Finite Group Databasebeta

?

← Prev (#358248) Next (#358250) →

C₂×#11286 #358249

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

Aliases

Subgroups

1762 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 265445);