Just like the other domains, Eukaryotes are eukaryotic cells. You can also figure it out by looking at the name. These Domains have very similar membranes like the bacteria. Eukaryotes are then grouped into Kingdom Protista (algae, protozoans, etc.), Kingdom Fungi (yeast, mold, etc.), Kingdom Plantae (flowering plants, ferns, etc.) and Kingdom Animalia (insects, vertebrates, etc.). Not every Eukaryote has to have a cell wall and even if they do the usually don’t contain peptidoglycan like bacteria do. In the kingdom Plantae and kingdom Animalia their cells are organized in to tissue and for the presence of cell walls, this is only restricted to the members of kingdom Plantae.