1.

Let G be a group order 6, and H be a subgroup of G such that 1 < |H| < 6. Which one of the following options is correct?

A. G is always cyclic, but H may not be cyclic.
B. G may not be cyclic, but H is always cyclic.
C. Both G and H are always cyclic.
D. Both G and H may not be cyclic.
Answer» C. Both G and H are always cyclic.


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