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%I #6 Sep 21 2013 07:25:30
%S 1,2,3,8,20,80,210,672,2688,10080,44352,236544,960960,4324320,
%T 20270250,104247000,522762240,3024552960,15713497800,108973522944,
%U 625746401280,3824005785600,24049411386000,160329409240000,858907549500000,5226869622374400
%N Maximal degree of an irreducible representation of the group of n X n signed permutation matrices.
%C This group is also the automorphism group of the n-dimensional hypercube and the wreath product of the cyclic group C_2 and the symmetric group S_n.
%C The number of irreducible representations is given in A000712; the order of the group in A000165.
%C The group is also the Weyl group of type B_n. - _Eric M. Schmidt_, Sep 21 2013
%D Roger W. Carter, Finite Groups of Lie Type: Conjugacy Classes And Complex Characters. Wiley, 1985.
%H Eric M. Schmidt, <a href="/A066051/b066051.txt">Table of n, a(n) for n = 1..40</a>
%o (GAP) to produce a(8): c := CyclicGroup(2); s := SymmetricGroup(8); w := WreathProduct(c,s); Display(CharacterTable(w));
%o (Sage) def A066051(n) : return factorial(n) // min(prod(A.hooks()) * prod(B.hooks()) for (A,B) in PartitionTuples(2,n)) # _Eric M. Schmidt_, Sep 21 2013
%Y Cf. A000712, A000165, A003040.
%K nonn,nice
%O 1,2
%A Sharon Sela (sharonsela(AT)hotmail.com), Dec 29 2001
%E More terms from _Eric M. Schmidt_, Sep 21 2013
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