The once powerful Otori family has been ousted after the infamous Otori Corruption Years (1946-1956) but their criminal clan might still have some old roots in the criminal underground of Karakura. There are some Otori family members still living in Karakura today, but most of them are not faction leaders and to my knowledge, no staff members are part of the Otori family. The Otori family has ties to Martial Arts and some economic connections to China (from what I heard).