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