The four different types of imperialism are colonial, economic, political and socio-cultural. Imperialism is the policy of extending a country's power and influence through diplomacy or military force.
Colonial imperialism is when the subjugated area is completely taken over in all aspects--economic, political and social/cultural--by the stronger nation. Economic imperialism is when a stronger nation dominates the economy of a weaker nation. Political imperialism is when a puppet government is set up so that it is controlled by the stronger ruling nation. Socio-cultural imperialism is when the stronger nation systematically attempts to eradicate the customs, religion and language of the weaker nation.