†family Isastreidae Alloiteau 1952 (stony coral)
Parent taxon: Faviina according to R. Baron-Szabo 2006
Sister taxa: Columastreidae, Faviicae, Heliastraeidae, Misistellidae, Mussidae, Oculinidae, Pamiroseriidae, Phyllocoeniidae, Placocoeniidae, Placosmiliidae, Stylophyllicae, Tropidastraeidae
Subtaxa: Parisastraea, Pseudofavites, Tricassastraea
Ecology: stationary intermediate-level epifaunal photosymbiotic-suspension feeder