Yeah you are right. They were commanders instead.
shogun
/ˈʃəʊɡʌn,ˈʃəʊɡ(ə)n/
noun
a hereditary commander-in-chief in feudal Japan. Because of the military power concentrated in his hands and the consequent weakness of the nominal head of state (the mikado or emperor), the shogun was generally the real ruler of the country until feudalism was abolished in 1867.
