Finite Group Databasebeta

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C₉⋊GU(2,𝔽₃) #11720732

• solvable

Aliases

Splittings

Subgroups

100 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^2,3^3,2^3|a^2=b,b^2=h,d^3=e^2,f^2=h,g^2=h,c^a=c^2,d^a=d^2e,e^a=e^2,f^a=gh,g^a=fh,f^c=g,g^c=fgh,g^f=gh

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(864, 699);