what is the rhetorical figure of speech equivalent to eponym or alliteration or metaphor for when you have used a name for one class of objects (yes, technically a centaur is sentient but think of it in the way human or chair is a class of object) as the given name for a wholly different group of objects.

Well, it's not alliteration or metaphor. Centaurus was not a centaur. He was human or divine. He mated with some mares and that's where centaurs came from, or at least that is the myth preserved for us in classical literature. Sounds like a plain old eponym. Centaurs are also called Ixcionides, i.e., the sons of Ixion. His story (link) is complicated, but he was human or semi-divine, being the offspring of Zeus. As implied below, genericization comes close, but is a modern term. Do you have any other wexample than centaurs, which I believe is a flawed one?

Many origin myths (of groups of people or other kinds of beings) merely postulate a forefather whose name is a back-formation from the group name, e.g., Geoffrey of Monmouth writes that the origin of the Britons is from a Trojan Brutus, who left Asia with Aeneas (the latter having founded Rome), and finally ended up in Britannia. Another example is Romulus who founded Rome with his twin brother Remus.


Ceci n'est pas un seing.