| T | Name(s) | |G| | Parity | |CS5(G)| | Other Representations | Resolvents
 | 
|---|
|  1 | C(5) = 5 | 5  | 1 | 5
 |   |  
 | 
|  2 | D(5) = 5:2 | 10  = 2 · 5 | 1 | 1
 | 10T2 | 2: 2T1
 | 
|  3 | F(5) = 5:4 | 20  = 22 · 5 | -1 | 1
 | 10T4, 20T5 | 2: 2T1 4: 4T1
 | 
|  4 | A5 | 60  = 22 · 3 · 5 | 1 | 1
 | 6T12, 10T7, 12T33, 15T5, 20T15 |  
 | 
|  5 | S5 | 120  = 23 · 3 · 5 | -1 | 1
 | 6T14, 10T12, 10T13, 12T74, 15T10, 20T30, 20T32, 20T35 | 2: 2T1
 |