Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
472 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 472 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. D4×Dic15 | C2 | semidirect |
| 3. C3×#4082 | C2 | semidirect |
| 4. #67⋊Dic5 | C2 | semidirect |
| 5. #91555 | C2 | semidirect |
| 6. #91543 | C2 | semidirect |
| 7. #91525 | C2 | semidirect |
| 8. C4×#1204 | C2 | semidirect |
| 9. Dic5×D12 | C2 | semidirect |
| 10. #91370 | C2 | semidirect |
| 11. Dic3×Dic10 | C2 | semidirect |
| 40. #4082 | D3 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5681 | semidirect |
| 297. C3 | #66047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic15 | 2 |
| C5×#940 | 2 |
| C3×#4082 | 2 |
| #67⋊Dic5 | 2 |
| #91555 | 2 |
| #91543 | 2 |
| #91525 | 2 |
| C4×#1204 | 2 |
| Dic5×D12 | 2 |
| #91370 | 2 |
| Dic3×Dic10 | 2 |
| #66047 | 3 |
| #5681 | 5 |