The Russian Federation is the assignee and successor of the USSR's membership in many international organizations. The largest of them are the UN, in which the Russian Federation is a permanent member, as well as the economic G8.
UN and G8
The United Nations is the guarantor of the maintenance of international peace and security. It brings together 15 Member States. Five of them - Great Britain, China, Russia, the USA and France - are permanent, and another ten - Australia, Argentina, Luxembourg, Rwanda, the Republic of Korea, Lithuania, Jordan, Nigeria, Chad and Chile - are temporary. The last group of countries changes from time to time. At different times, the list of non-permanent members of the UN Security Council included Brazil, Japan, India, Colombia, Pakistan, Italy, Canada, Germany and other countries.
The Big Eight (G8) is a semblance of an international club that brings together the UK, Germany, Italy, Canada, Russia, the USA, France and Japan. It should be noted that the G8 is not an organization, as it does not have its own charter and an approved secretariat. Usually, the countries that make up this organization do not conclude any official pacts, but only agree on a certain line of behavior in the international arena.
Unfortunately, due to recent events in Ukraine, the remaining members of this organization have suspended Russia's membership in the G8. True, temporarily, but not finally, until the resolution of the situation.