Finite Group Databasebeta

?

← Prev (#35310293) Next (#35310295) →

#35310294

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

782 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

2360 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 75458);