Contact Form 7 Not Posting to Google Group Email Address (Google Apps)

I cannot get a contact form on this page https://fumcaustin.org/fumc-seeks-discernment-about-marriage-equality/ to post to an email address that is a Google group hosted by Google Apps. The email address is [email protected]. The form posts fine to an individual email, but not to one that is set up as a group. This email goes through the Google mail server after posting from our web server at Hostgator. Do you have any advice for me to fix this issue? I’ve read online about incompatibility with Google apps and Contact Form posts, but the posts were from several years ago so I hope there is a fix now.

Thanks so much.
Mary