Five hundred years ago, gentlemen used specialized vocabulary when referring to groups of animals. Most of the group names came from The Book of St. Albans, published in 1486. Their etymologies have been lost over the years, but why not have a guess?
A coterie of groundhogs
Around the eighteenth century, some French farmers called côtiers banded together to work feudal lands. A coterie is an exclusive group who spends time together pursuing common interests.