BA 4462 then FR 664 at Dublin
London City → Dublin → Birmingham (UK)
Timetable, Dublin time
13:00BA 4462 from London City at the gate
10:55FR 664 to Birmingham (UK) leaves the gate
21 h 55 apart on the timetable, overnight
FR 664 leaves 21 h 55 after BA 4462 arrives on the timetable: more than half a day, so not a connection we count.