QF 7554 then AA 4434 at O'Hare
New York JFK → Chicago → Madison
Timetable, Chicago time
09:56QF 7554 from New York JFK at the gate
22:30AA 4434 to Madison leaves the gate
12 h 34 apart on the timetable
AA 4434 leaves 12 h 34 after QF 7554 arrives on the timetable: more than half a day, so not a connection we count.