Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
164 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 2. D3×Dic20 | C2 | semidirect |
| 3. Dic120 | C2 | semidirect |
| 4. C5×#798 | C2 | semidirect |
| 5. C3×#3932 | C2 | semidirect |
| 6. #90947 | C2 | semidirect |
| 7. #90942 | C2 | semidirect |
| 27. #3932 | D3 | semidirect |
| 45. #798 | D5 | semidirect |
| 126. C3×C5 | #510 | semidirect |
| 151. C5 | #4915 | semidirect |
| 159. C3 | #65198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91273 | 2 |
| D3×Dic20 | 2 |
| Dic120 | 2 |
| C5×#798 | 2 |
| C3×#3932 | 2 |
| #90947 | 2 |
| #90942 | 2 |
| #65198 | 3 |
| #4915 | 5 |