Degree 12: T235

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

Order: 2304 = 28 · 32

Parity: -1

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

Subfields: 2T1, 6T13

Other representations: 12T235, 12T236, 12T236, 16T1493, 16T1493, 16T1494, 16T1494, 18T370, 18T370, 18T370, 18T370

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  8: 4T3, 4T3, 8T3
  16: 8T9
  72: 6T13
  144: 12T77
  1152: 8T47