Modern humans are H.sapiens sapiens but since we don't have any living relations just using H.sapiens is fine. Neanderthals are either classified as H.neanderthalensis or H.sapiens neanderthalensis.
Cro Magnon are AMHS and really aren't considered a valid distinct group. Though the term is casually used to talk about the European population of Early Modern Humans (EMH).
That's kind of a shame. I know I occasionally am not entirely certain of some things (for example: humans: h. sapiens sapiens, or homo sapiens? Are Neanderthals categorised as h. sapiens H. s. neanderthalensis, how are AMHS and Cro Magnon distinguished: merely by culture and date, or also biology? etc), so I think this kind of thread would be useful. But I imagine it'd turn into another turd flinging thread.
Hey pw, I was wondering -- do you think making thread on RF where people who accept evolution can ask questions on it to improve their knowledge of it would be a good idea, or do you think it would be hijacked and turned into a debate thread?