Refuse to pay for their mistake

eDreams sold me a plane ticket from Bloemfontein to Cape Town. However, they issued the ticket in the wrong name, a name that does not even resemble my own. This in spite of the fact that I entered the name as it appears on the passport. I was not allowed to board the flight and therefore had a buy an additional ticket at the airline desk. eDreams refuses to refund me the full amount, equivalent to €127. They want to give me a meagre €8. This is disgusting. They keep responding that I entered the passenger details incorrectly. This is absolutely untrue. The mistake is 100% theirs, and I don't see why I should pay for it. The problem is that I paid upfront, and they now refuse to give my money back and pay for their mistake.