Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
292 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 63 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. #92101 | C2 | semidirect |
| 2. #91838 | C2 | semidirect |
| 3. #91797 | C2 | semidirect |
| 4. #91764 | C2 | semidirect |
| 5. C3×C5×#104 | C2 | semidirect |
| 6. #91108 | C2 | semidirect |
| 7. #91089 | C2 | semidirect |
| 31. C5×#104 | D3 | semidirect |
| 60. C3×#104 | D5 | semidirect |
| 136. #104 | D15 | semidirect |
| 193. C3×C5 | #454 | semidirect |
| 237. C5 | #4827 | semidirect |
| 249. C3 | #65116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #92101 | 2 |
| #91838 | 2 |
| #91797 | 2 |
| #91764 | 2 |
| C3×C5×#104 | 2 |
| #91108 | 2 |
| #91089 | 2 |
| #65116 | 3 |
| #4827 | 5 |