Mainstream academic literature and media use the word ‘Islam’ or ‘Muslim’ in a monolithic manner that implies internal homogeneity. However, the Islamic faith is subject to multiple interpretations, with multiple types of Muslims who practice Islam based on their ideological interpretations, sect, ethnicity and gender. Drawing on a review of literatures on Islam and Muslims from diverse fields such as religion, gender, diversity and extremism, we present a taxonomy of different types of Muslims, and highlight implications for management, organizations and governance. We trace ideological sources of divergence among variants of Islam and analyze how certain doctrinal and jurisprudential associations may reflect intolerance and extremism.