Finite Group Databasebeta

?

← Prev (#10574951) Next (#10574953) →

C₂×#60430 #10574952

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

Aliases

Subgroups

10690 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 22 points:

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

Conjugacy classes & character table

122 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 10482148);