The False Facers are a criminal organization founded by Black Mask.
After Roman Sionis, (AKA Black Mask), found he had an amazing aptitude for crime, he soon had a large gang working for him. Calling them the False Facers, the one requirement was that all members must select a mask from his collection and wear it at all times when on the job and in his presence. They were successfully gaining power in the Gotham underworld, until Black Mask decided it was time to take his revenge on Bruce Wayne. He began kidnapping Wayne Enterprises executives, putting masks on their faces that were coated in the deadly make-up once made by Janus Cosmetics. He also targeted his former girlfriend Circe and forcibly disfigured her with the chemicals in order to force her to reunite with him. Circe would ultimately kill herself, leading Black Mask to replace her with a mannequin that he talked to as if it were a real person. These kidnappings drew Batman's attention, and he began hunting down the False Facers. He slowly began to dismantle the organization until he finally found Black Mask in the ruins of the Sionis Family home. Black Mask lit the wreckage on fire trying to escape, but was caught in the burning house. Batman was able to save him, but the mask had been burned onto his face and left him disfigured.
Black Mask spent some time in Arkham Asylum, but escaped and subsequently restarted the False Facers. He took on a new second-in-command, Tattoo (whose face was covered in a tattoo mask pattern), and began burning down Wayne properties. The False Facers kidnapped Lucius Fox, CEO of Waynetech and friend of Bruce Wayne. Batman infiltrated the False Facers and was able to save Fox from Black Mask's torture, and even brought in Tattoo, but Black Mask escaped. This contributed to Batman's deteriorating confidence prior to Batman: Knightfall. Most of the False Facers were captured by Batman, but a few escaped. However, Black Mask never tried to revive the False Facers again, and the team is safe to be deemed disbanded.