Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
318 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 21. #64702 | C4 | semidirect |
| 22. #64702 | C4 | semidirect |
| 23. #64701 | C4 | semidirect |
| 24. #64701 | C4 | semidirect |
| 282. C5 | #9591 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10601569 | 2 |
| #10601534 | 2 |
| #10601313 | 2 |
| #10601294 | 2 |
| #10600286 | 2 |
| C5×#1303 | 2 |
| #10598110 | 2 |
| #9591 | 5 |