Conway, J. H. and Sloane, N. J. A. "The Coxeter-Todd Lattice, the Mitchell Group and Related Sphere Packings." Math.
Proc. Camb. Phil. Soc.93, 421-440, 1983.Conway, J. H.
and Sloane, N. J. A. "The 12-Dimensional Coxeter-Todd Lattice ." §4.9 in Sphere
Packings, Lattices, and Groups, 2nd ed. New York: Springer-Verlag, pp. 127-129,
1993.Coxeter, H. S. M. and Todd, J. A. "As Extreme
Duodenary Form." Canad. J. Math.5, 384-392, 1953.Mitchell,
H. H. "Determination of All Primitive Collineation Groups in More than
Four Variables." Amer. J. Math.36, 1-12, 1914.Sloane,
N. J. A. Sequence A004010/M5478
in "The On-Line Encyclopedia of Integer Sequences."Todd, J. A.
"The Characters of a Collineation Group in Five Dimensions." Proc. Roy.
Soc. London Ser. A200, 320-336, 1950.
corresponding to real lattice 
having the densest hypersphere
packing (kissing number) in twelve dimensions.
The associated automorphism group 
was discovered by Mitchell (1914). The order of 
is given by
is given by
![f(q)=9/(32)theta_2^6(q)theta_2^6(q^3)+[theta_2(q^4)theta_2(q^(12))+theta_3(q^4)theta_3(q^(12))]^6+(45)/(16)theta_2^4(q)[theta_2(q^4)theta_2(q^(12))+theta_3(q^4)theta_3(q^(12))]^2theta_2^4(q^3)
=1+756q^4+4032q^6+20412q^8+60480q^(10)+...](/images/equations/Coxeter-ToddLattice/NumberedEquation3.svg)
." §4.9 in