Best way to get through the group stages is to be pro-active, but not overbearing in the group discussions, don't let your gob run away with you.
Say what you have to say, but also give others a chance to say their bit too, and if there is a quiet person in the group, get them involved - they love that.
Also accepting that what you said might not have been the best solution in the scenario and being able to admit that yes, there may have been a better way that someone else has come up with, and aknowledging that too.