The technical classifications for groups of humans depend very specifically on the number of people in that group.
A party of humans works when it's about 4 to 8 humans. A tribe of humans is usually considered around 30 people from an anthropological viewpoint. A mob of humans, probably around 100. A congregation, around 80. An army.... that's debatable. Some say 1, some say millions.
But the most common name for travelling groups would be a tribe, followed by a band (as in, a band of gypsies), followed by a troupe.