720 = 24 32 5
11
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]
| Order | Index | Name |
| 360 | 2 | A6 |
| 120 | 6 | A5.2 |
| 120 | 6 | A6.2_1M3 |
| 72 | 10 | s3wrs2 |
| 48 | 15 | 2xSym4 |
| 48 | 15 | s2wrs3 |
| Name |
| A6.22 |
| A7.2 |
| A8 |
| L3(4).22 |
| S4(4) |
| U4(2) |
| Name |
| 2.A6.21 |
| 3.A6.21 |
| 6.A6.21 |
| A5.2 |
| A6.2_1M3 |
| A6 |
| 2xSym4 |
| 2^4.s6 |
| 2.2^4.S6 |
| 2^5:S6 |
| s2wrs3 |
| s3wrs2 |
| (3xA6).2_1 |
| M22.2M3 |