Finite Group Databasebeta

?

← Prev (#26185985) Next (#26185987) →

#26185986

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

660 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,47|a^2=f,c^2=f,d^2=g,e^2=g,f^2=h,b^a=be,c^a=ch,d^a=dg,e^a=eg,e^b=eg,i^b=i^46,d^c=dg,i^c=i^46,i^d=i^46

Conjugacy classes & character table

938 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 139276);