Phylum Porifera Grant, 1836 - sponges
Class Demospongiae Sollas, 1885 - demosponges
Order †Permosphincta Termier & Termier, 1974
Suborder †Porata Seilacher, 1962
01 Family †Ascosymplegmatidae Boiko, 1991
02 Family †Angullongiidae Webby & Rigby, 1985
03 Family †Annaecoeliidae Senowbari-Daryan, 1978
see Family Tebagathalamiidae Senowbari-Daryan & Rigby, 1988
04 Family †Cheilosporitiidae Senowbari-Daryan & García-Bellido, 2002
see Family Cheilosporitidae Fischer, 1962
05 Family †Colospongiidae Senowbari-Daryan, 1990
06 Family †Cryptocoeliidae Steinmann, 1882
07 Family †Cystothalamiidae Girty, 1908
08 Family †Deningeriidae Boiko, 1991
see Subfamily Solenolmiinae Engeser, 1986
09 Family †Gigantothalamiidae Senowbari-Daryan, 1994
10 Family †Intrasporeocoeliidae Fan & Zhang, 1985
11 Family †Palermocoeliidae Senowbari-Daryan, 1990
12 Family †Phragmocoeliidae Ott, 1974
13 Family †Polysiphonellidae Belyaeva, 1991
14 Family †Polytholosiidae Seilacher, 1962
see Subfamily Polytholosiinae Seilacher, 1962
15 Family †Salzburgiidae Senowbari-Daryan & Schäfer, 1979
16 Family †Sebargasiidae de Laubenfels, 1955 (1882)
17 Family †Sphaeroverticillitidae Boiko, 1991
see Family Thaumastocoeliidae Ott, 1967
18 Family †Solenolmiidae Engeser, 1986
19 Family †Tebagathalamiidae Senowbari-Daryan & Rigby, 1988
20 Genus †Alaskaspongia Rigby, Potter & Blodgett, 1988, incertae sedis
21 Genus †Platysphaerocoelia Boiko, 1991, incertae sedis
22 Genus †Solidothalamia Sheng, 1991, incertae sedis
23 Genus †Stylocoelia Wu, 1991, incertae sedis