Latin to English Social Sciences Education / Pedagogy University \\

I have a diploma from the University of Navarra in Spain, of the Opus Dei, It says: D. John xxxxx a D. 15.iii.2002 FACULTATIS ORDINI summa cum laude satisfecit. -- My translation: Mr. John xxxx has on 15.iii.2002 satified “summa cum laude” the Order of the Faculty. is it so? or it means "what has been established by the Faculty"? I see ORDINI is in dative and FACULTATIS in genitive. Any ideas? thank you.