The Carolingian Empire? Well, that was partitioned between Louis the Pious' sons into West Francia (France), Lotharingia, and East Francia (Germany). The last named continued using the title, especially after the Ottonian dynasty, and its pretensions as notional overlord of Europe. As a quasi-state, it ended after the Popes hounded the Hohenstaufen heirs of Frederick II into oblivion, and tried to set up Louis of Anjou as king in Naples.
I am not sure what you are really asking, and I have a sneaky suspicion that your idea of the Holy Roman Empire is one a bit divorced from the actual history.