Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 89 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. #10611047 | C2 | semidirect |
| 5. #10601613 | C2 | semidirect |
| 6. #10598248 | C2 | semidirect |
| 7. #10598246 | C2 | semidirect |
| 296. C5 | #9372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615005 | 2 |
| #10611047 | 2 |
| C5×#1536 | 2 |
| #10602593 | 2 |
| #10601613 | 2 |
| #10598248 | 2 |
| #10598246 | 2 |
| #9372 | 5 |