Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
268 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 68 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×C8×D15 | C2 | semidirect |
| 2. C2×C5×D24 | C2 | semidirect |
| 3. #91466 | C2 | semidirect |
| 4. C3×#3950 | C2 | semidirect |
| 5. #90966 | C2 | semidirect |
| 21. #3950 | D3 | semidirect |
| 32. C3×C5×C8 | D4 | semidirect |
| 34. C2×D24 | D5 | semidirect |
| 52. C2×D15 | D8 | semidirect |
| 79. C5×C8 | D12 | semidirect |
| 101. C3×C8 | C22⋊D5 | semidirect |
| 123. C3×C5 | #466 | semidirect |
| 151. C8 | #1203 | semidirect |
| 157. C5 | #4883 | semidirect |
| 169. C3 | #65446 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×D15 | 2 |
| C2×C5×D24 | 2 |
| #91466 | 2 |
| C3×#3950 | 2 |
| #90966 | 2 |
| #65446 | 3 |
| #4883 | 5 |