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C₂₃×#1917 #15669536

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

228 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)(26,27)(28,29)(30,33)(31,32)(34,35)(36,37,41,38,40,42,39,43);(29,32)(33,35)(36,38,41,42,40,43,39,37);(25,27)(28,30,31,34)(29,33,32,35)(36,39,40,41)(37,38,42,43)

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, 649);