Finite Group Databasebeta

?

← Prev (#25112562) Next (#25112564) →

#25112563

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1320 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

730 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 185534);