Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
480 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 480 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. #11756472 | C2 | semidirect |
| 3. #11751176 | C2 | semidirect |
| 4. #11746365 | C2 | semidirect |
| 5. #11746277 | C2 | semidirect |
| 207. C3×C5 | #1620 | semidirect |
| 243. C5 | #71284 | semidirect |
| 254. C3 | #10602077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756472 | 2 |
| C3×C5×#493 | 2 |
| #11751176 | 2 |
| #11746365 | 2 |
| #11746277 | 2 |
| #10602077 | 3 |
| #71284 | 5 |