Finite Group Databasebeta

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C₉⋊SU(3,𝔽₂) #14517941

• solvable
• stem

Aliases

Splittings

Subgroups

86 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

2^3,3^5|a^2=c,b^2=c,f^3=h^2,b^a=bc,d^a=de^2g,e^a=d^2e^2g^2,f^a=f^2h,h^a=h^2,d^b=e^2,e^b=d,d^c=d^2,e^c=e^2,e^d=eg

Conjugacy classes & character table

72 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2335);