How To Hide Facebook Profile From Facebook Group?

I want to join a few facebook groups. I know that in every facebook group, you can click on members and then browse through all the members. Is there a way for me to hide myself from the group so nobody would know I'm in the group? I would however speak to a few people in that facebook group and contact them though. Say someone made a comment on that facebook group and I say I will send you a message... well that message will obviously be visible to everyone else in the group browsing it right? Of course it would be to that person I am replying to because when you reply to that person comment... well it would show their name as well.


I had noticed in some facebook profiles, some people locked their profile so you can't look at anything. However, if that person is in the same facebook group you want to join, does that mean you can find their name if you browse the members of type their name in the member box? I want to remain private only with the very few people I want to contact there.


And is there a way to where if someone makes a post or comment in the group, you comment to it and the person making a comment notices the comment but no one is allowed to see the comment in the group? Like say they are advertising something whether selling something and you are interested. You would reply I am interested, can you send me more info? But that is only visible to that person and not anyone else in the facebook group or that isn't possible? I want to contact a few people to ask them about certain products and send them a private message but I do not want any members in the group to see the post to them nor know I'm in the group. Can someone tell me if it's possible for me to do the last 2 things?