Symmetries in crystal structures

Which of these symmetries occur in nature?
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How many centers of symmetry does a simple cube have?

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What is the minimum rotation(in degrees)required for restoring originality in a 4 fold axis of symmetry?

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How many 2-fold axes of symmetry does a cube have?

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How many planes of symmetry does a cube have which do not pass through a vertex

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How many planes of symmetry does a cube have?

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