Repeat the preceding exercise, but find the right cosets this time. Are they the same as the left coset?

Data from exercise 9

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

Data from Exercise 6

Find all left cosets of the subgroup {p₀ , µ₂} of the group D₄ given by Table 8.12.

Po PI P2 P3 12 8 Po Pi 8 Po P Pi I fly P2 P3 PO Po 12 P1 P2 P P3 P2 P3 P3 Po PI 82 8 8 l; ls P3 8 P1 Po 8 f 8 3 12 P2 82 8 8 M 8 Po P2 P3 PI 12 P2 142 8 PI 12 8 8 82 2 3 Po 8 P3 8 8 f) M2 Po 2 PI P3 P2 12 8 P3 P1 P2 Po