Consider the outside of cubes made out of \( 1 \times 1 \times 1 \) unit blocks, with side lengths \( n \times n \times n \), for \( n \geq 2 \), which we have painted red on the outside.

The following table shows the number of unit cubes which are colored on a given number of faces.

Cube Size | 3 faces red | 2 faces red | 1 face red |

\( 2 \times 2 \times 2 \) | 8 | 0 | 0 |

\( 3 \times 3 \times 3 \) | 8 | 12 | 6 |

\(4 \times 4 \times 4 \) | ? | ? | ? |

What is the sum of the numbers missing from the row for the \(4 \times 4 \times 4 \) cube?

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