Sylow Subgroups of the Rubik's Cube Group

Asked Apr 03 '19 at 17:40

Active Apr 03 '19 at 19:20

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The Rubik's Cube Group has order $2^{27} 3^{14} 5^3 7^2 11$. What is known about the Sylow subgroups of this group? Do they have an intuitive meaning with regards to the symmetry of the cube?

edited Apr 03 '19 at 19:20

Arturo Magidin

417,286

asked Apr 03 '19 at 17:40

Tyler

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2

This problem is amenable to the free software GAP: see here (39.13-1) and here. – Shaun Apr 03 '19 at 18:28
Here is the [tag:gap] tag. If you're happy with computing the subgroups, then I suggest you add it with an [edit]. – Shaun Apr 03 '19 at 18:59
There are even questions having both gap and rubiks-cube tags, e.g. this – Olexandr Konovalov Apr 03 '19 at 20:44

Sylow Subgroups of the Rubik's Cube Group

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