[GAP Forum] Conjugacy classes

[Thomas Breuer]

Dear GAP Forum,

Fatemeh Moftakhar asked

> I have two groups G and H of orders 2352 and 14520, resepctively. G  has
> exactly nine conjugacy classes and H has exactly 10 conjugacy classes. Is
> there any methos to construct such groups by GAP.

What about the following.

    gap> g:= PrimitiveGroup( 49, 25 );
    7^2:(Q(8)'D(2*3))
    gap> Size( g );  NrConjugacyClasses( g );
    2352
    9
    gap> h:= PrimitiveGroup( 121, 56 );
    11^2:(2.Alt(5))
    gap> Size( h );  NrConjugacyClasses( h );
    14520
    10

All the best,
Thomas