Finite Group Databasebeta

?

← Prev (#203510) Next (#203512) →

C₂×#9599 #203511

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

Aliases

Subgroups

914 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 110707);