Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
256 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 256 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×#6716 | C2 | semidirect |
| 3. #91340 | C2 | semidirect |
| 4. C2×#6659 | C2 | semidirect |
| 5. C3×#3964 | C2 | semidirect |
| 6. Dic3⋊#168 | C2 | semidirect |
| 7. #90966 | C2 | semidirect |
| 28. #3964 | D3 | semidirect |
| 37. Dic30 | D4 | semidirect |
| 80. C5×Dic3 | SD16 | semidirect |
| 166. C3×C5 | #460 | semidirect |
| 179. Dic3 | #687 | semidirect |
| 207. C5 | #4762 | semidirect |
| 221. C3 | #65364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6716 | 2 |
| C5×#940 | 2 |
| #91340 | 2 |
| C2×#6659 | 2 |
| C3×#3964 | 2 |
| Dic3⋊#168 | 2 |
| #90966 | 2 |
| #65364 | 3 |
| #4762 | 5 |