Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
380 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 12. #65382 | C4 | semidirect |
| 13. #65381 | C4 | semidirect |
| 14. #65370 | C4 | semidirect |
| 15. #65368 | C4 | semidirect |
| 275. C5 | #9416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615079 | 2 |
| #10611048 | 2 |
| C5×#1515 | 2 |
| #10602616 | 2 |
| #10600359 | 2 |
| #10598245 | 2 |
| #10598124 | 2 |
| #9416 | 5 |