Cube construction

A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )

Result

n = (Correct answer is: ?)

Solution:

$n<2^{ 4+4 } \ \\ \ \\ n=?$

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