Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
472 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 101 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. #10602604 | C2 | semidirect |
| 3. #10602597 | C2 | semidirect |
| 4. #10600629 | C2 | semidirect |
| 5. #10598151 | C2 | semidirect |
| 275. C5 | #10546 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3150 | 2 |
| #10602604 | 2 |
| #10602597 | 2 |
| #10600629 | 2 |
| #10598151 | 2 |
| #10546 | 5 |