Phylum Brachiopoda Duméril, 1806 - brachiopods
Subphylum Craniiformea Popov, Bassett, Holmer & Laurie, 1993
Class Craniata Williams, Carlson, Brunton, Holmer & Popov, 1996
Order †Craniopsida Gorjansky & Popov, 1985
1 Superfamily †Craniopsoidea Williams, 1963