Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
320 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 96 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. #11746962 | C2 | semidirect |
| 5. #11745868 | C2 | semidirect |
| 6. #11745862 | C2 | semidirect |
| 7. #11745861 | C2 | semidirect |
| 242. C3×C5 | #1675 | semidirect |
| 281. C5 | #71133 | semidirect |
| 294. C3 | #10601926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×C3⋊#168 | 2 |
| C5×#5008 | 2 |
| C3×#65297 | 2 |
| #11746962 | 2 |
| #11745868 | 2 |
| #11745862 | 2 |
| #11745861 | 2 |
| #10601926 | 3 |
| #71133 | 5 |