Finite Group Databasebeta

?

← Prev (#26111199) Next (#26111201) →

#26111200

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

474 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=f,b^2=df,c^2=g,d^2=g,e^2=gh,f^2=g,b^a=bd,c^a=ce,e^a=eg,i^a=i^46,d^b=dg,e^b=eh,f^b=fg,d^c=dh,e^c=egh,f^c=fh

Conjugacy classes & character table

914 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 64490);