Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. C5×#944 | C2 | semidirect |
| 3. C3×Q8×Dic5 | C2 | semidirect |
| 4. C4×#1204 | C2 | semidirect |
| 5. #91429 | C2 | semidirect |
| 7. #91402 | C2 | semidirect |
| 8. #91387 | C2 | semidirect |
| 10. #91345 | C2 | semidirect |
| 11. #91344 | C2 | semidirect |
| 41. Q8×Dic5 | D3 | semidirect |
| 66. #944 | D5 | semidirect |
| 220. C3×C5 | #556 | semidirect |
| 259. C5 | #5568 | semidirect |
| 274. C3 | #66066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91836 | 2 |
| C5×#944 | 2 |
| C3×Q8×Dic5 | 2 |
| C4×#1204 | 2 |
| #91429 | 2 |
| #91428 | 2 |
| #91402 | 2 |
| #91387 | 2 |
| #91375 | 2 |
| #91345 | 2 |
| #91344 | 2 |
| #66066 | 3 |
| #5568 | 5 |