Finite Group Databasebeta

?

← Prev (#33001182) Next (#33001184) →

#33001183

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

452 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=e,b^2=f,c^2=e,d^2=h,e^2=h,b^a=bd,c^a=ch,d^a=dh,f^a=fgh,d^b=dg,g^b=gh,i^b=i^72,f^d=fh

Conjugacy classes & character table

1630 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 84767);