Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
208 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 68 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×#948 | C2 | semidirect |
| 3. #91291 | C2 | semidirect |
| 4. C3×#3969 | C2 | semidirect |
| 5. #90992 | C2 | semidirect |
| 6. #90981 | C2 | semidirect |
| 7. #90952 | C2 | semidirect |
| 11. #6718 | C4 | semidirect |
| 12. #6717 | C4 | semidirect |
| 13. #6716 | C4 | semidirect |
| 14. #6715 | C4 | semidirect |
| 28. #3969 | D3 | semidirect |
| 49. #948 | D5 | semidirect |
| 160. C3×C5 | #444 | semidirect |
| 193. C5 | #4823 | semidirect |
| 202. C3 | #65434 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91839 | 2 |
| C5×#948 | 2 |
| #91291 | 2 |
| C3×#3969 | 2 |
| #90992 | 2 |
| #90981 | 2 |
| #90952 | 2 |
| #65434 | 3 |
| #4823 | 5 |