Ibadi

The Ibāḍī (Arabic: Al-Ibādhiyyah الاباضية) is a denomination of Islam that is the dominant form in only one country, Oman. There are other Ibāḍī in Algeria and Libya. The Ibāḍī probably started one of the earliest schools, which was founded less than 50 years after the death of Muhammad.
The name comes from Abdullah ibn Ibadh at-Tamini. Some of the branch's followers, however, claim that its true founder was Jabir ibn Zaid al-'Azdi, who was from Nizwa, Oman.
Differences from other types of Islam.
Ibāḍī communities are generally seen as conservative. For example, they reject the practice of "qunūt" in which one asks Allah for things while one stands in prayer. Sunni Muslims traditionally consider the Ibāḍī to be an extremist Kharijite group because they came from that group. However, most Ibāḍī now believe that other Muslims are not "kuffar" "unbelievers", unlike most Kharijite groups, but "kuffar an-nima" "unbelievers in God's grace." Most Ibāḍī now believe a true believer's attitude to others to be expressed in three religious obligations:
Unlike the Kharijites, the Ibāḍī have abandoned the assassination of mainstream Muslims.
The Ibāḍī agree with Sunnis in approving of Caliphs Abū Bakr and Umar ibn al-Khattab, and both groups regarded them as rightly-guided caliphs. However, the Ibāḍī think that Uthman ibn Affan introduced "bid'ah" "innovations" to Islam and so approve of the revolt that overthrew him.
The Ibāḍī also approve of the first part of Ali's caliphate. Like the Shi'ites,the Ibāḍī disapprove of both Aisha's rebellion against him and Muawiya's revolt.
However, the Ibāḍī regard Ali's acceptance of arbitration at the Battle of Siffin against Muawiyya's rebels as un-Islamic. The Ibāḍī consider that Al's decision made him unfit as iman, and they condemn Ali also for killing early Kharijites in an-Nahr at the Battle of Nahrawan.
The Ibāḍī also have several doctrinal differences from other types of Islam; here are the main ones:
The Ibāḍī believe that the fifth legitimate caliph was Abdullah ibn Wahb al-Rasibi. All caliphs from Muˤāwiyya onwards are regarded as tyrants except Umar ibn Abdul Aziz on whom opinions differ. However, various later Ibāḍī leaders are recognized as true imāms, including Abdullah ibn Yahya al-Kindi of South Arabia and the imāms of the Rustamid dynasty in North Africa.
The Ibāḍī are also found in Jabal Nafusa in Libya, Mzab in Algeria, East Africa (particularly Zanzibar), and Djerba Island in Tunisia. The early medieval Rustamid dynasty in Algeria was Ibāḍī, and refugees from its capital, Tahert, founded the North African Ibāḍī communities, which still exist.