Original description as Characodon furcidens:
- Jordan, David Starr & C.H. Gilbert. 1882. "Catalogue of the fishes collected by Mr. John Xantus at Cape San Lucas, which are now in the United States National Museum, with descriptions of eight new species". Proceeding of the United States National Museum. 5(290):353-371 (ffm04531)
- Ilyodon paraguayense Eigenmann, 1907, with type locality at Paraguay. Determiner: Hubbs et al., 1939
- Balsadichthys xantusi Hubbs & Turner, 1939, with type locality at Quiet pools of a small tributary of Río Colima, Hacienda Los Limones, Colima, Mexico. Determiner: Miller et al., 1971
- Ilyodon lennoni Meyer & Förster, 1983, with type locality at Arroyo Chacambero near Altamirano, Guerrero, Mexico. Determiner: Nelson et al., 2004
Conservation: Ilyodon furcidens is evaluated by the international union for the conservation of nature in the iucn red list of threatened species as (LC) least concern (2018).