Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
428 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 130 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. C5×#926 | C2 | semidirect |
| 3. C3×#4070 | C2 | semidirect |
| 5. #91530 | C2 | semidirect |
| 6. #91437 | C2 | semidirect |
| 7. #91403 | C2 | semidirect |
| 8. #91390 | C2 | semidirect |
| 9. #91384 | C2 | semidirect |
| 10. #91379 | C2 | semidirect |
| 11. #91331 | C2 | semidirect |
| 39. #4070 | D3 | semidirect |
| 68. #926 | D5 | semidirect |
| 225. C3×C5 | #552 | semidirect |
| 268. C5 | #5639 | semidirect |
| 285. C3 | #65863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#1220 | 2 |
| C5×#926 | 2 |
| C3×#4070 | 2 |
| #91562 | 2 |
| #91530 | 2 |
| #91437 | 2 |
| #91403 | 2 |
| #91390 | 2 |
| #91384 | 2 |
| #91379 | 2 |
| #91331 | 2 |
| #65863 | 3 |
| #5639 | 5 |