Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 92 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. C3×#65367 | C2 | semidirect |
| 5. #11746367 | C2 | semidirect |
| 6. #11745867 | C2 | semidirect |
| 7. #11745861 | C2 | semidirect |
| 26. #65367 | D3 | semidirect |
| 242. C3×C5 | #1675 | semidirect |
| 281. C5 | #71372 | semidirect |
| 294. C3 | #10601926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5084 | 2 |
| C3×#65367 | 2 |
| D12×#168 | 2 |
| #11746882 | 2 |
| #11746367 | 2 |
| #11745867 | 2 |
| #11745861 | 2 |
| #10601926 | 3 |
| #71372 | 5 |