Yes, that's indeed the case. A bit of background: Every object has a "group of symmetries". The smallest and easiest groups are those groups which contain only

Yes, that's indeed the case. A bit of background: Every object has a "group of symmetries". The smallest and easiest groups are those groups which contain only a single element, in case of symmetry groups the trivial identity symmetry. All those one-element groups are also referred to as "the trivial group". By abuse of language, we sometimes say that a object has "no" symmetries if it only has the trivial one.