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