Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
676 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 107 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. #10601629 | C2 | semidirect |
| 5. #10601608 | C2 | semidirect |
| 6. #10601308 | C2 | semidirect |
| 7. #10601303 | C2 | semidirect |
| 16. #65876 | C4 | semidirect |
| 18. D4×Dic10 | C4 | semidirect |
| 387. C5 | #8496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10618132 | 2 |
| C5×#1557 | 2 |
| #10602605 | 2 |
| #10601629 | 2 |
| #10601608 | 2 |
| #10601308 | 2 |
| #10601303 | 2 |
| #8496 | 5 |