Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
300 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 96 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×C3×#704 | C2 | semidirect |
| 3. C3×#4013 | C2 | semidirect |
| 4. C3×#4005 | C2 | semidirect |
| 5. #65777 | C3 | direct (N × H) |
| 20. C2×#704 | C2×C3 | semidirect |
| 21. #4013 | C2×C3 | semidirect |
| 22. #4005 | C2×C3 | semidirect |
| 151. C3×C5 | #413 | semidirect |
| 192. C5 | C3×#413 | semidirect |
| 205. C3 | #65777 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#711 | 2 |
| C2×C3×#704 | 2 |
| C3×#4013 | 2 |
| C3×#4005 | 2 |
| #65777 | 3 |
| C3×#413 | 5 |