Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 134 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. #91835 | C2 | semidirect |
| 2. C5×#947 | C2 | semidirect |
| 3. C3×Q8×Dic5 | C2 | semidirect |
| 5. #91438 | C2 | semidirect |
| 6. Dic5×D12 | C2 | semidirect |
| 7. #91405 | C2 | semidirect |
| 8. C4×#1200 | C2 | semidirect |
| 9. #91398 | C2 | semidirect |
| 10. #91381 | C2 | semidirect |
| 11. #91341 | C2 | semidirect |
| 39. Q8×Dic5 | D3 | semidirect |
| 67. #947 | D5 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5580 | semidirect |
| 293. C3 | #66014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91835 | 2 |
| C5×#947 | 2 |
| C3×Q8×Dic5 | 2 |
| #91466 | 2 |
| #91438 | 2 |
| Dic5×D12 | 2 |
| #91405 | 2 |
| C4×#1200 | 2 |
| #91398 | 2 |
| #91381 | 2 |
| #91341 | 2 |
| #66014 | 3 |
| #5580 | 5 |