Finite Group Databasebeta

?

← Prev (#15670299) Next (#15670301) →

C₂₃×#2681 #15670300

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

618 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)(24,25,26,27)(32,33)(34,39)(35,36)(37,38);(29,31)(32,34,37,35)(33,36,38,39);(24,25)(26,27)(28,29)(30,31)(32,35,37,34)(33,36,38,39);(24,25)(26,27)(32,36)(33,34)(35,38)(37,39)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1413);