Greatest possible genetic difference between a male and female of the same species?

Nature does some pretty interesting things with gender:

This is a female trilobite beetle.

Scientists have observed females extensively, yet for decades, scientists could not identify the male triolobite beetle. Of course there had to be one, as the females cannot reproduce asexually - but the males had never been observed until recently because they look completely different.

This is what a male looks like.

While nature can produce some extreme circumstances like these, I'm interested in pushing it farther. In a relatively complex, but not necessarily intelligent, two-gendered species,

What can be the greatest possible genetic difference between males and females, and

What are 'cheaty' ways to make them even more diverse?

posted over 7 years ago

Zxyrra‭

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