Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
468 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11746005 | C2 | semidirect |
| 7. C22×Dic30 | C4 | semidirect |
| 10. #91824 | C4 | semidirect |
| 12. #91815 | C4 | semidirect |
| 298. C3×C5 | #2123 | semidirect |
| 349. C5 | #70147 | semidirect |
| 365. C3 | #10600851 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756584 | 2 |
| C5×#5240 | 2 |
| C3×#65526 | 2 |
| #11746005 | 2 |
| #10600851 | 3 |
| #70147 | 5 |