  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) x U(1), B(n) - D(n), B(n) - B(n-k) x
D(k), B(n) - A(1), C(n) - C(n-k) x C(k), C(n) - A(n-1) x U(1), D(n) - A(n-1) x
U(1), D(n) - D(n-1) x U(1), D(n) -B(n-1), D(n) - B(n-k-1) x B(k), D(n) -D(n-k)
x D(k). Numerous special cases and examples are shown.
