Finite Group Databasebeta

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#12258114

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

3102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,5|a^2=h,b^2=h,c^2=g,e^2=f,b^a=bf,c^a=cg,d^a=df,i^a=i^4,c^b=cf,i^b=i^4

Conjugacy classes & character table

200 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1280, 328382);