Forty per cent of Moroccan, Algerian and Tunisian migrants registered in Cologne have been arrested for crimes, new crime figures show.

Police figures published by Stern magazine comparing crime rates among refugees in the city – between October 2014 and November 2015 – showed that of 1,111 Syrians only five were arrested for a crime.

That is less than half of one per cent.

But of 521 Moroccans registered in Cologne the crime rate was measured at 40 per cent and for Algerians and Tunisians also 40 per cent.

Assaults: Hundreds of women were attacked by groups of migrant men in Cologne (above) on New Year's Eve. Crime figures from the city show big differences in criminality between refugees from various nationalities

Migrants unleashed a frenzy of sexual violence and robbery on women in Cologne (above) on New Year's Eve

The bulk of offences were robbery, pick-pocketing, shoplifting and thefts of and from cars.

Of 660 Afghans registered in Cologne, only four were arrested for criminal offences – 0.6 per cent – and of 789 Iraqis 19 were detained or 2.4 per cent.

'People from these countries are so far not a problem from a criminal perspective', according to a report in the magazine Forum.

Germans are gripped by a new fear of refugees after the events in Cologne on New Year's Eve when rampaging mobs of migrants unleashed a frenzy of sexual violence and robbery on 500 women.

There were similar if small incidents also recorded in several other cities including Hamburg and Bielefeld.

Revenge attacks carried out by young men against foreigners took place in Cologne at the weekend and, on Monday night, right-wing rioters trashed immigrant businesses, fought with police and torched cars in a working-class district of the city of Leipzig.

Revenge attacks: Right-wing rioters trashed immigrant businesses, fought with police and torched cars in a working-class district of the city of Leipzig (above)

Newspapers published statistics on Wednesday from the Federal Criminal Office (BKA) of immigrant crime in Germany between January and November 2015.

They recorded 186,235 offences committed by the newcomers, but it is unclear how many different people committed them.

In total, there were around 70,000 new offences in the country over 2014.

'The great mass of refugees has no criminal record,' said newspaper Bild.

Around two-thirds of the crimes were assault (23,338 cases), theft (75,600 cases) or ticket counterfeiting (26,436 cases).

The percentage of sexual offences is under one per cent: 1,462 cases including 404 rape, child abuse or 'sexual coercion' acts.

By comparison, there were nationwide in 2014 nearly 47,000 sexual offences.

In many cases, immigrants are the victims of crime – every second offence committed in asylum homes is of assault and/or robbery.

Syrians, registered in Germany as the largest migrant group – 48 per cent – were responsible for 24 per cent of the crimes.