Make groups of database connections
Answered
Is there any way to make the groups of database connections in DataGrip as it can be done in Navicat?
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Now it's supported via Move To Group action. To do that press F6 on the data source.

As a workaround, you can use different colors for datasources:
Configure it from Datasource context menu:
You can follow https://youtrack.jetbrains.com/issue/DBE-77 for a related request.