27 Feb
2014
27 Feb
'14
6:17 p.m.
Tito Piezas <tpiezas@gmail.com> writes:
Dear Bill,
I used the online Magma calculator at http://magma.maths.usyd.edu.au/calc/, and tested your 12-deg (6-deg over sqrt ext). [...]
It gave the order as 1036800. This is 12T299, and unfortunately is a non-solvable group.
a.k.a. the subgroup of S_{12} that stabilizes a partition of the 12 roots into two sets of 6, which is the largest it could be given that it comes from a 6th-degree polynomial over a quadratic number field. NDE