Find all left cosets of the subgroup {p 0 , 2 } of the group D

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

Table 8.12.

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Po PI P2 P3 μ₁ 12 8₁ Po Po P1 fly 12 Pi 8₁ 82 8₂ P₂ P1 0₁P2 P₂ P3 P2 P3 Po PI μ2 P3 Po PI P2 82 82 8₁ 3 P3 flj μ м, м Po 8₁ 82 8₂ P3 12 8₁ 12 8₁ 8₂ M₂ 12 fl ळ 8₁ 12 8₁ Po P2 P3 PI 8₂ 8₁ μ2 8₂ 8₁ 12 PI P3 8₂ fly MI M2 Po P2 Po PI P3 2 P2 μ1 P3 P₁ P2 Po