Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
388 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #11746954 | C2 | semidirect |
| 4. #11746929 | C2 | semidirect |
| 5. #11746303 | C2 | semidirect |
| 6. C3×#64704 | C2 | semidirect |
| 32. #64704 | D3 | semidirect |
| 283. C3×C5 | #1638 | semidirect |
| 327. C5 | #68247 | semidirect |
| 342. C3 | #10601940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752491 | 2 |
| C5×#4842 | 2 |
| #11746954 | 2 |
| #11746929 | 2 |
| #11746303 | 2 |
| C3×#64704 | 2 |
| #11745837 | 2 |
| #10601940 | 3 |
| #68247 | 5 |