As an administrator, you have access to the group's data and mobile list.
Click the 'Mobile Messages' tab to view a list of all mobile messages that have been created that target the group's list with the date they were sent, who created the mobile message, statistics, and links to duplicate, edit, and manage each.
You can download your mobile message statistics here too. The download will include each message you've sent, with various information about the mobile message, like the title and statistics. You can select a start and end date for the report as well.