Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
228 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 4. C5×Dic3⋊C8 | C2 | semidirect |
| 5. C3×#3946 | C2 | semidirect |
| 6. Dic3⋊#168 | C2 | semidirect |
| 7. #90982 | C2 | semidirect |
| 28. #3946 | D3 | semidirect |
| 48. Dic3⋊C8 | D5 | semidirect |
| 149. C3×C5 | #424 | semidirect |
| 182. C5 | #4839 | semidirect |
| 194. C3 | #65128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×D15 | 2 |
| #91386 | 2 |
| C2×#6651 | 2 |
| C5×Dic3⋊C8 | 2 |
| C3×#3946 | 2 |
| Dic3⋊#168 | 2 |
| #90982 | 2 |
| #65128 | 3 |
| #4839 | 5 |