Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
260 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 66 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. C2×#6717 | C2 | semidirect |
| 2. C5×#947 | C2 | semidirect |
| 3. C2×C3×#689 | C2 | semidirect |
| 4. #91374 | C2 | semidirect |
| 5. C2×#6656 | C2 | semidirect |
| 7. Dic3×#168 | C2 | semidirect |
| 24. C2×#689 | D3 | semidirect |
| 48. #947 | D5 | semidirect |
| 156. C3×C5 | #495 | semidirect |
| 191. C5 | #5191 | semidirect |
| 202. C3 | #65348 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6717 | 2 |
| C5×#947 | 2 |
| C2×C3×#689 | 2 |
| #91374 | 2 |
| C2×#6656 | 2 |
| C2×#6654 | 2 |
| Dic3×#168 | 2 |
| #65348 | 3 |
| #5191 | 5 |