(Most characteristics are made up by me)

ALPHA: 

Eyes: Red/ Orange (if the wolf is a heir)

There can be more than one Alpha (usually two) and usually they are much bigger than the other wolves in he pack. Alphas rarely submit the wolves to their power, instead, they are the wolves to submit infront of them, knowing that Alphas are the most powerful, astute and wise of all the members in the pack.

An Alpha has immense magical power and to win this title, a wolf has to be born heir or fight against the current Alpha, killing or submitting him.

BETA:

Eyes: Yellow/Golden/Amber

Betas of common members of the pack, and usually are hunters, warriors, sentries or guards. They are less stronger than an Alpha, but more stronger than an Omega.

To be a Beta, the wolf has to have the consent from the Alpha to join the pack, or has to be born from two Betas as parents.

OMEGA:

Eyes: Blue/Light blue/White

Commonly known as the solitary, to be an Omega, the wolf has to chose to leave his own pack or has to be expelled from the Alpha.

Omegas are the less powerful (physically) of all the wolves in the hierarchical staircase, but their magical power is (for now) unknown.