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Is there an isomorphism between the dihedral group and the group defined by the transpose of the dihedral group's Cayley table?

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    What is the transpose of a group?2012-09-14
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    @William -- edited.2012-09-14
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    The Cayley table is not unique. Is it clear that you even get a group by transposing a group table? If it is a group, it must be the dihedral group, as there's no other non-abelian group of order 8 with so many elements of order 2.2012-09-14
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    Perhaps my previous comment was a little silly. I think you are asking about the "opposite group" - see http://en.wikipedia.org/wiki/Opposite_group2012-09-14

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