I'm writing about a rebellion in a kingdom with an unjust government and a cruel monarchy. Like all rebellions, their goal is to overthrow the government and the ruler to bring back order. In the story, another rebellion group in the same kingdom has the same goal. However, they believe that their group is superior as they think they have better methods to overthrow the government. In general, they think they are better than the initial and main rebellion group.
Is there a term for this? If there is, it would make writing my story easier so I really would appreciate it.