Hi. I Want some GAP program to count the number of Sylow $p$-subgroups which pairwise intersect trivially. Also I want to show that if $P$ and $Q$ are two Sylow $p$-subgroups, then the intersection of $P^x$ and $P^y$ is trivial for $x,y \in Q$. Is it possible to send me a program to count these. Thank you Best Regards