I would like to know that some examples of p-groups with $|cd(G)| = dl(G)=3$, such that $cd(G)$ to denote the set of degrees of the irreducible characters of $G$ and $dl(G)$ to denote the derived length of $G$.
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There are 9 isomorphism classes of such $G$ with order 128. One is the Sylow 2-subgroup of $S_8$ (also known as the wreath product of $D_8$ and $C_2$). Another is the wreath product of $Q_8$ and $C_2$. – Jack Schmidt Dec 14 '13 at 14:54