 206 9 208
-208 209 96 207 10
-209 11 210 97 208
-210 209 12 211 98
-211 99 210 13 212
-212 100 211 14 213
-213 101 212 15 214
-214 102 213 16 215
-215 103 214 17 216
-216 104 215 18 217
-217 105 216 19 218
-218 106 217 20 219
-219 220 107 218 21
-220 22 221 108 219
-221 220 23 222 109
-222 110 221 24 223
-223 111 222 25 224
-224 112 113 223 26
0