Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
208 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 54 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. #91309 | C2 | semidirect |
| 3. C2×#6656 | C2 | semidirect |
| 4. #91288 | C2 | semidirect |
| 5. #91106 | C2 | semidirect |
| 6. C3×#3956 | C2 | semidirect |
| 7. #90959 | C2 | semidirect |
| 30. #3956 | D3 | semidirect |
| 160. C3×C5 | #471 | semidirect |
| 193. C5 | #4754 | semidirect |
| 202. C3 | #65489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#908 | 2 |
| #91309 | 2 |
| C2×#6656 | 2 |
| #91288 | 2 |
| #91106 | 2 |
| C3×#3956 | 2 |
| #90959 | 2 |
| #65489 | 3 |
| #4754 | 5 |