Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
476 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 476 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 |
|---|---|---|
| 3. #10604651 | C2 | semidirect |
| 4. #10604646 | C2 | semidirect |
| 6. #10598597 | C2 | semidirect |
| 7. #10598587 | C2 | semidirect |
| 384. C5 | #8993 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617137 | 2 |
| #10612790 | 2 |
| #10604651 | 2 |
| #10604646 | 2 |
| #10604401 | 2 |
| #10598597 | 2 |
| #10598587 | 2 |
| #8993 | 5 |