Finite Group Databasebeta

?

← Prev (#6375456) Next (#6375458) →

C₂×#22034 #6375457

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

Aliases

Subgroups

3800 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)(9,13)(10,12)(11,14)(15,16,19,17,18,20,22,21);(7,9)(8,11)(10,14)(12,13)(15,17,19,20,18,21,22,16);(4,6)(9,14)(11,13);(8,12)(11,13)

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, 6282653);