Graph forms
for C4 [ 264, 10 ] = PS(22,24;7)
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On this page are computer-accessible forms for the graph C4[ 264, 10 ] =
PS(22,24;7).
(I) Following is a form readable by MAGMA:
g:=Graph<264|{ {24, 28}, {240, 244}, {120, 124}, {96, 100}, {48, 52}, {72, 76},
{144, 148}, {168, 172}, {192, 196}, {216, 220}, {16, 25}, {240, 249}, {118,
127}, {116, 125}, {114, 123}, {112, 121}, {96, 105}, {18, 27}, {20, 29}, {22,
31}, {48, 57}, {64, 73}, {66, 75}, {68, 77}, {70, 79}, {144, 153}, {160, 169},
{162, 171}, {164, 173}, {166, 175}, {192, 201}, {208, 217}, {210, 219}, {212,
221}, {214, 223}, {4, 15}, {244, 255}, {228, 239}, {224, 235}, {132, 143}, {128,
139}, {117, 126}, {113, 122}, {100, 111}, {84, 95}, {80, 91}, {17, 26}, {21,
30}, {32, 43}, {36, 47}, {52, 63}, {65, 74}, {69, 78}, {148, 159}, {161, 170},
{165, 174}, {176, 187}, {180, 191}, {196, 207}, {209, 218}, {213, 222}, {1, 13},
{243, 255}, {242, 254}, {241, 253}, {227, 239}, {226, 238}, {225, 237}, {224,
236}, {131, 143}, {130, 142}, {129, 141}, {128, 140}, {119, 123}, {118, 122},
{117, 121}, {99, 111}, {98, 110}, {97, 109}, {83, 95}, {82, 94}, {81, 93}, {80,
92}, {2, 14}, {3, 15}, {21, 25}, {22, 26}, {23, 27}, {32, 44}, {33, 45}, {34,
46}, {35, 47}, {49, 61}, {50, 62}, {51, 63}, {69, 73}, {70, 74}, {71, 75}, {145,
157}, {146, 158}, {147, 159}, {165, 169}, {166, 170}, {167, 171}, {176, 188},
{177, 189}, {178, 190}, {179, 191}, {193, 205}, {194, 206}, {195, 207}, {213,
217}, {214, 218}, {215, 219}, {3, 14}, {243, 254}, {227, 238}, {225, 236}, {131,
142}, {129, 140}, {99, 110}, {83, 94}, {81, 92}, {33, 44}, {35, 46}, {51, 62},
{147, 158}, {177, 188}, {179, 190}, {195, 206}, {2, 13}, {242, 253}, {226, 237},
{130, 141}, {115, 124}, {98, 109}, {82, 93}, {19, 28}, {34, 45}, {50, 61}, {67,
76}, {146, 157}, {163, 172}, {178, 189}, {194, 205}, {211, 220}, {13, 29}, {236,
252}, {235, 251}, {234, 250}, {233, 249}, {232, 248}, {231, 247}, {230, 246},
{229, 245}, {134, 150}, {133, 149}, {111, 127}, {110, 126}, {109, 125}, {14,
30}, {15, 31}, {37, 53}, {38, 54}, {39, 55}, {40, 56}, {41, 57}, {42, 58}, {43,
59}, {44, 60}, {64, 80}, {65, 81}, {66, 82}, {67, 83}, {68, 84}, {135, 151},
{136, 152}, {137, 153}, {138, 154}, {139, 155}, {140, 156}, {160, 176}, {161,
177}, {162, 178}, {163, 179}, {164, 180}, {205, 221}, {206, 222}, {207, 223},
{4, 16}, {228, 240}, {132, 144}, {108, 120}, {103, 115}, {102, 114}, {101, 113},
{100, 112}, {79, 91}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {36, 48}, {76, 88},
{77, 89}, {78, 90}, {172, 184}, {173, 185}, {174, 186}, {175, 187}, {196, 208},
{197, 209}, {198, 210}, {199, 211}, {204, 216}, {5, 16}, {103, 114}, {101, 112},
{7, 18}, {77, 88}, {79, 90}, {173, 184}, {175, 186}, {197, 208}, {199, 210}, {6,
17}, {239, 248}, {102, 113}, {47, 56}, {71, 80}, {78, 89}, {143, 152}, {167,
176}, {174, 185}, {198, 209}, {1, 24}, {238, 247}, {236, 245}, {234, 243}, {232,
241}, {97, 120}, {40, 49}, {42, 51}, {44, 53}, {46, 55}, {72, 81}, {136, 145},
{138, 147}, {140, 149}, {142, 151}, {168, 177}, {193, 216}, {8, 19}, {237, 246},
{233, 242}, {231, 252}, {108, 119}, {104, 115}, {12, 23}, {39, 60}, {41, 50},
{45, 54}, {76, 87}, {135, 156}, {137, 146}, {141, 150}, {172, 183}, {200, 211},
{204, 215}, {8, 20}, {239, 243}, {238, 242}, {237, 241}, {107, 119}, {106, 118},
{105, 117}, {104, 116}, {9, 21}, {10, 22}, {11, 23}, {45, 49}, {46, 50}, {47,
51}, {73, 85}, {74, 86}, {75, 87}, {141, 145}, {142, 146}, {143, 147}, {169,
181}, {170, 182}, {171, 183}, {200, 212}, {201, 213}, {202, 214}, {203, 215},
{9, 20}, {230, 251}, {134, 155}, {107, 118}, {105, 116}, {11, 22}, {38, 59},
{75, 86}, {171, 182}, {201, 212}, {203, 214}, {10, 21}, {235, 244}, {229, 250},
{133, 154}, {106, 117}, {37, 58}, {43, 52}, {74, 85}, {139, 148}, {170, 181},
{202, 213}, {25, 48}, {73, 96}, {217, 240}, {15, 36}, {159, 180}, {207, 228},
{14, 35}, {158, 179}, {206, 227}, {13, 34}, {157, 178}, {205, 226}, {16, 32},
{92, 108}, {91, 107}, {90, 106}, {89, 105}, {88, 104}, {87, 103}, {86, 102},
{85, 101}, {17, 33}, {18, 34}, {19, 35}, {20, 36}, {157, 173}, {158, 174}, {159,
175}, {208, 224}, {209, 225}, {210, 226}, {211, 227}, {212, 228}, {28, 40}, {84,
96}, {29, 41}, {30, 42}, {31, 43}, {148, 160}, {149, 161}, {150, 162}, {151,
163}, {156, 168}, {220, 232}, {221, 233}, {222, 234}, {223, 235}, {29, 40}, {31,
42}, {149, 160}, {151, 162}, {221, 232}, {223, 234}, {23, 32}, {95, 104}, {30,
41}, {150, 161}, {215, 224}, {222, 233}, {24, 33}, {94, 103}, {92, 101}, {90,
99}, {88, 97}, {145, 168}, {216, 225}, {28, 39}, {93, 102}, {89, 98}, {87, 108},
{152, 163}, {156, 167}, {220, 231}, {25, 37}, {95, 99}, {94, 98}, {93, 97}, {26,
38}, {27, 39}, {152, 164}, {153, 165}, {154, 166}, {155, 167}, {217, 229}, {218,
230}, {219, 231}, {27, 38}, {86, 107}, {153, 164}, {155, 166}, {219, 230}, {26,
37}, {91, 100}, {85, 106}, {154, 165}, {218, 229}, {169, 192}, {63, 84}, {62,
83}, {61, 82}, {61, 77}, {62, 78}, {63, 79}, {181, 197}, {182, 198}, {183, 199},
{184, 200}, {185, 201}, {186, 202}, {187, 203}, {188, 204}, {52, 64}, {53, 65},
{54, 66}, {55, 67}, {60, 72}, {180, 192}, {53, 64}, {55, 66}, {54, 65}, {191,
200}, {49, 72}, {184, 193}, {186, 195}, {188, 197}, {190, 199}, {56, 67}, {60,
71}, {183, 204}, {185, 194}, {189, 198}, {56, 68}, {57, 69}, {58, 70}, {59, 71},
{189, 193}, {190, 194}, {191, 195}, {57, 68}, {59, 70}, {182, 203}, {58, 69},
{181, 202}, {187, 196}, {121, 144}, {111, 132}, {110, 131}, {109, 130}, {112,
128}, {116, 132}, {115, 131}, {114, 130}, {113, 129}, {12, 255}, {124, 136},
{127, 139}, {126, 138}, {125, 137}, {11, 254}, {127, 138}, {125, 136}, {10,
253}, {126, 137}, {119, 128}, {5, 253}, {6, 254}, {7, 255}, {120, 129}, {124,
135}, {121, 133}, {123, 135}, {122, 134}, {123, 134}, {122, 133}, {1, 256}, {3,
258}, {5, 260}, {7, 262}, {9, 264}, {2, 257}, {6, 261}, {1, 261}, {2, 262}, {3,
263}, {4, 259}, {8, 256}, {9, 257}, {10, 258}, {11, 259}, {12, 260}, {4, 264},
{8, 263}, {244, 256}, {252, 264}, {247, 259}, {246, 258}, {245, 257}, {245,
256}, {247, 258}, {246, 257}, {241, 264}, {248, 259}, {252, 263}, {248, 260},
{251, 263}, {250, 262}, {249, 261}, {249, 260}, {251, 262}, {250, 261} }>;
(II) A more general form is to represent the graph as the orbit of {24, 28}
under the group generated by the following permutations:
a: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(13, 24)(14, 23)(15, 22)(16, 21)(17, 20)(18,
19)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)(37, 48)(38, 47)(39, 46)(40, 45)(41,
44)(42, 43)(50, 60)(51, 59)(52, 58)(53, 57)(54, 56)(61, 72)(62, 71)(63, 70)(64,
69)(65, 68)(66, 67)(74, 84)(75, 83)(76, 82)(77, 81)(78, 80)(85, 96)(86, 95)(87,
94)(88, 93)(89, 92)(90, 91)(98, 108)(99, 107)(100, 106)(101, 105)(102, 104)(109,
120)(110, 119)(111, 118)(112, 117)(113, 116)(114, 115)(122, 132)(123, 131)(124,
130)(125, 129)(126, 128)(133, 144)(134, 143)(135, 142)(136, 141)(137, 140)(138,
139)(146, 156)(147, 155)(148, 154)(149, 153)(150, 152)(157, 168)(158, 167)(159,
166)(160, 165)(161, 164)(162, 163)(170, 180)(171, 179)(172, 178)(173, 177)(174,
176)(181, 192)(182, 191)(183, 190)(184, 189)(185, 188)(186, 187)(194, 204)(195,
203)(196, 202)(197, 201)(198, 200)(205, 216)(206, 215)(207, 214)(208, 213)(209,
212)(210, 211)(218, 228)(219, 227)(220, 226)(221, 225)(222, 224)(229, 240)(230,
239)(231, 238)(232, 237)(233, 236)(234, 235)(242, 252)(243, 251)(244, 250)(245,
249)(246, 248)(253, 264)(254, 263)(255, 262)(256, 261)(257, 260)(258, 259) (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, 13, 2, 14, 3, 15, 4, 16, 5, 17, 6, 18, 7, 19, 8, 20, 9, 21, 10, 22, 11,
23, 12, 24)(25, 253, 26, 254, 27, 255, 28, 256, 29, 257, 30, 258, 31, 259, 32,
260, 33, 261, 34, 262, 35, 263, 36, 264)(37, 242, 38, 243, 39, 244, 40, 245, 41,
246, 42, 247, 43, 248, 44, 249, 45, 250, 46, 251, 47, 252, 48, 241)(49, 229, 50,
230, 51, 231, 52, 232, 53, 233, 54, 234, 55, 235, 56, 236, 57, 237, 58, 238, 59,
239, 60, 240)(61, 218, 62, 219, 63, 220, 64, 221, 65, 222, 66, 223, 67, 224, 68,
225, 69, 226, 70, 227, 71, 228, 72, 217)(73, 205, 74, 206, 75, 207, 76, 208, 77,
209, 78, 210, 79, 211, 80, 212, 81, 213, 82, 214, 83, 215, 84, 216)(85, 194, 86,
195, 87, 196, 88, 197, 89, 198, 90, 199, 91, 200, 92, 201, 93, 202, 94, 203, 95,
204, 96, 193)(97, 181, 98, 182, 99, 183, 100, 184, 101, 185, 102, 186, 103, 187,
104, 188, 105, 189, 106, 190, 107, 191, 108, 192)(109, 170, 110, 171, 111, 172,
112, 173, 113, 174, 114, 175, 115, 176, 116, 177, 117, 178, 118, 179, 119, 180,
120, 169)(121, 157, 122, 158, 123, 159, 124, 160, 125, 161, 126, 162, 127, 163,
128, 164, 129, 165, 130, 166, 131, 167, 132, 168)(133, 146, 134, 147, 135, 148,
136, 149, 137, 150, 138, 151, 139, 152, 140, 153, 141, 154, 142, 155, 143, 156,
144, 145)
c: (2, 8)(4, 10)(6, 12)(13, 256)(14, 263)(15, 258)(16, 253)(17, 260)(18,
255)(19, 262)(20, 257)(21, 264)(22, 259)(23, 254)(24, 261)(25, 241)(26, 248)(27,
243)(28, 250)(29, 245)(30, 252)(31, 247)(32, 242)(33, 249)(34, 244)(35, 251)(36,
246)(37, 232)(38, 239)(39, 234)(40, 229)(41, 236)(42, 231)(43, 238)(44, 233)(45,
240)(46, 235)(47, 230)(48, 237)(49, 217)(50, 224)(51, 219)(52, 226)(53, 221)(54,
228)(55, 223)(56, 218)(57, 225)(58, 220)(59, 227)(60, 222)(61, 208)(62, 215)(63,
210)(64, 205)(65, 212)(66, 207)(67, 214)(68, 209)(69, 216)(70, 211)(71, 206)(72,
213)(73, 193)(74, 200)(75, 195)(76, 202)(77, 197)(78, 204)(79, 199)(80, 194)(81,
201)(82, 196)(83, 203)(84, 198)(85, 184)(86, 191)(87, 186)(88, 181)(89, 188)(90,
183)(91, 190)(92, 185)(93, 192)(94, 187)(95, 182)(96, 189)(97, 169)(98, 176)(99,
171)(100, 178)(101, 173)(102, 180)(103, 175)(104, 170)(105, 177)(106, 172)(107,
179)(108, 174)(109, 160)(110, 167)(111, 162)(112, 157)(113, 164)(114, 159)(115,
166)(116, 161)(117, 168)(118, 163)(119, 158)(120, 165)(121, 145)(122, 152)(123,
147)(124, 154)(125, 149)(126, 156)(127, 151)(128, 146)(129, 153)(130, 148)(131,
155)(132, 150)(133, 136)(134, 143)(135, 138)(137, 140)(139, 142)(141, 144)
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, 225, 226, 227,
228)(229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240)(241, 242, 243,
244, 245, 246, 247, 248, 249, 250, 251, 252)(253, 254, 255, 256, 257, 258, 259,
260, 261, 262, 263, 264)
C4[ 264, 10 ]
264
-1 13 24 256 261
-2 13 14 257 262
-3 14 15 258 263
-4 264 15 16 259
-5 253 16 17 260
-6 254 17 18 261
-7 255 18 19 262
-8 256 19 20 263
-9 264 257 20 21
-10 22 253 258 21
-11 22 23 254 259
-12 23 24 255 260
-13 1 34 2 29
-14 2 35 3 30
-15 3 36 4 31
-16 25 4 5 32
-17 33 26 5 6
-18 34 27 6 7
-19 35 28 7 8
-20 36 29 8 9
-21 25 30 9 10
-22 11 26 31 10
-23 11 12 27 32
-24 33 1 12 28
-25 37 48 16 21
-26 22 37 38 17
-27 23 38 39 18
-28 24 39 40 19
-29 13 40 41 20
-30 14 41 42 21
-31 22 15 42 43
-32 44 23 16 43
-33 44 45 24 17
-34 45 13 46 18
-35 46 14 47 19
-36 47 15 48 20
-37 25 58 26 53
-38 26 59 27 54
-39 55 27 60 28
-40 56 49 28 29
-41 57 50 29 30
-42 58 51 30 31
-43 59 52 31 32
-44 33 60 53 32
-45 33 34 49 54
-46 55 34 35 50
-47 56 35 36 51
-48 57 25 36 52
-49 45 61 72 40
-50 46 61 62 41
-51 47 62 63 42
-52 48 63 64 43
-53 44 37 64 65
-54 66 45 38 65
-55 66 67 46 39
-56 67 68 47 40
-57 68 69 48 41
-58 69 37 70 42
-59 70 38 71 43
-60 44 71 39 72
-61 77 49 82 50
-62 78 50 83 51
-63 79 51 84 52
-64 80 73 52 53
-65 81 74 53 54
-66 55 82 75 54
-67 55 56 83 76
-68 77 56 57 84
-69 78 57 58 73
-70 79 58 59 74
-71 80 59 60 75
-72 81 49 60 76
-73 69 85 96 64
-74 70 85 86 65
-75 66 71 86 87
-76 88 67 72 87
-77 88 89 68 61
-78 89 90 69 62
-79 90 91 70 63
-80 91 92 71 64
-81 92 93 72 65
-82 66 93 61 94
-83 67 94 62 95
-84 68 95 63 96
-85 101 73 106 74
-86 102 74 107 75
-87 103 75 108 76
-88 77 104 97 76
-89 77 78 105 98
-90 99 78 79 106
-91 100 79 80 107
-92 101 80 81 108
-93 102 81 82 97
-94 103 82 83 98
-95 99 104 83 84
-96 100 105 73 84
-97 88 93 109 120
-98 110 89 94 109
-99 110 111 90 95
-100 111 112 91 96
-101 112 113 92 85
-102 113 114 93 86
-103 114 115 94 87
-104 88 115 116 95
-105 89 116 117 96
-106 90 117 85 118
-107 91 118 86 119
-108 92 119 87 120
-109 125 97 130 98
-110 99 126 98 131
-111 99 132 100 127
-112 121 100 101 128
-113 122 101 102 129
-114 123 102 103 130
-115 124 103 104 131
-116 132 125 104 105
-117 121 126 105 106
-118 122 127 106 107
-119 123 128 107 108
-120 124 129 97 108
-121 133 144 112 117
-122 133 134 113 118
-123 134 135 114 119
-124 135 136 115 120
-125 136 137 116 109
-126 110 137 138 117
-127 111 138 139 118
-128 112 139 140 119
-129 113 140 141 120
-130 114 141 109 142
-131 110 143 115 142
-132 143 111 144 116
-133 121 154 122 149
-134 122 155 123 150
-135 123 156 124 151
-136 145 124 125 152
-137 146 125 126 153
-138 154 147 126 127
-139 155 148 127 128
-140 156 149 128 129
-141 145 150 129 130
-142 146 151 130 131
-143 132 147 152 131
-144 121 132 148 153
-145 157 168 136 141
-146 157 158 137 142
-147 143 158 159 138
-148 144 159 160 139
-149 133 160 161 140
-150 134 161 162 141
-151 135 162 163 142
-152 143 136 163 164
-153 165 144 137 164
-154 165 133 166 138
-155 166 134 167 139
-156 167 135 168 140
-157 145 178 146 173
-158 146 179 147 174
-159 147 180 148 175
-160 176 169 148 149
-161 177 170 149 150
-162 178 171 150 151
-163 179 172 151 152
-164 180 173 152 153
-165 154 169 174 153
-166 154 155 170 175
-167 176 155 156 171
-168 177 145 156 172
-169 165 181 192 160
-170 166 181 182 161
-171 167 182 183 162
-172 168 183 184 163
-173 157 184 185 164
-174 165 158 185 186
-175 187 166 159 186
-176 187 188 167 160
-177 188 189 168 161
-178 189 157 190 162
-179 190 158 191 163
-180 191 159 192 164
-181 169 202 170 197
-182 198 170 203 171
-183 199 171 204 172
-184 200 193 172 173
-185 201 194 173 174
-186 202 195 174 175
-187 176 203 196 175
-188 176 177 204 197
-189 198 177 178 193
-190 199 178 179 194
-191 200 179 180 195
-192 201 169 180 196
-193 189 205 216 184
-194 190 205 206 185
-195 191 206 207 186
-196 187 192 207 208
-197 209 188 181 208
-198 209 210 189 182
-199 210 211 190 183
-200 211 212 191 184
-201 212 213 192 185
-202 213 181 214 186
-203 187 214 182 215
-204 188 215 183 216
-205 221 193 226 194
-206 222 194 227 195
-207 223 195 228 196
-208 224 217 196 197
-209 198 225 218 197
-210 198 199 226 219
-211 220 199 200 227
-212 221 200 201 228
-213 222 201 202 217
-214 223 202 203 218
-215 224 203 204 219
-216 220 225 193 204
-217 213 229 240 208
-218 209 214 229 230
-219 231 210 215 230
-220 231 232 211 216
-221 232 233 212 205
-222 233 234 213 206
-223 234 235 214 207
-224 235 236 215 208
-225 209 236 237 216
-226 210 237 205 238
-227 211 238 206 239
-228 212 239 207 240
-229 245 217 250 218
-230 246 218 251 219
-231 220 247 219 252
-232 220 221 248 241
-233 242 221 222 249
-234 243 222 223 250
-235 244 223 224 251
-236 245 224 225 252
-237 246 225 226 241
-238 242 247 226 227
-239 243 248 227 228
-240 244 249 217 228
-241 253 264 232 237
-242 253 254 233 238
-243 254 255 234 239
-244 255 256 235 240
-245 256 257 236 229
-246 257 258 237 230
-247 231 258 259 238
-248 232 259 260 239
-249 233 260 261 240
-250 234 261 229 262
-251 235 262 230 263
-252 231 264 236 263
-253 242 5 10 241
-254 11 242 243 6
-255 12 243 244 7
-256 1 244 245 8
-257 2 245 246 9
-258 3 246 247 10
-259 11 4 247 248
-260 12 5 248 249
-261 1 6 249 250
-262 2 7 250 251
-263 3 8 251 252
-264 4 9 241 252
0