Conocoryphidae is a family of trilobites within the order Ptychopariida. Members of this family have been recorded from the Cambrian to early Ordivician from 513 to 478 MYA. Members of this family have been uncovered in the United States, Canada, China, Czech Republic, France, Greenland, Russia, Spain, Turkey, and the United Kingdom.
Genera Bailiaspis Resser, 1936 Bailiella Matthew, 1885 Conocoryphe Hawle and Corda, 1847 Ctenocephalus Hawle and Corda, 1847 Elyx Brogger, 1879 Hartella Matthew, 1885 Holocephalina Salter, 1864 Novocatharia Özdikmen, 2009 Parabailiella Thoral, 1946 Tchaiaspis Korobov, 1966
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