Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 130 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×#946 | C2 | semidirect |
| 3. C3×#4092 | C2 | semidirect |
| 4. #91470 | C2 | semidirect |
| 7. #91362 | C2 | semidirect |
| 8. #91358 | C2 | semidirect |
| 9. #91342 | C2 | semidirect |
| 10. #91338 | C2 | semidirect |
| 11. #91325 | C2 | semidirect |
| 38. #4092 | D3 | semidirect |
| 65. #946 | D5 | semidirect |
| 225. C3×C5 | #556 | semidirect |
| 268. C5 | #5641 | semidirect |
| 285. C3 | #65975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic15 | 2 |
| C5×#946 | 2 |
| C3×#4092 | 2 |
| #91470 | 2 |
| #91464 | 2 |
| C4×#1201 | 2 |
| #91362 | 2 |
| #91358 | 2 |
| #91342 | 2 |
| #91338 | 2 |
| #91325 | 2 |
| #65975 | 3 |
| #5641 | 5 |