Finite Group Databasebeta

?

← Prev (#25977484) Next (#25977486) →

#25977485

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

1690 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

727 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1050456);