Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
180 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 130. C3×C5 | #479 | semidirect |
| 157. C5 | #4857 | semidirect |
| 167. C3 | #65311 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#887 | 2 |
| #91381 | 2 |
| #91091 | 2 |
| C3×#3940 | 2 |
| Dic3⋊#168 | 2 |
| #90973 | 2 |
| #90972 | 2 |
| #65311 | 3 |
| #4857 | 5 |