Degree 10: T22

Name(s): S(5)[x]2

Order: 240 = 24 · 3 · 5

Parity: -1

|Aut(K)|=|CS10(G)|= 2

Subfields: 2T1, 5T5

Other representations: 10T22, 12T123, 12T123, 20T62, 20T62, 20T65, 20T65, 20T70

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T2
  120: 5T5