Finite Group Databasebeta

?

← Prev (#14662028) Next (#14662030) →

#14662029

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

560 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

266 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 77824);