Finite Group Databasebeta

?

← Prev (#25124414) Next (#25124416) →

#25124415

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1326 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|b^2=h,c^2=e,e^2=h,b^a=be,c^a=cf,d^a=dh,e^a=eh,c^b=cg,e^b=eh,f^c=fh,g^c=gh,i^c=i^42

Conjugacy classes & character table

970 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 197386);