Divergent factions

Abnegation 

blamed selfishness for human nature's errors

serving others instead of themselves

incorruptible due to their commitment to selflessness

Not allowed to stand in front of mirror

Simplicity of houses, clothes, hairstyles mean they forget themselves and to protect them from envy, vanity and greed, which they consider selfishness 

Dauntless

Cowardice

freedom from fear, and test this daily by attempting death-defying feats.

Hinders their ability to uphold the virtues of their faction 

Celebration of death. With drinking. 

It is considered a dangerous job, but it is also a necessary one and it seems likely that this is part of the reason no other faction has a disagreement with Dauntless

easy to remain brave if you were raised in a similar manner from childhood.

• We believe that justice is more important than peace.
• We believe in freedom from fear, in denying fear the power to influence our decisions.
• We believe that pain and death are better than cowardice and inaction because we believe in action.
• We do not believe in living comfortable lives.

Erudite 

Human ignorance 

susceptible to moral corruption as knowledge leads to lust for power. 

Believe that Abnegation are secret-keepers who are not nearly as selfless as they seem

The faction produces most of the city's librarians, doctors, scientists, and teachers. They are responsible for keeping records of the city and the factions. All technological achievements that the factions benefit from came from Erudite minds

1. "Ignorance" is defined not as stupidity but as lack of knowledge. Lack of knowledge inevitably leads to lack of understanding.
2. Lack of understanding leads to a disconnect among people with differences.
3. Disconnection among people with differences leads to conflict.
4. Knowledge is the only logical solution to the problem of conflict.

Science - devoted to innovation and progress

Amity

Give freely, trusting that you will be given what you need

Amity sources food 

Peace between Amity and Dauntless can only happen when we maintain our distance from each other

Candor 

charm is unnecessary and politeness is deception in pretty packaging.

If the person reveals all of their secrets, he has no desire to lie about anything because the worst is already in the open

Impartiality

Others

Erudite - fight for power

Candor and amity