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Aliases
Splittings
Subgroups
12 conjugacy classes of subgroups.
Full subgroup data →
Presentation
A minimal faithful permutation representation — 2 generators on 101 points:
(1,2,3,4)(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)(42,57,63)(45,59,70)(48,62,67)(51,65,64)(54,68,61)(56,71,58)(60,75,77)(66,79,81)(69,82,78)(72,84,76)(73,80,74)(83,90,89)(85,92,88)(86,91,87)(93,97,96)(94,98,95)(99,101,100);(5,6,8,12,19,29,42,44,18,27,38,51,66,80,55,70,57,73,86,94,99,101,92,68,37,16,23,33,46,61,76,87,79,47,21,7,10,15,22,32,45,60,59,28,40,54,69,83,91,71,39,52,67,81,89,96,100,97,82,50,24,9,13,20,30,43,58,74,62,31,11,17,25,35,48,63,77,75,41,56,72,85,93,98,84,53,26,36,49,64,78,88,95,90,65,34,14)
Conjugacy classes & character table
140 conjugacy classes — view the full character table.
Relationships
GAP
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1164, 2);
Finite Group Databasebeta