File:Hyperoctahedral group 2; passive prefix.svg
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;_subgroup_of_S4.svg) The 8 permutations of a square, which form the hyperoctahedral group of dimension 2, i.e. the dihedral group Dih4 These are passive permutations, i.e. the permutations are denoted by the result of applying them. The orientation of the permutation matrix fits prefix notation.
These 8 permutations applied on a 2-ary Boolean function generate all the functions in its bec, and the 4 permutations on the left generate all the functions in the sec Compare 3-ary Boolean functions; cube permutations, the 3-dimensional equivalent. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:49, 9 August 2019 | | 822 × 909 (987 KB) | Watchduck | make odd permutations dark |
| 17:41, 26 November 2016 |  | 822 × 909 (593 KB) | Watchduck | details | |
| 23:11, 7 October 2016 |  | 822 × 909 (652 KB) | Watchduck | {{Information |Description ={{en|1=The 8 permutations of a square, which form the hyperoctahedral group of dimension 2, i.e. the dihedral group [[w:Examples_of_groups#dihedral_group_of_order_8|Dih<sub... |
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