Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
514 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 514 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 |
|---|---|---|
| 2. #10611025 | C2 | semidirect |
| 3. C5×#1484 | C2 | semidirect |
| 4. #10602608 | C2 | semidirect |
| 5. C4×#3957 | C2 | semidirect |
| 6. #10598227 | C2 | semidirect |
| 7. #10598160 | C2 | semidirect |
| 14. #65380 | C4 | semidirect |
| 15. #65373 | C4 | semidirect |
| 16. #65364 | C4 | semidirect |
| 17. #65361 | C4 | semidirect |
| 88. #1484 | D5 | semidirect |
| 212. Dic10 | #104 | semidirect |
| 402. C5 | #8970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615030 | 2 |
| #10611025 | 2 |
| C5×#1484 | 2 |
| #10602608 | 2 |
| C4×#3957 | 2 |
| #10598227 | 2 |
| #10598160 | 2 |
| #8970 | 5 |