Perennial Garlic or Onion?

           

I found this clump of alliums when clearing a bed. To the best of my knowledge they've never flowered but it was obviously an allium from the smell of the leaves - which are flat, like garlic and leeks, not hollow like onions. I actually thought it was an ornamental allium.
When I dug them up, I didn't expect to find these bulbs and they're a reasonable size for eating too - I know because I've just eaten one raw! The bulb was splitting into 2 cloves and tasted like a mild garlic. 
The skins have a reddish tint. 
If anyone can identify them, I'd be grateful. I'm going to split the clump and replant somewhere random!!