Finite Group Databasebeta

?

← Prev (#353295) Next (#353297) →

C₂×#10717 #353296

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

Aliases

Subgroups

4778 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 260492);