Find three subgroups of order 2 in the product table for the permutation group of order 6, Table 1.6.

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Table 1.6 Permutation group of degree 3 E P2 P3 P4 P5 P6 E E P2 P3 P4 P5 P6 P2 P2 E P6 P5 P4 P3 P3 P3 P5 E P6 P2 P4 P4 P4 P6 P5 E P3 P3 P5 P5 P3 P4 P2 P6 E P6 P6 P4 P2 P3 E P5