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×C5×Dic6 | C2 | semidirect |
| 3. #91815 | C2 | semidirect |
| 4. #91536 | C2 | semidirect |
| 5. #91385 | C2 | semidirect |
| 6. #91368 | C2 | semidirect |
| 7. #91359 | C2 | semidirect |
| 48. C22×Dic6 | D5 | semidirect |
| 161. C3×C5 | #536 | semidirect |
| 195. C5 | #5825 | semidirect |
| 206. C3 | #66150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C5×Dic6 | 2 |
| C2×C3×#709 | 2 |
| #91815 | 2 |
| #91536 | 2 |
| #91385 | 2 |
| #91368 | 2 |
| #91359 | 2 |
| #66150 | 3 |
| #5825 | 5 |