Finite Group Databasebeta

?

← Prev (#7627994) Next (#7627996) →

C₂×#34829 #7627995

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

Aliases

Subgroups

10270 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 22 points:

(1,2);(4,6)(7,8)(9,12)(10,11)(13,14)(15,16)(17,19)(18,20)(21,22);(8,11)(12,14)(15,17)(16,19)(18,21)(20,22);(3,4,5,6)(16,20)(17,21);(17,21)(19,22);(7,9,10,13)(8,12,11,14)

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7535191);