Question: 1 0 0 0 1 U 1. Consider the matrices X = D 0 1 and Y = 1 O 0 . D l 0

1 0 0 0 1 U 1. Consider the matrices X = D 0 1 and Y = 1 O 0 . D l 0 0 0 l (a) Show that X and Y generate a subgroup G of GL3(C) of order 6. (b) Show that the permutation representation of the symmetric group 53 induces an iso- morphism S; 3) G

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