FR 123 then FR 660 at Dublin
London Gatwick → Dublin → Birmingham (UK)
Timetable, Dublin time
10:10FR 123 from London Gatwick at the gate
06:40FR 660 to Birmingham (UK) leaves the gate
20 h 30 apart on the timetable, overnight
FR 660 leaves 20 h 30 after FR 123 arrives on the timetable: more than half a day, so not a connection we count.