'Sorority' is Latin for 'sisterhood' — from 'soror' (sister). The parallel of 'fraternity.'
A society for female students at a university or college; a body or community of women linked by a common purpose.
From Medieval Latin 'sororitās' (sisterhood, a community of sisters), from Latin 'soror' (sister), from PIE *swésōr (sister), one of the most stable and ancient kinship terms in the Indo-European family. The PIE word has survived with remarkable consistency across thousands of years and dozens of languages, suggesting that the sister relationship was linguistically codified very early in Proto-Indo-European society. The word 'sorority' was modeled on 'fraternity' (from Latin 'frāter,' brother, from PIE *bʰréh₂tēr),