Finite Group Databasebeta

?

← Prev (#353357) Next (#353359) →

C₂×#10775 #353358

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

Aliases

Subgroups

4310 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 260554);