Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
408 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 77 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. C5×#1551 | C2 | semidirect |
| 3. #10602605 | C2 | semidirect |
| 4. #10601625 | C2 | semidirect |
| 5. #10601239 | C2 | semidirect |
| 6. #10601226 | C2 | semidirect |
| 7. #10598246 | C2 | semidirect |
| 68. #1551 | D5 | semidirect |
| 304. C5 | #10512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615041 | 2 |
| C5×#1551 | 2 |
| #10602605 | 2 |
| #10601625 | 2 |
| #10601239 | 2 |
| #10601226 | 2 |
| #10598246 | 2 |
| #10512 | 5 |