Finite Group Databasebeta

?

← Prev (#514165) Next (#514167) →

C₂×#13952 #514166

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

Aliases

Subgroups

4074 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 26 points:

(1,2);(4,6)(7,8,9,10)(20,21)(22,26);(12,15)(16,18)(19,20,23,21)(22,24,26,25);(3,4,5,6)(11,12)(13,16)(14,15)(17,18)(19,21,23,20)(22,25,26,24);(11,13,14,17)(12,16,15,18)(19,22)(20,24)(21,25)(23,26)

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, 421362);