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×Q8×Dic3 | C2 | semidirect |
| 3. C3×#4093 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 6. #91434 | C2 | semidirect |
| 7. #91418 | C2 | semidirect |
| 8. #91413 | C2 | semidirect |
| 9. #91395 | C2 | semidirect |
| 10. #91356 | C2 | semidirect |
| 11. #91353 | C2 | semidirect |
| 39. #4093 | D3 | semidirect |
| 69. Q8×Dic3 | D5 | semidirect |
| 234. C3×C5 | #559 | semidirect |
| 280. C5 | #5681 | semidirect |
| 297. C3 | #65919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91836 | 2 |
| C5×Q8×Dic3 | 2 |
| C3×#4093 | 2 |
| C4×#1204 | 2 |
| #91458 | 2 |
| #91434 | 2 |
| #91418 | 2 |
| #91413 | 2 |
| #91395 | 2 |
| #91356 | 2 |
| #91353 | 2 |
| #65919 | 3 |
| #5681 | 5 |