Be advised, Socionics started in the Russian-speaking world. As a consequence, most Socionics experts write their descriptions in Russian. Socionics in the English-speaking world is mostly limited to the internet, leading most English type descriptions to be written by the average Joe, not necessarily someone truly educated in Socionics.
That being said, while there are some descriptions missing, I find this site to have the most accurate descriptions:
Socionic Types
There's a decent translation of SHORT profiles of the types and their subtypes here:
Full type and subtype descriptions by V. Meged & A. Ovcharov - the16types.info Socionics Forums
As a slight side measure, I've made a table below for the various names of types, their first two (ego) functions, and their respective quadras (quadra being the the most prominent grouping in Socionics):
Alpha Quadra:
ILE - Intuitive Logical Extratim - ENTp (Ne-Ti)
SEI - Sensing Ethical Introtim - ISFp (Si-Fe)
ESE - Ethical Sensing Extratim - ESFj (Fe-Si)
LII - Logical Intuitive Introtim - INTj (Ti-Ne)
Beta Quadra:
IEI - Intuitive Ethical Introtim - INFp (Ni-Fe)
SLE - Sensing Logical Entrotim - ISTj (Se-Ti)
EIE - Ethical Intuitive Extratim - ENFj (Fe-Ni)
LSI - Logical Sensing Introtim - ISTj (Ti-Se)
Gamma Quadra:
ILI - Intuitive Logical Introtim - INTp (Ni-Te)
SEE - Sensing Ethical Extratim - ESFp (Se-Fi)
ESI - Ethical Sensing Introtim - ISFj (Fi-Se)
LIE - Logical Intuitive Extratim - ENTJ (Te-Ni)
Delta Quadra:
IEE - Intuitive Ethical Extratim - ENFp (Ne-Fi)
SLI - Sensing Logical Introtim - ISTp (Si-Te)
EII - Ethical Intuitive Introtim - INFj (Fi-Ne)
LSE - Logical Sensing Extratim - ESTj (Te-Si)