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 |
|---|---|---|
| 1. Q8×Dic15 | C2 | semidirect |
| 2. C5×#947 | C2 | semidirect |
| 3. C3×#4093 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 5. #91464 | C2 | semidirect |
| 7. #91457 | C2 | semidirect |
| 8. #91442 | C2 | semidirect |
| 9. Dic3×D20 | C2 | semidirect |
| 10. Dic5×D12 | C2 | semidirect |
| 11. #91414 | C2 | semidirect |
| 38. #4093 | D3 | semidirect |
| 68. #947 | D5 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5681 | semidirect |
| 297. C3 | #66015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic15 | 2 |
| C5×#947 | 2 |
| C3×#4093 | 2 |
| C4×#1204 | 2 |
| #91464 | 2 |
| #91463 | 2 |
| #91457 | 2 |
| #91442 | 2 |
| Dic3×D20 | 2 |
| Dic5×D12 | 2 |
| #91414 | 2 |
| #66015 | 3 |
| #5681 | 5 |