Short answers, pulled from the story.
Vichy France officially began on the 10th of July 1940 when a joint session of the Senate and Chamber of Deputies voted 569 to 80 to grant full powers to Marshal Philippe Pétain. This vote dissolved the Third Republic and created the French State under Pétain's authority.
The national motto of Vichy France was Travail, Famille, Patrie meaning Work Family and Homeland. This phrase replaced Liberté Egalité Fraternité and stood for forced labor in perpetuity under criminal law rather than democratic values.
At least 72,500 Jews were deported from Vichy France and killed in Nazi concentration camps while about 24,000 Jews of French origin perished. Most victims were foreigners and Jewish children were prohibited from attending schools even though this measure was not implemented in metropolitan France.
Free French forces established their foundation on the 18th of June 1940 when Charles de Gaulle issued his Appeal of the 18th of June 1940 radio address. The Provisional Government of the French Republic later installed itself as the new national government after liberation began in 1944.
Britain severed diplomatic relations with Vichy France on the 8th of July 1940 following the attack on Mers-el-Kébir which killed over 1,300 French sailors. Moscow broke ties on the 30th of June 1941 after Vichy expressed support for Operation Barbarossa and Canada kept full diplomatic relations until early November 1942.