Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
416 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. #11751165 | C2 | semidirect |
| 3. #11751161 | C2 | semidirect |
| 4. #11751156 | C2 | semidirect |
| 5. #11746364 | C2 | semidirect |
| 6. #11746361 | C2 | semidirect |
| 7. #11746361 | C2 | semidirect |
| 328. C3×C5 | #1661 | semidirect |
| 377. C5 | #71953 | semidirect |
| 393. C3 | #10602746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#562 | 2 |
| #11751165 | 2 |
| #11751161 | 2 |
| #11751156 | 2 |
| #11746364 | 2 |
| #11746361 | 2 |
| #10602746 | 3 |
| #71953 | 5 |