Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
468 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 4. #11746297 | C2 | semidirect |
| 7. C22×Dic30 | C4 | semidirect |
| 11. #91824 | C4 | semidirect |
| 14. #91815 | C4 | semidirect |
| 298. C3×C5 | #2123 | semidirect |
| 349. C5 | #70147 | semidirect |
| 365. C3 | #10600940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756584 | 2 |
| C3×C5×#413 | 2 |
| #11751341 | 2 |
| #11746297 | 2 |
| #10600940 | 3 |
| #70147 | 5 |