Phylum Brachiopoda Duméril, 1806 - brachiopods Subphylum Rhynchonelliformea Williams et al., 1996 Class †Strophomenata Williams et al, 1996 Order †Orthotetida Waagen, 1884 Suborder †Orthotetidina Waagen, 1884 1 Superfamily †Orthotetoidea Waagen, 1884 2 Superfamily †Chilidiopsoidea Boucot, 1959