An order of lobefin fishes placed in the subclass Coelacanthimorpha and well known as fossils. Coelacanthiformes and the fossil suborders Rhizodontimorphi and Osteolepimorpha (rhipidistians) were once grouped as the subclass Crossopterygii. However, since it is now believed this assemblage is artificial, the coelacanth fraction was elevated to the subclass Coelacanthimorpha, with one order (Coelacanthiformes), four fossil families, and one extant family (Coelacanthidae).