Hexactinosida Schrammen, 1912
Conicospongia Rigby & Pisera, 2001
Cordiospongia Rigby & Pisera, 2001
Craticularia Zittel, 1878
Dictyonocoelia Étallon, 1859
Laocoetis Pomel, 1872
Paleocraticularia Rigby & Pisera, 2001
Pleuroguettardia Reid, 1962
Polonospongia Rigby & Pisera, 2001
Sphenaulax Zittel, 1878
Thyroidium de Laubenfels, 1955
Urnospongia Rigby & Pisera, 2001
