Finite Group Databasebeta

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C₂₃×#3009 #15670628

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

752 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)(26,27)(28,29,32,36)(30,34,37,41)(31,33,39,35)(38,40,43,42);(29,33)(31,39)(34,40)(35,36)(38,43)(41,42);(25,27)(28,30)(29,34)(31,38)(32,37)(33,40)(35,42)(36,41)(39,43);(30,37)(34,41)(38,43)(40,42)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1741);