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A066051 Maximal degree of an irreducible representation of the group of n X n signed permutation matrices. +0
4
1, 2, 3, 8, 20, 80, 210, 672 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

The number of irreducible representations is given in A000712; the order of the group in A000165.

PROGRAM

(GAP) to produce a(8): c := CyclicGroup(2); s := SymmetricGroup(8); w := WreathProduct(c, s); Display(CharacterTable(w));

CROSSREFS

Cf. A000712, A000165, A003040.

Sequence in context: A029895 A073268 A073190 this_sequence A056971 A108125 A118854

Adjacent sequences: A066048 A066049 A066050 this_sequence A066052 A066053 A066054

KEYWORD

nonn,nice,more

AUTHOR

Sharon Sela (sharonsela(AT)hotmail.com), Dec 29 2001

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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