IKEA Patrull Bathtub Mat, Crocodile Green

Does the mat have a hole in the tail to hang it? From the pictures it seems that there are only holes for the eyes..

How wide is the hanging hole? I need to order a hook to hang it on (before I order the mat) and want to be sure it will fit. Thanks.

Is the suction strong enough to hang it on the tile wall after use or do you specifically have to hang it using the eye holes?

does it come in a bag? (it is for a present)