Each government power to the correct brand of roman government

1. Monarchy - Julius Caesar is often associated with establishing the Roman Empire as a monarchy. However, it is important to note that this transition from a republic to a monarchy was not formally established by law during his lifetime.

2. Republic - The Roman Republic was established in 509 BCE and lasted until 27 BCE. During this period, the Roman government was centered around the Senate, which was composed of aristocrats who held the highest political power.

3. Principate - The Principate was a form of autocracy with an illusion of a republic. It was established by Augustus Caesar after the fall of the Roman Republic in 27 BCE. The word "princeps" translates to "first citizen" and was used by Augustus to present himself as the first among equals rather than a monarch.

4. Dominate - The Dominate was a more centralized form of autocracy that emerged in the late 3rd century CE and lasted until the fall of the Western Roman Empire in 476 CE. It was characterized by the concentration of power in the hands of the emperor, who held absolute authority.

Please note that the accurate classification of Roman governments can be debated by historians due to the complex and evolving nature of the Roman political system over time.