Finite Group Databasebeta

?

← Prev (#494571) Next (#494573) →

C₂×#13043 #494572

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

Aliases

Subgroups

2632 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 401768);