Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
424 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 132 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. #91781 | C2 | semidirect |
| 2. C5×#887 | C2 | semidirect |
| 3. C3×#4038 | C2 | semidirect |
| 4. #91469 | C2 | semidirect |
| 5. C4×#1204 | C2 | semidirect |
| 7. #91387 | C2 | semidirect |
| 8. #91383 | C2 | semidirect |
| 9. #91366 | C2 | semidirect |
| 10. #91359 | C2 | semidirect |
| 43. #4038 | D3 | semidirect |
| 70. #887 | D5 | semidirect |
| 225. C3×C5 | #556 | semidirect |
| 268. C5 | #5533 | semidirect |
| 285. C3 | #65918 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91781 | 2 |
| C5×#887 | 2 |
| C3×#4038 | 2 |
| #91469 | 2 |
| C4×#1204 | 2 |
| C4×#1202 | 2 |
| #91387 | 2 |
| #91383 | 2 |
| #91366 | 2 |
| #91359 | 2 |
| #91353 | 2 |
| #65918 | 3 |
| #5533 | 5 |