Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
292 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 64 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. #10604371 | C2 | semidirect |
| 3. #10604370 | C2 | semidirect |
| 4. #10598750 | C2 | semidirect |
| 5. #10598745 | C2 | semidirect |
| 247. C5 | #11989 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10615163 | 2 |
| #10604371 | 2 |
| #10604370 | 2 |
| #10598750 | 2 |
| #10598745 | 2 |
| #11989 | 5 |