Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
244 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. C5×#1668 | C2 | semidirect |
| 3. #10601742 | C2 | semidirect |
| 4. #10601732 | C2 | semidirect |
| 5. #10598281 | C2 | semidirect |
| 6. #10597964 | C2 | semidirect |
| 7. #10597961 | C2 | semidirect |
| 49. #1668 | D5 | semidirect |
| 79. #672 | SD16 | semidirect |
| 213. C5 | #12442 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1668 | 2 |
| #10602083 | 2 |
| #10601742 | 2 |
| #10601732 | 2 |
| #10598281 | 2 |
| #10597964 | 2 |
| #10597961 | 2 |
| #12442 | 5 |