local i, result;

result := rec();

i := E(4);

result.comment := "2G24 as 12 x 12 matrices over Z[i]\n\
Original matrices obtained from construction given in:\n\n\
  The quaternionic lattice for 2G_2(4) and its maximal subgroups\n\
  Robert A. Wilson\n\
  J. Algebra 77, 449-466 (1982), pp449-466\n\n\
Re-seeded with i-eigenvector of a +/-8B element (ab^4ab^2ab^3abab)\n";

result.symmetricforms := [ ];

result.antisymmetricforms := [ ];

result.hermitianforms := [ 
[[1,1,0,i,-i,0,1,-1,0,-1,0,-i],
[1,1,-i,1,0,-1,i,-1,i,0,i,-1],
[0,i,0,-1,0,0,-i,-i,-1,-1,-1,0],
[-i,1,-1,-1,i,i,1,-1,0,-1-i,0,0],
[i,0,0,-i,0,-1,-1,0,-1,0,0,i],
[0,-1,0,-i,-1,-1,-1+i,0,0,1,1,1],
[1,-i,i,1,-1,-1-i,-1,0,0,i,0,0],
[-1,-1,i,-1,0,0,0,0,-i,0,1,1],
[0,-i,-1,0,-1,0,0,i,1,0,1-i,0],
[-1,0,-1,-1+i,0,1,-i,0,0,-1,0,0],
[0,-i,-1,0,0,1,0,1,1+i,0,0,i],
[i,-1,0,0,-i,1,0,1,0,0,-i,1]]];

result.centralizeralgebra := [ IdentityMat(12) ];

result.generators := [
[[0,1,0,0,0,0,0,0,0,0,0,0],
[1,0,0,0,0,0,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0,0,0,0,0],
[0,0,0,0,0,0,1,0,0,0,0,0],
[0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,0,0,0,0,0,0,1,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0],
[-1-i,1+i,i,1,-i,i,-1,1,0,-i,0,0],
[0,0,1,1,-1,1+i,-1,0,1,-1-i,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0],
[1,-1,-i,i,i,0,-i,0,0,0,1,0],
[i,-i,-2*i,-1+i,2*i,-1-i,1-i,0,0,1+i,0,1]]
,
[[0,0,1,0,0,0,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0,0,0,0,0],
[0,0,0,0,0,1,0,0,0,0,0,0],
[0,0,0,0,0,0,0,1,0,0,0,0],
[0,0,0,0,0,0,0,0,1,0,0,0],
[0,0,0,0,0,0,0,0,0,0,1,0],
[0,0,-1,i,1,-1,0,0,0,1,0,0],
[0,0,0,0,0,0,0,0,0,0,0,1],
[0,1+i,1,-i,-1,1+i,-2+i,1,1-i,-2,1,-1],
[0,1,1-i,-i,-1+i,2,-1+i,1-i,-i,-2+i,1,0],
[-1,0,-1,0,0,-1,0,0,0,0,-1,0],
[0,-1,0,-1,0,0,0,-1,0,0,0,-1]]];

return result;