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
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