Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
528 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 80 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. #11751828 | C2 | semidirect |
| 3. #11751756 | C2 | semidirect |
| 4. #11746798 | C2 | semidirect |
| 5. C3×#64927 | 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 |
| 33. #64927 | D3 | semidirect |
| 89. #4002 | C2×D3 | semidirect |
| 90. #4002 | C2×D3 | semidirect |
| 356. C3×C5 | #1527 | semidirect |
| 416. C5 | #68343 | semidirect |
| 436. C3 | #10604542 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11755285 | 2 |
| #11751828 | 2 |
| #11751756 | 2 |
| #11746798 | 2 |
| C3×#64927 | 2 |
| #11746504 | 2 |
| #10604542 | 3 |
| #68343 | 5 |