Tasmanian tigers have a few common names, including Tasmanian tiger and Tasmanian wolf.
The tigers with which we are most familiar (coming out of Asia) are felines - our house cats are in this family.
The wolves of the northern hemisphere are canines - our pet dogs are in this family.
But the Tasmanian tiger is neither a cat nor a dog. It is, as noted by a couple of people, a marsupial.
Marsupials have a breeding strategy whereby the young are born very undeveloped. They crawl into the mother’s pouch, which is called a marsupium.
Cats and dogs are not marsupials - they are placentals. Placentals have an alternate breeding strategy - the young develop considerably more before birth and while in utero they are nourished with the aid of an organ called the placenta.
In other words, Tasmanian tigers belong to neither feliformia nor canoformia.
You can also find out more about Tasmanian tigers - including the examination of the evidence for many sighting claims - at my website Where Light Meets Dark or follow along on Facebook Where Light Meets Dark.