Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
212 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 212 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 |
|---|---|---|
| 2. #91358 | C2 | semidirect |
| 3. #91101 | C2 | semidirect |
| 4. C5×#821 | C2 | semidirect |
| 5. C3×#3952 | C2 | semidirect |
| 6. #90988 | C2 | semidirect |
| 7. #90967 | C2 | semidirect |
| 25. #3952 | D3 | semidirect |
| 46. #821 | D5 | semidirect |
| 149. C3×C5 | #482 | semidirect |
| 187. C5 | #4737 | semidirect |
| 201. C3 | #65068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91449 | 2 |
| #91358 | 2 |
| #91101 | 2 |
| C5×#821 | 2 |
| C3×#3952 | 2 |
| #90988 | 2 |
| #90967 | 2 |
| #65068 | 3 |
| #4737 | 5 |