Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
1328 conjugacy classes of subgroups; only the 279 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 279 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 |
|---|---|---|
| 1. C5×#3573 | C2 | semidirect |
| 3. #10615525 | C2 | semidirect |
| 4. #10602938 | C2 | semidirect |
| 5. #10602822 | C2 | semidirect |
| 6. #10602819 | C2 | semidirect |
| 7. #10602804 | C2 | semidirect |
| 14. C22×C8×D5 | C22 | semidirect |
| 21. #65415 | C22 | semidirect |
| 22. #65408 | C22 | semidirect |
| 24. #65390 | C22 | semidirect |
| 25. #64776 | C22 | semidirect |
| 40. C2×C5×M16 | D4 | semidirect |
| 43. C22×C5×C8 | D4 | semidirect |
| 63. #3573 | D5 | semidirect |
| 167. C2×M16 | C22⋊D5 | semidirect |
| 173. C22×C8 | C22⋊D5 | semidirect |
| 271. C5 | #21483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3573 | 2 |
| #10615856 | 2 |
| #10615525 | 2 |
| #10602938 | 2 |
| #10602822 | 2 |
| #10602819 | 2 |
| #10602804 | 2 |
| #21483 | 5 |