Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
540 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 136 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×D15⋊Q8 | C2 | semidirect |
| 3. C5×#936 | C2 | semidirect |
| 4. C3×#4082 | C2 | semidirect |
| 5. #91576 | C2 | semidirect |
| 6. #91562 | C2 | semidirect |
| 7. #91389 | C2 | semidirect |
| 8. #91386 | C2 | semidirect |
| 9. #91376 | C2 | semidirect |
| 35. #4082 | D3 | semidirect |
| 62. #936 | D5 | semidirect |
| 198. C3×C5 | #536 | semidirect |
| 237. C5 | #5675 | semidirect |
| 250. C3 | #66009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6819 | 2 |
| C2×D15⋊Q8 | 2 |
| C5×#936 | 2 |
| C3×#4082 | 2 |
| #91576 | 2 |
| #91562 | 2 |
| #91389 | 2 |
| #91386 | 2 |
| #91376 | 2 |
| #66009 | 3 |
| #5675 | 5 |