Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
496 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 126 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. #92028 | C2 | semidirect |
| 2. Q16×D15 | C2 | semidirect |
| 3. C5×D3×Q16 | C2 | semidirect |
| 4. C3×#4065 | C2 | semidirect |
| 5. #91522 | C2 | semidirect |
| 6. #91518 | C2 | semidirect |
| 7. #91508 | C2 | semidirect |
| 8. #91277 | C2 | semidirect |
| 9. #91273 | C2 | semidirect |
| 10. #91265 | C2 | semidirect |
| 11. D5×Dic12 | C2 | semidirect |
| 45. #4065 | D3 | semidirect |
| 83. D3×Q16 | D5 | semidirect |
| 264. C3×C5 | #578 | semidirect |
| 313. C5 | #5771 | semidirect |
| 325. C3 | #66100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #92028 | 2 |
| Q16×D15 | 2 |
| C5×D3×Q16 | 2 |
| C3×#4065 | 2 |
| #91522 | 2 |
| #91518 | 2 |
| #91508 | 2 |
| #91277 | 2 |
| #91273 | 2 |
| #91265 | 2 |
| D5×Dic12 | 2 |
| #66100 | 3 |
| #5771 | 5 |