Germany beat France in a penalty shootout after their thrilling Women's World Cup quarter-final ended 1-1 after extra-time.
The Germans triumphed 5-4 in the shootout after Claire Levogez, chosen as the fifth kicker for France, saw her low shot saved by Germany goalkeeper Nadine Angerer.
Louisa Necib had put France ahead in the 64th minute but Germany equalised in the 84th when Celia Sasic converted a penalty after Amel Majri handled inside the box.
Germany will face the United States, 1-0 winners over China, next.
The clash between the top-ranked Germans and a French team placed third in the world was expected to be a memorable encounter and it more than lived up to the billing.
With the quality of the two teams it could easily have been the tournament final and the French will head home feeling they have missed out on a real chance to win their first World Cup.
"We are very disappointed because the objective was to be on the podium here. We weren't able to take our opportunities,” said France coach Philippe Bergeroo.
They certainly looked like champions during a first half in which they dominated large sections of play, with some flowing attacking football that produced several good openings.
The Germans scored all five of their spot-kicks before goalkeeper Angerer got down well to keep out Lavogez's weak attempt. "I think the team showed their character by the way they turned the switch in the second half," said Germany coach Neid.
FIFA Women's World Cup: Germany, China advance into quarters
SHOCKING! Australia knock Brazil out of Women's World Cup
FIFA Women's WC: Europeans rule the roost
Women's World Cup: Germany thrash Ivory Coast
Women's World Cup: Brazil qualify for knockouts; France shocked