The following article on traditional Chechen social organization was (rather surprisingly) copied from the website of the Multicultural Autonomies in Latin America project (
link).
Alexej Klutschewsky, Traditional social organisation of the Chechens
—Patrilineages with domination and social control of elder men
The Chechens have a kernel family called dëzel (дёзел) [There are different systems of transcription and/or transliteration for the Chechen language. The forms here could be inconsistent], consisting of a couple and their children. But this kernel family is not isolated from other relatives.
Usually married brethren settled in the neighbourhood and cooperated. This extended family is called "ts'a" (цIа - "men of one house"); the word is etymologically connected with the word for "hearth". The members of a ts'a cooperated in agriculture and animal husbandry.
Affiliated ts'a make up a "neqe" or nek'e (некъий - "people of one lineage"). Every neqe has a real ancestor. Members of a neqe can settle in one hamlet or in one end of a village. They can economically cooperate.
The next group of relatives is the "gar" (гар - "people of one branch"). The members of a gar consider themselves as affiliated, but this can be a mythological affiliation. The gars of some Chechen groups function like taips (s. below).