The kingdom Archaebacteria is classified as prokaryotic. This means that organisms within this kingdom do not have a membrane-bound nucleus or other membrane-bound organelles, distinguishing them from eukaryotic organisms.
Archaebacteria are single-celled microorganisms that thrive in extreme environments, such as hot springs, salt lakes, and deep-sea vents. Their unique biochemical properties and genetic makeup set them apart from other types of bacteria and eukaryotes. For instance, the cell walls of archaebacteria lack peptidoglycan, which is found in the cell walls of most true bacteria.
In summary, archaebacteria are indeed prokaryotic, showcasing the incredible diversity of life that exists outside the traditional realm of eukaryotes.