I can't tell from the pics, but the description sounds like just regular tile. The thin ceramic you mention would be the porcelain glaze on the top surface of the tile, and the "cement" portion would be the actual ceramic portion of the tile.
As TileGuy said, start bangin. You're trying to get it out. Pretty much any type of tile gets smashed up during removal. If it is refusing to come loose from the subfloor, then it is time for some slow tedious manual scraping to get it loose without gouging chunks out of the subfloor.