Consider the following groups:
Z2 ×Z2 ×Z2, Z4 ×Z2, Z8, G3 ×G5 (where Gn is the group of
invertible
integers mod n), Z2 ×Z4, the subgroup of S(6) generated by the product per- mutaion (2 4 6 1)(3 5); D(4); S(3); the smallest subgroup of S(6) containing the cycles (1 3), (2 6), (4 5).
Which of these groups are isomorphic to one anther?
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