Captain Chris Robshaw and head coach Stuart Lancaster are set to face some searching questions about their respective futures after England crashed out of the Rugby World Cup on Saturday.

Australia, inspired by a 28 point haul from fly half Bernard Foley, secured a 33-13 win at raucous Twickenham to knockout the hosts ahead of their final Pool A clash with Uruguay in Manchester next week.

The Aussies led 17-3 at the break through Foley's double and while England winger Anthony Watson gave the hosts hope with a try on 55 minutes, Australia sealed victory through two more Bernard Foley penalties and a Matt Giteau try.

England became the first host nation to exit the World Cup before the knockout stages and Robshaw, criticised after last week's defeat to Wales, conceded there would be some soul searching in the England camp this week.

"This week we are going to have to answer some tough questions," he said in the aftermath of the defeat.

"I'm gutted. We feel like we have let a lot of people down and we feel like we let the country down. Unfortunately we came up short.

"The better team won and put us under pressure in all aspects of the game."

Lancaster admitted he would consider his future, but the ultimate decision would lay elsewhere once the dust had settled on a disappointing campaign.

"Words cannot express how disappointed we are," he added.

"We've got fantastic supporters and we feel we have let them down.

"Australia are one of the best teams we have faced in the past 12 to 18 months, so well done to them.

"Obviously I have got to consider my position, but it is not just my decision and is not one for now.

"We have to go to Manchester and put in a good performance against Uruguay.

"The responsibility and accountability lies with me."