ISTANBUL — The Turkish authorities extended their purge of state institutions on Tuesday, suspending more than 15,000 employees of the education ministry for suspected links to a failed military coup last week.

Shortly after the suspensions were announced, the High Education Board ordered the resignation of more than 1,500 deans from universities across the country and revoked the licenses of 21,000 teachers, Turkish officials said.

By Tuesday night, the government of President Recep Tayyip Erdogan had either purged or detained nearly 35,000 members of the military, security forces and judiciary in an effort to remove from the government bureaucracy and political-class loyalists of Fethullah Gulen, a Muslim cleric whom the government has accused of orchestrating Friday’s coup attempt.

Prime Minister Binali Yildirim likened Mr. Gulen’s followers to a “parallel terrorist organization.”