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