Name(s): [3^5:2]S(5)
Order: 58320 = 24 · 36 · 5
Parity: -1
|Aut(K)|=|CS15(G)|= 1
Subfields: 5T5
Other representations: 15T83
Resolvents 2: 2T1, 2T1, 2T1 4: 4T2 6: 3T2 12: 6T3 120: 5T5 240: 10T22 720: 15T29 19440: 15T70