The 34-year-old woman from Champimukhi village had gone to a local market on Tuesday afternoon amidst dense fog.
A group of four to five men at the market place in Nathuahat area had persuaded her to partake of a locally brewed drink, police said.
Under the influence of liquor, the woman could not ward off her attackers who fled under the cover of fog after committing the crime, police said.
The woman was later taken to Birpara hospital by the villagers where a medical examination was conducted.