Finite Group Databasebeta

?

← Prev (#514738) Next (#514740) →

C₂×#14231 #514739

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

Aliases

Subgroups

5286 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 421935);