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 |
|---|---|---|
| 2. C5×#936 | C2 | semidirect |
| 3. C3×D4×Dic5 | C2 | semidirect |
| 4. #91562 | C2 | semidirect |
| 5. #91552 | C2 | semidirect |
| 6. #91546 | C2 | semidirect |
| 7. #91526 | C2 | semidirect |
| 8. C4×#1204 | C2 | semidirect |
| 9. #91428 | C2 | semidirect |
| 10. #91375 | C2 | semidirect |
| 11. #91344 | C2 | semidirect |
| 41. D4×Dic5 | D3 | semidirect |
| 69. #936 | D5 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5559 | semidirect |
| 297. C3 | #66015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91829 | 2 |
| C5×#936 | 2 |
| C3×D4×Dic5 | 2 |
| #91562 | 2 |
| #91552 | 2 |
| #91546 | 2 |
| #91526 | 2 |
| C4×#1204 | 2 |
| #91428 | 2 |
| #91375 | 2 |
| #91344 | 2 |
| #66015 | 3 |
| #5559 | 5 |