Degree 12: T240

Name(s): [2^6]F_18:2=2wrF_18(6):2

Order: 2304 = 28 · 32

Parity: -1

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

Subfields: 2T1, 6T9

Other representations: 12T240, 12T240, 12T240, 16T1498, 16T1498, 16T1498, 16T1498

Resolvents
  2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
  4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
  6: 3T2, 3T2
  8: 4T3, 4T3, 8T3
  12: 6T3, 6T3, 6T3, 6T3, 6T3, 6T3
  16: 8T9
  24: 12T10, 12T10
  36: 6T9
  48: 12T28, 12T28
  72: 12T37
  144: 12T81
  576: 8T45
  1152: 12T195