This is the 1956 Chrysler Diablo. It's 22 feet of Italian-American weirdness. With a 129" wheel base (an inch shy of a 2015 Chevrolet Suburban) it was in no way a "sporty" car, but they made it look like it went fast anyway. From Heacock Classic's post about it.

The Italian craftsmen executed the striking vision of Exner beautifully, with elegant lines that were inspired by jet planes and rocket ships. The Diablo's Manta-Ray face, oval hood, and muted fins gave it the lowest coefficient of drag ever recorded for an automobile at the time.

This car was a product of Carrozzeria Ghia's (as in Karmann Ghia) work with Chrysler in the 50's, which never really panned out into real production designs but a bunch of stuff like this:

(The 1954 Plymouth Explorer concept car)