Phylum Porifera Grant, 1836 - sponges
Class Demospongea Sollas, 1875
see Class Demospongiae Sollas, 1885
Subclass Choristida Sollas, 1880
see Order Tetractinellida Marshall, 1876
Order Pachastrellida Reid, 2004
see Suborder Astrophorina Sollas, 1888
Family Pachastrellidae Carter, 1875
Subfamily Halininae de Laubenfels, 1934
Genus †Triptolemma de Laubenfels, 1955