Characteristic $\displaystyle (\lambda-2)^3(\lambda-3)^2$

Minimal $\displaystyle (\lambda-2)^2(\lambda-3)$

Find all possible canonical forms.

$\displaystyle \begin{bmatrix} \begin{bmatrix}2&1\\0&2\end{bmatrix}& 0 & 0& 0\\0 & 2 & 0& 0\\0 & 0& 3 &0 \\0 &0 &0 & 3\end{bmatrix}$

To find them all would that be a permutation of the 4 possible blocks.