Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
530 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 1. #10617185 | C2 | semidirect |
| 3. #10604606 | C2 | semidirect |
| 4. #10604604 | C2 | semidirect |
| 5. #10604436 | C2 | semidirect |
| 6. #10598597 | C2 | semidirect |
| 7. #10598587 | C2 | semidirect |
| 423. C5 | #8995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617185 | 2 |
| #10612113 | 2 |
| #10604606 | 2 |
| #10604604 | 2 |
| #10604436 | 2 |
| #10598597 | 2 |
| #10598587 | 2 |
| #8995 | 5 |