Finite Group Databasebeta

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C₂₃×#3284 #15670903

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

494 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)(28,29,34,31)(30,38,41,43)(32,37,33,36)(35,42,39,40);(28,30,34,41)(29,35,31,39)(32,40,33,42)(36,38,37,43);(25,27)(28,31,34,29)(30,39,41,35)(32,37,33,36)(38,40,43,42);(28,32)(29,36)(31,37)(33,34)(38,43)(40,42)

Conjugacy classes & character table

805 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2016);