Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
522 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 90 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. #10604706 | C2 | semidirect |
| 3. #10598831 | C2 | semidirect |
| 4. #10598781 | C2 | semidirect |
| 15. C22⋊#674 | C22 | semidirect |
| 313. C5 | #11421 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#408 | 2 |
| #10604706 | 2 |
| #10598831 | 2 |
| #10598781 | 2 |
| #11421 | 5 |