Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
280 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 280 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×#6715 | C2 | semidirect |
| 2. C3×#4086 | C2 | semidirect |
| 3. #91418 | C2 | semidirect |
| 4. C2×#6653 | C2 | semidirect |
| 5. C5×#832 | C2 | semidirect |
| 6. #90982 | C2 | semidirect |
| 7. #90964 | C2 | semidirect |
| 23. #4086 | D3 | semidirect |
| 37. D60 | D4 | semidirect |
| 53. #832 | D5 | semidirect |
| 82. C3×Dic5 | D8 | semidirect |
| 160. Dic5 | #213 | semidirect |
| 174. C3×C5 | #459 | semidirect |
| 220. C5 | #5072 | semidirect |
| 236. C3 | #65075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#6715 | 2 |
| C3×#4086 | 2 |
| #91418 | 2 |
| C2×#6653 | 2 |
| C5×#832 | 2 |
| #90982 | 2 |
| #90964 | 2 |
| #65075 | 3 |
| #5072 | 5 |