Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
248 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 62 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. #91428 | C2 | semidirect |
| 5. C3×#3967 | C2 | semidirect |
| 6. Dic3⋊#168 | C2 | semidirect |
| 7. #90966 | C2 | semidirect |
| 27. #3967 | D3 | semidirect |
| 46. #947 | D5 | semidirect |
| 163. C3×C5 | #463 | semidirect |
| 203. C5 | #4819 | semidirect |
| 217. C3 | #65346 | 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 |
| #91428 | 2 |
| C2×#6654 | 2 |
| C3×#3967 | 2 |
| Dic3⋊#168 | 2 |
| #90966 | 2 |
| #65346 | 3 |
| #4819 | 5 |