Is carrying an unconscious female colleague for assistance considered a prohibited or permissible touch?

If the mentioned situation is a case of necessity due to the absence of mahrams or women capable of carrying the girl, then there is no sin in carrying her and what followed of touching and looking, to the extent of the need. Rather, you will be rewarded if the intention was pure and you feared Allah to the best of your ability. However, if there is someone else capable of carrying her, then it is not permissible for you to carry her, and you must repent for any looking or touching that occurred without a legitimate need.