Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 3. #11746921 | C2 | semidirect |
| 5. #11746303 | C2 | semidirect |
| 6. C3×#64701 | C2 | semidirect |
| 7. #11745866 | C2 | semidirect |
| 30. #64701 | D3 | semidirect |
| 245. C3×C5 | #1703 | semidirect |
| 285. C5 | #68503 | semidirect |
| 298. C3 | #10601669 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4838 | 2 |
| #11746964 | 2 |
| #11746921 | 2 |
| #11746882 | 2 |
| #11746303 | 2 |
| C3×#64701 | 2 |
| #11745866 | 2 |
| #10601669 | 3 |
| #68503 | 5 |