Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
456 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 76 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. C3×#65349 | C2 | semidirect |
| 3. #11746904 | C2 | semidirect |
| 4. #11746361 | C2 | semidirect |
| 5. #11745847 | C2 | semidirect |
| 15. C3×#4015 | C22 | semidirect |
| 16. #91087 | C22 | semidirect |
| 17. C3×#3935 | C22 | semidirect |
| 22. #65349 | D3 | semidirect |
| 59. #4015 | C2×D3 | semidirect |
| 63. #3935 | C2×D3 | semidirect |
| 241. C3×C5 | #1659 | semidirect |
| 281. C5 | #71329 | semidirect |
| 294. C3 | #10602742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#5683 | 2 |
| C3×#65349 | 2 |
| #11746904 | 2 |
| #11746361 | 2 |
| #11745847 | 2 |
| #10602742 | 3 |
| #71329 | 5 |