Click "The Guide" at the top of the screen, then on the right-hand menu, put your mouse over technology (don't click it), and then several boxes will appear beside it, one being "Ships" and "Vehicles" and such. Click "Ships". Once there, at the top-ish part of the page, you see all the ships catagorized into Capital Ships, Freighters, Fighters, Unique, Rare, and CP Ships. That contains all the ships on SWC.
You can also get to the rules pages by clicking the "Rules" link on the top (it's more direct than the "The Guide" link.
I recommend reading both, the Rules pages and The Guide, since both of them will answer many of your future questions.