Finite Group Databasebeta

?

← Prev (#239402) Next (#239404) →

C₂×#10395 #239403

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

Aliases

Subgroups

2294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 146599);