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→Representations

| sign || 1 || -- || any || remains the same || [[A3 in S3]] (unless the characteristic is two, in which case it is the whole group) || 1 || 1 || there are no ''bad characteristics'', but it is noteworthy that in characteristic two, this becomes same as trivial representation

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| [[standard representation of symmetric group:S3| standard (two-dimensional irreducible) ]] || 1 || 3 || any || remains the same || trivial subgroup, i.e., it is faithful || 2 || 1 || When the <math>\mathbb{Z}</math>-representation is mapped to [[field:F3]], we get a representation that is indecomposable but not irreducible.

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===Trivial representation===

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