Flag Colouring

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Difficulty: 5

This problem is tagged with highschool, miscellaneous.

Savir has found a Kroaz Du flag and wondered to himself how many different ways he could colour this flag with $6$ colours, such that no two adjacent parts of the flag may be of the same colour. There are five parts of the flag - the four rectangular sections in each corner, and the middle cross. A picture of Savir's Kroaz Du has been attached for your reference. Can you answer his question?

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