Frank Costello is charge of the Lucky Luciano Family. Costello is, however, more interested in his own personal business than the infighting among the families. When Genovese orders a hit on Costello it is a failure. All in all the failure could also be considered a victory on Genovese's part, as Costello responded to the attempt by stepping down and allowing Genovese to step in.
The Valachi Papers