Finite Group Databasebeta

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#25003647

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

870 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=g,b^2=d,e^2=h,f^2=h,g^2=h,b^a=bd,c^a=ce,e^a=eh,i^a=i^42,c^b=cf,f^b=fh,e^c=eh,f^c=fh

Conjugacy classes & character table

976 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 76618);