Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
458 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 123 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. #10601447 | C2 | semidirect |
| 5. #10598216 | C2 | semidirect |
| 12. #65426 | C4 | semidirect |
| 226. C5 | #13075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615538 | 2 |
| #10615511 | 2 |
| C5×#1812 | 2 |
| #10601447 | 2 |
| #10598216 | 2 |
| #13075 | 5 |