Query: What did the 5th Dalai Lama and his intimates establish?
Context: His efforts were successful in part because of aid from Güshi Khan, the Oirat leader of the Khoshut Khanate. With Güshi Khan as a largely uninvolved overlord, the 5th Dalai Lama and his intimates established a civil administration which is referred to by historians as the Lhasa state. This Tibetan regime or government is also referred to as the Ganden Phodrang.