Finite Group Databasebeta

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#13025752

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

426 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=e,b^2=f,c^2=e,d^2=h,e^2=g,g^2=h,b^a=bd,d^a=dh,f^a=fh,i^a=i^3,i^c=i^2,i^e=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, 1096020);