Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
428 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #10601315 | C2 | semidirect |
| 5. #10601253 | C2 | semidirect |
| 6. #10601213 | C2 | semidirect |
| 7. #10598206 | C2 | semidirect |
| 352. C5 | #10503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615001 | 2 |
| C5×#1547 | 2 |
| #10602611 | 2 |
| #10601315 | 2 |
| #10601253 | 2 |
| #10601213 | 2 |
| #10598206 | 2 |
| #10503 | 5 |