Arizona Representative Gabrielle Giffords remains in critical condition after being shot in the head on Saturday.

Six people, including a federal judge, are among the dead after a troubled young man went on a shooting rampage at a Tucson, Arizona rally outside a supermarket.

Giffords, a 40-year-old Democrat, was taken to a nearby hospital, where she remains unconscious.

Police arrested 22-year-old Jared Lee Loughner at the scene and are searching for a second suspect.

After her House victory in 2006, Giffords thanked the Human Rights Campaign (HRC), the nation's largest gay rights advocate, and the gay community for its support.

“I have stood up for equality in Arizona, and I am grateful that HRC and the GLBT community stood with our campaign during the primary and the general elections. We can accomplish so much for our families when we work together. Fairness is an essential American value, and when we champion fairness, we can win decisive victories in even the most competitive congressional districts.”

HRC President Joe Solmonese said he was saddened by the news.

“We are shocked and saddened by the events involving Congresswoman Giffords and our hearts go out to her and the other victims of this awful tragedy,” he said in a statement. “Gabby Giffords is a champion for LGBT equality and a principled leader for Arizona. We wish her a speedy recovery as our thoughts and prayers are with her family as well as with the families of all of those touched by today's horrific violence.”