Is there a "-nym" word for the members of a political party?

single-word-requests

In an answer to a previous question, I referred to "tea-partiers" as the demonym for members of the Tea Party in US politics.

But I know that's not right; demonym describes the name of the population of a physical place.

Is there a corresponding -nym or otherwise short, self-contained word for members of a political party or other abstract group?


Wikipedia says that a taxonym is:

a name used for classification or identification purposes, usually signifying a relationship to something.

Which, is about as generic as you can get, plus it has that word tax in it, so of course it fits, right?

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