Hi DawnEGM,
Thanks for coming to Apple Support Communities for help today.
It sounds like you are performing the steps correctly. Let's double-check the steps found here: Leave a group text message thread on your iPhone or iPad
"How to mute a group text message
- Tap the group text message.
- Tap the group icons at the top of the thread. If you're on iOS 14 or earlier, tap the group icons at the top, then tap the Info button
. - Scroll down, then turn on Hide Alerts.
Or, from your list of messages conversations, you can swipe left over the group text message and tap the Alerts button
. With iOS 15, When Hide Alerts is on, the Hide Alerts icon
appears next to the conversation on the right side. With iOS 14 or earlier, a crescent moon icon
will appear next to the conversation.
Hide Alerts stops notifications for a specific group text message, but not for all the messages on your device. You'll still receive all other messages and notifications. Learn more about managing your notifications."
If the steps you are performing are correct, make sure you have updated to iOS 16.2 to rule out this being related to an outdated version of iOS. Here's how to Update your iPhone or iPad.
Then, if the issue continues, please contact Apple Support for a deeper dive.
Have a fantastic day!