Degree 12: T260

Name(s): [2S_4^2]2=2S_4wr2

Order: 4608 = 29 · 32

Parity: -1

|Aut(K)|=|CS12(G)|= 2

Subfields: 2T1, 6T13

Other representations: 12T260, 12T260, 12T260, 12T260, 12T260, 12T260, 12T260, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
  16: 8T9, 8T9, 8T9
  32: 8T18
  72: 6T13
  144: 12T77
  288: 12T125
  1152: 8T47
  2304: 12T235