The Prime Minister of Greece leads the government, which is composed of ministers who head various governmental departments. The Prime Minister and the Cabinet are responsible for implementing laws and managing the day-to-day affairs of the country. The Cabinet must maintain the confidence of the Hellenic Parliament, and a vote of no-confidence can trigger the fall of the government and call for new elections.

The Hellenic Parliament has the authority to pass laws, approve the budget, and ratify treaties and agreements. It can also declare war, grant amnesty, and revise or amend the constitution. 

A unique aspect of the Greek political system is the practice of “Proportional Representation”, which means that the number of parliamentary seats a party gets is based on the proportion of votes it receives.

In terms of the judiciary, Greek courts are divided into civil and criminal courts. The highest civil court is the Areios Pagos, while the highest criminal court is the Court of Appeals. The judicial system also includes administrative courts, which address disputes between the citizens and the Greek administrative authorities. The Special Supreme Tribunal is another unique feature of the Greek judiciary; this court deals with disputes regarding the constitutionality of laws and is the final arbiter in disputes about elections and referenda.