Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 136 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. #91779 | C2 | semidirect |
| 3. C3×#4033 | C2 | semidirect |
| 4. #91423 | C2 | semidirect |
| 5. Dic5×D12 | C2 | semidirect |
| 6. Dic5×D12 | C2 | semidirect |
| 7. #91398 | C2 | semidirect |
| 8. C4×D3×Dic5 | C2 | semidirect |
| 9. #91370 | C2 | semidirect |
| 10. #91369 | C2 | semidirect |
| 11. #91342 | C2 | semidirect |
| 45. #4033 | D3 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5580 | semidirect |
| 293. C3 | #65934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91779 | 2 |
| C5×#895 | 2 |
| C3×#4033 | 2 |
| #91423 | 2 |
| Dic5×D12 | 2 |
| #91398 | 2 |
| C4×D3×Dic5 | 2 |
| #91370 | 2 |
| #91369 | 2 |
| #91342 | 2 |
| #65934 | 3 |
| #5580 | 5 |