Transitive Group 6T7

Group name: S₄(6d )= [2²]S(3) Size: 24

Minima for known fields

Sigs	2	6
Min	33856	3356224
#	178	154

Total: 332 fields

Minima for prescribed classes of complex conjugation

(2,5)(3,6)	52441
(1,5)(2,4)	33856

Generating polynomials for the above fields

(2,5)(3,6) : x^6 - x^4 - x^3 - x^2 + 1
(1,5)(2,4) : x^6 + x^4 - 1
Sig = 6: x^6 - 6*x^4 + 8*x^2 - 1

Search the database