Finite Group Databasebeta

?

← Prev (#15671046) Next (#15671048) →

C₂₃×#3428 #15671047

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1540 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(30,36)(31,35)(32,34)(33,37)(38,42)(39,41)(40,43);(28,30)(29,33)(31,38)(32,37)(34,36)(35,40)(39,43)(41,42);(30,37)(33,36)(38,43)(40,42);(29,34)(33,36)(35,41)(40,42);(28,31,32,39)(29,35,34,41)(30,38,37,43)(33,40,36,42)

Conjugacy classes & character table

1564 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2160);