Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
paedăgōgĭānus, a, um, adj. [paedagogium], of or belonging to the paedagogium (post-class.): puer, Amm. 26, 6, 15; 29, 3, 3: qui ministeriales et paedagogiani exsistunt, reared to serve at court, Cod. Th. 8, 7, 5.