Finite Group Databasebeta

?

← Prev (#15670953) Next (#15670955) →

C₂₃×#3335 #15670954

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

388 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,28,27)(26,30,31,29)(32,33,35,38)(34,36,39,37);(24,26)(25,29)(27,30)(28,31);(24,27,28,25)(26,30,31,29)(33,36)(34,39)(37,38);(26,31)(29,30)

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, 2067);