Finite Group Databasebeta

?

← Prev (#611067) Next (#611069) →

C₂×#16519 #611068

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

Aliases

Subgroups

5502 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 518264);