Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
786 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 105 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. #10614491 | C2 | semidirect |
| 4. #10602483 | C2 | semidirect |
| 6. #10600756 | C2 | semidirect |
| 7. #10598168 | C2 | semidirect |
| 144. C22⋊Dic5 | SD16 | semidirect |
| 427. C5 | #9949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#3187 | 2 |
| #10614491 | 2 |
| C2×#65329 | 2 |
| #10602483 | 2 |
| #10602479 | 2 |
| #10600756 | 2 |
| #10598168 | 2 |
| #9949 | 5 |