Sort Grouped Rows

I'm sorry if this question has already been answered. I've been searching for a solution to this problem and can't find anything that works. I also can't find an intelligible way to write the issue I'm having so if you need further clarification let me know.

I have a workbook (Sort Test.xlsx) where multiple rows belong to the same "group". Is there a way to sort by a value (e.g. name of the test, date of the test, etc.) while maintaining the formatting and keeping the "groups" together? There are 3 sheets in the work book. The first shows the sheet as is, the other two are examples of how I would like to be able to sort the data.

Thanks for the idea unfortunately it doesn't work for me. That's what I was originally trying, but I tried again using your steps exactly and it still doesn't work. It usually just doesn't sort at all although occasionally it will sort but won't keep the grouped data together (I can't make that happen again so I don't know what I'm doing differently). Is it possible I'm overlooking a setting or is there a different way to handle this?

Thank you for the [1] and [2] trick for collapsing/expanding I never even realized that was there!