Finite Group Databasebeta

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#15756800

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

466 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,13|a^2=f,b^2=f,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,d^b=dg,i^b=i^12,e^c=eg

Conjugacy classes & character table

328 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 63449);