604800 = 27 33 52 7
21
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
| Order | Index | Name |
| 6048 | 100 | U3(3) |
| 2160 | 280 | 3.A6.22 |
| 1920 | 315 | 2^1+4b:a5 |
| 1152 | 525 | 2^2+4.3xs3 |
| 720 | 840 | a4xa5 |
| 600 | 1008 | a5xd10 |
| 336 | 1800 | L3(2).2 |
| 300 | 2016 | 5^2:D12 |
| 60 | 10080 | A5 |
| Prime | Order | Index | Name |
| 2 | 384 | 1575 | J2N2 |
| 3 | 216 | 2800 | 3^(1+2):8 |
| 5 | 300 | 2016 | 5^2:D12 |
| 7 | 42 | 14400 | 7:6 |
| Name |
| G2(4) |
| J2.2 |
| Name |
| 3.A6.22 |
| A5 |
| 2.J2 |
| L3(2).2 |
| 2^1+4b:a5 |
| 2^2+4.3xs3 |
| 5^2:D12 |
| 7:6 |
| a4xa5 |
| a5xd10 |
| 3^(1+2):8 |
| J2N2 |
| U3(3) |