The lawsuit was filed in Santa Clara County Superior Court and comes five months after Google fired Damore for writing a 10-page memo entitled, "Google's Ideological Echo Chamber".
"Damore, Gudeman, and other class members were ostracized, belittled, and punished for their heterodox political views, and for the added sin of their birth circumstances of being Caucasians and/or males", the lawsuit said.
Google fired Damore after he wrote a 10-page memo titled "Google's Ideological Echo Chamber: How bias clouds our thinking about diversity and inclusion".
In response to the lawsuit, Google kept it brief.
Google said it fired Damore for violating the company code of conduct and advancing "harmful gender stereotypes in our workplace".More news: Oil dips away from 2015 highs as doubts emerge over rally
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The lawsuit claims that Google is guilty of mistreating and terminating employees whose views deviated "from the majority view at Google on political subjects raised in the workplace". In that missive, Damore criticized Google for pushing mentoring and diversity programs and for "alienating conservatives".
Gudeman was sacked in December 2016 after a confrontation with a Muslim coworker on an internal Google forum, according to the lawsuit.
In it Mr Damore said Google discriminated against white men and conservatives, and said that people needed to stop assuming that gender gaps in industries implied sexism.
Attorney Harmeet Dhillon, who is a national committeewoman for the Republican National Committee, said "dozens" of current and former Google employees have reached out to her firm after learning she is representing Damore because they've suffering similar discrimination. It also claimed that "men and women biologically differ in many ways" and "women generally (have) a harder time negotiating salary, asking for raises, speaking up and leading". "Google has engaged in some shocking activities in my opinion".
The suit alleges Google is aware of the situation but has not moved to fix it. Any managers whose workforce didn't include 50 percent women were publicly shamed-and so, according to Damore, were the white male employees hired in their place.