Finite Group Databasebeta

?

← Prev (#64281) Next (#64283) →

C₂×#3788 #64282

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

122 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 16 points:

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

Conjugacy classes & character table

36 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(288, 930);