'Joe the Boss': (1887–1931) Boss of the Genovese Family . Charles Luciano 'Lucky': (1897–1962) Boss of the Genovese family and founder and Chairman of the Commission . Frank Costello 'Prime Minister of the Underworld': (1891–1973) Boss of the Genovese family, first served as Consigliere to Lucky Luciano. Costello had more political