Google has a lot of this information publicly available and broken down in further categories than the ones you mention; worth taking a look at
https://www.google.com/diversity/
Apple as well:
https://www.apple.com/diversity/
Microsoft:
https://www.microsoft.com/en-us/diversity
The numbers in a lot of these situations are only, unfortunately, at a level that we can't really get a lot more than raw count from. This tells us nothing about the pay gap problem and in general causal effects for exodus. If there is substantial evidence that pay is widely different between groups for the same exact job role (and there is a great deal of evidence that is the case); then it would be far better to have that data on hand.
Glassdoor appears to have some good metrics on this and I came across this article that at least describes these discrepancies across a few high profile companies.
https://www.geekwire.com/2014/stats-gender-pay-gap-microsoft...
It is notable that Microsoft appears to be far better than everyone else at ensuring equal pay between genders.
Also you can take a look at Glassdoor's overall research on the gender pay gap data:
https://research-content.glassdoor.com/app/uploads/sites/2/2...
This seems about right here:
"The single biggest cause of the gender pay gap is occupation and industry sorting of
men and women into jobs that pay differently throughout the economy. In the U.S.,
occupation and industry sorting explains 54 percent of the overall pay gap—by far the
largest factor. For example, Census figures show women make up only 26 percent
of highly paid chief executives but 71 percent of low-paid cashiers. Past research
suggests this is due partly to social pressures that divert men and women into
different college majors and career tracks, or to other gender norms such as women
bearing disproportionate responsibility for child and elderly care, which pressures
women into more flexible jobs with lower pay."
Indeed, just from the above study, it's easy to conclude that the numbers alone are more reflective of the state of public policy issues and a lack of salary transparency across firms.