Holes in the lawn ?

Hi everybody, what do you think is making these holes, they are about 4 x 3 inches and about 2-3 inches deep.
My first thought was a squirrel, muddled about where he had hidden nuts.  Then I thought green woodpecker or magpies (we have lots of them)  Somebody suggested foxes, but there are no traces of a fox  ie:  fox poo etc.

There are about 4-5 holes in total, on a north facing lawn, and they are near the house end.

What do you think ?   Sorry cannot show 'photo - not clever enough !!!!!
regards, Mrs Bouqet

Or rabbit?  Any little droppings?

Thanks for your replies.  Definitely not rabbit, never seen one here in 30 years.   Absolutely no trace of a fox, so I think I shall have to go with the Magpie/absent minded squirrel.  Anyway thanks again.  regards, Mrs Bouquet