Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 1. #91779 | C2 | semidirect |
| 2. C5×#893 | C2 | semidirect |
| 3. C3×#4043 | C2 | semidirect |
| 5. #91441 | C2 | semidirect |
| 6. #91414 | C2 | semidirect |
| 7. C4×D5×Dic3 | C2 | semidirect |
| 8. #91370 | C2 | semidirect |
| 9. #91341 | C2 | semidirect |
| 10. #91338 | C2 | semidirect |
| 11. Dic3×Dic10 | C2 | semidirect |
| 42. #4043 | D3 | semidirect |
| 72. #893 | D5 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5624 | semidirect |
| 293. C3 | #65891 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91779 | 2 |
| C5×#893 | 2 |
| C3×#4043 | 2 |
| #91449 | 2 |
| #91441 | 2 |
| #91414 | 2 |
| C4×D5×Dic3 | 2 |
| #91370 | 2 |
| #91341 | 2 |
| #91338 | 2 |
| Dic3×Dic10 | 2 |
| #65891 | 3 |
| #5624 | 5 |