Phylum Chordata Bateson, 1885 - chordates Subphylum Vertebrata Cuvier, 1812 - vertebrates see Infraphylum Vertebrata Lamarck, 1801 Class Mammalia Linnaeus, 1758 - mammals Order Chiroptera Blumenbach, 1779 - bats Family Molossidae Gervais, 1856 - free-tailed bats and mastiff bats