so·dal·i·ty 
(sō-dălĭ-tē)
(sō-dălĭ-tē)n. pl. so·dal·i·ties
1. A society or an association, especially a devotional or charitable society for the laity in the Roman Catholic Church.
2. Fellowship.
[French sodalité, from Old French, from Latin sodālitās, fellowship, from sodālis, companion; see s(w)e- in the Appendix of Indo-European roots.]