Finite Group Databasebeta

?

← Prev (#34803) Next (#34805) →

C₂×#2482 #34804

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

Aliases

Subgroups

2083 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

76 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(256, 27792);