Finite Group Databasebeta

?

← Prev (#16945608) Next (#16945610) →

#16945609

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

306 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,17|a^2=e,b^2=f,c^2=h,d^2=gh,e^2=fgh,g^2=h,b^a=bd,d^a=df,d^b=dg,e^b=efg,g^b=gh,i^b=i^16

Conjugacy classes & character table

698 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 80853);