Finite Group Databasebeta

?

← Prev (#10685136) Next (#10685138) →

#10685137

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

634 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,3|a^2=e,b^2=f,c^2=h,d^2=gh,e^2=h,f^2=gh,b^a=bd,d^a=dg,f^a=fgh,i^a=i^2,e^b=eh

Conjugacy classes & character table

144 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 59518);