Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
326 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 103 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. #64701 | C4 | semidirect |
| 254. C5 | #9584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#1571 | 2 |
| #10601569 | 2 |
| #10601307 | 2 |
| #10601234 | 2 |
| #10601222 | 2 |
| #10598227 | 2 |
| #10598205 | 2 |
| #9584 | 5 |