We don't currently have a way to group employees in the traditional sense, so what we recommend doing is appending some text to their name.
That way when you search employees using a filter you can search by the word you appended. Here is an example using the word "Sub":
Any areas within Buddy Punch where you're able to filter by employees, this method can be used.
To edit an employees name, just visit their profile and select the "Edit" button: