%id
hamming8
%name
Length 8 Hamming code VOA 
%central_charge
4
%group
%%name
2^6:(GL3(2) x Sym(3))
%%order
64512
%%note
automorphism group is (only) abstractly isomorphic to the trio stabilizer of the Mathieu group M24
%character
1, 0, 22
%properties
rational
unitary
C2
framed
%subvoas
%%subvoa
%%%id
ising
%%%orbit
%%%%length
24
%references
%%ref
%%%author
A. Matsuo
M. Matsuo
%%%title
The automorphism group of the Hamming code Vertex Operator Algebra
%%%classic 
Journal of Algebra, 228 (2000), 204-226
%source
G. H. and H. Y. by hand
%note
framed code VOA for the extended Hammingcode of length 8
V_L^+ with L=D4(2), the by sqrt(2) rescaled root lattice D4
there exists exactly 3 Virasoro frames permuted by the Sym(3)

