The board of Virginia Military Institute voted on Friday against extending the contract of Major General Cedric T. Wins, the college’s first Black superintendent.

The school’s board of visitors, which voted 10-6 not to extend General Wins’s contract, did not give an official reason for the decision, which was made after a closed session that lasted more than two hours.

The move followed years of pushback from conservative alumni of the college who had objected to what they called General…