AA 1538 then AA 2628 at DFW
Madison → Dallas-Fort Worth → Omaha
Timetable, Dallas-Fort Worth time
09:42AA 1538 from Madison at the gate
21:49AA 2628 to Omaha leaves the gate
12 h 07 apart on the timetable
AA 2628 leaves 12 h 07 after AA 1538 arrives on the timetable: more than half a day, so not a connection we count.