Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
540 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 160 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. C22×Dic30 | C2 | semidirect |
| 3. C3×#4072 | C2 | semidirect |
| 4. #91543 | C2 | semidirect |
| 5. #91376 | C2 | semidirect |
| 6. #91373 | C2 | semidirect |
| 7. #91365 | C2 | semidirect |
| 30. #4072 | D3 | semidirect |
| 161. C3×C5 | #536 | semidirect |
| 195. C5 | #5526 | semidirect |
| 206. C3 | #66159 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic30 | 2 |
| C2×C5×#235 | 2 |
| C3×#4072 | 2 |
| #91543 | 2 |
| #91376 | 2 |
| #91373 | 2 |
| #91365 | 2 |
| #66159 | 3 |
| #5526 | 5 |