it's a lot more complicated than this. You obviously need to go into the 1950s and 1960s etc

Greek military junta of 1967-1974 - Wikipedia, the free encyclopedia

In 1947, the United States formulated the Truman Doctrine, and began to actively support a series of authoritarian governments in Greece, Turkey and Iran, in order to ensure that these states did not fall under Soviet influence.^[1] With American and British aid, the civil war ended with the military defeat of the Left in 1949. The Communist Party of Greece (KKE) was outlawed and many Communists had to either flee the country or face persecution. The CIA and the Greek military began to work closely, especially after Greece joined NATO in 1952.^{[citation needed]} Greece was a vital link in the NATO defense arc which extended from the eastern border of Iran to the north most point in Norway. Greece in particular was seen as being in risk, having experienced a Communist insurgency. In particular, the newly-founded Hellenic National Intelligence Service (KYP) and the LOK Special Forces (later actively involved in the 1967 coup) maintained a very close liaison with their American counterparts. In addition to preparing for a Soviet invasion, they agreed to guard against a left wing coup. The LOK in particular were integrated into the Gladio European stay-behind network.^[2] Although there have been persistent rumors about an active support of the perpetrators of the coup d'état by the US government there is no evidence to support such claims.^[3][4] It is however likely that the US military was informed of the coup a few days in advance by Greek liaison officers.^[5]