FR 663 then EI 184 at Dublin
Birmingham (UK) → Dublin → London Heathrow
Timetable, Dublin time
19:55FR 663 from Birmingham (UK) at the gate
19:45EI 184 to London Heathrow leaves the gate
23 h 50 apart on the timetable, overnight
EI 184 leaves 23 h 50 after FR 663 arrives on the timetable: more than half a day, so not a connection we count.