The orbits of Weyl groups W(B_n), W(C_n) and W(D _n) of the simple Lie algebras B_n, C_n and D _n are reduced to the union of the orbits of Weyl groups of the maximal reductive subalgebras of B_n, C~n and D_n. Matrices transforming points of W(B_n), W(C_n) and W(D _n) orbits into points of subalgebra orbits are listed for all cases n ≤ 8 and for the infinite series of algebra-subalgebra pairs: B_n ? B_(n-1) ×U_1, B_n ? D_n, B_n ? B_(n-k)×D_k, B_n ? A_1, C~n ? C_(n-k)×C_k, C _n ? A_(n-1) ×U_1, C_n ? A_1, D_n ? A_(n-1) ×U_1, D _n ? D_(n-1) × U_1, D_n ? B_(n-1), D_n ? B_(n-k-1) ×B_k, D_n ? D_(n-k) ×D_k. Numerous special cases and examples are shown.
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