By Phil Dawkes - BBC Sport
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That is it for our coverage of the second Euro 2012 quarter-final. If highlights and action replays are your bag you can find them all either on this website or BBC TV. This includes a full re-run of the match from 22:30 BST on the site and highlights on Match of the Day from 23:30 BST on BBC One. You can join Tom Rostance tomorrow for the tournament's third quarter-final between Spain and France. All that remains is for me to wish you a good night. I'll see thee.
Germany manager Joachim Loew: "That was a class performance from the team to reach the semi-finals for the fourth time in a row.
"We can be proud of the team, it was clear that the Greeks could make something out of nothing.
"We failed to take an early lead, but we did not panic.
"There were a few changes and I thought I had to change things after three wins."
German striker Miroslav Klose edged one goal closer to a personal milestone as well this evening by scoring his 17th goal in a European Championship or World Cup match. He is now just one behind the record held by compatriot Gerd Muller.
Kareem Jubril on Twitter: (external) "Everybody talking about Spain like France are another Greece. I can't wait for the men in blue to start celebrating in 24 hours."
Antony Walker on Twitter: (external) "There are 450,000 German fans on the fan mile in Berlin tonight."
Germany achieved a very notable landmark tonight. They set a new world record by winning 15 successive competitive matches, having previously shared the mark of 14 with Netherlands and Spain.
They also maintained their proud record of never having lost a European Championship quarter-final. They have now reached the last four of this tournament on seven occasions. Damn them and their consistent achievements.
Greece defender Sokratis Papastathopoulos added: "Maybe we could have been a bit more careful but we fought hard, we fought for the whole of Greece.
"We made it to the last eight and this is very important.
"The Netherlands didn't make it and we are talking about a very big country in football terms."
Greece's Dimitris Salpigidis was proud of his country's performance: "When we conceded a second goal we had to open up and that cost us," Salpigidis said. "I hope the Greeks got some encouragement from watching us fighting."
"We scored twice. We did what we could."
Germany captain Philipp Lahm says his side can improve on their performance: "We made it unnecessarily difficult for us. We had huge chances to go into the lead in the first quarter hour.
"We got into the lead and then gifted it away. We were too slow at times and made too many simple mistakes but the important thing is that we're in the semi-finals
"We started very good in the first quarter hour and had our chances. We all played well up front. We can be very satisfied with this victory."
Germany march on. They now lie in wait for the winner of the quarter-final between England and Italy, who play on Sunday. The semi-final will be played in Warsaw on Thursday, 28 June.
So Greece's Euro challenge is over. They will consider their campaign a success, especially as they were not expected to get out of the group. Anything after that was a bonus. They didn't shame themselves tonight, either. They were simply outplayed by a vastly superior side.
Steven Bache on Twitter: (external) "Can somebody please confirm how good Sami Khedira is? Star man tonight! Covers every blade of grass!"
Sion Evans on Twitter: (external) "First time I've seen Germany in the Euros, impressive. Would they create chances against Spain? And would they finish them?"
According to Opta, Germany had 75% of the possession in the game. 75%! That is three-quarters of the game! They also made 709 passes to Greece's 220, had 26 attempts to Greece's 10 and won the corner count 10-1. It was men against foetuses out there.
Jack Evripidous (external) "Not sure why everyone's hyping the Germans. Let's face it, the difference in class is comparable to Man Utd v Accrington Stanley."
Lee Clark on Twitter: (external) "Yes Germany looking tasty, but it's Spain's tournament to lose. When they step it up a gear, even Germany will look average."
Jeff Powell on Twitter: (external) "The Beautiful Game? So Germany are the new Brazil? So the football world turns."
BBC Sport's stats man Alistair Magowan on Twitter: (external) "Schweinsteiger & Ozil completed 235 passes, 15 more than whole of Greece team. Avg positions for 2 teams will be interesting."
It is not easy to pick out a star performer in a team full of them, but who do you think stood out for Germany tonight?
There is Marco Reus, who was incisive and scored a belter of a goal, Miroslav Klose, who again demonstrated his predatory instincts, Andre Schurrle, Philipp Lahm, Matts Hummel, I could go on...
... and I will for one more player: Mesut Ozil, a man who makes everything look simple. You barely notice his involvement with the speed he moves the ball around, but he is central to so much that is positive about Germany.
Mareen Anthony on Twitter: (external) "Germany have so much talent in their team. Gotze, Reus etc can't even make the first 11. Dangerous."
Jack Sears on Twitter: (external) "I think England can be better than this Germany side in four years' time with Chamberlain, Cleverley, Wilshere, Barkley, McEachran."
I think it is fair to say that 4-2 flatters Greece. It was the Greeks spirit (and a moment of class from Dimitris Salpingidis) that got them their two goals. Beyond that it was all about Germany, who, lest we forget, rested their first-choice front three today and still battered the opposition. On another day they could have had eight. That players like Reus, Schurrle and Klose are second choice tells you everything you need to know.
"You often get a 0-0 that you really enjoy, but I have not seen a six-goal game that I have enjoyed less than this one - after that first half."
The German players lap up the support from their fans in the Gdansk Arena. There are smiles, but it is contained joy. They know this only one part of a bigger job. The Greeks are crestfallen, though. Yes, they were huge underdogs in this game, but it still hurts to exit a big tournament.
"Germany have won at a canter. There was complacency to change the front three and it didn't work out for them at first. When Greece got back to 1-1, you feared for them but then there were quality goals from quality players. That put the game beyond doubt. Germany are good, but they are not brilliant."
The Germans have been a bit complacent at the end here. It is understandable considering the scoreline, but it won't please coach Joachim Loew. They are still going to win here, though, and book a semi-final spot. And it can't take away from how impressive they have been.
George in Bristol, via text: "Is the Greek keeper using a jersey made from trampolining material? I have never seen so many shots bounce off a keeper's chest at this level that should be comfortable saves."
Rob in Sussex, via text: "Russia must be looking at this and thinking how on earth did we lose 1-0 to the Greeks?"
"Greece have shown that Germany can be got at. That will give England or Italy some hope against them. It's not a completely perfect German team. They are very good going forward, but players like Badstuber and Boateng (if he plays in the next game) can be got at, they are vulnerable at times."
Dimitris Salpingidis makes no mistake, tucking his penalty in to the right-hand corner of Manuel Neuer's net as the keeper dives left. It is nothing but a consolation for the Greeks.
Vassilis Torossidis's cross from the left strikes Jerome Boateng's arm as he turns away from the ball in the box. You can't dispute that it struck his arm but he wasn't looking at the ball. I think that is harsh.
Great turn of pace from Girogios Samaras. It takes him past Mats Hummels and into the box, but the defender recovers with a superb tackle that cleanly whips the ball off Samaras' foot. He is a class defender Hummels. Just another top draw player in a world class side.
Alex Ramshaw on Twitter: (external) "Are you watching this, Spain?"
IDexter on Twitter: (external) "This kid Reus has really been a revelation for Germany tonight. He gets the goal he deserves too."
Danny Cunningham on Twitter: (external) "Everyone loves this German team and has done for years now. If you don't cheer them on in a neutral game you have no soul!"
Still Greece plug away. Giorgos Fotakis strikes from distance and it is goalbound but straight into the arms of Manuel Neuer. It gets a warm round of applause, mainly from the Greek fans who continue to vocally back their team. Great support.
"A standing ovation for Klose and rightfully so. He is so unfussy as a player, he leads the line well, brings others into play and he can still finish."
Mario Gomez almost has a goal with his first touch. Mesut Ozil dances through to the edge of the area and shoots but Michalis Sifakis blocks. Gomez looks to follow-up but is just second to the ball. The German was offside anyway.
Two goalscorers off, your top-scorer and hottest young talent on. Scary.
Giorgios Samaras looks to give the Greeks what would surely just be a consolation, but he curls his effort from 25 yards well wide. His heart doesn't look in it at the best of times, but he might as well be sat at home right now.
"I've got a feeling this is Germany's year, it's their time."
"Germany are like a machine. They have a knack of getting results and putting in performances when they are not playing well. The incredible thing is the team is so young - they could be together for the next three or four tournaments."
Scott in Nottingham, via text: "I don't know how this will go down coming from an Englishman, but I love watching this Germany team and I am cheering every goal they score."
Anon, via text: "I am not sure if it's just me, but I see resemblance of Fergie when Merkel celebrated Germany's goal!"
Wow. What a hit! Miroslav Klose is played in by Mesut Ozil but his shot is blocked by Michalis Sifakis, but this only loops the ball back to Marco Reus to blast a volley off the underside of the bar and in. That was a strike that screamed confidence. The Greece goal seemed to have given them hope but in truth all it did was reawaken the Germans. This could now get embarrassing for the Greeks.
"The stadium is bouncing now but you have to say it's a huge error from the keeper. He's miles away from the ball."
"That's game over, I cannot imagine Greece can score two more goals. In fact, I think we are on course for a thrashing."
"If England do get through and play Germany in the semi-finals, I expect we will see a different Germany team that starts the game."
Klose has another chance to add a 65th international goal, but he fires his shot from an angle on the right wide. Greece look spent now, while Germany are surging with belief.
I said the next goal would be key and surely now that is game over. It is a simple goal as well. Mesut Ozil's free-kick from the right draws out the Greek keeper but he gets nowhere near and Miroslav Klose rises to nod home. Poor marking from Kyriakos Papadopoulos, but a superb finish. That is Klose's 64th international goal in the country of his birth and it surely books them a semi-final spot.
"A super goal. He had a couple of efforts in the first half and he's in the right place again breaking from midfield. Excellent technique, he caught it superbly but it's a loss of concentration from the Greeks."
"What a fantastic volley, he watched it all the way. It was a great chip into the box from Ozil and how Khedira hit that with his right foot, I have no idea. That technique is incredibly difficult to do."
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