Finite Group Databasebeta

?

← Prev (#33004129) Next (#33004131) →

#33004130

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

294 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=f,b^2=fg,c^2=eh,d^2=g,e^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,g^a=gh,i^a=i^72,d^b=dg,f^b=fh,g^b=gh

Conjugacy classes & character table

2062 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 87714);