Finite Group Databasebeta

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C₂₃×#2931 #15670550

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

500 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)(28,29,33,36,32,35,41,43)(30,37,39,40,38,34,42,31);(25,27)(28,30)(29,34)(31,36)(32,38)(33,39)(35,37)(40,43)(41,42);(28,31,33,37,32,40,41,34)(29,30,36,39,35,38,43,42);(29,35)(30,38)(36,43)(39,42)

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1663);