Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
392 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 4. #91813 | C2 | semidirect |
| 5. #91778 | C2 | semidirect |
| 6. #91777 | C2 | semidirect |
| 7. #91768 | C2 | semidirect |
| 8. #91768 | C2 | semidirect |
| 9. #91767 | C2 | semidirect |
| 194. C3×C5 | #563 | semidirect |
| 229. C5 | #5651 | semidirect |
| 242. C3 | #65985 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#123 | 2 |
| #91825 | 2 |
| #91824 | 2 |
| #91813 | 2 |
| #91778 | 2 |
| #91777 | 2 |
| #91768 | 2 |
| #91767 | 2 |
| #65985 | 3 |
| #5651 | 5 |