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Aliases
Splittings
Subgroups
20 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 113 points:
(1,2)(6,7,9)(8,11,16)(10,14,13)(12,18,26)(15,21,23)(17,24,20)(19,28,39)(22,31,36)(25,34,33)(27,37,30)(29,41,55)(32,44,52)(35,47,49)(38,50,46)(40,53,43)(42,57,73)(45,59,70)(48,62,67)(51,65,64)(54,68,61)(56,71,58)(60,74,87)(63,76,84)(66,79,81)(69,82,78)(72,85,75)(77,88,98)(80,90,95)(83,93,92)(86,96,89)(91,99,106)(94,101,103)(97,104,100)(102,107,111)(105,109,108)(110,112,113);(3,4)(5,6,8,12,19,29,42,55,70,84,95,103,108,107,90,62,31,11,17,25,35,48,63,77,85,53,26,36,49,64,78,89,88,59,28,40,54,69,83,94,102,104,82,50,24,9,13,20,30,43,58,57,73,87,98,106,111,113,112,101,79,47,21,7,10,15,22,32,45,60,71,39,52,67,81,92,100,99,76,44,18,27,38,51,66,80,91,96,68,37,16,23,33,46,61,75,74,41,56,72,86,97,105,110,109,93,65,34,14)
Conjugacy classes & character table
156 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1308, 12);
Finite Group Databasebeta