Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
464 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 100 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. #11746743 | C2 | semidirect |
| 5. C3×#64872 | C2 | semidirect |
| 6. #11746493 | C2 | semidirect |
| 7. #11746492 | C2 | semidirect |
| 35. #64872 | D3 | semidirect |
| 335. C3×C5 | #1493 | semidirect |
| 385. C5 | #68240 | semidirect |
| 402. C3 | #10604513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11753456 | 2 |
| #11751921 | 2 |
| C4×D3×#170 | 2 |
| #11746743 | 2 |
| C3×#64872 | 2 |
| #11746493 | 2 |
| #11746492 | 2 |
| #10604513 | 3 |
| #68240 | 5 |