Finite Group Databasebeta

?

← Prev (#6371406) Next (#6371408) →

C₂×#20928 #6371407

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

Aliases

Subgroups

7438 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 18 points:

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6278603);