Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
544 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 170 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. #10604066 | C2 | semidirect |
| 5. #10604064 | C2 | semidirect |
| 245. C5 | #17991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10617382 | 2 |
| #10613665 | 2 |
| #10604655 | 2 |
| #10604066 | 2 |
| #10604064 | 2 |
| #10603821 | 2 |
| #10603811 | 2 |
| #17991 | 5 |