Why RightCosets so speed?

Question:Why RightCosets so speed?

Posted: jud 150 Product: Maple

July 07 2022

with(GroupTheory):

st := time();
RightCosets(SymmetricGroup(10), SymmetricGroup(11));
time() - st;

0.047

Note GroupOrder(SymmetricGroup(11)) is 39916800. It is a very large group. This seems unimaginable to me. Can I know how maple does it?

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