Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
472 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 472 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. #91776 | C2 | semidirect |
| 2. C5×#893 | C2 | semidirect |
| 3. C3×#4039 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 5. #91464 | C2 | semidirect |
| 7. #91452 | C2 | semidirect |
| 8. #91447 | C2 | semidirect |
| 9. C4×#1201 | C2 | semidirect |
| 10. #91373 | C2 | semidirect |
| 11. #91364 | C2 | semidirect |
| 42. #4039 | D3 | semidirect |
| 72. #893 | D5 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5559 | semidirect |
| 297. C3 | #65893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91776 | 2 |
| C5×#893 | 2 |
| C3×#4039 | 2 |
| C4×#1204 | 2 |
| #91464 | 2 |
| #91463 | 2 |
| #91452 | 2 |
| #91447 | 2 |
| C4×#1201 | 2 |
| #91373 | 2 |
| #91364 | 2 |
| #65893 | 3 |
| #5559 | 5 |