Olivia Marks-Woldman, chief executive of the Holocaust Memorial Day Trust, said:
We are deeply concerned by the lack of understanding among the population as a whole, and in particular the younger generations.
This research shows our work is more important than ever.
Genocide is not something that takes place by itself - it happens when a set of circumstances occur or are created, when racism and discrimination go unchecked and are allowed to divide communities.
A lot has been achieved, but there's plenty still to do to ensure that history does not repeat itself.
More top news
A police raid uncovered what is believed to be cocaine that had been stashed in nappies, and 40 cannabis plants.
The prince attended the rugby match in his role as patron of the Invictus Games Foundation, the official charity for this year's game.
The prime minister pitched her comments firmly towards unionists in her first campaign visit to Scotland ahead of the general election.