Hello Fufriesusch58
It is not possible to travel with such a large group with bikes on the train. Most of the trains do not have a sufficient number of bike spaces available for so many people. It is logistically simple not possible.
You could send the bikes using SBB, but this will take three days. Or, you could organise a bike transport by hiring a private transport company. Or, you change travel plans. Or, the most economic way: rent the bikes in Switzerland.
Kind regards,
Roland