FR 663 then EI 172 at Dublin
Birmingham (UK) → Dublin → London Heathrow
Timetable, Dublin time
19:55FR 663 from Birmingham (UK) at the gate
15:30EI 172 to London Heathrow leaves the gate
19 h 35 apart on the timetable, overnight
EI 172 leaves 19 h 35 after FR 663 arrives on the timetable: more than half a day, so not a connection we count.