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C₂₃×#3155 #15670774

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

596 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(29,33)(31,34)(35,39)(36,40)(38,41)(42,43);(28,29,34,40,32,36,31,33)(30,35,41,43,37,42,38,39);(24,25,26,27)(28,30)(29,35)(31,38)(32,37)(33,39)(34,41)(36,42)(40,43);(30,37)(35,42)(38,41)(39,43)

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, 1887);