Moving the focused window to the bottom/top monitor with a shortcut

Short version: Is there a program that can move the focused/active window to the bottom/top monitor with a keyboard shortcut?

Long version:

Sometimes I need to move a window to the bottom/top, in my case between monitors 3 and 4 and between monitors 5 and 6:

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I use BetterTouchTool to move a window to the left or right monitor:

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But it doesn't have the option to move a window to the monitor up or down.

SizeUp has the same limitation:

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Moom

You can:

Define size and position and assign a shortcut.

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Use a predefined shortcut and then use arrow keys to move the window.

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Use a shortcut to move the window to another monitor.

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For the record, Moom is usually 10$, but now is 5$.