Finite Group Databasebeta

?

← Prev (#13017305) Next (#13017307) →

#13017306

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

414 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=e,b^2=f,c^2=de,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=cg,c^b=ch,d^b=dg,e^b=eg,i^b=i^2,i^f=i^4

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 1087574);