Phylum Porifera Grant, 1836 - sponges
Class Hexactinellida Schmidt, 1870 - hexactinellids
Subclass Hexasterophora Schulze, 1886
Order Lyssacinosa Zittel, 1877
see Order Lyssacinosida Zittel, 1877
Family Asemematidae Reid, 2004
see Family Asconematidae Schulze, 1886
Subfamily Caulophacinae Schulze, 1886 [monotypic]
see Subfamily Lanuginellinae Gray, 1872
Genus †Caulophacus Schulze, 1886