Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
488 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 113 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. #10601586 | C2 | semidirect |
| 5. #10601222 | C2 | semidirect |
| 6. C5×#1301 | C2 | semidirect |
| 7. #10598204 | C2 | semidirect |
| 19. #65135 | C4 | semidirect |
| 20. #65131 | C4 | semidirect |
| 72. #1301 | D5 | semidirect |
| 322. C5 | #9303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10611017 | 2 |
| #10610790 | 2 |
| #10601586 | 2 |
| #10601273 | 2 |
| #10601222 | 2 |
| C5×#1301 | 2 |
| #10598204 | 2 |
| #9303 | 5 |