Finite Group Databasebeta

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C₂₃×#2943 #15670562

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

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, 1675);