Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
436 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 128 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×Dic3⋊C4 | C2 | semidirect |
| 3. C3×#4070 | C2 | semidirect |
| 4. #91556 | C2 | semidirect |
| 5. #91542 | C2 | semidirect |
| 6. #91433 | C2 | semidirect |
| 7. #91411 | C2 | semidirect |
| 8. #91345 | C2 | semidirect |
| 9. #91334 | C2 | semidirect |
| 37. #4070 | D3 | semidirect |
| 61. C2×Dic3⋊C4 | D5 | semidirect |
| 205. C3×C5 | #539 | semidirect |
| 246. C5 | #5645 | semidirect |
| 261. C3 | #65849 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91819 | 2 |
| C2×C5×Dic3⋊C4 | 2 |
| C3×#4070 | 2 |
| #91556 | 2 |
| #91542 | 2 |
| #91433 | 2 |
| #91411 | 2 |
| #91345 | 2 |
| #91334 | 2 |
| #65849 | 3 |
| #5645 | 5 |