そうすると

Common wordFreq.FrequencyTop 20,000

Meanings

if you do that; having done that; in that case

A conditional or sequential phrase meaning 'if/when one does that' or 'having done that'. It connects an action to its result or next step.

そうすれば
そうすれば stresses the conditional 'if you do that' meaning more strongly, while そうすると can also express a natural, almost automatic consequence.
そうしたら
そうしたら is more colloquial and common in spoken Japanese, whereas そうすると sounds slightly more formal or literary.
するとN4
すると is a shorter, more narrative connector meaning 'then/whereupon', while そうすると explicitly refers back to a previously mentioned action.
そうなると
そうなると focuses on a situation naturally becoming that way, while そうすると focuses on the result of an action being taken.
こうすると
こうすると points to an action the speaker is doing or about to demonstrate right here, while そうすると refers back to an action already mentioned by someone else or further away.

Compound of そう (so, like that) + すると (when one does, if one does).