οὐκ [269 verses](adv) "Not" is ou , the negative adverb for facts and statements, negating both single words and sentences.  The negative, οὐ, denies, is absolute, and objective. -- The Greek word translated as "not" is the Greek negative used to deny objective facts, not opinions. It means "no," "not," or"no truly." It makes a negative statement of fact. When a negative precedes the verb, it affects the whole clause. When it precedes other words, its force is limited to those words. 

οὐ μὴ [39 verses](partic) "Never" is ou me, the two forms of Greek negative used together. Ou is the negative adverb for facts and statements, negating both single words and sentences. Mê (me) is the negative used in prohibitions and expressions of doubt meaning "not" and "no." As οὐ (ou) negates fact and statement; μή rejects, οὐ denies; μή is relative, οὐ absolute; μή subjective, οὐ objective. -- (CW) The "not" here is both of the Greek negatives used together. Greek has two negatives, one objective, one subjective. The use of both together is more extreme, like saying, "never" or literally, "you cannot really think." When a negative precedes the verb, it affects the whole clause. When it precedes other words, its force is limited to those words. CW - Confusing Word -- The "not" does not capture the word's specific meaning.

οὐαὶ [27 verses](exclam)"Woe" is ouai, which is an exclamation of pain or anger meaning "woe" or "alas" but it can be used sarcastically. -- "Woe" is an exclamation of grief, meaning "woe" or "alas." Jesus uses it humorously. Today, we would say "so sad [for you]" or "boo-hoo to you." The word is very similar to the Jewish, "oy vey" which can be used to express sorrow but is more commonly used humorously. More about this phrase in this article on Christ's humor using exaggeration.

οὐχὶ [23 verses](adv) "Not" is ouchi, an adverb which is a strengthened negative that means "no," "no truly," "assuredly not," "not however," "nevertheless," "notwithstanding," "yet," "still," "never yet," "for not," "indeed," "for surely not," "no,—certainly not," "for I don't suppose," and "for in no manner." Sometimes it is used to create negative questions where a positive answer is expected. -- (CW) The word translated as "not" is a different form of the usual Greek negative of fact. It means "no truly," "assuredly not," "not however," "nevertheless," and "notwithstanding." Used in questions where an affirmative answer is expected. Used in answers where a "yes" must be supplied. Perhaps best translated as an "isn't it?" at the end of the sentence.  The fact that ancient Greek has no clear verb form for questions makes interpreting it difficult. This is not one of the common words usually translated as "no." CW --Confusing Word -- This is not one of the common words usually translated as "no."

οὐδὲ [51 verses](partic) "Neither" is oude, which, as a conjunction, means "but not," "neither," and "nor." As an adverb that means "not at all" or "no even" and, literally, "not, however."-- The Greek word for "neither" is is an adverb that means "not at all" or "no even" and, literally, "not, however." As a conjunction, it works as both parts of the "neither/nor" constructions.