Finite Group Databasebeta

?

← Prev (#24992262) Next (#24992264) →

#24992263

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

784 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=f,b^2=dfgh,d^2=gh,f^2=h,b^a=bd,c^a=ce,d^a=dg,i^a=i^42,d^b=dh,f^b=fh,i^b=i^42

Conjugacy classes & character table

982 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 65234);