Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
524 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 146 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×#65526 | C2 | semidirect |
| 3. C3×#64762 | C2 | semidirect |
| 4. #10602655 | C3 | direct (N × H) |
| 13. C3×#3968 | C22 | semidirect |
| 17. #65526 | C2×C3 | semidirect |
| 18. #64762 | C2×C3 | semidirect |
| 48. #3968 | C22×C3 | semidirect |
| 214. C3×C5 | #2134 | semidirect |
| 256. C5 | C3×#2134 | semidirect |
| 269. C3 | #10602655 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#535 | 2 |
| C3×#65526 | 2 |
| C3×#64762 | 2 |
| #10602655 | 3 |
| C3×#2134 | 5 |