Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 102 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. #11746753 | C2 | semidirect |
| 4. C3×#64882 | C2 | semidirect |
| 5. #11746513 | C2 | semidirect |
| 23. #64882 | D3 | semidirect |
| 210. C3×C5 | #1568 | semidirect |
| 249. C5 | #68570 | semidirect |
| 262. C3 | #10604699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751807 | 2 |
| D3×C8×Dic5 | 2 |
| #11746753 | 2 |
| C3×#64882 | 2 |
| #11746513 | 2 |
| #10604699 | 3 |
| #68570 | 5 |