Computer Sciences > GATE 2021 SET-1 > Group Theory
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.

Correct : b

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