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. #91836 | C2 | semidirect |
| 2. C5×#947 | C2 | semidirect |
| 3. C3×Q8×Dic5 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 6. #91438 | C2 | semidirect |
| 7. #91435 | C2 | semidirect |
| 8. #91428 | C2 | semidirect |
| 9. #91427 | C2 | semidirect |
| 10. #91405 | C2 | semidirect |
| 11. #91350 | C2 | semidirect |
| 39. Q8×Dic5 | D3 | semidirect |
| 69. #947 | D5 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5585 | semidirect |
| 297. C3 | #66015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91836 | 2 |
| C5×#947 | 2 |
| C3×Q8×Dic5 | 2 |
| C4×#1204 | 2 |
| #91451 | 2 |
| #91438 | 2 |
| #91435 | 2 |
| #91428 | 2 |
| #91427 | 2 |
| #91405 | 2 |
| #91350 | 2 |
| #66015 | 3 |
| #5585 | 5 |