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 Asemematinae Reid, 2004 see Subfamily Asconematinae Schulze, 1886