Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
528 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 528 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 |
|---|---|---|
| 2. #11751907 | C2 | semidirect |
| 3. #11751805 | C2 | semidirect |
| 4. #11746792 | C2 | semidirect |
| 5. C3×#64921 | C2 | semidirect |
| 6. #11746504 | C2 | semidirect |
| 7. #11746504 | C2 | semidirect |
| 21. #91231 | C22 | semidirect |
| 22. #91231 | C22 | semidirect |
| 23. C3×#4002 | C22 | semidirect |
| 24. C3×#4002 | C22 | semidirect |
| 35. #64921 | D3 | semidirect |
| 88. #4002 | C2×D3 | semidirect |
| 89. #4002 | C2×D3 | semidirect |
| 356. C3×C5 | #1527 | semidirect |
| 416. C5 | #68343 | semidirect |
| 436. C3 | #10604915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D3×#4082 | 2 |
| #11751907 | 2 |
| #11751805 | 2 |
| #11746792 | 2 |
| C3×#64921 | 2 |
| #11746504 | 2 |
| #10604915 | 3 |
| #68343 | 5 |