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