Finite Group Databasebeta

?

← Prev (#26108625) Next (#26108627) →

#26108626

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

630 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

911 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 61916);