Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
386 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 93 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. #10602628 | C2 | semidirect |
| 3. #10602621 | C2 | semidirect |
| 6. #10600629 | C2 | semidirect |
| 7. #10598151 | C2 | semidirect |
| 349. C5 | #10547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3135 | 2 |
| #10602628 | 2 |
| #10602621 | 2 |
| #10602604 | 2 |
| #10602597 | 2 |
| #10600629 | 2 |
| #10598151 | 2 |
| #10547 | 5 |