Bilateria Hatschek, 1888 - bilaterians see Subkingdom Bilateria Hatschek, 1888 Spiralia Schleip, 1929 - spiralians see Superphylum Spiralia Schleip, 1929 Trochozoa Beklemischev, 1944 - trochozoans Phylum Brachiopoda Duméril, 1806 - brachiopods