Explanation:

All the above are correct.
EARLY BUDDHIST SCHOOLS
After passing of Buddha, The original Sangha is believed to have split into the two early schools in between 383 BC and 250 BC:
Sthavira nikaya (sub-sects included Mahisasaka, Sarvastivada, Sankrantika, Sautrantika,
Dharmaguptaka, Vatsiputriya, Dharmottariya, Bhadrayaniya, Sannagarika and Sa?mitiya)
Mahasa?ghika (sub-sects included Gokulika, Prajnaptivada, Bahusrutiya, Ekavyaharikas, Caitika)
Other sub-sects not identified under above two schools were Hemavatika, Rajagiriya, Siddhatthaka, Pubbaseliya, Aparaseliya, and Apararajagirika. Later Buddhist schools included Theravada, Mahayana, Vajrayana, etc.