Finite Group Databasebeta

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C₂₃×#3487 #15671106

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1536 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(25,27)(29,30)(32,40)(34,36)(38,43);(28,29,33,30)(31,36,39,34)(32,35,40,37)(38,42,43,41);(24,25)(26,27)(28,30,33,29)(31,36,39,34)(32,37,40,35)(38,42,43,41);(28,31,33,39)(29,34,30,36)(32,38,40,43)(35,41,37,42);(28,32)(29,35)(30,37)(31,38)(33,40)(34,41)(36,42)(39,43)

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, 2219);