Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
220 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 58 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. #91384 | C2 | semidirect |
| 3. #91099 | C2 | semidirect |
| 4. C5×#821 | C2 | semidirect |
| 5. C3×#3953 | C2 | semidirect |
| 6. #90966 | C2 | semidirect |
| 7. #90964 | C2 | semidirect |
| 25. #3953 | D3 | semidirect |
| 47. #821 | D5 | semidirect |
| 152. C3×C5 | #490 | semidirect |
| 191. C5 | #4764 | semidirect |
| 205. C3 | #65053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91463 | 2 |
| #91384 | 2 |
| #91099 | 2 |
| C5×#821 | 2 |
| C3×#3953 | 2 |
| #90966 | 2 |
| #90964 | 2 |
| #65053 | 3 |
| #4764 | 5 |