Finite Group Databasebeta

?

← Prev (#14670742) Next (#14670744) →

#14670743

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

492 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

326 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 86538);