Finite Group Databasebeta

?

← Prev (#6431887) Next (#6431889) →

C₂×#23499 #6431888

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

Aliases

Subgroups

4954 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6339084);