Finite Group Databasebeta

?

← Prev (#7625333) Next (#7625335) →

C₂²×#2339 #7625334

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

27826 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 20 points:

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

Conjugacy classes & character table

200 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7532530);