Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
520 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 114 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. C2×#91233 | C2 | semidirect |
| 3. C3×#65758 | C2 | semidirect |
| 4. #11746509 | C2 | semidirect |
| 5. #11746508 | C2 | semidirect |
| 26. #65758 | D3 | semidirect |
| 344. C3×C5 | #1547 | semidirect |
| 407. C5 | #70503 | semidirect |
| 428. C3 | #10604486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11754330 | 2 |
| C2×#91233 | 2 |
| C3×#65758 | 2 |
| #11746509 | 2 |
| #11746508 | 2 |
| #10604486 | 3 |
| #70503 | 5 |