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Assign groups to the elements A, B, C, D...

Assign groups to the elements `A, B, C, D` and `E` starting from element `X("group" 2^(nd))`
`underset((II A))(X)overset(-alpha)(rarr)Aoverset(-beta)(rarr)Boverset(-beta)(rarr)Coverset(-alpha)(rarr)D`
What is relation between `A` and `D`?
What is relation between `A, B` and `C`?

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