Finite Group Databasebeta

?

← Prev (#14780945) Next (#14780947) →

#14780946

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

2018 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,11|b^2=h,c^2=h,d^2=h,e^2=h,f^2=h,b^a=be,c^a=cf,e^a=eh,f^a=fh,i^a=i^10,c^b=cg,d^b=dh,e^b=eh,f^b=fh,i^b=i^10,d^c=dh,e^c=eh,f^c=fh,i^c=i^10

Conjugacy classes & character table

332 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 196741);