Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
220 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 60 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. C3×#4036 | C2 | semidirect |
| 3. #91093 | C2 | semidirect |
| 4. C5×#809 | C2 | semidirect |
| 5. #90968 | C2 | semidirect |
| 6. #90966 | C2 | semidirect |
| 7. #90952 | C2 | semidirect |
| 22. #4036 | D3 | semidirect |
| 48. #809 | D5 | semidirect |
| 152. C3×C5 | #490 | semidirect |
| 191. C5 | #5067 | semidirect |
| 205. C3 | #65053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4036 | 2 |
| #91451 | 2 |
| #91093 | 2 |
| C5×#809 | 2 |
| #90968 | 2 |
| #90966 | 2 |
| #90952 | 2 |
| #65053 | 3 |
| #5067 | 5 |