Finite Group Databasebeta

?

← Prev (#607747) Next (#607749) →

C₂×#14808 #607748

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

Aliases

Subgroups

4786 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 514944);