And group is defined as containing all individuals with the relevant parameters incommon if thenotion of individual is atomic. It really doesn't make a difference logically. These two perceptions make a difference when some of us use one system and some the other. Many people I know are anarchists or libertarians. They hold that each individual should live freely without governance from others who claim to know better.
Society becomes an emergent property of the interactions between individuals.
A group with one voice is perceived as a gang or a cult as much as anything else. On the other, hand for those who claim that society comes before the individual, the person claiming to be an individual seems to be deluded, and in strong denial of their group status.