Finite Group Databasebeta

?

← Prev (#11755641) Next (#11755643) →

C₃×#65965 #11755642

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

584 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 20 points:

(1,2,3)(4,5,7,8,6)(10,12)(13,15)(14,17)(16,19)(18,20);(10,12)(13,14,16,18)(15,17,19,20);(9,10,11,12)(15,19)(17,20);(5,6)(7,8)(15,19)(17,20)

Conjugacy classes & character table

159 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 9837);