Class †Algospongia Termier, Termier & Vachard, 1977, incertae sedis
   Order †Moravamminida Pokorny, 1951
     Suborder †Wetheredellina Vachard & Cózar, 2010
       1 Family †Wetheredellidae Vachard, 1977
       2 Family †Asphaltinidae Vachard & Cózar, 2010