Hisham ibn Abd al-Malik
One grandson of Hisham ibn Abd al-Malik, Abd ar-Rahman I, survived and established a kingdom in Al-Andalus (Moorish Iberia) after five years of travel westward. Over the course of thirty years, he ousted the ruling Fihrids and resisted Abbasid incursions to establish the Emirate of Córdoba. This is considered an extension of the Umayyad Dynasty, and ruled from Cordoba from 756 until 1031.