Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 72 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. C2×C5×Dic12 | C2 | semidirect |
| 3. #91376 | C2 | semidirect |
| 5. C2×#6663 | C2 | semidirect |
| 7. C3×#3947 | C2 | semidirect |
| 29. #3947 | D3 | semidirect |
| 47. C2×Dic12 | D5 | semidirect |
| 153. C3×C5 | #497 | semidirect |
| 185. C5 | #4715 | semidirect |
| 195. C3 | #65479 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6706 | 2 |
| C2×C5×Dic12 | 2 |
| #91376 | 2 |
| #91375 | 2 |
| C2×#6663 | 2 |
| C2×#6660 | 2 |
| C3×#3947 | 2 |
| #65479 | 3 |
| #4715 | 5 |