Finite Group Databasebeta

?

← Prev (#20620) Next (#20622) →

C₂×#1795 #20621

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

Aliases

Subgroups

1973 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 18 points:

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

Conjugacy classes & character table

58 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 13609);