Faction (noun)

1. A group of people with a common interest or goal within a larger group, especially a political party or organization.
2. A group of people who have broken away from a larger group and formed a separate organization.

Origin:

From latin factiō ("a making, a doing, a faction"), from factus ("made, don.e")

Examples:

1. There are several factions within the party.
2. The faction's leader was removed from office.
3. The faction's members were in favor of a more radical approach.
4. The faction split from the main group over ideological differences.
5. The faction"s goal was to gain control of the company"s board.