E-Mail is required for a group to send trigger based mails.
However, as you named it “nicht zugewiesen” I’m not sure if you’re mixing things up, because it smells like you want it to be a overview like a “folder” in your outlook.
If this is the case, you might want to check out our overviews:
https://admin-docs.zammad.org/en/latest/manage-overviews.html
Please provide more input.
Zammad ignores mails that it detects as being auto generated or submitted.
This also affects mailing list mails or distribution list within Exchange.
We had this topic one or two weeks earlier, if you’re interested in why and how this happens, you can take a look at this article:
Further up in the above thread you can find a eml of the user that shows where to look at.