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. Q8×Dic15 | C2 | semidirect |
| 2. C5×#947 | C2 | semidirect |
| 3. C3×#4092 | C2 | semidirect |
| 5. #91442 | C2 | semidirect |
| 6. #91435 | C2 | semidirect |
| 7. #91414 | C2 | semidirect |
| 8. #91400 | C2 | semidirect |
| 9. C4×D5×Dic3 | C2 | semidirect |
| 10. #91381 | C2 | semidirect |
| 11. #91342 | C2 | semidirect |
| 38. #4092 | D3 | semidirect |
| 67. #947 | D5 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5624 | semidirect |
| 293. C3 | #66014 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic15 | 2 |
| C5×#947 | 2 |
| C3×#4092 | 2 |
| #91449 | 2 |
| #91442 | 2 |
| #91435 | 2 |
| #91414 | 2 |
| #91400 | 2 |
| C4×D5×Dic3 | 2 |
| #91381 | 2 |
| #91342 | 2 |
| #66014 | 3 |
| #5624 | 5 |