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.

A367463 The orders, without repetition, of the subquotients of finite groups with irreducible representations in GL_4(Z).

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%I A367463 #6 Nov 19 2023 02:00:13
%S A367463 1,2,3,4,5,6,8,9,10,12,16,18,20,24,32,36,40,48,60,64,72,96,120,128,
%T A367463 144,192,240,288,384,576,1152
%N A367463 The orders, without repetition, of the subquotients of finite groups with irreducible representations in GL_4(Z).
%C A367463 Conway and Sloane identify 5 conjugacy classes of maximal finite irreducible subgroups of GL_4(Z). Of these, 2 are isomorphic to subgroups of other groups in the list. The 3 maximal groups are: 1) the Weyl group of F4, the automorphism group of the D4 lattice, with order 1152; 2) the wreath square of the dihedral group of order 12, the automorphism group of the (A2)^2 lattice, with order 288; 3) the product of the symmetric group of degree 5 with the group of order 2, the automorphism group of the A4 lattice (and its dual), with order 240.
%H A367463 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 A367463 Cf. A018261.
%K A367463 nonn,fini,full
%O A367463 1,2
%A A367463 _Hal M. Switkay_, Nov 18 2023