Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
406 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #10601606 | C2 | semidirect |
| 5. #10600649 | C2 | semidirect |
| 6. C5×#1291 | C2 | semidirect |
| 7. #10598242 | C2 | semidirect |
| 83. #1291 | D5 | semidirect |
| 338. C5 | #9314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611079 | 2 |
| #10610251 | 2 |
| #10601606 | 2 |
| #10601591 | 2 |
| #10600649 | 2 |
| C5×#1291 | 2 |
| #10598242 | 2 |
| #9314 | 5 |