Finite Group Databasebeta

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#14643622

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

648 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,11|a^2=e,b^2=f,c^2=h,d^2=gh,f^2=h,b^a=bd,d^a=dg,f^a=fgh,i^a=i^10,e^b=eh,i^b=i^10

Conjugacy classes & character table

344 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 59417);