Finite Group Databasebeta

?

← Prev (#35310484) Next (#35310486) →

#35310485

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

730 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,83|a^2=f,b^2=g,c^2=f,d^2=h,e^2=h,g^2=h,b^a=bd,c^a=ce,d^a=dh,e^a=eh,g^a=gh,i^a=i^82,e^c=eh

Conjugacy classes & character table

3344 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 75649);