Finite Group Databasebeta

?

← Prev (#6382752) Next (#6382754) →

C₂×#23185 #6382753

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

Aliases

Subgroups

3798 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 18 points:

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

Conjugacy classes & character table

140 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6289949);