Finite Group Databasebeta

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#7845⋊C₃ #11709109

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

101 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3,2^8|b^2=e,c^2=f,d^2=g,e^2=h,f^2=i,b^a=cfi,c^a=bcfg,d^a=deh,e^a=fi,f^a=efi,g^a=gh,h^a=i,i^a=hi,d^b=dhi,d^c=dh

Conjugacy classes & character table

48 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 1083490);