Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
432 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #10603897 | C2 | semidirect |
| 4. #10603798 | C2 | semidirect |
| 6. #10598556 | C2 | semidirect |
| 7. #10598509 | C2 | semidirect |
| 376. C5 | #8880 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617228 | 2 |
| #10604477 | 2 |
| #10603897 | 2 |
| #10603798 | 2 |
| #10599070 | 2 |
| #10598556 | 2 |
| #10598509 | 2 |
| #8880 | 5 |