Finite Group Databasebeta

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#25005195

• supersolvable
• metabelian
• solvable
• monomial

Aliases

No aliases for this group.

Splittings

Subgroups

578 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^8,43|a^2=g,b^2=de,c^2=d,d^2=h,g^2=h,b^a=bd,c^a=ce,f^a=fh,i^a=i^42,c^b=cf,d^b=dh,e^b=eh,g^b=gh,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, 78166);