Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
360 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 116 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. #11746754 | C2 | semidirect |
| 4. C3×#64883 | C2 | semidirect |
| 5. #11746515 | C2 | semidirect |
| 23. #64883 | D3 | semidirect |
| 38. D3×#168 | C8 | semidirect |
| 205. C3×C5 | #1564 | semidirect |
| 242. C5 | #68527 | semidirect |
| 254. C3 | #10604695 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751754 | 2 |
| D3×C8×Dic5 | 2 |
| #11746754 | 2 |
| C3×#64883 | 2 |
| #11746515 | 2 |
| #10604695 | 3 |
| #68527 | 5 |