A matriarchy.
A government ruled by a only women or a ruling class that passes through the women is called a matriartical government.
A secular government.
autocratic government
empire
A plutocracy is a government ruled by the rich.
It's called Aristocracy
It is called oligarchy.
The first Roman government was called the Roman Kingdom. According to legend, the Trojan hero Aeneas, son of Venus, fled from Troy and landed on the west coast of Italy, where he settled. His descendants ruled that part of Italy as Kings of Alba Longa, named after the city from which they ruled. Many generations later, the King of Alba Longa named Numitor had a daughter named Rhea Silvia, who became a Vestal Virgin. She soon broke her vow of chastity by having twin boys with Mars, the god of war. These boys, Romulus and Remus, were raised by a she-wolf, and founded a city on the banks of the Tiber River. Romulus then killed Remus and named the city after himself, calling it Rome. Romulus and his descendants were monarchs of the Roman Kingdom. In the Sixth Century B.C. the monarchy was abolished, and replaced with the Roman Republic, which expanded rapidly across the Mediterranean.
a monarchy
titan
A settlement that is ruled by a government in another country is called a colony. The original thirteen colonies were under the control of the British government.
It is called a parlement