This is my understanding...
1. Elmwood Park crew - theoretically consists of that area, Rush Street, the rest of the North Side, and the Northern Suburbs stretching into Lake County.
2. Grand Avenue crew - theoretically consists of the area surrounding Grand and Ogden Avenues, the rest of the West Side, and the Western Suburbs stretching into DuPage County.
3.Cicero crew - also called the Melrose Park crew.
4. 26th Street/Chinatown crew - theoretically consists of that area, the rest of the South Side and Chicago Heights, the Southern Suburbs stretching into Will County, and North West Indiana.
I use the term "theoretically" because most of the Outfit's activity today is in Chicago and it's immediate surroundings within Cook County.