Finite subgroups of $PSL(2,R)$

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I know $PSL(2,R)$ is $SL(2,R)/SZ(2,R)$ and it is a simple group, but I do not have single clue how to get on finding its group presentation. How can I find its presentation and also I am looking for what its finite subgroups (or all subgroups) look like. Is there any characterization for finite subgroups of $PSL(2,R)$, any reference to some journal where they have been studied and classified?