If you have sharing privileges, you can use the Share button at the top of the group page to copy a short URL of the group and paste it into an email or website, embed the group into a website, and create an app with the group. If your organization allows sharing outside the organization (and you have sharing privileges), the group page also includes Facebook and Twitter buttons that you can use to share the group through your Facebook and Twitter accounts.
Share groups you own with everyone
If you have privileges to share groups outside the organization, you need to make your groups viewable by everyone before others can find them. To do this, select Everyone (public) for Who can view this group? when you create a group or update its settings. You can only embed groups that have this option selected.