File:Symmetric group 3; Cayley table; matrices.svg
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<a href="//commons.wikimedia.org/wiki/File:Symmetric_group_3;_Cayley_table;_positions.svg" class="image"><img alt="" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Symmetric_group_3%3B_Cayley_table%3B_positions.svg/220px-Symmetric_group_3%3B_Cayley_table%3B_positions.svg.png" width="220" height="42" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Symmetric_group_3%3B_Cayley_table%3B_positions.svg/330px-Symmetric_group_3%3B_Cayley_table%3B_positions.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Symmetric_group_3%3B_Cayley_table%3B_positions.svg/440px-Symmetric_group_3%3B_Cayley_table%3B_positions.svg.png 2x" data-file-width="744" data-file-height="142"></a>
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Positions of the matrices 0 ... 5 in the Cayley table<a href="//commons.wikimedia.org/wiki/File:Symmetric_group_3;_Cayley_table;_subgroup_of_S4_(elements_0,1,2,3,4,5).svg" class="image"><img alt="Symmetric group 3; Cayley table; subgroup of S4 (elements 0,1,2,3,4,5).svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg/220px-Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg.png" width="220" height="220" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg/330px-Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg/440px-Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg.png 2x" data-file-width="234" data-file-height="234"></a>
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<a href="https://en.wikipedia.org/wiki/en:Cayley_table" class="extiw" title="w:en:Cayley table">Cayley table</a> of the 3<a href="https://en.wikipedia.org/wiki/en:Factorial" class="extiw" title="w:en:Factorial">!</a> = 6 permutations of 3 elements, represented by <a href="https://en.wikipedia.org/wiki/en:Permutation_matrix" class="extiw" title="w:en:Permutation matrix">matrices</a>
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:36, 6 January 2017 | | 1,986 × 2,012 (65 KB) | 127.0.0.1 (talk) | <div class="thumb tright"><div class="thumbinner" style="width:222px;"> <a href="//commons.wikimedia.org/wiki/File:Symmetric_group_3;_Cayley_table;_positions.svg" class="image"><img alt="" src="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Symmetric_group_3%3B_Cayley_table%3B_positions.svg/220px-Symmetric_group_3%3B_Cayley_table%3B_positions.svg.png" width="220" height="42" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Symmetric_group_3%3B_Cayley_table%3B_positions.svg/330px-Symmetric_group_3%3B_Cayley_table%3B_positions.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/c/cb/Symmetric_group_3%3B_Cayley_table%3B_positions.svg/440px-Symmetric_group_3%3B_Cayley_table%3B_positions.svg.png 2x" data-file-width="744" data-file-height="142"></a> <div class="thumbcaption"> <div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Symmetric_group_3;_Cayley_table;_positions.svg" class="internal" title="Enlarge"></a></div>Positions of the matrices 0 ... 5 in the Cayley table</div> </div></div> <div class="thumb tright"><div class="thumbinner" style="width:222px;"> <a href="//commons.wikimedia.org/wiki/File:Symmetric_group_3;_Cayley_table;_subgroup_of_S4_(elements_0,1,2,3,4,5).svg" class="image"><img alt="Symmetric group 3; Cayley table; subgroup of S4 (elements 0,1,2,3,4,5).svg" src="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg/220px-Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg.png" width="220" height="220" class="thumbimage" srcset="https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg/330px-Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg.png 1.5x, https://upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg/440px-Symmetric_group_3%3B_Cayley_table%3B_subgroup_of_S4_%28elements_0%2C1%2C2%2C3%2C4%2C5%29.svg.png 2x" data-file-width="234" data-file-height="234"></a> <div class="thumbcaption"><div class="magnify"><a href="//commons.wikimedia.org/wiki/File:Symmetric_group_3;_Cayley_table;_subgroup_of_S4_(elements_0,1,2,3,4,5).svg" class="internal" title="Enlarge"></a></div></div> </div></div> <p><a href="https://en.wikipedia.org/wiki/en:Cayley_table" class="extiw" title="w:en:Cayley table">Cayley table</a> of the 3<a href="https://en.wikipedia.org/wiki/en:Factorial" class="extiw" title="w:en:Factorial">!</a> = 6 permutations of 3 elements, represented by <a href="https://en.wikipedia.org/wiki/en:Permutation_matrix" class="extiw" title="w:en:Permutation matrix">matrices</a> </p> |
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