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C₂₃×#1849 #15669468

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

212 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,27)(28,29,32,35,33,36,31,41)(30,37,40,42,38,43,39,34);(28,30,31,39,33,38,32,40)(29,34,35,37,36,42,41,43);(24,25,26,27)(30,38)(34,42)(37,43)(39,40)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 581);