Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
542 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 542 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. #10615071 | C2 | semidirect |
| 4. #10602631 | C2 | semidirect |
| 6. #10601586 | C2 | semidirect |
| 7. #10598232 | C2 | semidirect |
| 130. C2×#168 | SD16 | semidirect |
| 345. C5 | #10220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3208 | 2 |
| #10615071 | 2 |
| #10614900 | 2 |
| #10602631 | 2 |
| #10602558 | 2 |
| #10601586 | 2 |
| #10598232 | 2 |
| #10220 | 5 |