What is the normal cone of the constraints of a quadratically constrained quadratic programming(QCQP)?

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$$\begin{array}{ll} \text{minimize} & f_0(x)\\ \text{subject to} & f_i(x) \leq 0\end{array}$$

where

$$f_i (x) := (A_ix+b_i)^T(A_ix+b_i)-c_i^Tx-d_i$$

How can I calculate the normal cone of its constraints?