Finite Group Databasebeta

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#14909133

• supersolvable
• metabelian
• solvable
• monomial
• stem

Aliases

No aliases for this group.

Splittings

Subgroups

578 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,11|a^2=h,b^2=f,c^2=e,e^2=gh,f^2=g,g^2=h,b^a=be,c^a=cf,e^a=eg,f^a=fgh,g^a=gh,i^a=i^10,d^b=dh,i^b=i^10,d^c=dh,i^c=i^10

Conjugacy classes & character table

272 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2816, 324928);