There are three groups of Archaebacteria: Methanogens, Halophiles, and Thermoacidophiles. Archaebacteria can be known by Extremophiles, Methanogens, Halophiles, and Thermoacid … ophiles. The common scientific name for archeabacteria is Haloquadra walsbyi. 5 people found this useful.Answered. In Land Mammals.onfidence votes 605. The common name for Eubacteria and Archaebacteria both is bacteria. The scientific names are Eubacteria/Bacteria and Archaebacteria/Archaea.