Here's the list. You can get it on http://www.harvard.edu as well, with links to the specific schools. The Faculty of Arts and Sciences covers most traditionally "academic" disciplines (English, foreign languages and literatures, biology, chemistry, physics, etc.). It comprises both the College of Arts & Sciences for the undergraduates (Bachelor's degrees) and the Graduate School of Arts and Sciences (Master and PhD degrees). There are also several graduate schools run by their own deans: Harvard Medical School, Harvard Law School, the Graduate School of Education, Harvard Business School, John F. Kennedy School of Government, Harvard Divinity School, Graduate School of Design, Harvard School of Public Health, and Harvard School of Dental Medicine. There is a Division of Continuing Education which runs, among other things, summer school programs and the Harvard Extension School (open-enrollment evening classes). The Radcliffe Institute of Advanced Study covers a variety of academic disciplines but is particularly committed to women's studies-- I'm not sure if this is technically a Harvard "faculty" though, because Radcliffe has dissociated itself from Harvard a bit in recent years.

Looking at your question, I'm wondering if you actually meant "faculties" or if you meant to ask what the "facilities" are.