Finite Group Databasebeta

?

← Prev (#14649796) Next (#14649798) →

#14649797

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

524 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,11|a^2=f,b^2=dfh,d^2=gh,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^10,d^b=dh,e^b=eg,f^b=fh,i^b=i^10,d^c=dg,f^c=fg

Conjugacy classes & character table

200 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 65592);