Finite Group Databasebeta

?

← Prev (#34003162) Next (#34003164) →

#34003163

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

676 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,73|a^2=e,b^2=f,c^2=g,d^2=g,e^2=h,f^2=gh,b^a=bd,d^a=dg,f^a=fgh,i^a=i^46,d^b=dh,i^b=i^27,i^e=i^72,i^f=i^72

Conjugacy classes & character table

796 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1086747);