27. For testing H :10 against K :{II" ' " Is}, suppose there exists a finite group G = {gl" '" gN } which leaves H and K invariant and which is transitive in the sense that givenh,fj' (1 S, j, j') there exists g E G such that gh = h" In generalization of Problems 24, 25, determine a UMP invariant test, and show that it is both maximin against K and admissible.