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