Unique inclusions of maximal C-clones in maximal clones

C-clones are polymorphism sets of so-called clausal relations, a spe-cial type of relations on a finite domain, which first appeared in connec-tion with constraint satisfaction problems in [CHKS08]. We completely describe the relationship w.r.t. set inclusion between maximal C-clones and maximal clones. As a main result we obtain that for every maximal C-clone there exists exactly one maximal clone in which it is contained. A precise description of this unique maximal clone, as well as a corres-ponding completeness criterion for C-clones is given.