Who are the 'asaba (agnate heirs) in inheritance, is the full sister considered an 'asaba, and must the 'asaba be men?

Taʿṣīb (agnatic inheritance) is inheritance without a predetermined share. Agnate heirs (ʿaṣaba) in inheritance are of three types: 1. Agnates by themselves (ʿAṣaba bi-l-Nafs): These are male heirs (with the exception of the female emancipator, muʿtiqah) who inherit all wealth when alone, or what remains after the Aṣḥāb al-Furūḍ (sharers) have taken their shares. 2. Agnates by another (ʿAṣaba bi-l-Ghayr): These are females whose brother makes them agnates, and the wealth is divided among them such that "the male receives the share of two females." 3. Agnates with another (ʿAṣaba maʿa al-Ghayr): This applies to the full sister or paternal half-sister when inheriting with a female lineal descendant.

The full sister is an agnate with the daughter if there is no brother to make her an agnate; otherwise, she is an agnate by another.