Finite Group Databasebeta

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C₉⋊(PSU(3,𝔽₂)⋊C₃) #14519047

• solvable
• stem

Aliases

Splittings

Subgroups

94 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

3^3,2^3,3^2|b^3=c,d^2=f,e^2=f,b^a=bc,d^a=e,e^a=def,g^a=gh^2,e^d=ef,g^d=g^2h^2,h^d=g^2h,g^e=gh^2,h^e=g^2h^2,g^f=g^2,h^f=h^2

Conjugacy classes & character table

42 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3441);