In 1984, what is the least influential group in society?
The least influential group in the society that is depicted in this dystopian world is the proles, or the working class. It is clear that they, being the group in society that receive less attention from the Party and the Thought Police, are not regarded as being a threat or important in any way, and this view is reinforced through the way in which they are left to live their own lives very much the way they want to. Note how the text describes the Proles in the following quote:
If there was hope, it must lie in the proles, because only there, in those swarming disregarded masses, eighty-five percent of the population of Oceania, could the force to destroy the Party ever be generated.
The proles are therefore depicted as "swarming disregarded masses." The use of the adjective "disregarded" to highlight the position of the poles in society clearly indicates that they, out of the various social groupings in this dystopian nightmare, possess least power overall and are in a position of being deliberately kept in ignorance through propaganda and the threat of violence.