The correct order of events is the following:
1 - Abu Bakr puts down a rebellion and conquers Syria. (632-634 CE)
2 - Arab Muslims conquer Persia, Iraq, and Palestine. (637-651 CE)
3 - The Umayyas attacked India, expanded the Islamic Empire across North Africa and crossed into Spain. (711-788 CE).
4 - Abbas, a descendant of Muhammad's uncle, established the Golden Age of the Abbasid dynasty. (775-861 CE).
5 - The Islamic Empire split into smaller caliphates. (861-845 CE).
6 - The Seljuk Turks took control of the remnants of the Islamic Empire. 1037-1157).