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C₂₃×#2949 #15670568

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

492 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)(24,25,27,26)(28,29)(30,36)(31,39)(32,34)(33,37)(35,41)(38,43)(40,42);(28,30,32,38)(29,33,34,42)(31,40,41,37)(35,43,39,36);(24,26,27,25)(28,29)(30,33)(31,35)(32,34)(36,37)(38,42)(39,41)(40,43);(29,34)(33,42)(35,39)(36,43)

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, 1681);