If a group of people are rebellious, they oppose the ideas of the people in authority and plan to change the system, often using force.

rebellious groups of southern tribespeople 南方部落／人中的反叛群体

If someone is rebellious, they are difficult to control and do not behave in the way that is expected.

Her teachers regard her as a rebellious, trouble-making girl. 老师们认为她是一个不服管教、惹是生非的女孩子。