Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
216 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 216 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. #91469 | C2 | semidirect |
| 3. #91092 | C2 | semidirect |
| 4. C3×#3940 | C2 | semidirect |
| 5. Dic3⋊#168 | C2 | semidirect |
| 26. #3940 | D3 | semidirect |
| 35. C5×D12 | Q8 | semidirect |
| 114. D12 | Dic10 | semidirect |
| 141. C3×C5 | #476 | semidirect |
| 174. C5 | #4870 | semidirect |
| 186. C3 | #65297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#893 | 2 |
| #91469 | 2 |
| #91092 | 2 |
| C3×#3940 | 2 |
| Dic3⋊#168 | 2 |
| #90967 | 2 |
| #90966 | 2 |
| #65297 | 3 |
| #4870 | 5 |