Finite Group Databasebeta

?

← Prev (#357723) Next (#357725) →

C₂×#11066 #357724

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

Aliases

Subgroups

4182 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 264920);