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Defining the Weyl group of type $D_n$ as a subgroup of Weyl group of type $B_n$ in GAP
I am looking to define the Weyl group of type $D_n$ as a subgroup of Weyl group of type $B_n$ in the software GAP. In general, one can define these groups separately. For example, let's say
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List of all elements of the Weyl group of type $C_3$.
What is the list of all elements of the Weyl group of type $C_3$ in terms of simple refletions $s_1, s_2, s_3$? There are 48 elements in the group. Thank you very much.