Instagram Help Center

You can rename group conversations of 3 or more people. To rename a group conversation in Instagram Direct:

1. Tap in the top right of Feed.
2. Tap the group conversation you'd like to rename.
3. Tap the group name at the top, then tap it again to edit it.
4. Enter a new name for the group conversation, and then tap Done.

Keep in mind that people included in the group conversation will be able to see that you've renamed it.