FR 663 then EI 178 at Dublin
Birmingham (UK) → Dublin → London Heathrow
Timetable, Dublin time
19:55FR 663 from Birmingham (UK) at the gate
18:30EI 178 to London Heathrow leaves the gate
22 h 35 apart on the timetable, overnight
EI 178 leaves 22 h 35 after FR 663 arrives on the timetable: more than half a day, so not a connection we count.