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C₂₃×#2948 #15670567

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

528 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)(30,34)(31,33)(32,35)(36,39)(37,42)(38,40)(41,43);(29,33)(31,39)(34,40)(35,36)(38,43)(41,42);(24,26,27,25)(28,30)(29,34)(31,38)(32,37)(33,40)(35,42)(36,41)(39,43);(29,35)(30,37)(33,36)(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, 1680);