Show that D_6 is not isomorphic to a subgroup of S_4.
Added by Brent J.
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The dihedral group D6 has 12 elements, as it represents the symmetries of a hexagon, which has 6 rotations and 6 reflections. The symmetric group S4 has 4! = 24 elements, as it represents all possible permutations of 4 elements. Now, let's assume that D6 is Show more…
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