Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
492 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 120 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. #11746853 | C2 | semidirect |
| 3. #11746365 | C2 | semidirect |
| 4. C3×#64764 | C2 | semidirect |
| 5. #11745862 | C2 | semidirect |
| 23. #64764 | D3 | semidirect |
| 208. C3×C5 | #1543 | semidirect |
| 246. C5 | #68382 | semidirect |
| 258. C3 | #10602598 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5716 | 2 |
| #11746853 | 2 |
| #11746365 | 2 |
| C3×#64764 | 2 |
| #11745862 | 2 |
| #10602598 | 3 |
| #68382 | 5 |