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C₂₃×#1778 #15669397

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

220 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)(24,25,27,26)(28,29,32,37,33,35,31,36)(30,38,40,34,41,43,39,42);(28,30,31,40,33,41,32,39)(29,34,36,43,35,42,37,38);(24,26,27,25)(29,35)(34,42)(36,37)(38,43)

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, 510);