Finite Group Databasebeta

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C₂₃×#2952 #15670571

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

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, 1684);