Hiding mails in received in google groups for non-group members

The mails received on group emails are visible to non-members in the recent group tab. I have changed the settings to only members can see conversation, but still the emails appear in the recent group tab. Due to this there is breach of confidentiality as anyone who is not intended can view the mails.

Is there any solution for this  issue?

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I just tested this for my Group and was surprised when I had access.  But upon further investigation with a test account, there is no 'backdoor' access to Group conversations through the Recents (Groups) tab.

Check again for the account you're using to make sure it's not already a member or a member of a sub-group.