As a group manager, you can see which vaults have been assigned to a specific group, but not the other way around it seems.
In the overview of the vaults, each vault shows the icons of the linked groups, however those icons (usually just the default icon) are a poor group indentifier. Just an "alt" attribute holding the group name would already be a simple improvement.
1Password Version: browser app
Extension Version: Not Provided
OS Version: Not Provided
Sync Type: Not Provided