Let G be a group of order 6, and H be a subgroup of G such that 1 < |H| < 6.…
GATE · 2021 · CS · Set 1 · Computer Science & IT
Let G be a group of order 6, and H be a subgroup of G such that 1 < |H| < 6. Which one of the following options is correct?
- A.
Both G and H are always cyclic.
- B.
G may not be cyclic, but H is always cyclic.
- C.
G is always cyclic, but H may not be cyclic.
- D.
Both G and H may not be cyclic.
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