Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
432 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 106 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×#65484 | C2 | semidirect |
| 3. C3×#65426 | C2 | semidirect |
| 4. C3×#64786 | C2 | semidirect |
| 5. C3×#64773 | C2 | semidirect |
| 6. #10602906 | C3 | direct (N × H) |
| 14. C2×C3×Dic20 | C22 | semidirect |
| 17. C3×#3949 | C22 | semidirect |
| 19. C3×#3944 | C22 | semidirect |
| 22. #65484 | C2×C3 | semidirect |
| 23. #65426 | C2×C3 | semidirect |
| 24. #64786 | C2×C3 | semidirect |
| 25. #64773 | C2×C3 | semidirect |
| 62. C2×Dic20 | C22×C3 | semidirect |
| 65. #3949 | C22×C3 | semidirect |
| 67. #3944 | C22×C3 | semidirect |
| 261. C3×C5 | #2191 | semidirect |
| 302. C5 | C3×#2191 | semidirect |
| 314. C3 | #10602906 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#575 | 2 |
| C3×#65484 | 2 |
| C3×#65426 | 2 |
| C3×#64786 | 2 |
| C3×#64773 | 2 |
| #10602906 | 3 |
| C3×#2191 | 5 |