Finite Group Databasebeta

?

← Prev (#24997863) Next (#24997865) →

#24997864

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

654 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=gh,b^2=gh,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^42,c^b=cf,d^b=dg,e^b=eh,d^c=dh,e^c=eh,i^c=i^42

Conjugacy classes & character table

844 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 70835);