Family †Calathiopsidaceae Doweld (2001) Family †Austrocalyxaceae Vega & Archangelsky (2001) Order †Moresnetiales Doweld (2001) [Elkinsiales Rothwell, Scheckler & Gillespie (1989); Hydraspermatales Krassilov (1989)] Family †Eurystomataceae Long (1975) Family †Eospermatacesidae Long (1975) Family †Moresnetiaceae Němejc (1963) emend. Anderson, Anderson & Cleal (2007) [Genomospermaceae Long (1975); Elkinsiaceae Rothwell, Scheckler & Gillespie (1989) ex Cleal; Hydraspermaceae] Class †Lyginopteridopsida Novák (1961) emend. Anderson, Anderson & Cleal (2007) [Lagenostomatopsida Cleal (1993); Lyginopteridophyta Doweld (2001); Lyginopteridophytina] Order ?†Hexapterospermales Doweld (2001) Family †Colpospermaceae Doweld (2001) Family †Hexapterospermaceae Doweld (2001) nom cons. [Potonieaceae (Halle (1933)) Remy & Remy (1959) emend. Anderson & Anderson (2007)] Order †Lyginopteridales (Corsin (1960)) Havlena (1961) [Lagenostomatales Seward ex Long (1975); Lyginodendrales Nemejc (1968); Sphenopteridales Schimper 1869] Family †Angaranthaceae Naugolnykh (2012) Family †Heterangiaceae Němejc (1950) nom. nud. Family †Physostomataceae Long (1975) Family †Lyginopteridaceae Potonie (1900) emend. Anderson, Anderson & Cleal (2007) [Lagenostomataceae Long (1975; Pityaceae Scott (1909); Lyginodendraceae Scott (1909); Sphenopteridaceae Gopp. (1842); Pseudopecopteridaceae Lesquereux (1884); Megaloxylaceae Scott (1909), nom. rej.; Rhetinangiaceae Scott (1923), nom. rej.; Tetratmemaceae Němejc (1968)] Class †Pachytestopsida Doweld (2001) [Medullosopsida nom. nud.; Trigonocarpopsida nom. nud.; Medullosae] Order †Codonospermales Doweld (2001) Family †Codonospermaceae Doweld (2001) emend. Anderson, Anderson & Cleal (2007) Order †Pachytestales Doweld (2001) (Medullosales Corsin (1960); Trigonocarpales Seward 1917 nom. inv.; Neuropteridales Schimper (1869); Rhexoxylales] Family †Potonieaceae Halle (1933) emend. Anderson, Anderson & Cleal (2007) [Rachivestitaceae; Perispermaceae] Family †Polylophospermaceae Doweld (2001) emend. Anderson, Anderson & Cleal (2007) Family †Stephanospermaceae Doweld (2001) emend. Anderson, Anderson & Cleal (2007) Family †Trigonocarpaceae Göppert (1842) Family †Neuropteridaceae Laveine (1966) [incl. Odontopteridaceae Trapl (1926) sensu Corsin (1960); Neurodontopteridaceae Laveine (1966)] Family †Pachytestaceae Doweld (2001) (Medullosaceae (Gopp. (1842)) Sterzel (1896); Whittleseyaceae Remy & Remy (1959); Protoblechnaceae Wagner (1967); Neuralethospermaceae Laveine (1967)) Family †Callipteridaceae Corsin ex Wagner (1965) [Callipteridiaceae; Callipteraceae] Family †Alethopteridaceae (Lesquereux (1884)) Corsin (1960) emend. Anderson, Anderson & Cleal (2007) Family †Cyclopteridaceae Corsin ex Wagner (1964) Class †Callistophytopsida [Callistophytina] Order †Callistophytales Rothwell (1981) emend. Anderson, Anderson & Cleal (2007) [Poroxylales Němejc (1968)] Family †Cornucarpaceae Doweld (2001) [Eremopteridaceae] Family †Callistophytaceae Stidd & Hall (1970), nom. cons. [Mariopteridaceae Němejc (1968); Callospermariaceae Long (1975)] Class †Peltaspermopsida Doweld (2001) [Peltaspermidae Němejc (1968); Psygmophyllopsida Koidzumi (1939)] Order †Sporophyllitales Doweld (2001) Family †Sporophyllitaceae Doweld (2001) Family †Leuthardtiaceae Doweld (2001) Order †Trichopityales Doweld (2001) [Psygmophyllales Nakai (1943)] Family †Psygmophyllaceae Zalessky (1937) emend. Naugolnykh Family †Syniopteridaceae Petrescu & Dragastan (1981) Family †Trichopityaceae Němejc (1968) [Florin emend.] Order †Peltaspermales Taylor (1981) [Lepidopteridales Němejc (1968)] Family †Autuniaceae Doweld (2001) Family †Peltaspermaceae (Thomas (1933)) Pilger