γυμνᾰσίαρχ-ος · gymnasiarch-os — LSJ
gymnasiarch, superintendent of athletic training at Athens and elsewhere, And. 1.132, D. 35.48, IG 2(2).1227.4, 5(1).20A 5 (Sparta), PAmh. 2.130.1 (i A. D.), etc.: fem. ἡ -αρχος, IGRom. 3.802 (Pamphyl.).
director of a γυμνάσιον, Pl. Erx. 399a, Phld. Herc. 1040.