Finite Group Databasebeta

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#33982⋊C₃ #11709727

• solvable
• monolithic
• stem

Aliases

Splittings

Subgroups

127 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3,2^8|f^2=gh,g^2=hi,h^2=i,b^a=behi,c^a=cehi,d^a=e,e^a=deh,c^b=cf,f^b=fg,g^b=gh,h^b=hi,f^c=fg,g^c=gh,h^c=hi,e^d=ei

Conjugacy classes & character table

68 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(768, 1084108);