Finite Group Databasebeta

?

← Prev (#15669480) Next (#15669482) →

C₂₃×#1862 #15669481

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

362 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(26,27)(28,29,31,30)(32,33)(34,37)(35,38)(36,39);(25,27)(28,30,31,29)(33,37)(34,35)(38,39);(33,38)(34,35)(37,39)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 594);