OFFSET
1,2
COMMENTS
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.
LINKS
J. H. Conway and N. J. A. Sloane, Low-dimensional lattices. II. Subgroups of GL(n,Z), Proc. R. Soc. Lond. A 419 (1988), 29-68.
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Hal M. Switkay, Nov 20 2023
STATUS
approved