Hi!

V is also otherwise known as the Klein-four-group(!)

We know that W is normal if

However since the elements of W are only (2)(2) circles and so are the elements of V, and by the fact that such that , we know that:

Specifically, this gives us that the circle-form of is determined solely by that of . This gives us that W is normal since the result is always a 2-2 circle and all of them are contained in the klein group.

To do the second part simply choose some other element and show that