Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
540 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 112 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. #11747005 | C2 | semidirect |
| 3. #11746361 | C2 | semidirect |
| 4. C3×#64760 | C2 | semidirect |
| 5. #11745847 | C2 | semidirect |
| 25. #64760 | D3 | semidirect |
| 261. C3×C5 | #1525 | semidirect |
| 307. C5 | #68342 | semidirect |
| 321. C3 | #10602590 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5668 | 2 |
| #11747005 | 2 |
| #11746361 | 2 |
| C3×#64760 | 2 |
| #11745847 | 2 |
| #10602590 | 3 |
| #68342 | 5 |