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
           1 Subfamily Asemematinae Reid, 2004 see Subfamily Asconematinae Schulze, 1886
           2 Subfamily Caulophacinae Schulze, 1886 [monotypic] see Subfamily Lanuginellinae Gray, 1872