I am a member of an equal rights advocacy group within my company. We discuss equality issues in the workplace (woman's rights, LGBT issues, equal pay, disabilities concerns, etc) and work with management to ensure our company creates a non-hostile environment and is an equal opportunity employer. I've always been a huge advocate for full equality in the workplace.
Recently, I learned that our company had special designated areas called "New Mom's Rooms". Seeing that as being not equal, I presented to the group that we should create a "New Dad's Room". My rationale was that fathers are just as important to raising children, and they should be equally entitled to a safe space to recover from the stress of having children. I said it was not fair that a new father had to endure sleepless nights, while a new mother could come into the office and unwind and nap whenever she needed. I also brought up the great disparity in our company between paid maternity leave and paid paternity leave.
It wasn't until after I gave my presentation that somebody pulled me aside and explained the "New Mom's Room" was intended for breast feeding women to be able to have privacy while pumping. That instantly made sense to me, and I was immediately horrified when I realized the extent of my incredibly stupid and (possibly offensive) presentation.
That was 3 weeks ago. The group has largely ignored my presentation, and hasn't brought it up again. I'm extremely embarrassed and would like to move on, but I also realize that I probably owe the group an apology. (The CFO was also in attendance, which makes it even more awkward).
What is the best way to approach this situation and apologize, while not drawing attention to my embarrassment? Or is it best just to let it go and pretend like it never happened?