Class †Algospongia Termier, Termier & Vachard, 1977, incertae sedis
   Order †Aoujgaliida G. Termier et al., 1975
     Suborder †Aoujgaliina
       Family †Aoujgaliidae
         1 Genus †Aoujgalia Termier, 1950
         2 Genus †Asteroaoujgalia Brenckle, 2004
         3 Genus †Costacheoides Vachard & Cózar, 2010
         4 Genus †Epistacheoides Petryk & Mamet, 1972
         5 Genus †Pseudostacheoides Petryk & Mamet, 1972
         6 Genus †Roquesselsia Termier, Termier & Vachard, 1977
         7 Genus †Sinustacheoides Termier, Termier & Vachard, 1977
         8 Genus †Stacheoides Cummings, 1955