Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
498 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 107 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. #10614861 | C2 | semidirect |
| 3. #10602554 | C2 | semidirect |
| 4. #10602553 | C2 | semidirect |
| 5. #10602548 | C2 | semidirect |
| 6. #10598246 | C2 | semidirect |
| 7. #10598240 | C2 | semidirect |
| 10. C5×#496 | C4 | semidirect |
| 11. C5×#490 | C4 | semidirect |
| 145. #496 | Dic5 | semidirect |
| 146. #490 | Dic5 | semidirect |
| 397. C5 | #9378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3217 | 2 |
| #10614861 | 2 |
| #10602554 | 2 |
| #10602553 | 2 |
| #10602548 | 2 |
| #10598246 | 2 |
| #10598240 | 2 |
| #9378 | 5 |