Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
304 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 304 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 |
|---|---|---|
| 2. C2×#6716 | C2 | semidirect |
| 3. #91360 | C2 | semidirect |
| 4. C2×#6662 | C2 | semidirect |
| 5. C5×#832 | C2 | semidirect |
| 6. #90970 | C2 | semidirect |
| 7. #90955 | C2 | semidirect |
| 56. #832 | D5 | semidirect |
| 180. C3×C5 | #452 | semidirect |
| 223. C5 | #5239 | semidirect |
| 237. C3 | #65072 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#711 | 2 |
| C2×#6716 | 2 |
| #91360 | 2 |
| C2×#6662 | 2 |
| C5×#832 | 2 |
| #90970 | 2 |
| #90955 | 2 |
| #65072 | 3 |
| #5239 | 5 |