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