The word people, is so very general, that it cannot be connected with a determinate number; as for instance, four, five, or six people; but that of persons may. To be pleasant at table, none should be admitted but people of good humour: neither should there be more than seven or eight persons.

To try and answer your actual question, if it is really a team of five people as opposed to five unconnected individuals then you would say, 'a five-person team'. If you are referring to five people amongst many others you could say, 'five people in the IT Department'.

The best words to refer to a group of 5 people are “quintet,” “fivesome,” and “group of 5.” It’s common for people to use words like these to refer to exact numbers. These are the most suitable choices, and they work well when five people are present in a situation.