Just a nitpick - “commune” normally refers to a town. (The Commune of Paris was a new city administration.) Prague might be a commune but the state would probably be called something else.
I was thinking of a decentralized government made up of administrative divisions as small as towns. I guess "United Czech Communes" or "United Communes of Czechia" could work.
As a result of being more decentralized, the Czech government was less able to implement the very egalitarian policies it intended to and the country became something between Socialism and a mixed economy. It is built around market socialism where companies are owned by the state or sometimes by the small communes, but they strive to make a profit. The companies are required by law for their decisions to be decided democratically by the employees of the company. However, in 1997 people voted to greatly liberalize the country, to the point of Social Democracy.