Finding all the invariant subspaces of a certain linear transformation.

Question

Assuming I have given affine transformation $ \mathbb{R}^3\to \mathbb{R}^3 $ which has matrix representation $$ \left[\begin{array}{cccc} 3&2&-3&-10\\ 4&10&-12&-29\\ 3&6&-7&-26\\ 0&0&0&1 \end{array}\right], $$ and it has Jordan form $\left[\begin{array}{cccc}1&0&0&0\\0&2&0&0\\0&0&2&1\\0&0&0&2\end{array}\right]$ then how do I find all invariant affine subspaces ? assuming eigenvectors are $v_1,..v_4$.