“It represents an evolution in American politics,” Ms. Parker said, “with voters choosing out L.G.B.T.Q. candidates as the solution to the divisiveness and dysfunction we see in Washington and in many of our state capitals.”

Overall, there were more than 430 openly L.G.B.T. people running for office at all levels of government at the start of this year’s primary season. Now that the primaries are over, at least 244 of them have advanced to a ballot in November, including some independents and candidates for nonpartisan positions, the Victory Fund said.

More L.G.B.T. women than men are running for Congress this year, the group said, including both of the L.G.B.T. people running for U.S. Senate — Representative Krysten Sinema of Arizona and Senator Tammy Baldwin of Wisconsin.

Four L.G.B.T. candidates, all Democrats, were nominated in governors’ races. For the first time, they collectively represent what the Victory Fund called “the full L.G.B.T. acronym”: Lupe Valdez, a lesbian, in Texas; Jared Polis, a gay man, in Colorado; Kate Brown, a bisexual woman, in Oregon; and Christine Hallquist, a transgender woman, in Vermont.

Many of these candidates treat their sexuality and gender identity as assets that complement their criticisms of the Trump administration or policy ideas on subjects like climate change, education or health care.