In this paper, the fixed-time group tracking problem for multi-agent systems with unknown inherent nonlinear dynamics is studied. A distributed tracking control protocol is introduced to ensure that the follower agents in each subgroup can track their respective leaders in a prescribed time regardless of the initial conditions. Compared with the existing works on group (tracking) consensus, we do not require the inter-group balance condition, and the leaders are allowed to interact with follower agents in different subgroups. Some conditions have been derived to choose appropriate control gains to achieve the fixed-time group tracking. Finally, numerical simulations are presented to illustrate the availability of our results.