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Aliases
Splittings
Subgroups
47 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 158 points:
(1,6,5,14,13,22,21,30,29,38,37,46,45,54,53,62,61,70,69,78,77,86,85,94,93,102,101,110,109,118,117,126,125,134,133,142,141,150,149,157,156,155,148,147,140,139,132,131,124,123,116,115,108,107,100,99,92,91,84,83,76,75,68,67,60,59,52,51,44,43,36,35,28,27,20,19,12,11,4,3,2,10,9,18,17,26,25,34,33,42,41,50,49,58,57,66,65,74,73,82,81,90,89,98,97,106,105,114,113,122,121,130,129,138,137,146,145,154,153,158,152,151,144,143,136,135,128,127,120,119,112,111,104,103,96,95,88,87,80,79,72,71,64,63,56,55,48,47,40,39,32,31,24,23,16,15,8,7);(1,4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100,104,108,112,116,120,124,128,132,136,140,144,148,152,156,153,149,145,141,137,133,129,125,121,117,113,109,105,101,97,93,89,85,81,77,73,69,65,61,57,53,49,45,41,37,33,29,25,21,17,13,9,5,2)(3,6,10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74,78,82,86,90,94,98,102,106,110,114,118,122,126,130,134,138,142,146,150,154,157,158,155,151,147,143,139,135,131,127,123,119,115,111,107,103,99,95,91,87,83,79,75,71,67,63,59,55,51,47,43,39,35,31,27,23,19,15,11,7)
Conjugacy classes & character table
3239 conjugacy classes. The character table is too large to display.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12482, 3);
Finite Group Databasebeta