Captain and star striker Jann-Fiete Arp (7th and 65th) struck twice while Yann Bisseck (39th) and John Yeboah (49th) scored a goal each to help Germany reach the quarterfinals.
Germany, whose best show in the tournament has been a runners-up finish way back in the first edition in 1985, now face the winners of the pre-quarterfinal match between Brazil and Honduras on October 18 in Kochi in the quarterfinals to be played in Kolkata on October 22.
Germany had struggled to get the goals against their opponents in a relatively easier Group C but their strikers had a field day today, taking cracks at will as the Colombian defence put up an apology of a performance.
All the goals scored by Germany were defensive bloopers committed either by Colombian goalkeeper Kevin Mier or the back four.
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On certain occasions, the defensive mistakes reached upto comical proportions.
The Colombians, who had broke Indian hearts beating hosts 2-1, had finished second in Group A but today was a forgettable night.
Their right winger Juan Panaloza, who scored both the goals against India, had an off day as he was checked by the German defenders for most part of the match.
Their another key player Leandro Campaz did not start the match and by the time he was introduced in the second half, Colombia were already 0-2 down.
In the second session, he initiated some dangerous moves from the left flank but did not trouble the German defence much.
The well-built Germans did not allow the Colombians to play their passing game by using long balls and winning most of the aerial duels.
Their right winger Yeboah and his left counterpart Dennis Jastrzembski were outstanding with their dangerous runs down the flanks while Arp was as deadly as ever. The Colombians simply wilted under pressure.
Arp, who recently made his Bundesliga debut for Hamburg, took his tally of goals to four with twin strike. He had scored two goals out of his side's five in the group stage.
Germany took an early lead to seize the initiative in the match. From a Yeboah through pass, Arp found himself in a one-on-one with goalkeeper Mier.
Colombia soon had a very good move in the 14th minute and Robert Meja's left-footed grounder from a difficult angle just missed the right post.
Colombia were having more possession at that time but the Germans were dangerous in counter-attacks. The Colombian defence were found shaky on many occasions.
In the 10th minute, in a mix up, the Colombian goalkeeper Mier lost the ball well outside his zone but luckily he recovered and collected the ball.
Yeboah himself had a fierce left-footed shot in the 34th minute which beat the goalkeeper but was denied by the crossbar.
The second German goal came in the 39th minute as the Colombians allowed an umarked Yann Bisseck to make a powerful header from the centre of the box to the bottom left corner off a net from a corner taken by Shaverdi Cetin.
The Germans continued their domination in the second session also and they took no time in made it 3-0.
The fourth German goal was a defensive howler as Guillermo Tegue kocked the ball onto the body of Arp while trying a backpass to his goalkeeper.
The German striker stole the ball from Tegue and muscled into the box beating the hapless goalkeeper to complete the rout.