No, that's a slightly different question. The firearms are categorized by whether they are prohibited, restricted or non-restricted.
If you look at all possible combinations of firearms, you wind up with something just over 200,000 specific types. That breaks it right down to calibre, barrel length and magazine capacity.
You can also look at it from a higher level, and look at it from the standpoint of makes and models, which is the way it's organized in the schedules. That gives you a smaller number because the make and model would include many firearms that have different barrel lengths and different magazine capacities and so on. In that case, if you look at it from the standpoint of makes and models, there's something on the order of 25,000 makes and models that have been manufactured over the years.