Methanogens are archaebacteria that produce methane as a metabolic byproduct in anoxic conditions. They are obligate anaerobic ancient and primitive bacteria.
Nostoc is not a green algae, it is blue-green algae or cyanobacteria.
Chemosynthetic autotrophic bacteria oxidizes inorganic substances such as nitrates, nitrites and ammonia and use the released energy for their ATP production.
Mycoplasma are the smallest, prokaryotes and lack a cell wall. They have the ability to survive without oxygen.