Although hysteric and obsessional subjects are both neurotically structured, they are different subject positions. However, most neurotics display hysteric and obsessional qualities, it comes down to which is predominant. This can be deciphered by listening to the unconscious as the unconscious question that drives either the hysteric or the obsessional into being is different. For the hysteric, she asks Am I a man or a woman? For the obsessional, he asks Am I dead or alive? (Although the two subject positions are not gender exclusive, there tends to be more women who are hysteric and men who are obsessional). Now coming from these two different questions springs different motivations that drive desire. The hysteric’s desire becomes the desire of the Other; the obsessive’s desire becomes the ever failing attempt to operate independent of the Other. As a result the hysteric’s own desire remains unsatisfied where the obsessive’s desire remains impossible.

I suggest reading Bruce Fink’s chapter on Neurosis in his clinical introduction to lacanian psychoanalysis. It goes into all of this in much more depth. You can find the pdf of it on z-lib.org