Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. #11750951 | C2 | semidirect |
| 4. C8×Dic30 | C2 | semidirect |
| 5. C3×C5×#334 | C2 | semidirect |
| 7. #11746302 | C2 | semidirect |
| 29. C5×#334 | D3 | semidirect |
| 53. C3×#334 | D5 | semidirect |
| 128. #334 | D15 | semidirect |
| 248. C3×C5 | #1678 | semidirect |
| 289. C5 | #68548 | semidirect |
| 302. C3 | #10599341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750951 | 2 |
| #11750949 | 2 |
| #11750795 | 2 |
| C8×Dic30 | 2 |
| C3×C5×#334 | 2 |
| #11746306 | 2 |
| #11746302 | 2 |
| #10599341 | 3 |
| #68548 | 5 |