Google Apps makes this super hard mainly because:
- Google randomly changes their user interface, so you cannot find anything that is up to date
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Google has both Google Groups and Google Business Groups which are completely different do not work the same way. This is for the base Google Groups.
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Email aliases are actually handles as Google Groups, so to create an alias, you actually go to Google.com/apps and then choose Groups. Create a group. For people who want to get the forware, make them owners or members.
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Digging deep, go to Permissions/Posting Permissions and choose Post and select Public
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Then make sure that in General Information/Posting Options has Email checked.
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Then Permissions/Basic Permissions/Post and allow Public
