Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
332 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 332 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. #11750950 | C2 | semidirect |
| 4. C8×Dic30 | C2 | semidirect |
| 5. C3×C5×#335 | C2 | semidirect |
| 7. #11746303 | C2 | semidirect |
| 29. C5×#335 | D3 | semidirect |
| 54. C3×#335 | D5 | semidirect |
| 131. #335 | D15 | semidirect |
| 255. C3×C5 | #1682 | semidirect |
| 297. C5 | #68590 | semidirect |
| 310. C3 | #10599383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750950 | 2 |
| #11750949 | 2 |
| #11750795 | 2 |
| C8×Dic30 | 2 |
| C3×C5×#335 | 2 |
| #11746306 | 2 |
| #11746303 | 2 |
| #10599383 | 3 |
| #68590 | 5 |