commodores didn't give orders to fleet admirals.
"Space Viking"
Henry Beam Piper
The Officers of the Navy upon the active list include one admiral, one vice-admiral, six rear-admirals, and ten commodores.
"Government and Administration of the United States"
Westel W. Willoughby and William F. Willoughby
By-and-by, there followed the crowd of nabobs and parvenus, the blustering swearers of the days of East Indian speculation, and finally came the truculent swabbers and commodores of Adelphi melodrama.
"A Cursory History of Swearing"
Julian Sharman