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. #91469 | C2 | semidirect |
| 4. C5×#815 | C2 | semidirect |
| 5. C3×#3948 | C2 | semidirect |
| 6. #90971 | C2 | semidirect |
| 27. #3948 | D3 | semidirect |
| 47. #815 | D5 | semidirect |
| 144. C3×C5 | #489 | semidirect |
| 178. C5 | #4794 | semidirect |
| 190. C3 | #65003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91469 | 2 |
| #91374 | 2 |
| #91105 | 2 |
| C5×#815 | 2 |
| C3×#3948 | 2 |
| #90971 | 2 |
| #90968 | 2 |
| #65003 | 3 |
| #4794 | 5 |