; Mém. Acad. Sci. Turin 5: 4 (1793) (s. str.)
= Acanthea Lindig; Contr. Colomb. Cienc. 2: 34 (1861)
= Actinophlebia C.Presl; Gefässbündel Farrnkr. 47 (1847), et Abh. Königl. Böhm. Ges. Wiss. 5, 6: 355 (1848)
= Amphicosmia Gardner; London J. Bot. 1: 441 (1842)
= Chnoophora Kaulf.; Enum. Filic. [Kaulfuss] 250 (1824) (nom. superfl.)
= Cnemidaria C.Presl; Tent. Pterid. 56 (1836)
= Cnemidopteris Rchb.; Deut. Bot. Herb.-Buch (Index gen et subgen.): 148, 235 (1841)
= Cormophyllum Newman; Phytologist 5: 237 (1856) (nom. superfl.)
= Cyathea subgen.Hymenophyllopsis (K.I.Goebel) Christenh.; Phytotaxa 1: 38 (2009)
= Dichorexia C.Presl; Abh. Königl. Böhm. Ges. Wiss., ser. 5, 5: 344 (1848)
= Disphenia C.Presl; Tent. Pterid. 55 (1836) (nom. superfl.)
= Eatoniopteris J.Bommer; Bull. Soc. Bot. France 20(Sess. Extraord.): xix (1874)
= Fourniera J.Bommer; Bull. Soc. Bot. France 20(Sess. Extraord.): xix (1874)
= Gymnopremnon Lindig; Contr. Colomb. Cienc. 2: 34 (1861)
= Hemistegia C.Presl; Gefässbündel Farrnkr. 46 (1847), et Abh. Königl. Böhm. Ges. Wiss. 5(5): 354 (1848)
= Hemitelia R.Br.; Prodr. Fl. Nov. Holland. 158 (1810)
= Hemiteliella Diels; Nat. Pflanzenfam. [Engler & Prantl] I, 4: 16: 132 (1899)
= Hymenophyllopsis Goebel; Flora 124: 3, 21 (1929)
= Microstegnus C.Presl; Gefässbündel Farrnkr. 45 (1847), et Abh. Königl. Böhm. Ges. Wiss. 5(5): 353 (1848)
= Nephelea R.M.Tryon; Contr. Gray Herb. 200: 37 (1970)
= Schizocaena J.Sm.; Gen. Fil. [W. J. Hooker] t. 2 (1838)
= Thysanobotrya Alderw.; Bull. Jard. Bot. Buitenzorg, sér. 2, 28: 66 (1918)
= Trachypremnon Lindig; Contr. Colomb. Cienc. 2: 34 (1861)
= Trichipteris C.Presl; Delic. Prag. 1: 172 (1822)
= xCyathidaria Caluff & Shelton; Willdenowia 32: 282 (2002) (Cnemidaria x Cyathea)