Society of Saint Pius V founded by Clarence Kelly
The Society of Saint Pius V (SSPV; Latin: Societas Sacerdotalis Sancti Pii Quinti), is a traditionalist Catholic society of priests, formed in 1983, and based in Oyster Bay Cove, New York, United States. The society broke away from the Society of Saint Pius X (SSPX) over liturgical issues. 
The SSPV regards the questions of the legitimacy of the present Catholic Church hierarchy and the possibility that the Holy See is unoccupied (sedevacantism) to be unresolved, and that the SSPV itself lacks the authority to resolve the question, but is practically sedevacantist. The society is headed by one of its co-founders, Bishop Clarence Kelly, and named after Pope Pius V, who promulgated the Tridentine Mass.