Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
488 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 488 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 |
|---|---|---|
| 3. #10611002 | C2 | semidirect |
| 5. #10600345 | C2 | semidirect |
| 6. #10600339 | C2 | semidirect |
| 7. #10598232 | C2 | semidirect |
| 337. C5 | #10226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615013 | 2 |
| #10615001 | 2 |
| #10611002 | 2 |
| C5×#1517 | 2 |
| #10600345 | 2 |
| #10600339 | 2 |
| #10598232 | 2 |
| #10226 | 5 |