Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
304 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 71 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. #91813 | C2 | semidirect |
| 3. C2×Dic60 | C2 | semidirect |
| 4. C2×#6706 | C2 | semidirect |
| 5. C3×C5×C22⋊C8 | C2 | semidirect |
| 6. #91105 | C2 | semidirect |
| 7. #91100 | C2 | semidirect |
| 29. C5×C22⋊C8 | D3 | semidirect |
| 55. C3×C22⋊C8 | D5 | semidirect |
| 127. C22⋊C8 | D15 | semidirect |
| 180. C3×C5 | #452 | semidirect |
| 223. C5 | #4733 | semidirect |
| 237. C3 | #65022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6817 | 2 |
| #91813 | 2 |
| C2×Dic60 | 2 |
| C2×#6706 | 2 |
| C3×C5×C22⋊C8 | 2 |
| #91105 | 2 |
| #91100 | 2 |
| #65022 | 3 |
| #4733 | 5 |