Finite Group Databasebeta

?

← Prev (#353465) Next (#353467) →

C₂×#10785 #353466

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

Aliases

Subgroups

4890 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 260662);