Ah, you mean the grip/handle...
yes, there's indeed some variation, though the one in the above picture, barrel-shaped, copper -bound, and with the four longitudinal iron ribs is the most characteristic. You're going to find the same variety of handles in the Spanish Cavalry broadsword M1728 (with a hilt of the so-called "bilbo" type). Officers and special corps (like the Royal Guard) kind of "personalized" their weapons, sometimes, so you can find things like etchings in the guard or alternative handles (some I've seen, cylindrical and silver-bound with turk's heads comes to mind, for example). Not to mention much later "restorations" and ... well, "improvements".
I wonder if I answered your question or not...
Marc