Phylum Porifera Grant, 1836 - sponges
   Class Hexactinellida Schmidt, 1870 - hexactinellids
     Order †Inaecoelida Senowbari-Daryan & García-Bellido, 2002 [monotypic] see Order Innaecoeliida Boiko, 1990
       Family †Inaecoeliidae Senowbari-Daryan & García-Bellido, 2002 see Family Innaecoeliidae Boiko, 1990
         1 Genus †Casearia Quenstedt, 1858
         2 Genus †Caucasocoelia Boiko, 1990
         3 Genus †Pseudoverticillites Boiko, 1990
         4 Genus †Dracolychnos Wu & Xiao, 1989