What are the different branches of Psychoanalysis? I am trying to make a list of the main accepted branches of psychoanalysis to quiz a friend of mine. I don't know much about it and to learn more I need to know the main areas. So far I have 


Freudian Psychology
Object Relations Theory
Relations Theory 
Self-psychology 


Does anyone know of a basic list of the main branches? My friend said these were the main ones, but I couldn't find a source to substantiate that and I want to verify these are indeed considered the main branches. 

EDIT: 
By a "branch" or "school", I mean a general umbrella term people use to aggregate related trains of thought. In physics, this might be "general relativity" or "quantum mechanics".
In the context of the question I think it makes sense to limit the scope to earlier developments in psychoanalysis. Thompson (1957) gives an overview of what can be called psychoanalytic schools. She includes:


Freudian psychoanalysis
Individual psychology (Alfred Adler)
Analytical psychology (Carl Gustav Jung)
Object relations theory (Sándor Ferenczi, Otto Rank)
(Wilhelm Reich)
Karen Horney (sometimes denoted »Culturalist Psychoanaysis«)
Erich Fromm (sometimes denoted »Culturalist Psychoanaysis«)
Harry Stack Sullivan (sometimes denoted »Culturalist Psychoanaysis«)


On the other hand, several psychoanalytic psychologies can be distinguished. Following a systematization by Gottfried Fischer, there are:


Drive theory/drive psychology (psychodynamic theory)
Ego psychology (Freudian psychoanalytic psychology/structural theory)
Object relations theory
Self psychology


Newer psychoanalytic schools comprise e. g. Lacanian psychoanalysis, interpersonal psychoanalysis and relational psychoanalysis – but for a more comprehensive list see Kernberg (2001) and Gabbard (2009).



Literature:


Frosh, Stephen (2012). A Brief Introduction to Psychoanalytic Theory. London: Palgrave.
Gabbard, Glen O. (2009) Textbook of Psychotherapeutic Treatments. American Psychiatric Publishing. (Ch. 1: Theoretical Models of Psychodynamic Psychotherapy)
Kernberg, Otto F. (2001). Recent Developments in the Technical Approaches of English-Language Psychoanalytic Schools. The Psychoanalytic Quarterly, Volume LXX, Issue 3, 519–547.
Thompson, Clara Mabel (1957). The different schools of psychoanalysis. American Journal of Nursing, 57, 1304–1307.
Thompson, Clara Mabel &amp; Mullahy, Patrick (1951). Psychoanalysis: Evolution and Development (3rd ed.). New York: Hermitage House.