Rewrite Table 8.12 in the order exhibited by the left cosets in Exercise 9. Do you seem to get a coset group of order 4? If so, is it isomorphic to Z₄ or to the Klein 4-group V?

Data from exercise 9 

Repeat Exercise 6 for the subgroup {P_o, p₂} of D₄.

Table 8.12

Po PI P2 P3 12 8 Po 8 Po fly P1 Pi P2 P3 M 8 12 P2 P3 Po 8 82 2 fl Po PI 2 82 8 P3 Po PI P2 82 P2 P3 P P2 82 12 8 8 fly ls P3 8 8 3 12 8 P2 fl 8 12 8 Po P2 P3 PI 8 Po 82 12 PI P3 8 MI M2 Po PI P3 P2 12 8 1 P3 P1 P2 Po