Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
236 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 90 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. #90983 | C2 | semidirect |
| 5. #90951 | C2 | semidirect |
| 27. C2×Dic15 | C8 | semidirect |
| 120. C3×C5 | #431 | semidirect |
| 151. C5 | #4718 | semidirect |
| 162. C3 | #65007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic15 | 2 |
| C5×#830 | 2 |
| C3×C22⋊#168 | 2 |
| #90983 | 2 |
| #90951 | 2 |
| #65007 | 3 |
| #4718 | 5 |