Finite Group Databasebeta

?

← Prev (#10574199) Next (#10574201) →

C₂×#60146 #10574200

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

Aliases

Subgroups

10674 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

176 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 10481396);