Question: Bug of IsTransitive?

When I use IdentifySmallGroup(DihedralGroup(4)), I will get result 8,3. Then I know DihedralGroup(4) is SmallGroup(8, 3) actually. But I will get different result when I use it in IsTransitive:

IsTransitive(DihedralGroup(4), [1, 2, 3, 4])

true

IsTransitive(SmallGroup(8, 3), [1, 2, 3, 4])

false

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