Permutation | Transpositions | Adj. Tr. |
Id(s5) | Id(s5) |
(1, 2, 3, 4, 5) | (4,5)(3,4)(2,3)(1,2) |
(1, 3, 5, 2, 4) | (4,5)(3,5)(2,4)(1,3) |
(1, 4, 2, 5, 3) | (4,5)(3,4)(2,5)(1,4) |
(1, 5, 4, 3, 2) | (1,2)(23)(3,4)(4,5) |
(2, 3) | (2,3) |
(1, 2, 4, 5) | (1,5)(4,5)(2,4) |
(1, 3, 4)(2, 5) | (3,4)(1,3)(2,5) |
(1, 4, 2)(3, 5) | (1,2)(2,3)(3,4)(2,3)(3,4)(4,5)(3,4) |
(1, 5, 4, 3) | (1,2)(2,3)(3,4)(4,5)(1,2) |
(2, 4, 3) | (2,3)(3,4) |
(1, 2, 5) | (2,3)(3,4)(4,5)(3,4)(2,3)(1,2) | XS
(1, 3, 4, 5, 2) | (4,5)(2,3)(2,4)(1,3) |
(1, 4)(3, 5) | (1,4)(3,5) |
(1, 5, 4, 2, 3) | (4,5)(1,5)(1,3)(2,3) |
(2, 5, 4, 3) | (4,5)(3,5)(2,5) |
(1, 2) | (1,2) |
(1, 3, 4, 5) | (3,4)(4,5)(1,5) |
(1, 4)(2, 3, 5) | (1,4)(3,5)(2,5) |
(1, 5, 3)(2, 4) | (3,5)(1,3)(2,4) |
(3, 4) | (3,4) |
(1, 2, 3, 5) | (1,2)(1,3)(1,5) |
(1, 3)(2, 4, 5) | (1,3)(2,5)(4,5) |
(1, 4)(2, 5, 3) | (1,4)((2,3)(3,5) |
(1, 5, 4, 2) | (1,5)(1,4)(1,2) |
(2, 3, 4) | (2,4)(3,4) |
(1, 2, 4, 3, 5) | (1,2)(1,3)(1,4)(1,5) |
(1, 3)(2, 5) | (1,3)(2,5) |
(1, 4, 5, 3, 2) | (1,4)(2,3)(3,5)(1,5) |
(1, 5, 4) | (1,4)(4,5) |
(2, 4) | (2,4) |
(1, 2, 5)(3, 4) | (1,2)(1,5)(3,4) |
(1, 3, 5, 2) | (1,2)(4,5)(3,4)(4,5)(2,3) |
(1, 4, 5, 3) | (2,3)(1,2)(2,3)(4,5)(3,4) |
(1, 5, 4)(2, 3) | (2,3)(1,2)(3,4)(2,3)(1,2)(3,4)(4,5) |
(2, 5, 4) | (2,3)(3,4)(4,5)(2,3) |
(1, 2)(3, 4) | (1,2)(3,4) |
(1, 3, 5) | (1,3)(1,5) |
(1, 4, 5, 2, 3) | (1,4)(1,5)(1,2)(1,3) |
(1, 5, 3, 2, 4) | (1,5)(1,3)(1,2)(1,4) |
(3, 5, 4) | ??? |
(1, 2, 3) | ??? |
(1, 3, 2, 4, 5) | ??? |
(1, 4)(2, 5) | ??? |
(1, 5, 3, 4, 2) | (2,3)(3,5)(1,4)(4,5) |
(2, 3, 5, 4) | (3,5)(3,4)(2,3) |
(1, 2, 4, 3) | (1,2)(1,3)(3,4) |
(1, 3, 2, 5) | (1,5)(2,3)(3,5) |
(1, 4, 5, 2) | (1,2)(2,3)(3,4)(4,5)(3,4)(4,5)(2,3) |
(1, 5, 3, 4) | (1,2)(2,3)(3,4)(4,5)(2,3)(1,2)(3,4) |
(2, 4)(3, 5) | (2,3)(3,4)(2,3)(4,5)(3,4)(4,5) |
(1, 2, 5, 4, 3) | (2,3)(3,4)(4,5)(2,3)(3,4)(2,3)(1,2) |
(1, 3, 2) | (1,3)(1,2) |
(1, 4, 5) | (1,4)(1,5) |
(1, 5, 2, 3, 4) | (1,5)(2,4)(2,3)(1,2) |
(2, 5, 3, 4) | (2,5)(3,4)(2,3) |
(1, 2)(3, 5, 4) | (1,2)(3,5)(4,5) |
(1, 3) | (1,3) |
(1, 4, 5)(2, 3) | (2,3)(1,4)(4,5) |
(1, 5, 2, 4) | (1,5)(2,4)(4,5) |
(4, 5) | (4,5) |
(1, 2, 3, 4) | (1,2)(3,4)(1,3) |
(1, 3, 5)(2, 4) | (1,5)(3,5)(2,4) |
(1, 4, 3)(2, 5) | (1,3)(3,4)(2,5) |
(1, 5, 3, 2) | (1,5)(1,2)(2,3) |
(2, 3)(4, 5) | (2,3)(4,5) |
(1, 2, 4) | (1,4)(2,4) |
(1, 3, 4, 2, 5) | (1,5)(3,4)(2,5)(2,3) |
(1, 4, 3, 5, 2) | (1,4)(1,3)(1,2)(2,5) |
(1, 5, 3) | (1,5)(1,3) |
(2, 4, 5, 3) | (2,3)(3,4)(3,5) |
(1, 2, 5, 4) | (1,2)(1,5)(1,4) |
(1, 3, 4, 2) | (1,3)(1,4)(1,2) |
(1, 4, 3, 5) | (1,4)(1,3)(1,5) |
(1, 5, 2, 3) | (1,5)(1,2)(1,3) |
(2, 5, 3) | (2,5)(2,3) |
(1, 2)(4, 5) | (1,2)(4,5) | (1,2)(4,5) |
(1, 3, 4) | (1,3)(1,4) | (3,4)(1,2)(2,3)(1,2) |
(1, 4, 2, 3, 5) | (1,5)(3,5)(2,3)(2,4) | (1,2)(2,3)(3,4)(2,3)(1,2)(3,4)(4,5)(3,4)(2,3)(1,2) |
(1, 5, 2, 4, 3) | (1,3)(3,4)(2,4)(2,5) | (1,2)(2,3)(3,4)(4,5)(3,4)(2,3)(1,2)(2,3)(3,4)(1,2) |
(3, 4, 5) | (3,4)(3,5) |
(1, 2, 3, 5, 4) | (1,2)(1,3)(1,4)(4,5) |
(1, 3)(2, 4) | (1,3)(2,4) |
(1, 4, 3, 2, 5) | (1,4)(1,3)(1,2)(1,5) |
(1, 5, 2) | (1,5)(2,5)(1,2) |
(2, 3, 4, 5) | (2,3)(3,4)(4,5)(2,5) |
(1, 2, 4)(3, 5) | (1,2)(2,4)(1,4)(3,5) |
(1, 3)(2, 5, 4) | (1,3)(2,5)(4,5)(2,4) |
(1, 4, 3, 2) | (1,2)(2,3)(3,4) |
(1, 5) | (1,2)(2,3)(3,4)(4,5)(3,4)(2,3)(1,2) |
(2, 4, 5) | (4,5)(2,3)(3,4)(2,3) |
(1, 2, 5, 3, 4) | (3,4)(3,5)(2,4)(1,4)(2,5)(2,3) |
(1, 3, 5, 4, 2) | (1,2)(3,5)(2,3)(2,4) |
(1, 4, 3) | (1,4)(1,3) |
(1, 5)(2, 3) | (1,5)(2,3) |
(2, 5) | (2,5) |
(1, 2)(3, 4, 5) | (1,2)(3,4)(3,5) |
(1, 3, 5, 4) | (1,3)(1,5)(1,4) |
(1, 4, 2, 3) | (1,4)(1,2)(1,3) |
(1, 5)(2, 4, 3) | (1,5)(2,4)(2,3) |
(3, 5) |
(1, 2, 3)(4, 5) |
(1, 3, 2, 4) |
(1, 4, 2, 5) |
(1, 5, 2)(3, 4) | (1,2)(2,5)(3,4) |
(2, 3, 5) | (3,5)(2,3) |
(1, 2, 4, 5, 3) | (1,2)(1,3)(3,4)(3,5) |
(1, 3, 2, 5, 4) | (1,3)(1,2)(1,4)(4,5) |
(1, 4, 2) | (1,4)(1,2) |
(1, 5)(3, 4) | (1,5)(3,4) |
(2, 4, 3, 5) | (2,4)(2,3)(2,5) |
(1, 2, 5, 3) | (1,2)(1,5)(1,3) |
(1, 3, 2)(4, 5) | (2,3)(1,3)(4,5) |
(1, 4) | (1,4) |
(1, 5)(2, 3, 4) | (1,3)(3,4)(2,3) |
(2, 5)(3, 4) | (2,5)(3,4) |
(1, 2)(3, 5) |
(1, 3)(4, 5) |
(1, 4)(2, 3) |
(1, 5)(2, 4) |
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