[GAP Forum] request

[zohreh sayanjali]

Thanks a lot professor.

On Thu, Jul 4, 2019 at 3:00 AM <dmitrii.pasechnik at cs.ox.ac.uk> wrote:

> On Thu, Jul 04, 2019 at 01:42:54AM +0430, zohreh sayanjali wrote:
> > Dear GAP Forum,
> >  I have two groups of orders  $   2^5.3^2.5.7   $ and  $  2^4.3^2.5.7
> $. I
> > need to calculate  the number of  Sylow  7-subgroup of these groups by
> Gap.
> > I would really appreciate it if you help me to find it.
>
> One can compute the normalizer H in G (where G is one of your groups)
> of the subgroup generated by an element
> of order 7; then |G|/|H| is the number of Sylow 7-subgroups. See
> https://www.gap-system.org/Manuals/doc/ref/chap39.html#X87B5370C7DFD401D
>
> HTH
> Dima
>