In real life wolves have four social classes. They are Alphas, Betas, Gammas, and Omegas.
They widely believed to be alpha, and there are only one pair, a male and a female, who are the first to get to eat and breed. This is another way to tell who can breed.
Betas are not really shown, but if you are a beta, you'd have some personality, and also would love to hunt.
These are generally not shown.
These are the 'lovable' types. They love to have fun and hang out with buddies. They are not much of hunters.