Q34

MCQ2 marks, −0.67

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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