It is strange that she should have done it.句中should是情态动词吗?

It is strange that she should have done it.句中should是情态动词吗?
It is strange that she should have done it.句中should是情态动词吗?

It is strange that she should have done it.句中should是情态动词吗?
should是情态动词,因为句中有strange,后面应加情态动词should或省略,should have done 是强调事情发生在过去,should翻译为竟然