Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 66 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. C5×#897 | C2 | semidirect |
| 3. C2×#6655 | C2 | semidirect |
| 4. C2×D3×#168 | C2 | semidirect |
| 5. #91092 | C2 | semidirect |
| 6. C3×#3941 | C2 | semidirect |
| 7. #90973 | C2 | semidirect |
| 28. #3941 | D3 | semidirect |
| 44. C3⋊#168 | D4 | semidirect |
| 49. #897 | D5 | semidirect |
| 70. C2×C5×D3 | SD16 | semidirect |
| 163. C3×C5 | #465 | semidirect |
| 170. C2×D3 | #688 | semidirect |
| 203. C5 | #4778 | semidirect |
| 217. C3 | #65337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#897 | 2 |
| #91456 | 2 |
| C2×#6655 | 2 |
| C2×D3×#168 | 2 |
| #91092 | 2 |
| C3×#3941 | 2 |
| #90973 | 2 |
| #65337 | 3 |
| #4778 | 5 |