Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
348 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 4. #10602535 | C2 | semidirect |
| 5. #10602528 | C2 | semidirect |
| 6. #10601588 | C2 | semidirect |
| 7. #10598244 | C2 | semidirect |
| 308. C5 | #10497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3234 | 2 |
| #10602602 | 2 |
| #10602590 | 2 |
| #10602535 | 2 |
| #10602528 | 2 |
| #10601588 | 2 |
| #10598244 | 2 |
| #10497 | 5 |