Phylum Porifera Grant, 1836 - sponges
Class Demospongea Sollas, 1875
see Class Demospongiae Sollas, 1885
Subclass Ceractinomorpha Lévi, 1953
see Class Demospongiae Sollas, 1885
Order Vaceletida Finks & Rigby, 2004
1 Family †Solenolmiidae Engeser, 1986
2 Family †Colospongiidae Senowbari-Daryan, 1990
3 Family †Gigantothalamiidae Senowbari-Daryan, 1994
4 Family †Tebagathalamiidae Senowbari-Daryan & Rigby, 1988
5 Family †Cheilosporitiidae Senowbari-Daryan & García-Bellido, 2002 [monotypic]
see Family Cheilosporitidae Fischer, 1962
6 Family †Salzburgiidae Senowbari-Daryan & Schäfer, 1979 [monotypic]
7 Family †Cribrothalamiidae Senowbari-Daryan, 1990 [monotypic]
8 Family Verticillitidae Steinmann, 1882
9 Genus †Platysphaerocoelia Boiko, 1991