Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
292 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 58 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. #92000 | C2 | semidirect |
| 2. #91797 | C2 | semidirect |
| 3. #91375 | C2 | semidirect |
| 4. #91301 | C2 | semidirect |
| 5. C5×#824 | C2 | semidirect |
| 6. C3×#3957 | C2 | semidirect |
| 7. #90981 | C2 | semidirect |
| 33. #3957 | D3 | semidirect |
| 61. #824 | D5 | semidirect |
| 193. C3×C5 | #454 | semidirect |
| 237. C5 | #4827 | semidirect |
| 249. C3 | #65042 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #92000 | 2 |
| #91797 | 2 |
| #91375 | 2 |
| #91301 | 2 |
| C5×#824 | 2 |
| C3×#3957 | 2 |
| #90981 | 2 |
| #65042 | 3 |
| #4827 | 5 |