The origin and early evolution of the cartilaginous fishes (Chondrichthyes) has been the subject of considerably more debate than of data. The two modern groups, Chimaeriformes and Elasmobranchii, differ so radically in morphology that in the past they have often been considered unrelated -- descended from some remote and unknown common ancestor. The current consensus promotes the Chimaeriformes and Elasmobranchii as sister taxa of the Class Chondrichthyes which are linked by an assemblage of Palaeozoic fossil taxa, but no taxonomic or phylogenetic scheme has been accepted for the Class. Of the two groups, the Chimaeriformes is the less understood. The few species of Chimaeriformes existing today are enigmatic, principally deeper-water fish that are not readily accessible for study. In the past the fossil record of both groups has been relatively scanty, primarily due to the poor potential for skeletal fossilization, and so has provided little useful input into fundamental discussions of vertebrate diversification. However, these situations are changing. Chimaerids are increasingly becoming the subject of renewed biological and limited fisheries interests. Regarding extinct chondrichthyans, the last 30 or so years have entailed discoveries of new fossils that illuminate our view of Palaeozoic life and are eliciting dramatic changes in our understanding of these early fishes, their relations, and the origins of jawed conditions.
Morphological examination of fossil chondrichthyans indicates that the plesiomorphous state of the gnathostome suspensorium is autodiastylic and that complex labial cartilages are primitive and likely to have been critical to the mechanical architecture of the first jaws. Analysis of cranial morphology, cranial proportions, the phyletic and developmental history of calcified tissues, and postcranial data including the evolution of the prepelvic tenaculum are now feasible. Cumulatively, when the results of these analyses are subject to cladistical evaluation, the result is one predominant cladogram supporting two monophyletic subclasses: the Elasmobranchii and the Euchondrocephali. The latter subclass contains a monophyletic group of holocephalans including the Cochliodontomorpha, and within this taxon, the restricted Chimaeriformes. Alternative cladograms of the non-holocephalan Euchondrocephali are dependent upon whether whole-body or cranial characters alone are employed in the analysis, or the additive or non-additive treatment of characters. Otherwise, only the discovery and description of additional members of this diverse assemblage are expected to alter these patterns of associations