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Let $K$ be a prime knot in $S^3$ and $G(K)=\pi_1(S^3-K)$ the knot group. Wewrite $K_1 \geq K_2$ if there exists a surjective homomorphism from $G(K_1)$onto $G(K_2)$. In this paper, we determine this partial order on the set ofprime knots with up to 11 crossings. There exist such 801 prime knots and then$640,800$ should be considered. The existence of a surjective homomorphism canbe proved by constructing it explicitly. On the other hand, the non-existenceof a surjective homomorphism can be proved by the Alexander polynomial and thetwisted Alexander polynomial. This work is an extension of the result of\cite{KS1}.

ERRATA: "A PARTIAL ORDER ON THE SET OF PRIME KNOTS WITH UP TO 11 CROSSINGS"