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