The state of Georgia requires the filing of SUI directly to their website. This is why the form is unsupported in QuickBooks.
You can create the file and export it to excel so you can submit it. To create the file successfully, you have to log in to the Account Maintenance page to validate your service key. For more information, you may check this link: Account maintenance.
To create an SUI file, here's how:
Click on the Employees menu.
Select Payroll Center.
Click on File forms.
Under Other Activities at the bottom of the page, there is a link for the E-File State SUI. This will allow you to create the file you were needing.
You can also run the Payroll Detail report and customize it to show the SUI, then export it to Excel.
For more information about several excel reports available and how to customize it, click these articles: