Which preposition to use with caliphates

of Occurrences 9%

The peninsula was conquered by the Moors in the caliphate of Walid I, 705-715 A.D., and the independent dynasty of the Ommiades was founded by Abderrhaman at Granada in 755 A.D.

in Occurrences 4%

He aimed at the temporal power of a caliph, and soon established a rival caliphate in Africa, where he had obtained a considerable sovereignty.

with Occurrences 2%

His eldest son Abul-Kasim, who had twice led expeditions into Egypt, succeeded to the caliphate with the title of El-Kaim, 934-946.

out Occurrences 1%

To call a real caliphate out of so long abeyance could hardly have been effected even by a bold soldier, who appealed to the general imagination of Moslems; and certainly was beyond the power of a timid civilian.

Which preposition to use with  caliphates