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. #91825 | C2 | semidirect |
| 2. C5×D4×Dic3 | C2 | semidirect |
| 4. Dic3×C22⋊D5 | C2 | semidirect |
| 5. #91548 | C2 | semidirect |
| 6. #91530 | C2 | semidirect |
| 7. #91529 | C2 | semidirect |
| 8. C4×D5×Dic3 | C2 | semidirect |
| 9. #91384 | C2 | semidirect |
| 10. #91360 | C2 | semidirect |
| 11. #91340 | C2 | semidirect |
| 70. D4×Dic3 | D5 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5600 | semidirect |
| 293. C3 | #65891 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91825 | 2 |
| C5×D4×Dic3 | 2 |
| C3×#4084 | 2 |
| Dic3×C22⋊D5 | 2 |
| #91548 | 2 |
| #91530 | 2 |
| #91529 | 2 |
| C4×D5×Dic3 | 2 |
| #91384 | 2 |
| #91360 | 2 |
| #91340 | 2 |
| #65891 | 3 |
| #5600 | 5 |