Based on these words and their meanings, "soci-" or "socio-" MOST likely mean "living with others".
Explanation:
The meaning of the root socio from the Latin socius means "companion or associate", applying this meaning to the words "sociology" and "antisocial" and taking in consideration the definition of them, it is more related to the term society, which mean living and interacting with others, the definitions of the examples include the word community that reinforces it.