Finite Group Databasebeta

?

← Prev (#6445438) Next (#6445440) →

C₂×#24327 #6445439

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

Aliases

Subgroups

3714 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6352635);