Finite Group Databasebeta

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C₂₃×#2951 #15670570

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(30,35)(31,37)(32,36)(33,38)(34,39)(40,43)(41,42);(28,30)(29,34)(31,39)(32,41)(33,40)(35,36)(37,43)(38,42);(24,26,27,25)(28,30)(29,35)(31,41)(32,39)(33,40)(34,36)(37,42)(38,43);(28,31,33,32)(29,36,38,37)(30,39,40,41)(34,35,42,43)

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, 1683);