PREVARICATE- which is rarely used and means to quibble or confuse the issue
EQUIVOCATE-which implies the deliberate use of ambiguity in order to deceive or mislead 
FABRICATE- where we invent a false story or excuse, with the intention to deceive

Omission—Omit critical information or leave out information that shouldn't have been
Commission—Actively and intentionally fabricate information--the Outright lie
Embellishment– Build upon basic truth and exaggerate or elaborate
Deflection/Transfer– Take the credit from others

Types of Lies

Mark Twain has been credited with the statement, "There are three kinds of lies: lies, damned lies, and statistics."  BUT that would be an untruth.  Twain himself gave credit to the 19th-century British Prime Minister Benjamin Disraeli.  Even that would be a myth as research has never found that phrase in the works of Disraeli.

There have been 115 different types of deception identified by behavioral science.
Those most common tend to fall into: 

Types of Liars.

Just as there are Types of Lies there are very specific types of Liars.  The more quickly one can recognize who they are dealing with the more successfully one can accurately identify the lies being told to them.  For more:
The Most common Definitions, however, are:
Outright-Total falsehood 65-67% fall within this category
Exaggerations-Overstated information 
Subtle-Used to mislead        
White Lies-Assumes lie is better than truth--Usually minor and are mostly harmless                       unless used repeatedly-- Perhaps most frequently used in relationships