Finite Group Databasebeta

?

← Prev (#6380095) Next (#6380097) →

C₂×#22668 #6380096

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

Aliases

Subgroups

2618 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6287292);