Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
1432 conjugacy classes of subgroups; only the 322 normal subgroups are shown.
This group has 1432 conjugacy classes of subgroups — too many to draw. Only its 322 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×#66159 | C2 | semidirect |
| 3. C3×#65532 | C2 | semidirect |
| 4. C3×#65529 | C2 | semidirect |
| 5. #10615855 | C3 | direct (N × H) |
| 11. C22×C3×Dic10 | C22 | semidirect |
| 14. C3×#4081 | C22 | semidirect |
| 15. C3×#4072 | C22 | semidirect |
| 17. C3×#3966 | C22 | semidirect |
| 20. #66159 | C2×C3 | semidirect |
| 21. #65532 | C2×C3 | semidirect |
| 22. #65529 | C2×C3 | semidirect |
| 54. C22×Dic10 | C22×C3 | semidirect |
| 57. #4081 | C22×C3 | semidirect |
| 58. #4072 | C22×C3 | semidirect |
| 60. #3966 | C22×C3 | semidirect |
| 233. C3×C5 | #3028 | semidirect |
| 268. C5 | C3×#3028 | semidirect |
| 279. C3 | #10615855 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#585 | 2 |
| C3×#66159 | 2 |
| C3×#65532 | 2 |
| C3×#65529 | 2 |
| #10615855 | 3 |
| C3×#3028 | 5 |