Yes it does. X can be halved in more than one way, making this letter highly capable of having rotational symmetry.
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The letters: I O H X o x all exhibit bilateral symmetry and rotational symmetry, with O and X exhibiting it in both upper and lower case.
There are 10 letters in the alphabet that achieve rotational symmetry when displayed in their capital form. These letters: A, H, I, M, O, U, V, W, X, and Y.
Well, they all have 360 degree rotational symmetry :P Sorry, not helpful.I think these all do: H, I, K(depending on how you write it), N, O, S, X, ZH, I, O, and X have rotational and reflectional symmetry, and N, S, and X also have rotational.
H,i,o,x
No a Z doesn't have a rotational symmetry