Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
426 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 88 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. #10603831 | C2 | semidirect |
| 3. #10603816 | C2 | semidirect |
| 4. #10598799 | C2 | semidirect |
| 5. #10598607 | C2 | semidirect |
| 19. #64886 | C22 | semidirect |
| 21. #64881 | C22 | semidirect |
| 80. C5×D8 | M16 | semidirect |
| 98. D40 | M16 | semidirect |
| 226. D8 | #700 | semidirect |
| 288. C5 | #11663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D5×D8 | 2 |
| #10603831 | 2 |
| #10603816 | 2 |
| #10598799 | 2 |
| #10598607 | 2 |
| #11663 | 5 |