[GAP Forum] Help

[Bill Allombert]

On Tue, Jan 18, 2011 at 05:31:00AM -0800, Sara Radfar wrote:
> Dear GAP Forum,
> 
> Hi
> I need a code that tell me whether exist a small group $G$ such that
> the set of the number of sylow subgroup it be ${1,9,17}$.

Maybe this is an exercise or something but it seems to me that, if Np is the 
number or p-Sylow, then Np = 1 (mod p), so if Np=17 then p=2 and if Np=9 then 
also p=2, so this is not possible.

In other word, the code to solve this is:
false;

Cheers,
Bill.