Finite Group Databasebeta

?

← Prev (#608185) Next (#608187) →

C₂×#15073 #608186

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

Aliases

Subgroups

7590 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

(1,2);(7,8,9,10)(11,12,13,14)(17,21)(19,22);(4,6)(11,12)(13,14)(15,16,18,20)(17,19,21,22);(3,4,5,6)(7,8)(9,10)(11,12)(13,14);(15,17)(16,19)(18,21)(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, 515382);