γυμνασιαρχία
From LSJ
ἔνδον γὰρ ἁνὴρ ἄρτι τυγχάνει, κάρα στάζων ἱδρῶτι καὶ χέρας ξιφοκτόνους → yes, the man is now inside, his face and hands that have slaughtered with the sword dripping with sweat
English (LSJ)
ἡ,
A office of gymnasiarch, X.Ath.1.13 (pl.), Arist.Pol.1323a1, Pl.Ax. 367a, IG12(2).82 (Mytilene), 5(1).531 (Sparta), PAmh.70.3 (ii A. D.), etc.