Finite Group Databasebeta

?

← Prev (#192294) Next (#192296) →

C₂×#8870 #192295

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

Aliases

Subgroups

1858 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 99491);