T | Name(s) | |G| | Parity | |CS17(G)| | Other Representations | Resolvents |
---|---|---|---|---|---|---|
1 | C(17)=17 | 17 | 1 | 17 | ||
2 | D(17)=17:2 | 34 = 2 · 17 | 1 | 1 | 2: 2T1 | |
3 | F_68(17)=17:4 | 68 = 22 · 17 | 1 | 1 | 2: 2T1 4: 4T1 | |
4 | F_136(17)=17:8 | 136 = 23 · 17 | 1 | 1 | 2: 2T1 4: 4T1 8: 8T1 | |
5 | F_272(17)=17:16 | 272 = 24 · 17 | -1 | 1 | 2: 2T1 4: 4T1 8: 8T1 16: 16T1 | |
6 | L(17)=PSL(2,16) | 4080 = 24 · 3 · 5 · 17 | 1 | 1 | ||
7 | L(17):2=PZL(2,16) | 8160 = 25 · 3 · 5 · 17 | 1 | 1 | 2: 2T1 | |
8 | L(17):4=PYL(2,16) | 16320 = 26 · 3 · 5 · 17 | 1 | 1 | 2: 2T1 4: 4T1 | |
9 | A17 | 177843714048000 = 214 · 36 · 53 · 72 · 11 · 13 · 17 | 1 | 1 | ||
10 | S17 | 355687428096000 = 215 · 36 · 53 · 72 · 11 · 13 · 17 | -1 | 1 | 2: 2T1 |