Finite Group DatabasebetaFinite Group DatabasebetaOrder 960.
468 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 134 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×#887 | C2 | semidirect |
| 3. C3×#4036 | C2 | semidirect |
| 4. #91433 | C2 | semidirect |
| 5. #91428 | C2 | semidirect |
| 6. #91428 | C2 | semidirect |
| 7. #91403 | C2 | semidirect |
| 8. C4×#1200 | C2 | semidirect |
| 9. #91383 | C2 | semidirect |
| 10. #91375 | C2 | semidirect |
| 11. #91345 | C2 | semidirect |
| 43. #4036 | D3 | semidirect |
| 74. #887 | D5 | semidirect |
| 231. C3×C5 | #529 | semidirect |
| 276. C5 | #5691 | semidirect |
| 293. C3 | #65914 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #91784 | 2 |
| C5×#887 | 2 |
| C3×#4036 | 2 |
| #91433 | 2 |
| #91428 | 2 |
| #91403 | 2 |
| C4×#1200 | 2 |
| #91383 | 2 |
| #91375 | 2 |
| #91345 | 2 |
| #65914 | 3 |
| #5691 | 5 |