Finite Group Databasebeta

?

← Prev (#12008253) Next (#12008255) →

#12008254

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

974 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=g,b^2=f,c^2=f,d^2=h,b^a=bd,c^a=ce,d^a=dh,c^b=cf,d^b=dh,e^b=eh,d^c=dh,i^c=i^4

Conjugacy classes & character table

140 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 78522);