# Is the affine Grassmannian manifold a symmetric homogeneous space?

I am interested in the manifold of affine subspaces of dimension $$k$$ of $$\mathbb{R}^n$$, which can be viewed as the homogeneous space $$E(n)/(E(k)\times O(n-k)),$$ where $$E$$ refers to rigid motions and $$O$$ to orthogonal transformations. The Grassmannian of vector subspaces $$O(n)/(O(k)\times O(n-k))$$ is a symmetric space. Is there a chance that the affine Grassmanian also is?