Phylum Brachiopoda Duméril, 1806 - brachiopods
Subphylum Craniiformea Popov, Bassett, Holmer & Laurie, 1993
Class Craniata Williams, Carlson, Brunton, Holmer & Popov, 1996
1 Order †Craniopsida Gorjansky & Popov, 1985
2 Order Craniida Waagen, 1885
3 Order †Trimerellida