FR 338 then FR 660 at Dublin
London Luton → Dublin → Birmingham (UK)
Timetable, Dublin time
08:55FR 338 from London Luton at the gate
08:20FR 660 to Birmingham (UK) leaves the gate
23 h 25 apart on the timetable, overnight
FR 660 leaves 23 h 25 after FR 338 arrives on the timetable: more than half a day, so not a connection we count.