A method for decoding an image by a decoding apparatus according to the present disclosure comprises the steps of: acquiring intra prediction mode information of a current block; rearranging the remaining intra prediction modes on the basis of a lookup table; deriving a subgroup of the current block on the basis of subgroup information; decoding remaining intra prediction mode information on the basis of a binarization method for the subgroup; deriving, as an intra prediction mode of the current block, an intra prediction mode indicated by the decoded remaining intra prediction mode information among the intra prediction modes included in the subgroup; and generating a prediction sample of the current block on the basis of the intra prediction mode.