Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
196 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 139. C3×C5 | #487 | semidirect |
| 169. C5 | #5079 | semidirect |
| 179. C3 | #65081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#4090 | 2 |
| #91468 | 2 |
| #91119 | 2 |
| C5×#835 | 2 |
| #90971 | 2 |
| #90970 | 2 |
| Dic5×C3⋊C8 | 2 |
| #65081 | 3 |
| #5079 | 5 |