Bisexuality Support Group
Bisexuality is a sexual orientation which refers to the aesthetic, romantic, and/or sexual attraction of individuals to other individuals of both their own and the opposite gender or sex. Most bisexuals are not equally attracted to men and women, and may even shift between states of finding either sex exclusively attractive over the course of time.

www.reddit.com/r/ainbow
http://www.dailystrength.org/c/Lesbian-Relationship-Challenges/support-group
Friends of Gays and Lesbians: http://www.dailystrength.org/c/Families-Friends-of-Gays-Lesbians/support-group
Gay and Lesbian Teens: http://www.dailystrength.org/c/Gay-Lesbian-Teens/support-group
Coming Out: http://www.dailystrength.org/c/Coming-Out/support-group
Gay Men's Challenges: http://www.dailystrength.org/c/Gay-Mens-Relationship-Challenges/support-group
and Gay Parenting: http://www.dailystrength.org/c/Gay-Parenting/support-group
So, there is not one general LGBT group but many divided groups. Hope this helps.