MatrixDepot.jl
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`orthogonal` not in groups
hadamard has a groups orthogonal, however, this is not listed in the listgroups and data.jl
https://github.com/JuliaLinearAlgebra/MatrixDepot.jl/blob/cbfd310c5204dc4a720a770c2c3b8ba4102d6ec7/src/higham.jl#L81