For starters, let's talk about what the difference is between a Facebook page and a Facebook group. A Facebook page can also be called a Fan Page, Like Page or Business Page. A Page is essentially your online proof that your business exists because it serves as an official profile. Much like your virtual "home." Also, a business can't have a Facebook page without a personal Facebook profile. A page is about making connections on Facebook and is not limited to your friend list. Essentially, it increases the potential of non-friends (aka "cold prospects") to find and follow you online.
A Facebook page is reserved for businesses, public figures, brands or products, communities, organizations and other entities to create a public presence on online. Unlike your personal Facebook profile, a Facebook page is visible to everyone online automatically by default. Which means, you, and every other person on Facebook can connect with a Facebook page by becoming a fan to receive their updates in their newsfeed. By connecting, you're building the know, like, and trust factor with your followers on your page.
A Facebook group is slightly different. Facebook groups are the place to be to communicate with other people who share common interests and express the same opinions as you. They allow people to virtually come together as a community around a common cause, issue or activity, to discuss issues, post photos or other relevant content, and share related content from online. A group is a "small town" community.