Question: what are the types of subjunctive mood?
Answer: Counterfactual. In this subjunctive construction, the writer expresses a notion contrary to fact, such as “If I were you, I'd return it to the store.”
Imperative. In this class of the subjunctive mood, commands and demands are expressed: “I demanded that she walk away.”
Necessity. ... 
Proposition. ... 
Supposition. ... 
Wish.