AA 4264 then DL 1556 at O'Hare
Sioux Falls → Chicago → Los Angeles
Timetable, Chicago time
09:02AA 4264 from Sioux Falls at the gate
07:45DL 1556 to Los Angeles leaves the gate
22 h 43 apart on the timetable, overnight
DL 1556 leaves 22 h 43 after AA 4264 arrives on the timetable: more than half a day, so not a connection we count.