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