A division bench of Chief Justice R Subhash Reddy and Justice V M Pancholi dismissed the petition saying that it is satisfied with the CID investigation into the case.
The bench also added that the case did not fall into the rarest of rare category of cases requiring a CBI probe.
Petitioner Kanti Chavda had demanded the CBI probe arguing that the state Crime Investigation Department (CID) probing into the incident has failed to bring out the "larger conspiracy" behind the incident.
Chavda said the CID filed a 'C-summary closure report' without a charge sheet against anyone in the Thangadh firing case.
The government had earlier argued against the CBI probe and told the court that Una incident could not be equated with the Thangadh incident.
It said the CID has already filed a charge sheet in the Una incident against over three dozen accused and the evidence against them were strong.
The video of the flogging, caught on mobile cameras, had gone viral creating widespread resentment.
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