Finite Group Databasebeta

?

← Prev (#25113745) Next (#25113747) →

#25113746

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

1002 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

994 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 186717);