I got 566 marks in gate ME 2019 and I belong to SC category which colleges I can opt

Hi Swaroop, the cutoff varies every year based on various factors like number of seats available number of test takers difficulty level of exams etc. However going by the past records, some of the colleges are,

1) IIT Bombay

2) IIT Delhi

3) IIT Kharagpur

4) IIT Roorkee

5) IIT BHU

You also have high chances to be part of top NITs as well with this score.

You can refer to this link below, to get detailed cutoff list for various colleges and various courses under ME,

https://engineering.careers360.com/articles/gate-cutoff