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Find a decomposition of $\mathbb{C}^4$ in invariant spaces [closed]

Representation linear of finite groups

Find the matrices of the regular representation of $G=\frac{\mathbb{Z}}{2\mathbb{Z}}\times\frac{\mathbb{Z}}{2\mathbb{Z}}$. Find a decomposition of $\mathbb{C}^4$ in invariant spaces. Many irreducible representations are there?

Any hints would be appreciated.

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