Alpha designates the wolf of one gender that all other pack members defer to... they can be either M or F. there are also M and F hierarchies within wolf-packs.
(so Fs have a linear rank system, Ms have a linear rank system.)
Beta is the number-one subordinate, to whom all others except the Alpha willingly defer; after that come other wolves, generally adolescents are ranked lower than most adults, and the mating pair (there is only ONE pair that breed) is ranked by deference from all others of their gender.
IOW - the breeding F is the Alpha of all the Fs (usually) and the breeding M is the Alpha of all the Ms. there are rare exceptions; one F had her foreleg broken by a moose, and she lost her Alpha status for that breeding season, so a lower ranking F was bred, raised pups, and was Alpha for that spring/summer. by fall, the former Alpha F was healed, and resumed her prior ranking.
the whole group helps to rear the pups, who hang around for a year or two, or longer. when they are adults, they may be tolerated by their parents and stay on as aunties/uncles, or they may be chased off if they are too close in strength + status to their mom/dad.
also, any wolf who is a teen or adult can choose to leave, try to found a new pack, and be the Alpha of that pack.
status can change, and does over a lifetime; Omega is the lowest rung on the social ladder, they defer to everybody.
but wolves will continue to feed the elderly or injured of the group, and orphan pups are willingly adopted by any pack. puppies are highly, highly valued - wolves adore pups.
please see the website for Wolf Park in USA, or Isle Royale in Canada, for more about wolf pack structure - which is actually wolf FAMILY structure. one set of parents, some aunts, uncles, maybe a nephew or niece, a couple older siblings, and the current kids.
that's a pack - a multigeneration family.
Fs have an easier time migrating into other existing packs - Ms generally have to court and win a F of their own, and found a new pack.