Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 200 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 |
|---|---|---|
| 3. #11746276 | C2 | semidirect |
| 4. C3×#64675 | C2 | semidirect |
| 5. C3⋊C8×#168 | C2 | semidirect |
| 20. #64675 | D3 | semidirect |
| 30. C5×D3×C8 | C8 | semidirect |
| 98. D3×C8 | #168 | semidirect |
| 150. C3×C5 | #1450 | semidirect |
| 175. C5 | #68068 | semidirect |
| 183. C3 | #10600517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×D3×C8 | 2 |
| #11746876 | 2 |
| #11746276 | 2 |
| C3×#64675 | 2 |
| C3⋊C8×#168 | 2 |
| #10600517 | 3 |
| #68068 | 5 |