Finite Group Databasebeta

?

← Prev (#514012) Next (#514014) →

C₂×#13848 #514013

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

Aliases

Subgroups

4986 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 421209);