The match received the biggest TV audience of the competition to date, with a peak audience of 7.4 million and a peak audience share of 65%.
It also generated nearly three million online streams across BBC iPlayer and the BBC Sport website, while there were 8.3m views on the website’s live text page.
The Lionesses, defending their European title, fought back from 2-0 down to force extra time and penalties in Zurich thanks to second-half goals from Lucy Bronze and Michelle Agyemang.
England then won a chaotic penalty shootout 3-2, with Bronze, their seventh penalty taker, converting decisively before Sweden missed and were eliminated.
The result for England sets up a semi-final meeting with Italy in Geneva on Tuesday, 22 July.
Alex Kay-Jelski, director of BBC Sport, said: “I was biting my nails on the sofa with the rest of the fans. What a win for the Lionesses!
“We can’t wait for Tuesday. We’ll be bringing fans closer to the action with full commentary and analysis on BBC Radio 5 Live, the BBC Sport website, and the BBC Sport app.”
BBC Sport is broadcasting one of the semi-finals along with the final on Sunday 27 July. Every knockout game is available to listen to live on BBC Radio 5 Live and Sounds.
