Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
192 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 58 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. #91384 | C2 | semidirect |
| 3. C8×Dic15 | C2 | semidirect |
| 5. C3×#3948 | C2 | semidirect |
| 6. #90970 | C2 | semidirect |
| 25. #3948 | D3 | semidirect |
| 141. C3×C5 | #488 | semidirect |
| 174. C5 | #4800 | semidirect |
| 186. C3 | #65057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91384 | 2 |
| #91370 | 2 |
| C8×Dic15 | 2 |
| C5×#821 | 2 |
| C3×#3948 | 2 |
| #90970 | 2 |
| #90966 | 2 |
| #65057 | 3 |
| #4800 | 5 |