A team is a set of individuals knit as one unit, work together, have a common goal and are coached as a unit. A group, on the other hand, is a set of individuals, who, are not necessarily connected but have a common problem. Though the goal is the same, the paths to the goal are different and individuals are coached based on their pace, requirement and attention.
A group is a set of individuals who complain of an inability to manage time for work and could be put together in a coaching setting. The way to get to the resourceful state may vary but the end goal of time management is common to all of them.
A team, say, your work team in the organization has certain targets, issues, and commitments that are unique for the team, that have to be addressed as a team. This is where team coaching steps in.
Having straightened that out, it is imperative for teams to draft a team agreement that can act as a compass at the beginning of every team coaching engagement.