What term encompasses father, mother, children, and other individuals under someone's authority?

The term that encompasses father, mother, children, and other individuals under someone's authority is "family." This term is widely accepted in legal contexts and social structures to define a group of individuals related by blood, marriage, or adoption who share a household or support each other. In Louisiana, the concept of family includes all members under legal and social recognition, which can also encompass extended family members living in the same household or under the same authority figure.

The concept of "household" typically refers to the people who live together in a single dwelling, while "clan" refers to a larger group of families that share a common ancestor, which may not necessarily include those living under one authority. "Lineage" emphasizes the line of descent or ancestry, focusing more on the genealogical connections rather than the functional relationships within a household or familial unit. Therefore, "family" is the most inclusive and appropriate term for describing this group of individuals.