Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
476 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 104 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. #11746878 | C2 | semidirect |
| 3. #11746361 | C2 | semidirect |
| 4. C3×#64760 | C2 | semidirect |
| 5. #11745847 | C2 | semidirect |
| 25. #64760 | D3 | semidirect |
| 257. C3×C5 | #1536 | semidirect |
| 303. C5 | #68349 | semidirect |
| 317. C3 | #10602592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5668 | 2 |
| #11746878 | 2 |
| #11746361 | 2 |
| C3×#64760 | 2 |
| #11745847 | 2 |
| #10602592 | 3 |
| #68349 | 5 |