Finite Group Databasebeta

?

← Prev (#6370881) Next (#6370883) →

C₂×#20702 #6370882

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

Aliases

Subgroups

5406 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6278078);