Though honestly, given the timeline as it is, Cardassia really doesn't exist anymore.
The only cardassian ships left are the ones controlled by the True Way organization, which is considered a terrorist group by the Cardassian government - itself a protectorate state under the Federation..

So if there were to be a cardie faction, it would be the True Way faction. Cardassia itself is too absorbed by the Federation to make an actual standalone faction for.