JAKARTA, Indonesia — Indonesia was thrown into turmoil on Wednesday after the National Police named the Christian governor of the country’s capital a suspect in a blasphemy investigation over comments he made about the Quran. Outrage over those remarks set off bloody street protests this month.

The governor, Basuki Tjahaja Purnama, Jakarta’s popular leader, has been barred from leaving the country as the authorities continue their investigation of him, Tito Karnavian, the national police chief, said at a televised news conference.

Mr. Basuki, who is known as Ahok and is running for re-election in February, has been a political target of radical Islamic organizations since taking office in 2014. Some of those groups seized on comments he made in September to a group of fishermen, in which he lightheartedly cited a Quran verse that warns against taking Christians and Jews as friends.

Islamic groups opposed to Mr. Basuki, who is an ethnic Chinese Indonesian and a political ally of President Joko Widodo, staged a huge protest march through the capital on Nov. 4 that ended in violence, with one killed and hundreds injured, as protesters set cars ablaze and battled with riot police officers.