Finite Group Databasebeta

?

← Prev (#15669986) Next (#15669988) →

C₂₃×#2368 #15669987

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

548 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)(30,33)(31,32)(34,35)(36,37,40,41)(38,42,43,39);(24,26,27,25)(29,32)(33,35)(37,41)(39,42);(28,30,31,34)(29,33,32,35)(36,38)(37,39)(40,43)(41,42);(28,29)(30,33)(31,32)(34,35)(36,39)(37,38)(40,42)(41,43)

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1100);