Finite Group Databasebeta

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C₃⋊#10619526 #14516730

• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

124 conjugacy classes of subgroups.

Full subgroup data →

Presentation

Polycyclic presentation:

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

Conjugacy classes & character table

132 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1124);