Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
260 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 72 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 |
|---|---|---|
| 1. C2×#6706 | C2 | semidirect |
| 2. C2×C5×#204 | C2 | semidirect |
| 3. #91375 | C2 | semidirect |
| 4. #91373 | C2 | semidirect |
| 5. C2×#6663 | C2 | semidirect |
| 7. C3×C8×Dic5 | C2 | semidirect |
| 29. C8×Dic5 | D3 | semidirect |
| 49. C2×#204 | D5 | semidirect |
| 156. C3×C5 | #495 | semidirect |
| 191. C5 | #4696 | semidirect |
| 202. C3 | #65457 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6706 | 2 |
| C2×C5×#204 | 2 |
| #91375 | 2 |
| #91373 | 2 |
| C2×#6663 | 2 |
| C2×#6654 | 2 |
| C3×C8×Dic5 | 2 |
| #65457 | 3 |
| #4696 | 5 |