†order Condylarthra Cope 1881
Parent taxon: Epitheria according to Z. Kielan-Jaworowska et al. 2004
Sister taxa: Anagalida, Bobolestidae, Ernotheria, Insectivora, Preptotheria, Ungulata
Subtaxa: Arctocyonoidea, Chriacidae, Kharmerungulatum, Meniscotheridae, Paroxyclaenidae, Perutherium, Phenacolophus, Pleuraspidotheriidae, Quettacyonidae, Tingamarra