Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
436 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 436 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 |
|---|---|---|
| 2. #11750951 | C2 | semidirect |
| 4. #11746916 | C2 | semidirect |
| 6. C3×#64704 | C2 | semidirect |
| 7. #11745845 | C2 | semidirect |
| 33. #64704 | D3 | semidirect |
| 293. C3×C5 | #1630 | semidirect |
| 339. C5 | #68260 | semidirect |
| 354. C3 | #10599197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752651 | 2 |
| #11750951 | 2 |
| #11747066 | 2 |
| #11746916 | 2 |
| C5×#4485 | 2 |
| C3×#64704 | 2 |
| #11745845 | 2 |
| #10599197 | 3 |
| #68260 | 5 |