Finite Group Databasebeta

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C₉⋊#6188 #14516731

• solvable

Aliases

Splittings

Subgroups

126 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

108 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1125);