Greetings, @bmayhew.
Welcome to the Community. I want to answer your question about re-ordering your report groups in QuickBooks Online.
This option is currently unavailable in QBO. You can only find, run, export to Excel, edit or delete the group reports from My Custom Reports tab.
I suggest sending feedback to our product developers for the inclusion of this option in future updates. Simply click the Gear icon at the top and select Feedback.
We always take your ideas into consideration when looking for product improvements. You can also send your feedback by going to the following link: QuickBooks Online Feature Requests. I’ll make sure to do the same on my end.
Here’s an article that tackles about this in QBO: https://quickbooks.intuit.com/community/Reports-and-accounting/How-to-memorize-reports/m-p/186380.
We’d love to hear from you. Let us know if you need anything else, @bmayhew. The Community is here to help. Take care and have a great day!