Show that $(123)(456)$ and $(531)(264)$ are conjugate in $A\_6$, and
show that $(12345)(678)$ and$(43786)(215)$ are not conjugate in $A\_8$.

I only found that $(123)(456)$ and $(531)(264)$ are conjugate in $S\_6$, with (25), but I can't really find something in $A\_6$ that makes them conjugate. Also don't know how to show that $(12345)(678)$ and$(43786)(215)$ are not conjugate in $A\_8$.