Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
428 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 74 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. #10617274 | C2 | semidirect |
| 5. #10604520 | C2 | semidirect |
| 6. #10598565 | C2 | semidirect |
| 7. #10598564 | C2 | semidirect |
| 378. C5 | #9530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617274 | 2 |
| #10611865 | 2 |
| #10604934 | 2 |
| #10604923 | 2 |
| #10604520 | 2 |
| #10598565 | 2 |
| #10598564 | 2 |
| #9530 | 5 |