Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
436 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10614859 | C2 | semidirect |
| 3. C5×#1512 | C2 | semidirect |
| 4. #10601599 | C2 | semidirect |
| 5. #10600338 | C2 | semidirect |
| 6. #10598242 | C2 | semidirect |
| 7. #10598121 | C2 | semidirect |
| 12. #65356 | C4 | semidirect |
| 13. #65354 | C4 | semidirect |
| 14. #65347 | C4 | semidirect |
| 15. #65344 | C4 | semidirect |
| 93. #1512 | D5 | semidirect |
| 387. C5 | #9432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10614868 | 2 |
| #10614859 | 2 |
| C5×#1512 | 2 |
| #10601599 | 2 |
| #10600338 | 2 |
| #10598242 | 2 |
| #10598121 | 2 |
| #9432 | 5 |