Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
220 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 76 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. C5×#803 | C2 | semidirect |
| 3. C3×#3935 | C2 | semidirect |
| 4. #90983 | C2 | semidirect |
| 21. #3935 | D3 | semidirect |
| 38. #803 | D5 | semidirect |
| 120. C3×C5 | #432 | semidirect |
| 151. C5 | #4705 | semidirect |
| 162. C3 | #64994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C42×D15 | 2 |
| C5×#803 | 2 |
| C3×#3935 | 2 |
| #90983 | 2 |
| #90957 | 2 |
| #64994 | 3 |
| #4705 | 5 |