Degree 12: T237

Name(s): [2^5]F_36:2_2{S_3^2,i}

Order: 2304 = 28 · 32

Parity: -1

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

Subfields: 2T1, 6T13

Other representations: 12T237, 12T238, 12T238, 16T1496, 16T1496, 16T1497, 16T1497

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  8: 4T3, 4T3, 8T2
  16: 8T10
  72: 6T13
  144: 12T79
  1152: 8T47