Use 4 colors to dye the 6 faces of a cube. It is required that each face can only use 1 color, and the colors of adjacent faces must be different. If the color of the cube is the same after being turned over, it is considered to be the same dyeing method , so how many different dyeing methods are there?
用4种颜色为一个正方体的6个面染色，要求每个面只能用1种颜色，且相邻面的颜色必须不相同，如果将正方体经过翻转后颜色相同，就认为是同一种染色方法，那么共有多少种不同的染色方法？
<gadget id="calculator">4 * 3 * 2</gadget>
<output>24</output>

<gadget id="calculator">24 * 3</gadget>
<output>72</output>

<gadget id="calculator">24 + 72</gadget>
<output>96</output>

<result>96</result>