Generally, a non-denominational church has a basis in the Christian tradition without following one of the many denominations of that religion. As such, it does not preach on the basis of other world religions such as Islam, Judaism, Buddhism or Hinduism.
Christianity has been divided into many denominations for most of its history. The earliest branches of the church, around 100 A.D., were the Gnostic, Jewish and Pauline Christians. The first two groups were suppressed and destroyed, while the latter evolved into a united church.
The next major schism occurred around 1054 A.D., with the separation of the Western Roman Catholic and Eastern Orthodox churches. While the Orthodox churches further divided into national denominations, the Roman Catholic Church maintained a centralized system of worship in Europe until the Protestant Reformation of 1517. Led by the German friar Martin Luther, Protestantism sought to break away from the autocratic authority of the Pope and reintroduce a more personal relationship with religion.
Although the Roman Catholic Church has maintained a centralized organization during these splits, Protestantism gave rise to a number of denominations, over 1,500 as of 2015. Major denominations like Adventist, Baptist, Lutheran, Pentecostal, Methodist, Presbyterian and the Church of Latter-Day Saints boast memberships of millions.