Finite Group Databasebeta

?

← Prev (#353875) Next (#353877) →

C₂×#10881 #353876

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

Aliases

Subgroups

2742 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

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, 261072);