All together and While

All together adverb - Used of a group whose members acted or were acted upon collectively and when `all' and `together' can be separated by other words.

While and all together are semantically related. In some cases you can use "While" instead an adverb phrase "All together".

While conjunction - At or during the time that.

All together and while are semantically related. Sometimes you can use "All together" instead an adverb "While".