Fraternal Order of Deacons?

I wonder, is there a “fraternal society” of deacons? I have heard of various societies for priests, like the Priestly Society of the Holy Cross, an association of diocesan priests who are united to Opus Dei. Priests who join this association are still completely under the jurisdiction of their bishop or religious order.

Is there something similar for deacons? Virtually every permanent deacon is within the jurisdiction of a bishop, but can deacons join free associations?

I think such organizations could be beneficial to men who serve the Church through diaconal ministry.