All permutations of (1, 2, 3, 4) in reverse colexicographic order

Columns:

• cycle notation
• permutation matrix (active right)
• row number of  A055089 (factorial number converted to decimal), if the permutation is not self-conjugate the number of its inverse is shown below
• one-line notation (row of array  A055089), left inversion count
• place-based inversion set
• inversion number ( A034968, digit sum of factorial number and cardinality of inversion set)

List of the first 8! = 4320 permutations of 8 elements in the same order: https://oeis.org/A198380/a198380_1.txt

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