FR 338 then FR 662 at Dublin
London Luton → Dublin → Birmingham (UK)
Timetable, Dublin time
17:20FR 338 from London Luton at the gate
07:40FR 662 to Birmingham (UK) leaves the gate
14 h 20 apart on the timetable, overnight
FR 662 leaves 14 h 20 after FR 338 arrives on the timetable: more than half a day, so not a connection we count.