Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
406 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 76 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. #10604648 | C2 | semidirect |
| 4. #10604637 | C2 | semidirect |
| 6. #10598591 | C2 | semidirect |
| 7. #10598590 | C2 | semidirect |
| 352. C5 | #9314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617142 | 2 |
| #10612778 | 2 |
| #10604648 | 2 |
| #10604637 | 2 |
| #10604405 | 2 |
| #10598591 | 2 |
| #10598590 | 2 |
| #9314 | 5 |