C and S-Corps
The S-Corp (so named from a chapter of the tax code) is a tax device created by federal law in 1958. It is a regular corporation with regular limited liability under state law, whose owners elect pass through status for federal tax purposes. That status requires compliance with a number of often constricting rules but, with some exceptions, complying corporations escape federal corporate tax.
Corporations whose owners don't choose to make the federal S-corp election are called C-corps (after another chapter of the tax code).