Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
540 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 102 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. C4×#6762 | C2 | semidirect |
| 3. C3×C4×#704 | C2 | semidirect |
| 4. #11746505 | C2 | semidirect |
| 5. #11746504 | C2 | semidirect |
| 27. C4×#704 | D3 | semidirect |
| 328. C3×C5 | #1525 | semidirect |
| 385. C5 | #69859 | semidirect |
| 404. C3 | #10604993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754572 | 2 |
| C4×#6762 | 2 |
| C3×C4×#704 | 2 |
| #11746505 | 2 |
| #11746504 | 2 |
| #10604993 | 3 |
| #69859 | 5 |