Finite Group Databasebeta

?

← Prev (#6375491) Next (#6375493) →

C₂×#22046 #6375492

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

Aliases

Subgroups

4218 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)(9,13)(10,12)(11,14)(15,16)(17,19)(18,20)(21,22);(3,5,6,4)(7,9)(8,11)(10,14)(12,13)(16,19)(20,21);(9,14)(11,13)(16,20)(18,22)(19,21);(8,12)(11,13)(16,19)(20,21)

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, 6282688);