Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 132 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×#946 | C2 | semidirect |
| 3. C3×Q8×Dic5 | C2 | semidirect |
| 4. #91468 | C2 | semidirect |
| 7. #91347 | C2 | semidirect |
| 8. #91345 | C2 | semidirect |
| 9. #91341 | C2 | semidirect |
| 10. #91338 | C2 | semidirect |
| 11. #91323 | C2 | semidirect |
| 39. Q8×Dic5 | D3 | semidirect |
| 66. #946 | D5 | semidirect |
| 225. C3×C5 | #556 | semidirect |
| 268. C5 | #5584 | semidirect |
| 285. C3 | #65975 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91835 | 2 |
| C5×#946 | 2 |
| C3×Q8×Dic5 | 2 |
| #91468 | 2 |
| C4×#1203 | 2 |
| #91350 | 2 |
| #91347 | 2 |
| #91345 | 2 |
| #91341 | 2 |
| #91338 | 2 |
| #91323 | 2 |
| #65975 | 3 |
| #5584 | 5 |