Any bank in which not less than 51 percent of shares are owned by the Government are called Government banks or public sector commercial banks. All nationalized banks (19 banks, in 2017), SBI and IDBI Ltd. are public sector commercial banks. All of them are joint stock company type banks. There are corporation type banks. Each corporation type bank is established by a separate Act of Parliament and is fully owned by Government of India.
All banking companies owned by private people are called private sector commercial banks. All cooperative banks are owned by its members from the public.
1. Nationalised banks: Indian bank, IOB, etc.
2. Public sector banks: State Bank of India, IDBI Bank Ltd.
3. Private sector banks: Lakshmi Vilas Bank, Karur Vysya Bank.