In a perfect world, you would have listed yourself as an alternate leader when you applied for the permit. Alternate leaders need to have an account on recreation.gov. I don’t know whether you can change the leader at this point. They make it difficult to prevent people from scalping permits.

Except for the leader, they don’t care who else goes on the trip. The leader can bring anyone he/she chooses, and the permit doesn’t need to say who it is. Just don’t bring more people than the permit says are on the trip.