Osteichthyes (Bony Fish)

Cross references:  Sharks & Rays      Teleost Dominance Hierarchies 

Osteichthyes (Wiki) 
    "Osteichthyes is divided into the ray-finned fish (Actinopterygii) and lobe-finned fish (Sarcopterygii)."  "In most classification systems[1] the Osteichthyes are paraphyletic with land vertebrates. That means that the nearest common ancestor of all Osteichthyes includes tetrapods amongst its descendants. "   

Sarcopterygii (Wiki) 
    "Sarcopterygians and their relatives the actinopterygians ("ray-finned fish") comprise the superclass Osteichthyes, the "bony fish", characterized by their bony skeleton rather than cartilage. There are otherwise vast differences in fin, respiratory, and circulatory structures between the Sarcopterygii and the Actinopterygii.
In the early–middle Devonian (416 - 385 Ma), while the predatory placoderms dominated the seas, some sarcopterygians came into freshwater habitats.

    In the Early Devonian (416 - 397 Ma), the sarcopterygians split into two main lineages — the coelacanths and the rhipidistians. The former never left the oceans and their heyday was the late Devonian and Carboniferous, from 385 to 299 Ma, as they were more common during those periods than in any other period in the Phanerozoic; coelacanths still live today in the oceans (genus Latimeria).

    The Rhipidistians, whose ancestors probably lived in the oceans near the river mouths (estuaries), left the ocean world and migrated into freshwater habitats. They in turn split into two major groups : the lungfish and the tetrapodomorphs. The lungfish evolved the first proto-lungs and proto-limbs; they learned in the middle Devonian (397 - 385 Ma) how to live outside a water environment, using their stubby fins (proto-limbs) to walk on land and find new water if their waterhole was depleted, and their lungs to breathe air and get sufficient oxygen. The lungfish's greatest diversity was in the Triassic period; today there are fewer than a dozen genera left.

    The first tetrapodomorphs, which included the gigantic rhizodonts, had the same general anatomy as the lungfish, who were their closest kin, but they appear not to have left their water habitat until the late Devonian epoch (385 - 359 Ma), with the appearance of tetrapods (four-legged vertebrates). Tetrapods are they only tetrapodomorphs which survived after the Devonian.

    Non-tetrapod sarcopterygians continued until towards the end of Paleozoic era, suffering heavy losses during the Permian-Triassic extinction event (251 Ma)."