Finite Group Databasebeta

?

← Prev (#514702) Next (#514704) →

C₂×#14214 #514703

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

Aliases

Subgroups

4818 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 421899);