Degree 12: T78

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

Order: 144 = 24 · 32

Parity: -1

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

Subfields: 2T1, 4T3, 6T13

Other representations: 12T77, 12T77, 12T77, 12T77, 12T78, 12T78, 12T78, 18T63, 18T63, 18T63, 18T63

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