Finite Group Databasebeta

?

← Prev (#14659341) Next (#14659343) →

#14659342

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1370 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

356 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 75137);