Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
392 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11750804 | C2 | semidirect |
| 3. #11746909 | C2 | semidirect |
| 4. #11746893 | C2 | semidirect |
| 5. C5×#4464 | C2 | semidirect |
| 6. C3×#64684 | C2 | semidirect |
| 7. #11745851 | C2 | semidirect |
| 35. #64684 | D3 | semidirect |
| 69. #4464 | D5 | semidirect |
| 317. C3×C5 | #1662 | semidirect |
| 365. C5 | #68358 | semidirect |
| 381. C3 | #10599151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752708 | 2 |
| #11750804 | 2 |
| #11746909 | 2 |
| #11746893 | 2 |
| C5×#4464 | 2 |
| C3×#64684 | 2 |
| #11745851 | 2 |
| #10599151 | 3 |
| #68358 | 5 |