Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
200 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 60 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. #91468 | C2 | semidirect |
| 3. #91100 | C2 | semidirect |
| 5. C3×#3947 | C2 | semidirect |
| 6. #90975 | C2 | semidirect |
| 26. #3947 | D3 | semidirect |
| 144. C3×C5 | #489 | semidirect |
| 178. C5 | #4714 | semidirect |
| 190. C3 | #65054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91468 | 2 |
| #91373 | 2 |
| #91100 | 2 |
| C5×#821 | 2 |
| C3×#3947 | 2 |
| #90975 | 2 |
| #90967 | 2 |
| #65054 | 3 |
| #4714 | 5 |