Finite Group Databasebeta

?

← Prev (#607614) Next (#607616) →

C₂×#14713 #607615

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

Aliases

Subgroups

12090 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

176 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 514811);