Finite Group Databasebeta

?

← Prev (#607951) Next (#607953) →

C₂×#14912 #607952

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

Aliases

Subgroups

8314 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 515148);