There is no direct way to check. You can try the below things which work for me.
1) Create groups in your SharePoint site

2)Create a custom list in user SharePoint site and add four list items as I required for four groups. In my case list name is 'Configuration'.

3) Then break the permission of all the items and provide item-level permission (No need to break list permission. Users who you will add in group should have read access on the list)

after Shared With > Advance setting and provide Read access to the "F1Org Organizers" group and remove all other groups. Do accordingly for other list items. Ex. "F1Org Admin" list item permission = "F1Org Admin" group only.
4) then in PowerApps show or hide button or control. Add your custom list as a datasource and then follow the below image. In my case list name is 'Configuration'.

let me know if you face any issues or mark this as the answer for others.