Subfamily Tetralobinae Laporte, 1840

Tetralobites Laporte, 1840: 230; Candèze (1881, 1889, 1891, 1893, 1897).

Tetralobitae: Blanchard (1853), Fleutiaux (1940).

Tetralobides: Candèze (1857, 1859), Lacordaire (1857), Elston (1928).

Tetralobidae: Quedenfeldt (1886).

Tetralobinae: Fleutiaux (1919, 1926, 1947), Schenkling (1925), Elston (1930), Neboiss (1956, 1961), Van Zwaluwenburg (1959), Laurent (1964a, b, c, d; 1965a, b; 1967; 1968, 1974), Girard (1971, 1979, 1987, 2016), Gurjeva (1974), Hayek (1974), Dolin (1975, 1978), Lawrence (1988), Calder et al. (1993), Riese (1994), Lawrence & Newton (1995), Suzuki (2002), Cate (2007).

Tetralobini: Schwarz (1906), Heyne & Taschenberg (1908), Hyslop (1917), Ferreira (1963), Stibick (1979), Matthews (1985), Calder (1990), Costa et al. (1992, 1994, 2010), Jiang (1993a, b), Calder (1998), Girard (2003), Girard et al. (2007), Liu et al. (2007), Costa & Vanin (2010), Kundrata & Bocak (2011), Bouchard et al. (2011), Lawrence & Ślipiński (2013), Rosa et al. (2015).

= Phyllophoridae Hope, 1842: 73 .