Degree 15: T₆₈

Name(s): [D(5)^3:2]S(3)

Order: 12000 = 2⁵ · 3 · 5³

Parity: -1

|Aut(K)|=|C_S15(G)|= 1

Subfields: 3T2

Other representations: 20T454

Resolvents
  2: 2T1, 2T1, 2T1
  4: 4T1, 4T1, 4T2
  6: 3T2
  8: 8T2
  12: 6T3
  24: 4T5, 12T11
  48: 6T11
  96: 12T53