Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
396 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 105 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. #11746802 | C2 | semidirect |
| 5. #11746744 | C2 | semidirect |
| 281. C3×C5 | #1554 | semidirect |
| 323. C5 | #71832 | semidirect |
| 338. C3 | #10604445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65912 | 2 |
| #11752343 | 2 |
| #11752337 | 2 |
| #11746802 | 2 |
| #11746744 | 2 |
| #10604445 | 3 |
| #71832 | 5 |