Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 4. #11746920 | C2 | semidirect |
| 5. C5×#4480 | C2 | semidirect |
| 6. C3×#64706 | C2 | semidirect |
| 7. #11745863 | C2 | semidirect |
| 30. #64706 | D3 | semidirect |
| 55. #4480 | D5 | semidirect |
| 245. C3×C5 | #1703 | semidirect |
| 285. C5 | #68455 | semidirect |
| 298. C3 | #10599338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750943 | 2 |
| #11747012 | 2 |
| #11746971 | 2 |
| #11746920 | 2 |
| C5×#4480 | 2 |
| C3×#64706 | 2 |
| #11745863 | 2 |
| #10599338 | 3 |
| #68455 | 5 |