Phylogeny of the cosmopolitan Ephemeroptera infraorder Pannota (Furcatergalia) is revised based on analysis of 46 characters from 34 Operational Taxonomic Units under the parsimony criterion of PAUP*, with Rhoenanthus Eaton (Scapphodonta: Potamanthidae) as an outgroup. Phylogenetic sequencing conventions were applied to the most parsimonious tree that was derived from this analysis. The resultant changes in classification include placing Philolimnias Hong, a monobasic genus from Eocene amber, into Philolimniidae, n. fam. Vietnamellidae is restricted to include only Vietnamella Tshernova, and Austremerella Riek is replaced in Austremerellidae, revalidation. Teloganella Ulmer is moved to Melanemerellidae (subfamily Teloganellinae, n. stat.). Coryphorus Peters is returned to Leptohyphidae (subfamily Coryphorinae, n. stat.).