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