Finite Group Databasebeta

?

← Prev (#493574) Next (#493576) →

C₂×#12761 #493575

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

Aliases

Subgroups

3068 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 400771);