What are the countries included in the big five (UN security council?

China, France, Russia, the United Kingdom, and the United States.

are the groups China, France, Russia, the United Kingdom, and the United States part of the united nation?

There are 15 members of the United Nations Security Council, consisting of five veto-wielding permanent members (China, France, Russia, the United Kingdom, and the United States) and 10 elected non-permanent members with two-year terms. The permanent members are what is refereed to as the “Big Five”.

Every member of the Security Council is a member of the United Nations because the Security Council is an organ of the United Nations.

United States of America, The United Kingdom of Great Britain, The French Republic, The Russian Federation, The People’s Republic of China.