| 1. | It is thus related to the exceptional outer automorphism of A 6.
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| 2. | This conjugation defines an outer automorphism on the group of finitary permutations.
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| 3. | The outer automorphism group is trivial and the Schur multiplier has order 2.
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| 4. | The outer automorphism group of A 6 is the outer automorphism of S 6.
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| 5. | The outer automorphism group of A 6 is the outer automorphism of S 6.
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| 6. | The compact form is simply connected and its outer automorphism group is the trivial group.
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| 7. | The outer automorphism group has order 2, and the Schur multiplier has order 3.
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| 8. | It also has two rank 3 actions on 14080 points, exchanged by an outer automorphism.
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| 9. | ;S 6 : Unlike all other symmetric groups, S 6, has an outer automorphism.
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| 10. | The outer automorphism group measures, in a sense, how many automorphisms of are not inner.
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