Finite Group Databasebeta

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#8813⋊C₃ #11709136

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

101 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3,2^8|b^2=g,c^2=e,d^2=f,e^2=h,f^2=i,b^a=bcfg,c^a=defgi,d^a=cdeg,e^a=fhi,f^a=efh,g^a=gh,h^a=i,i^a=hi,c^b=ce,d^b=df,e^b=eh,f^b=fi

Conjugacy classes & character table

36 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 1083517);