cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A367501 The orders, without repetition, of the subquotients of finite groups with irreducible representations in GL_5(Z).

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%I A367501 #4 Dec 06 2023 14:29:42
%S A367501 1,2,3,4,5,6,8,9,10,12,16,18,20,24,32,36,40,48,60,64,72,80,96,120,128,
%T A367501 144,160,192,240,256,320,360,384,640,720,768,960,1440,1920,3840
%N A367501 The orders, without repetition, of the subquotients of finite groups with irreducible representations in GL_5(Z).
%C A367501 Conway and Sloane identify 2 conjugacy classes of maximal finite irreducible subgroups of GL_5(Z). The 2 maximal groups are: 1) the wreath fifth power of the group of order 2, the automorphism group of Z^5, D5 and its dual, of order 3840; 2) the product of the symmetric group of degree 6 with the group of order 2, the automorphism group of the A5 lattice and its dual, with order 1440.
%H A367501 J. H. Conway and N. J. A. Sloane, <a href="http://neilsloane.com/doc/Me146.pdf">Low-dimensional lattices. II. Subgroups of GL(n,Z)</a>, Proc. R. Soc. Lond. A 419 (1988), 29-68.
%Y A367501 Cf. A367463.
%K A367501 nonn,fini,full
%O A367501 1,2
%A A367501 _Hal M. Switkay_, Nov 20 2023