Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
574 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #10605114 | C2 | semidirect |
| 5. #10601595 | C2 | semidirect |
| 6. #10598240 | C2 | semidirect |
| 7. #10598106 | C2 | semidirect |
| 14. #65380 | C4 | semidirect |
| 15. #65364 | C4 | semidirect |
| 182. Dic10 | #104 | semidirect |
| 340. C5 | #9326 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615047 | 2 |
| #10605114 | 2 |
| C5×#1505 | 2 |
| #10602611 | 2 |
| #10601595 | 2 |
| #10598240 | 2 |
| #10598106 | 2 |
| #9326 | 5 |