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. #91825 | C2 | semidirect |
| 3. C3×D4×Dic5 | C2 | semidirect |
| 4. #91555 | C2 | semidirect |
| 5. Dic5×#67 | C2 | semidirect |
| 6. #91531 | C2 | semidirect |
| 7. #91528 | C2 | semidirect |
| 8. C4×D3×Dic5 | C2 | semidirect |
| 9. #91384 | C2 | semidirect |
| 10. #91365 | C2 | semidirect |
| 11. #91333 | C2 | semidirect |
| 41. D4×Dic5 | D3 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5557 | semidirect |
| 293. C3 | #65934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91825 | 2 |
| C5×#938 | 2 |
| C3×D4×Dic5 | 2 |
| #91555 | 2 |
| Dic5×#67 | 2 |
| #91531 | 2 |
| #91528 | 2 |
| C4×D3×Dic5 | 2 |
| #91384 | 2 |
| #91365 | 2 |
| #91333 | 2 |
| #65934 | 3 |
| #5557 | 5 |