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C₂₃×#1377 #15668996

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 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)(28,29,30,34,31,35,37,41,32,33,36,39,38,40,42,43);(24,25,26,27)(29,33)(30,36)(35,40)(37,42)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 109);