Rühmvõimlemise tegevust koordineerib Rahvusvaheline Rühmvõimlemise Föderatsioon (International Federation of Aesthetic Group Gymnastics), mille liige on ka EEVL.
International Federation of Aesthetic Group Gymnastics IFAGG was established on 12 October 2003 and is the recognized world governing body of aesthetic group gymnastics (AGG).
The IFAGG is a non-profit international federation, and it has been properly and legally registered as such. Its mission and purpose are strictly to advance the sport of aesthetic group gymnastics. IFAGG is the supreme authority on all matters relating to International Aesthetic Group Gymnastics.