Symmetry Operation Matrices of $I_h$ Group

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I wanted to find the symmetry operation matrix for $I_h$ point group. My background is in chemistry and did not find operation matrices to Ih group online -- people seem to focus on the 32 types of crystal point groups instead of $I_h$ point group. A related question seems to be discussed here: How to generate the icosahedral groups $I$ and $I_h$? I'm confused about the process of generating the 120 matrices based on the four matrices discussed on this link. Any information would be highly appreciated.

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Finally I found the matrix representations available from wolfram mathematica via FiniteGroupData["Icosahedral", "MatrixRepresentation"].