Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
344 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 76 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. #10604708 | C2 | semidirect |
| 3. #10604698 | C2 | semidirect |
| 4. #10598802 | C2 | semidirect |
| 5. #10598617 | C2 | semidirect |
| 273. C5 | #11985 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10612428 | 2 |
| #10604708 | 2 |
| #10604698 | 2 |
| #10598802 | 2 |
| #10598617 | 2 |
| #11985 | 5 |